{"id": "v3_test_id_00000000", "prompt": "Evaluate: (2 * (-1) + (-909)) / 6", "solution_steps": ["Multiply: 2 * (-1) = -2", "Add: -2 + (-909) = -911", "Divide: -911 / 6 = -911/6"], "final_answer": "-911/6", "answer_type": "rational", "kind": "expression", "math_text": "(2 * (-1) + (-909)) / 6", "variable": null, "family": "expression_3op", "shape": "(/ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -1, \"c\": -909, \"d\": 6}", "seed": "1841284308064954300", "semantic_fingerprint": "sha256:48a8c59732bfe67213590e8f50586c77e80f138b5a6a52b2291fcd6373748dc7", "generator_version": "3.0"}
{"id": "v3_test_id_00000001", "prompt": "Find x: -12(x + 3) = 9(x + 6)", "solution_steps": ["Expand: -12x - 36 = 9(x + 6)", "Expand: -12x - 36 = 9x + 54", "Subtract 9x from both sides: -21x - 36 = 54", "Add 36 to both sides: -21x = 90", "Divide both sides by -21: x = -30/7"], "final_answer": "-30/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 3) = 9(x + 6)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 3, \"c\": 9, \"d\": 6}", "seed": "4283558204137352691", "semantic_fingerprint": "sha256:5dd5e8995efd85cb09db45401e41be9a5c8bc96d7461b9c0ff8b57bb78d8c576", "generator_version": "3.0"}
{"id": "v3_test_id_00000002", "prompt": "Find x: -5(x + 851) - 1 = 2(x - 1) - 9", "solution_steps": ["Expand: -5x - 4255 - 1 = 2(x - 1) - 9", "Expand: -5x - 4255 - 1 = 2x - 2 - 9", "Combine constants: -5x - 4256 = 2x - 2 - 9", "Combine constants: -5x - 4256 = 2x - 11", "Subtract 2x from both sides: -7x - 4256 = -11", "Add 4256 to both sides: -7x = 4245", "Divide both sides by -7: x = -4245/7"], "final_answer": "-4245/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x + 851) - 1 = 2(x - 1) - 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 851, \"c\": 1, \"d\": 2, \"e\": 1, \"f\": 9}", "seed": "16513180453609681819", "semantic_fingerprint": "sha256:6efbb309c95605e9755aff0908fbc19f9e4ec18a834f1d96803f91a65f4ee48c", "generator_version": "3.0"}
{"id": "v3_test_id_00000003", "prompt": "Find x: 7x = -4(x - 1)", "solution_steps": ["Expand: 7x = -4x + 4", "Add 4x to both sides: 11x = 4", "Divide both sides by 11: x = 4/11"], "final_answer": "4/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x = -4(x - 1)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -4, \"c\": 1}", "seed": "5020033912745446137", "semantic_fingerprint": "sha256:41e7d3bf5c207198c3b21d1c0dd44132e9f57df1991c5267d74d48189cff1b66", "generator_version": "3.0"}
{"id": "v3_test_id_00000004", "prompt": "Calculate: -9 + (7 - (-407) - (-736))", "solution_steps": ["Subtract: 7 - (-407) = 414", "Subtract: 414 - (-736) = 1150", "Add: -9 + 1150 = 1141"], "final_answer": "1141", "answer_type": "integer", "kind": "expression", "math_text": "-9 + (7 - (-407) - (-736))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 7, \"c\": -407, \"d\": -736}", "seed": "8055730869666829367", "semantic_fingerprint": "sha256:3054a89880dfb2f4cc02f6df3f20afeae1fc0995338e1edac46104e77ffc7da8", "generator_version": "3.0"}
{"id": "v3_test_id_00000005", "prompt": "Evaluate: -93 + 673 + (3 - (-172) + 4)", "solution_steps": ["Add: -93 + 673 = 580", "Subtract: 3 - (-172) = 175", "Add: 175 + 4 = 179", "Add: 580 + 179 = 759"], "final_answer": "759", "answer_type": "integer", "kind": "expression", "math_text": "-93 + 673 + (3 - (-172) + 4)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": 673, \"c\": 3, \"d\": -172, \"e\": 4}", "seed": "15037728076787874260", "semantic_fingerprint": "sha256:3abd382251ae2c0ecc6b2b1e8df734afa0e86e12313234d7ba22046e45dbb458", "generator_version": "3.0"}
{"id": "v3_test_id_00000006", "prompt": "Evaluate: 275 / 9 - (-67)", "solution_steps": ["Divide: 275 / 9 = 275/9", "Subtract: 275/9 - (-67) = 878/9"], "final_answer": "878/9", "answer_type": "rational", "kind": "expression", "math_text": "275 / 9 - (-67)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 275, \"b\": 9, \"c\": -67}", "seed": "13316193897348869916", "semantic_fingerprint": "sha256:e2149709e6aaa589eb6248e8fb6568a7daf00326691ece8b24af958a3c4ac649", "generator_version": "3.0"}
{"id": "v3_test_id_00000007", "prompt": "Evaluate: (2 + 73) / (-6)", "solution_steps": ["Add: 2 + 73 = 75", "Divide: 75 / (-6) = -25/2"], "final_answer": "-25/2", "answer_type": "rational", "kind": "expression", "math_text": "(2 + 73) / (-6)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 73, \"c\": -6}", "seed": "6830839883927055418", "semantic_fingerprint": "sha256:d146e43dbad1eef4b6a3b5b71bc08fec75269069d3a98d725ea256912ace7032", "generator_version": "3.0"}
{"id": "v3_test_id_00000008", "prompt": "Evaluate: (7 - (-2)) / 25 - (40 + 1 * 58)", "solution_steps": ["Subtract: 7 - (-2) = 9", "Divide: 9 / 25 = 9/25", "Multiply: 1 * 58 = 58", "Add: 40 + 58 = 98", "Subtract: 9/25 - 98 = -2441/25"], "final_answer": "-2441/25", "answer_type": "rational", "kind": "expression", "math_text": "(7 - (-2)) / 25 - (40 + 1 * 58)", "variable": null, "family": "expression_5op", "shape": "(- (/ (- n n) n) (+ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -2, \"c\": 25, \"d\": 40, \"e\": 1, \"f\": 58}", "seed": "5305966266551836924", "semantic_fingerprint": "sha256:2bbe22827bdc768fb263d56aca5020a0e916ce8779d4f18959a0df4eeb94626f", "generator_version": "3.0"}
{"id": "v3_test_id_00000009", "prompt": "Compute: -7 / (-5) / (-56 + 1 * 137)", "solution_steps": ["Divide: -7 / (-5) = 7/5", "Multiply: 1 * 137 = 137", "Add: -56 + 137 = 81", "Divide: (7/5) / 81 = 7/405"], "final_answer": "7/405", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (-5) / (-56 + 1 * 137)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -5, \"c\": -56, \"d\": 1, \"e\": 137}", "seed": "12055689336154737058", "semantic_fingerprint": "sha256:4bafc590185100710b7b8d4bb2b20158f0c1dfba3518fa763d33de0a51b52149", "generator_version": "3.0"}
{"id": "v3_test_id_00000010", "prompt": "Solve for x: x = 12x + 176", "solution_steps": ["Subtract 12x from both sides: -11x = 176", "Divide both sides by -11: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 12x + 176", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"c\": 176, \"x\": -16}", "seed": "4598182449074204791", "semantic_fingerprint": "sha256:cdd02031f0cceff952a2ef6680e6e526b65e5e7bcbb838dbee7192c8606db526", "generator_version": "3.0"}
{"id": "v3_test_id_00000011", "prompt": "What is 98 / ((377 - (-30)) / (-68))?", "solution_steps": ["Subtract: 377 - (-30) = 407", "Divide: 407 / (-68) = -407/68", "Divide: 98 / (-407/68) = -6664/407"], "final_answer": "-6664/407", "answer_type": "rational", "kind": "expression", "math_text": "98 / ((377 - (-30)) / (-68))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": 377, \"c\": -30, \"d\": -68}", "seed": "6198487237223143978", "semantic_fingerprint": "sha256:9cd44b9a5f7c9530ee1306e32a98b69102b9c2e7e13bcdb8a8c03bfcd2e001d4", "generator_version": "3.0"}
{"id": "v3_test_id_00000012", "prompt": "What is 85 * (-62 - 23 * (-6 / (-90 - (-75))))?", "solution_steps": ["Subtract: -90 - (-75) = -15", "Divide: -6 / (-15) = 2/5", "Multiply: 23 * (2/5) = 46/5", "Subtract: -62 - 46/5 = -356/5", "Multiply: 85 * (-356/5) = -6052"], "final_answer": "-6052", "answer_type": "integer", "kind": "expression", "math_text": "85 * (-62 - 23 * (-6 / (-90 - (-75))))", "variable": null, "family": "expression_5op", "shape": "(* n (- n (* n (/ n (- n n)))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": -62, \"c\": 23, \"d\": -6, \"e\": -90, \"f\": -75}", "seed": "8478618877331664617", "semantic_fingerprint": "sha256:1b0931f8bf97e71f34f9c763fc4540b52a46149c5c4b1530a45b8b16aaa65030", "generator_version": "3.0"}
{"id": "v3_test_id_00000013", "prompt": "Calculate: (9 + (-8)) * (-45 - (-17))", "solution_steps": ["Add: 9 + (-8) = 1", "Subtract: -45 - (-17) = -28", "Multiply: 1 * (-28) = -28"], "final_answer": "-28", "answer_type": "integer", "kind": "expression", "math_text": "(9 + (-8)) * (-45 - (-17))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -8, \"c\": -45, \"d\": -17}", "seed": "15204133668372861203", "semantic_fingerprint": "sha256:03e490e3f006d5dc377c07af0b5496c64b2d0fbc78e70a79624038c12e9584ad", "generator_version": "3.0"}
{"id": "v3_test_id_00000014", "prompt": "What is -13 / (-3 / (-9) - (-93))?", "solution_steps": ["Divide: -3 / (-9) = 1/3", "Subtract: 1/3 - (-93) = 280/3", "Divide: -13 / (280/3) = -39/280"], "final_answer": "-39/280", "answer_type": "rational", "kind": "expression", "math_text": "-13 / (-3 / (-9) - (-93))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": -3, \"c\": -9, \"d\": -93}", "seed": "12851382657286963368", "semantic_fingerprint": "sha256:648d47f8a3941c8d10e55e1db615eb74d592318812463f61fb01aea70ee2be50", "generator_version": "3.0"}
{"id": "v3_test_id_00000015", "prompt": "Solve the equation 5x = 4x + 10 for x.", "solution_steps": ["Subtract 4x from both sides: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 4x + 10", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"d\": 10, \"x\": 10}", "seed": "901913886285992928", "semantic_fingerprint": "sha256:cd4a0e4f0084acfc51d8e8aee690a138f135f7d943082dd3a08ddd158efd7802", "generator_version": "3.0"}
{"id": "v3_test_id_00000016", "prompt": "What is 291 * 9?", "solution_steps": ["Multiply: 291 * 9 = 2619"], "final_answer": "2619", "answer_type": "integer", "kind": "expression", "math_text": "291 * 9", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 291, \"b\": 9}", "seed": "5051078951732440725", "semantic_fingerprint": "sha256:8b07a86fc3dc1b332aad46f43cee95d62673555acc276283469d76967a2a96f2", "generator_version": "3.0"}
{"id": "v3_test_id_00000017", "prompt": "Solve the equation x = 7(x - 7) - 6 for x.", "solution_steps": ["Expand: x = 7x - 49 - 6", "Combine constants: x = 7x - 55", "Subtract 7x from both sides: -6x = -55", "Divide both sides by -6: x = 55/6"], "final_answer": "55/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 7(x - 7) - 6", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 6}", "seed": "7039645324827417396", "semantic_fingerprint": "sha256:28920846fc9af45ee1fc086db18ae875f11746dd8992cf35e257fc06151cdd70", "generator_version": "3.0"}
{"id": "v3_test_id_00000018", "prompt": "What value of x satisfies -2x + 65 = x?", "solution_steps": ["Subtract x from both sides: -3x + 65 = 0", "Subtract 65 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": "-2x + 65 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 65}", "seed": "16812730195347150079", "semantic_fingerprint": "sha256:b98ab07c754a250256ba13eb8e88c82c5cb94f5c8c68bffdd884b6cddbc0f249", "generator_version": "3.0"}
{"id": "v3_test_id_00000019", "prompt": "Calculate: -8 / (-7 + (-546))", "solution_steps": ["Add: -7 + (-546) = -553", "Divide: -8 / (-553) = 8/553"], "final_answer": "8/553", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (-7 + (-546))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -7, \"c\": -546}", "seed": "8243729950225170067", "semantic_fingerprint": "sha256:3216cf6fdbb375e9660d3c0df7a68fd813361d1c3ad1087cacb6bd21be3435be", "generator_version": "3.0"}
{"id": "v3_test_id_00000020", "prompt": "Calculate: (-2 - (-352)) / (-880 - (834 + (-78)))", "solution_steps": ["Subtract: -2 - (-352) = 350", "Add: 834 + (-78) = 756", "Subtract: -880 - 756 = -1636", "Divide: 350 / (-1636) = -175/818"], "final_answer": "-175/818", "answer_type": "rational", "kind": "expression", "math_text": "(-2 - (-352)) / (-880 - (834 + (-78)))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -352, \"c\": -880, \"d\": 834, \"e\": -78}", "seed": "1480068636921562810", "semantic_fingerprint": "sha256:cab788466e6c933978bdec6d95e46e0ab91bd5c9c474de7e0d6a0f816313f8e2", "generator_version": "3.0"}
{"id": "v3_test_id_00000021", "prompt": "Evaluate: -534 * 21 * 0", "solution_steps": ["Multiply: -534 * 21 = -11214", "Multiply: -11214 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-534 * 21 * 0", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -534, \"b\": 21, \"c\": 0}", "seed": "1840940385161749505", "semantic_fingerprint": "sha256:27e260d047bd25f08480dec1f4928302616ba2ad874a4c65bded74e5332c493b", "generator_version": "3.0"}
{"id": "v3_test_id_00000022", "prompt": "Calculate: (730 + 8) / (-382) - (-4 - (-1 + 58))", "solution_steps": ["Add: 730 + 8 = 738", "Divide: 738 / (-382) = -369/191", "Add: -1 + 58 = 57", "Subtract: -4 - 57 = -61", "Subtract: -369/191 - (-61) = 11282/191"], "final_answer": "11282/191", "answer_type": "rational", "kind": "expression", "math_text": "(730 + 8) / (-382) - (-4 - (-1 + 58))", "variable": null, "family": "expression_5op", "shape": "(- (/ (+ n n) n) (- n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 730, \"b\": 8, \"c\": -382, \"d\": -4, \"e\": -1, \"f\": 58}", "seed": "13965480230986602698", "semantic_fingerprint": "sha256:5372f70230fe56b4ad8f34662cdef4fa9b929c278850b18020d0280953508208", "generator_version": "3.0"}
{"id": "v3_test_id_00000023", "prompt": "Compute: 9 / (1 + (-5)) + 918", "solution_steps": ["Add: 1 + (-5) = -4", "Divide: 9 / (-4) = -9/4", "Add: -9/4 + 918 = 3663/4"], "final_answer": "3663/4", "answer_type": "rational", "kind": "expression", "math_text": "9 / (1 + (-5)) + 918", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 1, \"c\": -5, \"d\": 918}", "seed": "141265330905481454", "semantic_fingerprint": "sha256:a3cd91b04438b8498552a0afceb1575c1bee2f565e48f29ed21cdd03c694cf2a", "generator_version": "3.0"}
{"id": "v3_test_id_00000024", "prompt": "What is (32 - 3) * (-56 - (-624))?", "solution_steps": ["Subtract: 32 - 3 = 29", "Subtract: -56 - (-624) = 568", "Multiply: 29 * 568 = 16472"], "final_answer": "16472", "answer_type": "integer", "kind": "expression", "math_text": "(32 - 3) * (-56 - (-624))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": 3, \"c\": -56, \"d\": -624}", "seed": "14584344634125770788", "semantic_fingerprint": "sha256:9d945d66ad3847a32edcb14581689782fbb50c9c97bcb6cb78e80607586eb88e", "generator_version": "3.0"}
{"id": "v3_test_id_00000025", "prompt": "Find x: -4x - 2 = x", "solution_steps": ["Subtract x from both sides: -5x - 2 = 0", "Add 2 to both sides: -5x = 2", "Divide both sides by -5: x = -2/5"], "final_answer": "-2/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4x - 2 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 2}", "seed": "6916484687642154036", "semantic_fingerprint": "sha256:1d313cbbb6df50353a5187e10ec58e885dcff41b8d643347ad63a5c0b8949e0e", "generator_version": "3.0"}
{"id": "v3_test_id_00000026", "prompt": "What is -639 - 40 / (18 - (-35))?", "solution_steps": ["Subtract: 18 - (-35) = 53", "Divide: 40 / 53 = 40/53", "Subtract: -639 - 40/53 = -33907/53"], "final_answer": "-33907/53", "answer_type": "rational", "kind": "expression", "math_text": "-639 - 40 / (18 - (-35))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -639, \"b\": 40, \"c\": 18, \"d\": -35}", "seed": "6187553657376254315", "semantic_fingerprint": "sha256:88642dec50d8d23f6739f662a985b695b7450cfa7985bc43a4e75c79e8987106", "generator_version": "3.0"}
{"id": "v3_test_id_00000027", "prompt": "What is -21 + (-781) * (-94) / (-510 - (-3))?", "solution_steps": ["Multiply: -781 * (-94) = 73414", "Subtract: -510 - (-3) = -507", "Divide: 73414 / (-507) = -73414/507", "Add: -21 + (-73414/507) = -84061/507"], "final_answer": "-84061/507", "answer_type": "rational", "kind": "expression", "math_text": "-21 + (-781) * (-94) / (-510 - (-3))", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (* n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": -781, \"c\": -94, \"d\": -510, \"e\": -3}", "seed": "8020756643926114090", "semantic_fingerprint": "sha256:68746701c56465d2835993cb8b993003e3dde8ef36d8f6a148fec8346a6da99f", "generator_version": "3.0"}
{"id": "v3_test_id_00000028", "prompt": "Evaluate: (-4 * (-18) - 1 * (-946)) / (-732)", "solution_steps": ["Multiply: -4 * (-18) = 72", "Multiply: 1 * (-946) = -946", "Subtract: 72 - (-946) = 1018", "Divide: 1018 / (-732) = -509/366"], "final_answer": "-509/366", "answer_type": "rational", "kind": "expression", "math_text": "(-4 * (-18) - 1 * (-946)) / (-732)", "variable": null, "family": "expression_4op", "shape": "(/ (- (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -18, \"c\": 1, \"d\": -946, \"e\": -732}", "seed": "5839389612502198357", "semantic_fingerprint": "sha256:594405f0d9e8f338cc315879b698c5976d70dae201934749a01be7ae83e3057d", "generator_version": "3.0"}
{"id": "v3_test_id_00000029", "prompt": "What is (9 + (-84) / 5) / (-79 / (-8 * (-609)))?", "solution_steps": ["Divide: -84 / 5 = -84/5", "Add: 9 + (-84/5) = -39/5", "Multiply: -8 * (-609) = 4872", "Divide: -79 / 4872 = -79/4872", "Divide: (-39/5) / (-79/4872) = 190008/395"], "final_answer": "190008/395", "answer_type": "rational", "kind": "expression", "math_text": "(9 + (-84) / 5) / (-79 / (-8 * (-609)))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (/ n n)) (/ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -84, \"c\": 5, \"d\": -79, \"e\": -8, \"f\": -609}", "seed": "17191344518536926251", "semantic_fingerprint": "sha256:a6b5e8076123d92ba695a1200ba6dec9ede1764e776ea495d2f82a3b85494cf9", "generator_version": "3.0"}
{"id": "v3_test_id_00000030", "prompt": "Calculate: -312 / (111 / (-93)) / (-7)", "solution_steps": ["Divide: 111 / (-93) = -37/31", "Divide: -312 / (-37/31) = 9672/37", "Divide: (9672/37) / (-7) = -9672/259"], "final_answer": "-9672/259", "answer_type": "rational", "kind": "expression", "math_text": "-312 / (111 / (-93)) / (-7)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -312, \"b\": 111, \"c\": -93, \"d\": -7}", "seed": "17832054669723283008", "semantic_fingerprint": "sha256:d6dd0566b0fd846668de4520898372a67fb999e5d23d82c472a741181c3c20a9", "generator_version": "3.0"}
{"id": "v3_test_id_00000031", "prompt": "Solve the equation x = 11(x - 430) + 565 for x.", "solution_steps": ["Expand: x = 11x - 4730 + 565", "Combine constants: x = 11x - 4165", "Subtract 11x from both sides: -10x = -4165", "Divide both sides by -10: x = 833/2"], "final_answer": "833/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 11(x - 430) + 565", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 430, \"c\": 565}", "seed": "16009171812726248606", "semantic_fingerprint": "sha256:2d396351db5b13207c8030b388aa8a89bc911771b710225fd1738203dc4c45a0", "generator_version": "3.0"}
{"id": "v3_test_id_00000032", "prompt": "Calculate: 6 + (-4) * (-632) - (24 - (-641))", "solution_steps": ["Multiply: -4 * (-632) = 2528", "Add: 6 + 2528 = 2534", "Subtract: 24 - (-641) = 665", "Subtract: 2534 - 665 = 1869"], "final_answer": "1869", "answer_type": "integer", "kind": "expression", "math_text": "6 + (-4) * (-632) - (24 - (-641))", "variable": null, "family": "expression_4op", "shape": "(- (+ n (* n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -4, \"c\": -632, \"d\": 24, \"e\": -641}", "seed": "6466889529000298649", "semantic_fingerprint": "sha256:735b947745d5483d9bf3feaac13c70b27e5ef2fa4e277a45346fb0add9dc2746", "generator_version": "3.0"}
{"id": "v3_test_id_00000033", "prompt": "Evaluate: (0 + (-9)) * (-49 / (-53 + (2 + (-1))))", "solution_steps": ["Add: 0 + (-9) = -9", "Add: 2 + (-1) = 1", "Add: -53 + 1 = -52", "Divide: -49 / (-52) = 49/52", "Multiply: -9 * (49/52) = -441/52"], "final_answer": "-441/52", "answer_type": "rational", "kind": "expression", "math_text": "(0 + (-9)) * (-49 / (-53 + (2 + (-1))))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (/ n (+ n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -9, \"c\": -49, \"d\": -53, \"e\": 2, \"f\": -1}", "seed": "8009010275767890091", "semantic_fingerprint": "sha256:20289038afa56926cfe9418e3f62ff5e844756e72bf444ffd7fb4226b83b0b9e", "generator_version": "3.0"}
{"id": "v3_test_id_00000034", "prompt": "What value of x satisfies -6(x + 9) + 324 = 10(x + 3)?", "solution_steps": ["Expand: -6x - 54 + 324 = 10(x + 3)", "Expand: -6x - 54 + 324 = 10x + 30", "Combine constants: -6x + 270 = 10x + 30", "Subtract 10x from both sides: -16x + 270 = 30", "Subtract 270 from both sides: -16x = -240", "Divide both sides by -16: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 9) + 324 = 10(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\": 9, \"c\": 10, \"d\": 3, \"f\": 324, \"x\": 15}", "seed": "1234101025850318255", "semantic_fingerprint": "sha256:c0f53a874f5f639045c4d5bcee5dd7cd0fb5e0c869df021878d0e7285c758a04", "generator_version": "3.0"}
{"id": "v3_test_id_00000035", "prompt": "Evaluate: (4 - (17 - (-10))) / (-1)", "solution_steps": ["Subtract: 17 - (-10) = 27", "Subtract: 4 - 27 = -23", "Divide: -23 / (-1) = 23"], "final_answer": "23", "answer_type": "integer", "kind": "expression", "math_text": "(4 - (17 - (-10))) / (-1)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 17, \"c\": -10, \"d\": -1}", "seed": "6345073765511597543", "semantic_fingerprint": "sha256:5b2c5afdb02387af9ca7609b8b2618fe5bad3eb92f71aca45f8a953ddc5bff3d", "generator_version": "3.0"}
{"id": "v3_test_id_00000036", "prompt": "What is (-81 - 43) / (-5)?", "solution_steps": ["Subtract: -81 - 43 = -124", "Divide: -124 / (-5) = 124/5"], "final_answer": "124/5", "answer_type": "rational", "kind": "expression", "math_text": "(-81 - 43) / (-5)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": 43, \"c\": -5}", "seed": "15958172368916733013", "semantic_fingerprint": "sha256:a1ae79919f591c65ecabb9e2e098e07e34d923f9ed1bb2aa5449b15201f9fa14", "generator_version": "3.0"}
{"id": "v3_test_id_00000037", "prompt": "Evaluate: -40 * (-42)", "solution_steps": ["Multiply: -40 * (-42) = 1680"], "final_answer": "1680", "answer_type": "integer", "kind": "expression", "math_text": "-40 * (-42)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": -42}", "seed": "3706756609881204725", "semantic_fingerprint": "sha256:f7d4b2fc23e710f25fe621f8cad0fed062d44f90b17c2b8b8932011de6e9e59f", "generator_version": "3.0"}
{"id": "v3_test_id_00000038", "prompt": "What is (352 - (-98)) * (-529)?", "solution_steps": ["Subtract: 352 - (-98) = 450", "Multiply: 450 * (-529) = -238050"], "final_answer": "-238050", "answer_type": "integer", "kind": "expression", "math_text": "(352 - (-98)) * (-529)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 352, \"b\": -98, \"c\": -529}", "seed": "11533828726922947815", "semantic_fingerprint": "sha256:f89b0df20b2fbbd6b815aa5048d1805481d6ca44a41caecf480c788820d77249", "generator_version": "3.0"}
{"id": "v3_test_id_00000039", "prompt": "What is 29 - (350 - (17 + (-684)))?", "solution_steps": ["Add: 17 + (-684) = -667", "Subtract: 350 - (-667) = 1017", "Subtract: 29 - 1017 = -988"], "final_answer": "-988", "answer_type": "integer", "kind": "expression", "math_text": "29 - (350 - (17 + (-684)))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 350, \"c\": 17, \"d\": -684}", "seed": "877730412409509219", "semantic_fingerprint": "sha256:ac29f4c7c38a61dbccae42ca48f87ee2c3a78e0becac16502180c401224e9a0a", "generator_version": "3.0"}
{"id": "v3_test_id_00000040", "prompt": "What is -1 + (-7) - (-693)?", "solution_steps": ["Add: -1 + (-7) = -8", "Subtract: -8 - (-693) = 685"], "final_answer": "685", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (-7) - (-693)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -7, \"c\": -693}", "seed": "3658000068177949056", "semantic_fingerprint": "sha256:a25257dea3557b930c82ac3418f29f2dcd66f73f423b9cf16bb63f019711876e", "generator_version": "3.0"}
{"id": "v3_test_id_00000041", "prompt": "Compute: -6 * 88", "solution_steps": ["Multiply: -6 * 88 = -528"], "final_answer": "-528", "answer_type": "integer", "kind": "expression", "math_text": "-6 * 88", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 88}", "seed": "13816194928776097724", "semantic_fingerprint": "sha256:4d397127e32cab23f909a319819e490c95a92745743f27db4ba83f146db90556", "generator_version": "3.0"}
{"id": "v3_test_id_00000042", "prompt": "What value of x satisfies 8x + 2 = 12(x - 2) + 1?", "solution_steps": ["Expand: 8x + 2 = 12x - 24 + 1", "Combine constants: 8x + 2 = 12x - 23", "Subtract 12x from both sides: -4x + 2 = -23", "Subtract 2 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": "8x + 2 = 12(x - 2) + 1", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": 12, \"d\": 2, \"e\": 1}", "seed": "4314601167584725925", "semantic_fingerprint": "sha256:9fb8b7aadef4779cf37383e808686be3615be2799b02a4807fa4e0a235c69b8e", "generator_version": "3.0"}
{"id": "v3_test_id_00000043", "prompt": "Solve for x: 8(x + 8) - 35 = -5(x + 6)", "solution_steps": ["Expand: 8x + 64 - 35 = -5(x + 6)", "Expand: 8x + 64 - 35 = -5x - 30", "Combine constants: 8x + 29 = -5x - 30", "Add 5x to both sides: 13x + 29 = -30", "Subtract 29 from both sides: 13x = -59", "Divide both sides by 13: x = -59/13"], "final_answer": "-59/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 8) - 35 = -5(x + 6)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 8, \"c\": 35, \"d\": -5, \"e\": 6}", "seed": "8043238920307547043", "semantic_fingerprint": "sha256:d9712aba56067c9d7106740200c5209b099e5c7e266ae36bdb014cce9e41acb3", "generator_version": "3.0"}
{"id": "v3_test_id_00000044", "prompt": "Solve the equation 4x - 70 = x - 67 for x.", "solution_steps": ["Subtract x from both sides: 3x - 70 = -67", "Add 70 to both sides: 3x = 3", "Divide both sides by 3: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 70 = x - 67", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 70, \"d\": -67, \"x\": 1}", "seed": "523665840409932161", "semantic_fingerprint": "sha256:10acf24b0354d7241074fe425695357e30b9b9605c84f3f3a5adb6c21218ca3e", "generator_version": "3.0"}
{"id": "v3_test_id_00000045", "prompt": "Evaluate: -762 / (-98 - 367) / 3 + 75 / 3", "solution_steps": ["Subtract: -98 - 367 = -465", "Divide: -762 / (-465) = 254/155", "Divide: (254/155) / 3 = 254/465", "Divide: 75 / 3 = 25", "Add: 254/465 + 25 = 11879/465"], "final_answer": "11879/465", "answer_type": "rational", "kind": "expression", "math_text": "-762 / (-98 - 367) / 3 + 75 / 3", "variable": null, "family": "expression_5op", "shape": "(+ (/ (/ n (- n n)) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -762, \"b\": -98, \"c\": 367, \"d\": 3, \"e\": 75, \"f\": 3}", "seed": "11282164736720178476", "semantic_fingerprint": "sha256:3098ed6647f22a433fb5a510d979cc11347a4bf056f485df5074846f18df86b1", "generator_version": "3.0"}
{"id": "v3_test_id_00000046", "prompt": "Solve the equation -3x = x for x.", "solution_steps": ["Subtract x from both sides: -4x = 0", "Divide both sides by -4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3}", "seed": "13373457780128273034", "semantic_fingerprint": "sha256:82d2a317330ce93827588ac9f4deb9cb3cf50ad7e206f758765e53a3a2263d61", "generator_version": "3.0"}
{"id": "v3_test_id_00000047", "prompt": "Solve the equation x = 8(x + 300) for x.", "solution_steps": ["Expand: x = 8x + 2400", "Subtract 8x from both sides: -7x = 2400", "Divide both sides by -7: x = -2400/7"], "final_answer": "-2400/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 8(x + 300)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 300}", "seed": "6453692665172245230", "semantic_fingerprint": "sha256:3b675db77e688172b79cb1552ed9ea7c0b8c7dc86d3f0eee663c00c89616c1ca", "generator_version": "3.0"}
{"id": "v3_test_id_00000048", "prompt": "Solve the equation 10x - 80 = 0 for x.", "solution_steps": ["Add 80 to both sides: 10x = 80", "Divide both sides by 10: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 80 = 0", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 80, \"d\": 0, \"x\": 8}", "seed": "1682875102101410151", "semantic_fingerprint": "sha256:a933c2ddb1302a1347519bd21383352191e3780efdecff9403e86e2d06108281", "generator_version": "3.0"}
{"id": "v3_test_id_00000049", "prompt": "What value of x satisfies 11x + 98 = 4x?", "solution_steps": ["Subtract 4x from both sides: 7x + 98 = 0", "Subtract 98 from both sides: 7x = -98", "Divide both sides by 7: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 98 = 4x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"d\": 98, \"x\": -14}", "seed": "13459403896481596962", "semantic_fingerprint": "sha256:e9a6e4e4137bc048742d1c0d557745c58eb55ee89ca1af85cde14d6c4e9304a6", "generator_version": "3.0"}
{"id": "v3_test_id_00000050", "prompt": "Evaluate: 78 / 17", "solution_steps": ["Divide: 78 / 17 = 78/17"], "final_answer": "78/17", "answer_type": "rational", "kind": "expression", "math_text": "78 / 17", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": 17}", "seed": "7035979661236617311", "semantic_fingerprint": "sha256:ff252db47a6b27effe88ca0a33b3c8ff139b3dafe22ffbe9865696d17e06d799", "generator_version": "3.0"}
{"id": "v3_test_id_00000051", "prompt": "Solve for x: x = 7(x - 6) + 79", "solution_steps": ["Expand: x = 7x - 42 + 79", "Combine constants: x = 7x + 37", "Subtract 7x from both sides: -6x = 37", "Divide both sides by -6: x = -37/6"], "final_answer": "-37/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 7(x - 6) + 79", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": 79}", "seed": "9380838098585628311", "semantic_fingerprint": "sha256:4d44d7398cf3ebc008066e48254da044c0c4cb8b95d478e6af9a8b4b20157b4c", "generator_version": "3.0"}
{"id": "v3_test_id_00000052", "prompt": "Compute: 2 / (-57)", "solution_steps": ["Divide: 2 / (-57) = -2/57"], "final_answer": "-2/57", "answer_type": "rational", "kind": "expression", "math_text": "2 / (-57)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -57}", "seed": "5914175251816557924", "semantic_fingerprint": "sha256:0d833d8de7cd979d181e293efc1a1197fb9f7f9b0d13ea46422a1a32fdc8e228", "generator_version": "3.0"}
{"id": "v3_test_id_00000053", "prompt": "Evaluate: 56 * 13 - (3 - 203 / (-25) - 49)", "solution_steps": ["Multiply: 56 * 13 = 728", "Divide: 203 / (-25) = -203/25", "Subtract: 3 - (-203/25) = 278/25", "Subtract: 278/25 - 49 = -947/25", "Subtract: 728 - (-947/25) = 19147/25"], "final_answer": "19147/25", "answer_type": "rational", "kind": "expression", "math_text": "56 * 13 - (3 - 203 / (-25) - 49)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (- (- n (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 13, \"c\": 3, \"d\": 203, \"e\": -25, \"f\": 49}", "seed": "13637082676873910492", "semantic_fingerprint": "sha256:6e6af838b3a2c391ea4c9f340e5f811d585fa2b832d8ad869ec0c3f13a3be032", "generator_version": "3.0"}
{"id": "v3_test_id_00000054", "prompt": "Compute: (99 * (-342) - (-6)) / (-31 * (7 + (-82)))", "solution_steps": ["Multiply: 99 * (-342) = -33858", "Subtract: -33858 - (-6) = -33852", "Add: 7 + (-82) = -75", "Multiply: -31 * (-75) = 2325", "Divide: -33852 / 2325 = -364/25"], "final_answer": "-364/25", "answer_type": "rational", "kind": "expression", "math_text": "(99 * (-342) - (-6)) / (-31 * (7 + (-82)))", "variable": null, "family": "expression_5op", "shape": "(/ (- (* n n) n) (* n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": -342, \"c\": -6, \"d\": -31, \"e\": 7, \"f\": -82}", "seed": "5906630503764811395", "semantic_fingerprint": "sha256:ad801f144fd9b05576f97ae7c767816d32d80f645c491e0f07602f3e79f6fd67", "generator_version": "3.0"}
{"id": "v3_test_id_00000055", "prompt": "What is 633 - (-72) - (-7) / (-52 / (-13 - 0))?", "solution_steps": ["Subtract: 633 - (-72) = 705", "Subtract: -13 - 0 = -13", "Divide: -52 / (-13) = 4", "Divide: -7 / 4 = -7/4", "Subtract: 705 - (-7/4) = 2827/4"], "final_answer": "2827/4", "answer_type": "rational", "kind": "expression", "math_text": "633 - (-72) - (-7) / (-52 / (-13 - 0))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (/ n (/ n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 633, \"b\": -72, \"c\": -7, \"d\": -52, \"e\": -13, \"f\": 0}", "seed": "11289940293063097564", "semantic_fingerprint": "sha256:821769ee8ffc58d4f873391159dca2f7328761e9b02bc4ca28c5c8c80bb23b23", "generator_version": "3.0"}
{"id": "v3_test_id_00000056", "prompt": "What is 982 / (360 - (-1)) * 7?", "solution_steps": ["Subtract: 360 - (-1) = 361", "Divide: 982 / 361 = 982/361", "Multiply: (982/361) * 7 = 6874/361"], "final_answer": "6874/361", "answer_type": "rational", "kind": "expression", "math_text": "982 / (360 - (-1)) * 7", "variable": null, "family": "expression_3op", "shape": "(* (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 982, \"b\": 360, \"c\": -1, \"d\": 7}", "seed": "9786523351947477703", "semantic_fingerprint": "sha256:7224b55b9330231d7447cc29b3a3de0c67e979411ad22d4495ad680be61fa852", "generator_version": "3.0"}
{"id": "v3_test_id_00000057", "prompt": "What value of x satisfies x + 102 = 7x?", "solution_steps": ["Subtract 7x from both sides: -6x + 102 = 0", "Subtract 102 from both sides: -6x = -102", "Divide both sides by -6: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 102 = 7x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"c\": 102, \"x\": 17}", "seed": "6515004103088539515", "semantic_fingerprint": "sha256:d36cfc62826c3076f6c9922f8088603e74d2ad16c2c0c27fe12545501193ba6c", "generator_version": "3.0"}
{"id": "v3_test_id_00000058", "prompt": "Solve for x: 9(x + 7) - 12 = 2x - 505", "solution_steps": ["Expand: 9x + 63 - 12 = 2x - 505", "Combine constants: 9x + 51 = 2x - 505", "Subtract 2x from both sides: 7x + 51 = -505", "Subtract 51 from both sides: 7x = -556", "Divide both sides by 7: x = -556/7"], "final_answer": "-556/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 7) - 12 = 2x - 505", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": 12, \"d\": 2, \"e\": 505}", "seed": "614116559766675549", "semantic_fingerprint": "sha256:f24d95d1e4a128d90c62cf5725dd95898ee706a9550a25aab1c18b0bd4981be7", "generator_version": "3.0"}
{"id": "v3_test_id_00000059", "prompt": "What is -2 / (-44 / 423)?", "solution_steps": ["Divide: -44 / 423 = -44/423", "Divide: -2 / (-44/423) = 423/22"], "final_answer": "423/22", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-44 / 423)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -44, \"c\": 423}", "seed": "10316316731646554488", "semantic_fingerprint": "sha256:51d8540507060a04f5d6c8a13e082b7003c0f613899aba2552f9a5e5bb344106", "generator_version": "3.0"}
{"id": "v3_test_id_00000060", "prompt": "Calculate: 0 / (-36) * (0 - 78 / (-32))", "solution_steps": ["Divide: 0 / (-36) = 0", "Divide: 78 / (-32) = -39/16", "Subtract: 0 - (-39/16) = 39/16", "Multiply: 0 * (39/16) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-36) * (0 - 78 / (-32))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -36, \"c\": 0, \"d\": 78, \"e\": -32}", "seed": "3992049040565772917", "semantic_fingerprint": "sha256:77f93fb936bc47ba3356787596004553352c7a1e7f8b80af0db7a960c8bf994d", "generator_version": "3.0"}
{"id": "v3_test_id_00000061", "prompt": "Solve the equation -8x + 8 = x - 64 for x.", "solution_steps": ["Subtract x from both sides: -9x + 8 = -64", "Subtract 8 from both sides: -9x = -72", "Divide both sides by -9: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x + 8 = x - 64", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 8, \"d\": -64, \"x\": 8}", "seed": "7341957025166576656", "semantic_fingerprint": "sha256:3d32376709881c4aa3a13b66338dfc6dacc840536513dee546e3ddb12c7c178a", "generator_version": "3.0"}
{"id": "v3_test_id_00000062", "prompt": "Compute: 95 * (-179 / (-43 / 5))", "solution_steps": ["Divide: -43 / 5 = -43/5", "Divide: -179 / (-43/5) = 895/43", "Multiply: 95 * (895/43) = 85025/43"], "final_answer": "85025/43", "answer_type": "rational", "kind": "expression", "math_text": "95 * (-179 / (-43 / 5))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": -179, \"c\": -43, \"d\": 5}", "seed": "18388881329721711049", "semantic_fingerprint": "sha256:d0cc5230e48b8c8130e4ba14e64f208dacd2a05a8bebb0af5dd021f38499ef59", "generator_version": "3.0"}
{"id": "v3_test_id_00000063", "prompt": "Find x: 6x - 489 = 5(x - 28) - 356", "solution_steps": ["Expand: 6x - 489 = 5x - 140 - 356", "Combine constants: 6x - 489 = 5x - 496", "Subtract 5x from both sides: x - 489 = -496", "Add 489 to both sides: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 489 = 5(x - 28) - 356", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 489, \"c\": 5, \"d\": 28, \"f\": -356, \"x\": -7}", "seed": "17070651476846370383", "semantic_fingerprint": "sha256:30ed71708b769dcc7689587081991e346829de9134a55692eabb500f5cce963c", "generator_version": "3.0"}
{"id": "v3_test_id_00000064", "prompt": "Calculate: 173 + 231 - (472 - 223)", "solution_steps": ["Add: 173 + 231 = 404", "Subtract: 472 - 223 = 249", "Subtract: 404 - 249 = 155"], "final_answer": "155", "answer_type": "integer", "kind": "expression", "math_text": "173 + 231 - (472 - 223)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 173, \"b\": 231, \"c\": 472, \"d\": 223}", "seed": "18220007863024378879", "semantic_fingerprint": "sha256:c5b06d66c4b17c911528eb4cfe3043f05d062b841291479805f74d6634eacf0d", "generator_version": "3.0"}
{"id": "v3_test_id_00000065", "prompt": "Solve for x: 10(x + 13) = -3(x - 109) - 366", "solution_steps": ["Expand: 10x + 130 = -3(x - 109) - 366", "Expand: 10x + 130 = -3x + 327 - 366", "Combine constants: 10x + 130 = -3x - 39", "Add 3x to both sides: 13x + 130 = -39", "Subtract 130 from both sides: 13x = -169", "Divide both sides by 13: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 13) = -3(x - 109) - 366", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 13, \"c\": -3, \"d\": 109, \"f\": -366, \"x\": -13}", "seed": "14638744321906017760", "semantic_fingerprint": "sha256:c24373d579f93a592126d386f8c36b8854f7dd025d0e6cd3bddce0c834df5bcc", "generator_version": "3.0"}
{"id": "v3_test_id_00000066", "prompt": "What value of x satisfies 4x + 57 = x?", "solution_steps": ["Subtract x from both sides: 3x + 57 = 0", "Subtract 57 from both sides: 3x = -57", "Divide both sides by 3: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x + 57 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"c\": 57, \"x\": -19}", "seed": "13334497382612149627", "semantic_fingerprint": "sha256:9842a7b713f05d05e96b8159c721db7319516e512b19bab39382dda5bece710c", "generator_version": "3.0"}
{"id": "v3_test_id_00000067", "prompt": "Solve for x: x = 3(x - 6)", "solution_steps": ["Expand: x = 3x - 18", "Subtract 3x from both sides: -2x = -18", "Divide both sides by -2: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 3(x - 6)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6}", "seed": "15991817294690400045", "semantic_fingerprint": "sha256:08eea35d7caa9a7e7be0067067a635cb4d876737fe0368f2b71451110c3ef5c6", "generator_version": "3.0"}
{"id": "v3_test_id_00000068", "prompt": "Find x: 3x + 9 = -3x + 15", "solution_steps": ["Add 3x to both sides: 6x + 9 = 15", "Subtract 9 from both sides: 6x = 6", "Divide both sides by 6: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x + 9 = -3x + 15", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": -3, \"e\": 15, \"x\": 1}", "seed": "180527964252284307", "semantic_fingerprint": "sha256:6d3d9a0d4191ae2ec8b11a24d9b69e11b9afb617957ab3083c4542133c0958f9", "generator_version": "3.0"}
{"id": "v3_test_id_00000069", "prompt": "Evaluate: 69 * 6", "solution_steps": ["Multiply: 69 * 6 = 414"], "final_answer": "414", "answer_type": "integer", "kind": "expression", "math_text": "69 * 6", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": 6}", "seed": "4209719843179847999", "semantic_fingerprint": "sha256:04a6d1abfc3ff9f6acae5996ffa2f31ae31ee5e849f827d81a3d25bbbfe26775", "generator_version": "3.0"}
{"id": "v3_test_id_00000070", "prompt": "Evaluate: 493 / ((-78 - (-9)) / (-8))", "solution_steps": ["Subtract: -78 - (-9) = -69", "Divide: -69 / (-8) = 69/8", "Divide: 493 / (69/8) = 3944/69"], "final_answer": "3944/69", "answer_type": "rational", "kind": "expression", "math_text": "493 / ((-78 - (-9)) / (-8))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 493, \"b\": -78, \"c\": -9, \"d\": -8}", "seed": "12741195391116129638", "semantic_fingerprint": "sha256:4d4c21fb4bb1d8a5dccf66a72de096f7ae8058eb331a0fc4760d91ccddd6f928", "generator_version": "3.0"}
{"id": "v3_test_id_00000071", "prompt": "Compute: 1 - (-448)", "solution_steps": ["Subtract: 1 - (-448) = 449"], "final_answer": "449", "answer_type": "integer", "kind": "expression", "math_text": "1 - (-448)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -448}", "seed": "4547038743795423958", "semantic_fingerprint": "sha256:acf8fc1d4a13f2e6b3177973e44911a4de2bf15f8e9bd889047caa61947b9c25", "generator_version": "3.0"}
{"id": "v3_test_id_00000072", "prompt": "Solve the equation 11x - 238 = 2x + 4 for x.", "solution_steps": ["Subtract 2x from both sides: 9x - 238 = 4", "Add 238 to both sides: 9x = 242", "Divide both sides by 9: x = 242/9"], "final_answer": "242/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x - 238 = 2x + 4", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 238, \"c\": 2, \"d\": 4}", "seed": "1641346895026840490", "semantic_fingerprint": "sha256:eced30576531c42a1dfe77847e8bf6ad9c6fd837302196b6451768f41657ce8e", "generator_version": "3.0"}
{"id": "v3_test_id_00000073", "prompt": "What is -17 * (-70) - (-46)?", "solution_steps": ["Multiply: -17 * (-70) = 1190", "Subtract: 1190 - (-46) = 1236"], "final_answer": "1236", "answer_type": "integer", "kind": "expression", "math_text": "-17 * (-70) - (-46)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": -70, \"c\": -46}", "seed": "14674740545664320486", "semantic_fingerprint": "sha256:e7910c80f36d7684ee937838f305d1e6ad8ba25183b40f552aae3cd18ad2410e", "generator_version": "3.0"}
{"id": "v3_test_id_00000074", "prompt": "Solve the equation -8(x - 36) = x + 108 for x.", "solution_steps": ["Expand: -8x + 288 = x + 108", "Subtract x from both sides: -9x + 288 = 108", "Subtract 288 from both sides: -9x = -180", "Divide both sides by -9: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 36) = x + 108", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 36, \"d\": 108, \"x\": 20}", "seed": "13895140778050861762", "semantic_fingerprint": "sha256:04a8dc4629b5806734b72cb9de438d2a080eb87f10c13f6d2b344724d7bc92dd", "generator_version": "3.0"}
{"id": "v3_test_id_00000075", "prompt": "What is 343 * (-489 - (-81)) / (-6)?", "solution_steps": ["Subtract: -489 - (-81) = -408", "Multiply: 343 * (-408) = -139944", "Divide: -139944 / (-6) = 23324"], "final_answer": "23324", "answer_type": "integer", "kind": "expression", "math_text": "343 * (-489 - (-81)) / (-6)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 343, \"b\": -489, \"c\": -81, \"d\": -6}", "seed": "15934680532547577102", "semantic_fingerprint": "sha256:a2dc7d079a046a4c1ddaacdbc70b5420cdaea2dbb19590e20a3a5e4998756b53", "generator_version": "3.0"}
{"id": "v3_test_id_00000076", "prompt": "Solve for x: x + 23 = 2(x + 6)", "solution_steps": ["Expand: x + 23 = 2x + 12", "Subtract 2x from both sides: -x + 23 = 12", "Subtract 23 from both sides: -x = -11", "Divide both sides by -1: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 23 = 2(x + 6)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"d\": 23, \"x\": 11}", "seed": "6517824928838324514", "semantic_fingerprint": "sha256:8a24fa78f678c26889b033e784db71e438370e48a41e556e4252bae0eb209dfe", "generator_version": "3.0"}
{"id": "v3_test_id_00000077", "prompt": "Compute: -57 - (-191)", "solution_steps": ["Subtract: -57 - (-191) = 134"], "final_answer": "134", "answer_type": "integer", "kind": "expression", "math_text": "-57 - (-191)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": -191}", "seed": "12587355132299682304", "semantic_fingerprint": "sha256:952fe8527c73f62b803f8941fd833a540fe7644efe18affa40c4e04c784a0c46", "generator_version": "3.0"}
{"id": "v3_test_id_00000078", "prompt": "Calculate: (-90 + (-9)) / (-39 - (91 + 3))", "solution_steps": ["Add: -90 + (-9) = -99", "Add: 91 + 3 = 94", "Subtract: -39 - 94 = -133", "Divide: -99 / (-133) = 99/133"], "final_answer": "99/133", "answer_type": "rational", "kind": "expression", "math_text": "(-90 + (-9)) / (-39 - (91 + 3))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": -9, \"c\": -39, \"d\": 91, \"e\": 3}", "seed": "13526100167117907120", "semantic_fingerprint": "sha256:54549f932840af652b3b1af2901747c291ab426b3ffcfbe949bba41eb165e05a", "generator_version": "3.0"}
{"id": "v3_test_id_00000079", "prompt": "Calculate: 644 - (-771) * (39 + 4) + 47", "solution_steps": ["Add: 39 + 4 = 43", "Multiply: -771 * 43 = -33153", "Subtract: 644 - (-33153) = 33797", "Add: 33797 + 47 = 33844"], "final_answer": "33844", "answer_type": "integer", "kind": "expression", "math_text": "644 - (-771) * (39 + 4) + 47", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 644, \"b\": -771, \"c\": 39, \"d\": 4, \"e\": 47}", "seed": "12201769444376369908", "semantic_fingerprint": "sha256:19a518bb0a0ef0f5f4d608e1bbf1e2d30ddb70d5cfe4c47ab7e0e153c8c7b47b", "generator_version": "3.0"}
{"id": "v3_test_id_00000080", "prompt": "What is 5 / (-68 - (-519))?", "solution_steps": ["Subtract: -68 - (-519) = 451", "Divide: 5 / 451 = 5/451"], "final_answer": "5/451", "answer_type": "rational", "kind": "expression", "math_text": "5 / (-68 - (-519))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -68, \"c\": -519}", "seed": "14921394805850907432", "semantic_fingerprint": "sha256:91b009a3dc9151631e9060dc7e23ecdd1ea680255070514620c500c383ee29d1", "generator_version": "3.0"}
{"id": "v3_test_id_00000081", "prompt": "Compute: 77 - (-792 - 216) / (-6)", "solution_steps": ["Subtract: -792 - 216 = -1008", "Divide: -1008 / (-6) = 168", "Subtract: 77 - 168 = -91"], "final_answer": "-91", "answer_type": "integer", "kind": "expression", "math_text": "77 - (-792 - 216) / (-6)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": -792, \"c\": 216, \"d\": -6}", "seed": "18213833692121006959", "semantic_fingerprint": "sha256:47b37ea430fdc28f438f2e8e351a5808011b0b01e333d7e1dd63f20a839909a6", "generator_version": "3.0"}
{"id": "v3_test_id_00000082", "prompt": "Compute: -7 * 4", "solution_steps": ["Multiply: -7 * 4 = -28"], "final_answer": "-28", "answer_type": "integer", "kind": "expression", "math_text": "-7 * 4", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 4}", "seed": "5605888072769369111", "semantic_fingerprint": "sha256:bd53f599ad87d8cbd94ac36c3903ced7e9ff57b63f001fb37a65e2cc0d7c9e92", "generator_version": "3.0"}
{"id": "v3_test_id_00000083", "prompt": "Calculate: (40 - (-17 + 19)) / (-18) * 53", "solution_steps": ["Add: -17 + 19 = 2", "Subtract: 40 - 2 = 38", "Divide: 38 / (-18) = -19/9", "Multiply: (-19/9) * 53 = -1007/9"], "final_answer": "-1007/9", "answer_type": "rational", "kind": "expression", "math_text": "(40 - (-17 + 19)) / (-18) * 53", "variable": null, "family": "expression_4op", "shape": "(* (/ (- n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": -17, \"c\": 19, \"d\": -18, \"e\": 53}", "seed": "3063370893609638180", "semantic_fingerprint": "sha256:100ebeeac6c33907470448d3cad52ab25ac22521804099819f57d4868098d11c", "generator_version": "3.0"}
{"id": "v3_test_id_00000084", "prompt": "Solve the equation 8x = 9(x - 7) + 53 for x.", "solution_steps": ["Expand: 8x = 9x - 63 + 53", "Combine constants: 8x = 9x - 10", "Subtract 9x from both sides: -x = -10", "Divide both sides by -1: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 9(x - 7) + 53", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": 7, \"e\": 53, \"x\": 10}", "seed": "7462931720650368673", "semantic_fingerprint": "sha256:6ffbbcdbd8e3796207106454b30539d6802cf4e3ac02b1feab0ce6052ff2ab54", "generator_version": "3.0"}
{"id": "v3_test_id_00000085", "prompt": "Calculate: -2 - (-946)", "solution_steps": ["Subtract: -2 - (-946) = 944"], "final_answer": "944", "answer_type": "integer", "kind": "expression", "math_text": "-2 - (-946)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -946}", "seed": "5571747930250387808", "semantic_fingerprint": "sha256:59406beba2c136a4acb4f01a90fec64d95f10388f86c1261047ccbf27e57a858", "generator_version": "3.0"}
{"id": "v3_test_id_00000086", "prompt": "Compute: 0 * 2 - (-31) * (-329)", "solution_steps": ["Multiply: 0 * 2 = 0", "Multiply: -31 * (-329) = 10199", "Subtract: 0 - 10199 = -10199"], "final_answer": "-10199", "answer_type": "integer", "kind": "expression", "math_text": "0 * 2 - (-31) * (-329)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 2, \"c\": -31, \"d\": -329}", "seed": "11756891396033659992", "semantic_fingerprint": "sha256:e73fee9ea83f6562cf65d842218a162a851c2e9f50eb8406cde9478656cf7e63", "generator_version": "3.0"}
{"id": "v3_test_id_00000087", "prompt": "What is 8 * 42 / (-97) + (-1) + (-304 + (-16))?", "solution_steps": ["Multiply: 8 * 42 = 336", "Divide: 336 / (-97) = -336/97", "Add: -336/97 + (-1) = -433/97", "Add: -304 + (-16) = -320", "Add: -433/97 + (-320) = -31473/97"], "final_answer": "-31473/97", "answer_type": "rational", "kind": "expression", "math_text": "8 * 42 / (-97) + (-1) + (-304 + (-16))", "variable": null, "family": "expression_5op", "shape": "(+ (+ (/ (* n n) n) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 42, \"c\": -97, \"d\": -1, \"e\": -304, \"f\": -16}", "seed": "9878461227210962717", "semantic_fingerprint": "sha256:4f7f83b2e6d56a9850c345c0e8f6e4739ab34f7809c7962f694af1e2c64cc200", "generator_version": "3.0"}
{"id": "v3_test_id_00000088", "prompt": "What value of x satisfies 5x + 750 = x + 738?", "solution_steps": ["Subtract x from both sides: 4x + 750 = 738", "Subtract 750 from both sides: 4x = -12", "Divide both sides by 4: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 750 = x + 738", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 750, \"d\": 738, \"x\": -3}", "seed": "18175265343343224095", "semantic_fingerprint": "sha256:795ee6e163886f41b370e61d4715fabf083f2d20e856afa1d3299992191a7e81", "generator_version": "3.0"}
{"id": "v3_test_id_00000089", "prompt": "Solve the equation 11(x + 26) - 233 = 6(x + 8) for x.", "solution_steps": ["Expand: 11x + 286 - 233 = 6(x + 8)", "Expand: 11x + 286 - 233 = 6x + 48", "Combine constants: 11x + 53 = 6x + 48", "Subtract 6x from both sides: 5x + 53 = 48", "Subtract 53 from both sides: 5x = -5", "Divide both sides by 5: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 26) - 233 = 6(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\": 26, \"c\": 6, \"d\": 8, \"f\": -233, \"x\": -1}", "seed": "4009546704091181376", "semantic_fingerprint": "sha256:0f157adca2399bf43eb6dbaa175e7efb914136e33269131399fe0c8ad964dc90", "generator_version": "3.0"}
{"id": "v3_test_id_00000090", "prompt": "What value of x satisfies 7(x - 12) - 9 = -52?", "solution_steps": ["Expand: 7x - 84 - 9 = -52", "Combine constants: 7x - 93 = -52", "Add 93 to both sides: 7x = 41", "Divide both sides by 7: x = 41/7"], "final_answer": "41/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 12) - 9 = -52", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 12, \"c\": 9, \"d\": -52}", "seed": "12719652408737494805", "semantic_fingerprint": "sha256:4ce07a10ac980a31b19854a9281bd946c781f91585d51222798ad03aa73f2376", "generator_version": "3.0"}
{"id": "v3_test_id_00000091", "prompt": "Evaluate: -659 - (-8) + 89", "solution_steps": ["Subtract: -659 - (-8) = -651", "Add: -651 + 89 = -562"], "final_answer": "-562", "answer_type": "integer", "kind": "expression", "math_text": "-659 - (-8) + 89", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -659, \"b\": -8, \"c\": 89}", "seed": "7506088420577635014", "semantic_fingerprint": "sha256:5df71703fb513ceeff7e2ea2f0a94982eb03e236b96cdeafe7ad3eadd91082bc", "generator_version": "3.0"}
{"id": "v3_test_id_00000092", "prompt": "What value of x satisfies -11(x + 26) + 3 = 10x - 199?", "solution_steps": ["Expand: -11x - 286 + 3 = 10x - 199", "Combine constants: -11x - 283 = 10x - 199", "Subtract 10x from both sides: -21x - 283 = -199", "Add 283 to both sides: -21x = 84", "Divide both sides by -21: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 26) + 3 = 10x - 199", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 26, \"c\": 3, \"d\": 10, \"f\": -199, \"x\": -4}", "seed": "2033598449979309229", "semantic_fingerprint": "sha256:5512fac5bc0bf515ea0467a5fab7592d21d0c84b4944ac81f33a1c2caabdfa75", "generator_version": "3.0"}
{"id": "v3_test_id_00000093", "prompt": "Find x: x - 1 = -12x + 142", "solution_steps": ["Add 12x to both sides: 13x - 1 = 142", "Add 1 to both sides: 13x = 143", "Divide both sides by 13: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1 = -12x + 142", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -12, \"d\": 142, \"x\": 11}", "seed": "1521454747453522954", "semantic_fingerprint": "sha256:9575d740bcc2472fe5c1d26fb039107ff317afb077cdd7bd80ff43b14b8ac2bf", "generator_version": "3.0"}
{"id": "v3_test_id_00000094", "prompt": "Solve the equation 8(x + 3) + 288 = -9x + 448 for x.", "solution_steps": ["Expand: 8x + 24 + 288 = -9x + 448", "Combine constants: 8x + 312 = -9x + 448", "Add 9x to both sides: 17x + 312 = 448", "Subtract 312 from both sides: 17x = 136", "Divide both sides by 17: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 3) + 288 = -9x + 448", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": 288, \"d\": -9, \"f\": 448, \"x\": 8}", "seed": "5408211776997391342", "semantic_fingerprint": "sha256:71c9564ef9fe538ad638d36aa23c60255719453542aa57e1eee1e7c70cb02545", "generator_version": "3.0"}
{"id": "v3_test_id_00000095", "prompt": "Calculate: 929 * 49 / (-76)", "solution_steps": ["Multiply: 929 * 49 = 45521", "Divide: 45521 / (-76) = -45521/76"], "final_answer": "-45521/76", "answer_type": "rational", "kind": "expression", "math_text": "929 * 49 / (-76)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 929, \"b\": 49, \"c\": -76}", "seed": "7445555702102209042", "semantic_fingerprint": "sha256:6f05b6dd095fc0f81aadab7d4c5d02bf6e1b534f37b8fe582dbe6ef86d8a6791", "generator_version": "3.0"}
{"id": "v3_test_id_00000096", "prompt": "Evaluate: 9 / (-6 / (-59)) - (-4)", "solution_steps": ["Divide: -6 / (-59) = 6/59", "Divide: 9 / (6/59) = 177/2", "Subtract: 177/2 - (-4) = 185/2"], "final_answer": "185/2", "answer_type": "rational", "kind": "expression", "math_text": "9 / (-6 / (-59)) - (-4)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -6, \"c\": -59, \"d\": -4}", "seed": "14651045910469773306", "semantic_fingerprint": "sha256:27860b46d91fae6f936b12072aaff47aad190a024446fd7011d37f4b555e8067", "generator_version": "3.0"}
{"id": "v3_test_id_00000097", "prompt": "Find x: x - 1 = -4(x + 523)", "solution_steps": ["Expand: x - 1 = -4x - 2092", "Add 4x to both sides: 5x - 1 = -2092", "Add 1 to both sides: 5x = -2091", "Divide both sides by 5: x = -2091/5"], "final_answer": "-2091/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 1 = -4(x + 523)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -4, \"c\": 523}", "seed": "18074333953874697564", "semantic_fingerprint": "sha256:f0c613223997aa32e068b30fa5991393de46ebe39ce57ee48d2adcb9a88fcb42", "generator_version": "3.0"}
{"id": "v3_test_id_00000098", "prompt": "Solve for x: 6x - 63 = -9(x + 7)", "solution_steps": ["Expand: 6x - 63 = -9x - 63", "Add 9x to both sides: 15x - 63 = -63", "Add 63 to both sides: 15x = 0", "Divide both sides by 15: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 63 = -9(x + 7)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -9, \"c\": 7, \"e\": -63, \"x\": 0}", "seed": "312063444063950142", "semantic_fingerprint": "sha256:42cd86cf8e6fe33b2d73e486dfdb5deb09e68c0d79ce28e718ede2232a2263a6", "generator_version": "3.0"}
{"id": "v3_test_id_00000099", "prompt": "What is -162 + (-3 - (-4) * (-96))?", "solution_steps": ["Multiply: -4 * (-96) = 384", "Subtract: -3 - 384 = -387", "Add: -162 + (-387) = -549"], "final_answer": "-549", "answer_type": "integer", "kind": "expression", "math_text": "-162 + (-3 - (-4) * (-96))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -162, \"b\": -3, \"c\": -4, \"d\": -96}", "seed": "3529142718275285267", "semantic_fingerprint": "sha256:b8fd922c1e9b1017ff426dfaf61b5100a5480e00b537b15f40a64d88add19b5a", "generator_version": "3.0"}
{"id": "v3_test_id_00000100", "prompt": "Calculate: (-79 + 82) * (-81)", "solution_steps": ["Add: -79 + 82 = 3", "Multiply: 3 * (-81) = -243"], "final_answer": "-243", "answer_type": "integer", "kind": "expression", "math_text": "(-79 + 82) * (-81)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": 82, \"c\": -81}", "seed": "16205823586405555555", "semantic_fingerprint": "sha256:b0abee9eabf568288c7adfaafaa9c0f2a6ded86edfd5e80f2931405cb7e42ccf", "generator_version": "3.0"}
{"id": "v3_test_id_00000101", "prompt": "Solve for x: -11(x + 65) = x", "solution_steps": ["Expand: -11x - 715 = x", "Subtract x from both sides: -12x - 715 = 0", "Add 715 to both sides: -12x = 715", "Divide both sides by -12: x = -715/12"], "final_answer": "-715/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x + 65) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 65}", "seed": "18177290683307554384", "semantic_fingerprint": "sha256:fdb51dfc87e70e38e33b6f080b8c1dd81c0793f02763fb20b3ac2815db3cb530", "generator_version": "3.0"}
{"id": "v3_test_id_00000102", "prompt": "Evaluate: -642 / (-88) * (-6 + (6 + 4) + (-3))", "solution_steps": ["Divide: -642 / (-88) = 321/44", "Add: 6 + 4 = 10", "Add: -6 + 10 = 4", "Add: 4 + (-3) = 1", "Multiply: (321/44) * 1 = 321/44"], "final_answer": "321/44", "answer_type": "rational", "kind": "expression", "math_text": "-642 / (-88) * (-6 + (6 + 4) + (-3))", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (+ (+ n (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -642, \"b\": -88, \"c\": -6, \"d\": 6, \"e\": 4, \"f\": -3}", "seed": "10112823040218561832", "semantic_fingerprint": "sha256:956829020aa7613b0c827e1418b56ad3cca912ab07ab76a7f019bd8ae5fb6251", "generator_version": "3.0"}
{"id": "v3_test_id_00000103", "prompt": "What is (-3 + (900 + (-76))) / (-670 * 3)?", "solution_steps": ["Add: 900 + (-76) = 824", "Add: -3 + 824 = 821", "Multiply: -670 * 3 = -2010", "Divide: 821 / (-2010) = -821/2010"], "final_answer": "-821/2010", "answer_type": "rational", "kind": "expression", "math_text": "(-3 + (900 + (-76))) / (-670 * 3)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 900, \"c\": -76, \"d\": -670, \"e\": 3}", "seed": "12246529160343562462", "semantic_fingerprint": "sha256:5871dfd0f3d96a62004de22da883c156acc432a750433bf30b6a69fe1ea2322e", "generator_version": "3.0"}
{"id": "v3_test_id_00000104", "prompt": "What value of x satisfies -5x = x + 36?", "solution_steps": ["Subtract x from both sides: -6x = 36", "Divide both sides by -6: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x = x + 36", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"c\": 36, \"x\": -6}", "seed": "1832578222996211054", "semantic_fingerprint": "sha256:1cf205a48fe503b42db3b67f6e616a617816b2cbecfd1e6052934b5b7e0ba37a", "generator_version": "3.0"}
{"id": "v3_test_id_00000105", "prompt": "Find x: 7x + 9 = 47", "solution_steps": ["Subtract 9 from both sides: 7x = 38", "Divide both sides by 7: x = 38/7"], "final_answer": "38/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x + 9 = 47", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": 47}", "seed": "15981842492661482307", "semantic_fingerprint": "sha256:7839da3b95d0c80f316094f4bd8c850d48d844842b89a52d3ecfed83d7088087", "generator_version": "3.0"}
{"id": "v3_test_id_00000106", "prompt": "Solve for x: 8(x + 12) = -4(x - 99)", "solution_steps": ["Expand: 8x + 96 = -4(x - 99)", "Expand: 8x + 96 = -4x + 396", "Add 4x to both sides: 12x + 96 = 396", "Subtract 96 from both sides: 12x = 300", "Divide both sides by 12: x = 25"], "final_answer": "25", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 12) = -4(x - 99)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 12, \"c\": -4, \"d\": 99}", "seed": "17866571779120343746", "semantic_fingerprint": "sha256:78291b62ebaa41c8d291fdabc4da152ebdc55a21a57cb1ffeda67cfa70e0cc42", "generator_version": "3.0"}
{"id": "v3_test_id_00000107", "prompt": "Evaluate: 622 * (-9) / 88", "solution_steps": ["Multiply: 622 * (-9) = -5598", "Divide: -5598 / 88 = -2799/44"], "final_answer": "-2799/44", "answer_type": "rational", "kind": "expression", "math_text": "622 * (-9) / 88", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 622, \"b\": -9, \"c\": 88}", "seed": "616733288729684803", "semantic_fingerprint": "sha256:1cdcb9b32a219104e0112065395e96f7727ef2512bf1f446c69e8aa904c703d0", "generator_version": "3.0"}
{"id": "v3_test_id_00000108", "prompt": "Compute: -4 - (-41) * 57", "solution_steps": ["Multiply: -41 * 57 = -2337", "Subtract: -4 - (-2337) = 2333"], "final_answer": "2333", "answer_type": "integer", "kind": "expression", "math_text": "-4 - (-41) * 57", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -41, \"c\": 57}", "seed": "2653198633456872784", "semantic_fingerprint": "sha256:53ee03237337a8ec6711cf2208440a3877ae9a2561b8a3d7f40856c85979c60e", "generator_version": "3.0"}
{"id": "v3_test_id_00000109", "prompt": "What is -384 * 0?", "solution_steps": ["Multiply: -384 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-384 * 0", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -384, \"b\": 0}", "seed": "6460463575734415239", "semantic_fingerprint": "sha256:0b36e165fb7a6a1c43219053b9c12182c05d741af971d362a19abe048f3becae", "generator_version": "3.0"}
{"id": "v3_test_id_00000110", "prompt": "Solve the equation x + 5 = -11(x + 8) for x.", "solution_steps": ["Expand: x + 5 = -11x - 88", "Add 11x to both sides: 12x + 5 = -88", "Subtract 5 from both sides: 12x = -93", "Divide both sides by 12: x = -31/4"], "final_answer": "-31/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 5 = -11(x + 8)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -11, \"c\": 8}", "seed": "12720096757762136874", "semantic_fingerprint": "sha256:7a2fbd69ee74c214c454f24033f1ae73be1e04561143852677ba328c7cc14a04", "generator_version": "3.0"}
{"id": "v3_test_id_00000111", "prompt": "Calculate: 245 / (-73) / 82", "solution_steps": ["Divide: 245 / (-73) = -245/73", "Divide: (-245/73) / 82 = -245/5986"], "final_answer": "-245/5986", "answer_type": "rational", "kind": "expression", "math_text": "245 / (-73) / 82", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 245, \"b\": -73, \"c\": 82}", "seed": "1981540502123793732", "semantic_fingerprint": "sha256:19b74830671676703157dec7d862002a686bcf49a2e8785527afa92997cce453", "generator_version": "3.0"}
{"id": "v3_test_id_00000112", "prompt": "Calculate: -386 + (-67 - 489)", "solution_steps": ["Subtract: -67 - 489 = -556", "Add: -386 + (-556) = -942"], "final_answer": "-942", "answer_type": "integer", "kind": "expression", "math_text": "-386 + (-67 - 489)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -386, \"b\": -67, \"c\": 489}", "seed": "14663090376513303709", "semantic_fingerprint": "sha256:b701c7a1a44abecec98a019ba94894f02e7a45fbd606f2d33b54b6af2c87e0fd", "generator_version": "3.0"}
{"id": "v3_test_id_00000113", "prompt": "Solve for x: 3x = 2(x - 7) + 12", "solution_steps": ["Expand: 3x = 2x - 14 + 12", "Combine constants: 3x = 2x - 2", "Subtract 2x from both sides: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 2(x - 7) + 12", "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\": 12, \"x\": -2}", "seed": "14875732400074113048", "semantic_fingerprint": "sha256:f8b34894dd17e22470f30eb82118554b0dd47480132851013da1d435210347df", "generator_version": "3.0"}
{"id": "v3_test_id_00000114", "prompt": "Solve the equation 10(x + 3) = 3(x + 34) - 75 for x.", "solution_steps": ["Expand: 10x + 30 = 3(x + 34) - 75", "Expand: 10x + 30 = 3x + 102 - 75", "Combine constants: 10x + 30 = 3x + 27", "Subtract 3x from both sides: 7x + 30 = 27", "Subtract 30 from both sides: 7x = -3", "Divide both sides by 7: x = -3/7"], "final_answer": "-3/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 3) = 3(x + 34) - 75", "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\": 3, \"d\": 34, \"e\": 75}", "seed": "4222765409746546326", "semantic_fingerprint": "sha256:8e28d8418ccffbb39b0cc43fd77ec71023119d619c7910c686b4dd1509a28468", "generator_version": "3.0"}
{"id": "v3_test_id_00000115", "prompt": "Evaluate: -68 * 8 * ((47 + 890) / (91 - 93))", "solution_steps": ["Multiply: -68 * 8 = -544", "Add: 47 + 890 = 937", "Subtract: 91 - 93 = -2", "Divide: 937 / (-2) = -937/2", "Multiply: -544 * (-937/2) = 254864"], "final_answer": "254864", "answer_type": "integer", "kind": "expression", "math_text": "-68 * 8 * ((47 + 890) / (91 - 93))", "variable": null, "family": "expression_5op", "shape": "(* (* n n) (/ (+ n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": 8, \"c\": 47, \"d\": 890, \"e\": 91, \"f\": 93}", "seed": "9623372271361371720", "semantic_fingerprint": "sha256:0e4ffd178e5ed6285bdece922bde72b9140b42fd3997cc2bfca407e6d4c26e0b", "generator_version": "3.0"}
{"id": "v3_test_id_00000116", "prompt": "What value of x satisfies 3(x + 309) = 4x?", "solution_steps": ["Expand: 3x + 927 = 4x", "Subtract 4x from both sides: -x + 927 = 0", "Subtract 927 from both sides: -x = -927", "Divide both sides by -1: x = 927"], "final_answer": "927", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 309) = 4x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 309, \"c\": 4}", "seed": "3955481952803042878", "semantic_fingerprint": "sha256:cc7665248dbe786333aeffff0b8a204583aa4b5e139563854b0447c85d8df876", "generator_version": "3.0"}
{"id": "v3_test_id_00000117", "prompt": "Compute: (-606 + (-77)) * (-887)", "solution_steps": ["Add: -606 + (-77) = -683", "Multiply: -683 * (-887) = 605821"], "final_answer": "605821", "answer_type": "integer", "kind": "expression", "math_text": "(-606 + (-77)) * (-887)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -606, \"b\": -77, \"c\": -887}", "seed": "6370237748974680453", "semantic_fingerprint": "sha256:cf97e3fa499b2c51ee2e6afca27fab1617480961514da4c2562f863474fdbbc8", "generator_version": "3.0"}
{"id": "v3_test_id_00000118", "prompt": "What value of x satisfies -12x + 9 = -75?", "solution_steps": ["Subtract 9 from both sides: -12x = -84", "Divide both sides by -12: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x + 9 = -75", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 9, \"d\": -75, \"x\": 7}", "seed": "8249362778656034975", "semantic_fingerprint": "sha256:72d3e0edc6aca98f3301c2df73d75d36f40756444fcc508275b811294c15bf8f", "generator_version": "3.0"}
{"id": "v3_test_id_00000119", "prompt": "Calculate: 10 / (380 * (-1)) - (-6) - (-8)", "solution_steps": ["Multiply: 380 * (-1) = -380", "Divide: 10 / (-380) = -1/38", "Subtract: -1/38 - (-6) = 227/38", "Subtract: 227/38 - (-8) = 531/38"], "final_answer": "531/38", "answer_type": "rational", "kind": "expression", "math_text": "10 / (380 * (-1)) - (-6) - (-8)", "variable": null, "family": "expression_4op", "shape": "(- (- (/ n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 380, \"c\": -1, \"d\": -6, \"e\": -8}", "seed": "2591689346717426563", "semantic_fingerprint": "sha256:8bcacd383dacd014858f67d92c28a95ff30e9b18de66106b2e077a20d455ad4f", "generator_version": "3.0"}
{"id": "v3_test_id_00000120", "prompt": "Solve for x: 7x = x - 36", "solution_steps": ["Subtract x from both sides: 6x = -36", "Divide both sides by 6: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = x - 36", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"c\": -36, \"x\": -6}", "seed": "17203384560249942439", "semantic_fingerprint": "sha256:0fc70bfa5eeb654f4f87cc6222cb8c7f0387202aa4cf310ba0622da2260c6ef4", "generator_version": "3.0"}
{"id": "v3_test_id_00000121", "prompt": "Solve for x: 5(x - 7) = -8(x + 94) - 59", "solution_steps": ["Expand: 5x - 35 = -8(x + 94) - 59", "Expand: 5x - 35 = -8x - 752 - 59", "Combine constants: 5x - 35 = -8x - 811", "Add 8x to both sides: 13x - 35 = -811", "Add 35 to both sides: 13x = -776", "Divide both sides by 13: x = -776/13"], "final_answer": "-776/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 7) = -8(x + 94) - 59", "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\": -8, \"d\": 94, \"e\": 59}", "seed": "8028207436160919661", "semantic_fingerprint": "sha256:21229ed8ed72e856c5763287e54cd94c3cac361698f1f2da0f34da81172de714", "generator_version": "3.0"}
{"id": "v3_test_id_00000122", "prompt": "What is 3 - (-747 - 6)?", "solution_steps": ["Subtract: -747 - 6 = -753", "Subtract: 3 - (-753) = 756"], "final_answer": "756", "answer_type": "integer", "kind": "expression", "math_text": "3 - (-747 - 6)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -747, \"c\": 6}", "seed": "17115010131397860169", "semantic_fingerprint": "sha256:58349daeccae4fb3bb31823d4ba98923eb97c00594facc04fa6a7afc50ce039a", "generator_version": "3.0"}
{"id": "v3_test_id_00000123", "prompt": "Solve for x: x = -7x + 80", "solution_steps": ["Add 7x to both sides: 8x = 80", "Divide both sides by 8: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -7x + 80", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"c\": 80, \"x\": 10}", "seed": "16410915117461963567", "semantic_fingerprint": "sha256:0325967565860a481bec19799699c73839cc7c03233d0019258ac02a127ff8a2", "generator_version": "3.0"}
{"id": "v3_test_id_00000124", "prompt": "What is 3 + 26 * (-6)?", "solution_steps": ["Multiply: 26 * (-6) = -156", "Add: 3 + (-156) = -153"], "final_answer": "-153", "answer_type": "integer", "kind": "expression", "math_text": "3 + 26 * (-6)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 26, \"c\": -6}", "seed": "1547965861124905095", "semantic_fingerprint": "sha256:1909bb19c1a5b85e6fe02d5ddab30b1d35f50baabbbb53ac1212c1965639bb9c", "generator_version": "3.0"}
{"id": "v3_test_id_00000125", "prompt": "What is 3 + 560 * 856?", "solution_steps": ["Multiply: 560 * 856 = 479360", "Add: 3 + 479360 = 479363"], "final_answer": "479363", "answer_type": "integer", "kind": "expression", "math_text": "3 + 560 * 856", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 560, \"c\": 856}", "seed": "3936581970887686938", "semantic_fingerprint": "sha256:123bfffe3d4181f75faafe5f86274faced08759ddcff2c1e84d808e2d848a8fe", "generator_version": "3.0"}
{"id": "v3_test_id_00000126", "prompt": "Calculate: 0 + 32 * (-511 + (-105) - 130)", "solution_steps": ["Add: -511 + (-105) = -616", "Subtract: -616 - 130 = -746", "Multiply: 32 * (-746) = -23872", "Add: 0 + (-23872) = -23872"], "final_answer": "-23872", "answer_type": "integer", "kind": "expression", "math_text": "0 + 32 * (-511 + (-105) - 130)", "variable": null, "family": "expression_4op", "shape": "(+ n (* n (- (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 32, \"c\": -511, \"d\": -105, \"e\": 130}", "seed": "11690472471806879128", "semantic_fingerprint": "sha256:cfce091ab89dd151ceab35ab4578ccf33ba7c1051930d197aa4dcbd63a1e50c7", "generator_version": "3.0"}
{"id": "v3_test_id_00000127", "prompt": "Calculate: 18 + (8 * 361 + 22 - 6)", "solution_steps": ["Multiply: 8 * 361 = 2888", "Add: 2888 + 22 = 2910", "Subtract: 2910 - 6 = 2904", "Add: 18 + 2904 = 2922"], "final_answer": "2922", "answer_type": "integer", "kind": "expression", "math_text": "18 + (8 * 361 + 22 - 6)", "variable": null, "family": "expression_4op", "shape": "(+ n (- (+ (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": 8, \"c\": 361, \"d\": 22, \"e\": 6}", "seed": "830443082758590825", "semantic_fingerprint": "sha256:d197557fc85fdefa7ec6186c3e2b141a46ae55c7385daa5b528ef250f187f2ed", "generator_version": "3.0"}
{"id": "v3_test_id_00000128", "prompt": "Evaluate: 615 * 67", "solution_steps": ["Multiply: 615 * 67 = 41205"], "final_answer": "41205", "answer_type": "integer", "kind": "expression", "math_text": "615 * 67", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 615, \"b\": 67}", "seed": "9734509060091096610", "semantic_fingerprint": "sha256:d27a67b27077ea1ff78d7dc9607a117d3bc57efe71ed3d67249f82639ef960d0", "generator_version": "3.0"}
{"id": "v3_test_id_00000129", "prompt": "Find x: -12x + 412 = 8(x - 335) - 20", "solution_steps": ["Expand: -12x + 412 = 8x - 2680 - 20", "Combine constants: -12x + 412 = 8x - 2700", "Subtract 8x from both sides: -20x + 412 = -2700", "Subtract 412 from both sides: -20x = -3112", "Divide both sides by -20: x = 778/5"], "final_answer": "778/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x + 412 = 8(x - 335) - 20", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 412, \"c\": 8, \"d\": 335, \"e\": 20}", "seed": "15959482221714463246", "semantic_fingerprint": "sha256:36e40e763575fcea62da79cc8f0923757dba387c927ce5accd2f0b831a6d92c4", "generator_version": "3.0"}
{"id": "v3_test_id_00000130", "prompt": "Compute: (905 - 1) / (-1)", "solution_steps": ["Subtract: 905 - 1 = 904", "Divide: 904 / (-1) = -904"], "final_answer": "-904", "answer_type": "integer", "kind": "expression", "math_text": "(905 - 1) / (-1)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 905, \"b\": 1, \"c\": -1}", "seed": "5443454406698542239", "semantic_fingerprint": "sha256:8c7fd671c86c5f163d3eb99c62e96a68e09e7a662eabe48f568df1d626cd963f", "generator_version": "3.0"}
{"id": "v3_test_id_00000131", "prompt": "What value of x satisfies x - 304 = -6(x + 53)?", "solution_steps": ["Expand: x - 304 = -6x - 318", "Add 6x to both sides: 7x - 304 = -318", "Add 304 to both sides: 7x = -14", "Divide both sides by 7: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 304 = -6(x + 53)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 53, \"d\": -304, \"x\": -2}", "seed": "18389372506951612425", "semantic_fingerprint": "sha256:c08a38577a663a6484aec39404508cb3f16efcb5bce62b7b5154c77693e182fe", "generator_version": "3.0"}
{"id": "v3_test_id_00000132", "prompt": "Find x: -12x - 3 = 5", "solution_steps": ["Add 3 to both sides: -12x = 8", "Divide both sides by -12: x = -2/3"], "final_answer": "-2/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x - 3 = 5", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 3, \"c\": 5}", "seed": "15001256488490989281", "semantic_fingerprint": "sha256:b8662c4400e9afc2ac1900aa4fb9a5cc079f1e3fda7e4cfa736de6107d84f200", "generator_version": "3.0"}
{"id": "v3_test_id_00000133", "prompt": "Compute: 630 / (-420) + (-64)", "solution_steps": ["Divide: 630 / (-420) = -3/2", "Add: -3/2 + (-64) = -131/2"], "final_answer": "-131/2", "answer_type": "rational", "kind": "expression", "math_text": "630 / (-420) + (-64)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 630, \"b\": -420, \"c\": -64}", "seed": "13818772219677934546", "semantic_fingerprint": "sha256:7d86fe33f0bd1511cefe375c2e42ae59f90fdee21afedaf5ece82c6facc2ec6c", "generator_version": "3.0"}
{"id": "v3_test_id_00000134", "prompt": "Calculate: (3 - 297 + (-695)) * (-224 / (-23 * 61))", "solution_steps": ["Subtract: 3 - 297 = -294", "Add: -294 + (-695) = -989", "Multiply: -23 * 61 = -1403", "Divide: -224 / (-1403) = 224/1403", "Multiply: -989 * (224/1403) = -9632/61"], "final_answer": "-9632/61", "answer_type": "rational", "kind": "expression", "math_text": "(3 - 297 + (-695)) * (-224 / (-23 * 61))", "variable": null, "family": "expression_5op", "shape": "(* (+ (- n n) n) (/ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 297, \"c\": -695, \"d\": -224, \"e\": -23, \"f\": 61}", "seed": "11331424342560863468", "semantic_fingerprint": "sha256:8a3611bf114ebcb01b1b830ac411f8be8fd8e5e28f566d784630e031b6b2ee8a", "generator_version": "3.0"}
{"id": "v3_test_id_00000135", "prompt": "Find x: x = -7x - 40", "solution_steps": ["Add 7x to both sides: 8x = -40", "Divide both sides by 8: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -7x - 40", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 40}", "seed": "16186574336535195772", "semantic_fingerprint": "sha256:df4c5d27edf680b8d4aa2f6bb1b58356eaa7261f80b6ca1004b84a4faee1fa76", "generator_version": "3.0"}
{"id": "v3_test_id_00000136", "prompt": "Calculate: -46 / (-15 - (-9 + 27) + (-3))", "solution_steps": ["Add: -9 + 27 = 18", "Subtract: -15 - 18 = -33", "Add: -33 + (-3) = -36", "Divide: -46 / (-36) = 23/18"], "final_answer": "23/18", "answer_type": "rational", "kind": "expression", "math_text": "-46 / (-15 - (-9 + 27) + (-3))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (- n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": -15, \"c\": -9, \"d\": 27, \"e\": -3}", "seed": "7381939850888253977", "semantic_fingerprint": "sha256:06cc9072221a1dc98325d1175ee033f5270afdaaa490a704e405bae24536364e", "generator_version": "3.0"}
{"id": "v3_test_id_00000137", "prompt": "What is 7 + 96 - (-37 - (-607))?", "solution_steps": ["Add: 7 + 96 = 103", "Subtract: -37 - (-607) = 570", "Subtract: 103 - 570 = -467"], "final_answer": "-467", "answer_type": "integer", "kind": "expression", "math_text": "7 + 96 - (-37 - (-607))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 96, \"c\": -37, \"d\": -607}", "seed": "4283677452232583581", "semantic_fingerprint": "sha256:98fc5dbca9bc3eb5d42548998232b8cdf56e96df022b41e15e3d6dada88a4b87", "generator_version": "3.0"}
{"id": "v3_test_id_00000138", "prompt": "Calculate: 81 - (5 - 774 + (-779)) * 9", "solution_steps": ["Subtract: 5 - 774 = -769", "Add: -769 + (-779) = -1548", "Multiply: -1548 * 9 = -13932", "Subtract: 81 - (-13932) = 14013"], "final_answer": "14013", "answer_type": "integer", "kind": "expression", "math_text": "81 - (5 - 774 + (-779)) * 9", "variable": null, "family": "expression_4op", "shape": "(- n (* (+ (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": 5, \"c\": 774, \"d\": -779, \"e\": 9}", "seed": "16042898699283118647", "semantic_fingerprint": "sha256:355fa9b3c76df216000fe94d182beb73661a22919749528b168b31eff20893a9", "generator_version": "3.0"}
{"id": "v3_test_id_00000139", "prompt": "Evaluate: -66 - (-89) - (818 + 45)", "solution_steps": ["Subtract: -66 - (-89) = 23", "Add: 818 + 45 = 863", "Subtract: 23 - 863 = -840"], "final_answer": "-840", "answer_type": "integer", "kind": "expression", "math_text": "-66 - (-89) - (818 + 45)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": -89, \"c\": 818, \"d\": 45}", "seed": "11628709317705046105", "semantic_fingerprint": "sha256:d5a19431ff80219b57028a25af435c71296a9b762a7ef5296e69c286537683e1", "generator_version": "3.0"}
{"id": "v3_test_id_00000140", "prompt": "Evaluate: 897 / (-4 / (-63))", "solution_steps": ["Divide: -4 / (-63) = 4/63", "Divide: 897 / (4/63) = 56511/4"], "final_answer": "56511/4", "answer_type": "rational", "kind": "expression", "math_text": "897 / (-4 / (-63))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 897, \"b\": -4, \"c\": -63}", "seed": "713116242894243075", "semantic_fingerprint": "sha256:700b3bf577a85f439baa5fd635ef3892843a8cd33b84146d5fbac1819b3ca2a6", "generator_version": "3.0"}
{"id": "v3_test_id_00000141", "prompt": "What value of x satisfies -3x + 71 = 4(x + 14) - 69?", "solution_steps": ["Expand: -3x + 71 = 4x + 56 - 69", "Combine constants: -3x + 71 = 4x - 13", "Subtract 4x from both sides: -7x + 71 = -13", "Subtract 71 from both sides: -7x = -84", "Divide both sides by -7: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x + 71 = 4(x + 14) - 69", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 71, \"c\": 4, \"d\": 14, \"f\": -69, \"x\": 12}", "seed": "3794090086719471949", "semantic_fingerprint": "sha256:fe9cd2244c1d0326d09ae7b309fa1b3abf97112817816685f55f5966b38f1314", "generator_version": "3.0"}
{"id": "v3_test_id_00000142", "prompt": "What value of x satisfies -6x = 8(x - 64) + 456?", "solution_steps": ["Expand: -6x = 8x - 512 + 456", "Combine constants: -6x = 8x - 56", "Subtract 8x from 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 - 64) + 456", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 8, \"c\": 64, \"e\": 456, \"x\": 4}", "seed": "10569984377073453581", "semantic_fingerprint": "sha256:2a34bab6e04806d346997eab82cb1f2d3c329106524b4da297264a8ae91945a6", "generator_version": "3.0"}
{"id": "v3_test_id_00000143", "prompt": "Find x: -6(x - 67) + 15 = 9(x - 2) + 630", "solution_steps": ["Expand: -6x + 402 + 15 = 9(x - 2) + 630", "Expand: -6x + 402 + 15 = 9x - 18 + 630", "Combine constants: -6x + 417 = 9x - 18 + 630", "Combine constants: -6x + 417 = 9x + 612", "Subtract 9x from both sides: -15x + 417 = 612", "Subtract 417 from both sides: -15x = 195", "Divide both sides by -15: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 67) + 15 = 9(x - 2) + 630", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 67, \"c\": 15, \"d\": 9, \"e\": 2, \"g\": 630, \"x\": -13}", "seed": "14044708153191337758", "semantic_fingerprint": "sha256:0ff23556e39ec9f87f3c38b56cf95cfddccf25375c95cfc61bf95f61add54a77", "generator_version": "3.0"}
{"id": "v3_test_id_00000144", "prompt": "What value of x satisfies -10(x + 6) = 2(x - 1)?", "solution_steps": ["Expand: -10x - 60 = 2(x - 1)", "Expand: -10x - 60 = 2x - 2", "Subtract 2x from both sides: -12x - 60 = -2", "Add 60 to both sides: -12x = 58", "Divide both sides by -12: x = -29/6"], "final_answer": "-29/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x + 6) = 2(x - 1)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 6, \"c\": 2, \"d\": 1}", "seed": "17598903495779752369", "semantic_fingerprint": "sha256:d1358c8c807f954434992972b3c4af1379c17f17bbf488ec1154c0b874da40a0", "generator_version": "3.0"}
{"id": "v3_test_id_00000145", "prompt": "Compute: -82 * 4 / (-88 + (-2) - 73 / 97)", "solution_steps": ["Multiply: -82 * 4 = -328", "Add: -88 + (-2) = -90", "Divide: 73 / 97 = 73/97", "Subtract: -90 - 73/97 = -8803/97", "Divide: -328 / (-8803/97) = 31816/8803"], "final_answer": "31816/8803", "answer_type": "rational", "kind": "expression", "math_text": "-82 * 4 / (-88 + (-2) - 73 / 97)", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (- (+ n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -82, \"b\": 4, \"c\": -88, \"d\": -2, \"e\": 73, \"f\": 97}", "seed": "11243219027449518946", "semantic_fingerprint": "sha256:2f4e6169963c5e96188c179282c77c70999813192ce0e0a05772fe4dd6f7a3a5", "generator_version": "3.0"}
{"id": "v3_test_id_00000146", "prompt": "Solve for x: 12(x + 277) = -12(x + 62) - 663", "solution_steps": ["Expand: 12x + 3324 = -12(x + 62) - 663", "Expand: 12x + 3324 = -12x - 744 - 663", "Combine constants: 12x + 3324 = -12x - 1407", "Add 12x to both sides: 24x + 3324 = -1407", "Subtract 3324 from both sides: 24x = -4731", "Divide both sides by 24: x = -1577/8"], "final_answer": "-1577/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 277) = -12(x + 62) - 663", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 277, \"c\": -12, \"d\": 62, \"e\": 663}", "seed": "16288925002336340849", "semantic_fingerprint": "sha256:0957ec41d7e0f1a2b9cdfaeca0b6eade9bb514225f2729db5f4e2e39cba67455", "generator_version": "3.0"}
{"id": "v3_test_id_00000147", "prompt": "Compute: -357 + (-7) + (9 - (-300))", "solution_steps": ["Add: -357 + (-7) = -364", "Subtract: 9 - (-300) = 309", "Add: -364 + 309 = -55"], "final_answer": "-55", "answer_type": "integer", "kind": "expression", "math_text": "-357 + (-7) + (9 - (-300))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -357, \"b\": -7, \"c\": 9, \"d\": -300}", "seed": "12108236637403338621", "semantic_fingerprint": "sha256:8934a7c246cc95e846fe9292ae4a92644069b13120b770d16bcf0c50d9752203", "generator_version": "3.0"}
{"id": "v3_test_id_00000148", "prompt": "What is -10 + 737 + (-751) + 4 / (-70)?", "solution_steps": ["Add: -10 + 737 = 727", "Add: 727 + (-751) = -24", "Divide: 4 / (-70) = -2/35", "Add: -24 + (-2/35) = -842/35"], "final_answer": "-842/35", "answer_type": "rational", "kind": "expression", "math_text": "-10 + 737 + (-751) + 4 / (-70)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 737, \"c\": -751, \"d\": 4, \"e\": -70}", "seed": "4650976569853746582", "semantic_fingerprint": "sha256:34f4f705797520bdb2bf9e4dd3f60cd67631b6f873f5989db96f6db1a393dc41", "generator_version": "3.0"}
{"id": "v3_test_id_00000149", "prompt": "Evaluate: -936 + 1", "solution_steps": ["Add: -936 + 1 = -935"], "final_answer": "-935", "answer_type": "integer", "kind": "expression", "math_text": "-936 + 1", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -936, \"b\": 1}", "seed": "12306414767770219737", "semantic_fingerprint": "sha256:3cda069140f28797af5843061102f6d224801a1723b11360d29bd22b6849c133", "generator_version": "3.0"}
{"id": "v3_test_id_00000150", "prompt": "Calculate: 18 / 5 * 456 * (0 + (-6)) + (-70)", "solution_steps": ["Divide: 18 / 5 = 18/5", "Multiply: (18/5) * 456 = 8208/5", "Add: 0 + (-6) = -6", "Multiply: (8208/5) * (-6) = -49248/5", "Add: -49248/5 + (-70) = -49598/5"], "final_answer": "-49598/5", "answer_type": "rational", "kind": "expression", "math_text": "18 / 5 * 456 * (0 + (-6)) + (-70)", "variable": null, "family": "expression_5op", "shape": "(+ (* (* (/ n n) n) (+ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": 5, \"c\": 456, \"d\": 0, \"e\": -6, \"f\": -70}", "seed": "8625619970480840276", "semantic_fingerprint": "sha256:1c45f556516fccc3fc544c194865c8cffba3aedb4a5895d529a3508810ee5a9a", "generator_version": "3.0"}
{"id": "v3_test_id_00000151", "prompt": "What value of x satisfies x = -10(x + 33)?", "solution_steps": ["Expand: x = -10x - 330", "Add 10x to both sides: 11x = -330", "Divide both sides by 11: x = -30"], "final_answer": "-30", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -10(x + 33)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 33}", "seed": "10789769163609982942", "semantic_fingerprint": "sha256:88bc129431ec47ebe2777d6183898f8aaafdf4f6b6e16a9bf7f0a6893dbad950", "generator_version": "3.0"}
{"id": "v3_test_id_00000152", "prompt": "What is -2 / 199 + 1?", "solution_steps": ["Divide: -2 / 199 = -2/199", "Add: -2/199 + 1 = 197/199"], "final_answer": "197/199", "answer_type": "rational", "kind": "expression", "math_text": "-2 / 199 + 1", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 199, \"c\": 1}", "seed": "7258503707421225190", "semantic_fingerprint": "sha256:c3c1de2b5ae141123abac325af5085e558f81c3470ad4187397cc55b437b97bb", "generator_version": "3.0"}
{"id": "v3_test_id_00000153", "prompt": "Compute: 6 * (-14)", "solution_steps": ["Multiply: 6 * (-14) = -84"], "final_answer": "-84", "answer_type": "integer", "kind": "expression", "math_text": "6 * (-14)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -14}", "seed": "17798537235967102247", "semantic_fingerprint": "sha256:4a6695e393b4e72045c9134d7bbfb83eb9f1f19ef3a6b78dc43e3f6a9927a84c", "generator_version": "3.0"}
{"id": "v3_test_id_00000154", "prompt": "Calculate: (-349 - (-5)) * (-559 + (-88))", "solution_steps": ["Subtract: -349 - (-5) = -344", "Add: -559 + (-88) = -647", "Multiply: -344 * (-647) = 222568"], "final_answer": "222568", "answer_type": "integer", "kind": "expression", "math_text": "(-349 - (-5)) * (-559 + (-88))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -349, \"b\": -5, \"c\": -559, \"d\": -88}", "seed": "11874187794661762709", "semantic_fingerprint": "sha256:5344ba407cc38d68432b3ca0e6f5591ede0c11d45aa77a043b5cc15ef6e1d513", "generator_version": "3.0"}
{"id": "v3_test_id_00000155", "prompt": "Evaluate: -67 - (-97) + (-37 - (-42))", "solution_steps": ["Subtract: -67 - (-97) = 30", "Subtract: -37 - (-42) = 5", "Add: 30 + 5 = 35"], "final_answer": "35", "answer_type": "integer", "kind": "expression", "math_text": "-67 - (-97) + (-37 - (-42))", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": -97, \"c\": -37, \"d\": -42}", "seed": "9346812196303937005", "semantic_fingerprint": "sha256:5ac6e88928d9141b13da8310d432747c5c75905f001add2fcdd313e388d03f94", "generator_version": "3.0"}
{"id": "v3_test_id_00000156", "prompt": "Solve for x: x - 718 = -2x", "solution_steps": ["Add 2x to both sides: 3x - 718 = 0", "Add 718 to both sides: 3x = 718", "Divide both sides by 3: x = 718/3"], "final_answer": "718/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 718 = -2x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 718, \"b\": -2}", "seed": "1777401317672596387", "semantic_fingerprint": "sha256:9928c8a38dc12018340f866f73aaf804f69ccb75df5919cb2a63c9072048d656", "generator_version": "3.0"}
{"id": "v3_test_id_00000157", "prompt": "Find x: 7(x + 41) + 71 = 9x + 328", "solution_steps": ["Expand: 7x + 287 + 71 = 9x + 328", "Combine constants: 7x + 358 = 9x + 328", "Subtract 9x from both sides: -2x + 358 = 328", "Subtract 358 from both sides: -2x = -30", "Divide both sides by -2: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 41) + 71 = 9x + 328", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 41, \"c\": 71, \"d\": 9, \"f\": 328, \"x\": 15}", "seed": "10296548477893147624", "semantic_fingerprint": "sha256:3cac130166ab63e55ba49c0ce6203ed36abc2f9f61e707581bbf8a84903635ae", "generator_version": "3.0"}
{"id": "v3_test_id_00000158", "prompt": "What is 8 / 189 * 9?", "solution_steps": ["Divide: 8 / 189 = 8/189", "Multiply: (8/189) * 9 = 8/21"], "final_answer": "8/21", "answer_type": "rational", "kind": "expression", "math_text": "8 / 189 * 9", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 189, \"c\": 9}", "seed": "14277635069352225216", "semantic_fingerprint": "sha256:4d31ce069fe8dce45b2b200a16cbb10514458cf74299d02baf954db5947bbc0b", "generator_version": "3.0"}
{"id": "v3_test_id_00000159", "prompt": "Solve for x: x - 3 = -8(x + 1) + 59", "solution_steps": ["Expand: x - 3 = -8x - 8 + 59", "Combine constants: x - 3 = -8x + 51", "Add 8x to both sides: 9x - 3 = 51", "Add 3 to both sides: 9x = 54", "Divide both sides by 9: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3 = -8(x + 1) + 59", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -8, \"c\": 1, \"d\": 59}", "seed": "3688229357816403836", "semantic_fingerprint": "sha256:5dd71336628a6c4daee025e176c4f1a2753f3a1355db937f5f16cd57a41bbea3", "generator_version": "3.0"}
{"id": "v3_test_id_00000160", "prompt": "What is -5 - 0 - (0 - 96)?", "solution_steps": ["Subtract: -5 - 0 = -5", "Subtract: 0 - 96 = -96", "Subtract: -5 - (-96) = 91"], "final_answer": "91", "answer_type": "integer", "kind": "expression", "math_text": "-5 - 0 - (0 - 96)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 0, \"c\": 0, \"d\": 96}", "seed": "12404157919723041791", "semantic_fingerprint": "sha256:f4951822b1dc0615484eebd9fffed7cd3df78d0ef91e2831af9e5e77f832b25c", "generator_version": "3.0"}
{"id": "v3_test_id_00000161", "prompt": "Solve the equation -11(x + 4) + 2 = 12(x + 3) for x.", "solution_steps": ["Expand: -11x - 44 + 2 = 12(x + 3)", "Expand: -11x - 44 + 2 = 12x + 36", "Combine constants: -11x - 42 = 12x + 36", "Subtract 12x from both sides: -23x - 42 = 36", "Add 42 to both sides: -23x = 78", "Divide both sides by -23: x = -78/23"], "final_answer": "-78/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x + 4) + 2 = 12(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\": 4, \"c\": 2, \"d\": 12, \"e\": 3}", "seed": "17840963553543801887", "semantic_fingerprint": "sha256:4e0ee0ed3ac00e130080cf4049056361c6ab7002aced8b433efd8961d460bf5f", "generator_version": "3.0"}
{"id": "v3_test_id_00000162", "prompt": "Evaluate: 6 - (-644) + 681 + 442", "solution_steps": ["Subtract: 6 - (-644) = 650", "Add: 650 + 681 = 1331", "Add: 1331 + 442 = 1773"], "final_answer": "1773", "answer_type": "integer", "kind": "expression", "math_text": "6 - (-644) + 681 + 442", "variable": null, "family": "expression_3op", "shape": "(+ (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -644, \"c\": 681, \"d\": 442}", "seed": "6165500832257667643", "semantic_fingerprint": "sha256:eac9fe0ec396773e679b78c926ad75f86e25782aa8ba4ea78ff4bd0e42d4fb28", "generator_version": "3.0"}
{"id": "v3_test_id_00000163", "prompt": "Find x: 2(x + 84) - 93 = 9(x - 6) + 59", "solution_steps": ["Expand: 2x + 168 - 93 = 9(x - 6) + 59", "Expand: 2x + 168 - 93 = 9x - 54 + 59", "Combine constants: 2x + 75 = 9x - 54 + 59", "Combine constants: 2x + 75 = 9x + 5", "Subtract 9x from both sides: -7x + 75 = 5", "Subtract 75 from both sides: -7x = -70", "Divide both sides by -7: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 84) - 93 = 9(x - 6) + 59", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 84, \"c\": 93, \"d\": 9, \"e\": 6, \"g\": 59, \"x\": 10}", "seed": "6791345520066397876", "semantic_fingerprint": "sha256:6291cfb71723e85ba4365a555dfaf9fdb788bd077b22e5d0cfb932edff4d961c", "generator_version": "3.0"}
{"id": "v3_test_id_00000164", "prompt": "Compute: 65 * (-81 * 0 + (-17))", "solution_steps": ["Multiply: -81 * 0 = 0", "Add: 0 + (-17) = -17", "Multiply: 65 * (-17) = -1105"], "final_answer": "-1105", "answer_type": "integer", "kind": "expression", "math_text": "65 * (-81 * 0 + (-17))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -81, \"c\": 0, \"d\": -17}", "seed": "12867001204450423034", "semantic_fingerprint": "sha256:128667ac0eefa78a03fd47dd9f2eecd7f1d38869369ccebfe318275f290d02f4", "generator_version": "3.0"}
{"id": "v3_test_id_00000165", "prompt": "Solve for x: 11(x + 2) - 45 = 9(x - 5) + 8", "solution_steps": ["Expand: 11x + 22 - 45 = 9(x - 5) + 8", "Expand: 11x + 22 - 45 = 9x - 45 + 8", "Combine constants: 11x - 23 = 9x - 45 + 8", "Combine constants: 11x - 23 = 9x - 37", "Subtract 9x from both sides: 2x - 23 = -37", "Add 23 to both sides: 2x = -14", "Divide both sides by 2: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 2) - 45 = 9(x - 5) + 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 2, \"c\": 45, \"d\": 9, \"e\": 5, \"f\": 8}", "seed": "5514023386285788249", "semantic_fingerprint": "sha256:c27738c0b1dce918296697da4798bd06cb3fe36282440546ab214402e27d0bf0", "generator_version": "3.0"}
{"id": "v3_test_id_00000166", "prompt": "Compute: -64 - (263 + (963 + (-1)))", "solution_steps": ["Add: 963 + (-1) = 962", "Add: 263 + 962 = 1225", "Subtract: -64 - 1225 = -1289"], "final_answer": "-1289", "answer_type": "integer", "kind": "expression", "math_text": "-64 - (263 + (963 + (-1)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": 263, \"c\": 963, \"d\": -1}", "seed": "3895498475432510147", "semantic_fingerprint": "sha256:cb3275f4832c63d8390d0d03a3188d2815f94890d0647158f4571ae7978e149e", "generator_version": "3.0"}
{"id": "v3_test_id_00000167", "prompt": "Compute: 560 / (-236)", "solution_steps": ["Divide: 560 / (-236) = -140/59"], "final_answer": "-140/59", "answer_type": "rational", "kind": "expression", "math_text": "560 / (-236)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 560, \"b\": -236}", "seed": "3427328706071235829", "semantic_fingerprint": "sha256:d69f1567dbe1ae9df641c5595ba5aa8272ccaa46062655a277ada2ec4289c7f8", "generator_version": "3.0"}
{"id": "v3_test_id_00000168", "prompt": "Compute: -182 - (-97 - 57) - 6 * 7", "solution_steps": ["Subtract: -97 - 57 = -154", "Subtract: -182 - (-154) = -28", "Multiply: 6 * 7 = 42", "Subtract: -28 - 42 = -70"], "final_answer": "-70", "answer_type": "integer", "kind": "expression", "math_text": "-182 - (-97 - 57) - 6 * 7", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -182, \"b\": -97, \"c\": 57, \"d\": 6, \"e\": 7}", "seed": "10060541861128607220", "semantic_fingerprint": "sha256:2f496a5f2583e157c10b2c270ea6c2cb7a7a35bfe8d492be7f2ea66e080dec4b", "generator_version": "3.0"}
{"id": "v3_test_id_00000169", "prompt": "Solve the equation -4(x - 9) = -9(x + 810) for x.", "solution_steps": ["Expand: -4x + 36 = -9(x + 810)", "Expand: -4x + 36 = -9x - 7290", "Add 9x to both sides: 5x + 36 = -7290", "Subtract 36 from both sides: 5x = -7326", "Divide both sides by 5: x = -7326/5"], "final_answer": "-7326/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x - 9) = -9(x + 810)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 9, \"c\": -9, \"d\": 810}", "seed": "12156101578559460378", "semantic_fingerprint": "sha256:55e83cba600436335cc412ebe13abf93f154d3137a683b8eee4aeb6754168ebd", "generator_version": "3.0"}
{"id": "v3_test_id_00000170", "prompt": "Calculate: 2 / 543 + (-35)", "solution_steps": ["Divide: 2 / 543 = 2/543", "Add: 2/543 + (-35) = -19003/543"], "final_answer": "-19003/543", "answer_type": "rational", "kind": "expression", "math_text": "2 / 543 + (-35)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 543, \"c\": -35}", "seed": "15934917407719334711", "semantic_fingerprint": "sha256:95924cf44d45ac1320936d42fd0f96c7da7781035e315e043abb2e247aa49885", "generator_version": "3.0"}
{"id": "v3_test_id_00000171", "prompt": "Compute: 71 / (-71) / 14", "solution_steps": ["Divide: 71 / (-71) = -1", "Divide: -1 / 14 = -1/14"], "final_answer": "-1/14", "answer_type": "rational", "kind": "expression", "math_text": "71 / (-71) / 14", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": -71, \"c\": 14}", "seed": "4126581567610498313", "semantic_fingerprint": "sha256:303fbdb9dc1a337e3fbeb1803ea591c5e8c944488b4a2bc3a460c1816fbcd51c", "generator_version": "3.0"}
{"id": "v3_test_id_00000172", "prompt": "What is 45 * (36 - 7)?", "solution_steps": ["Subtract: 36 - 7 = 29", "Multiply: 45 * 29 = 1305"], "final_answer": "1305", "answer_type": "integer", "kind": "expression", "math_text": "45 * (36 - 7)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": 36, \"c\": 7}", "seed": "5363802321532140149", "semantic_fingerprint": "sha256:d17af02498e54393fe050831af403945bf9d7768f9482352fab3b22447a94ace", "generator_version": "3.0"}
{"id": "v3_test_id_00000173", "prompt": "Solve for x: 3x - 56 = 4(x - 15) + 824", "solution_steps": ["Expand: 3x - 56 = 4x - 60 + 824", "Combine constants: 3x - 56 = 4x + 764", "Subtract 4x from both sides: -x - 56 = 764", "Add 56 to both sides: -x = 820", "Divide both sides by -1: x = -820"], "final_answer": "-820", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 56 = 4(x - 15) + 824", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 56, \"c\": 4, \"d\": 15, \"e\": 824}", "seed": "841139445950329824", "semantic_fingerprint": "sha256:f18d929678197bc69c6da7f1d06b3b95a2eb31e66f5fd1ed039e1f36b1390546", "generator_version": "3.0"}
{"id": "v3_test_id_00000174", "prompt": "Evaluate: (-478 + 5) * (-6) + 5", "solution_steps": ["Add: -478 + 5 = -473", "Multiply: -473 * (-6) = 2838", "Add: 2838 + 5 = 2843"], "final_answer": "2843", "answer_type": "integer", "kind": "expression", "math_text": "(-478 + 5) * (-6) + 5", "variable": null, "family": "expression_3op", "shape": "(+ (* (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -478, \"b\": 5, \"c\": -6, \"d\": 5}", "seed": "8411421310731660000", "semantic_fingerprint": "sha256:d4a95a46710dc752b449c929502f2a566250e2c812e4bf3a25edc6b9b6483076", "generator_version": "3.0"}
{"id": "v3_test_id_00000175", "prompt": "Compute: 3 / 48", "solution_steps": ["Divide: 3 / 48 = 1/16"], "final_answer": "1/16", "answer_type": "rational", "kind": "expression", "math_text": "3 / 48", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 48}", "seed": "12418779576072125689", "semantic_fingerprint": "sha256:ee14ea4a3ec2fae98a3a4839e235ef874f6dd4d896b9bba1460848a9f8a4ec9a", "generator_version": "3.0"}
{"id": "v3_test_id_00000176", "prompt": "Solve for x: x = -12(x + 509)", "solution_steps": ["Expand: x = -12x - 6108", "Add 12x to both sides: 13x = -6108", "Divide both sides by 13: x = -6108/13"], "final_answer": "-6108/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -12(x + 509)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 509}", "seed": "17414350562039559492", "semantic_fingerprint": "sha256:63de3e20030d371fb36472f07e1639f2bf59a8ae2294d86379f07a9279b5486d", "generator_version": "3.0"}
{"id": "v3_test_id_00000177", "prompt": "What is 92 + (-47) / 6 * (-1)?", "solution_steps": ["Divide: -47 / 6 = -47/6", "Multiply: (-47/6) * (-1) = 47/6", "Add: 92 + 47/6 = 599/6"], "final_answer": "599/6", "answer_type": "rational", "kind": "expression", "math_text": "92 + (-47) / 6 * (-1)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": -47, \"c\": 6, \"d\": -1}", "seed": "3876077344047914555", "semantic_fingerprint": "sha256:585acaa7e0de4c05c9d472fadcc1fa4eed298af19d1695a43a5213f2814de6bc", "generator_version": "3.0"}
{"id": "v3_test_id_00000178", "prompt": "What value of x satisfies -3(x + 192) + 3 = 8(x - 21) - 614?", "solution_steps": ["Expand: -3x - 576 + 3 = 8(x - 21) - 614", "Expand: -3x - 576 + 3 = 8x - 168 - 614", "Combine constants: -3x - 573 = 8x - 168 - 614", "Combine constants: -3x - 573 = 8x - 782", "Subtract 8x from both sides: -11x - 573 = -782", "Add 573 to both sides: -11x = -209", "Divide both sides by -11: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 192) + 3 = 8(x - 21) - 614", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 192, \"c\": 3, \"d\": 8, \"e\": 21, \"g\": -614, \"x\": 19}", "seed": "15893168254934773668", "semantic_fingerprint": "sha256:6a89643641fe2f2902896d491bc0d509827615786e2747eea4b771ea2768dd7d", "generator_version": "3.0"}
{"id": "v3_test_id_00000179", "prompt": "What value of x satisfies x - 187 = 12x?", "solution_steps": ["Subtract 12x from both sides: -11x - 187 = 0", "Add 187 to both sides: -11x = 187", "Divide both sides by -11: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 187 = 12x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"c\": -187, \"x\": -17}", "seed": "14878438347349054884", "semantic_fingerprint": "sha256:dbbd166b9d92b9df5ec332df24e7d7e79dbd21c091f005299377ff26fc31b5d9", "generator_version": "3.0"}
{"id": "v3_test_id_00000180", "prompt": "Evaluate: (-314 - (-33)) * (9 + (-83))", "solution_steps": ["Subtract: -314 - (-33) = -281", "Add: 9 + (-83) = -74", "Multiply: -281 * (-74) = 20794"], "final_answer": "20794", "answer_type": "integer", "kind": "expression", "math_text": "(-314 - (-33)) * (9 + (-83))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -314, \"b\": -33, \"c\": 9, \"d\": -83}", "seed": "6258680160230310527", "semantic_fingerprint": "sha256:fad3d9b6ea4cc32d5f00129a3b5bc272fd060a103c0435175c5e5b25e23c887a", "generator_version": "3.0"}
{"id": "v3_test_id_00000181", "prompt": "Calculate: -44 / (8 * (741 - 840))", "solution_steps": ["Subtract: 741 - 840 = -99", "Multiply: 8 * (-99) = -792", "Divide: -44 / (-792) = 1/18"], "final_answer": "1/18", "answer_type": "rational", "kind": "expression", "math_text": "-44 / (8 * (741 - 840))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": 8, \"c\": 741, \"d\": 840}", "seed": "1218800077049657370", "semantic_fingerprint": "sha256:68c548d927901679f88420d4d15ecd0c9f651598e25a61e1e40ca0c232bd28e1", "generator_version": "3.0"}
{"id": "v3_test_id_00000182", "prompt": "Solve the equation -3(x - 53) = 9x for x.", "solution_steps": ["Expand: -3x + 159 = 9x", "Subtract 9x from both sides: -12x + 159 = 0", "Subtract 159 from both sides: -12x = -159", "Divide both sides by -12: x = 53/4"], "final_answer": "53/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 53) = 9x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 53, \"c\": 9}", "seed": "13524938639929466689", "semantic_fingerprint": "sha256:9efe5ff971be1becd56322491455b7026e8b5eb130da40b2bd98b79d8896c522", "generator_version": "3.0"}
{"id": "v3_test_id_00000183", "prompt": "Solve the equation x + 10 = 11x for x.", "solution_steps": ["Subtract 11x from both sides: -10x + 10 = 0", "Subtract 10 from both sides: -10x = -10", "Divide both sides by -10: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 10 = 11x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"c\": 10, \"x\": 1}", "seed": "17133076244838069214", "semantic_fingerprint": "sha256:4800711971e8c4d10b6c7c32d2117681bae9a57f4728c25ad2f030eba4128b5e", "generator_version": "3.0"}
{"id": "v3_test_id_00000184", "prompt": "What value of x satisfies x = -10x?", "solution_steps": ["Add 10x to both sides: 11x = 0", "Divide both sides by 11: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -10x", "variable": "x", "family": "linear_equation", "shape": "x=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -10}", "seed": "11518975874985136450", "semantic_fingerprint": "sha256:6f1ccbe0226680da529dac2a20bbc125446186e9f1f928f902a6393e8ad38e86", "generator_version": "3.0"}
{"id": "v3_test_id_00000185", "prompt": "Evaluate: 93 + (-2) / (-432) + (-41) + 56", "solution_steps": ["Divide: -2 / (-432) = 1/216", "Add: 93 + 1/216 = 20089/216", "Add: 20089/216 + (-41) = 11233/216", "Add: 11233/216 + 56 = 23329/216"], "final_answer": "23329/216", "answer_type": "rational", "kind": "expression", "math_text": "93 + (-2) / (-432) + (-41) + 56", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": -2, \"c\": -432, \"d\": -41, \"e\": 56}", "seed": "12149109445324598542", "semantic_fingerprint": "sha256:8ccc8024008466bbbca3c2e077ce01abef8fbcab1409a621285e322bdad6223a", "generator_version": "3.0"}
{"id": "v3_test_id_00000186", "prompt": "What is 7 / (-68) + 0 * (-556 / 661)?", "solution_steps": ["Divide: 7 / (-68) = -7/68", "Divide: -556 / 661 = -556/661", "Multiply: 0 * (-556/661) = 0", "Add: -7/68 + 0 = -7/68"], "final_answer": "-7/68", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-68) + 0 * (-556 / 661)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (* n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -68, \"c\": 0, \"d\": -556, \"e\": 661}", "seed": "15675841674322846089", "semantic_fingerprint": "sha256:0eab8f8552d97a9ac43385252bd612d107bfacec8d5172894da5c427cce3ddeb", "generator_version": "3.0"}
{"id": "v3_test_id_00000187", "prompt": "What is 225 - (-2) / 70?", "solution_steps": ["Divide: -2 / 70 = -1/35", "Subtract: 225 - (-1/35) = 7876/35"], "final_answer": "7876/35", "answer_type": "rational", "kind": "expression", "math_text": "225 - (-2) / 70", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 225, \"b\": -2, \"c\": 70}", "seed": "6629653927201793413", "semantic_fingerprint": "sha256:59ba55783f9da52b09dff7589bd7e682f78ed39111722b40a50369c93eee1dff", "generator_version": "3.0"}
{"id": "v3_test_id_00000188", "prompt": "Solve for x: -5(x + 9) + 617 = 2(x - 8) - 20", "solution_steps": ["Expand: -5x - 45 + 617 = 2(x - 8) - 20", "Expand: -5x - 45 + 617 = 2x - 16 - 20", "Combine constants: -5x + 572 = 2x - 16 - 20", "Combine constants: -5x + 572 = 2x - 36", "Subtract 2x from both sides: -7x + 572 = -36", "Subtract 572 from both sides: -7x = -608", "Divide both sides by -7: x = 608/7"], "final_answer": "608/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x + 9) + 617 = 2(x - 8) - 20", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 9, \"c\": 617, \"d\": 2, \"e\": 8, \"f\": 20}", "seed": "5470422893055312103", "semantic_fingerprint": "sha256:45a2e0c81a4c1f836cb74cc5b9e192b5101bf4327481db3699b8ce9e3bebdaf2", "generator_version": "3.0"}
{"id": "v3_test_id_00000189", "prompt": "Find x: 7x + 91 = 90", "solution_steps": ["Subtract 91 from both sides: 7x = -1", "Divide both sides by 7: x = -1/7"], "final_answer": "-1/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x + 91 = 90", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 91, \"c\": 90}", "seed": "12885511916294945826", "semantic_fingerprint": "sha256:d4d1c76d50939121c7273b9bc7e0a67d7dbfeace9aebccb5b2f967c96c18c434", "generator_version": "3.0"}
{"id": "v3_test_id_00000190", "prompt": "What value of x satisfies 6x - 679 = 5(x + 3) - 686?", "solution_steps": ["Expand: 6x - 679 = 5x + 15 - 686", "Combine constants: 6x - 679 = 5x - 671", "Subtract 5x from both sides: x - 679 = -671", "Add 679 to both sides: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 679 = 5(x + 3) - 686", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 679, \"c\": 5, \"d\": 3, \"f\": -686, \"x\": 8}", "seed": "17127398147069463195", "semantic_fingerprint": "sha256:58b6fab896d7e17732ea15bf50249c34fd1111a0744be86e4a047190a0c697c0", "generator_version": "3.0"}
{"id": "v3_test_id_00000191", "prompt": "Calculate: -889 + (-53) * 71", "solution_steps": ["Multiply: -53 * 71 = -3763", "Add: -889 + (-3763) = -4652"], "final_answer": "-4652", "answer_type": "integer", "kind": "expression", "math_text": "-889 + (-53) * 71", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -889, \"b\": -53, \"c\": 71}", "seed": "7645490007297425016", "semantic_fingerprint": "sha256:780b25a8c58913e248c4749579361cf4734976167aa4ccf5e31e1751c6a18401", "generator_version": "3.0"}
{"id": "v3_test_id_00000192", "prompt": "Find x: 3(x - 61) = -192", "solution_steps": ["Expand: 3x - 183 = -192", "Add 183 to both sides: 3x = -9", "Divide both sides by 3: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 61) = -192", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 61, \"d\": -192, \"x\": -3}", "seed": "6651465382648996474", "semantic_fingerprint": "sha256:0192a7248c842047dbf5c633e434003ec7f4100156ba806159614d9908ed1f44", "generator_version": "3.0"}
{"id": "v3_test_id_00000193", "prompt": "Compute: -302 / ((-10 - (-9)) * (-864 + (-71)))", "solution_steps": ["Subtract: -10 - (-9) = -1", "Add: -864 + (-71) = -935", "Multiply: -1 * (-935) = 935", "Divide: -302 / 935 = -302/935"], "final_answer": "-302/935", "answer_type": "rational", "kind": "expression", "math_text": "-302 / ((-10 - (-9)) * (-864 + (-71)))", "variable": null, "family": "expression_4op", "shape": "(/ n (* (- n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -302, \"b\": -10, \"c\": -9, \"d\": -864, \"e\": -71}", "seed": "721778963074105594", "semantic_fingerprint": "sha256:9408ac10966b37cdb1d9eed2c287bb4ac5b8c5963cda3485bfb532bde6ba146f", "generator_version": "3.0"}
{"id": "v3_test_id_00000194", "prompt": "Evaluate: 7 / (-47 * (-1) / (-60 - 6))", "solution_steps": ["Multiply: -47 * (-1) = 47", "Subtract: -60 - 6 = -66", "Divide: 47 / (-66) = -47/66", "Divide: 7 / (-47/66) = -462/47"], "final_answer": "-462/47", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-47 * (-1) / (-60 - 6))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (* n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -47, \"c\": -1, \"d\": -60, \"e\": 6}", "seed": "2634292669886009726", "semantic_fingerprint": "sha256:b606738c6dac459779f6369e1e3d7d27550c7e8f9e908173fc478b4e625ac798", "generator_version": "3.0"}
{"id": "v3_test_id_00000195", "prompt": "What value of x satisfies -6x - 9 = -12(x - 134) + 4?", "solution_steps": ["Expand: -6x - 9 = -12x + 1608 + 4", "Combine constants: -6x - 9 = -12x + 1612", "Add 12x to both sides: 6x - 9 = 1612", "Add 9 to both sides: 6x = 1621", "Divide both sides by 6: x = 1621/6"], "final_answer": "1621/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6x - 9 = -12(x - 134) + 4", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 9, \"c\": -12, \"d\": 134, \"e\": 4}", "seed": "14236490830043299219", "semantic_fingerprint": "sha256:bae7e4ae5ef47016f1aebe5486f3676acf08f7b69441831d341d9eb326c86fb9", "generator_version": "3.0"}
{"id": "v3_test_id_00000196", "prompt": "What value of x satisfies -9x = 3(x + 810)?", "solution_steps": ["Expand: -9x = 3x + 2430", "Subtract 3x from both sides: -12x = 2430", "Divide both sides by -12: x = -405/2"], "final_answer": "-405/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9x = 3(x + 810)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 3, \"c\": 810}", "seed": "8346260568478595586", "semantic_fingerprint": "sha256:eb8c63fcaab4dbe66a916ca7e352e69464882cff5f3fc4f0d5632c4c14ccbd49", "generator_version": "3.0"}
{"id": "v3_test_id_00000197", "prompt": "What value of x satisfies 2(x + 9) + 216 = -10(x - 81) - 408?", "solution_steps": ["Expand: 2x + 18 + 216 = -10(x - 81) - 408", "Expand: 2x + 18 + 216 = -10x + 810 - 408", "Combine constants: 2x + 234 = -10x + 810 - 408", "Combine constants: 2x + 234 = -10x + 402", "Add 10x to both sides: 12x + 234 = 402", "Subtract 234 from both sides: 12x = 168", "Divide both sides by 12: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 9) + 216 = -10(x - 81) - 408", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 216, \"d\": -10, \"e\": 81, \"g\": -408, \"x\": 14}", "seed": "9930150412701093770", "semantic_fingerprint": "sha256:6ab18a2270e1d10579c8302d6561e27f027eb59fb185e34848a5ca536983a8b9", "generator_version": "3.0"}
{"id": "v3_test_id_00000198", "prompt": "Find x: 2(x - 9) - 5 = x - 34", "solution_steps": ["Expand: 2x - 18 - 5 = x - 34", "Combine constants: 2x - 23 = x - 34", "Subtract x from both sides: x - 23 = -34", "Add 23 to both sides: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 9) - 5 = x - 34", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 5, \"e\": -34, \"x\": -11}", "seed": "11047936160029905397", "semantic_fingerprint": "sha256:47db8c9cd4fced081a22253d3da7b781a3f648d8b4a03e2eb588764055ef9c6b", "generator_version": "3.0"}
{"id": "v3_test_id_00000199", "prompt": "What is 13 - (-21) - (-15) * (-49) + (-643 + (-26))?", "solution_steps": ["Subtract: 13 - (-21) = 34", "Multiply: -15 * (-49) = 735", "Subtract: 34 - 735 = -701", "Add: -643 + (-26) = -669", "Add: -701 + (-669) = -1370"], "final_answer": "-1370", "answer_type": "integer", "kind": "expression", "math_text": "13 - (-21) - (-15) * (-49) + (-643 + (-26))", "variable": null, "family": "expression_5op", "shape": "(+ (- (- n n) (* n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": -21, \"c\": -15, \"d\": -49, \"e\": -643, \"f\": -26}", "seed": "6713343046665517773", "semantic_fingerprint": "sha256:4ef6cb6d4d188af205b8ab4b7285b4404f86e4b0fe4190245e524bd2bde2107d", "generator_version": "3.0"}
{"id": "v3_test_id_00000200", "prompt": "Find x: 8x + 46 = x - 38", "solution_steps": ["Subtract x from both sides: 7x + 46 = -38", "Subtract 46 from both sides: 7x = -84", "Divide both sides by 7: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x + 46 = x - 38", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 46, \"d\": -38, \"x\": -12}", "seed": "723778214557380540", "semantic_fingerprint": "sha256:2c273d45ee9b62b3a1214205a74ff364873e6ae3cfadb35b4c86457b08d779f1", "generator_version": "3.0"}
{"id": "v3_test_id_00000201", "prompt": "What value of x satisfies -11(x + 3) - 81 = 11(x - 11) + 271?", "solution_steps": ["Expand: -11x - 33 - 81 = 11(x - 11) + 271", "Expand: -11x - 33 - 81 = 11x - 121 + 271", "Combine constants: -11x - 114 = 11x - 121 + 271", "Combine constants: -11x - 114 = 11x + 150", "Subtract 11x from both sides: -22x - 114 = 150", "Add 114 to both sides: -22x = 264", "Divide both sides by -22: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 3) - 81 = 11(x - 11) + 271", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 3, \"c\": 81, \"d\": 11, \"e\": 11, \"g\": 271, \"x\": -12}", "seed": "16572171469724167094", "semantic_fingerprint": "sha256:04cd85eba2a1359ae3e599ac23174b7ced9b78064a2af92f39228d4265ea2933", "generator_version": "3.0"}
{"id": "v3_test_id_00000202", "prompt": "Compute: (-9 - 19 - (-685) / 1 + 364) / 311", "solution_steps": ["Subtract: -9 - 19 = -28", "Divide: -685 / 1 = -685", "Subtract: -28 - (-685) = 657", "Add: 657 + 364 = 1021", "Divide: 1021 / 311 = 1021/311"], "final_answer": "1021/311", "answer_type": "rational", "kind": "expression", "math_text": "(-9 - 19 - (-685) / 1 + 364) / 311", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- (- n n) (/ n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 19, \"c\": -685, \"d\": 1, \"e\": 364, \"f\": 311}", "seed": "359883431153514585", "semantic_fingerprint": "sha256:203b06b1f0cd26d1509b28309f419c91e03dc6530dbd2df5bb29dd9aac132b55", "generator_version": "3.0"}
{"id": "v3_test_id_00000203", "prompt": "Compute: -366 / (67 * (-63))", "solution_steps": ["Multiply: 67 * (-63) = -4221", "Divide: -366 / (-4221) = 122/1407"], "final_answer": "122/1407", "answer_type": "rational", "kind": "expression", "math_text": "-366 / (67 * (-63))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -366, \"b\": 67, \"c\": -63}", "seed": "1746503019545072258", "semantic_fingerprint": "sha256:43e75f390a5d183d905d3b2f2b0342f2675eea683ab011357db6bf7b421767ac", "generator_version": "3.0"}
{"id": "v3_test_id_00000204", "prompt": "Calculate: 80 * 80", "solution_steps": ["Multiply: 80 * 80 = 6400"], "final_answer": "6400", "answer_type": "integer", "kind": "expression", "math_text": "80 * 80", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": 80}", "seed": "13640535015989974239", "semantic_fingerprint": "sha256:b500663ace8ef1fd28f64c2ff9d3bf7372973baae04f06de51f1af3724e221a0", "generator_version": "3.0"}
{"id": "v3_test_id_00000205", "prompt": "What value of x satisfies 7x = x?", "solution_steps": ["Subtract x from both sides: 6x = 0", "Divide both sides by 6: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7}", "seed": "117597717437639573", "semantic_fingerprint": "sha256:056db41dc70aeb7cf90fb2cb8e90db7fef1b25ac623db83c8e850e55e4f0a49c", "generator_version": "3.0"}
{"id": "v3_test_id_00000206", "prompt": "Calculate: 99 / (-6) - (-87) / (-913)", "solution_steps": ["Divide: 99 / (-6) = -33/2", "Divide: -87 / (-913) = 87/913", "Subtract: -33/2 - 87/913 = -30303/1826"], "final_answer": "-30303/1826", "answer_type": "rational", "kind": "expression", "math_text": "99 / (-6) - (-87) / (-913)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": -6, \"c\": -87, \"d\": -913}", "seed": "9870309730417027325", "semantic_fingerprint": "sha256:5e9e65f19ff83860784dc44377f14f6defb8140bfc11ea73fcddb2055578179f", "generator_version": "3.0"}
{"id": "v3_test_id_00000207", "prompt": "Evaluate: -831 * (-2 - (-236))", "solution_steps": ["Subtract: -2 - (-236) = 234", "Multiply: -831 * 234 = -194454"], "final_answer": "-194454", "answer_type": "integer", "kind": "expression", "math_text": "-831 * (-2 - (-236))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -831, \"b\": -2, \"c\": -236}", "seed": "11570359253989135", "semantic_fingerprint": "sha256:295ac22caf6e485519f1ef2ac84ebcb3694f5e1b705bf53b1f4006af6a6c0bbd", "generator_version": "3.0"}
{"id": "v3_test_id_00000208", "prompt": "Solve for x: -12x = 3(x + 350)", "solution_steps": ["Expand: -12x = 3x + 1050", "Subtract 3x from both sides: -15x = 1050", "Divide both sides by -15: x = -70"], "final_answer": "-70", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x = 3(x + 350)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 3, \"c\": 350}", "seed": "13721064771192787163", "semantic_fingerprint": "sha256:fcbaf058a9d597bb67501595793e2261be8174121ffd8bb7c43baad1cdf3a250", "generator_version": "3.0"}
{"id": "v3_test_id_00000209", "prompt": "What is 658 / (-86 - 15) + 93 - (-16)?", "solution_steps": ["Subtract: -86 - 15 = -101", "Divide: 658 / (-101) = -658/101", "Add: -658/101 + 93 = 8735/101", "Subtract: 8735/101 - (-16) = 10351/101"], "final_answer": "10351/101", "answer_type": "rational", "kind": "expression", "math_text": "658 / (-86 - 15) + 93 - (-16)", "variable": null, "family": "expression_4op", "shape": "(- (+ (/ n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 658, \"b\": -86, \"c\": 15, \"d\": 93, \"e\": -16}", "seed": "11583857866872920435", "semantic_fingerprint": "sha256:776db6a48f6062bb9721aebc71a555ba7f2e532d0db4e1703be2edc5b0e1dd20", "generator_version": "3.0"}
{"id": "v3_test_id_00000210", "prompt": "Calculate: (308 - 99 + (-93)) * (0 + (6 + 368))", "solution_steps": ["Subtract: 308 - 99 = 209", "Add: 209 + (-93) = 116", "Add: 6 + 368 = 374", "Add: 0 + 374 = 374", "Multiply: 116 * 374 = 43384"], "final_answer": "43384", "answer_type": "integer", "kind": "expression", "math_text": "(308 - 99 + (-93)) * (0 + (6 + 368))", "variable": null, "family": "expression_5op", "shape": "(* (+ (- n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 308, \"b\": 99, \"c\": -93, \"d\": 0, \"e\": 6, \"f\": 368}", "seed": "5111922409146757975", "semantic_fingerprint": "sha256:6e080fbcdc7b76536c141a2b785ad9d397828f9da9d83585973795e4028c1338", "generator_version": "3.0"}
{"id": "v3_test_id_00000211", "prompt": "Solve the equation 4x = x for x.", "solution_steps": ["Subtract x from both sides: 3x = 0", "Divide both sides by 3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4}", "seed": "4394272452486410291", "semantic_fingerprint": "sha256:16cf01e9847ce38a9b132504c9a9b1b3f6db440eb202899948a5a83ddb158f6d", "generator_version": "3.0"}
{"id": "v3_test_id_00000212", "prompt": "Compute: -25 - 0 + (-94)", "solution_steps": ["Subtract: -25 - 0 = -25", "Add: -25 + (-94) = -119"], "final_answer": "-119", "answer_type": "integer", "kind": "expression", "math_text": "-25 - 0 + (-94)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": 0, \"c\": -94}", "seed": "2106841522495571321", "semantic_fingerprint": "sha256:4e2492b89abfa6c2ffd37ddc20cd2928bd7d01cd2ce21b24b69a229f51769e2c", "generator_version": "3.0"}
{"id": "v3_test_id_00000213", "prompt": "Compute: 71 + 280 / (485 * (-55 / 30) / 2)", "solution_steps": ["Divide: -55 / 30 = -11/6", "Multiply: 485 * (-11/6) = -5335/6", "Divide: (-5335/6) / 2 = -5335/12", "Divide: 280 / (-5335/12) = -672/1067", "Add: 71 + (-672/1067) = 75085/1067"], "final_answer": "75085/1067", "answer_type": "rational", "kind": "expression", "math_text": "71 + 280 / (485 * (-55 / 30) / 2)", "variable": null, "family": "expression_5op", "shape": "(+ n (/ n (/ (* n (/ n n)) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": 280, \"c\": 485, \"d\": -55, \"e\": 30, \"f\": 2}", "seed": "16955786319754535556", "semantic_fingerprint": "sha256:0fd6e1093faf7978fbd224602c3ad851a3b524da0b79da494fcf4d0be7ead2d2", "generator_version": "3.0"}
{"id": "v3_test_id_00000214", "prompt": "What is -8 * (-578) / (220 / 250)?", "solution_steps": ["Multiply: -8 * (-578) = 4624", "Divide: 220 / 250 = 22/25", "Divide: 4624 / (22/25) = 57800/11"], "final_answer": "57800/11", "answer_type": "rational", "kind": "expression", "math_text": "-8 * (-578) / (220 / 250)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -578, \"c\": 220, \"d\": 250}", "seed": "17050703173820254489", "semantic_fingerprint": "sha256:20d9c2e1b6b177690cb7cc8e9d8b4e23e399e830b02e6140d9f1cd6d04f21e2b", "generator_version": "3.0"}
{"id": "v3_test_id_00000215", "prompt": "Solve for x: x + 49 = 4x + 34", "solution_steps": ["Subtract 4x from both sides: -3x + 49 = 34", "Subtract 49 from both sides: -3x = -15", "Divide both sides by -3: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 49 = 4x + 34", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": 4, \"d\": 34, \"x\": 5}", "seed": "1143915043362543591", "semantic_fingerprint": "sha256:7f020200f5972b68839e232fefc1baef16c21e19232892a3258bf10f8ab69463", "generator_version": "3.0"}
{"id": "v3_test_id_00000216", "prompt": "Evaluate: 570 * 41 - (427 - (87 - (-100)))", "solution_steps": ["Multiply: 570 * 41 = 23370", "Subtract: 87 - (-100) = 187", "Subtract: 427 - 187 = 240", "Subtract: 23370 - 240 = 23130"], "final_answer": "23130", "answer_type": "integer", "kind": "expression", "math_text": "570 * 41 - (427 - (87 - (-100)))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 570, \"b\": 41, \"c\": 427, \"d\": 87, \"e\": -100}", "seed": "5942437106674402369", "semantic_fingerprint": "sha256:8a84234916dda1fa564adf440a9052166bfe1006cfccc1ab0fdf646e44f2d59e", "generator_version": "3.0"}
{"id": "v3_test_id_00000217", "prompt": "What value of x satisfies x - 812 = 2(x + 5) - 806?", "solution_steps": ["Expand: x - 812 = 2x + 10 - 806", "Combine constants: x - 812 = 2x - 796", "Subtract 2x from both sides: -x - 812 = -796", "Add 812 to both sides: -x = 16", "Divide both sides by -1: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 812 = 2(x + 5) - 806", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 812, \"b\": 2, \"c\": 5, \"e\": -806, \"x\": -16}", "seed": "2227752204765914253", "semantic_fingerprint": "sha256:924550c0faaea52024b6bc8cbacdaab037042d9899f8bba675bb83309263682d", "generator_version": "3.0"}
{"id": "v3_test_id_00000218", "prompt": "Evaluate: -224 / (93 * 5)", "solution_steps": ["Multiply: 93 * 5 = 465", "Divide: -224 / 465 = -224/465"], "final_answer": "-224/465", "answer_type": "rational", "kind": "expression", "math_text": "-224 / (93 * 5)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -224, \"b\": 93, \"c\": 5}", "seed": "16413425124112732163", "semantic_fingerprint": "sha256:c0afb83ca1fb818b5e3355e0f2eca82e31e6fa412abfa23836600d9aaf68c2e5", "generator_version": "3.0"}
{"id": "v3_test_id_00000219", "prompt": "What is 66 - (-30)?", "solution_steps": ["Subtract: 66 - (-30) = 96"], "final_answer": "96", "answer_type": "integer", "kind": "expression", "math_text": "66 - (-30)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -30}", "seed": "8974303338065904962", "semantic_fingerprint": "sha256:ab15e54f685413ef793663cb41ec2eb66b802ae4e39fca2b58b1eb9a9d9e7838", "generator_version": "3.0"}
{"id": "v3_test_id_00000220", "prompt": "Calculate: -22 * (-16)", "solution_steps": ["Multiply: -22 * (-16) = 352"], "final_answer": "352", "answer_type": "integer", "kind": "expression", "math_text": "-22 * (-16)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": -16}", "seed": "4714260324894486552", "semantic_fingerprint": "sha256:9ce488d5967fb08d72c3eb093a0291b1911ba5292fe02ebc923580c5df1c58e0", "generator_version": "3.0"}
{"id": "v3_test_id_00000221", "prompt": "Find x: 12(x - 90) = x - 882", "solution_steps": ["Expand: 12x - 1080 = x - 882", "Subtract x from both sides: 11x - 1080 = -882", "Add 1080 to both sides: 11x = 198", "Divide both sides by 11: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 90) = x - 882", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 90, \"d\": -882, \"x\": 18}", "seed": "18153956565369712820", "semantic_fingerprint": "sha256:aba803d18f374a018a3a39f665747a585850cfdbecd4d647d8750f15488a3223", "generator_version": "3.0"}
{"id": "v3_test_id_00000222", "prompt": "Find x: x = -10(x - 51) - 620", "solution_steps": ["Expand: x = -10x + 510 - 620", "Combine constants: x = -10x - 110", "Add 10x to both sides: 11x = -110", "Divide both sides by 11: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -10(x - 51) - 620", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 51, \"d\": -620, \"x\": -10}", "seed": "4218313412681050912", "semantic_fingerprint": "sha256:b0c6fb8a8db3b32879878fdb2661128642c0ecc735275e01b889d06e89bdcb89", "generator_version": "3.0"}
{"id": "v3_test_id_00000223", "prompt": "Evaluate: (-779 + (-506) - (-1)) / (-7 + 3)", "solution_steps": ["Add: -779 + (-506) = -1285", "Subtract: -1285 - (-1) = -1284", "Add: -7 + 3 = -4", "Divide: -1284 / (-4) = 321"], "final_answer": "321", "answer_type": "integer", "kind": "expression", "math_text": "(-779 + (-506) - (-1)) / (-7 + 3)", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -779, \"b\": -506, \"c\": -1, \"d\": -7, \"e\": 3}", "seed": "2080735354015208278", "semantic_fingerprint": "sha256:704f293395d77d23cd1c66edc21d2199939ec99c811edca8bd0b729c8f5aeb66", "generator_version": "3.0"}
{"id": "v3_test_id_00000224", "prompt": "What is 1 + (-5)?", "solution_steps": ["Add: 1 + (-5) = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "expression", "math_text": "1 + (-5)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -5}", "seed": "15060128641841537319", "semantic_fingerprint": "sha256:c46a2b4ee2db349ef7773b2d7808b828b3fa305d7b0806f817aac8c6ebf09f3b", "generator_version": "3.0"}
{"id": "v3_test_id_00000225", "prompt": "Find x: x + 40 = 3x", "solution_steps": ["Subtract 3x from both sides: -2x + 40 = 0", "Subtract 40 from both sides: -2x = -40", "Divide both sides by -2: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 40 = 3x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"c\": 40, \"x\": 20}", "seed": "13787777340437701456", "semantic_fingerprint": "sha256:ebf32c7cd3adc691b7f3b56770f480ddbc2887e9b075957e207d6a6b294f5e85", "generator_version": "3.0"}
{"id": "v3_test_id_00000226", "prompt": "Calculate: -89 + 806", "solution_steps": ["Add: -89 + 806 = 717"], "final_answer": "717", "answer_type": "integer", "kind": "expression", "math_text": "-89 + 806", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -89, \"b\": 806}", "seed": "16691970230904161133", "semantic_fingerprint": "sha256:1fc083f83ddf95209211ba99e783ca1e49ca5ffc836d6e1d131b379275132f90", "generator_version": "3.0"}
{"id": "v3_test_id_00000227", "prompt": "Calculate: -79 * 943 / (-130)", "solution_steps": ["Multiply: -79 * 943 = -74497", "Divide: -74497 / (-130) = 74497/130"], "final_answer": "74497/130", "answer_type": "rational", "kind": "expression", "math_text": "-79 * 943 / (-130)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": 943, \"c\": -130}", "seed": "6252714258986408134", "semantic_fingerprint": "sha256:6cee510a37e3378beb5d98708868c8c04c7492a86164db194d1fa46765737169", "generator_version": "3.0"}
{"id": "v3_test_id_00000228", "prompt": "Compute: -2 - (-43 - (-16))", "solution_steps": ["Subtract: -43 - (-16) = -27", "Subtract: -2 - (-27) = 25"], "final_answer": "25", "answer_type": "integer", "kind": "expression", "math_text": "-2 - (-43 - (-16))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -43, \"c\": -16}", "seed": "16495826405062857771", "semantic_fingerprint": "sha256:537c6de88685cfb57ac389e61b49bf45fd844ae8ef0514ca6e68e92ef7896bb8", "generator_version": "3.0"}
{"id": "v3_test_id_00000229", "prompt": "Evaluate: -8 - 922", "solution_steps": ["Subtract: -8 - 922 = -930"], "final_answer": "-930", "answer_type": "integer", "kind": "expression", "math_text": "-8 - 922", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 922}", "seed": "3742096504642057285", "semantic_fingerprint": "sha256:a0a2d4d8e1f5b4e8d6860c283cad92fe69169ee4892061aa281765067446099d", "generator_version": "3.0"}
{"id": "v3_test_id_00000230", "prompt": "What value of x satisfies 11x - 2 = 2(x - 4) + 177?", "solution_steps": ["Expand: 11x - 2 = 2x - 8 + 177", "Combine constants: 11x - 2 = 2x + 169", "Subtract 2x from both sides: 9x - 2 = 169", "Add 2 to both sides: 9x = 171", "Divide both sides by 9: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 2 = 2(x - 4) + 177", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 2, \"c\": 2, \"d\": 4, \"f\": 177, \"x\": 19}", "seed": "13366717428340107744", "semantic_fingerprint": "sha256:6b17b0d95a60ed057c4fe1df3d667b8b9f1f96e86ba2c1226b62e2deb25c7265", "generator_version": "3.0"}
{"id": "v3_test_id_00000231", "prompt": "What value of x satisfies 2(x + 87) + 637 = 8(x - 202) - 992?", "solution_steps": ["Expand: 2x + 174 + 637 = 8(x - 202) - 992", "Expand: 2x + 174 + 637 = 8x - 1616 - 992", "Combine constants: 2x + 811 = 8x - 1616 - 992", "Combine constants: 2x + 811 = 8x - 2608", "Subtract 8x from both sides: -6x + 811 = -2608", "Subtract 811 from both sides: -6x = -3419", "Divide both sides by -6: x = 3419/6"], "final_answer": "3419/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 87) + 637 = 8(x - 202) - 992", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 87, \"c\": 637, \"d\": 8, \"e\": 202, \"f\": 992}", "seed": "17784259953749958260", "semantic_fingerprint": "sha256:fd64c8252817d0c5ce8f8fba3585a65b1cace0a24fffe95776a6b45b48defceb", "generator_version": "3.0"}
{"id": "v3_test_id_00000232", "prompt": "Calculate: -65 + 5 * (-9 + 9)", "solution_steps": ["Add: -9 + 9 = 0", "Multiply: 5 * 0 = 0", "Add: -65 + 0 = -65"], "final_answer": "-65", "answer_type": "integer", "kind": "expression", "math_text": "-65 + 5 * (-9 + 9)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": 5, \"c\": -9, \"d\": 9}", "seed": "375621132676468036", "semantic_fingerprint": "sha256:d8ed7e644f4360bb7848b6a5fc4530efec90493cdc26b9cac3463e7ba83a9000", "generator_version": "3.0"}
{"id": "v3_test_id_00000233", "prompt": "Evaluate: 131 - 9", "solution_steps": ["Subtract: 131 - 9 = 122"], "final_answer": "122", "answer_type": "integer", "kind": "expression", "math_text": "131 - 9", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 131, \"b\": 9}", "seed": "3378625324339505069", "semantic_fingerprint": "sha256:05f4bd464a89199d711ba937eafd34beb5b0efd025477f0f0fb5d4aad2ca6175", "generator_version": "3.0"}
{"id": "v3_test_id_00000234", "prompt": "Find x: 3(x - 252) + 8 = x - 732", "solution_steps": ["Expand: 3x - 756 + 8 = x - 732", "Combine constants: 3x - 748 = x - 732", "Subtract x from both sides: 2x - 748 = -732", "Add 748 to both sides: 2x = 16", "Divide both sides by 2: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 252) + 8 = x - 732", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 252, \"c\": 8, \"e\": -732, \"x\": 8}", "seed": "4792654851010863895", "semantic_fingerprint": "sha256:c78f547c8e0a6041f7125a38085ce7027941fba2e0bb377f89e2eec6268e1910", "generator_version": "3.0"}
{"id": "v3_test_id_00000235", "prompt": "What is 202 / (6 + (-7))?", "solution_steps": ["Add: 6 + (-7) = -1", "Divide: 202 / (-1) = -202"], "final_answer": "-202", "answer_type": "integer", "kind": "expression", "math_text": "202 / (6 + (-7))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 202, \"b\": 6, \"c\": -7}", "seed": "14444588587740197677", "semantic_fingerprint": "sha256:84261564c93f5a9c426aaf0da5b7604362123d218ba0ee8806038deefa26d941", "generator_version": "3.0"}
{"id": "v3_test_id_00000236", "prompt": "Compute: -51 - 93 - (-97 - (-603))", "solution_steps": ["Subtract: -51 - 93 = -144", "Subtract: -97 - (-603) = 506", "Subtract: -144 - 506 = -650"], "final_answer": "-650", "answer_type": "integer", "kind": "expression", "math_text": "-51 - 93 - (-97 - (-603))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": 93, \"c\": -97, \"d\": -603}", "seed": "2680610869709422910", "semantic_fingerprint": "sha256:c9a9d433dbda6b976dbd715e63f9c5820c63a246064e1cdd78bb49a76101ed87", "generator_version": "3.0"}
{"id": "v3_test_id_00000237", "prompt": "Calculate: 89 - (1 + 598 * (-500) / (-824))", "solution_steps": ["Multiply: 598 * (-500) = -299000", "Divide: -299000 / (-824) = 37375/103", "Add: 1 + 37375/103 = 37478/103", "Subtract: 89 - 37478/103 = -28311/103"], "final_answer": "-28311/103", "answer_type": "rational", "kind": "expression", "math_text": "89 - (1 + 598 * (-500) / (-824))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (/ (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": 1, \"c\": 598, \"d\": -500, \"e\": -824}", "seed": "4221006377853892751", "semantic_fingerprint": "sha256:4ca05392d5682a44d94227d40a5151e09981b2b8a3d4c9f9ac5def3fdfbcf3a6", "generator_version": "3.0"}
{"id": "v3_test_id_00000238", "prompt": "What is 377 + (6 + 2)?", "solution_steps": ["Add: 6 + 2 = 8", "Add: 377 + 8 = 385"], "final_answer": "385", "answer_type": "integer", "kind": "expression", "math_text": "377 + (6 + 2)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 377, \"b\": 6, \"c\": 2}", "seed": "10352285155218787360", "semantic_fingerprint": "sha256:d520aadf15e0296a2e3225a00e8d2cc2eeaf03e88ccd8bab2a334e4d1dd83684", "generator_version": "3.0"}
{"id": "v3_test_id_00000239", "prompt": "Calculate: 84 / (-561) + (-69 - (-6))", "solution_steps": ["Divide: 84 / (-561) = -28/187", "Subtract: -69 - (-6) = -63", "Add: -28/187 + (-63) = -11809/187"], "final_answer": "-11809/187", "answer_type": "rational", "kind": "expression", "math_text": "84 / (-561) + (-69 - (-6))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": -561, \"c\": -69, \"d\": -6}", "seed": "18446218798834390482", "semantic_fingerprint": "sha256:21b11a2c0f08c5370af8ded6afe5d991d40038a877a4e273c8c0590a8e1b0372", "generator_version": "3.0"}
{"id": "v3_test_id_00000240", "prompt": "What is 85 * 915 / (3 - (-7) + 82)?", "solution_steps": ["Multiply: 85 * 915 = 77775", "Subtract: 3 - (-7) = 10", "Add: 10 + 82 = 92", "Divide: 77775 / 92 = 77775/92"], "final_answer": "77775/92", "answer_type": "rational", "kind": "expression", "math_text": "85 * 915 / (3 - (-7) + 82)", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": 915, \"c\": 3, \"d\": -7, \"e\": 82}", "seed": "15132550506925160351", "semantic_fingerprint": "sha256:37e54c04f74a9314730910d16780f7018ebfdce006d55977f66724ec77549f08", "generator_version": "3.0"}
{"id": "v3_test_id_00000241", "prompt": "Compute: -687 + (-6)", "solution_steps": ["Add: -687 + (-6) = -693"], "final_answer": "-693", "answer_type": "integer", "kind": "expression", "math_text": "-687 + (-6)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -687, \"b\": -6}", "seed": "3127713698297323059", "semantic_fingerprint": "sha256:277bdb10029c3be6f01c162ba515b207a793db4317bc32005f134c76f3b3cc93", "generator_version": "3.0"}
{"id": "v3_test_id_00000242", "prompt": "What value of x satisfies -11x = 7(x - 9) + 189?", "solution_steps": ["Expand: -11x = 7x - 63 + 189", "Combine constants: -11x = 7x + 126", "Subtract 7x from both sides: -18x = 126", "Divide both sides by -18: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x = 7(x - 9) + 189", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 7, \"c\": 9, \"e\": 189, \"x\": -7}", "seed": "4222756320602098802", "semantic_fingerprint": "sha256:3417662e2e73f810f0ccb3f7f587f25c2de948ed7a7b0db0a4bb270fb6ce47a4", "generator_version": "3.0"}
{"id": "v3_test_id_00000243", "prompt": "What is 80 / (-4)?", "solution_steps": ["Divide: 80 / (-4) = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "expression", "math_text": "80 / (-4)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": -4}", "seed": "8880187526025429372", "semantic_fingerprint": "sha256:a2c3bfbdfbbb7f226c740b01749057a7faaec84d0ab98cd11651cec1b668154f", "generator_version": "3.0"}
{"id": "v3_test_id_00000244", "prompt": "Solve the equation 8(x + 47) + 5 = 11(x - 19) + 593 for x.", "solution_steps": ["Expand: 8x + 376 + 5 = 11(x - 19) + 593", "Expand: 8x + 376 + 5 = 11x - 209 + 593", "Combine constants: 8x + 381 = 11x - 209 + 593", "Combine constants: 8x + 381 = 11x + 384", "Subtract 11x from both sides: -3x + 381 = 384", "Subtract 381 from both sides: -3x = 3", "Divide both sides by -3: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 47) + 5 = 11(x - 19) + 593", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 47, \"c\": 5, \"d\": 11, \"e\": 19, \"g\": 593, \"x\": -1}", "seed": "8572337536240158041", "semantic_fingerprint": "sha256:307a1ef47b3ad6c8bf3ee303754852e512fd74e4fb23b6b3da50c48cfcbf7cbb", "generator_version": "3.0"}
{"id": "v3_test_id_00000245", "prompt": "Evaluate: (8 - 744) * (-9)", "solution_steps": ["Subtract: 8 - 744 = -736", "Multiply: -736 * (-9) = 6624"], "final_answer": "6624", "answer_type": "integer", "kind": "expression", "math_text": "(8 - 744) * (-9)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 744, \"c\": -9}", "seed": "3750066928064860215", "semantic_fingerprint": "sha256:5afe70aa64892023557596a412c999d0986a37cd6c5214d152c1b26d5db771cd", "generator_version": "3.0"}
{"id": "v3_test_id_00000246", "prompt": "Calculate: 1 - (-84 + 13) - (-85)", "solution_steps": ["Add: -84 + 13 = -71", "Subtract: 1 - (-71) = 72", "Subtract: 72 - (-85) = 157"], "final_answer": "157", "answer_type": "integer", "kind": "expression", "math_text": "1 - (-84 + 13) - (-85)", "variable": null, "family": "expression_3op", "shape": "(- (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -84, \"c\": 13, \"d\": -85}", "seed": "14122794051634908168", "semantic_fingerprint": "sha256:bd8fb0862d9cb3a2db10bd7b87cc5cd87e5387faafa7ab4e47196a99f2d33e5b", "generator_version": "3.0"}
{"id": "v3_test_id_00000247", "prompt": "Calculate: -7 + (-397 - 5) - (113 + (-74) + 97)", "solution_steps": ["Subtract: -397 - 5 = -402", "Add: -7 + (-402) = -409", "Add: 113 + (-74) = 39", "Add: 39 + 97 = 136", "Subtract: -409 - 136 = -545"], "final_answer": "-545", "answer_type": "integer", "kind": "expression", "math_text": "-7 + (-397 - 5) - (113 + (-74) + 97)", "variable": null, "family": "expression_5op", "shape": "(- (+ n (- n n)) (+ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -397, \"c\": 5, \"d\": 113, \"e\": -74, \"f\": 97}", "seed": "6721981625581228262", "semantic_fingerprint": "sha256:de01056f8e78ba279fff751874e95ff03e2dac8e1e61c81e1f9b75c670e724af", "generator_version": "3.0"}
{"id": "v3_test_id_00000248", "prompt": "Compute: 2 * (-16 - 1)", "solution_steps": ["Subtract: -16 - 1 = -17", "Multiply: 2 * (-17) = -34"], "final_answer": "-34", "answer_type": "integer", "kind": "expression", "math_text": "2 * (-16 - 1)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -16, \"c\": 1}", "seed": "16470979529041366090", "semantic_fingerprint": "sha256:3b81e46f27fcbad0a30000a7729c5540f58afe678fdb58317ab03df6ee0ee13d", "generator_version": "3.0"}
{"id": "v3_test_id_00000249", "prompt": "Evaluate: (715 + 20) * (-130 / (-7))", "solution_steps": ["Add: 715 + 20 = 735", "Divide: -130 / (-7) = 130/7", "Multiply: 735 * (130/7) = 13650"], "final_answer": "13650", "answer_type": "integer", "kind": "expression", "math_text": "(715 + 20) * (-130 / (-7))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 715, \"b\": 20, \"c\": -130, \"d\": -7}", "seed": "22829603823944986", "semantic_fingerprint": "sha256:5b2764a8a07a5d88aa4053f0bd3c05123ce381c92697937bcf72d1c77f37f504", "generator_version": "3.0"}
{"id": "v3_test_id_00000250", "prompt": "What value of x satisfies 2x = 12(x - 5)?", "solution_steps": ["Expand: 2x = 12x - 60", "Subtract 12x from both sides: -10x = -60", "Divide both sides by -10: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = 12(x - 5)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 12, \"c\": 5}", "seed": "2428332038082959394", "semantic_fingerprint": "sha256:36369ba6a0c15ba602c115e5e931a74aa82af3cb52ed032b5394ae761457d61f", "generator_version": "3.0"}
{"id": "v3_test_id_00000251", "prompt": "Calculate: (-688 - (-88)) / (-9 + (-38)) * (-16)", "solution_steps": ["Subtract: -688 - (-88) = -600", "Add: -9 + (-38) = -47", "Divide: -600 / (-47) = 600/47", "Multiply: (600/47) * (-16) = -9600/47"], "final_answer": "-9600/47", "answer_type": "rational", "kind": "expression", "math_text": "(-688 - (-88)) / (-9 + (-38)) * (-16)", "variable": null, "family": "expression_4op", "shape": "(* (/ (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -688, \"b\": -88, \"c\": -9, \"d\": -38, \"e\": -16}", "seed": "10890314496629818188", "semantic_fingerprint": "sha256:014fc351f8ce32124003daed9e7f20d6bba69f3b52e0e88748d37fa67a1507f1", "generator_version": "3.0"}
{"id": "v3_test_id_00000252", "prompt": "Calculate: (-5 + (-189 + (-45))) / 65", "solution_steps": ["Add: -189 + (-45) = -234", "Add: -5 + (-234) = -239", "Divide: -239 / 65 = -239/65"], "final_answer": "-239/65", "answer_type": "rational", "kind": "expression", "math_text": "(-5 + (-189 + (-45))) / 65", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -189, \"c\": -45, \"d\": 65}", "seed": "14731559820561645317", "semantic_fingerprint": "sha256:48507d87bc80be7129079614b88ac56e50e2e58f81b70540361881c89f0e4ee5", "generator_version": "3.0"}
{"id": "v3_test_id_00000253", "prompt": "Evaluate: 184 - (-13)", "solution_steps": ["Subtract: 184 - (-13) = 197"], "final_answer": "197", "answer_type": "integer", "kind": "expression", "math_text": "184 - (-13)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 184, \"b\": -13}", "seed": "8344654395059150650", "semantic_fingerprint": "sha256:580acb54397ecbabe4acb70eac1fd6ad73b28e73f6bcf2bdc39a8a8da8996372", "generator_version": "3.0"}
{"id": "v3_test_id_00000254", "prompt": "What is 77 / (-55)?", "solution_steps": ["Divide: 77 / (-55) = -7/5"], "final_answer": "-7/5", "answer_type": "rational", "kind": "expression", "math_text": "77 / (-55)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": -55}", "seed": "7313138596412702554", "semantic_fingerprint": "sha256:18af69a251ba583a9d6954bc47512a75d82b50aeb9bac640a3a5321f7a4ce03d", "generator_version": "3.0"}
{"id": "v3_test_id_00000255", "prompt": "What is -6 * (634 - (-31)) + (-71)?", "solution_steps": ["Subtract: 634 - (-31) = 665", "Multiply: -6 * 665 = -3990", "Add: -3990 + (-71) = -4061"], "final_answer": "-4061", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (634 - (-31)) + (-71)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 634, \"c\": -31, \"d\": -71}", "seed": "14316941467938221650", "semantic_fingerprint": "sha256:192056105d90e85ea7533f52d74039391c4130b1079913ba8a7988278b69e888", "generator_version": "3.0"}
{"id": "v3_test_id_00000256", "prompt": "Find x: 4x - 396 = x", "solution_steps": ["Subtract x from both sides: 3x - 396 = 0", "Add 396 to both sides: 3x = 396", "Divide both sides by 3: x = 132"], "final_answer": "132", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 396 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 396}", "seed": "9195379441886773696", "semantic_fingerprint": "sha256:f337e956a1fb48460d54b795354f85c5a2680888f22b0c1758d30ff5e55d73af", "generator_version": "3.0"}
{"id": "v3_test_id_00000257", "prompt": "Solve the equation -3(x + 22) = -7(x + 97) + 561 for x.", "solution_steps": ["Expand: -3x - 66 = -7(x + 97) + 561", "Expand: -3x - 66 = -7x - 679 + 561", "Combine constants: -3x - 66 = -7x - 118", "Add 7x to both sides: 4x - 66 = -118", "Add 66 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 + 22) = -7(x + 97) + 561", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 22, \"c\": -7, \"d\": 97, \"f\": 561, \"x\": -13}", "seed": "223869333003136417", "semantic_fingerprint": "sha256:4ce9c236c45c67b0a41c49a557fcce86e82ad1faebe36c968cecc40ad15803eb", "generator_version": "3.0"}
{"id": "v3_test_id_00000258", "prompt": "Calculate: 2 * (-60)", "solution_steps": ["Multiply: 2 * (-60) = -120"], "final_answer": "-120", "answer_type": "integer", "kind": "expression", "math_text": "2 * (-60)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -60}", "seed": "2622873166919610786", "semantic_fingerprint": "sha256:7b38ebbdfe83a1395a7eb549701dc8ca279ba48cd508371ad60ff236b3fc3a07", "generator_version": "3.0"}
{"id": "v3_test_id_00000259", "prompt": "Solve the equation x = -6x for x.", "solution_steps": ["Add 6x to both sides: 7x = 0", "Divide both sides by 7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -6x", "variable": "x", "family": "linear_equation", "shape": "x=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6}", "seed": "16646987721348294699", "semantic_fingerprint": "sha256:115535e1c5d976bc3be3975bddd9565e588e58ec537d54ba3402ba238d744d57", "generator_version": "3.0"}
{"id": "v3_test_id_00000260", "prompt": "Evaluate: 760 / (-2) / ((-98 - (-13) - (-27)) / (-4))", "solution_steps": ["Divide: 760 / (-2) = -380", "Subtract: -98 - (-13) = -85", "Subtract: -85 - (-27) = -58", "Divide: -58 / (-4) = 29/2", "Divide: -380 / (29/2) = -760/29"], "final_answer": "-760/29", "answer_type": "rational", "kind": "expression", "math_text": "760 / (-2) / ((-98 - (-13) - (-27)) / (-4))", "variable": null, "family": "expression_5op", "shape": "(/ (/ n n) (/ (- (- n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 760, \"b\": -2, \"c\": -98, \"d\": -13, \"e\": -27, \"f\": -4}", "seed": "7395102980305213036", "semantic_fingerprint": "sha256:b517b6a6b067e12aea8774e56db62d84a6741914d2a1a89fd1cd4db8cd14f663", "generator_version": "3.0"}
{"id": "v3_test_id_00000261", "prompt": "Compute: -24 + 96 - (-616)", "solution_steps": ["Add: -24 + 96 = 72", "Subtract: 72 - (-616) = 688"], "final_answer": "688", "answer_type": "integer", "kind": "expression", "math_text": "-24 + 96 - (-616)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": 96, \"c\": -616}", "seed": "2712165043269812533", "semantic_fingerprint": "sha256:4cc84d5348acbdfe79e5164a3555f2a893512862ae901f158d202de96997d201", "generator_version": "3.0"}
{"id": "v3_test_id_00000262", "prompt": "Calculate: 0 * 78 + (-60) / 9", "solution_steps": ["Multiply: 0 * 78 = 0", "Divide: -60 / 9 = -20/3", "Add: 0 + (-20/3) = -20/3"], "final_answer": "-20/3", "answer_type": "rational", "kind": "expression", "math_text": "0 * 78 + (-60) / 9", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 78, \"c\": -60, \"d\": 9}", "seed": "7782305495268132017", "semantic_fingerprint": "sha256:145576d56431d41baf34bb31d410e1b56be95e24c2c7bd91eaf4a26ea6c6f390", "generator_version": "3.0"}
{"id": "v3_test_id_00000263", "prompt": "What is 22 / (-4) / (-24) + 234?", "solution_steps": ["Divide: 22 / (-4) = -11/2", "Divide: (-11/2) / (-24) = 11/48", "Add: 11/48 + 234 = 11243/48"], "final_answer": "11243/48", "answer_type": "rational", "kind": "expression", "math_text": "22 / (-4) / (-24) + 234", "variable": null, "family": "expression_3op", "shape": "(+ (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": -4, \"c\": -24, \"d\": 234}", "seed": "5480609162200441637", "semantic_fingerprint": "sha256:1d340ccd2e11a8251e025a2267e9605d9f1315852a74cd575f1b4dcd8b09410d", "generator_version": "3.0"}
{"id": "v3_test_id_00000264", "prompt": "Compute: (20 + (-1)) / (-71)", "solution_steps": ["Add: 20 + (-1) = 19", "Divide: 19 / (-71) = -19/71"], "final_answer": "-19/71", "answer_type": "rational", "kind": "expression", "math_text": "(20 + (-1)) / (-71)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 20, \"b\": -1, \"c\": -71}", "seed": "3404443034385594616", "semantic_fingerprint": "sha256:9d06675560f7350a9928e44167aadfa05d9f71380cdb8a35797909ea87d5b881", "generator_version": "3.0"}
{"id": "v3_test_id_00000265", "prompt": "Find x: 9(x + 4) + 162 = 5(x + 26)", "solution_steps": ["Expand: 9x + 36 + 162 = 5(x + 26)", "Expand: 9x + 36 + 162 = 5x + 130", "Combine constants: 9x + 198 = 5x + 130", "Subtract 5x from both sides: 4x + 198 = 130", "Subtract 198 from both sides: 4x = -68", "Divide both sides by 4: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 4) + 162 = 5(x + 26)", "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\": 5, \"d\": 26, \"f\": 162, \"x\": -17}", "seed": "10362800875625675206", "semantic_fingerprint": "sha256:d8a9692f9db1dc03e28d58a8554f497921dd4b94153658aa8acc334d9ac1a2e4", "generator_version": "3.0"}
{"id": "v3_test_id_00000266", "prompt": "Evaluate: -31 * (-781 + (-37))", "solution_steps": ["Add: -781 + (-37) = -818", "Multiply: -31 * (-818) = 25358"], "final_answer": "25358", "answer_type": "integer", "kind": "expression", "math_text": "-31 * (-781 + (-37))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -31, \"b\": -781, \"c\": -37}", "seed": "7773199224692010154", "semantic_fingerprint": "sha256:660cab1f141747bcbdc7f80a286c90d4fdd52f64511d5caecb8d81fe1d08e1fe", "generator_version": "3.0"}
{"id": "v3_test_id_00000267", "prompt": "Calculate: -46 + 0", "solution_steps": ["Add: -46 + 0 = -46"], "final_answer": "-46", "answer_type": "integer", "kind": "expression", "math_text": "-46 + 0", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": 0}", "seed": "4686454294013223019", "semantic_fingerprint": "sha256:576ab9ec5cb16bc7097d67a00c9d3ba93eeb21253f7c425238526f52fd59adaa", "generator_version": "3.0"}
{"id": "v3_test_id_00000268", "prompt": "Evaluate: 6 - 8 / (-27 * 96 / (71 - (-410)))", "solution_steps": ["Multiply: -27 * 96 = -2592", "Subtract: 71 - (-410) = 481", "Divide: -2592 / 481 = -2592/481", "Divide: 8 / (-2592/481) = -481/324", "Subtract: 6 - (-481/324) = 2425/324"], "final_answer": "2425/324", "answer_type": "rational", "kind": "expression", "math_text": "6 - 8 / (-27 * 96 / (71 - (-410)))", "variable": null, "family": "expression_5op", "shape": "(- n (/ n (/ (* n n) (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": -27, \"d\": 96, \"e\": 71, \"f\": -410}", "seed": "4711528262694184196", "semantic_fingerprint": "sha256:ad680d5db50df694edca255e069d7299893df15a06c4ab83093f71748c14770f", "generator_version": "3.0"}
{"id": "v3_test_id_00000269", "prompt": "Evaluate: (90 - (-3) + (-28)) / (-578)", "solution_steps": ["Subtract: 90 - (-3) = 93", "Add: 93 + (-28) = 65", "Divide: 65 / (-578) = -65/578"], "final_answer": "-65/578", "answer_type": "rational", "kind": "expression", "math_text": "(90 - (-3) + (-28)) / (-578)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": -3, \"c\": -28, \"d\": -578}", "seed": "11388348068627386032", "semantic_fingerprint": "sha256:02728f03d61cd8df6d7c4077a49646662c9585cbb11994a57e1bc3512324ba05", "generator_version": "3.0"}
{"id": "v3_test_id_00000270", "prompt": "What value of x satisfies -9(x - 90) + 554 = x?", "solution_steps": ["Expand: -9x + 810 + 554 = x", "Combine constants: -9x + 1364 = x", "Subtract x from both sides: -10x + 1364 = 0", "Subtract 1364 from both sides: -10x = -1364", "Divide both sides by -10: x = 682/5"], "final_answer": "682/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 90) + 554 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 90, \"c\": 554}", "seed": "4147964107913328974", "semantic_fingerprint": "sha256:e2ef367baab71ef702fb5d3ced55409870b351ddcff426b023a4dc635f8059ea", "generator_version": "3.0"}
{"id": "v3_test_id_00000271", "prompt": "What is -265 * (-8 * (-21))?", "solution_steps": ["Multiply: -8 * (-21) = 168", "Multiply: -265 * 168 = -44520"], "final_answer": "-44520", "answer_type": "integer", "kind": "expression", "math_text": "-265 * (-8 * (-21))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -265, \"b\": -8, \"c\": -21}", "seed": "1568742995343397724", "semantic_fingerprint": "sha256:a32812c5b43426abe1ee77d22bdb3eeb9cc540cbee113f6d2c56c727aff27c3e", "generator_version": "3.0"}
{"id": "v3_test_id_00000272", "prompt": "Calculate: -945 - (-75) * (-76) / (5 * 1)", "solution_steps": ["Multiply: -75 * (-76) = 5700", "Multiply: 5 * 1 = 5", "Divide: 5700 / 5 = 1140", "Subtract: -945 - 1140 = -2085"], "final_answer": "-2085", "answer_type": "integer", "kind": "expression", "math_text": "-945 - (-75) * (-76) / (5 * 1)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (* n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -945, \"b\": -75, \"c\": -76, \"d\": 5, \"e\": 1}", "seed": "17351460947959426194", "semantic_fingerprint": "sha256:d08c7a390be211f01e3174a65cd3ec20d8fa2cc5512b8ac97168db2c8cec6f13", "generator_version": "3.0"}
{"id": "v3_test_id_00000273", "prompt": "Solve the equation x + 76 = 0 for x.", "solution_steps": ["Subtract 76 from both sides: x = -76"], "final_answer": "-76", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 76 = 0", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 0}", "seed": "12565135907573609022", "semantic_fingerprint": "sha256:12bc367e8aa35ae5e56574ed94cd2a43b041522ed253cb6672e84508ab34e07d", "generator_version": "3.0"}
{"id": "v3_test_id_00000274", "prompt": "What is 75 * (386 * (0 / (-7)))?", "solution_steps": ["Divide: 0 / (-7) = 0", "Multiply: 386 * 0 = 0", "Multiply: 75 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "75 * (386 * (0 / (-7)))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 386, \"c\": 0, \"d\": -7}", "seed": "8915661595372735458", "semantic_fingerprint": "sha256:d7f3e17095564e28c1138414c695a9e811c1a875ef4e2f11021a557004188b0c", "generator_version": "3.0"}
{"id": "v3_test_id_00000275", "prompt": "Evaluate: -51 * 4", "solution_steps": ["Multiply: -51 * 4 = -204"], "final_answer": "-204", "answer_type": "integer", "kind": "expression", "math_text": "-51 * 4", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": 4}", "seed": "17936266812647725591", "semantic_fingerprint": "sha256:821d78445ede192f1f881f56177bd1480518f7931308ddea82486d9cd5097e98", "generator_version": "3.0"}
{"id": "v3_test_id_00000276", "prompt": "Solve the equation x + 635 = 10x + 788 for x.", "solution_steps": ["Subtract 10x from both sides: -9x + 635 = 788", "Subtract 635 from both sides: -9x = 153", "Divide both sides by -9: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 635 = 10x + 788", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 635, \"b\": 10, \"d\": 788, \"x\": -17}", "seed": "11214147028787325304", "semantic_fingerprint": "sha256:d70dc8a47554c33faa662ec9b3ac208b77a3ad7897c52e2c82ceba6bdfe144c1", "generator_version": "3.0"}
{"id": "v3_test_id_00000277", "prompt": "What is (-193 + (-1) * 939) / (2 - 252)?", "solution_steps": ["Multiply: -1 * 939 = -939", "Add: -193 + (-939) = -1132", "Subtract: 2 - 252 = -250", "Divide: -1132 / (-250) = 566/125"], "final_answer": "566/125", "answer_type": "rational", "kind": "expression", "math_text": "(-193 + (-1) * 939) / (2 - 252)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (* n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -193, \"b\": -1, \"c\": 939, \"d\": 2, \"e\": 252}", "seed": "13433783071394585051", "semantic_fingerprint": "sha256:e01c9990fa28981c8177c97ebbe153add2fc7109613d126dc0c4cd06b4c71816", "generator_version": "3.0"}
{"id": "v3_test_id_00000278", "prompt": "Solve for x: x = 6(x + 3) + 6", "solution_steps": ["Expand: x = 6x + 18 + 6", "Combine constants: x = 6x + 24", "Subtract 6x from both sides: -5x = 24", "Divide both sides by -5: x = -24/5"], "final_answer": "-24/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 6(x + 3) + 6", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 6}", "seed": "10036473018673627392", "semantic_fingerprint": "sha256:91294c400eee09613cc3cf39e853c8f59aa85cae64530b4a03cd496c12bd3966", "generator_version": "3.0"}
{"id": "v3_test_id_00000279", "prompt": "What is 44 / (-9)?", "solution_steps": ["Divide: 44 / (-9) = -44/9"], "final_answer": "-44/9", "answer_type": "rational", "kind": "expression", "math_text": "44 / (-9)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": -9}", "seed": "14163100807907864805", "semantic_fingerprint": "sha256:c9c6f8ce753c57bd0037540ca7fe5fcc4ad5718a5affaa8c994184e6a4e088d9", "generator_version": "3.0"}
{"id": "v3_test_id_00000280", "prompt": "Solve the equation x = 11(x + 3) for x.", "solution_steps": ["Expand: x = 11x + 33", "Subtract 11x from both sides: -10x = 33", "Divide both sides by -10: x = -33/10"], "final_answer": "-33/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 11(x + 3)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 3}", "seed": "9900422727367493916", "semantic_fingerprint": "sha256:606d58b97cbd740ef851d98a8324cb42a5a773968cd75a725cbbfa52660c65f6", "generator_version": "3.0"}
{"id": "v3_test_id_00000281", "prompt": "Solve for x: 10(x + 419) = -6(x + 30) - 51", "solution_steps": ["Expand: 10x + 4190 = -6(x + 30) - 51", "Expand: 10x + 4190 = -6x - 180 - 51", "Combine constants: 10x + 4190 = -6x - 231", "Add 6x to both sides: 16x + 4190 = -231", "Subtract 4190 from both sides: 16x = -4421", "Divide both sides by 16: x = -4421/16"], "final_answer": "-4421/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 419) = -6(x + 30) - 51", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 419, \"c\": -6, \"d\": 30, \"e\": 51}", "seed": "5204692129431012319", "semantic_fingerprint": "sha256:b66a4a33d9db0e772544469b3cf2e6f0be980706328b3cb486a5c0bcb630b28a", "generator_version": "3.0"}
{"id": "v3_test_id_00000282", "prompt": "Find x: 4(x - 31) + 151 = x", "solution_steps": ["Expand: 4x - 124 + 151 = x", "Combine constants: 4x + 27 = x", "Subtract x from both sides: 3x + 27 = 0", "Subtract 27 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 - 31) + 151 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 31, \"d\": 151, \"x\": -9}", "seed": "3253559608427281471", "semantic_fingerprint": "sha256:061680f4d070718993cb598f918c68e218f39d8316d589fabaf37bd214814869", "generator_version": "3.0"}
{"id": "v3_test_id_00000283", "prompt": "Solve for x: -11(x - 258) - 75 = x - 909", "solution_steps": ["Expand: -11x + 2838 - 75 = x - 909", "Combine constants: -11x + 2763 = x - 909", "Subtract x from both sides: -12x + 2763 = -909", "Subtract 2763 from both sides: -12x = -3672", "Divide both sides by -12: x = 306"], "final_answer": "306", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 258) - 75 = x - 909", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 258, \"c\": 75, \"d\": 909}", "seed": "9533004122759298213", "semantic_fingerprint": "sha256:5387db5d3642afafd59a67212c33292fedf938b769b75f3fb7315fc65b095961", "generator_version": "3.0"}
{"id": "v3_test_id_00000284", "prompt": "What value of x satisfies 5(x + 1) - 23 = -8(x - 862) + 833?", "solution_steps": ["Expand: 5x + 5 - 23 = -8(x - 862) + 833", "Expand: 5x + 5 - 23 = -8x + 6896 + 833", "Combine constants: 5x - 18 = -8x + 6896 + 833", "Combine constants: 5x - 18 = -8x + 7729", "Add 8x to both sides: 13x - 18 = 7729", "Add 18 to both sides: 13x = 7747", "Divide both sides by 13: x = 7747/13"], "final_answer": "7747/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 1) - 23 = -8(x - 862) + 833", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 1, \"c\": 23, \"d\": -8, \"e\": 862, \"f\": 833}", "seed": "13810448900226680285", "semantic_fingerprint": "sha256:6e816a9c3c70981592257a2642df469e3ed238514336e41b5a8a4e5e06407d53", "generator_version": "3.0"}
{"id": "v3_test_id_00000285", "prompt": "Compute: -1 * ((69 + (-12)) * (-3) + 657)", "solution_steps": ["Add: 69 + (-12) = 57", "Multiply: 57 * (-3) = -171", "Add: -171 + 657 = 486", "Multiply: -1 * 486 = -486"], "final_answer": "-486", "answer_type": "integer", "kind": "expression", "math_text": "-1 * ((69 + (-12)) * (-3) + 657)", "variable": null, "family": "expression_4op", "shape": "(* n (+ (* (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 69, \"c\": -12, \"d\": -3, \"e\": 657}", "seed": "10445950236423993803", "semantic_fingerprint": "sha256:db72a6662398dfff4182f854be71a7646ebeea0539b2598d49e8d7a216d8067d", "generator_version": "3.0"}
{"id": "v3_test_id_00000286", "prompt": "Solve the equation -6(x - 4) = x + 80 for x.", "solution_steps": ["Expand: -6x + 24 = x + 80", "Subtract x from both sides: -7x + 24 = 80", "Subtract 24 from both sides: -7x = 56", "Divide both sides by -7: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 4) = x + 80", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 4, \"d\": 80, \"x\": -8}", "seed": "4041367074970133925", "semantic_fingerprint": "sha256:613e4b0fb63ee336921c3eaa46c27e9b8103febd4d3471240a3cd67c218c75c1", "generator_version": "3.0"}
{"id": "v3_test_id_00000287", "prompt": "Solve the equation 9x - 64 = x for x.", "solution_steps": ["Subtract x from both sides: 8x - 64 = 0", "Add 64 to both sides: 8x = 64", "Divide both sides by 8: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 64 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"c\": -64, \"x\": 8}", "seed": "17521826775065138480", "semantic_fingerprint": "sha256:07d7c30c02c45aee7d0fb1f72a4874eca7f8bc8673febd7330c9682873fd37f0", "generator_version": "3.0"}
{"id": "v3_test_id_00000288", "prompt": "Solve for x: 4x - 30 = x", "solution_steps": ["Subtract x from both sides: 3x - 30 = 0", "Add 30 to both sides: 3x = 30", "Divide both sides by 3: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 30 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"c\": -30, \"x\": 10}", "seed": "15192899494333066296", "semantic_fingerprint": "sha256:93141781fd3ea562e79b4a22eef04d6ba531b07e52ef4a7ad2421bd66dae471f", "generator_version": "3.0"}
{"id": "v3_test_id_00000289", "prompt": "Evaluate: 5 - (-637 - (-61) / 1)", "solution_steps": ["Divide: -61 / 1 = -61", "Subtract: -637 - (-61) = -576", "Subtract: 5 - (-576) = 581"], "final_answer": "581", "answer_type": "integer", "kind": "expression", "math_text": "5 - (-637 - (-61) / 1)", "variable": null, "family": "expression_3op", "shape": "(- n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -637, \"c\": -61, \"d\": 1}", "seed": "12680041710399811628", "semantic_fingerprint": "sha256:899f27ddd31c6a87e48281be41ef827721254159bc439ad4620cd41a1364751c", "generator_version": "3.0"}
{"id": "v3_test_id_00000290", "prompt": "Evaluate: -6 - (-641) / (-131 - (-37 + (-489))) * (-71)", "solution_steps": ["Add: -37 + (-489) = -526", "Subtract: -131 - (-526) = 395", "Divide: -641 / 395 = -641/395", "Multiply: (-641/395) * (-71) = 45511/395", "Subtract: -6 - 45511/395 = -47881/395"], "final_answer": "-47881/395", "answer_type": "rational", "kind": "expression", "math_text": "-6 - (-641) / (-131 - (-37 + (-489))) * (-71)", "variable": null, "family": "expression_5op", "shape": "(- n (* (/ n (- n (+ n n))) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -641, \"c\": -131, \"d\": -37, \"e\": -489, \"f\": -71}", "seed": "16591310567561313457", "semantic_fingerprint": "sha256:f4144cdae080d85d4d010eaec77474f10b55c288aa5056fc569c944658ac52d9", "generator_version": "3.0"}
{"id": "v3_test_id_00000291", "prompt": "Compute: -111 + (-77) - (-45)", "solution_steps": ["Add: -111 + (-77) = -188", "Subtract: -188 - (-45) = -143"], "final_answer": "-143", "answer_type": "integer", "kind": "expression", "math_text": "-111 + (-77) - (-45)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -111, \"b\": -77, \"c\": -45}", "seed": "6463175684367783556", "semantic_fingerprint": "sha256:901f2c0225fdbb387fea6e2ec676bfc468ac270ee7fe57d3b1a8c1eb56ba2f61", "generator_version": "3.0"}
{"id": "v3_test_id_00000292", "prompt": "Compute: (4 + (-4) + (-385)) / 82", "solution_steps": ["Add: 4 + (-4) = 0", "Add: 0 + (-385) = -385", "Divide: -385 / 82 = -385/82"], "final_answer": "-385/82", "answer_type": "rational", "kind": "expression", "math_text": "(4 + (-4) + (-385)) / 82", "variable": null, "family": "expression_3op", "shape": "(/ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -4, \"c\": -385, \"d\": 82}", "seed": "17182258772951008034", "semantic_fingerprint": "sha256:0c294f7ed09b7991e5dd3e8c844ce6e5f84445515352f153fa0d7d12ff1c0e12", "generator_version": "3.0"}
{"id": "v3_test_id_00000293", "prompt": "Solve the equation -3x + 68 = 8x - 9 for x.", "solution_steps": ["Subtract 8x from both sides: -11x + 68 = -9", "Subtract 68 from both sides: -11x = -77", "Divide both sides by -11: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x + 68 = 8x - 9", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 68, \"c\": 8, \"e\": -9, \"x\": 7}", "seed": "3974262341512868801", "semantic_fingerprint": "sha256:2f4e414eae922bb1d7ac363b720b0bd853f582a2bd7d3d4d957043045fe1e9ff", "generator_version": "3.0"}
{"id": "v3_test_id_00000294", "prompt": "Evaluate: 121 * 335 / (-92 + 5 + (-558))", "solution_steps": ["Multiply: 121 * 335 = 40535", "Add: -92 + 5 = -87", "Add: -87 + (-558) = -645", "Divide: 40535 / (-645) = -8107/129"], "final_answer": "-8107/129", "answer_type": "rational", "kind": "expression", "math_text": "121 * 335 / (-92 + 5 + (-558))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 121, \"b\": 335, \"c\": -92, \"d\": 5, \"e\": -558}", "seed": "18166503452143826990", "semantic_fingerprint": "sha256:e8485e29319f207488819487beae68a95aacbda606eaca489bea75402c55d9f1", "generator_version": "3.0"}
{"id": "v3_test_id_00000295", "prompt": "Calculate: 5 + 5 + 22 - (-5)", "solution_steps": ["Add: 5 + 5 = 10", "Add: 10 + 22 = 32", "Subtract: 32 - (-5) = 37"], "final_answer": "37", "answer_type": "integer", "kind": "expression", "math_text": "5 + 5 + 22 - (-5)", "variable": null, "family": "expression_3op", "shape": "(- (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 5, \"c\": 22, \"d\": -5}", "seed": "7278150677756492570", "semantic_fingerprint": "sha256:62c17fb3b112d3562803365fa5c054824af911323449d81ac917f148110bf1f1", "generator_version": "3.0"}
{"id": "v3_test_id_00000296", "prompt": "Find x: 4(x - 62) = x", "solution_steps": ["Expand: 4x - 248 = x", "Subtract x from both sides: 3x - 248 = 0", "Add 248 to both sides: 3x = 248", "Divide both sides by 3: x = 248/3"], "final_answer": "248/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 62) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 62}", "seed": "18012573483426481013", "semantic_fingerprint": "sha256:fa591c379a6e5a104bf3d483bc593efa9dd1bc7b83682ec50efae0e18ec2da70", "generator_version": "3.0"}
{"id": "v3_test_id_00000297", "prompt": "Solve the equation -10(x - 75) = -70 for x.", "solution_steps": ["Expand: -10x + 750 = -70", "Subtract 750 from both sides: -10x = -820", "Divide both sides by -10: x = 82"], "final_answer": "82", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 75) = -70", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 75, \"c\": -70}", "seed": "5590581947316234842", "semantic_fingerprint": "sha256:d788754aac9b6e3f0f6bd325b40cfc6f8d3c0e4fba5e75a3af325cbd7e1bc4f7", "generator_version": "3.0"}
{"id": "v3_test_id_00000298", "prompt": "What value of x satisfies 7x - 39 = -9(x - 855) - 6?", "solution_steps": ["Expand: 7x - 39 = -9x + 7695 - 6", "Combine constants: 7x - 39 = -9x + 7689", "Add 9x to both sides: 16x - 39 = 7689", "Add 39 to both sides: 16x = 7728", "Divide both sides by 16: x = 483"], "final_answer": "483", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 39 = -9(x - 855) - 6", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 39, \"c\": -9, \"d\": 855, \"e\": 6}", "seed": "14543513009957336601", "semantic_fingerprint": "sha256:73003a203450a188a7370b7ded9f6df93f83f7b27c887b53c8a2c179d9bfbbb7", "generator_version": "3.0"}
{"id": "v3_test_id_00000299", "prompt": "What is -2 * (96 * 4)?", "solution_steps": ["Multiply: 96 * 4 = 384", "Multiply: -2 * 384 = -768"], "final_answer": "-768", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (96 * 4)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 96, \"c\": 4}", "seed": "11236571561678080857", "semantic_fingerprint": "sha256:4947989286d3aa0a4ddb7baae39f7a055b1e50e25e7caf2e33f15263fc316847", "generator_version": "3.0"}
{"id": "v3_test_id_00000300", "prompt": "Compute: 5 - (369 + (-290))", "solution_steps": ["Add: 369 + (-290) = 79", "Subtract: 5 - 79 = -74"], "final_answer": "-74", "answer_type": "integer", "kind": "expression", "math_text": "5 - (369 + (-290))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 369, \"c\": -290}", "seed": "8643704429511970679", "semantic_fingerprint": "sha256:559bb0219b5fa647741ae16196dc942e756ccef6386261641a8bf40497bb66b1", "generator_version": "3.0"}
{"id": "v3_test_id_00000301", "prompt": "Calculate: -215 + 9", "solution_steps": ["Add: -215 + 9 = -206"], "final_answer": "-206", "answer_type": "integer", "kind": "expression", "math_text": "-215 + 9", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -215, \"b\": 9}", "seed": "17082237330814272315", "semantic_fingerprint": "sha256:af7e10dfcca7bdf456aeb115ae42bedd974ca4de813aa34ffbcd4943a7f01fe0", "generator_version": "3.0"}
{"id": "v3_test_id_00000302", "prompt": "Solve the equation x - 56 = 11(x + 49) - 565 for x.", "solution_steps": ["Expand: x - 56 = 11x + 539 - 565", "Combine constants: x - 56 = 11x - 26", "Subtract 11x from both sides: -10x - 56 = -26", "Add 56 to both sides: -10x = 30", "Divide both sides by -10: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 56 = 11(x + 49) - 565", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 11, \"c\": 49, \"e\": -565, \"x\": -3}", "seed": "13054857722440339204", "semantic_fingerprint": "sha256:7c7b5fb0d9cac21311c98f9790aa5176144d2d22d174a4652df3c272eed3f240", "generator_version": "3.0"}
{"id": "v3_test_id_00000303", "prompt": "What is -10 + (-47 - 2)?", "solution_steps": ["Subtract: -47 - 2 = -49", "Add: -10 + (-49) = -59"], "final_answer": "-59", "answer_type": "integer", "kind": "expression", "math_text": "-10 + (-47 - 2)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": -47, \"c\": 2}", "seed": "11189346807847568422", "semantic_fingerprint": "sha256:34f6bcb44423096fe7ebced117f2bb41fdf8f66b0892584de5d699922c987bd8", "generator_version": "3.0"}
{"id": "v3_test_id_00000304", "prompt": "What value of x satisfies 9(x - 294) - 56 = 3(x + 39) + 24?", "solution_steps": ["Expand: 9x - 2646 - 56 = 3(x + 39) + 24", "Expand: 9x - 2646 - 56 = 3x + 117 + 24", "Combine constants: 9x - 2702 = 3x + 117 + 24", "Combine constants: 9x - 2702 = 3x + 141", "Subtract 3x from both sides: 6x - 2702 = 141", "Add 2702 to both sides: 6x = 2843", "Divide both sides by 6: x = 2843/6"], "final_answer": "2843/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 294) - 56 = 3(x + 39) + 24", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 294, \"c\": 56, \"d\": 3, \"e\": 39, \"f\": 24}", "seed": "481385551905022634", "semantic_fingerprint": "sha256:7994b76ce6301a6b92c976e5872718374536ace0b81607a570307648f5b32ec5", "generator_version": "3.0"}
{"id": "v3_test_id_00000305", "prompt": "Find x: x + 460 = -8(x - 80)", "solution_steps": ["Expand: x + 460 = -8x + 640", "Add 8x to both sides: 9x + 460 = 640", "Subtract 460 from both sides: 9x = 180", "Divide both sides by 9: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 460 = -8(x - 80)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 80, \"d\": 460, \"x\": 20}", "seed": "9637892815495097858", "semantic_fingerprint": "sha256:753cb0f57a5ddc6a34a8e02d6ce83b593b6d016e8b0308ddd8cae1588a656751", "generator_version": "3.0"}
{"id": "v3_test_id_00000306", "prompt": "Evaluate: -7 / (-968) + (-5)", "solution_steps": ["Divide: -7 / (-968) = 7/968", "Add: 7/968 + (-5) = -4833/968"], "final_answer": "-4833/968", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (-968) + (-5)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -968, \"c\": -5}", "seed": "8478754956471275493", "semantic_fingerprint": "sha256:a0bcc2db4ece6cfef671182e97791d2e0cb992c54011d2d17ace5e931a12a57e", "generator_version": "3.0"}
{"id": "v3_test_id_00000307", "prompt": "Find x: 10x + 748 = 2(x + 1) + 658", "solution_steps": ["Expand: 10x + 748 = 2x + 2 + 658", "Combine constants: 10x + 748 = 2x + 660", "Subtract 2x from both sides: 8x + 748 = 660", "Subtract 748 from both sides: 8x = -88", "Divide both sides by 8: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x + 748 = 2(x + 1) + 658", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 748, \"c\": 2, \"d\": 1, \"f\": 658, \"x\": -11}", "seed": "1511299004360400463", "semantic_fingerprint": "sha256:199edb1ad457dc3776284529741d298476635d1d859cec98b357844e93811dc4", "generator_version": "3.0"}
{"id": "v3_test_id_00000308", "prompt": "Solve for x: 9x - 14 = 11x", "solution_steps": ["Subtract 11x from both sides: -2x - 14 = 0", "Add 14 to both sides: -2x = 14", "Divide both sides by -2: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 14 = 11x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 11, \"d\": -14, \"x\": -7}", "seed": "10732893071752576121", "semantic_fingerprint": "sha256:5abe61bbadaf85efc3f967122f1aadade9974ecf9c99d7495939a206673f20e0", "generator_version": "3.0"}
{"id": "v3_test_id_00000309", "prompt": "Calculate: -8 / (-4) / 37 * (-5)", "solution_steps": ["Divide: -8 / (-4) = 2", "Divide: 2 / 37 = 2/37", "Multiply: (2/37) * (-5) = -10/37"], "final_answer": "-10/37", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (-4) / 37 * (-5)", "variable": null, "family": "expression_3op", "shape": "(* (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -4, \"c\": 37, \"d\": -5}", "seed": "454941334052975157", "semantic_fingerprint": "sha256:1c5c45058ce5e004c0f6f47a6dc31430d8b44f772c1bf3661f461ea06feb3a9f", "generator_version": "3.0"}
{"id": "v3_test_id_00000310", "prompt": "Compute: (0 + (-44) - 87) / (-34)", "solution_steps": ["Add: 0 + (-44) = -44", "Subtract: -44 - 87 = -131", "Divide: -131 / (-34) = 131/34"], "final_answer": "131/34", "answer_type": "rational", "kind": "expression", "math_text": "(0 + (-44) - 87) / (-34)", "variable": null, "family": "expression_3op", "shape": "(/ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -44, \"c\": 87, \"d\": -34}", "seed": "3021363761603181812", "semantic_fingerprint": "sha256:c0e46747156c30c31c0a4247eae845fbbf46340c822c0f432dfdebd99d53219d", "generator_version": "3.0"}
{"id": "v3_test_id_00000311", "prompt": "Compute: -5 / (-96 - (-62))", "solution_steps": ["Subtract: -96 - (-62) = -34", "Divide: -5 / (-34) = 5/34"], "final_answer": "5/34", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-96 - (-62))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -96, \"c\": -62}", "seed": "16032877311769600400", "semantic_fingerprint": "sha256:a85f2bc2b6554162f4798f59bc440e273b62709f1e81822ad1351e98b7ecda29", "generator_version": "3.0"}
{"id": "v3_test_id_00000312", "prompt": "Calculate: -807 * ((96 + 430) / (-97 - (-80)))", "solution_steps": ["Add: 96 + 430 = 526", "Subtract: -97 - (-80) = -17", "Divide: 526 / (-17) = -526/17", "Multiply: -807 * (-526/17) = 424482/17"], "final_answer": "424482/17", "answer_type": "rational", "kind": "expression", "math_text": "-807 * ((96 + 430) / (-97 - (-80)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (+ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -807, \"b\": 96, \"c\": 430, \"d\": -97, \"e\": -80}", "seed": "3263824227989456563", "semantic_fingerprint": "sha256:4e1d401fb8ff2ecdc294316f204b51114eeddf5c923d64860a0e0a399b01e611", "generator_version": "3.0"}
{"id": "v3_test_id_00000313", "prompt": "Compute: 720 + (71 + (-8)) - (-57) - (-794) * 165", "solution_steps": ["Add: 71 + (-8) = 63", "Add: 720 + 63 = 783", "Subtract: 783 - (-57) = 840", "Multiply: -794 * 165 = -131010", "Subtract: 840 - (-131010) = 131850"], "final_answer": "131850", "answer_type": "integer", "kind": "expression", "math_text": "720 + (71 + (-8)) - (-57) - (-794) * 165", "variable": null, "family": "expression_5op", "shape": "(- (- (+ n (+ n n)) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 720, \"b\": 71, \"c\": -8, \"d\": -57, \"e\": -794, \"f\": 165}", "seed": "5528135424292069586", "semantic_fingerprint": "sha256:c2615089014d125c29aa30933a0f517c7720c679dcc5006629fb94c8add52b52", "generator_version": "3.0"}
{"id": "v3_test_id_00000314", "prompt": "What value of x satisfies -4(x + 428) = x?", "solution_steps": ["Expand: -4x - 1712 = x", "Subtract x from both sides: -5x - 1712 = 0", "Add 1712 to both sides: -5x = 1712", "Divide both sides by -5: x = -1712/5"], "final_answer": "-1712/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 428) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 428}", "seed": "15522617653924539699", "semantic_fingerprint": "sha256:68dc5ea4018f8a820cfd494195829183954b6c8ecd346e026c0fdc1843eb8b71", "generator_version": "3.0"}
{"id": "v3_test_id_00000315", "prompt": "What value of x satisfies -7x + 56 = -4x + 516?", "solution_steps": ["Add 4x to both sides: -3x + 56 = 516", "Subtract 56 from both sides: -3x = 460", "Divide both sides by -3: x = -460/3"], "final_answer": "-460/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7x + 56 = -4x + 516", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 56, \"c\": -4, \"d\": 516}", "seed": "4177973393421295257", "semantic_fingerprint": "sha256:651e56c7949e0840a020467d9ad97594c8a8d95207659995588ecf0562b188a8", "generator_version": "3.0"}
{"id": "v3_test_id_00000316", "prompt": "Solve the equation -3(x + 291) + 194 = -706 for x.", "solution_steps": ["Expand: -3x - 873 + 194 = -706", "Combine constants: -3x - 679 = -706", "Add 679 to both sides: -3x = -27", "Divide both sides by -3: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 291) + 194 = -706", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 291, \"c\": 194, \"e\": -706, \"x\": 9}", "seed": "5803222765526377732", "semantic_fingerprint": "sha256:c5987f30f53436aa4fca17e71a597eb7a070cfc78d4742429345ac6b0653f02b", "generator_version": "3.0"}
{"id": "v3_test_id_00000317", "prompt": "What is -55 + (-157) + (-389) / (-70 - 0 - 86)?", "solution_steps": ["Add: -55 + (-157) = -212", "Subtract: -70 - 0 = -70", "Subtract: -70 - 86 = -156", "Divide: -389 / (-156) = 389/156", "Add: -212 + 389/156 = -32683/156"], "final_answer": "-32683/156", "answer_type": "rational", "kind": "expression", "math_text": "-55 + (-157) + (-389) / (-70 - 0 - 86)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (/ n (- (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": -157, \"c\": -389, \"d\": -70, \"e\": 0, \"f\": 86}", "seed": "4998770559117566410", "semantic_fingerprint": "sha256:d3c1977eff466c5188a69dd11222c183529d54be21edac9c9dcb9fad70509a5b", "generator_version": "3.0"}
{"id": "v3_test_id_00000318", "prompt": "Evaluate: (-809 + 4) / 774", "solution_steps": ["Add: -809 + 4 = -805", "Divide: -805 / 774 = -805/774"], "final_answer": "-805/774", "answer_type": "rational", "kind": "expression", "math_text": "(-809 + 4) / 774", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -809, \"b\": 4, \"c\": 774}", "seed": "8207119382624920988", "semantic_fingerprint": "sha256:4b1dec2486b35f6ef41a8fc3277d4b40e0586539dee0eb5e12ec69447c966643", "generator_version": "3.0"}
{"id": "v3_test_id_00000319", "prompt": "Calculate: -19 - (46 - (280 + 9))", "solution_steps": ["Add: 280 + 9 = 289", "Subtract: 46 - 289 = -243", "Subtract: -19 - (-243) = 224"], "final_answer": "224", "answer_type": "integer", "kind": "expression", "math_text": "-19 - (46 - (280 + 9))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": 46, \"c\": 280, \"d\": 9}", "seed": "345573920576008392", "semantic_fingerprint": "sha256:13c09cd3de2b20e3d1ce04649e979f9cd43889bea2fadf51a37e5ffb4ee76e74", "generator_version": "3.0"}
{"id": "v3_test_id_00000320", "prompt": "Evaluate: 170 * (371 / 80) * 6", "solution_steps": ["Divide: 371 / 80 = 371/80", "Multiply: 170 * (371/80) = 6307/8", "Multiply: (6307/8) * 6 = 18921/4"], "final_answer": "18921/4", "answer_type": "rational", "kind": "expression", "math_text": "170 * (371 / 80) * 6", "variable": null, "family": "expression_3op", "shape": "(* (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 170, \"b\": 371, \"c\": 80, \"d\": 6}", "seed": "3729435182593289985", "semantic_fingerprint": "sha256:d1022c096e99abff7596e7659b9df07ba017cbc533d53c3e689595f772276a3e", "generator_version": "3.0"}
{"id": "v3_test_id_00000321", "prompt": "Compute: 203 - (-7) + (98 - (-8))", "solution_steps": ["Subtract: 203 - (-7) = 210", "Subtract: 98 - (-8) = 106", "Add: 210 + 106 = 316"], "final_answer": "316", "answer_type": "integer", "kind": "expression", "math_text": "203 - (-7) + (98 - (-8))", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 203, \"b\": -7, \"c\": 98, \"d\": -8}", "seed": "5097422145308931595", "semantic_fingerprint": "sha256:bb5f5737db27917dbea0601d976d214902948384d6dd76046f7fdd3b5ff378f7", "generator_version": "3.0"}
{"id": "v3_test_id_00000322", "prompt": "Find x: x - 227 = -8(x + 25)", "solution_steps": ["Expand: x - 227 = -8x - 200", "Add 8x to both sides: 9x - 227 = -200", "Add 227 to both sides: 9x = 27", "Divide both sides by 9: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 227 = -8(x + 25)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 25, \"d\": -227, \"x\": 3}", "seed": "11972039120198303220", "semantic_fingerprint": "sha256:8627d7708311070b3ec2af155aa55e6c39aaff7a71583bbdf877d1538bec9d24", "generator_version": "3.0"}
{"id": "v3_test_id_00000323", "prompt": "What value of x satisfies 5(x + 103) - 4 = 8(x - 1) + 477?", "solution_steps": ["Expand: 5x + 515 - 4 = 8(x - 1) + 477", "Expand: 5x + 515 - 4 = 8x - 8 + 477", "Combine constants: 5x + 511 = 8x - 8 + 477", "Combine constants: 5x + 511 = 8x + 469", "Subtract 8x from both sides: -3x + 511 = 469", "Subtract 511 from both sides: -3x = -42", "Divide both sides by -3: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 103) - 4 = 8(x - 1) + 477", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 103, \"c\": 4, \"d\": 8, \"e\": 1, \"g\": 477, \"x\": 14}", "seed": "8908963161535916717", "semantic_fingerprint": "sha256:390bedcdeb406251ce398f86f2be432475c990532eed1e3943a1664e451b586f", "generator_version": "3.0"}
{"id": "v3_test_id_00000324", "prompt": "Calculate: -3 * 62 - 946", "solution_steps": ["Multiply: -3 * 62 = -186", "Subtract: -186 - 946 = -1132"], "final_answer": "-1132", "answer_type": "integer", "kind": "expression", "math_text": "-3 * 62 - 946", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 62, \"c\": 946}", "seed": "12737124391350570068", "semantic_fingerprint": "sha256:a63809f43044d29dae911e162e2de3e743b4ba5f64584ff321c177cd283f56ec", "generator_version": "3.0"}
{"id": "v3_test_id_00000325", "prompt": "Calculate: -44 / (-1) + (-5) / (-41 * (-93))", "solution_steps": ["Divide: -44 / (-1) = 44", "Multiply: -41 * (-93) = 3813", "Divide: -5 / 3813 = -5/3813", "Add: 44 + (-5/3813) = 167767/3813"], "final_answer": "167767/3813", "answer_type": "rational", "kind": "expression", "math_text": "-44 / (-1) + (-5) / (-41 * (-93))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (/ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -1, \"c\": -5, \"d\": -41, \"e\": -93}", "seed": "3222780881271589487", "semantic_fingerprint": "sha256:1eabe84670ca2f7c324fd80911117429e01b34b803a5431c0b92184689e72998", "generator_version": "3.0"}
{"id": "v3_test_id_00000326", "prompt": "What is (939 + 43 / (-21)) / (-6)?", "solution_steps": ["Divide: 43 / (-21) = -43/21", "Add: 939 + (-43/21) = 19676/21", "Divide: (19676/21) / (-6) = -9838/63"], "final_answer": "-9838/63", "answer_type": "rational", "kind": "expression", "math_text": "(939 + 43 / (-21)) / (-6)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 939, \"b\": 43, \"c\": -21, \"d\": -6}", "seed": "13324286655816087542", "semantic_fingerprint": "sha256:fe85276271e352bc5da6c6a7032edc69b1fd300c465605920699c7d08b566ec4", "generator_version": "3.0"}
{"id": "v3_test_id_00000327", "prompt": "What is 66 + 5 + (5 - 203)?", "solution_steps": ["Add: 66 + 5 = 71", "Subtract: 5 - 203 = -198", "Add: 71 + (-198) = -127"], "final_answer": "-127", "answer_type": "integer", "kind": "expression", "math_text": "66 + 5 + (5 - 203)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": 5, \"c\": 5, \"d\": 203}", "seed": "687313840117370374", "semantic_fingerprint": "sha256:4ea05f1a5691d2808a375c88f41a98e095c8f08379c5b2e6876706edf0211284", "generator_version": "3.0"}
{"id": "v3_test_id_00000328", "prompt": "Evaluate: 951 / 7 + (-724)", "solution_steps": ["Divide: 951 / 7 = 951/7", "Add: 951/7 + (-724) = -4117/7"], "final_answer": "-4117/7", "answer_type": "rational", "kind": "expression", "math_text": "951 / 7 + (-724)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 951, \"b\": 7, \"c\": -724}", "seed": "15742472573330067986", "semantic_fingerprint": "sha256:636f7af553cca69f2f1520989632ac8fcc68ab274ebd60afac65240e3175ae69", "generator_version": "3.0"}
{"id": "v3_test_id_00000329", "prompt": "Solve the equation 7(x - 75) = x - 477 for x.", "solution_steps": ["Expand: 7x - 525 = x - 477", "Subtract x from both sides: 6x - 525 = -477", "Add 525 to both sides: 6x = 48", "Divide both sides by 6: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 75) = x - 477", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 75, \"d\": -477, \"x\": 8}", "seed": "12733292725448895481", "semantic_fingerprint": "sha256:829b5095db4138ef839d8561ebde58ee52995c60926ed3fe78af8ad85ee770b6", "generator_version": "3.0"}
{"id": "v3_test_id_00000330", "prompt": "What is -965 / (8 - (-539)) * (-34)?", "solution_steps": ["Subtract: 8 - (-539) = 547", "Divide: -965 / 547 = -965/547", "Multiply: (-965/547) * (-34) = 32810/547"], "final_answer": "32810/547", "answer_type": "rational", "kind": "expression", "math_text": "-965 / (8 - (-539)) * (-34)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -965, \"b\": 8, \"c\": -539, \"d\": -34}", "seed": "7916323285767443384", "semantic_fingerprint": "sha256:62e94b44b068e47e3784b9e52f0dc47c7f9727e3798fa702d7fcfd8be01493f1", "generator_version": "3.0"}
{"id": "v3_test_id_00000331", "prompt": "Evaluate: (86 - 7) / (-44 * (-5 - 28)) - (-28)", "solution_steps": ["Subtract: 86 - 7 = 79", "Subtract: -5 - 28 = -33", "Multiply: -44 * (-33) = 1452", "Divide: 79 / 1452 = 79/1452", "Subtract: 79/1452 - (-28) = 40735/1452"], "final_answer": "40735/1452", "answer_type": "rational", "kind": "expression", "math_text": "(86 - 7) / (-44 * (-5 - 28)) - (-28)", "variable": null, "family": "expression_5op", "shape": "(- (/ (- n n) (* n (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 7, \"c\": -44, \"d\": -5, \"e\": 28, \"f\": -28}", "seed": "11781593312531733671", "semantic_fingerprint": "sha256:4bdcd3882346f6c42c872fdd1ac9af67d58cfbf40b7a6a790bab953ec3a78ea5", "generator_version": "3.0"}
{"id": "v3_test_id_00000332", "prompt": "Compute: 815 - (0 - 136)", "solution_steps": ["Subtract: 0 - 136 = -136", "Subtract: 815 - (-136) = 951"], "final_answer": "951", "answer_type": "integer", "kind": "expression", "math_text": "815 - (0 - 136)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 815, \"b\": 0, \"c\": 136}", "seed": "11588083846894163774", "semantic_fingerprint": "sha256:e1becd47b70b4cf79920ff5185b9f7059916af1af3521a177ac87486d7674e3a", "generator_version": "3.0"}
{"id": "v3_test_id_00000333", "prompt": "Solve for x: x + 909 = -11(x + 326) - 93", "solution_steps": ["Expand: x + 909 = -11x - 3586 - 93", "Combine constants: x + 909 = -11x - 3679", "Add 11x to both sides: 12x + 909 = -3679", "Subtract 909 from both sides: 12x = -4588", "Divide both sides by 12: x = -1147/3"], "final_answer": "-1147/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 909 = -11(x + 326) - 93", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 909, \"b\": -11, \"c\": 326, \"d\": 93}", "seed": "13255362283654315408", "semantic_fingerprint": "sha256:081ff1c101684ae3b4892a28e7bd56b677983d54d866e5f1eeebca7ee20c7070", "generator_version": "3.0"}
{"id": "v3_test_id_00000334", "prompt": "Solve the equation 10x + 160 = 5x + 140 for x.", "solution_steps": ["Subtract 5x from both sides: 5x + 160 = 140", "Subtract 160 from both sides: 5x = -20", "Divide both sides by 5: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x + 160 = 5x + 140", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 160, \"c\": 5, \"e\": 140, \"x\": -4}", "seed": "8163557096385886408", "semantic_fingerprint": "sha256:21b5446bf251a90328c752f00ce2c587560a7d22f55f463dfd2b7db74656f565", "generator_version": "3.0"}
{"id": "v3_test_id_00000335", "prompt": "What is -82 * (-357 + 1)?", "solution_steps": ["Add: -357 + 1 = -356", "Multiply: -82 * (-356) = 29192"], "final_answer": "29192", "answer_type": "integer", "kind": "expression", "math_text": "-82 * (-357 + 1)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -82, \"b\": -357, \"c\": 1}", "seed": "17013429667374341852", "semantic_fingerprint": "sha256:56889709d66c1c4328d16b3d95942d8d116955d01c66b1079239600adb3b3783", "generator_version": "3.0"}
{"id": "v3_test_id_00000336", "prompt": "What is 0 + (-937 + (-72)) + (-6) - 90?", "solution_steps": ["Add: -937 + (-72) = -1009", "Add: 0 + (-1009) = -1009", "Add: -1009 + (-6) = -1015", "Subtract: -1015 - 90 = -1105"], "final_answer": "-1105", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-937 + (-72)) + (-6) - 90", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -937, \"c\": -72, \"d\": -6, \"e\": 90}", "seed": "2709115962144711829", "semantic_fingerprint": "sha256:707ae878ee7b284543790ac89f0668e85ecd03165cae5c4e1b05db41059e1272", "generator_version": "3.0"}
{"id": "v3_test_id_00000337", "prompt": "Compute: 60 / (66 - (-7) * 2 - (20 - 4))", "solution_steps": ["Multiply: -7 * 2 = -14", "Subtract: 66 - (-14) = 80", "Subtract: 20 - 4 = 16", "Subtract: 80 - 16 = 64", "Divide: 60 / 64 = 15/16"], "final_answer": "15/16", "answer_type": "rational", "kind": "expression", "math_text": "60 / (66 - (-7) * 2 - (20 - 4))", "variable": null, "family": "expression_5op", "shape": "(/ n (- (- n (* n n)) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": 66, \"c\": -7, \"d\": 2, \"e\": 20, \"f\": 4}", "seed": "10444738217681934365", "semantic_fingerprint": "sha256:67da896bde57b6f040c858bbce24c25d742812d5a308cf641b6ef6faafa66389", "generator_version": "3.0"}
{"id": "v3_test_id_00000338", "prompt": "Compute: (83 + 36) / (6 * 4 - 0 * 15)", "solution_steps": ["Add: 83 + 36 = 119", "Multiply: 6 * 4 = 24", "Multiply: 0 * 15 = 0", "Subtract: 24 - 0 = 24", "Divide: 119 / 24 = 119/24"], "final_answer": "119/24", "answer_type": "rational", "kind": "expression", "math_text": "(83 + 36) / (6 * 4 - 0 * 15)", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (- (* n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 36, \"c\": 6, \"d\": 4, \"e\": 0, \"f\": 15}", "seed": "559551510921768798", "semantic_fingerprint": "sha256:1440bcaae083d2c800af238f37a9702dc6614cbbd3e8b261a1155dd1ffda8e0c", "generator_version": "3.0"}
{"id": "v3_test_id_00000339", "prompt": "What value of x satisfies -9(x - 67) - 575 = 5x?", "solution_steps": ["Expand: -9x + 603 - 575 = 5x", "Combine constants: -9x + 28 = 5x", "Subtract 5x from both sides: -14x + 28 = 0", "Subtract 28 from both sides: -14x = -28", "Divide both sides by -14: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 67) - 575 = 5x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 67, \"c\": 5, \"e\": -575, \"x\": 2}", "seed": "10311788338794395003", "semantic_fingerprint": "sha256:8bb8100b4e02e5e6aa56b2683705704d4a7d68312b8997d65ebeb7c5e10aa5fd", "generator_version": "3.0"}
{"id": "v3_test_id_00000340", "prompt": "Find x: 8x + 4 = 10x", "solution_steps": ["Subtract 10x from both sides: -2x + 4 = 0", "Subtract 4 from both sides: -2x = -4", "Divide both sides by -2: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x + 4 = 10x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 10, \"d\": 4, \"x\": 2}", "seed": "13324817314384174428", "semantic_fingerprint": "sha256:13b25652eb689ca868a4f671c8c7deb2abaaac8ed6b7e54de9b1145b93c4d58f", "generator_version": "3.0"}
{"id": "v3_test_id_00000341", "prompt": "What is 31 / (-5) - (-507 + (3 + 4))?", "solution_steps": ["Divide: 31 / (-5) = -31/5", "Add: 3 + 4 = 7", "Add: -507 + 7 = -500", "Subtract: -31/5 - (-500) = 2469/5"], "final_answer": "2469/5", "answer_type": "rational", "kind": "expression", "math_text": "31 / (-5) - (-507 + (3 + 4))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": -5, \"c\": -507, \"d\": 3, \"e\": 4}", "seed": "11446107066314018444", "semantic_fingerprint": "sha256:1b64d6d9221fcdc2741b10d00f66bb4c5cf402993ee6341b8193f2e0d0a83335", "generator_version": "3.0"}
{"id": "v3_test_id_00000342", "prompt": "Compute: 2 + 496", "solution_steps": ["Add: 2 + 496 = 498"], "final_answer": "498", "answer_type": "integer", "kind": "expression", "math_text": "2 + 496", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 496}", "seed": "417693735476590151", "semantic_fingerprint": "sha256:e2b27da75790b410ab748ba22c69efa17eecb198f5d4a35ad615efa3fefd9e03", "generator_version": "3.0"}
{"id": "v3_test_id_00000343", "prompt": "Find x: x = 9(x + 6) + 88", "solution_steps": ["Expand: x = 9x + 54 + 88", "Combine constants: x = 9x + 142", "Subtract 9x from both sides: -8x = 142", "Divide both sides by -8: x = -71/4"], "final_answer": "-71/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 9(x + 6) + 88", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 6, \"c\": 88}", "seed": "17883701021111846857", "semantic_fingerprint": "sha256:6fa5df5a91494f6166ea9555f888a6e4b6bf05e60947c3b2227a74dd7619c1a3", "generator_version": "3.0"}
{"id": "v3_test_id_00000344", "prompt": "What is -36 * 51 * 8?", "solution_steps": ["Multiply: -36 * 51 = -1836", "Multiply: -1836 * 8 = -14688"], "final_answer": "-14688", "answer_type": "integer", "kind": "expression", "math_text": "-36 * 51 * 8", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": 51, \"c\": 8}", "seed": "16683016248450638860", "semantic_fingerprint": "sha256:1f44e91a0ab3dde03e54a22e7ceed0eebb7df8bd7aa5b6da6733113234db078e", "generator_version": "3.0"}
{"id": "v3_test_id_00000345", "prompt": "Evaluate: (-6 / 19 / (-1) + 53) * (37 + 3)", "solution_steps": ["Divide: -6 / 19 = -6/19", "Divide: (-6/19) / (-1) = 6/19", "Add: 6/19 + 53 = 1013/19", "Add: 37 + 3 = 40", "Multiply: (1013/19) * 40 = 40520/19"], "final_answer": "40520/19", "answer_type": "rational", "kind": "expression", "math_text": "(-6 / 19 / (-1) + 53) * (37 + 3)", "variable": null, "family": "expression_5op", "shape": "(* (+ (/ (/ n n) n) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 19, \"c\": -1, \"d\": 53, \"e\": 37, \"f\": 3}", "seed": "14461248536199655930", "semantic_fingerprint": "sha256:795598c4673e094faaf908cfd0d7059a38cd20390a679d6bd860a4c3b6f133e1", "generator_version": "3.0"}
{"id": "v3_test_id_00000346", "prompt": "Evaluate: 14 / (-8) / (9 / (-613))", "solution_steps": ["Divide: 14 / (-8) = -7/4", "Divide: 9 / (-613) = -9/613", "Divide: (-7/4) / (-9/613) = 4291/36"], "final_answer": "4291/36", "answer_type": "rational", "kind": "expression", "math_text": "14 / (-8) / (9 / (-613))", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": -8, \"c\": 9, \"d\": -613}", "seed": "15422524792530055406", "semantic_fingerprint": "sha256:68d36fb15b7c43da6b7e5977490776c95a9d446f7d89328946089c919ee4ee33", "generator_version": "3.0"}
{"id": "v3_test_id_00000347", "prompt": "Evaluate: (900 + 680 + 65 * (-6)) / (9 * (-39))", "solution_steps": ["Add: 900 + 680 = 1580", "Multiply: 65 * (-6) = -390", "Add: 1580 + (-390) = 1190", "Multiply: 9 * (-39) = -351", "Divide: 1190 / (-351) = -1190/351"], "final_answer": "-1190/351", "answer_type": "rational", "kind": "expression", "math_text": "(900 + 680 + 65 * (-6)) / (9 * (-39))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (+ n n) (* n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 900, \"b\": 680, \"c\": 65, \"d\": -6, \"e\": 9, \"f\": -39}", "seed": "17344082600148038842", "semantic_fingerprint": "sha256:6d451170a73f439f22e847a1510c0f2f94134c8e6e15cd9849c7a7d2d5cece92", "generator_version": "3.0"}
{"id": "v3_test_id_00000348", "prompt": "Compute: -94 / (-893) + 94 / (-2) - (-416 + 24)", "solution_steps": ["Divide: -94 / (-893) = 2/19", "Divide: 94 / (-2) = -47", "Add: 2/19 + (-47) = -891/19", "Add: -416 + 24 = -392", "Subtract: -891/19 - (-392) = 6557/19"], "final_answer": "6557/19", "answer_type": "rational", "kind": "expression", "math_text": "-94 / (-893) + 94 / (-2) - (-416 + 24)", "variable": null, "family": "expression_5op", "shape": "(- (+ (/ n n) (/ n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": -893, \"c\": 94, \"d\": -2, \"e\": -416, \"f\": 24}", "seed": "3620595105153370840", "semantic_fingerprint": "sha256:c618c4d0e19e41facef47fe5bdfde58b20905e9571a6bd7bed70845a2de49233", "generator_version": "3.0"}
{"id": "v3_test_id_00000349", "prompt": "Find x: 10x - 8 = 6(x - 1) + 933", "solution_steps": ["Expand: 10x - 8 = 6x - 6 + 933", "Combine constants: 10x - 8 = 6x + 927", "Subtract 6x from both sides: 4x - 8 = 927", "Add 8 to both sides: 4x = 935", "Divide both sides by 4: x = 935/4"], "final_answer": "935/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x - 8 = 6(x - 1) + 933", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 8, \"c\": 6, \"d\": 1, \"e\": 933}", "seed": "5175374794288934800", "semantic_fingerprint": "sha256:7ee11fc5e60d7ff2617537415f791afa62f3f2e647d1ffe45c31a995d40fd0b8", "generator_version": "3.0"}
{"id": "v3_test_id_00000350", "prompt": "What value of x satisfies x - 1 = 2(x + 34) - 6?", "solution_steps": ["Expand: x - 1 = 2x + 68 - 6", "Combine constants: x - 1 = 2x + 62", "Subtract 2x from both sides: -x - 1 = 62", "Add 1 to both sides: -x = 63", "Divide both sides by -1: x = -63"], "final_answer": "-63", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1 = 2(x + 34) - 6", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 2, \"c\": 34, \"d\": 6}", "seed": "3449983707401146660", "semantic_fingerprint": "sha256:6b8258c1a5f57ee33a84b69466a6e5bef224cd47bab773d6f9cb71ec3b2cd2a7", "generator_version": "3.0"}
{"id": "v3_test_id_00000351", "prompt": "Compute: -97 / 11", "solution_steps": ["Divide: -97 / 11 = -97/11"], "final_answer": "-97/11", "answer_type": "rational", "kind": "expression", "math_text": "-97 / 11", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": 11}", "seed": "8248238803704313535", "semantic_fingerprint": "sha256:f55dca19644df2bc41f4279e5684ddc25ad954cfa42be9a844e7aa6c0803ead8", "generator_version": "3.0"}
{"id": "v3_test_id_00000352", "prompt": "What value of x satisfies -12x = 6x?", "solution_steps": ["Subtract 6x from both sides: -18x = 0", "Divide both sides by -18: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x = 6x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 6}", "seed": "10035262210984504439", "semantic_fingerprint": "sha256:73c1a4e3906aae60069784566b9eae12da6d9943e07b9055f561f2babff65d39", "generator_version": "3.0"}
{"id": "v3_test_id_00000353", "prompt": "Find x: -6(x - 8) + 6 = x", "solution_steps": ["Expand: -6x + 48 + 6 = x", "Combine constants: -6x + 54 = x", "Subtract x from both sides: -7x + 54 = 0", "Subtract 54 from both sides: -7x = -54", "Divide both sides by -7: x = 54/7"], "final_answer": "54/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x - 8) + 6 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 8, \"c\": 6}", "seed": "3591573016936142895", "semantic_fingerprint": "sha256:391fbe9e7cc4bb257147aa1598fbe0c1f1de16314a98c3c4886ac75019c63117", "generator_version": "3.0"}
{"id": "v3_test_id_00000354", "prompt": "Calculate: -67 + 71 * (-68 + 5)", "solution_steps": ["Add: -68 + 5 = -63", "Multiply: 71 * (-63) = -4473", "Add: -67 + (-4473) = -4540"], "final_answer": "-4540", "answer_type": "integer", "kind": "expression", "math_text": "-67 + 71 * (-68 + 5)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": 71, \"c\": -68, \"d\": 5}", "seed": "9384245918218311852", "semantic_fingerprint": "sha256:ec82556b7ef2d7dc6892520b2e27e5ae2c7a72507e944c328e589c18d119da35", "generator_version": "3.0"}
{"id": "v3_test_id_00000355", "prompt": "Calculate: 44 + (-9 + (-32 + 33))", "solution_steps": ["Add: -32 + 33 = 1", "Add: -9 + 1 = -8", "Add: 44 + (-8) = 36"], "final_answer": "36", "answer_type": "integer", "kind": "expression", "math_text": "44 + (-9 + (-32 + 33))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": -9, \"c\": -32, \"d\": 33}", "seed": "6807548062425335685", "semantic_fingerprint": "sha256:0075e32906e7767327c9c6992f4ee5ff660ba337c5c4374a4aeb0cd16dc72549", "generator_version": "3.0"}
{"id": "v3_test_id_00000356", "prompt": "Calculate: -94 + (-44) + (-118)", "solution_steps": ["Add: -94 + (-44) = -138", "Add: -138 + (-118) = -256"], "final_answer": "-256", "answer_type": "integer", "kind": "expression", "math_text": "-94 + (-44) + (-118)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": -44, \"c\": -118}", "seed": "11664768772796956428", "semantic_fingerprint": "sha256:528b03ba7688a534d68b0ac92b5ea569eb52b0d73e52f8384703762205ef287d", "generator_version": "3.0"}
{"id": "v3_test_id_00000357", "prompt": "Evaluate: -2 - (7 - (-216) + 6)", "solution_steps": ["Subtract: 7 - (-216) = 223", "Add: 223 + 6 = 229", "Subtract: -2 - 229 = -231"], "final_answer": "-231", "answer_type": "integer", "kind": "expression", "math_text": "-2 - (7 - (-216) + 6)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 7, \"c\": -216, \"d\": 6}", "seed": "13059443200621728157", "semantic_fingerprint": "sha256:1041648da3de8618cecb5976aace5a2f76e7f1a1702315baa37d6b3830c1376f", "generator_version": "3.0"}
{"id": "v3_test_id_00000358", "prompt": "Find x: 10x + 403 = 54", "solution_steps": ["Subtract 403 from both sides: 10x = -349", "Divide both sides by 10: x = -349/10"], "final_answer": "-349/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x + 403 = 54", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 403, \"c\": 54}", "seed": "11897999693600339054", "semantic_fingerprint": "sha256:6226999a71f9bed66880be1994d813c366d7a3f1225603321141567735294202", "generator_version": "3.0"}
{"id": "v3_test_id_00000359", "prompt": "Solve the equation 9(x - 26) - 9 = -12(x + 33) + 9 for x.", "solution_steps": ["Expand: 9x - 234 - 9 = -12(x + 33) + 9", "Expand: 9x - 234 - 9 = -12x - 396 + 9", "Combine constants: 9x - 243 = -12x - 396 + 9", "Combine constants: 9x - 243 = -12x - 387", "Add 12x to both sides: 21x - 243 = -387", "Add 243 to both sides: 21x = -144", "Divide both sides by 21: x = -48/7"], "final_answer": "-48/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 26) - 9 = -12(x + 33) + 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 26, \"c\": 9, \"d\": -12, \"e\": 33, \"f\": 9}", "seed": "9905650644240849199", "semantic_fingerprint": "sha256:ef35af07a54488656d3816806f338bab529a2b36a0ddce9020adc401927aa02e", "generator_version": "3.0"}
{"id": "v3_test_id_00000360", "prompt": "Compute: (269 + 636 - (-9) * (-549)) / (495 + 51)", "solution_steps": ["Add: 269 + 636 = 905", "Multiply: -9 * (-549) = 4941", "Subtract: 905 - 4941 = -4036", "Add: 495 + 51 = 546", "Divide: -4036 / 546 = -2018/273"], "final_answer": "-2018/273", "answer_type": "rational", "kind": "expression", "math_text": "(269 + 636 - (-9) * (-549)) / (495 + 51)", "variable": null, "family": "expression_5op", "shape": "(/ (- (+ n n) (* n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 269, \"b\": 636, \"c\": -9, \"d\": -549, \"e\": 495, \"f\": 51}", "seed": "5252883830224620092", "semantic_fingerprint": "sha256:d33f77a5494c3c01d88a5525361fe6bef487f927bd57531941182620a6659362", "generator_version": "3.0"}
{"id": "v3_test_id_00000361", "prompt": "Solve for x: 5(x - 8) - 400 = x - 364", "solution_steps": ["Expand: 5x - 40 - 400 = x - 364", "Combine constants: 5x - 440 = x - 364", "Subtract x from both sides: 4x - 440 = -364", "Add 440 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 - 8) - 400 = x - 364", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 8, \"c\": 400, \"e\": -364, \"x\": 19}", "seed": "2939323926211732704", "semantic_fingerprint": "sha256:9e481a498c21cd2e29d8ede923777bb8fad7ee7a088be5e9a5f402cfe780da15", "generator_version": "3.0"}
{"id": "v3_test_id_00000362", "prompt": "Calculate: 15 + (-86)", "solution_steps": ["Add: 15 + (-86) = -71"], "final_answer": "-71", "answer_type": "integer", "kind": "expression", "math_text": "15 + (-86)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": -86}", "seed": "13816874561175545319", "semantic_fingerprint": "sha256:574c479363e24045b9940264fd8c00131175b1d96969cf07aca4a312ab551f55", "generator_version": "3.0"}
{"id": "v3_test_id_00000363", "prompt": "Find x: x + 737 = 732", "solution_steps": ["Subtract 737 from both sides: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 737 = 732", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 737, \"c\": 732, \"x\": -5}", "seed": "13935052134344885605", "semantic_fingerprint": "sha256:1a70e9a38f4cb6c45b210bad7bc65a79dfab02ec7d941813d34cb865e88613cf", "generator_version": "3.0"}
{"id": "v3_test_id_00000364", "prompt": "What value of x satisfies 12x + 2 = x + 101?", "solution_steps": ["Subtract x from both sides: 11x + 2 = 101", "Subtract 2 from both sides: 11x = 99", "Divide both sides by 11: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 2 = x + 101", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"d\": 101, \"x\": 9}", "seed": "18357003738846207174", "semantic_fingerprint": "sha256:a7291c4004d07a2561621d875dea1945f6e654e9ce5fe22ad4406bef022ba737", "generator_version": "3.0"}
{"id": "v3_test_id_00000365", "prompt": "Solve for x: 4(x - 43) - 2 = x - 150", "solution_steps": ["Expand: 4x - 172 - 2 = x - 150", "Combine constants: 4x - 174 = x - 150", "Subtract x from both sides: 3x - 174 = -150", "Add 174 to both sides: 3x = 24", "Divide both sides by 3: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 43) - 2 = x - 150", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 43, \"c\": 2, \"e\": -150, \"x\": 8}", "seed": "1556791252446890126", "semantic_fingerprint": "sha256:b243a2d9277d3974be4a2381f3e6e238886326ff7883c1bd7f1e9aa3eb02e1f3", "generator_version": "3.0"}
{"id": "v3_test_id_00000366", "prompt": "Evaluate: (36 + (-2)) / (799 * (-90))", "solution_steps": ["Add: 36 + (-2) = 34", "Multiply: 799 * (-90) = -71910", "Divide: 34 / (-71910) = -1/2115"], "final_answer": "-1/2115", "answer_type": "rational", "kind": "expression", "math_text": "(36 + (-2)) / (799 * (-90))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": -2, \"c\": 799, \"d\": -90}", "seed": "7000822047731971548", "semantic_fingerprint": "sha256:7e32ab44fb43f681afc4831219f9e6cb01bd0cc424e02f6e2b9c184ec94aa6fa", "generator_version": "3.0"}
{"id": "v3_test_id_00000367", "prompt": "What value of x satisfies 11x = 5x?", "solution_steps": ["Subtract 5x from both sides: 6x = 0", "Divide both sides by 6: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = 5x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5}", "seed": "14074449365112995257", "semantic_fingerprint": "sha256:ec5a98ca6f5631b9a22862a129bb58a9d0e2102148d18590c50d97b922a9609a", "generator_version": "3.0"}
{"id": "v3_test_id_00000368", "prompt": "Compute: -9 - (-12) / 852", "solution_steps": ["Divide: -12 / 852 = -1/71", "Subtract: -9 - (-1/71) = -638/71"], "final_answer": "-638/71", "answer_type": "rational", "kind": "expression", "math_text": "-9 - (-12) / 852", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -12, \"c\": 852}", "seed": "18197094001039087829", "semantic_fingerprint": "sha256:28eaffc30e31f48d9d21c46a8375c2c981471e0a11f3b224a8eb7e133bb6a700", "generator_version": "3.0"}
{"id": "v3_test_id_00000369", "prompt": "What is 9 * (6 / (-427))?", "solution_steps": ["Divide: 6 / (-427) = -6/427", "Multiply: 9 * (-6/427) = -54/427"], "final_answer": "-54/427", "answer_type": "rational", "kind": "expression", "math_text": "9 * (6 / (-427))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 6, \"c\": -427}", "seed": "18206794695071646207", "semantic_fingerprint": "sha256:41fa4e319777f06eac55516cbd9c7334ddbdc956adefaefc4c842f6964095807", "generator_version": "3.0"}
{"id": "v3_test_id_00000370", "prompt": "Evaluate: (18 - 359) * (-217 + 3)", "solution_steps": ["Subtract: 18 - 359 = -341", "Add: -217 + 3 = -214", "Multiply: -341 * (-214) = 72974"], "final_answer": "72974", "answer_type": "integer", "kind": "expression", "math_text": "(18 - 359) * (-217 + 3)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": 359, \"c\": -217, \"d\": 3}", "seed": "1473742078066759064", "semantic_fingerprint": "sha256:c9bb8f2007730fffa87934289102c2530cc9c4d5c9eab5b41ab40e4a14e7d24c", "generator_version": "3.0"}
{"id": "v3_test_id_00000371", "prompt": "Evaluate: -721 - (-340) - (-5)", "solution_steps": ["Subtract: -721 - (-340) = -381", "Subtract: -381 - (-5) = -376"], "final_answer": "-376", "answer_type": "integer", "kind": "expression", "math_text": "-721 - (-340) - (-5)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -721, \"b\": -340, \"c\": -5}", "seed": "5650555275598300335", "semantic_fingerprint": "sha256:dc10724d73b76b9a733aede51eb2ba30b5a49a0d4ff94bb3409fc76281f6e335", "generator_version": "3.0"}
{"id": "v3_test_id_00000372", "prompt": "What value of x satisfies -4(x + 76) + 733 = 3(x - 5) + 332?", "solution_steps": ["Expand: -4x - 304 + 733 = 3(x - 5) + 332", "Expand: -4x - 304 + 733 = 3x - 15 + 332", "Combine constants: -4x + 429 = 3x - 15 + 332", "Combine constants: -4x + 429 = 3x + 317", "Subtract 3x from both sides: -7x + 429 = 317", "Subtract 429 from both sides: -7x = -112", "Divide both sides by -7: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 76) + 733 = 3(x - 5) + 332", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 76, \"c\": 733, \"d\": 3, \"e\": 5, \"g\": 332, \"x\": 16}", "seed": "9761849973171347992", "semantic_fingerprint": "sha256:f01c7af8667298e4971e3d90bfafb66c0350d94ae6ed705193266c603ea727db", "generator_version": "3.0"}
{"id": "v3_test_id_00000373", "prompt": "Compute: -806 * 79 + (-986)", "solution_steps": ["Multiply: -806 * 79 = -63674", "Add: -63674 + (-986) = -64660"], "final_answer": "-64660", "answer_type": "integer", "kind": "expression", "math_text": "-806 * 79 + (-986)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -806, \"b\": 79, \"c\": -986}", "seed": "8908139008477540332", "semantic_fingerprint": "sha256:c1655fb6adbafb7e14e05618d7937e4b0aa6989d3aa9a7d3b83a064ada191fb8", "generator_version": "3.0"}
{"id": "v3_test_id_00000374", "prompt": "Find x: x = 4(x + 3) - 27", "solution_steps": ["Expand: x = 4x + 12 - 27", "Combine constants: x = 4x - 15", "Subtract 4x from both sides: -3x = -15", "Divide both sides by -3: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 4(x + 3) - 27", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 3, \"d\": -27, \"x\": 5}", "seed": "7743958816220993128", "semantic_fingerprint": "sha256:88ec0d54651c939c144d7f3be313ee3414caf092e5fc24c1d6d758d95321dffc", "generator_version": "3.0"}
{"id": "v3_test_id_00000375", "prompt": "Compute: -29 - 92", "solution_steps": ["Subtract: -29 - 92 = -121"], "final_answer": "-121", "answer_type": "integer", "kind": "expression", "math_text": "-29 - 92", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": 92}", "seed": "12815237665779572638", "semantic_fingerprint": "sha256:65853e633b1141ae487c63387eeca92b811f10b7f6963a52ea2e37f07657a30f", "generator_version": "3.0"}
{"id": "v3_test_id_00000376", "prompt": "Evaluate: (29 - (789 - 92)) * 52", "solution_steps": ["Subtract: 789 - 92 = 697", "Subtract: 29 - 697 = -668", "Multiply: -668 * 52 = -34736"], "final_answer": "-34736", "answer_type": "integer", "kind": "expression", "math_text": "(29 - (789 - 92)) * 52", "variable": null, "family": "expression_3op", "shape": "(* (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 789, \"c\": 92, \"d\": 52}", "seed": "2244976705259591703", "semantic_fingerprint": "sha256:83dbdac94c9ae68b09c52525c9a660332797f36e536a8f8fbcc204336dcb4943", "generator_version": "3.0"}
{"id": "v3_test_id_00000377", "prompt": "What is -9 * (-55) + (-7) / (-654) + (-62) * (-7)?", "solution_steps": ["Multiply: -9 * (-55) = 495", "Divide: -7 / (-654) = 7/654", "Add: 495 + 7/654 = 323737/654", "Multiply: -62 * (-7) = 434", "Add: 323737/654 + 434 = 607573/654"], "final_answer": "607573/654", "answer_type": "rational", "kind": "expression", "math_text": "-9 * (-55) + (-7) / (-654) + (-62) * (-7)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* n n) (/ n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -55, \"c\": -7, \"d\": -654, \"e\": -62, \"f\": -7}", "seed": "17877615470025777194", "semantic_fingerprint": "sha256:bded8bf6d5bfef30054fa51c5b9abd74713a6c1c584e9a912d75d5bc8ff65489", "generator_version": "3.0"}
{"id": "v3_test_id_00000378", "prompt": "What value of x satisfies x = 3x + 8?", "solution_steps": ["Subtract 3x from both sides: -2x = 8", "Divide both sides by -2: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 3x + 8", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8}", "seed": "4722745781268478388", "semantic_fingerprint": "sha256:ea219c7461df3f8bda7d920f1ee77f55fe02bbcfb56bb057235104fbb8d74157", "generator_version": "3.0"}
{"id": "v3_test_id_00000379", "prompt": "Evaluate: -4 + (84 - (-26)) * (-14)", "solution_steps": ["Subtract: 84 - (-26) = 110", "Multiply: 110 * (-14) = -1540", "Add: -4 + (-1540) = -1544"], "final_answer": "-1544", "answer_type": "integer", "kind": "expression", "math_text": "-4 + (84 - (-26)) * (-14)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 84, \"c\": -26, \"d\": -14}", "seed": "5318533110550423914", "semantic_fingerprint": "sha256:ce08abf7bcc8b6468570c5dc4a248d16a3507f56ce6a890fe5522629cb53ed19", "generator_version": "3.0"}
{"id": "v3_test_id_00000380", "prompt": "What is -86 - (-16)?", "solution_steps": ["Subtract: -86 - (-16) = -70"], "final_answer": "-70", "answer_type": "integer", "kind": "expression", "math_text": "-86 - (-16)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": -16}", "seed": "7961768819973080967", "semantic_fingerprint": "sha256:55dbc67cbad0643ac798eae6ac32c1ab0166d6f86119d6a3df8d305cc87da7bc", "generator_version": "3.0"}
{"id": "v3_test_id_00000381", "prompt": "Find x: x + 46 = 8x + 53", "solution_steps": ["Subtract 8x from both sides: -7x + 46 = 53", "Subtract 46 from both sides: -7x = 7", "Divide both sides by -7: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 46 = 8x + 53", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": 8, \"d\": 53, \"x\": -1}", "seed": "5905640508592924236", "semantic_fingerprint": "sha256:865b5fce968f35318285ae8d1493cf3587010b0805fe3463f6f59b49b952c439", "generator_version": "3.0"}
{"id": "v3_test_id_00000382", "prompt": "Find x: 5(x + 7) = 7x - 8", "solution_steps": ["Expand: 5x + 35 = 7x - 8", "Subtract 7x from both sides: -2x + 35 = -8", "Subtract 35 from both sides: -2x = -43", "Divide both sides by -2: x = 43/2"], "final_answer": "43/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 7) = 7x - 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 7, \"c\": 7, \"d\": 8}", "seed": "13632956070653740395", "semantic_fingerprint": "sha256:4e58c19c46f95b3f049c0603d16f0b4c0d4e0e4e00be79c6c250a9c8fce6b4c7", "generator_version": "3.0"}
{"id": "v3_test_id_00000383", "prompt": "Solve for x: x = 6x + 85", "solution_steps": ["Subtract 6x from both sides: -5x = 85", "Divide both sides by -5: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 6x + 85", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"c\": 85, \"x\": -17}", "seed": "10391385192853377497", "semantic_fingerprint": "sha256:3f6fe55a621c44443d51b0ee235713b4ffcd6971f4277fdf7a55d6ab2666ff89", "generator_version": "3.0"}
{"id": "v3_test_id_00000384", "prompt": "Calculate: 601 / (-5) - (-55 - (-7))", "solution_steps": ["Divide: 601 / (-5) = -601/5", "Subtract: -55 - (-7) = -48", "Subtract: -601/5 - (-48) = -361/5"], "final_answer": "-361/5", "answer_type": "rational", "kind": "expression", "math_text": "601 / (-5) - (-55 - (-7))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 601, \"b\": -5, \"c\": -55, \"d\": -7}", "seed": "17006174774950399236", "semantic_fingerprint": "sha256:c9200748b83eb518612f6b0ff7123c4632ae7522b229c80921bd4ec8b4955195", "generator_version": "3.0"}
{"id": "v3_test_id_00000385", "prompt": "Calculate: -2 - 56 + 4 / (-181) + 97", "solution_steps": ["Subtract: -2 - 56 = -58", "Divide: 4 / (-181) = -4/181", "Add: -58 + (-4/181) = -10502/181", "Add: -10502/181 + 97 = 7055/181"], "final_answer": "7055/181", "answer_type": "rational", "kind": "expression", "math_text": "-2 - 56 + 4 / (-181) + 97", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 56, \"c\": 4, \"d\": -181, \"e\": 97}", "seed": "11371550394665622897", "semantic_fingerprint": "sha256:073880b93806b2829d79037f1933af6c8578e40ad5aa1c73b6c0b03f5185a407", "generator_version": "3.0"}
{"id": "v3_test_id_00000386", "prompt": "What value of x satisfies x + 136 = -7x?", "solution_steps": ["Add 7x to both sides: 8x + 136 = 0", "Subtract 136 from both sides: 8x = -136", "Divide both sides by 8: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 136 = -7x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"c\": 136, \"x\": -17}", "seed": "2240173477467526347", "semantic_fingerprint": "sha256:4f70acecd642e413fd1fd75266a25aef2decc61947c810fe3c221a0a88cea0bd", "generator_version": "3.0"}
{"id": "v3_test_id_00000387", "prompt": "Solve for x: -2x = 12x - 6", "solution_steps": ["Subtract 12x from both sides: -14x = -6", "Divide both sides by -14: x = 3/7"], "final_answer": "3/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2x = 12x - 6", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 12, \"c\": 6}", "seed": "2372943792865714918", "semantic_fingerprint": "sha256:dd10812cf8e973feb81e6cb31e9d440b2cb42a333f0dd36d64e1db92de577182", "generator_version": "3.0"}
{"id": "v3_test_id_00000388", "prompt": "What is (107 - 33) / (-457 + 7)?", "solution_steps": ["Subtract: 107 - 33 = 74", "Add: -457 + 7 = -450", "Divide: 74 / (-450) = -37/225"], "final_answer": "-37/225", "answer_type": "rational", "kind": "expression", "math_text": "(107 - 33) / (-457 + 7)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 107, \"b\": 33, \"c\": -457, \"d\": 7}", "seed": "13352655903155300385", "semantic_fingerprint": "sha256:ca6f5aac6cf16446e6fa30718bedcd45d207610ac699ec9c933d1d286ca20d47", "generator_version": "3.0"}
{"id": "v3_test_id_00000389", "prompt": "Compute: -770 * 670", "solution_steps": ["Multiply: -770 * 670 = -515900"], "final_answer": "-515900", "answer_type": "integer", "kind": "expression", "math_text": "-770 * 670", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -770, \"b\": 670}", "seed": "17051585008442955490", "semantic_fingerprint": "sha256:57345914c1006c9a79381b2671747d9e291321dba885b164e0c0e4f6e38ea7a8", "generator_version": "3.0"}
{"id": "v3_test_id_00000390", "prompt": "Solve the equation 8(x - 2) - 9 = 12x - 13 for x.", "solution_steps": ["Expand: 8x - 16 - 9 = 12x - 13", "Combine constants: 8x - 25 = 12x - 13", "Subtract 12x from both sides: -4x - 25 = -13", "Add 25 to both sides: -4x = 12", "Divide both sides by -4: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 2) - 9 = 12x - 13", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": 9, \"d\": 12, \"f\": -13, \"x\": -3}", "seed": "12207563294992279473", "semantic_fingerprint": "sha256:f7eb4a31d7e982a0e85c1facdd5ec6e5f8ecb9531e16a30534c61ce874a18809", "generator_version": "3.0"}
{"id": "v3_test_id_00000391", "prompt": "What is 161 * (-36)?", "solution_steps": ["Multiply: 161 * (-36) = -5796"], "final_answer": "-5796", "answer_type": "integer", "kind": "expression", "math_text": "161 * (-36)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 161, \"b\": -36}", "seed": "4012466221583555143", "semantic_fingerprint": "sha256:62ff1e84fa37981ca12130372a8d35bdac9515087e536ac7574f0d8ee85eace8", "generator_version": "3.0"}
{"id": "v3_test_id_00000392", "prompt": "Solve the equation -10x = x + 132 for x.", "solution_steps": ["Subtract x from both sides: -11x = 132", "Divide both sides by -11: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x = x + 132", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"c\": 132, \"x\": -12}", "seed": "9389056484749273967", "semantic_fingerprint": "sha256:6b1ddd89cb87d3380964c2988474c103a53888c3fa9f1421d59ee9aa9aef7bb6", "generator_version": "3.0"}
{"id": "v3_test_id_00000393", "prompt": "Evaluate: -26 * (-559 / 36) + 6", "solution_steps": ["Divide: -559 / 36 = -559/36", "Multiply: -26 * (-559/36) = 7267/18", "Add: 7267/18 + 6 = 7375/18"], "final_answer": "7375/18", "answer_type": "rational", "kind": "expression", "math_text": "-26 * (-559 / 36) + 6", "variable": null, "family": "expression_3op", "shape": "(+ (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": -559, \"c\": 36, \"d\": 6}", "seed": "13379712687753669317", "semantic_fingerprint": "sha256:2d8375ad8d216e37f6412681303cc534f4bfea535aa8c02a52db16a2acf68abe", "generator_version": "3.0"}
{"id": "v3_test_id_00000394", "prompt": "Calculate: -110 - (-4)", "solution_steps": ["Subtract: -110 - (-4) = -106"], "final_answer": "-106", "answer_type": "integer", "kind": "expression", "math_text": "-110 - (-4)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -110, \"b\": -4}", "seed": "14107534982615982015", "semantic_fingerprint": "sha256:d4bba9ab5003787a323c4a97ed182b7e2d930e85afe6aa7afd098b2df0b8b4b8", "generator_version": "3.0"}
{"id": "v3_test_id_00000395", "prompt": "Evaluate: 847 - (-209 - (2 + 69)) - (-112)", "solution_steps": ["Add: 2 + 69 = 71", "Subtract: -209 - 71 = -280", "Subtract: 847 - (-280) = 1127", "Subtract: 1127 - (-112) = 1239"], "final_answer": "1239", "answer_type": "integer", "kind": "expression", "math_text": "847 - (-209 - (2 + 69)) - (-112)", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 847, \"b\": -209, \"c\": 2, \"d\": 69, \"e\": -112}", "seed": "4734993448060708355", "semantic_fingerprint": "sha256:190803a8dc01941a6b731eaa20699b206e4549852694ca4e69102795b6ce783f", "generator_version": "3.0"}
{"id": "v3_test_id_00000396", "prompt": "Calculate: 8 / (-98) * (-967) + (-2)", "solution_steps": ["Divide: 8 / (-98) = -4/49", "Multiply: (-4/49) * (-967) = 3868/49", "Add: 3868/49 + (-2) = 3770/49"], "final_answer": "3770/49", "answer_type": "rational", "kind": "expression", "math_text": "8 / (-98) * (-967) + (-2)", "variable": null, "family": "expression_3op", "shape": "(+ (* (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -98, \"c\": -967, \"d\": -2}", "seed": "14350782085000269186", "semantic_fingerprint": "sha256:7b4c5ae86b347a20fcd637a6de7dc2aab42314df2dccebdfd84df87063eeae41", "generator_version": "3.0"}
{"id": "v3_test_id_00000397", "prompt": "Evaluate: -80 * (82 - (-499)) / (0 + (-23))", "solution_steps": ["Subtract: 82 - (-499) = 581", "Multiply: -80 * 581 = -46480", "Add: 0 + (-23) = -23", "Divide: -46480 / (-23) = 46480/23"], "final_answer": "46480/23", "answer_type": "rational", "kind": "expression", "math_text": "-80 * (82 - (-499)) / (0 + (-23))", "variable": null, "family": "expression_4op", "shape": "(/ (* n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": 82, \"c\": -499, \"d\": 0, \"e\": -23}", "seed": "14244336528090024619", "semantic_fingerprint": "sha256:189a37782dfbe4b100f8c6417326b21c7008fd6d832404d3597b8ad03c30c5d5", "generator_version": "3.0"}
{"id": "v3_test_id_00000398", "prompt": "Evaluate: 9 * (-293 + 0)", "solution_steps": ["Add: -293 + 0 = -293", "Multiply: 9 * (-293) = -2637"], "final_answer": "-2637", "answer_type": "integer", "kind": "expression", "math_text": "9 * (-293 + 0)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -293, \"c\": 0}", "seed": "12460340157947735586", "semantic_fingerprint": "sha256:f8b8ad7578d0e14a025ab5c91d3f0d2f4546444c734b113c1e2c72f9a4dbc101", "generator_version": "3.0"}
{"id": "v3_test_id_00000399", "prompt": "What is 49 + 40 / (-4)?", "solution_steps": ["Divide: 40 / (-4) = -10", "Add: 49 + (-10) = 39"], "final_answer": "39", "answer_type": "integer", "kind": "expression", "math_text": "49 + 40 / (-4)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": 40, \"c\": -4}", "seed": "9664079737082176473", "semantic_fingerprint": "sha256:9b3670152925c639721638978c48382ae1cf2b39c4511070710a409480a96220", "generator_version": "3.0"}
{"id": "v3_test_id_00000400", "prompt": "What value of x satisfies 4x = 12x?", "solution_steps": ["Subtract 12x from both sides: -8x = 0", "Divide both sides by -8: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = 12x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 12}", "seed": "14453213205052067680", "semantic_fingerprint": "sha256:6bac3595f599b1f56810e2a7cc2bf29ab0626857025bd92f641d8602b8f5335c", "generator_version": "3.0"}
{"id": "v3_test_id_00000401", "prompt": "Find x: 4(x - 7) - 576 = -3x - 541", "solution_steps": ["Expand: 4x - 28 - 576 = -3x - 541", "Combine constants: 4x - 604 = -3x - 541", "Add 3x to both sides: 7x - 604 = -541", "Add 604 to both sides: 7x = 63", "Divide both sides by 7: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 7) - 576 = -3x - 541", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"c\": 576, \"d\": -3, \"f\": -541, \"x\": 9}", "seed": "6463225235517661132", "semantic_fingerprint": "sha256:4fcdefb2ea6f4cd7f862870c364c706704ffecd43fe112a14212dedd701262d0", "generator_version": "3.0"}
{"id": "v3_test_id_00000402", "prompt": "Solve the equation -5(x - 29) = x for x.", "solution_steps": ["Expand: -5x + 145 = x", "Subtract x from both sides: -6x + 145 = 0", "Subtract 145 from both sides: -6x = -145", "Divide both sides by -6: x = 145/6"], "final_answer": "145/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 29) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 29}", "seed": "10036539586460686653", "semantic_fingerprint": "sha256:169a764682f8e3b75b4b64b46ccc66efc97eaa741b626883488ad6420ab58521", "generator_version": "3.0"}
{"id": "v3_test_id_00000403", "prompt": "What is -11 / (-51 * (-6))?", "solution_steps": ["Multiply: -51 * (-6) = 306", "Divide: -11 / 306 = -11/306"], "final_answer": "-11/306", "answer_type": "rational", "kind": "expression", "math_text": "-11 / (-51 * (-6))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": -51, \"c\": -6}", "seed": "10988499307268513804", "semantic_fingerprint": "sha256:b72262bd6e1df85956508a0b8b8cbb6ec88ada2323d225beef3155e23f1df4d7", "generator_version": "3.0"}
{"id": "v3_test_id_00000404", "prompt": "What is -24 + (-613 - 9) / 8?", "solution_steps": ["Subtract: -613 - 9 = -622", "Divide: -622 / 8 = -311/4", "Add: -24 + (-311/4) = -407/4"], "final_answer": "-407/4", "answer_type": "rational", "kind": "expression", "math_text": "-24 + (-613 - 9) / 8", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": -613, \"c\": 9, \"d\": 8}", "seed": "137734733420994852", "semantic_fingerprint": "sha256:0edc813af1568d5da0ceb8d5825f914defb8d0ba59134afdbd1e28c4cfa2d017", "generator_version": "3.0"}
{"id": "v3_test_id_00000405", "prompt": "Compute: -4 + (883 - 46)", "solution_steps": ["Subtract: 883 - 46 = 837", "Add: -4 + 837 = 833"], "final_answer": "833", "answer_type": "integer", "kind": "expression", "math_text": "-4 + (883 - 46)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 883, \"c\": 46}", "seed": "10663238486990070532", "semantic_fingerprint": "sha256:e9855815bb9a24594e0daba6c2c065a0709d41f53dfe68f494d2f27a5659f531", "generator_version": "3.0"}
{"id": "v3_test_id_00000406", "prompt": "What is -5 + (-40 + 347)?", "solution_steps": ["Add: -40 + 347 = 307", "Add: -5 + 307 = 302"], "final_answer": "302", "answer_type": "integer", "kind": "expression", "math_text": "-5 + (-40 + 347)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -40, \"c\": 347}", "seed": "2668784970791293591", "semantic_fingerprint": "sha256:f1a17b4199545dab46f9f4fe9714696ae4e7ebd5bdea93487b864fcc9ed71e66", "generator_version": "3.0"}
{"id": "v3_test_id_00000407", "prompt": "Evaluate: 576 + (-3 - 3)", "solution_steps": ["Subtract: -3 - 3 = -6", "Add: 576 + (-6) = 570"], "final_answer": "570", "answer_type": "integer", "kind": "expression", "math_text": "576 + (-3 - 3)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 576, \"b\": -3, \"c\": 3}", "seed": "3019580737710498497", "semantic_fingerprint": "sha256:00f5c98aeebff9666f68c4fac69e690ba43b20507ef44527a77a32748be9a060", "generator_version": "3.0"}
{"id": "v3_test_id_00000408", "prompt": "Find x: -12(x + 3) = 12x - 36", "solution_steps": ["Expand: -12x - 36 = 12x - 36", "Subtract 12x from both sides: -24x - 36 = -36", "Add 36 to both sides: -24x = 0", "Divide both sides by -24: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 3) = 12x - 36", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 3, \"c\": 12, \"e\": -36, \"x\": 0}", "seed": "11973602193646036131", "semantic_fingerprint": "sha256:d4df3a5e3ce9a9786612946b45012d7e8bea4ba42919c0553ab5a2bb46ae50f6", "generator_version": "3.0"}
{"id": "v3_test_id_00000409", "prompt": "Calculate: -4 * 4", "solution_steps": ["Multiply: -4 * 4 = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "expression", "math_text": "-4 * 4", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 4}", "seed": "13274207350486766514", "semantic_fingerprint": "sha256:87d34d320d041992a69dfa5684bc7c38c33322e9583e6b721a09aaa562f4f0ff", "generator_version": "3.0"}
{"id": "v3_test_id_00000410", "prompt": "Calculate: 46 / (-796 / 1)", "solution_steps": ["Divide: -796 / 1 = -796", "Divide: 46 / (-796) = -23/398"], "final_answer": "-23/398", "answer_type": "rational", "kind": "expression", "math_text": "46 / (-796 / 1)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": -796, \"c\": 1}", "seed": "4618092280258625223", "semantic_fingerprint": "sha256:c2eeb03eb8e5c14b03b19fc98317bb8cc2b8235a0bf9319b06cab6e74a9126bf", "generator_version": "3.0"}
{"id": "v3_test_id_00000411", "prompt": "Calculate: 1 + (406 - 200)", "solution_steps": ["Subtract: 406 - 200 = 206", "Add: 1 + 206 = 207"], "final_answer": "207", "answer_type": "integer", "kind": "expression", "math_text": "1 + (406 - 200)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 406, \"c\": 200}", "seed": "9390687145872698020", "semantic_fingerprint": "sha256:3288e4406bf9ae26e5334f8a41a55c7cc8ffabb306a15993c7031f04f62209b5", "generator_version": "3.0"}
{"id": "v3_test_id_00000412", "prompt": "What is (18 - (-358)) / 7?", "solution_steps": ["Subtract: 18 - (-358) = 376", "Divide: 376 / 7 = 376/7"], "final_answer": "376/7", "answer_type": "rational", "kind": "expression", "math_text": "(18 - (-358)) / 7", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": -358, \"c\": 7}", "seed": "9201846341291071936", "semantic_fingerprint": "sha256:30c2ebaecfd97fc5d5cc93b5d3fc6a1feffc75a42a8c849cd9448c301a3b19bf", "generator_version": "3.0"}
{"id": "v3_test_id_00000413", "prompt": "What value of x satisfies 10(x - 7) - 90 = x - 106?", "solution_steps": ["Expand: 10x - 70 - 90 = x - 106", "Combine constants: 10x - 160 = x - 106", "Subtract x from both sides: 9x - 160 = -106", "Add 160 to both sides: 9x = 54", "Divide both sides by 9: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 7) - 90 = x - 106", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 7, \"c\": 90, \"e\": -106, \"x\": 6}", "seed": "3127879575859245438", "semantic_fingerprint": "sha256:c4b4bb5e6fb1559c0bc3a3593fef725f1501ef35232500588caf5da1b55c600d", "generator_version": "3.0"}
{"id": "v3_test_id_00000414", "prompt": "What is -38 - (-5)?", "solution_steps": ["Subtract: -38 - (-5) = -33"], "final_answer": "-33", "answer_type": "integer", "kind": "expression", "math_text": "-38 - (-5)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": -5}", "seed": "1771172381706136854", "semantic_fingerprint": "sha256:b8d47737abc7d3dfc34456fd5af483eb69cc053f3b7c5924758fe836997ecee7", "generator_version": "3.0"}
{"id": "v3_test_id_00000415", "prompt": "Compute: 6 / (-295) * 52", "solution_steps": ["Divide: 6 / (-295) = -6/295", "Multiply: (-6/295) * 52 = -312/295"], "final_answer": "-312/295", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-295) * 52", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -295, \"c\": 52}", "seed": "16147822553683860817", "semantic_fingerprint": "sha256:7545e2bf6ebed74c686884374712f435af8591a3cf3b1223706dd538f311881c", "generator_version": "3.0"}
{"id": "v3_test_id_00000416", "prompt": "Calculate: (0 + (42 + (-6))) / (-742 - (-19))", "solution_steps": ["Add: 42 + (-6) = 36", "Add: 0 + 36 = 36", "Subtract: -742 - (-19) = -723", "Divide: 36 / (-723) = -12/241"], "final_answer": "-12/241", "answer_type": "rational", "kind": "expression", "math_text": "(0 + (42 + (-6))) / (-742 - (-19))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 42, \"c\": -6, \"d\": -742, \"e\": -19}", "seed": "6806858726347295648", "semantic_fingerprint": "sha256:2f281ae6bb0126b9dfe5aa16ecbacae85a9fb9e90ad89f9f113d72fa712484da", "generator_version": "3.0"}
{"id": "v3_test_id_00000417", "prompt": "What is -4 + (-4 + 8)?", "solution_steps": ["Add: -4 + 8 = 4", "Add: -4 + 4 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-4 + (-4 + 8)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -4, \"c\": 8}", "seed": "8051528064880813680", "semantic_fingerprint": "sha256:26ac83584cf8f6e57e36e80fcf7a0b478b38b8c56180ae8fd89a82b37fb4891d", "generator_version": "3.0"}
{"id": "v3_test_id_00000418", "prompt": "Evaluate: -2 / 46 * (-3) - 991", "solution_steps": ["Divide: -2 / 46 = -1/23", "Multiply: (-1/23) * (-3) = 3/23", "Subtract: 3/23 - 991 = -22790/23"], "final_answer": "-22790/23", "answer_type": "rational", "kind": "expression", "math_text": "-2 / 46 * (-3) - 991", "variable": null, "family": "expression_3op", "shape": "(- (* (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 46, \"c\": -3, \"d\": 991}", "seed": "17419010074361954782", "semantic_fingerprint": "sha256:c3d29b64b5fa59e92b8430b000d1ed5f1c9f99fe0ca27268fc018eaefe9ebe86", "generator_version": "3.0"}
{"id": "v3_test_id_00000419", "prompt": "Evaluate: (-21 + (-81) * (-1)) / (-50)", "solution_steps": ["Multiply: -81 * (-1) = 81", "Add: -21 + 81 = 60", "Divide: 60 / (-50) = -6/5"], "final_answer": "-6/5", "answer_type": "rational", "kind": "expression", "math_text": "(-21 + (-81) * (-1)) / (-50)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": -81, \"c\": -1, \"d\": -50}", "seed": "15155987243247681546", "semantic_fingerprint": "sha256:ad47bf5a87d826c08fafd0f04d6354fc7e74bf659993c20c7e0e193e8209aacc", "generator_version": "3.0"}
{"id": "v3_test_id_00000420", "prompt": "Evaluate: (7 + (-9) / (-5)) * 240", "solution_steps": ["Divide: -9 / (-5) = 9/5", "Add: 7 + 9/5 = 44/5", "Multiply: (44/5) * 240 = 2112"], "final_answer": "2112", "answer_type": "integer", "kind": "expression", "math_text": "(7 + (-9) / (-5)) * 240", "variable": null, "family": "expression_3op", "shape": "(* (+ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -9, \"c\": -5, \"d\": 240}", "seed": "7782643829007996358", "semantic_fingerprint": "sha256:3d198c9b461579a8ec83d45a405c3170e56fda47a599b940a512fefe29b08d63", "generator_version": "3.0"}
{"id": "v3_test_id_00000421", "prompt": "What is 429 - (-87 - (-318))?", "solution_steps": ["Subtract: -87 - (-318) = 231", "Subtract: 429 - 231 = 198"], "final_answer": "198", "answer_type": "integer", "kind": "expression", "math_text": "429 - (-87 - (-318))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 429, \"b\": -87, \"c\": -318}", "seed": "1118706805576879010", "semantic_fingerprint": "sha256:080e2cab4446b6dcdf5c2be9da97dca0a84d48f7858aba7683ffd2a030251955", "generator_version": "3.0"}
{"id": "v3_test_id_00000422", "prompt": "Compute: -7 / 63", "solution_steps": ["Divide: -7 / 63 = -1/9"], "final_answer": "-1/9", "answer_type": "rational", "kind": "expression", "math_text": "-7 / 63", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 63}", "seed": "534406085311502839", "semantic_fingerprint": "sha256:77b9d9c3d204af640cd2750a79b33c4ecc5d66316ed091383d507599c607917a", "generator_version": "3.0"}
{"id": "v3_test_id_00000423", "prompt": "Compute: -85 - 74 - (-340) * (-1)", "solution_steps": ["Subtract: -85 - 74 = -159", "Multiply: -340 * (-1) = 340", "Subtract: -159 - 340 = -499"], "final_answer": "-499", "answer_type": "integer", "kind": "expression", "math_text": "-85 - 74 - (-340) * (-1)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": 74, \"c\": -340, \"d\": -1}", "seed": "2401851003472574235", "semantic_fingerprint": "sha256:91ea52ad9f854a6deb481eca496a51ab22cb114da018cb9d9e806979c0c01e28", "generator_version": "3.0"}
{"id": "v3_test_id_00000424", "prompt": "What is 10 / (-8 / (-51 + (-66))) + (-31)?", "solution_steps": ["Add: -51 + (-66) = -117", "Divide: -8 / (-117) = 8/117", "Divide: 10 / (8/117) = 585/4", "Add: 585/4 + (-31) = 461/4"], "final_answer": "461/4", "answer_type": "rational", "kind": "expression", "math_text": "10 / (-8 / (-51 + (-66))) + (-31)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (/ n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -8, \"c\": -51, \"d\": -66, \"e\": -31}", "seed": "6252039190621765673", "semantic_fingerprint": "sha256:8fbd6951bd78a9bb7530a0cf49d2ab7a4f3860729a5391b30adc59855b50d763", "generator_version": "3.0"}
{"id": "v3_test_id_00000425", "prompt": "Calculate: 0 * ((-919 - 23) / (-69))", "solution_steps": ["Subtract: -919 - 23 = -942", "Divide: -942 / (-69) = 314/23", "Multiply: 0 * (314/23) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * ((-919 - 23) / (-69))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -919, \"c\": 23, \"d\": -69}", "seed": "9807092424388593290", "semantic_fingerprint": "sha256:8a2c52a69b2d59b49cc3b4674082a60c45aa903b0aa4b18bdf11f00e2c195b32", "generator_version": "3.0"}
{"id": "v3_test_id_00000426", "prompt": "Solve the equation 6(x - 480) + 74 = 4(x - 472) - 68 for x.", "solution_steps": ["Expand: 6x - 2880 + 74 = 4(x - 472) - 68", "Expand: 6x - 2880 + 74 = 4x - 1888 - 68", "Combine constants: 6x - 2806 = 4x - 1888 - 68", "Combine constants: 6x - 2806 = 4x - 1956", "Subtract 4x from both sides: 2x - 2806 = -1956", "Add 2806 to both sides: 2x = 850", "Divide both sides by 2: x = 425"], "final_answer": "425", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 480) + 74 = 4(x - 472) - 68", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 480, \"c\": 74, \"d\": 4, \"e\": 472, \"f\": 68}", "seed": "7047043000098017083", "semantic_fingerprint": "sha256:bb88498042ea00206ceb6945edb6bef36641aff697add794761689ea6121e4e6", "generator_version": "3.0"}
{"id": "v3_test_id_00000427", "prompt": "Evaluate: -25 - (0 + (830 + 7))", "solution_steps": ["Add: 830 + 7 = 837", "Add: 0 + 837 = 837", "Subtract: -25 - 837 = -862"], "final_answer": "-862", "answer_type": "integer", "kind": "expression", "math_text": "-25 - (0 + (830 + 7))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": 0, \"c\": 830, \"d\": 7}", "seed": "16181138801894092109", "semantic_fingerprint": "sha256:a9236b2b852c89041a41585255a4f6ed9008ede463f18288761b1c3a665b6a4a", "generator_version": "3.0"}
{"id": "v3_test_id_00000428", "prompt": "Compute: 473 / (-9) * (-41) * 0", "solution_steps": ["Divide: 473 / (-9) = -473/9", "Multiply: (-473/9) * (-41) = 19393/9", "Multiply: (19393/9) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "473 / (-9) * (-41) * 0", "variable": null, "family": "expression_3op", "shape": "(* (* (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 473, \"b\": -9, \"c\": -41, \"d\": 0}", "seed": "14377793489333385698", "semantic_fingerprint": "sha256:de6ebc44510d1aa867b80f2ed81d7bfa92bd2e059f2d707631dad5b2f6a5f1f6", "generator_version": "3.0"}
{"id": "v3_test_id_00000429", "prompt": "Evaluate: (365 * (11 * 8) - (-4)) / 5", "solution_steps": ["Multiply: 11 * 8 = 88", "Multiply: 365 * 88 = 32120", "Subtract: 32120 - (-4) = 32124", "Divide: 32124 / 5 = 32124/5"], "final_answer": "32124/5", "answer_type": "rational", "kind": "expression", "math_text": "(365 * (11 * 8) - (-4)) / 5", "variable": null, "family": "expression_4op", "shape": "(/ (- (* n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 365, \"b\": 11, \"c\": 8, \"d\": -4, \"e\": 5}", "seed": "14659763485493641959", "semantic_fingerprint": "sha256:3d786448bb577148850d288744daeb9d9c73a8886d0501e332e626fab90febd4", "generator_version": "3.0"}
{"id": "v3_test_id_00000430", "prompt": "What is 984 + (0 + 12) * (-3)?", "solution_steps": ["Add: 0 + 12 = 12", "Multiply: 12 * (-3) = -36", "Add: 984 + (-36) = 948"], "final_answer": "948", "answer_type": "integer", "kind": "expression", "math_text": "984 + (0 + 12) * (-3)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 984, \"b\": 0, \"c\": 12, \"d\": -3}", "seed": "12676272677804371574", "semantic_fingerprint": "sha256:7d7e9208b99b4499ba3813a1acf5015204d877dad34c256137c3219e1382daa5", "generator_version": "3.0"}
{"id": "v3_test_id_00000431", "prompt": "Evaluate: 271 - (-413 / 1 + (-12))", "solution_steps": ["Divide: -413 / 1 = -413", "Add: -413 + (-12) = -425", "Subtract: 271 - (-425) = 696"], "final_answer": "696", "answer_type": "integer", "kind": "expression", "math_text": "271 - (-413 / 1 + (-12))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 271, \"b\": -413, \"c\": 1, \"d\": -12}", "seed": "17872326167565688908", "semantic_fingerprint": "sha256:1212c6806da9f9360afc39e3f735fb6e9390cee3950842689145fbc0cd520d08", "generator_version": "3.0"}
{"id": "v3_test_id_00000432", "prompt": "Calculate: 73 + 5", "solution_steps": ["Add: 73 + 5 = 78"], "final_answer": "78", "answer_type": "integer", "kind": "expression", "math_text": "73 + 5", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 5}", "seed": "6070099043972213426", "semantic_fingerprint": "sha256:6bb14d5faa708e2390bab4b0f2185d61c2476c8b9664f60213e2a62fa51b1e46", "generator_version": "3.0"}
{"id": "v3_test_id_00000433", "prompt": "Compute: -616 * (-24) / (-1)", "solution_steps": ["Multiply: -616 * (-24) = 14784", "Divide: 14784 / (-1) = -14784"], "final_answer": "-14784", "answer_type": "integer", "kind": "expression", "math_text": "-616 * (-24) / (-1)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -616, \"b\": -24, \"c\": -1}", "seed": "7227942593256633639", "semantic_fingerprint": "sha256:acfa652f755ed9e015a76bd01918c63a8763e507de94b912bcc9b54b6725e310", "generator_version": "3.0"}
{"id": "v3_test_id_00000434", "prompt": "Compute: (-596 + (-57)) / (45 * (-7))", "solution_steps": ["Add: -596 + (-57) = -653", "Multiply: 45 * (-7) = -315", "Divide: -653 / (-315) = 653/315"], "final_answer": "653/315", "answer_type": "rational", "kind": "expression", "math_text": "(-596 + (-57)) / (45 * (-7))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -596, \"b\": -57, \"c\": 45, \"d\": -7}", "seed": "6406299562858657857", "semantic_fingerprint": "sha256:f35f4237bc66fec14da86475f9951640aaa24a4d4a93d0585e5c5e36edfb810b", "generator_version": "3.0"}
{"id": "v3_test_id_00000435", "prompt": "Evaluate: 763 + 546", "solution_steps": ["Add: 763 + 546 = 1309"], "final_answer": "1309", "answer_type": "integer", "kind": "expression", "math_text": "763 + 546", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 763, \"b\": 546}", "seed": "7659178641465082220", "semantic_fingerprint": "sha256:125ec564b2e9ce48c1862a58b1f580f1591fcbda0001cece443a274aa2ca5228", "generator_version": "3.0"}
{"id": "v3_test_id_00000436", "prompt": "Find x: 11(x + 321) = -7(x + 9)", "solution_steps": ["Expand: 11x + 3531 = -7(x + 9)", "Expand: 11x + 3531 = -7x - 63", "Add 7x to both sides: 18x + 3531 = -63", "Subtract 3531 from both sides: 18x = -3594", "Divide both sides by 18: x = -599/3"], "final_answer": "-599/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 321) = -7(x + 9)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 321, \"c\": -7, \"d\": 9}", "seed": "9370459044738746885", "semantic_fingerprint": "sha256:e1c9ca9eeb9355f202287fb93e2ad4409c1d793855c69ff844a2b4e8b9e83792", "generator_version": "3.0"}
{"id": "v3_test_id_00000437", "prompt": "What is (-9 + 2 - (-98)) * (-59 * 22)?", "solution_steps": ["Add: -9 + 2 = -7", "Subtract: -7 - (-98) = 91", "Multiply: -59 * 22 = -1298", "Multiply: 91 * (-1298) = -118118"], "final_answer": "-118118", "answer_type": "integer", "kind": "expression", "math_text": "(-9 + 2 - (-98)) * (-59 * 22)", "variable": null, "family": "expression_4op", "shape": "(* (- (+ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 2, \"c\": -98, \"d\": -59, \"e\": 22}", "seed": "3057334913662610152", "semantic_fingerprint": "sha256:fa1d3fd480900038e165ae36669d938272af1ba2331c8c95a02c3169454cc6b9", "generator_version": "3.0"}
{"id": "v3_test_id_00000438", "prompt": "What value of x satisfies x + 5 = 20?", "solution_steps": ["Subtract 5 from both sides: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5 = 20", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"c\": 20, \"x\": 15}", "seed": "6107424110983375722", "semantic_fingerprint": "sha256:a5050b023f30f97e134d06e5e94946373d744f839bc323eb851739604abe403f", "generator_version": "3.0"}
{"id": "v3_test_id_00000439", "prompt": "Evaluate: (-857 - (-187)) * (-58)", "solution_steps": ["Subtract: -857 - (-187) = -670", "Multiply: -670 * (-58) = 38860"], "final_answer": "38860", "answer_type": "integer", "kind": "expression", "math_text": "(-857 - (-187)) * (-58)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -857, \"b\": -187, \"c\": -58}", "seed": "15510093374477281524", "semantic_fingerprint": "sha256:c9043d444bf1ce10cdbff93de4de5281ec31d74fbc39f73484eef3a37f310ced", "generator_version": "3.0"}
{"id": "v3_test_id_00000440", "prompt": "Evaluate: 15 / (-46) - (-18) / 46 * 93", "solution_steps": ["Divide: 15 / (-46) = -15/46", "Divide: -18 / 46 = -9/23", "Multiply: (-9/23) * 93 = -837/23", "Subtract: -15/46 - (-837/23) = 1659/46"], "final_answer": "1659/46", "answer_type": "rational", "kind": "expression", "math_text": "15 / (-46) - (-18) / 46 * 93", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (* (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": -46, \"c\": -18, \"d\": 46, \"e\": 93}", "seed": "15008811046164971945", "semantic_fingerprint": "sha256:99f51ca82159f5220e1b534ff2c48645dd78f7962ffa98ec1c93fc82235afe3a", "generator_version": "3.0"}
{"id": "v3_test_id_00000441", "prompt": "Solve the equation 8(x - 3) + 45 = 2(x - 468) + 939 for x.", "solution_steps": ["Expand: 8x - 24 + 45 = 2(x - 468) + 939", "Expand: 8x - 24 + 45 = 2x - 936 + 939", "Combine constants: 8x + 21 = 2x - 936 + 939", "Combine constants: 8x + 21 = 2x + 3", "Subtract 2x from both sides: 6x + 21 = 3", "Subtract 21 from both sides: 6x = -18", "Divide both sides by 6: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 3) + 45 = 2(x - 468) + 939", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": 45, \"d\": 2, \"e\": 468, \"g\": 939, \"x\": -3}", "seed": "13517986179584037922", "semantic_fingerprint": "sha256:60ff837c0c5d9e2854981fc5a922aac5b65a52496514dc9cc7ba06f2253b1156", "generator_version": "3.0"}
{"id": "v3_test_id_00000442", "prompt": "Compute: -6 + 67 + 6", "solution_steps": ["Add: -6 + 67 = 61", "Add: 61 + 6 = 67"], "final_answer": "67", "answer_type": "integer", "kind": "expression", "math_text": "-6 + 67 + 6", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 67, \"c\": 6}", "seed": "1787577539352463109", "semantic_fingerprint": "sha256:ca2e3b6b37e70ea8846f576064c609bbe7600582ffc90695755229b97c68cecf", "generator_version": "3.0"}
{"id": "v3_test_id_00000443", "prompt": "What is -798 + (-696 - (43 - 268) - (650 + 99))?", "solution_steps": ["Subtract: 43 - 268 = -225", "Subtract: -696 - (-225) = -471", "Add: 650 + 99 = 749", "Subtract: -471 - 749 = -1220", "Add: -798 + (-1220) = -2018"], "final_answer": "-2018", "answer_type": "integer", "kind": "expression", "math_text": "-798 + (-696 - (43 - 268) - (650 + 99))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (- n (- n n)) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -798, \"b\": -696, \"c\": 43, \"d\": 268, \"e\": 650, \"f\": 99}", "seed": "9346426069175827494", "semantic_fingerprint": "sha256:9a91543383be43585c5e0e1c11363e54dd08baed83fd5443154cdb3693a009ad", "generator_version": "3.0"}
{"id": "v3_test_id_00000444", "prompt": "What value of x satisfies 12x + 78 = x - 65?", "solution_steps": ["Subtract x from both sides: 11x + 78 = -65", "Subtract 78 from both sides: 11x = -143", "Divide both sides by 11: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 78 = x - 65", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 78, \"d\": -65, \"x\": -13}", "seed": "13614496880188546358", "semantic_fingerprint": "sha256:9fa9351d0efa0dac91d6035309520997698a5b8677ba7c0a9287079f78f41903", "generator_version": "3.0"}
{"id": "v3_test_id_00000445", "prompt": "Calculate: 420 / (999 / 95) + (-759) * 0", "solution_steps": ["Divide: 999 / 95 = 999/95", "Divide: 420 / (999/95) = 13300/333", "Multiply: -759 * 0 = 0", "Add: 13300/333 + 0 = 13300/333"], "final_answer": "13300/333", "answer_type": "rational", "kind": "expression", "math_text": "420 / (999 / 95) + (-759) * 0", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 420, \"b\": 999, \"c\": 95, \"d\": -759, \"e\": 0}", "seed": "1782828293606563547", "semantic_fingerprint": "sha256:6c5bbd92f68c65575190e8a0519fe29e33315e9a98f51a28215b390e8c656164", "generator_version": "3.0"}
{"id": "v3_test_id_00000446", "prompt": "Solve for x: 9(x + 74) + 96 = 2(x + 2) + 709", "solution_steps": ["Expand: 9x + 666 + 96 = 2(x + 2) + 709", "Expand: 9x + 666 + 96 = 2x + 4 + 709", "Combine constants: 9x + 762 = 2x + 4 + 709", "Combine constants: 9x + 762 = 2x + 713", "Subtract 2x from both sides: 7x + 762 = 713", "Subtract 762 from both sides: 7x = -49", "Divide both sides by 7: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 74) + 96 = 2(x + 2) + 709", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 74, \"c\": 96, \"d\": 2, \"e\": 2, \"g\": 709, \"x\": -7}", "seed": "8691577586899222274", "semantic_fingerprint": "sha256:39b21572bd2c1b2adb092cb83c250c61278f084bc54fec1adbdd2dba3202ac44", "generator_version": "3.0"}
{"id": "v3_test_id_00000447", "prompt": "Compute: -6 - ((6 - (-93 + (-110))) / (-861) + (-55))", "solution_steps": ["Add: -93 + (-110) = -203", "Subtract: 6 - (-203) = 209", "Divide: 209 / (-861) = -209/861", "Add: -209/861 + (-55) = -47564/861", "Subtract: -6 - (-47564/861) = 42398/861"], "final_answer": "42398/861", "answer_type": "rational", "kind": "expression", "math_text": "-6 - ((6 - (-93 + (-110))) / (-861) + (-55))", "variable": null, "family": "expression_5op", "shape": "(- n (+ (/ (- n (+ n n)) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 6, \"c\": -93, \"d\": -110, \"e\": -861, \"f\": -55}", "seed": "17664730517157771663", "semantic_fingerprint": "sha256:c3ba30bb6c6c4c96b3194d69c150477c8014fde47d1ba41b435d2d2ac9d39638", "generator_version": "3.0"}
{"id": "v3_test_id_00000448", "prompt": "Calculate: 31 + (-732) - 6 * 82", "solution_steps": ["Add: 31 + (-732) = -701", "Multiply: 6 * 82 = 492", "Subtract: -701 - 492 = -1193"], "final_answer": "-1193", "answer_type": "integer", "kind": "expression", "math_text": "31 + (-732) - 6 * 82", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": -732, \"c\": 6, \"d\": 82}", "seed": "12020665417405986977", "semantic_fingerprint": "sha256:f4df836687c5066fe981386e9f7f08346b295a47c903ebdd3dd823ebdd61bff2", "generator_version": "3.0"}
{"id": "v3_test_id_00000449", "prompt": "Compute: 5 * 44", "solution_steps": ["Multiply: 5 * 44 = 220"], "final_answer": "220", "answer_type": "integer", "kind": "expression", "math_text": "5 * 44", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 44}", "seed": "15951435705044875936", "semantic_fingerprint": "sha256:e347cb67cb2aa1ad84d31c149ca9e44533ca60c8a7c720b8ef2116171b310fd6", "generator_version": "3.0"}
{"id": "v3_test_id_00000450", "prompt": "Calculate: (0 - 58) * ((0 - (-401)) / 174)", "solution_steps": ["Subtract: 0 - 58 = -58", "Subtract: 0 - (-401) = 401", "Divide: 401 / 174 = 401/174", "Multiply: -58 * (401/174) = -401/3"], "final_answer": "-401/3", "answer_type": "rational", "kind": "expression", "math_text": "(0 - 58) * ((0 - (-401)) / 174)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 58, \"c\": 0, \"d\": -401, \"e\": 174}", "seed": "2513051288804069838", "semantic_fingerprint": "sha256:04b59ff2cc08becbebeb13b4bc00fbf8150e291eaa1eb71ff8342e2b97eb169d", "generator_version": "3.0"}
{"id": "v3_test_id_00000451", "prompt": "Solve for x: 8x - 98 = -146", "solution_steps": ["Add 98 to both sides: 8x = -48", "Divide both sides by 8: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 98 = -146", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 98, \"d\": -146, \"x\": -6}", "seed": "1028846619046506458", "semantic_fingerprint": "sha256:93b5a1ee824753479b94695d5c462adacb9f6711410c211195dfc1f0932e980c", "generator_version": "3.0"}
{"id": "v3_test_id_00000452", "prompt": "What is -816 * (-68)?", "solution_steps": ["Multiply: -816 * (-68) = 55488"], "final_answer": "55488", "answer_type": "integer", "kind": "expression", "math_text": "-816 * (-68)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -816, \"b\": -68}", "seed": "12044378435600675936", "semantic_fingerprint": "sha256:70bf110682fe53b15c8c43e8fb5eb02babfb3f6fe5e240e26f52454beae91cb1", "generator_version": "3.0"}
{"id": "v3_test_id_00000453", "prompt": "What is -4 - (805 - (-931))?", "solution_steps": ["Subtract: 805 - (-931) = 1736", "Subtract: -4 - 1736 = -1740"], "final_answer": "-1740", "answer_type": "integer", "kind": "expression", "math_text": "-4 - (805 - (-931))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 805, \"c\": -931}", "seed": "2447848052221373181", "semantic_fingerprint": "sha256:816f245f718f1ebcb3854ace4f341fce6cfd0e85c722e2f2a4ec92056be3089b", "generator_version": "3.0"}
{"id": "v3_test_id_00000454", "prompt": "Compute: (-29 + (97 - 94)) / 59", "solution_steps": ["Subtract: 97 - 94 = 3", "Add: -29 + 3 = -26", "Divide: -26 / 59 = -26/59"], "final_answer": "-26/59", "answer_type": "rational", "kind": "expression", "math_text": "(-29 + (97 - 94)) / 59", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": 97, \"c\": 94, \"d\": 59}", "seed": "10284336288576199588", "semantic_fingerprint": "sha256:1f807579a6ef2b016bd1cbb2454771a734079b906e8c5ac7b923b4121448f14c", "generator_version": "3.0"}
{"id": "v3_test_id_00000455", "prompt": "What is 8 * (-35 / (43 + (-1)) - (-33))?", "solution_steps": ["Add: 43 + (-1) = 42", "Divide: -35 / 42 = -5/6", "Subtract: -5/6 - (-33) = 193/6", "Multiply: 8 * (193/6) = 772/3"], "final_answer": "772/3", "answer_type": "rational", "kind": "expression", "math_text": "8 * (-35 / (43 + (-1)) - (-33))", "variable": null, "family": "expression_4op", "shape": "(* n (- (/ n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -35, \"c\": 43, \"d\": -1, \"e\": -33}", "seed": "2558141873391587087", "semantic_fingerprint": "sha256:de3277f0e22a63a904607394d74a5f5a3fb15ed122d26bf1f5d9d49c707895d9", "generator_version": "3.0"}
{"id": "v3_test_id_00000456", "prompt": "What is (-21 - 8) / 309 * ((-5 + (-7)) / 5)?", "solution_steps": ["Subtract: -21 - 8 = -29", "Divide: -29 / 309 = -29/309", "Add: -5 + (-7) = -12", "Divide: -12 / 5 = -12/5", "Multiply: (-29/309) * (-12/5) = 116/515"], "final_answer": "116/515", "answer_type": "rational", "kind": "expression", "math_text": "(-21 - 8) / 309 * ((-5 + (-7)) / 5)", "variable": null, "family": "expression_5op", "shape": "(* (/ (- n n) n) (/ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": 8, \"c\": 309, \"d\": -5, \"e\": -7, \"f\": 5}", "seed": "1612754537954320993", "semantic_fingerprint": "sha256:6980f8fe925db0aa4d65059e5f64ebb9a3bd2f75c6537a298c5be0947caab6da", "generator_version": "3.0"}
{"id": "v3_test_id_00000457", "prompt": "Find x: 10(x - 36) + 74 = 6x - 362", "solution_steps": ["Expand: 10x - 360 + 74 = 6x - 362", "Combine constants: 10x - 286 = 6x - 362", "Subtract 6x from both sides: 4x - 286 = -362", "Add 286 to both sides: 4x = -76", "Divide both sides by 4: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 36) + 74 = 6x - 362", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 36, \"c\": 74, \"d\": 6, \"f\": -362, \"x\": -19}", "seed": "17039001217958674615", "semantic_fingerprint": "sha256:ac65bc04e844236fe0c6d75fb1788934c414930e5978e784095477170c1a7aa3", "generator_version": "3.0"}
{"id": "v3_test_id_00000458", "prompt": "What is 9 + (-73) - (57 + 3) + 63?", "solution_steps": ["Add: 9 + (-73) = -64", "Add: 57 + 3 = 60", "Subtract: -64 - 60 = -124", "Add: -124 + 63 = -61"], "final_answer": "-61", "answer_type": "integer", "kind": "expression", "math_text": "9 + (-73) - (57 + 3) + 63", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -73, \"c\": 57, \"d\": 3, \"e\": 63}", "seed": "6585599482437124116", "semantic_fingerprint": "sha256:1ed862490e1750553ad563ef6cf3550994f009e20550af8db112436cb049620d", "generator_version": "3.0"}
{"id": "v3_test_id_00000459", "prompt": "What is 73 / (-66) + (-8)?", "solution_steps": ["Divide: 73 / (-66) = -73/66", "Add: -73/66 + (-8) = -601/66"], "final_answer": "-601/66", "answer_type": "rational", "kind": "expression", "math_text": "73 / (-66) + (-8)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": -66, \"c\": -8}", "seed": "9980351979834834677", "semantic_fingerprint": "sha256:67a70b76a9424c358d869134cc93550d5c119e7422ed868ea86ae1c0bd7b7667", "generator_version": "3.0"}
{"id": "v3_test_id_00000460", "prompt": "Evaluate: 0 / (-320) + (-407)", "solution_steps": ["Divide: 0 / (-320) = 0", "Add: 0 + (-407) = -407"], "final_answer": "-407", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-320) + (-407)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -320, \"c\": -407}", "seed": "7413145268827136491", "semantic_fingerprint": "sha256:c744cc7eecd2fdd2afd660fd8a3f40b2ee22c718a2755c8d2b5b25472f6dd2ff", "generator_version": "3.0"}
{"id": "v3_test_id_00000461", "prompt": "Compute: 83 + (-22) / (-8) - 88", "solution_steps": ["Divide: -22 / (-8) = 11/4", "Add: 83 + 11/4 = 343/4", "Subtract: 343/4 - 88 = -9/4"], "final_answer": "-9/4", "answer_type": "rational", "kind": "expression", "math_text": "83 + (-22) / (-8) - 88", "variable": null, "family": "expression_3op", "shape": "(- (+ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": -22, \"c\": -8, \"d\": 88}", "seed": "10696848725745286757", "semantic_fingerprint": "sha256:7ad91e1329fe6cd6998017935f62904046e31bf036170b074acfa6e146dcceb6", "generator_version": "3.0"}
{"id": "v3_test_id_00000462", "prompt": "Compute: -22 + (-40) / ((0 + 99) * (-5))", "solution_steps": ["Add: 0 + 99 = 99", "Multiply: 99 * (-5) = -495", "Divide: -40 / (-495) = 8/99", "Add: -22 + 8/99 = -2170/99"], "final_answer": "-2170/99", "answer_type": "rational", "kind": "expression", "math_text": "-22 + (-40) / ((0 + 99) * (-5))", "variable": null, "family": "expression_4op", "shape": "(+ n (/ n (* (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": -40, \"c\": 0, \"d\": 99, \"e\": -5}", "seed": "8646917508148490953", "semantic_fingerprint": "sha256:e17f02adae370a88b43cf9a63d8da03e56e619d8acc54a40018daff4f59d58dd", "generator_version": "3.0"}
{"id": "v3_test_id_00000463", "prompt": "Compute: (7 - 253) / 44 - (726 + (-301))", "solution_steps": ["Subtract: 7 - 253 = -246", "Divide: -246 / 44 = -123/22", "Add: 726 + (-301) = 425", "Subtract: -123/22 - 425 = -9473/22"], "final_answer": "-9473/22", "answer_type": "rational", "kind": "expression", "math_text": "(7 - 253) / 44 - (726 + (-301))", "variable": null, "family": "expression_4op", "shape": "(- (/ (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 253, \"c\": 44, \"d\": 726, \"e\": -301}", "seed": "17948321388773260350", "semantic_fingerprint": "sha256:6320a6f977c1770535ae86ec207bc7fbcc221f9e650542c5f17eb8c6c91c3e93", "generator_version": "3.0"}
{"id": "v3_test_id_00000464", "prompt": "Solve the equation 11(x + 2) + 7 = 205 for x.", "solution_steps": ["Expand: 11x + 22 + 7 = 205", "Combine constants: 11x + 29 = 205", "Subtract 29 from both sides: 11x = 176", "Divide both sides by 11: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 2) + 7 = 205", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 2, \"c\": 7, \"e\": 205, \"x\": 16}", "seed": "17141818102898978916", "semantic_fingerprint": "sha256:86389b5360c1da505ce376b958ab934e07d20e96a1df22bff2c0ff6057dcaba5", "generator_version": "3.0"}
{"id": "v3_test_id_00000465", "prompt": "Compute: -79 + (19 - (-5)) - 79 / (-37)", "solution_steps": ["Subtract: 19 - (-5) = 24", "Add: -79 + 24 = -55", "Divide: 79 / (-37) = -79/37", "Subtract: -55 - (-79/37) = -1956/37"], "final_answer": "-1956/37", "answer_type": "rational", "kind": "expression", "math_text": "-79 + (19 - (-5)) - 79 / (-37)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (- n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": 19, \"c\": -5, \"d\": 79, \"e\": -37}", "seed": "4238698222631748805", "semantic_fingerprint": "sha256:5958c228fbcd10409f520ebf3a51009ee553645866c71fd1b4295433879e0966", "generator_version": "3.0"}
{"id": "v3_test_id_00000466", "prompt": "Evaluate: -9 / (95 + 0)", "solution_steps": ["Add: 95 + 0 = 95", "Divide: -9 / 95 = -9/95"], "final_answer": "-9/95", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (95 + 0)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 95, \"c\": 0}", "seed": "6936786644113407146", "semantic_fingerprint": "sha256:126996fb445c53c98fcb667dfdc334b6d250cc5cfd9933f0c79808d853c31d3d", "generator_version": "3.0"}
{"id": "v3_test_id_00000467", "prompt": "What is -2 + (-99) - (-7) + (-86) - (-14)?", "solution_steps": ["Add: -2 + (-99) = -101", "Subtract: -101 - (-7) = -94", "Add: -94 + (-86) = -180", "Subtract: -180 - (-14) = -166"], "final_answer": "-166", "answer_type": "integer", "kind": "expression", "math_text": "-2 + (-99) - (-7) + (-86) - (-14)", "variable": null, "family": "expression_4op", "shape": "(- (+ (- (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -99, \"c\": -7, \"d\": -86, \"e\": -14}", "seed": "1572130088354776174", "semantic_fingerprint": "sha256:9f86a779f47f348d9a32d52ecbec335e8edb5f4d0bf1bef629409bafb243f837", "generator_version": "3.0"}
{"id": "v3_test_id_00000468", "prompt": "Solve the equation x - 91 = -6(x + 6) + 71 for x.", "solution_steps": ["Expand: x - 91 = -6x - 36 + 71", "Combine constants: x - 91 = -6x + 35", "Add 6x to both sides: 7x - 91 = 35", "Add 91 to both sides: 7x = 126", "Divide both sides by 7: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 91 = -6(x + 6) + 71", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": -6, \"c\": 6, \"e\": 71, \"x\": 18}", "seed": "11429245369590522542", "semantic_fingerprint": "sha256:c7f18e1116489042b2be057054052ba1788492466236c70accd5eeb15e171e64", "generator_version": "3.0"}
{"id": "v3_test_id_00000469", "prompt": "What is -9 * 41 - (-65) + (-4)?", "solution_steps": ["Multiply: -9 * 41 = -369", "Subtract: -369 - (-65) = -304", "Add: -304 + (-4) = -308"], "final_answer": "-308", "answer_type": "integer", "kind": "expression", "math_text": "-9 * 41 - (-65) + (-4)", "variable": null, "family": "expression_3op", "shape": "(+ (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 41, \"c\": -65, \"d\": -4}", "seed": "13016582228809690115", "semantic_fingerprint": "sha256:1836dfefb2d866b0568d14fabc9cd4f5cee27a1e4398f38285b17f117a409925", "generator_version": "3.0"}
{"id": "v3_test_id_00000470", "prompt": "Find x: 7(x + 83) - 809 = -5x", "solution_steps": ["Expand: 7x + 581 - 809 = -5x", "Combine constants: 7x - 228 = -5x", "Add 5x to both sides: 12x - 228 = 0", "Add 228 to both sides: 12x = 228", "Divide both sides by 12: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 83) - 809 = -5x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 83, \"c\": -5, \"e\": -809, \"x\": 19}", "seed": "13870928988979883518", "semantic_fingerprint": "sha256:1448bb42973da9dd36bb1a84f49c48d6a39a0149a9763e64549eee0678bb05df", "generator_version": "3.0"}
{"id": "v3_test_id_00000471", "prompt": "Evaluate: (1 - (-4)) / (-45) / (-56 + (-31))", "solution_steps": ["Subtract: 1 - (-4) = 5", "Divide: 5 / (-45) = -1/9", "Add: -56 + (-31) = -87", "Divide: (-1/9) / (-87) = 1/783"], "final_answer": "1/783", "answer_type": "rational", "kind": "expression", "math_text": "(1 - (-4)) / (-45) / (-56 + (-31))", "variable": null, "family": "expression_4op", "shape": "(/ (/ (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -4, \"c\": -45, \"d\": -56, \"e\": -31}", "seed": "8372261578641649254", "semantic_fingerprint": "sha256:3298943b7bff28c85889255541aae4de3d0b6aa2d5bbdf76feb033bfee61ace7", "generator_version": "3.0"}
{"id": "v3_test_id_00000472", "prompt": "Find x: x + 986 = 12(x + 95)", "solution_steps": ["Expand: x + 986 = 12x + 1140", "Subtract 12x from both sides: -11x + 986 = 1140", "Subtract 986 from both sides: -11x = 154", "Divide both sides by -11: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 986 = 12(x + 95)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 95, \"d\": 986, \"x\": -14}", "seed": "7706443342341791022", "semantic_fingerprint": "sha256:f1be58027f67c4d6ebf6ceb02592a2454ffb4de149ab7199042c53619cbaf6f7", "generator_version": "3.0"}
{"id": "v3_test_id_00000473", "prompt": "Compute: -67 / (92 * 63)", "solution_steps": ["Multiply: 92 * 63 = 5796", "Divide: -67 / 5796 = -67/5796"], "final_answer": "-67/5796", "answer_type": "rational", "kind": "expression", "math_text": "-67 / (92 * 63)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": 92, \"c\": 63}", "seed": "14922159175818362901", "semantic_fingerprint": "sha256:261b8b8a744083b79d069a1b1410546ce97b4d7caeff132314629cb676e400f4", "generator_version": "3.0"}
{"id": "v3_test_id_00000474", "prompt": "Find x: 3(x + 38) + 21 = 12x", "solution_steps": ["Expand: 3x + 114 + 21 = 12x", "Combine constants: 3x + 135 = 12x", "Subtract 12x from both sides: -9x + 135 = 0", "Subtract 135 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 + 38) + 21 = 12x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 38, \"c\": 12, \"e\": 21, \"x\": 15}", "seed": "11800780676080665644", "semantic_fingerprint": "sha256:c44d60f6f565d8a418a6af99613243256ec56289da96a8328a359e75439c2e9a", "generator_version": "3.0"}
{"id": "v3_test_id_00000475", "prompt": "Calculate: -97 + (-52 - (-3) * (-5)) + (-61)", "solution_steps": ["Multiply: -3 * (-5) = 15", "Subtract: -52 - 15 = -67", "Add: -97 + (-67) = -164", "Add: -164 + (-61) = -225"], "final_answer": "-225", "answer_type": "integer", "kind": "expression", "math_text": "-97 + (-52 - (-3) * (-5)) + (-61)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n (* n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": -52, \"c\": -3, \"d\": -5, \"e\": -61}", "seed": "11674963572328059861", "semantic_fingerprint": "sha256:3b3b6d7b2cce5ed9537996c92177ab1198427d2a57a84a5977e83ee18ff6b525", "generator_version": "3.0"}
{"id": "v3_test_id_00000476", "prompt": "What value of x satisfies 4(x + 9) - 15 = 5(x + 43) + 982?", "solution_steps": ["Expand: 4x + 36 - 15 = 5(x + 43) + 982", "Expand: 4x + 36 - 15 = 5x + 215 + 982", "Combine constants: 4x + 21 = 5x + 215 + 982", "Combine constants: 4x + 21 = 5x + 1197", "Subtract 5x from both sides: -x + 21 = 1197", "Subtract 21 from both sides: -x = 1176", "Divide both sides by -1: x = -1176"], "final_answer": "-1176", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 9) - 15 = 5(x + 43) + 982", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 15, \"d\": 5, \"e\": 43, \"f\": 982}", "seed": "16062827505116894406", "semantic_fingerprint": "sha256:6dd9e37738563ce7c21fdc7cef833c3f877ffe15fce549a8aebbf847775e9b3b", "generator_version": "3.0"}
{"id": "v3_test_id_00000477", "prompt": "What value of x satisfies 3(x + 85) + 37 = x - 90?", "solution_steps": ["Expand: 3x + 255 + 37 = x - 90", "Combine constants: 3x + 292 = x - 90", "Subtract x from both sides: 2x + 292 = -90", "Subtract 292 from both sides: 2x = -382", "Divide both sides by 2: x = -191"], "final_answer": "-191", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 85) + 37 = x - 90", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 85, \"c\": 37, \"d\": 90}", "seed": "3948804062713608984", "semantic_fingerprint": "sha256:d91e5a4ee078776b64ab5cda294da75fb29c7d72c5921f4172c87bb66029e5ec", "generator_version": "3.0"}
{"id": "v3_test_id_00000478", "prompt": "Compute: -370 - (-88)", "solution_steps": ["Subtract: -370 - (-88) = -282"], "final_answer": "-282", "answer_type": "integer", "kind": "expression", "math_text": "-370 - (-88)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -370, \"b\": -88}", "seed": "15464735428731628335", "semantic_fingerprint": "sha256:53ca5a43fa6ab34bfdbc6ea7a775ac4c94c0d24493384328743729d04d7131d5", "generator_version": "3.0"}
{"id": "v3_test_id_00000479", "prompt": "Evaluate: 876 / 370 + (-1) - 992", "solution_steps": ["Divide: 876 / 370 = 438/185", "Add: 438/185 + (-1) = 253/185", "Subtract: 253/185 - 992 = -183267/185"], "final_answer": "-183267/185", "answer_type": "rational", "kind": "expression", "math_text": "876 / 370 + (-1) - 992", "variable": null, "family": "expression_3op", "shape": "(- (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 876, \"b\": 370, \"c\": -1, \"d\": 992}", "seed": "7326976949049928", "semantic_fingerprint": "sha256:38d1eadfb2f6e833c8ba8bee9807bab51d39b2692bb9f7aa0a9c1956887bbffd", "generator_version": "3.0"}
{"id": "v3_test_id_00000480", "prompt": "Solve the equation 4(x + 97) = -10(x - 473) - 441 for x.", "solution_steps": ["Expand: 4x + 388 = -10(x - 473) - 441", "Expand: 4x + 388 = -10x + 4730 - 441", "Combine constants: 4x + 388 = -10x + 4289", "Add 10x to both sides: 14x + 388 = 4289", "Subtract 388 from both sides: 14x = 3901", "Divide both sides by 14: x = 3901/14"], "final_answer": "3901/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 97) = -10(x - 473) - 441", "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\": -10, \"d\": 473, \"e\": 441}", "seed": "1913455572239878652", "semantic_fingerprint": "sha256:d64cd52df094ea32ec3738bc9a17978b8e7c956ac87fd3e45eb56043f9417ddd", "generator_version": "3.0"}
{"id": "v3_test_id_00000481", "prompt": "Solve the equation x + 57 = 7x + 165 for x.", "solution_steps": ["Subtract 7x from both sides: -6x + 57 = 165", "Subtract 57 from both sides: -6x = 108", "Divide both sides by -6: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 57 = 7x + 165", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": 7, \"d\": 165, \"x\": -18}", "seed": "4543478528501585505", "semantic_fingerprint": "sha256:2198a8e119cc5800f3c67500a838c26e28dbb4d9f8307ac036ab287e085ebbb0", "generator_version": "3.0"}
{"id": "v3_test_id_00000482", "prompt": "Calculate: 53 * 89 / (-74 / 59)", "solution_steps": ["Multiply: 53 * 89 = 4717", "Divide: -74 / 59 = -74/59", "Divide: 4717 / (-74/59) = -278303/74"], "final_answer": "-278303/74", "answer_type": "rational", "kind": "expression", "math_text": "53 * 89 / (-74 / 59)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": 89, \"c\": -74, \"d\": 59}", "seed": "9197287157327129538", "semantic_fingerprint": "sha256:e2530aed65e8df25f813e1715b3e7cb96e40afdd8896484b2d53fb741bfd7652", "generator_version": "3.0"}
{"id": "v3_test_id_00000483", "prompt": "What is 73 * (-67 / (65 / 4) - 8)?", "solution_steps": ["Divide: 65 / 4 = 65/4", "Divide: -67 / (65/4) = -268/65", "Subtract: -268/65 - 8 = -788/65", "Multiply: 73 * (-788/65) = -57524/65"], "final_answer": "-57524/65", "answer_type": "rational", "kind": "expression", "math_text": "73 * (-67 / (65 / 4) - 8)", "variable": null, "family": "expression_4op", "shape": "(* n (- (/ n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": -67, \"c\": 65, \"d\": 4, \"e\": 8}", "seed": "13572333832702953695", "semantic_fingerprint": "sha256:ee7265f01b79a24fae47dbb5849d1bfa2f0d7c5b015bd6a87f9f6b8bdf25310b", "generator_version": "3.0"}
{"id": "v3_test_id_00000484", "prompt": "Calculate: 989 * 60 / 21", "solution_steps": ["Multiply: 989 * 60 = 59340", "Divide: 59340 / 21 = 19780/7"], "final_answer": "19780/7", "answer_type": "rational", "kind": "expression", "math_text": "989 * 60 / 21", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 989, \"b\": 60, \"c\": 21}", "seed": "17488156918822228449", "semantic_fingerprint": "sha256:b39e2e61e79eee604bea48731dea16c1fe65c74c83fc1fa62e205fac25123cb0", "generator_version": "3.0"}
{"id": "v3_test_id_00000485", "prompt": "Find x: -7(x + 5) = x - 51", "solution_steps": ["Expand: -7x - 35 = x - 51", "Subtract x from both sides: -8x - 35 = -51", "Add 35 to both sides: -8x = -16", "Divide both sides by -8: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 5) = x - 51", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 5, \"d\": -51, \"x\": 2}", "seed": "9018305704096324781", "semantic_fingerprint": "sha256:83dc8103acce7ae89c67a0545444abec958a17815146b1e8385180a8fcc0fea1", "generator_version": "3.0"}
{"id": "v3_test_id_00000486", "prompt": "Find x: 10(x - 66) = -4(x + 8) + 74", "solution_steps": ["Expand: 10x - 660 = -4(x + 8) + 74", "Expand: 10x - 660 = -4x - 32 + 74", "Combine constants: 10x - 660 = -4x + 42", "Add 4x to both sides: 14x - 660 = 42", "Add 660 to both sides: 14x = 702", "Divide both sides by 14: x = 351/7"], "final_answer": "351/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 66) = -4(x + 8) + 74", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 66, \"c\": -4, \"d\": 8, \"e\": 74}", "seed": "13621174185953446771", "semantic_fingerprint": "sha256:e54f1b6f646d1ad53a46001637f2770f204c8397be5e6a148c45bb2c4410fe25", "generator_version": "3.0"}
{"id": "v3_test_id_00000487", "prompt": "Calculate: 892 / (-73) / ((15 + (-8)) * (-1))", "solution_steps": ["Divide: 892 / (-73) = -892/73", "Add: 15 + (-8) = 7", "Multiply: 7 * (-1) = -7", "Divide: (-892/73) / (-7) = 892/511"], "final_answer": "892/511", "answer_type": "rational", "kind": "expression", "math_text": "892 / (-73) / ((15 + (-8)) * (-1))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (* (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 892, \"b\": -73, \"c\": 15, \"d\": -8, \"e\": -1}", "seed": "15974673756240308945", "semantic_fingerprint": "sha256:fe4d134ed72fb881540d077a9fba825729f22fea39cf7f8d4b3fdedceff3f218", "generator_version": "3.0"}
{"id": "v3_test_id_00000488", "prompt": "Compute: (-70 - (-39) - 86 / 755) * (0 / (-1))", "solution_steps": ["Subtract: -70 - (-39) = -31", "Divide: 86 / 755 = 86/755", "Subtract: -31 - 86/755 = -23491/755", "Divide: 0 / (-1) = 0", "Multiply: (-23491/755) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-70 - (-39) - 86 / 755) * (0 / (-1))", "variable": null, "family": "expression_5op", "shape": "(* (- (- n n) (/ n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": -39, \"c\": 86, \"d\": 755, \"e\": 0, \"f\": -1}", "seed": "14518449806578193709", "semantic_fingerprint": "sha256:9e34403c9117b0b0c94585475ef446441f6918de69f4dc4a85548ab1ab2f85ce", "generator_version": "3.0"}
{"id": "v3_test_id_00000489", "prompt": "Find x: -12x + 334 = 2(x + 83)", "solution_steps": ["Expand: -12x + 334 = 2x + 166", "Subtract 2x from both sides: -14x + 334 = 166", "Subtract 334 from both sides: -14x = -168", "Divide both sides by -14: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x + 334 = 2(x + 83)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 2, \"c\": 83, \"e\": 334, \"x\": 12}", "seed": "7659057019866264301", "semantic_fingerprint": "sha256:4f523060c0841870618064218ab535424eff2f90cd2acf87129750075554ae06", "generator_version": "3.0"}
{"id": "v3_test_id_00000490", "prompt": "Find x: 7x - 64 = 3(x + 47) - 257", "solution_steps": ["Expand: 7x - 64 = 3x + 141 - 257", "Combine constants: 7x - 64 = 3x - 116", "Subtract 3x from both sides: 4x - 64 = -116", "Add 64 to both sides: 4x = -52", "Divide both sides by 4: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 64 = 3(x + 47) - 257", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 64, \"c\": 3, \"d\": 47, \"f\": -257, \"x\": -13}", "seed": "954191111231325893", "semantic_fingerprint": "sha256:4206cc38413eab92002e0b0d8381eb78c096e3db01da1f9eac85269a929453ce", "generator_version": "3.0"}
{"id": "v3_test_id_00000491", "prompt": "Calculate: 1 / 13 + (-97 + (-89))", "solution_steps": ["Divide: 1 / 13 = 1/13", "Add: -97 + (-89) = -186", "Add: 1/13 + (-186) = -2417/13"], "final_answer": "-2417/13", "answer_type": "rational", "kind": "expression", "math_text": "1 / 13 + (-97 + (-89))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 13, \"c\": -97, \"d\": -89}", "seed": "14221704216462298610", "semantic_fingerprint": "sha256:25971afb87028d67b1c12bbf0fcab390b810613f9b5905ec4290d62f83df7494", "generator_version": "3.0"}
{"id": "v3_test_id_00000492", "prompt": "Calculate: -439 - (-673 - (-2) - (-4) * (-5))", "solution_steps": ["Subtract: -673 - (-2) = -671", "Multiply: -4 * (-5) = 20", "Subtract: -671 - 20 = -691", "Subtract: -439 - (-691) = 252"], "final_answer": "252", "answer_type": "integer", "kind": "expression", "math_text": "-439 - (-673 - (-2) - (-4) * (-5))", "variable": null, "family": "expression_4op", "shape": "(- n (- (- n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -439, \"b\": -673, \"c\": -2, \"d\": -4, \"e\": -5}", "seed": "11723754377455003237", "semantic_fingerprint": "sha256:eecda7bc757a58e24281a4b6e7baee96e524511ad52dd44c5c237505f823b9aa", "generator_version": "3.0"}
{"id": "v3_test_id_00000493", "prompt": "Calculate: 35 + 567 - (3 + 1) / (79 / 21)", "solution_steps": ["Add: 35 + 567 = 602", "Add: 3 + 1 = 4", "Divide: 79 / 21 = 79/21", "Divide: 4 / (79/21) = 84/79", "Subtract: 602 - 84/79 = 47474/79"], "final_answer": "47474/79", "answer_type": "rational", "kind": "expression", "math_text": "35 + 567 - (3 + 1) / (79 / 21)", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (/ (+ n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": 567, \"c\": 3, \"d\": 1, \"e\": 79, \"f\": 21}", "seed": "17716245705194888225", "semantic_fingerprint": "sha256:b5390d070b1e693f8d1c7fe7eafd46973559039af794cac089fd78f28256399c", "generator_version": "3.0"}
{"id": "v3_test_id_00000494", "prompt": "Solve for x: -7(x + 4) = -2(x + 8) + 48", "solution_steps": ["Expand: -7x - 28 = -2(x + 8) + 48", "Expand: -7x - 28 = -2x - 16 + 48", "Combine constants: -7x - 28 = -2x + 32", "Add 2x to both sides: -5x - 28 = 32", "Add 28 to both sides: -5x = 60", "Divide both sides by -5: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 4) = -2(x + 8) + 48", "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\": -2, \"d\": 8, \"f\": 48, \"x\": -12}", "seed": "8230834528268736847", "semantic_fingerprint": "sha256:0a6f7b1315b8b474dd3772c46a9fd35e10e44bb75a77d10df62b6b2a830756cb", "generator_version": "3.0"}
{"id": "v3_test_id_00000495", "prompt": "Find x: 6(x + 5) = 4x + 16", "solution_steps": ["Expand: 6x + 30 = 4x + 16", "Subtract 4x from both sides: 2x + 30 = 16", "Subtract 30 from both sides: 2x = -14", "Divide both sides by 2: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 5) = 4x + 16", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 4, \"e\": 16, \"x\": -7}", "seed": "17644231057200612699", "semantic_fingerprint": "sha256:3c017534b6f8cceeccf4412e268aff4f3c9a0312b91b62116b5f9be9ce015a0a", "generator_version": "3.0"}
{"id": "v3_test_id_00000496", "prompt": "Find x: -8x + 3 = x - 71", "solution_steps": ["Subtract x from both sides: -9x + 3 = -71", "Subtract 3 from both sides: -9x = -74", "Divide both sides by -9: x = 74/9"], "final_answer": "74/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8x + 3 = x - 71", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 3, \"c\": 71}", "seed": "8302118265794526029", "semantic_fingerprint": "sha256:2f64dad45ce4c617f42f29fc2d2a49ff954adc39033b120d8fa0b34da663b4ca", "generator_version": "3.0"}
{"id": "v3_test_id_00000497", "prompt": "Calculate: -4 - 12", "solution_steps": ["Subtract: -4 - 12 = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "expression", "math_text": "-4 - 12", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 12}", "seed": "15403506006447946416", "semantic_fingerprint": "sha256:d8913f13eea65cf02fe5236f466c60675cfa75d6756b6853ef88bb8e64bc30de", "generator_version": "3.0"}
{"id": "v3_test_id_00000498", "prompt": "Find x: 12(x + 3) - 6 = x", "solution_steps": ["Expand: 12x + 36 - 6 = x", "Combine constants: 12x + 30 = x", "Subtract x from both sides: 11x + 30 = 0", "Subtract 30 from both sides: 11x = -30", "Divide both sides by 11: x = -30/11"], "final_answer": "-30/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 3) - 6 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 3, \"c\": 6}", "seed": "8029268181271137701", "semantic_fingerprint": "sha256:fda4a46e620b7e11938785326dea3e7397726639bef42d26c2e724e2685704b3", "generator_version": "3.0"}
{"id": "v3_test_id_00000499", "prompt": "Evaluate: 8 + 39 + (-96) / (-5 - (-7))", "solution_steps": ["Add: 8 + 39 = 47", "Subtract: -5 - (-7) = 2", "Divide: -96 / 2 = -48", "Add: 47 + (-48) = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "expression", "math_text": "8 + 39 + (-96) / (-5 - (-7))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 39, \"c\": -96, \"d\": -5, \"e\": -7}", "seed": "426279391752760031", "semantic_fingerprint": "sha256:97aac328ee710708fade32fdb24c5f9694c58dfedf88fc262f937c418b5224a2", "generator_version": "3.0"}
{"id": "v3_test_id_00000500", "prompt": "Calculate: 1 + (-4 - 600) / 9", "solution_steps": ["Subtract: -4 - 600 = -604", "Divide: -604 / 9 = -604/9", "Add: 1 + (-604/9) = -595/9"], "final_answer": "-595/9", "answer_type": "rational", "kind": "expression", "math_text": "1 + (-4 - 600) / 9", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -4, \"c\": 600, \"d\": 9}", "seed": "10812641091627298131", "semantic_fingerprint": "sha256:5dffd9f2415e3d4d24b6bb99397c23969f4fd3716d773c991d86051581facfb5", "generator_version": "3.0"}
{"id": "v3_test_id_00000501", "prompt": "Compute: (11 + (-40)) * 31", "solution_steps": ["Add: 11 + (-40) = -29", "Multiply: -29 * 31 = -899"], "final_answer": "-899", "answer_type": "integer", "kind": "expression", "math_text": "(11 + (-40)) * 31", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -40, \"c\": 31}", "seed": "1762775128582634781", "semantic_fingerprint": "sha256:e6d0b7586814aab3a5265d68fdffacf29a2a2277cf5eeeb254838e0763b6186f", "generator_version": "3.0"}
{"id": "v3_test_id_00000502", "prompt": "What is -504 + (-76) - (-413 - (-91)) * (-7)?", "solution_steps": ["Add: -504 + (-76) = -580", "Subtract: -413 - (-91) = -322", "Multiply: -322 * (-7) = 2254", "Subtract: -580 - 2254 = -2834"], "final_answer": "-2834", "answer_type": "integer", "kind": "expression", "math_text": "-504 + (-76) - (-413 - (-91)) * (-7)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (* (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -504, \"b\": -76, \"c\": -413, \"d\": -91, \"e\": -7}", "seed": "3895907254826922289", "semantic_fingerprint": "sha256:431bb0b1d0e4677e1d189f72895df2e1bce02880ddd6c892befd35cedc6f6bf3", "generator_version": "3.0"}
{"id": "v3_test_id_00000503", "prompt": "Find x: x = 11(x - 8)", "solution_steps": ["Expand: x = 11x - 88", "Subtract 11x from both sides: -10x = -88", "Divide both sides by -10: x = 44/5"], "final_answer": "44/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 11(x - 8)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 8}", "seed": "11505729593845058264", "semantic_fingerprint": "sha256:0d29828cc62d141d670b619937551852924c91b59fc981f59ec3300d1a4481b2", "generator_version": "3.0"}
{"id": "v3_test_id_00000504", "prompt": "What is (502 - (-5)) * (-921)?", "solution_steps": ["Subtract: 502 - (-5) = 507", "Multiply: 507 * (-921) = -466947"], "final_answer": "-466947", "answer_type": "integer", "kind": "expression", "math_text": "(502 - (-5)) * (-921)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 502, \"b\": -5, \"c\": -921}", "seed": "5307356639352832738", "semantic_fingerprint": "sha256:2fba26264e93ddb42623651ac57a1a255215464f81b2480c00203fc95d117f38", "generator_version": "3.0"}
{"id": "v3_test_id_00000505", "prompt": "Find x: -12x = -8x - 5", "solution_steps": ["Add 8x to both sides: -4x = -5", "Divide both sides by -4: x = 5/4"], "final_answer": "5/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x = -8x - 5", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": -8, \"c\": 5}", "seed": "16617957218773884890", "semantic_fingerprint": "sha256:955fd0dc999df7ed3eb71846562aa9b9a7d77557c575906468d296bc2f7fd879", "generator_version": "3.0"}
{"id": "v3_test_id_00000506", "prompt": "What is -370 - (-686)?", "solution_steps": ["Subtract: -370 - (-686) = 316"], "final_answer": "316", "answer_type": "integer", "kind": "expression", "math_text": "-370 - (-686)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -370, \"b\": -686}", "seed": "18355750810420593757", "semantic_fingerprint": "sha256:8c1b7a73ca4bf8071c1ef1e9097efaec0f077f9e1272c93a235c81912234f99f", "generator_version": "3.0"}
{"id": "v3_test_id_00000507", "prompt": "What is 0 * (39 * 3 / 986)?", "solution_steps": ["Multiply: 39 * 3 = 117", "Divide: 117 / 986 = 117/986", "Multiply: 0 * (117/986) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (39 * 3 / 986)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 39, \"c\": 3, \"d\": 986}", "seed": "9616005384060776059", "semantic_fingerprint": "sha256:91865528257c768f9480eb1cb041382e748b71f3eda037198c33a11bbcd04798", "generator_version": "3.0"}
{"id": "v3_test_id_00000508", "prompt": "What is -5 + 88 - (-6 + 0) * (-54)?", "solution_steps": ["Add: -5 + 88 = 83", "Add: -6 + 0 = -6", "Multiply: -6 * (-54) = 324", "Subtract: 83 - 324 = -241"], "final_answer": "-241", "answer_type": "integer", "kind": "expression", "math_text": "-5 + 88 - (-6 + 0) * (-54)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (* (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 88, \"c\": -6, \"d\": 0, \"e\": -54}", "seed": "15995642658332632428", "semantic_fingerprint": "sha256:1c9aab701c673e164acd16ed476d6498c94f9d1adf32cd5d2135a16e2b304a56", "generator_version": "3.0"}
{"id": "v3_test_id_00000509", "prompt": "Compute: -10 - (-8)", "solution_steps": ["Subtract: -10 - (-8) = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "expression", "math_text": "-10 - (-8)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": -8}", "seed": "17803891996471818341", "semantic_fingerprint": "sha256:e8d66c6a2ddd06a480fc4c372106e5947bb19ce0b3e437d5e62e26f29434ebbd", "generator_version": "3.0"}
{"id": "v3_test_id_00000510", "prompt": "Find x: 6x = x", "solution_steps": ["Subtract x from both sides: 5x = 0", "Divide both sides by 5: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6}", "seed": "16476815107378849854", "semantic_fingerprint": "sha256:42addba5a9514dce45104d085e6b074b749f2c88e03fe9189b6c49b36ef0b0ed", "generator_version": "3.0"}
{"id": "v3_test_id_00000511", "prompt": "Solve for x: -5x - 6 = 12(x - 63) + 954", "solution_steps": ["Expand: -5x - 6 = 12x - 756 + 954", "Combine constants: -5x - 6 = 12x + 198", "Subtract 12x from both sides: -17x - 6 = 198", "Add 6 to both sides: -17x = 204", "Divide both sides by -17: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 6 = 12(x - 63) + 954", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 6, \"c\": 12, \"d\": 63, \"f\": 954, \"x\": -12}", "seed": "16605523761936267995", "semantic_fingerprint": "sha256:e3a351cb849d89c750d90bdfccf3ba153e3b5c424ec1023d31a21e6b8d661f62", "generator_version": "3.0"}
{"id": "v3_test_id_00000512", "prompt": "What is -62 + (-88) / (-61 - 240 / (-20) * (-678))?", "solution_steps": ["Divide: 240 / (-20) = -12", "Multiply: -12 * (-678) = 8136", "Subtract: -61 - 8136 = -8197", "Divide: -88 / (-8197) = 88/8197", "Add: -62 + 88/8197 = -508126/8197"], "final_answer": "-508126/8197", "answer_type": "rational", "kind": "expression", "math_text": "-62 + (-88) / (-61 - 240 / (-20) * (-678))", "variable": null, "family": "expression_5op", "shape": "(+ n (/ n (- n (* (/ n n) n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": -88, \"c\": -61, \"d\": 240, \"e\": -20, \"f\": -678}", "seed": "132470887422585959", "semantic_fingerprint": "sha256:1033fca4aaaffbe524a1996e2286c53e5f0669d16dcb8db085278bd82a042687", "generator_version": "3.0"}
{"id": "v3_test_id_00000513", "prompt": "Calculate: 67 / (-6 - (8 + 8))", "solution_steps": ["Add: 8 + 8 = 16", "Subtract: -6 - 16 = -22", "Divide: 67 / (-22) = -67/22"], "final_answer": "-67/22", "answer_type": "rational", "kind": "expression", "math_text": "67 / (-6 - (8 + 8))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": -6, \"c\": 8, \"d\": 8}", "seed": "86278724253485030", "semantic_fingerprint": "sha256:d7f509e2a1bf18220ce6f1cf64fe469628df11be87771f973cb888fc5d9eb7f4", "generator_version": "3.0"}
{"id": "v3_test_id_00000514", "prompt": "What is -129 * (-7 - 904 * (-8))?", "solution_steps": ["Multiply: 904 * (-8) = -7232", "Subtract: -7 - (-7232) = 7225", "Multiply: -129 * 7225 = -932025"], "final_answer": "-932025", "answer_type": "integer", "kind": "expression", "math_text": "-129 * (-7 - 904 * (-8))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -129, \"b\": -7, \"c\": 904, \"d\": -8}", "seed": "10615486094191311941", "semantic_fingerprint": "sha256:552db9a5d7ceeef005a60cc454721a715ce5444d2f08433bb6d41393a33bf149", "generator_version": "3.0"}
{"id": "v3_test_id_00000515", "prompt": "Solve the equation -3(x + 93) - 53 = 3x + 75 for x.", "solution_steps": ["Expand: -3x - 279 - 53 = 3x + 75", "Combine constants: -3x - 332 = 3x + 75", "Subtract 3x from both sides: -6x - 332 = 75", "Add 332 to both sides: -6x = 407", "Divide both sides by -6: x = -407/6"], "final_answer": "-407/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x + 93) - 53 = 3x + 75", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 93, \"c\": 53, \"d\": 3, \"e\": 75}", "seed": "11014591377674260391", "semantic_fingerprint": "sha256:eaff3f8a53a0795596803ddf19c15cb391f4494d7b97c849b91b84ea9f2cf83b", "generator_version": "3.0"}
{"id": "v3_test_id_00000516", "prompt": "Compute: -65 - (-7) - (5 - 54)", "solution_steps": ["Subtract: -65 - (-7) = -58", "Subtract: 5 - 54 = -49", "Subtract: -58 - (-49) = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "expression", "math_text": "-65 - (-7) - (5 - 54)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -7, \"c\": 5, \"d\": 54}", "seed": "14966179755493944945", "semantic_fingerprint": "sha256:707e963b0ffb3841a1be1c78e4dda7d3b46130e2c274e9bce1aa3f0fdbb0ddff", "generator_version": "3.0"}
{"id": "v3_test_id_00000517", "prompt": "Solve the equation x - 46 = -6x + 73 for x.", "solution_steps": ["Add 6x to both sides: 7x - 46 = 73", "Add 46 to both sides: 7x = 119", "Divide both sides by 7: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 46 = -6x + 73", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": -6, \"d\": 73, \"x\": 17}", "seed": "6353069886287810958", "semantic_fingerprint": "sha256:a2fe6e92714bc2a863ad3af988cf5eee1c899e65a944090f093521a8d490f3dc", "generator_version": "3.0"}
{"id": "v3_test_id_00000518", "prompt": "What value of x satisfies 8(x + 809) = x?", "solution_steps": ["Expand: 8x + 6472 = x", "Subtract x from both sides: 7x + 6472 = 0", "Subtract 6472 from both sides: 7x = -6472", "Divide both sides by 7: x = -6472/7"], "final_answer": "-6472/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 809) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 809}", "seed": "4088938577620694647", "semantic_fingerprint": "sha256:cfad4011c632f47b31c792bedb860f6693ecb44d0693b10dfc49cb4d85e8bfd3", "generator_version": "3.0"}
{"id": "v3_test_id_00000519", "prompt": "Evaluate: 1 / 9 * (-8 + (-52))", "solution_steps": ["Divide: 1 / 9 = 1/9", "Add: -8 + (-52) = -60", "Multiply: (1/9) * (-60) = -20/3"], "final_answer": "-20/3", "answer_type": "rational", "kind": "expression", "math_text": "1 / 9 * (-8 + (-52))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 9, \"c\": -8, \"d\": -52}", "seed": "4387210625398493414", "semantic_fingerprint": "sha256:9b44f0d1c82e87ae4032d36265782e4f73c62785061c01a5445b9930e7b22245", "generator_version": "3.0"}
{"id": "v3_test_id_00000520", "prompt": "Compute: 6 + 34 - (-8 / 28 - 9) * (-941)", "solution_steps": ["Add: 6 + 34 = 40", "Divide: -8 / 28 = -2/7", "Subtract: -2/7 - 9 = -65/7", "Multiply: (-65/7) * (-941) = 61165/7", "Subtract: 40 - 61165/7 = -60885/7"], "final_answer": "-60885/7", "answer_type": "rational", "kind": "expression", "math_text": "6 + 34 - (-8 / 28 - 9) * (-941)", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (* (- (/ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 34, \"c\": -8, \"d\": 28, \"e\": 9, \"f\": -941}", "seed": "17776589729708928967", "semantic_fingerprint": "sha256:8bd7c02f4add076fc1c78c4623ad4ad3afc9df0b12d5559c828c615609cb7add", "generator_version": "3.0"}
{"id": "v3_test_id_00000521", "prompt": "Compute: -52 * (-13 + (190 - 409))", "solution_steps": ["Subtract: 190 - 409 = -219", "Add: -13 + (-219) = -232", "Multiply: -52 * (-232) = 12064"], "final_answer": "12064", "answer_type": "integer", "kind": "expression", "math_text": "-52 * (-13 + (190 - 409))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": -13, \"c\": 190, \"d\": 409}", "seed": "6691614951836702141", "semantic_fingerprint": "sha256:206988d669485bebddf564b68a4302fe7860febf40a595c7e101eb692813d790", "generator_version": "3.0"}
{"id": "v3_test_id_00000522", "prompt": "Calculate: -780 * (-161)", "solution_steps": ["Multiply: -780 * (-161) = 125580"], "final_answer": "125580", "answer_type": "integer", "kind": "expression", "math_text": "-780 * (-161)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -780, \"b\": -161}", "seed": "298012983040513304", "semantic_fingerprint": "sha256:05d2af2a44d076a33a2292146fc7f55e521e1fa4785215d7baaa5abf2ff0ca7c", "generator_version": "3.0"}
{"id": "v3_test_id_00000523", "prompt": "What is 0 / 7 / 625 - 629 * (-74)?", "solution_steps": ["Divide: 0 / 7 = 0", "Divide: 0 / 625 = 0", "Multiply: 629 * (-74) = -46546", "Subtract: 0 - (-46546) = 46546"], "final_answer": "46546", "answer_type": "integer", "kind": "expression", "math_text": "0 / 7 / 625 - 629 * (-74)", "variable": null, "family": "expression_4op", "shape": "(- (/ (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 7, \"c\": 625, \"d\": 629, \"e\": -74}", "seed": "13034580635569500397", "semantic_fingerprint": "sha256:f4f9ab776a363e40e772bf058f8442f24837b0cf2d93e26b4e8258705baea042", "generator_version": "3.0"}
{"id": "v3_test_id_00000524", "prompt": "Calculate: 5 * 12 / (-7)", "solution_steps": ["Multiply: 5 * 12 = 60", "Divide: 60 / (-7) = -60/7"], "final_answer": "-60/7", "answer_type": "rational", "kind": "expression", "math_text": "5 * 12 / (-7)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 12, \"c\": -7}", "seed": "16145989302538697933", "semantic_fingerprint": "sha256:30ff83a6bc94f21a3b505dc859cfcae4595b8c19295fe72cf55a6fee2657caee", "generator_version": "3.0"}
{"id": "v3_test_id_00000525", "prompt": "What is -56 / (-2) - (36 + (-9))?", "solution_steps": ["Divide: -56 / (-2) = 28", "Add: 36 + (-9) = 27", "Subtract: 28 - 27 = 1"], "final_answer": "1", "answer_type": "integer", "kind": "expression", "math_text": "-56 / (-2) - (36 + (-9))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": -2, \"c\": 36, \"d\": -9}", "seed": "6717465840733259326", "semantic_fingerprint": "sha256:769805189491bc9de3925df33187e911eced39e0d420db6b6efd9031d6f15f20", "generator_version": "3.0"}
{"id": "v3_test_id_00000526", "prompt": "What is (-528 - 0) * ((-3 + 5) * 295)?", "solution_steps": ["Subtract: -528 - 0 = -528", "Add: -3 + 5 = 2", "Multiply: 2 * 295 = 590", "Multiply: -528 * 590 = -311520"], "final_answer": "-311520", "answer_type": "integer", "kind": "expression", "math_text": "(-528 - 0) * ((-3 + 5) * 295)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (* (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -528, \"b\": 0, \"c\": -3, \"d\": 5, \"e\": 295}", "seed": "7860159712779440854", "semantic_fingerprint": "sha256:6183be3914c1d80d968b7a27abb3265570ab315a02ef9409d29ccb94a2f2fc6c", "generator_version": "3.0"}
{"id": "v3_test_id_00000527", "prompt": "Evaluate: 15 - (-58 + (66 - 865 + 912))", "solution_steps": ["Subtract: 66 - 865 = -799", "Add: -799 + 912 = 113", "Add: -58 + 113 = 55", "Subtract: 15 - 55 = -40"], "final_answer": "-40", "answer_type": "integer", "kind": "expression", "math_text": "15 - (-58 + (66 - 865 + 912))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (+ (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": -58, \"c\": 66, \"d\": 865, \"e\": 912}", "seed": "637990279689716957", "semantic_fingerprint": "sha256:9b30ea8546101163b95bb41eb5a6c87317eb2b41a5518712d2ee906de99d4d08", "generator_version": "3.0"}
{"id": "v3_test_id_00000528", "prompt": "Calculate: 574 + 646", "solution_steps": ["Add: 574 + 646 = 1220"], "final_answer": "1220", "answer_type": "integer", "kind": "expression", "math_text": "574 + 646", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 574, \"b\": 646}", "seed": "15057737496301128037", "semantic_fingerprint": "sha256:aa9d89addfdb7f2287a2e7e8ba47354cfb92620f7da5a07b4e02feba43336f32", "generator_version": "3.0"}
{"id": "v3_test_id_00000529", "prompt": "Compute: (-29 - (-24)) / (1 / 8 * (-7 - (-864)))", "solution_steps": ["Subtract: -29 - (-24) = -5", "Divide: 1 / 8 = 1/8", "Subtract: -7 - (-864) = 857", "Multiply: (1/8) * 857 = 857/8", "Divide: -5 / (857/8) = -40/857"], "final_answer": "-40/857", "answer_type": "rational", "kind": "expression", "math_text": "(-29 - (-24)) / (1 / 8 * (-7 - (-864)))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (* (/ n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": -24, \"c\": 1, \"d\": 8, \"e\": -7, \"f\": -864}", "seed": "7337556578705322826", "semantic_fingerprint": "sha256:932f15e5ff57906ea273ee05114f2ee98e66161ef2a1921bef7328e9ebd2ebc9", "generator_version": "3.0"}
{"id": "v3_test_id_00000530", "prompt": "What is (-654 - 35) / (-386)?", "solution_steps": ["Subtract: -654 - 35 = -689", "Divide: -689 / (-386) = 689/386"], "final_answer": "689/386", "answer_type": "rational", "kind": "expression", "math_text": "(-654 - 35) / (-386)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -654, \"b\": 35, \"c\": -386}", "seed": "13036635855919143897", "semantic_fingerprint": "sha256:6dcdf062275d70fded2cecbe54345433c9d93765b459f48b273027fa71e86566", "generator_version": "3.0"}
{"id": "v3_test_id_00000531", "prompt": "Compute: (11 - (-826 + 80) - (-1)) * 677", "solution_steps": ["Add: -826 + 80 = -746", "Subtract: 11 - (-746) = 757", "Subtract: 757 - (-1) = 758", "Multiply: 758 * 677 = 513166"], "final_answer": "513166", "answer_type": "integer", "kind": "expression", "math_text": "(11 - (-826 + 80) - (-1)) * 677", "variable": null, "family": "expression_4op", "shape": "(* (- (- n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -826, \"c\": 80, \"d\": -1, \"e\": 677}", "seed": "4745448176214804768", "semantic_fingerprint": "sha256:da992c3a5eddf108b9ddd9a62a70aa53c978d94776fb06e3768c429fbf7f76e6", "generator_version": "3.0"}
{"id": "v3_test_id_00000532", "prompt": "Calculate: -8 - 808 - 81 * (-45)", "solution_steps": ["Subtract: -8 - 808 = -816", "Multiply: 81 * (-45) = -3645", "Subtract: -816 - (-3645) = 2829"], "final_answer": "2829", "answer_type": "integer", "kind": "expression", "math_text": "-8 - 808 - 81 * (-45)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 808, \"c\": 81, \"d\": -45}", "seed": "2889182920867166848", "semantic_fingerprint": "sha256:a32123012aee9cca8353557004b2bf71c0b03621d06a1f6da797a42d60532536", "generator_version": "3.0"}
{"id": "v3_test_id_00000533", "prompt": "What is (33 * 0 - (-11 - 78)) * 1?", "solution_steps": ["Multiply: 33 * 0 = 0", "Subtract: -11 - 78 = -89", "Subtract: 0 - (-89) = 89", "Multiply: 89 * 1 = 89"], "final_answer": "89", "answer_type": "integer", "kind": "expression", "math_text": "(33 * 0 - (-11 - 78)) * 1", "variable": null, "family": "expression_4op", "shape": "(* (- (* n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": 0, \"c\": -11, \"d\": 78, \"e\": 1}", "seed": "15728962438500403609", "semantic_fingerprint": "sha256:4871cb5e8cb6235de1b7d847d8fadb803e0266e814a0fa783e611c7da0ab2c21", "generator_version": "3.0"}
{"id": "v3_test_id_00000534", "prompt": "What is -85 + 72 + (-84)?", "solution_steps": ["Add: -85 + 72 = -13", "Add: -13 + (-84) = -97"], "final_answer": "-97", "answer_type": "integer", "kind": "expression", "math_text": "-85 + 72 + (-84)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": 72, \"c\": -84}", "seed": "3891994876029662392", "semantic_fingerprint": "sha256:3379650c9e4d4488814c66cb29169e644a3b3ba2689dc49ce675ff7a32fb91ab", "generator_version": "3.0"}
{"id": "v3_test_id_00000535", "prompt": "Evaluate: 904 * 3 / 46 + (-6 - 49) / (-78)", "solution_steps": ["Multiply: 904 * 3 = 2712", "Divide: 2712 / 46 = 1356/23", "Subtract: -6 - 49 = -55", "Divide: -55 / (-78) = 55/78", "Add: 1356/23 + 55/78 = 107033/1794"], "final_answer": "107033/1794", "answer_type": "rational", "kind": "expression", "math_text": "904 * 3 / 46 + (-6 - 49) / (-78)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (* n n) n) (/ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 904, \"b\": 3, \"c\": 46, \"d\": -6, \"e\": 49, \"f\": -78}", "seed": "5379881950294995391", "semantic_fingerprint": "sha256:96dca66d1e877bfff83c4695bf0b6e16cc02cff98780f7c78f4b34bccdcd095c", "generator_version": "3.0"}
{"id": "v3_test_id_00000536", "prompt": "Compute: 203 / (-8) / (73 - 413) - (-8)", "solution_steps": ["Divide: 203 / (-8) = -203/8", "Subtract: 73 - 413 = -340", "Divide: (-203/8) / (-340) = 203/2720", "Subtract: 203/2720 - (-8) = 21963/2720"], "final_answer": "21963/2720", "answer_type": "rational", "kind": "expression", "math_text": "203 / (-8) / (73 - 413) - (-8)", "variable": null, "family": "expression_4op", "shape": "(- (/ (/ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 203, \"b\": -8, \"c\": 73, \"d\": 413, \"e\": -8}", "seed": "10567812331491813259", "semantic_fingerprint": "sha256:10978fa35353387c74703650dde5967c3fb564fcb194a9a0aedbfdd9593137af", "generator_version": "3.0"}
{"id": "v3_test_id_00000537", "prompt": "What value of x satisfies -9(x - 37) = 11x?", "solution_steps": ["Expand: -9x + 333 = 11x", "Subtract 11x from both sides: -20x + 333 = 0", "Subtract 333 from both sides: -20x = -333", "Divide both sides by -20: x = 333/20"], "final_answer": "333/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 37) = 11x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 37, \"c\": 11}", "seed": "334913769121294103", "semantic_fingerprint": "sha256:d188bf49d8c1ff9b41a930c9ef81efbb2bfde44527d4bfc5b851368f0d56e06c", "generator_version": "3.0"}
{"id": "v3_test_id_00000538", "prompt": "What value of x satisfies -3(x + 3) - 81 = -11(x + 16) - 4?", "solution_steps": ["Expand: -3x - 9 - 81 = -11(x + 16) - 4", "Expand: -3x - 9 - 81 = -11x - 176 - 4", "Combine constants: -3x - 90 = -11x - 176 - 4", "Combine constants: -3x - 90 = -11x - 180", "Add 11x to both sides: 8x - 90 = -180", "Add 90 to both sides: 8x = -90", "Divide both sides by 8: x = -45/4"], "final_answer": "-45/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x + 3) - 81 = -11(x + 16) - 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 3, \"c\": 81, \"d\": -11, \"e\": 16, \"f\": 4}", "seed": "995679700391087286", "semantic_fingerprint": "sha256:318d62e68aca833d5be768b24e3168cec9c5b844ddf84539b8c619ff039fcaeb", "generator_version": "3.0"}
{"id": "v3_test_id_00000539", "prompt": "Solve for x: x + 74 = -11(x - 871) - 23", "solution_steps": ["Expand: x + 74 = -11x + 9581 - 23", "Combine constants: x + 74 = -11x + 9558", "Add 11x to both sides: 12x + 74 = 9558", "Subtract 74 from both sides: 12x = 9484", "Divide both sides by 12: x = 2371/3"], "final_answer": "2371/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 74 = -11(x - 871) - 23", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": -11, \"c\": 871, \"d\": 23}", "seed": "5338604167795576720", "semantic_fingerprint": "sha256:1203f327eb7de3cf69bab31b550a8763742481397c12705f092bfea93110a793", "generator_version": "3.0"}
{"id": "v3_test_id_00000540", "prompt": "Find x: 7(x + 69) + 58 = 674", "solution_steps": ["Expand: 7x + 483 + 58 = 674", "Combine constants: 7x + 541 = 674", "Subtract 541 from both sides: 7x = 133", "Divide both sides by 7: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 69) + 58 = 674", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 69, \"c\": 58, \"e\": 674, \"x\": 19}", "seed": "5117212119817473180", "semantic_fingerprint": "sha256:1c3d7f5127749d5c5ecb25aca1aff2c84e4125afd484d6843e243df7fffd5dbd", "generator_version": "3.0"}
{"id": "v3_test_id_00000541", "prompt": "Find x: 7(x + 72) - 12 = -74", "solution_steps": ["Expand: 7x + 504 - 12 = -74", "Combine constants: 7x + 492 = -74", "Subtract 492 from both sides: 7x = -566", "Divide both sides by 7: x = -566/7"], "final_answer": "-566/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 72) - 12 = -74", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 72, \"c\": 12, \"d\": -74}", "seed": "15419274323564696098", "semantic_fingerprint": "sha256:b8ba23b4bdc6fbf454811b662d786a2028d55fcf8e0413fc967ce28077a03931", "generator_version": "3.0"}
{"id": "v3_test_id_00000542", "prompt": "What is -183 + (21 - 34)?", "solution_steps": ["Subtract: 21 - 34 = -13", "Add: -183 + (-13) = -196"], "final_answer": "-196", "answer_type": "integer", "kind": "expression", "math_text": "-183 + (21 - 34)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -183, \"b\": 21, \"c\": 34}", "seed": "11810840325303123215", "semantic_fingerprint": "sha256:07673daa84c64bfe870be04cdd7564366e774f2eabe7950c6fe45decf4f020c0", "generator_version": "3.0"}
{"id": "v3_test_id_00000543", "prompt": "What is -8 * (66 - (-76))?", "solution_steps": ["Subtract: 66 - (-76) = 142", "Multiply: -8 * 142 = -1136"], "final_answer": "-1136", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (66 - (-76))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 66, \"c\": -76}", "seed": "8578826050992788650", "semantic_fingerprint": "sha256:c6c554549b7ea349932156c8893ebb3058c285de413d1a3ba4f34361aba2b10c", "generator_version": "3.0"}
{"id": "v3_test_id_00000544", "prompt": "Solve the equation -3(x - 46) = 4x for x.", "solution_steps": ["Expand: -3x + 138 = 4x", "Subtract 4x from both sides: -7x + 138 = 0", "Subtract 138 from both sides: -7x = -138", "Divide both sides by -7: x = 138/7"], "final_answer": "138/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 46) = 4x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 46, \"c\": 4}", "seed": "13853223311903100464", "semantic_fingerprint": "sha256:c717c20d03ec824e7c62c8b2dd9b7b237796868e66dc5cf8d101125b43d66a65", "generator_version": "3.0"}
{"id": "v3_test_id_00000545", "prompt": "What is 5 * (-6 * 24 - 60) - (-3)?", "solution_steps": ["Multiply: -6 * 24 = -144", "Subtract: -144 - 60 = -204", "Multiply: 5 * (-204) = -1020", "Subtract: -1020 - (-3) = -1017"], "final_answer": "-1017", "answer_type": "integer", "kind": "expression", "math_text": "5 * (-6 * 24 - 60) - (-3)", "variable": null, "family": "expression_4op", "shape": "(- (* n (- (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -6, \"c\": 24, \"d\": 60, \"e\": -3}", "seed": "553689782800144516", "semantic_fingerprint": "sha256:a0a6e085ab0fc262bb379e3e5129b21a749d48452f12f4471d3e006f87e07cc0", "generator_version": "3.0"}
{"id": "v3_test_id_00000546", "prompt": "Calculate: -8 * (-2) - (-72 + (-17) + 26) + (-6)", "solution_steps": ["Multiply: -8 * (-2) = 16", "Add: -72 + (-17) = -89", "Add: -89 + 26 = -63", "Subtract: 16 - (-63) = 79", "Add: 79 + (-6) = 73"], "final_answer": "73", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (-2) - (-72 + (-17) + 26) + (-6)", "variable": null, "family": "expression_5op", "shape": "(+ (- (* n n) (+ (+ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -2, \"c\": -72, \"d\": -17, \"e\": 26, \"f\": -6}", "seed": "7889687087261852853", "semantic_fingerprint": "sha256:0a59c875b76b66f0f6be995222319c6647902d50efcd6a290e483bd08d4c3859", "generator_version": "3.0"}
{"id": "v3_test_id_00000547", "prompt": "Find x: -3(x - 39) + 886 = x + 77", "solution_steps": ["Expand: -3x + 117 + 886 = x + 77", "Combine constants: -3x + 1003 = x + 77", "Subtract x from both sides: -4x + 1003 = 77", "Subtract 1003 from both sides: -4x = -926", "Divide both sides by -4: x = 463/2"], "final_answer": "463/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 39) + 886 = x + 77", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 39, \"c\": 886, \"d\": 77}", "seed": "6182511714321173516", "semantic_fingerprint": "sha256:fcd53f7b1317b7c9ad5bdefd1e1c958013afe07bf9c45287ef7966c338998977", "generator_version": "3.0"}
{"id": "v3_test_id_00000548", "prompt": "What value of x satisfies -6(x + 357) = -11(x - 7)?", "solution_steps": ["Expand: -6x - 2142 = -11(x - 7)", "Expand: -6x - 2142 = -11x + 77", "Add 11x to both sides: 5x - 2142 = 77", "Add 2142 to both sides: 5x = 2219", "Divide both sides by 5: x = 2219/5"], "final_answer": "2219/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x + 357) = -11(x - 7)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 357, \"c\": -11, \"d\": 7}", "seed": "12804755385660016830", "semantic_fingerprint": "sha256:f947291cfa33e1947a4d998c4c261ce6e5d86d9b28a7dc7eecb61a9e0f67712f", "generator_version": "3.0"}
{"id": "v3_test_id_00000549", "prompt": "Compute: -73 * (5 / (-31)) + (-34) - (-925) / (-50)", "solution_steps": ["Divide: 5 / (-31) = -5/31", "Multiply: -73 * (-5/31) = 365/31", "Add: 365/31 + (-34) = -689/31", "Divide: -925 / (-50) = 37/2", "Subtract: -689/31 - 37/2 = -2525/62"], "final_answer": "-2525/62", "answer_type": "rational", "kind": "expression", "math_text": "-73 * (5 / (-31)) + (-34) - (-925) / (-50)", "variable": null, "family": "expression_5op", "shape": "(- (+ (* n (/ n n)) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": 5, \"c\": -31, \"d\": -34, \"e\": -925, \"f\": -50}", "seed": "4798755719840775425", "semantic_fingerprint": "sha256:ee89000ac9882b48e586b6c49ff249b8b092f60ee935088a60433bac60289b22", "generator_version": "3.0"}
{"id": "v3_test_id_00000550", "prompt": "Solve for x: 9(x - 2) = -12(x - 574) + 2", "solution_steps": ["Expand: 9x - 18 = -12(x - 574) + 2", "Expand: 9x - 18 = -12x + 6888 + 2", "Combine constants: 9x - 18 = -12x + 6890", "Add 12x to both sides: 21x - 18 = 6890", "Add 18 to both sides: 21x = 6908", "Divide both sides by 21: x = 6908/21"], "final_answer": "6908/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 2) = -12(x - 574) + 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": -12, \"d\": 574, \"e\": 2}", "seed": "17447237030107936726", "semantic_fingerprint": "sha256:b6be8c8bac55cc4cd2d787123c8c56878b05e14b29a96ba91208027d18769a6b", "generator_version": "3.0"}
{"id": "v3_test_id_00000551", "prompt": "Solve for x: -5x = 2", "solution_steps": ["Divide both sides by -5: x = -2/5"], "final_answer": "-2/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5x = 2", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 2}", "seed": "12932278933143365019", "semantic_fingerprint": "sha256:57bebb5d28bb73237157ed418f775c7dabf31ffc4352009ac1998d550aa11813", "generator_version": "3.0"}
{"id": "v3_test_id_00000552", "prompt": "What is -9 * (-13) * (-9)?", "solution_steps": ["Multiply: -9 * (-13) = 117", "Multiply: 117 * (-9) = -1053"], "final_answer": "-1053", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (-13) * (-9)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -13, \"c\": -9}", "seed": "5204608944844656363", "semantic_fingerprint": "sha256:5debb7309808e332f1771b4a69c6a112e861723027bb6f794de69148c588ed02", "generator_version": "3.0"}
{"id": "v3_test_id_00000553", "prompt": "Compute: -2 / (-729 - 402) / (9 / 171)", "solution_steps": ["Subtract: -729 - 402 = -1131", "Divide: -2 / (-1131) = 2/1131", "Divide: 9 / 171 = 1/19", "Divide: (2/1131) / (1/19) = 38/1131"], "final_answer": "38/1131", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-729 - 402) / (9 / 171)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (- n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -729, \"c\": 402, \"d\": 9, \"e\": 171}", "seed": "12598431473221251754", "semantic_fingerprint": "sha256:c384cd5041fbfd0552627e5c76f5688f6c2804bd875bb8d3d437d050744ae3a3", "generator_version": "3.0"}
{"id": "v3_test_id_00000554", "prompt": "Find x: 4(x + 78) = x + 276", "solution_steps": ["Expand: 4x + 312 = x + 276", "Subtract x from both sides: 3x + 312 = 276", "Subtract 312 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 + 78) = x + 276", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 78, \"d\": 276, \"x\": -12}", "seed": "15340829838860248667", "semantic_fingerprint": "sha256:f14bc552f93e9fca5d1b35384ef8b48456a123a9d989c48d24386f4f89b6087a", "generator_version": "3.0"}
{"id": "v3_test_id_00000555", "prompt": "Solve for x: x - 60 = 7x", "solution_steps": ["Subtract 7x from both sides: -6x - 60 = 0", "Add 60 to both sides: -6x = 60", "Divide both sides by -6: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 60 = 7x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"c\": -60, \"x\": -10}", "seed": "18094687070526749504", "semantic_fingerprint": "sha256:3c5907d90b91e98e018ff7acc46ee89e703a42cd89dafb71cf4d542a73445387", "generator_version": "3.0"}
{"id": "v3_test_id_00000556", "prompt": "What is 9 + (-464) * (-74 + (-51))?", "solution_steps": ["Add: -74 + (-51) = -125", "Multiply: -464 * (-125) = 58000", "Add: 9 + 58000 = 58009"], "final_answer": "58009", "answer_type": "integer", "kind": "expression", "math_text": "9 + (-464) * (-74 + (-51))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -464, \"c\": -74, \"d\": -51}", "seed": "16972520748633695270", "semantic_fingerprint": "sha256:5ca5acc304387b531987e18bea4e683620a56d8d810d83859ebf9f9036039a98", "generator_version": "3.0"}
{"id": "v3_test_id_00000557", "prompt": "What value of x satisfies x + 64 = -3x?", "solution_steps": ["Add 3x to both sides: 4x + 64 = 0", "Subtract 64 from both sides: 4x = -64", "Divide both sides by 4: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 64 = -3x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"c\": 64, \"x\": -16}", "seed": "1814313741769766429", "semantic_fingerprint": "sha256:1600d3f7deabb89eb1cba9ca68ab148fd60c2bedf7fd8077c476b5c8a981d2b5", "generator_version": "3.0"}
{"id": "v3_test_id_00000558", "prompt": "Evaluate: (416 - 28) / 92", "solution_steps": ["Subtract: 416 - 28 = 388", "Divide: 388 / 92 = 97/23"], "final_answer": "97/23", "answer_type": "rational", "kind": "expression", "math_text": "(416 - 28) / 92", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 416, \"b\": 28, \"c\": 92}", "seed": "694905734120087041", "semantic_fingerprint": "sha256:850f5f525dc088889fbdf7f558c4348c3c2661f21da9c9278f2bd186788e9d24", "generator_version": "3.0"}
{"id": "v3_test_id_00000559", "prompt": "Calculate: 0 - 399 - (-166) * (-31)", "solution_steps": ["Subtract: 0 - 399 = -399", "Multiply: -166 * (-31) = 5146", "Subtract: -399 - 5146 = -5545"], "final_answer": "-5545", "answer_type": "integer", "kind": "expression", "math_text": "0 - 399 - (-166) * (-31)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 399, \"c\": -166, \"d\": -31}", "seed": "11356615565420430982", "semantic_fingerprint": "sha256:8098e68606f0a92365e090db7924667caf04715bcdbae69d330a455324907c21", "generator_version": "3.0"}
{"id": "v3_test_id_00000560", "prompt": "Compute: 9 * (25 / (-21 - 9) + (-89) * (-3))", "solution_steps": ["Subtract: -21 - 9 = -30", "Divide: 25 / (-30) = -5/6", "Multiply: -89 * (-3) = 267", "Add: -5/6 + 267 = 1597/6", "Multiply: 9 * (1597/6) = 4791/2"], "final_answer": "4791/2", "answer_type": "rational", "kind": "expression", "math_text": "9 * (25 / (-21 - 9) + (-89) * (-3))", "variable": null, "family": "expression_5op", "shape": "(* n (+ (/ n (- n n)) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 25, \"c\": -21, \"d\": 9, \"e\": -89, \"f\": -3}", "seed": "7527438788874484334", "semantic_fingerprint": "sha256:732bdc0fd2fdab02a10a373f273998597e8fa77fe815e9933ccb670701d31fb6", "generator_version": "3.0"}
{"id": "v3_test_id_00000561", "prompt": "Evaluate: 24 * (6 * 50 / (-956 + 62))", "solution_steps": ["Multiply: 6 * 50 = 300", "Add: -956 + 62 = -894", "Divide: 300 / (-894) = -50/149", "Multiply: 24 * (-50/149) = -1200/149"], "final_answer": "-1200/149", "answer_type": "rational", "kind": "expression", "math_text": "24 * (6 * 50 / (-956 + 62))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (* n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": 6, \"c\": 50, \"d\": -956, \"e\": 62}", "seed": "11376787103129552050", "semantic_fingerprint": "sha256:d6d042058e0de704fb932a32eeb249eae7caca47cb0ef8fa5bbee78f6c205b4a", "generator_version": "3.0"}
{"id": "v3_test_id_00000562", "prompt": "What value of x satisfies -8(x + 2) - 52 = -5(x - 142)?", "solution_steps": ["Expand: -8x - 16 - 52 = -5(x - 142)", "Expand: -8x - 16 - 52 = -5x + 710", "Combine constants: -8x - 68 = -5x + 710", "Add 5x to both sides: -3x - 68 = 710", "Add 68 to both sides: -3x = 778", "Divide both sides by -3: x = -778/3"], "final_answer": "-778/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x + 2) - 52 = -5(x - 142)", "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\": 52, \"d\": -5, \"e\": 142}", "seed": "16465253670543110981", "semantic_fingerprint": "sha256:7fbf99b94d7d3e43f58452eb378b140d8e0d2a7980524d35f5fd66d26600ca7b", "generator_version": "3.0"}
{"id": "v3_test_id_00000563", "prompt": "Evaluate: -92 - (-425 + (-7)) / (462 + (-89))", "solution_steps": ["Add: -425 + (-7) = -432", "Add: 462 + (-89) = 373", "Divide: -432 / 373 = -432/373", "Subtract: -92 - (-432/373) = -33884/373"], "final_answer": "-33884/373", "answer_type": "rational", "kind": "expression", "math_text": "-92 - (-425 + (-7)) / (462 + (-89))", "variable": null, "family": "expression_4op", "shape": "(- n (/ (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": -425, \"c\": -7, \"d\": 462, \"e\": -89}", "seed": "9622071724746149810", "semantic_fingerprint": "sha256:94926824fafcda57f67f425bd071703983e10effc26bc506f30607ac8f50b60a", "generator_version": "3.0"}
{"id": "v3_test_id_00000564", "prompt": "Calculate: 791 + (-5)", "solution_steps": ["Add: 791 + (-5) = 786"], "final_answer": "786", "answer_type": "integer", "kind": "expression", "math_text": "791 + (-5)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 791, \"b\": -5}", "seed": "13791057844919807820", "semantic_fingerprint": "sha256:d0343dc08e44431d42f5beef916050f54a2d1fe41ad3cf67c8077742c95b6a0b", "generator_version": "3.0"}
{"id": "v3_test_id_00000565", "prompt": "Compute: 42 * (429 - (-83)) / (-2 / (-9))", "solution_steps": ["Subtract: 429 - (-83) = 512", "Multiply: 42 * 512 = 21504", "Divide: -2 / (-9) = 2/9", "Divide: 21504 / (2/9) = 96768"], "final_answer": "96768", "answer_type": "integer", "kind": "expression", "math_text": "42 * (429 - (-83)) / (-2 / (-9))", "variable": null, "family": "expression_4op", "shape": "(/ (* n (- n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": 429, \"c\": -83, \"d\": -2, \"e\": -9}", "seed": "8122066048263320761", "semantic_fingerprint": "sha256:2b80948b6db98b4bce466f77b94faa022d8b92cec9e5548694f9330f06691845", "generator_version": "3.0"}
{"id": "v3_test_id_00000566", "prompt": "What value of x satisfies 10(x + 9) = 8(x + 807)?", "solution_steps": ["Expand: 10x + 90 = 8(x + 807)", "Expand: 10x + 90 = 8x + 6456", "Subtract 8x from both sides: 2x + 90 = 6456", "Subtract 90 from both sides: 2x = 6366", "Divide both sides by 2: x = 3183"], "final_answer": "3183", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 9) = 8(x + 807)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 9, \"c\": 8, \"d\": 807}", "seed": "3516957746979798617", "semantic_fingerprint": "sha256:dfddd94f658adee0447548bf815fc40f6ec3462328719233eca266e0c55b6789", "generator_version": "3.0"}
{"id": "v3_test_id_00000567", "prompt": "Calculate: -716 * 578 / 8 * (-4 * (6 * 0))", "solution_steps": ["Multiply: -716 * 578 = -413848", "Divide: -413848 / 8 = -51731", "Multiply: 6 * 0 = 0", "Multiply: -4 * 0 = 0", "Multiply: -51731 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-716 * 578 / 8 * (-4 * (6 * 0))", "variable": null, "family": "expression_5op", "shape": "(* (/ (* n n) n) (* n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -716, \"b\": 578, \"c\": 8, \"d\": -4, \"e\": 6, \"f\": 0}", "seed": "401764440628063764", "semantic_fingerprint": "sha256:84d378d29345062cc6d11c6b3b9bb4d66317062261004d09fe6fba31bac84246", "generator_version": "3.0"}
{"id": "v3_test_id_00000568", "prompt": "Evaluate: -30 + (-67) / (-73)", "solution_steps": ["Divide: -67 / (-73) = 67/73", "Add: -30 + 67/73 = -2123/73"], "final_answer": "-2123/73", "answer_type": "rational", "kind": "expression", "math_text": "-30 + (-67) / (-73)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": -67, \"c\": -73}", "seed": "17674470989918993694", "semantic_fingerprint": "sha256:ae7be98339307088bf134107ac6a158e1a26084dd4f4d22456d0bce3e6647ee0", "generator_version": "3.0"}
{"id": "v3_test_id_00000569", "prompt": "Compute: 54 + 0 - 627", "solution_steps": ["Add: 54 + 0 = 54", "Subtract: 54 - 627 = -573"], "final_answer": "-573", "answer_type": "integer", "kind": "expression", "math_text": "54 + 0 - 627", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 0, \"c\": 627}", "seed": "5454202730828608565", "semantic_fingerprint": "sha256:e0538f130353cac5346ebd9c5678fbefa6812e91525deadde72af75e0842a281", "generator_version": "3.0"}
{"id": "v3_test_id_00000570", "prompt": "Compute: 9 + (-4 * (-27) + 0 + 0 / 89)", "solution_steps": ["Multiply: -4 * (-27) = 108", "Add: 108 + 0 = 108", "Divide: 0 / 89 = 0", "Add: 108 + 0 = 108", "Add: 9 + 108 = 117"], "final_answer": "117", "answer_type": "integer", "kind": "expression", "math_text": "9 + (-4 * (-27) + 0 + 0 / 89)", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (+ (* n n) n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -4, \"c\": -27, \"d\": 0, \"e\": 0, \"f\": 89}", "seed": "1902587896254296700", "semantic_fingerprint": "sha256:7fa89199d3905a348d47d0c5404e6ef45e9fda366ab2d0ca0af5ed645e4ab8c0", "generator_version": "3.0"}
{"id": "v3_test_id_00000571", "prompt": "What value of x satisfies -8x = 3(x + 213)?", "solution_steps": ["Expand: -8x = 3x + 639", "Subtract 3x from both sides: -11x = 639", "Divide both sides by -11: x = -639/11"], "final_answer": "-639/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8x = 3(x + 213)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 3, \"c\": 213}", "seed": "10765438556398479699", "semantic_fingerprint": "sha256:e08977a891706e02197bd3511aee0b7298ac1acb71a36c1af5976a0397004baf", "generator_version": "3.0"}
{"id": "v3_test_id_00000572", "prompt": "Solve for x: -2x = 8(x - 76)", "solution_steps": ["Expand: -2x = 8x - 608", "Subtract 8x from both sides: -10x = -608", "Divide both sides by -10: x = 304/5"], "final_answer": "304/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2x = 8(x - 76)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 8, \"c\": 76}", "seed": "5274003218045288441", "semantic_fingerprint": "sha256:6abfa8dc5199b1b73c29528191bde129f277ef9e025cd622f7f04c9358632f69", "generator_version": "3.0"}
{"id": "v3_test_id_00000573", "prompt": "What value of x satisfies x = -10(x - 848) - 73?", "solution_steps": ["Expand: x = -10x + 8480 - 73", "Combine constants: x = -10x + 8407", "Add 10x to both sides: 11x = 8407", "Divide both sides by 11: x = 8407/11"], "final_answer": "8407/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -10(x - 848) - 73", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 848, \"c\": 73}", "seed": "10018594264534701846", "semantic_fingerprint": "sha256:b955647820a0d14426b42d63ff38e13eaa12853ba1a3fb7eb9ba3c46f875ca4b", "generator_version": "3.0"}
{"id": "v3_test_id_00000574", "prompt": "What value of x satisfies 5(x - 38) - 10 = x - 192?", "solution_steps": ["Expand: 5x - 190 - 10 = x - 192", "Combine constants: 5x - 200 = x - 192", "Subtract x from both sides: 4x - 200 = -192", "Add 200 to both sides: 4x = 8", "Divide both sides by 4: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 38) - 10 = x - 192", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 38, \"c\": 10, \"e\": -192, \"x\": 2}", "seed": "14262962660411850758", "semantic_fingerprint": "sha256:da5fd71353c55b1d2fa034f3e3baa24112a069543a12c7b1820977848d99427f", "generator_version": "3.0"}
{"id": "v3_test_id_00000575", "prompt": "Calculate: -40 * 7 + (57 * (-2) + (-895) + (-9))", "solution_steps": ["Multiply: -40 * 7 = -280", "Multiply: 57 * (-2) = -114", "Add: -114 + (-895) = -1009", "Add: -1009 + (-9) = -1018", "Add: -280 + (-1018) = -1298"], "final_answer": "-1298", "answer_type": "integer", "kind": "expression", "math_text": "-40 * 7 + (57 * (-2) + (-895) + (-9))", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (+ (+ (* n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": 7, \"c\": 57, \"d\": -2, \"e\": -895, \"f\": -9}", "seed": "15173918882513530865", "semantic_fingerprint": "sha256:d9af941ae78b1c7bf66b3433f93a489c1bd74eaff4eae8cb180c0f89f5dd3662", "generator_version": "3.0"}
{"id": "v3_test_id_00000576", "prompt": "Calculate: -978 * 40 - 495 * (-6) + 658", "solution_steps": ["Multiply: -978 * 40 = -39120", "Multiply: 495 * (-6) = -2970", "Subtract: -39120 - (-2970) = -36150", "Add: -36150 + 658 = -35492"], "final_answer": "-35492", "answer_type": "integer", "kind": "expression", "math_text": "-978 * 40 - 495 * (-6) + 658", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -978, \"b\": 40, \"c\": 495, \"d\": -6, \"e\": 658}", "seed": "14560754665237896995", "semantic_fingerprint": "sha256:7438f7ac0ce5ecf715b10d126a0ae8463a9bb98979062e529e5dc2e8c21ed911", "generator_version": "3.0"}
{"id": "v3_test_id_00000577", "prompt": "What is -84 * (364 - (-8))?", "solution_steps": ["Subtract: 364 - (-8) = 372", "Multiply: -84 * 372 = -31248"], "final_answer": "-31248", "answer_type": "integer", "kind": "expression", "math_text": "-84 * (364 - (-8))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": 364, \"c\": -8}", "seed": "10977290070786133313", "semantic_fingerprint": "sha256:3770acadf70895cdf75a30491a75472c8fad5112803714eecbf5f3d6b2f738f8", "generator_version": "3.0"}
{"id": "v3_test_id_00000578", "prompt": "What is 37 / (-16) / (-78) + (-224)?", "solution_steps": ["Divide: 37 / (-16) = -37/16", "Divide: (-37/16) / (-78) = 37/1248", "Add: 37/1248 + (-224) = -279515/1248"], "final_answer": "-279515/1248", "answer_type": "rational", "kind": "expression", "math_text": "37 / (-16) / (-78) + (-224)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": -16, \"c\": -78, \"d\": -224}", "seed": "1185255849444181744", "semantic_fingerprint": "sha256:cc4105aad5d10309726e8c99264d2e3a98aa5be36db93b5b104e1ab340345f73", "generator_version": "3.0"}
{"id": "v3_test_id_00000579", "prompt": "Evaluate: 3 * ((-425 - (-64)) * 8)", "solution_steps": ["Subtract: -425 - (-64) = -361", "Multiply: -361 * 8 = -2888", "Multiply: 3 * (-2888) = -8664"], "final_answer": "-8664", "answer_type": "integer", "kind": "expression", "math_text": "3 * ((-425 - (-64)) * 8)", "variable": null, "family": "expression_3op", "shape": "(* n (* (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -425, \"c\": -64, \"d\": 8}", "seed": "13022793347460735334", "semantic_fingerprint": "sha256:00346c897f1bff5a05ec1f5c8156e3842db325b46cfb3c602d48c8bf3b0a30fd", "generator_version": "3.0"}
{"id": "v3_test_id_00000580", "prompt": "Compute: (5 / 97 + (-71 + (-846))) * (0 / (-8))", "solution_steps": ["Divide: 5 / 97 = 5/97", "Add: -71 + (-846) = -917", "Add: 5/97 + (-917) = -88944/97", "Divide: 0 / (-8) = 0", "Multiply: (-88944/97) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(5 / 97 + (-71 + (-846))) * (0 / (-8))", "variable": null, "family": "expression_5op", "shape": "(* (+ (/ n n) (+ n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 97, \"c\": -71, \"d\": -846, \"e\": 0, \"f\": -8}", "seed": "5158960744896525513", "semantic_fingerprint": "sha256:1ea0353bed0c5cc90682ca891d5e92e61d998907f6d0606e9f3ecd76724aa5d6", "generator_version": "3.0"}
{"id": "v3_test_id_00000581", "prompt": "What value of x satisfies -6(x - 2) = x + 96?", "solution_steps": ["Expand: -6x + 12 = x + 96", "Subtract x from both sides: -7x + 12 = 96", "Subtract 12 from both sides: -7x = 84", "Divide both sides by -7: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 2) = x + 96", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 2, \"d\": 96, \"x\": -12}", "seed": "17748757546440942903", "semantic_fingerprint": "sha256:b4ae344e60e2349868d5e86b73614e2760a055ac93931e74a3d9560f0b5093c3", "generator_version": "3.0"}
{"id": "v3_test_id_00000582", "prompt": "Calculate: 7 * (-348) + (-8)", "solution_steps": ["Multiply: 7 * (-348) = -2436", "Add: -2436 + (-8) = -2444"], "final_answer": "-2444", "answer_type": "integer", "kind": "expression", "math_text": "7 * (-348) + (-8)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -348, \"c\": -8}", "seed": "10010738212651502122", "semantic_fingerprint": "sha256:c7ec55a182fa7b76f54affddf96e3525ebf09fa7986ccc27f5f363b64cfca2cf", "generator_version": "3.0"}
{"id": "v3_test_id_00000583", "prompt": "Evaluate: (-7 - 38) * (-89)", "solution_steps": ["Subtract: -7 - 38 = -45", "Multiply: -45 * (-89) = 4005"], "final_answer": "4005", "answer_type": "integer", "kind": "expression", "math_text": "(-7 - 38) * (-89)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 38, \"c\": -89}", "seed": "10598226301456133689", "semantic_fingerprint": "sha256:5e0d3387a0eab51bfe334d7e340b6d1bbf2d9f9d5d91a0ebbc383ceb97a1c227", "generator_version": "3.0"}
{"id": "v3_test_id_00000584", "prompt": "Compute: 22 / (-40)", "solution_steps": ["Divide: 22 / (-40) = -11/20"], "final_answer": "-11/20", "answer_type": "rational", "kind": "expression", "math_text": "22 / (-40)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": -40}", "seed": "16078195794187049043", "semantic_fingerprint": "sha256:70f53f0ab7ebc1c0e94f4d9524f6c1d2f3c19fea9193cec01579a6664f574256", "generator_version": "3.0"}
{"id": "v3_test_id_00000585", "prompt": "What is 0 + 0 * 79?", "solution_steps": ["Multiply: 0 * 79 = 0", "Add: 0 + 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 + 0 * 79", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 0, \"c\": 79}", "seed": "17079924401697757727", "semantic_fingerprint": "sha256:16c7863e03f78a6d9fdf9b33c50aca80a5f0ab909ce11d87d3545d04179f46fd", "generator_version": "3.0"}
{"id": "v3_test_id_00000586", "prompt": "Solve for x: 4x + 13 = -9x", "solution_steps": ["Add 9x to both sides: 13x + 13 = 0", "Subtract 13 from both sides: 13x = -13", "Divide both sides by 13: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x + 13 = -9x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 13, \"c\": -9}", "seed": "10365416367215070687", "semantic_fingerprint": "sha256:1f793468dde1afb602492cae8a121b21219709014f451ed2443017262070dc3b", "generator_version": "3.0"}
{"id": "v3_test_id_00000587", "prompt": "Calculate: (-81 - (-805)) / 831", "solution_steps": ["Subtract: -81 - (-805) = 724", "Divide: 724 / 831 = 724/831"], "final_answer": "724/831", "answer_type": "rational", "kind": "expression", "math_text": "(-81 - (-805)) / 831", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": -805, \"c\": 831}", "seed": "17916525750595218565", "semantic_fingerprint": "sha256:c2b1e8f04d6854c9f1a7d960af0dd820c88d6e10a16c4b2d064c837b5c33c7ce", "generator_version": "3.0"}
{"id": "v3_test_id_00000588", "prompt": "Compute: (-319 + (-388)) * (6 / (-84 / 7))", "solution_steps": ["Add: -319 + (-388) = -707", "Divide: -84 / 7 = -12", "Divide: 6 / (-12) = -1/2", "Multiply: -707 * (-1/2) = 707/2"], "final_answer": "707/2", "answer_type": "rational", "kind": "expression", "math_text": "(-319 + (-388)) * (6 / (-84 / 7))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (/ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -319, \"b\": -388, \"c\": 6, \"d\": -84, \"e\": 7}", "seed": "1217204116512348890", "semantic_fingerprint": "sha256:d6b8c6d1fe75e7972817c9d2da16f3958a36118283c98423dbd4b7a7f74efd22", "generator_version": "3.0"}
{"id": "v3_test_id_00000589", "prompt": "Solve the equation 11(x + 4) - 2 = 4(x - 3) - 79 for x.", "solution_steps": ["Expand: 11x + 44 - 2 = 4(x - 3) - 79", "Expand: 11x + 44 - 2 = 4x - 12 - 79", "Combine constants: 11x + 42 = 4x - 12 - 79", "Combine constants: 11x + 42 = 4x - 91", "Subtract 4x from both sides: 7x + 42 = -91", "Subtract 42 from both sides: 7x = -133", "Divide both sides by 7: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 4) - 2 = 4(x - 3) - 79", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": 2, \"d\": 4, \"e\": 3, \"g\": -79, \"x\": -19}", "seed": "547396561988859340", "semantic_fingerprint": "sha256:326184b43aeef62bf14518ec2b2597ce39b8d2fde94b8884bf08f197ce6f0c30", "generator_version": "3.0"}
{"id": "v3_test_id_00000590", "prompt": "Evaluate: 8 / 3 * 550", "solution_steps": ["Divide: 8 / 3 = 8/3", "Multiply: (8/3) * 550 = 4400/3"], "final_answer": "4400/3", "answer_type": "rational", "kind": "expression", "math_text": "8 / 3 * 550", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": 550}", "seed": "3159626727305167415", "semantic_fingerprint": "sha256:e48ab5576c6efb5e5c3aa0e47667d28b57af1c6486ec91e5c8395fe666c3a236", "generator_version": "3.0"}
{"id": "v3_test_id_00000591", "prompt": "Solve the equation -5(x - 4) - 86 = 10(x + 7) + 88 for x.", "solution_steps": ["Expand: -5x + 20 - 86 = 10(x + 7) + 88", "Expand: -5x + 20 - 86 = 10x + 70 + 88", "Combine constants: -5x - 66 = 10x + 70 + 88", "Combine constants: -5x - 66 = 10x + 158", "Subtract 10x from both sides: -15x - 66 = 158", "Add 66 to both sides: -15x = 224", "Divide both sides by -15: x = -224/15"], "final_answer": "-224/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 4) - 86 = 10(x + 7) + 88", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 4, \"c\": 86, \"d\": 10, \"e\": 7, \"f\": 88}", "seed": "16391619270630393892", "semantic_fingerprint": "sha256:2459ad472575e5874b20d8ec2ab8f61c4bfc6d27e87e65958ce9688be0a819ca", "generator_version": "3.0"}
{"id": "v3_test_id_00000592", "prompt": "What is -49 * (682 / (-428 + 955))?", "solution_steps": ["Add: -428 + 955 = 527", "Divide: 682 / 527 = 22/17", "Multiply: -49 * (22/17) = -1078/17"], "final_answer": "-1078/17", "answer_type": "rational", "kind": "expression", "math_text": "-49 * (682 / (-428 + 955))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": 682, \"c\": -428, \"d\": 955}", "seed": "9556526282974758952", "semantic_fingerprint": "sha256:4d9829b5e35088a82edac93e329a0dfba09ac781483a41f20b74c83d8a405c1b", "generator_version": "3.0"}
{"id": "v3_test_id_00000593", "prompt": "What value of x satisfies 4(x - 95) + 401 = x?", "solution_steps": ["Expand: 4x - 380 + 401 = x", "Combine constants: 4x + 21 = x", "Subtract x from both sides: 3x + 21 = 0", "Subtract 21 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 - 95) + 401 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 95, \"d\": 401, \"x\": -7}", "seed": "15654502886069299559", "semantic_fingerprint": "sha256:b9f30744fc2ea185b39a8860d87509b7cacd614115c45e6db1e7c09debf2a544", "generator_version": "3.0"}
{"id": "v3_test_id_00000594", "prompt": "Find x: 12(x - 45) = -3(x - 717) - 820", "solution_steps": ["Expand: 12x - 540 = -3(x - 717) - 820", "Expand: 12x - 540 = -3x + 2151 - 820", "Combine constants: 12x - 540 = -3x + 1331", "Add 3x to both sides: 15x - 540 = 1331", "Add 540 to both sides: 15x = 1871", "Divide both sides by 15: x = 1871/15"], "final_answer": "1871/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 45) = -3(x - 717) - 820", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 45, \"c\": -3, \"d\": 717, \"e\": 820}", "seed": "12087990661776587173", "semantic_fingerprint": "sha256:36b8f95ef2c335ac6333cc6651238b43d3fd4d62ef2fce9d3cee1bd3a64ec9b1", "generator_version": "3.0"}
{"id": "v3_test_id_00000595", "prompt": "Find x: x + 41 = 9(x + 23) - 150", "solution_steps": ["Expand: x + 41 = 9x + 207 - 150", "Combine constants: x + 41 = 9x + 57", "Subtract 9x from both sides: -8x + 41 = 57", "Subtract 41 from both sides: -8x = 16", "Divide both sides by -8: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 41 = 9(x + 23) - 150", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": 9, \"c\": 23, \"e\": -150, \"x\": -2}", "seed": "5960097262890300730", "semantic_fingerprint": "sha256:523f9363c13b78912bd73318c4661e4f0a1d039ff4862b463d5ed8f0cb32a1d5", "generator_version": "3.0"}
{"id": "v3_test_id_00000596", "prompt": "Calculate: -78 - 64", "solution_steps": ["Subtract: -78 - 64 = -142"], "final_answer": "-142", "answer_type": "integer", "kind": "expression", "math_text": "-78 - 64", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": 64}", "seed": "5299746466163034928", "semantic_fingerprint": "sha256:67f07ec3fd8dd43398b191ec5a0179de115419464f76bf906b6f03a825d71b52", "generator_version": "3.0"}
{"id": "v3_test_id_00000597", "prompt": "Calculate: 684 * 9 + (-7)", "solution_steps": ["Multiply: 684 * 9 = 6156", "Add: 6156 + (-7) = 6149"], "final_answer": "6149", "answer_type": "integer", "kind": "expression", "math_text": "684 * 9 + (-7)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 684, \"b\": 9, \"c\": -7}", "seed": "5173281872043973063", "semantic_fingerprint": "sha256:4797235756057af958853cd89575416db1a4f8986d08f2153900bab2009bfe99", "generator_version": "3.0"}
{"id": "v3_test_id_00000598", "prompt": "Compute: 70 * (4 * 0)", "solution_steps": ["Multiply: 4 * 0 = 0", "Multiply: 70 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "70 * (4 * 0)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": 4, \"c\": 0}", "seed": "9231032496968100448", "semantic_fingerprint": "sha256:dab67b280a617a2784b2d2577bde72ad26b37cd7b3133d9b68c960f4988fd06e", "generator_version": "3.0"}
{"id": "v3_test_id_00000599", "prompt": "Evaluate: 589 * 4 * 0", "solution_steps": ["Multiply: 589 * 4 = 2356", "Multiply: 2356 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "589 * 4 * 0", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 589, \"b\": 4, \"c\": 0}", "seed": "3076676878771768877", "semantic_fingerprint": "sha256:8d359187344dd87dd0f3165d929dc90c487fe487509728cfe2a8d5e5592fe6a1", "generator_version": "3.0"}
{"id": "v3_test_id_00000600", "prompt": "Find x: x = 4(x - 6)", "solution_steps": ["Expand: x = 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": "x = 4(x - 6)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6}", "seed": "8880623467681558501", "semantic_fingerprint": "sha256:bcf56c05664f64181c63d24e37312da7e0c1291b973d41a7aefa16b73a38bfe2", "generator_version": "3.0"}
{"id": "v3_test_id_00000601", "prompt": "Compute: -566 - (-11)", "solution_steps": ["Subtract: -566 - (-11) = -555"], "final_answer": "-555", "answer_type": "integer", "kind": "expression", "math_text": "-566 - (-11)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -566, \"b\": -11}", "seed": "3137944889139628916", "semantic_fingerprint": "sha256:7a2ab785a75edc99512da3b577968b8918d5589c8f1725ecd5fc41ca26d1791f", "generator_version": "3.0"}
{"id": "v3_test_id_00000602", "prompt": "Calculate: -68 / (-43) + (-852) / (-78 + 1)", "solution_steps": ["Divide: -68 / (-43) = 68/43", "Add: -78 + 1 = -77", "Divide: -852 / (-77) = 852/77", "Add: 68/43 + 852/77 = 41872/3311"], "final_answer": "41872/3311", "answer_type": "rational", "kind": "expression", "math_text": "-68 / (-43) + (-852) / (-78 + 1)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": -43, \"c\": -852, \"d\": -78, \"e\": 1}", "seed": "3596004220353941397", "semantic_fingerprint": "sha256:081c00af5269ea75ffdec906797ae4a38bac11bc61fdb71ac4ca23e553333f96", "generator_version": "3.0"}
{"id": "v3_test_id_00000603", "prompt": "Evaluate: 9 + 970 + (-7)", "solution_steps": ["Add: 9 + 970 = 979", "Add: 979 + (-7) = 972"], "final_answer": "972", "answer_type": "integer", "kind": "expression", "math_text": "9 + 970 + (-7)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 970, \"c\": -7}", "seed": "10101510834334164638", "semantic_fingerprint": "sha256:776504c02d5a90af40e13170b1b1e6d1920c5d85750e3acdac414c55968cb936", "generator_version": "3.0"}
{"id": "v3_test_id_00000604", "prompt": "What is (4 - (-23 - 40)) / (-2 - 778)?", "solution_steps": ["Subtract: -23 - 40 = -63", "Subtract: 4 - (-63) = 67", "Subtract: -2 - 778 = -780", "Divide: 67 / (-780) = -67/780"], "final_answer": "-67/780", "answer_type": "rational", "kind": "expression", "math_text": "(4 - (-23 - 40)) / (-2 - 778)", "variable": null, "family": "expression_4op", "shape": "(/ (- n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -23, \"c\": 40, \"d\": -2, \"e\": 778}", "seed": "5475654752501849339", "semantic_fingerprint": "sha256:f98f2ec5654f5d44e925042e40e03565afb12741d736176fe449b241e9577222", "generator_version": "3.0"}
{"id": "v3_test_id_00000605", "prompt": "Solve for x: 2(x - 1) + 381 = -4(x - 43) + 99", "solution_steps": ["Expand: 2x - 2 + 381 = -4(x - 43) + 99", "Expand: 2x - 2 + 381 = -4x + 172 + 99", "Combine constants: 2x + 379 = -4x + 172 + 99", "Combine constants: 2x + 379 = -4x + 271", "Add 4x to both sides: 6x + 379 = 271", "Subtract 379 from both sides: 6x = -108", "Divide both sides by 6: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 1) + 381 = -4(x - 43) + 99", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 1, \"c\": 381, \"d\": -4, \"e\": 43, \"g\": 99, \"x\": -18}", "seed": "1127651199420465404", "semantic_fingerprint": "sha256:3e7030389fc21d19f297321f04f4581b56ae57e1e6a98c359e71013f403cee53", "generator_version": "3.0"}
{"id": "v3_test_id_00000606", "prompt": "Compute: -7 / (-6 + (-82) - (-99))", "solution_steps": ["Add: -6 + (-82) = -88", "Subtract: -88 - (-99) = 11", "Divide: -7 / 11 = -7/11"], "final_answer": "-7/11", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (-6 + (-82) - (-99))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -6, \"c\": -82, \"d\": -99}", "seed": "8923958467663507524", "semantic_fingerprint": "sha256:5e2af7b66a12d52f9902c049918fd7e16874fb1d6b969e534317d65813ba9c72", "generator_version": "3.0"}
{"id": "v3_test_id_00000607", "prompt": "Calculate: 57 + (-1) * (-345)", "solution_steps": ["Multiply: -1 * (-345) = 345", "Add: 57 + 345 = 402"], "final_answer": "402", "answer_type": "integer", "kind": "expression", "math_text": "57 + (-1) * (-345)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": -1, \"c\": -345}", "seed": "3245840988502166175", "semantic_fingerprint": "sha256:6079ca09478f55c4fde74c362b0510c9e8b3120ac2b43ad0b46be826ee7e23fe", "generator_version": "3.0"}
{"id": "v3_test_id_00000608", "prompt": "What is 77 / 870?", "solution_steps": ["Divide: 77 / 870 = 77/870"], "final_answer": "77/870", "answer_type": "rational", "kind": "expression", "math_text": "77 / 870", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": 870}", "seed": "14048037330709293970", "semantic_fingerprint": "sha256:143328ed8fc9243d311fce4665bc8f90963788e60d86b7e629c272eb8cf02afd", "generator_version": "3.0"}
{"id": "v3_test_id_00000609", "prompt": "Solve for x: x + 33 = -10x", "solution_steps": ["Add 10x to both sides: 11x + 33 = 0", "Subtract 33 from both sides: 11x = -33", "Divide both sides by 11: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 33 = -10x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -10, \"c\": 33, \"x\": -3}", "seed": "5206589997304564200", "semantic_fingerprint": "sha256:ee7e9bffccb740189a815e39dbb2ebf0a9344d5fab69508ab6ca533d420b3e97", "generator_version": "3.0"}
{"id": "v3_test_id_00000610", "prompt": "What is (-194 - (-70)) / 294 * (563 - (6 + 4))?", "solution_steps": ["Subtract: -194 - (-70) = -124", "Divide: -124 / 294 = -62/147", "Add: 6 + 4 = 10", "Subtract: 563 - 10 = 553", "Multiply: (-62/147) * 553 = -4898/21"], "final_answer": "-4898/21", "answer_type": "rational", "kind": "expression", "math_text": "(-194 - (-70)) / 294 * (563 - (6 + 4))", "variable": null, "family": "expression_5op", "shape": "(* (/ (- n n) n) (- n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -194, \"b\": -70, \"c\": 294, \"d\": 563, \"e\": 6, \"f\": 4}", "seed": "10298437260890337176", "semantic_fingerprint": "sha256:cab17a8e1423e33b8e7eb360ce68127bb5d457f55657e0bcacb63e8585cd7527", "generator_version": "3.0"}
{"id": "v3_test_id_00000611", "prompt": "Compute: -170 / 87 - 597", "solution_steps": ["Divide: -170 / 87 = -170/87", "Subtract: -170/87 - 597 = -52109/87"], "final_answer": "-52109/87", "answer_type": "rational", "kind": "expression", "math_text": "-170 / 87 - 597", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -170, \"b\": 87, \"c\": 597}", "seed": "262676707108126051", "semantic_fingerprint": "sha256:b274d6332abfb4532f318fff10170801a4460031032f6311221e0f499f245c30", "generator_version": "3.0"}
{"id": "v3_test_id_00000612", "prompt": "Compute: (32 + 6 + (-107)) * 2 + 641", "solution_steps": ["Add: 32 + 6 = 38", "Add: 38 + (-107) = -69", "Multiply: -69 * 2 = -138", "Add: -138 + 641 = 503"], "final_answer": "503", "answer_type": "integer", "kind": "expression", "math_text": "(32 + 6 + (-107)) * 2 + 641", "variable": null, "family": "expression_4op", "shape": "(+ (* (+ (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": 6, \"c\": -107, \"d\": 2, \"e\": 641}", "seed": "18074047409830385922", "semantic_fingerprint": "sha256:56a30c5597e41e162c6d5f058e705da9b67510a0d3acac195d2adc97494c8e2f", "generator_version": "3.0"}
{"id": "v3_test_id_00000613", "prompt": "Evaluate: -87 - (-692 - 5)", "solution_steps": ["Subtract: -692 - 5 = -697", "Subtract: -87 - (-697) = 610"], "final_answer": "610", "answer_type": "integer", "kind": "expression", "math_text": "-87 - (-692 - 5)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": -692, \"c\": 5}", "seed": "12061297720742783175", "semantic_fingerprint": "sha256:73017ebf0a134cb5d045e1993e727aa40892ed72c5c1396809d28607aefde1fb", "generator_version": "3.0"}
{"id": "v3_test_id_00000614", "prompt": "Find x: 7x - 18 = x", "solution_steps": ["Subtract x from both sides: 6x - 18 = 0", "Add 18 to both sides: 6x = 18", "Divide both sides by 6: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 18 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"c\": -18, \"x\": 3}", "seed": "45994111820999280", "semantic_fingerprint": "sha256:2a3b62f7f73bc9b62b70914092b94962242f07a626569bb9f6b9411f8660643b", "generator_version": "3.0"}
{"id": "v3_test_id_00000615", "prompt": "What value of x satisfies x = 2(x + 4) - 4?", "solution_steps": ["Expand: x = 2x + 8 - 4", "Combine constants: x = 2x + 4", "Subtract 2x from both sides: -x = 4", "Divide both sides by -1: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 2(x + 4) - 4", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": 4}", "seed": "2966211704626019274", "semantic_fingerprint": "sha256:84f8cf7711c71806f72cdd39732bef9f90efbbce78bea4f739c21e9775679c8f", "generator_version": "3.0"}
{"id": "v3_test_id_00000616", "prompt": "Calculate: -7 + (-38 + 7)", "solution_steps": ["Add: -38 + 7 = -31", "Add: -7 + (-31) = -38"], "final_answer": "-38", "answer_type": "integer", "kind": "expression", "math_text": "-7 + (-38 + 7)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -38, \"c\": 7}", "seed": "10585096537133037724", "semantic_fingerprint": "sha256:4464f97474467f46e8ce9b124eb640d09a04bda7622621d5f68e822057d1d6f4", "generator_version": "3.0"}
{"id": "v3_test_id_00000617", "prompt": "Calculate: -38 - (-917 - (-2))", "solution_steps": ["Subtract: -917 - (-2) = -915", "Subtract: -38 - (-915) = 877"], "final_answer": "877", "answer_type": "integer", "kind": "expression", "math_text": "-38 - (-917 - (-2))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": -917, \"c\": -2}", "seed": "12259434435365247201", "semantic_fingerprint": "sha256:9a619b792e04355c74533704a358f7ad49145112ceea28aa8846bef22ecfbb0a", "generator_version": "3.0"}
{"id": "v3_test_id_00000618", "prompt": "Calculate: -58 + (8 - 196)", "solution_steps": ["Subtract: 8 - 196 = -188", "Add: -58 + (-188) = -246"], "final_answer": "-246", "answer_type": "integer", "kind": "expression", "math_text": "-58 + (8 - 196)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": 8, \"c\": 196}", "seed": "6581717482238814657", "semantic_fingerprint": "sha256:a5788fac2f8a47b1aad60700d08a3a30e3a2527265aec3c4ad9cbbc51930c691", "generator_version": "3.0"}
{"id": "v3_test_id_00000619", "prompt": "Solve for x: 2x = -18", "solution_steps": ["Divide both sides by 2: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = -18", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"c\": -18, \"x\": -9}", "seed": "5047925047302532430", "semantic_fingerprint": "sha256:946dab047936e3a5fb0d53423b9cab33b1df0b11d6682e3be418372b2326ad66", "generator_version": "3.0"}
{"id": "v3_test_id_00000620", "prompt": "What is 83 - 0 / (73 - 94) / 53?", "solution_steps": ["Subtract: 73 - 94 = -21", "Divide: 0 / (-21) = 0", "Divide: 0 / 53 = 0", "Subtract: 83 - 0 = 83"], "final_answer": "83", "answer_type": "integer", "kind": "expression", "math_text": "83 - 0 / (73 - 94) / 53", "variable": null, "family": "expression_4op", "shape": "(- n (/ (/ n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 0, \"c\": 73, \"d\": 94, \"e\": 53}", "seed": "4824454269550943445", "semantic_fingerprint": "sha256:eee12a8091ebffe9fbdeae7d2e2f1dfa07f616f03d68445bead9e697a940d7d5", "generator_version": "3.0"}
{"id": "v3_test_id_00000621", "prompt": "Compute: -21 + 89 + 28", "solution_steps": ["Add: -21 + 89 = 68", "Add: 68 + 28 = 96"], "final_answer": "96", "answer_type": "integer", "kind": "expression", "math_text": "-21 + 89 + 28", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": 89, \"c\": 28}", "seed": "15985902999532209792", "semantic_fingerprint": "sha256:e4b1fcfd20a02f021ad21a6543801241d453694f4a3a1eacb4c1c1cf0364d4d7", "generator_version": "3.0"}
{"id": "v3_test_id_00000622", "prompt": "Find x: -10(x + 17) = 9x + 4", "solution_steps": ["Expand: -10x - 170 = 9x + 4", "Subtract 9x from both sides: -19x - 170 = 4", "Add 170 to both sides: -19x = 174", "Divide both sides by -19: x = -174/19"], "final_answer": "-174/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x + 17) = 9x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 17, \"c\": 9, \"d\": 4}", "seed": "13353131046940964837", "semantic_fingerprint": "sha256:39e7f5cb74a34532d3407c75ca4d32299e58a1565eb5523f9d5c918c681f80b9", "generator_version": "3.0"}
{"id": "v3_test_id_00000623", "prompt": "Solve the equation -3(x - 34) = x for x.", "solution_steps": ["Expand: -3x + 102 = x", "Subtract x from both sides: -4x + 102 = 0", "Subtract 102 from both sides: -4x = -102", "Divide both sides by -4: x = 51/2"], "final_answer": "51/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 34) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 34}", "seed": "12621038922935483449", "semantic_fingerprint": "sha256:2d7549c18ccc110bfe24fac3cc6e98d72759b43099b806edd39c35ab017273ad", "generator_version": "3.0"}
{"id": "v3_test_id_00000624", "prompt": "Evaluate: 0 * (-5)", "solution_steps": ["Multiply: 0 * (-5) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-5)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -5}", "seed": "12972560930698924380", "semantic_fingerprint": "sha256:557f88989c5f6f15058de1efccb9e9b239d2e3c08b141ae596df706e8b368aea", "generator_version": "3.0"}
{"id": "v3_test_id_00000625", "prompt": "Calculate: 7 + (-47) / (-9)", "solution_steps": ["Divide: -47 / (-9) = 47/9", "Add: 7 + 47/9 = 110/9"], "final_answer": "110/9", "answer_type": "rational", "kind": "expression", "math_text": "7 + (-47) / (-9)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -47, \"c\": -9}", "seed": "2066061652542145744", "semantic_fingerprint": "sha256:4eddc71fcaf342892a7e960401d8012394494fa2145772f45633ca01c83d82eb", "generator_version": "3.0"}
{"id": "v3_test_id_00000626", "prompt": "What value of x satisfies 3(x - 27) + 820 = x - 314?", "solution_steps": ["Expand: 3x - 81 + 820 = x - 314", "Combine constants: 3x + 739 = x - 314", "Subtract x from both sides: 2x + 739 = -314", "Subtract 739 from both sides: 2x = -1053", "Divide both sides by 2: x = -1053/2"], "final_answer": "-1053/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 27) + 820 = x - 314", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 27, \"c\": 820, \"d\": 314}", "seed": "16272540149223044466", "semantic_fingerprint": "sha256:f50862d780433f30a2a76dfbfbff132b4b58dbaa2fb93e5a90fb06de1a5d1cc2", "generator_version": "3.0"}
{"id": "v3_test_id_00000627", "prompt": "Solve for x: -9(x - 941) - 5 = -11(x + 1)", "solution_steps": ["Expand: -9x + 8469 - 5 = -11(x + 1)", "Expand: -9x + 8469 - 5 = -11x - 11", "Combine constants: -9x + 8464 = -11x - 11", "Add 11x to both sides: 2x + 8464 = -11", "Subtract 8464 from both sides: 2x = -8475", "Divide both sides by 2: x = -8475/2"], "final_answer": "-8475/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 941) - 5 = -11(x + 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 941, \"c\": 5, \"d\": -11, \"e\": 1}", "seed": "7887282289928301492", "semantic_fingerprint": "sha256:f82d139f54ed5c91c7d52c3f08c0f15cdc65c3b6c2750b97f4a6cc9c71287234", "generator_version": "3.0"}
{"id": "v3_test_id_00000628", "prompt": "Solve the equation -5x + 2 = -93 for x.", "solution_steps": ["Subtract 2 from both sides: -5x = -95", "Divide both sides by -5: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x + 2 = -93", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 2, \"d\": -93, \"x\": 19}", "seed": "1050582120513217172", "semantic_fingerprint": "sha256:4ea213980b848c01db686687cdb3bf544cfa4ee24d407161398c57b006b35f0d", "generator_version": "3.0"}
{"id": "v3_test_id_00000629", "prompt": "Solve for x: -5(x - 837) + 48 = x + 43", "solution_steps": ["Expand: -5x + 4185 + 48 = x + 43", "Combine constants: -5x + 4233 = x + 43", "Subtract x from both sides: -6x + 4233 = 43", "Subtract 4233 from both sides: -6x = -4190", "Divide both sides by -6: x = 2095/3"], "final_answer": "2095/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 837) + 48 = x + 43", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 837, \"c\": 48, \"d\": 43}", "seed": "17982187248944088438", "semantic_fingerprint": "sha256:68f3c5c819e713a6431dd797b7acc2e7a97cc0cff7f6b3c69778d0de2ba0aefd", "generator_version": "3.0"}
{"id": "v3_test_id_00000630", "prompt": "Evaluate: -555 * (1 / 73)", "solution_steps": ["Divide: 1 / 73 = 1/73", "Multiply: -555 * (1/73) = -555/73"], "final_answer": "-555/73", "answer_type": "rational", "kind": "expression", "math_text": "-555 * (1 / 73)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -555, \"b\": 1, \"c\": 73}", "seed": "6742391495140071560", "semantic_fingerprint": "sha256:f27d92d71f739b28aa66be42f2eb77772f43d0d346ae6d6db0b7f12a71d50dc5", "generator_version": "3.0"}
{"id": "v3_test_id_00000631", "prompt": "Calculate: 2 * (57 - 0)", "solution_steps": ["Subtract: 57 - 0 = 57", "Multiply: 2 * 57 = 114"], "final_answer": "114", "answer_type": "integer", "kind": "expression", "math_text": "2 * (57 - 0)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 57, \"c\": 0}", "seed": "11980558278505651528", "semantic_fingerprint": "sha256:7caf16293f395b9db89628d5f4f948dff260afd7b227111b5074051877b2139c", "generator_version": "3.0"}
{"id": "v3_test_id_00000632", "prompt": "Find x: 12(x - 41) = x - 492", "solution_steps": ["Expand: 12x - 492 = x - 492", "Subtract x from both sides: 11x - 492 = -492", "Add 492 to both sides: 11x = 0", "Divide both sides by 11: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 41) = x - 492", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 41, \"d\": -492, \"x\": 0}", "seed": "482131144748157808", "semantic_fingerprint": "sha256:1cd38fb9276d9cf3a19b8dbcd8a29755a5169e2a8fe91300daf2909fdbe4a494", "generator_version": "3.0"}
{"id": "v3_test_id_00000633", "prompt": "Calculate: -74 + (-64 / 9 + (-147))", "solution_steps": ["Divide: -64 / 9 = -64/9", "Add: -64/9 + (-147) = -1387/9", "Add: -74 + (-1387/9) = -2053/9"], "final_answer": "-2053/9", "answer_type": "rational", "kind": "expression", "math_text": "-74 + (-64 / 9 + (-147))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -74, \"b\": -64, \"c\": 9, \"d\": -147}", "seed": "2682711492988536625", "semantic_fingerprint": "sha256:01a6a21993f09e647d08aa8bbb0dcb424cc407d27c9cf510eba5337622cf44c5", "generator_version": "3.0"}
{"id": "v3_test_id_00000634", "prompt": "Compute: -25 / 6 * (-82 + (-54))", "solution_steps": ["Divide: -25 / 6 = -25/6", "Add: -82 + (-54) = -136", "Multiply: (-25/6) * (-136) = 1700/3"], "final_answer": "1700/3", "answer_type": "rational", "kind": "expression", "math_text": "-25 / 6 * (-82 + (-54))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": 6, \"c\": -82, \"d\": -54}", "seed": "10318642220192826533", "semantic_fingerprint": "sha256:600332e87d9d5e1d79ab1a60ffa63a15162915585a5915b7fc781bb11762a977", "generator_version": "3.0"}
{"id": "v3_test_id_00000635", "prompt": "What is 13 / 425?", "solution_steps": ["Divide: 13 / 425 = 13/425"], "final_answer": "13/425", "answer_type": "rational", "kind": "expression", "math_text": "13 / 425", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": 425}", "seed": "2665977564862626937", "semantic_fingerprint": "sha256:b6131e0f46291773a3f6d08fd33bba0fb60ccce13e5cd7ac6fc7d145b865b099", "generator_version": "3.0"}
{"id": "v3_test_id_00000636", "prompt": "Solve for x: 11x + 64 = 5x + 4", "solution_steps": ["Subtract 5x from both sides: 6x + 64 = 4", "Subtract 64 from both sides: 6x = -60", "Divide both sides by 6: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 64 = 5x + 4", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 64, \"c\": 5, \"e\": 4, \"x\": -10}", "seed": "2232128414835704389", "semantic_fingerprint": "sha256:5be1fce9f93fa178657113765250fe9f1515c7db4f5d6eca536a621fafc3cffd", "generator_version": "3.0"}
{"id": "v3_test_id_00000637", "prompt": "Solve the equation -2x - 8 = -34 for x.", "solution_steps": ["Add 8 to both sides: -2x = -26", "Divide both sides by -2: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x - 8 = -34", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 8, \"d\": -34, \"x\": 13}", "seed": "8074017655707108709", "semantic_fingerprint": "sha256:dbf37a4922ccf07596bf11eaec091740d95acf62d35f7d2a5a2d2ed388f55b23", "generator_version": "3.0"}
{"id": "v3_test_id_00000638", "prompt": "What is -31 + 8?", "solution_steps": ["Add: -31 + 8 = -23"], "final_answer": "-23", "answer_type": "integer", "kind": "expression", "math_text": "-31 + 8", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -31, \"b\": 8}", "seed": "392806186173708377", "semantic_fingerprint": "sha256:270f61e74cbb88fc8fadd27febcc8f36822f892a589eb28d1a406783818fb5bb", "generator_version": "3.0"}
{"id": "v3_test_id_00000639", "prompt": "Compute: 86 * (-252)", "solution_steps": ["Multiply: 86 * (-252) = -21672"], "final_answer": "-21672", "answer_type": "integer", "kind": "expression", "math_text": "86 * (-252)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": -252}", "seed": "8903876330639291889", "semantic_fingerprint": "sha256:ebece2bff0e6e67b76f3184c79b3593dfaef4c8f02e17e9fe1a47f8cc813c2b5", "generator_version": "3.0"}
{"id": "v3_test_id_00000640", "prompt": "Find x: -10(x + 2) = -4(x - 53) - 334", "solution_steps": ["Expand: -10x - 20 = -4(x - 53) - 334", "Expand: -10x - 20 = -4x + 212 - 334", "Combine constants: -10x - 20 = -4x - 122", "Add 4x to both sides: -6x - 20 = -122", "Add 20 to both sides: -6x = -102", "Divide both sides by -6: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 2) = -4(x - 53) - 334", "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\": -4, \"d\": 53, \"f\": -334, \"x\": 17}", "seed": "10073042098796862174", "semantic_fingerprint": "sha256:1f3230d1103a19dcab2c8b3455f8e33d2d67af7faf89d2ef3b6283e87006e180", "generator_version": "3.0"}
{"id": "v3_test_id_00000641", "prompt": "Solve for x: 3x = -8(x - 16) - 23", "solution_steps": ["Expand: 3x = -8x + 128 - 23", "Combine constants: 3x = -8x + 105", "Add 8x to both sides: 11x = 105", "Divide both sides by 11: x = 105/11"], "final_answer": "105/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x = -8(x - 16) - 23", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -8, \"c\": 16, \"d\": 23}", "seed": "11785790252335207202", "semantic_fingerprint": "sha256:3961d47ee06b6568025da0ca066fd41c456d87564ef0a6ff305b994e9a5ddefd", "generator_version": "3.0"}
{"id": "v3_test_id_00000642", "prompt": "Evaluate: 9 - (-47 - 701)", "solution_steps": ["Subtract: -47 - 701 = -748", "Subtract: 9 - (-748) = 757"], "final_answer": "757", "answer_type": "integer", "kind": "expression", "math_text": "9 - (-47 - 701)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -47, \"c\": 701}", "seed": "643068004706959320", "semantic_fingerprint": "sha256:5be886b0b66ce9ee81137de5e0ea518caddcef8527cd1dda4ad7dd8a22b45d4f", "generator_version": "3.0"}
{"id": "v3_test_id_00000643", "prompt": "Compute: -941 * (0 + 87) + 84", "solution_steps": ["Add: 0 + 87 = 87", "Multiply: -941 * 87 = -81867", "Add: -81867 + 84 = -81783"], "final_answer": "-81783", "answer_type": "integer", "kind": "expression", "math_text": "-941 * (0 + 87) + 84", "variable": null, "family": "expression_3op", "shape": "(+ (* n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -941, \"b\": 0, \"c\": 87, \"d\": 84}", "seed": "10665716864392829746", "semantic_fingerprint": "sha256:39bdccff785dcccb9da38de54f7f5c2176b1986a677e6b8de25615d3abf10de0", "generator_version": "3.0"}
{"id": "v3_test_id_00000644", "prompt": "Solve the equation 10(x + 49) = -9(x - 64) for x.", "solution_steps": ["Expand: 10x + 490 = -9(x - 64)", "Expand: 10x + 490 = -9x + 576", "Add 9x to both sides: 19x + 490 = 576", "Subtract 490 from both sides: 19x = 86", "Divide both sides by 19: x = 86/19"], "final_answer": "86/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 49) = -9(x - 64)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 49, \"c\": -9, \"d\": 64}", "seed": "15069856478353124347", "semantic_fingerprint": "sha256:335dcf36a32a4cd6ed60b911da1ce26bbecaffbf9e5798b0c3e1319221432674", "generator_version": "3.0"}
{"id": "v3_test_id_00000645", "prompt": "What value of x satisfies -3(x - 7) + 68 = x + 93?", "solution_steps": ["Expand: -3x + 21 + 68 = x + 93", "Combine constants: -3x + 89 = x + 93", "Subtract x from both sides: -4x + 89 = 93", "Subtract 89 from both sides: -4x = 4", "Divide both sides by -4: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 7) + 68 = x + 93", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 7, \"c\": 68, \"d\": 93}", "seed": "11202621235041133465", "semantic_fingerprint": "sha256:9160bb81aed8cae5daeacb878c3e43c9acce1ce0927dd6fc9e68fe4e3482159f", "generator_version": "3.0"}
{"id": "v3_test_id_00000646", "prompt": "What is -11 - (-9)?", "solution_steps": ["Subtract: -11 - (-9) = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "expression", "math_text": "-11 - (-9)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": -9}", "seed": "14784282421073565762", "semantic_fingerprint": "sha256:28351dcb4429a1214a0d3ccc8cc9f36dcf55b42774fd6ddc891f9f2172a95d5d", "generator_version": "3.0"}
{"id": "v3_test_id_00000647", "prompt": "Find x: 9x = x - 365", "solution_steps": ["Subtract x from both sides: 8x = -365", "Divide both sides by 8: x = -365/8"], "final_answer": "-365/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x = x - 365", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 365}", "seed": "6521252960381913371", "semantic_fingerprint": "sha256:af110bbbfe1101aac4fe90e1c15e70feda79d582e8591bc9a15e4f9eef982658", "generator_version": "3.0"}
{"id": "v3_test_id_00000648", "prompt": "What value of x satisfies -7(x + 6) - 3 = 9x + 82?", "solution_steps": ["Expand: -7x - 42 - 3 = 9x + 82", "Combine constants: -7x - 45 = 9x + 82", "Subtract 9x from both sides: -16x - 45 = 82", "Add 45 to both sides: -16x = 127", "Divide both sides by -16: x = -127/16"], "final_answer": "-127/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x + 6) - 3 = 9x + 82", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 6, \"c\": 3, \"d\": 9, \"e\": 82}", "seed": "15859044105316323902", "semantic_fingerprint": "sha256:c5f5467346f065a78634082928f993f4170c2e222ef24bb64811138443b6757b", "generator_version": "3.0"}
{"id": "v3_test_id_00000649", "prompt": "Evaluate: -957 + 804 + 6", "solution_steps": ["Add: -957 + 804 = -153", "Add: -153 + 6 = -147"], "final_answer": "-147", "answer_type": "integer", "kind": "expression", "math_text": "-957 + 804 + 6", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -957, \"b\": 804, \"c\": 6}", "seed": "8151642991487041366", "semantic_fingerprint": "sha256:5469fd806516a4742feb6628c794f545d9d31771e9851f2c68d5c8f320f7600d", "generator_version": "3.0"}
{"id": "v3_test_id_00000650", "prompt": "Solve for x: 4(x - 93) - 401 = 8x + 9", "solution_steps": ["Expand: 4x - 372 - 401 = 8x + 9", "Combine constants: 4x - 773 = 8x + 9", "Subtract 8x from both sides: -4x - 773 = 9", "Add 773 to both sides: -4x = 782", "Divide both sides by -4: x = -391/2"], "final_answer": "-391/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 93) - 401 = 8x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 93, \"c\": 401, \"d\": 8, \"e\": 9}", "seed": "3227085254929095493", "semantic_fingerprint": "sha256:8b48b86091fe0e9ad65b25c561d13ec4c024f3e32a590767a0e69f15a79e39c1", "generator_version": "3.0"}
{"id": "v3_test_id_00000651", "prompt": "Calculate: -60 + (5 - (94 - 1)) + (-2) * (-42)", "solution_steps": ["Subtract: 94 - 1 = 93", "Subtract: 5 - 93 = -88", "Add: -60 + (-88) = -148", "Multiply: -2 * (-42) = 84", "Add: -148 + 84 = -64"], "final_answer": "-64", "answer_type": "integer", "kind": "expression", "math_text": "-60 + (5 - (94 - 1)) + (-2) * (-42)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (- n (- n n))) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": 5, \"c\": 94, \"d\": 1, \"e\": -2, \"f\": -42}", "seed": "1146088760273999976", "semantic_fingerprint": "sha256:79529aee7d5ed4fa54c8e47be769d20e2314e4d7d07a8f2c523f032dce2b759c", "generator_version": "3.0"}
{"id": "v3_test_id_00000652", "prompt": "What is 30 / 861 * (-73)?", "solution_steps": ["Divide: 30 / 861 = 10/287", "Multiply: (10/287) * (-73) = -730/287"], "final_answer": "-730/287", "answer_type": "rational", "kind": "expression", "math_text": "30 / 861 * (-73)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": 861, \"c\": -73}", "seed": "12009744515139136793", "semantic_fingerprint": "sha256:568ddcbf64857e81c8ba790082008383200b9df358afcf6fb098d1accaacc947", "generator_version": "3.0"}
{"id": "v3_test_id_00000653", "prompt": "Evaluate: 89 / (-405 + 54)", "solution_steps": ["Add: -405 + 54 = -351", "Divide: 89 / (-351) = -89/351"], "final_answer": "-89/351", "answer_type": "rational", "kind": "expression", "math_text": "89 / (-405 + 54)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": -405, \"c\": 54}", "seed": "1238748762659698168", "semantic_fingerprint": "sha256:2d85086ff5ec07aa00fc59a19f9c57750d9d33445f108d593d4fc0d878f18d93", "generator_version": "3.0"}
{"id": "v3_test_id_00000654", "prompt": "Calculate: -2 / 37", "solution_steps": ["Divide: -2 / 37 = -2/37"], "final_answer": "-2/37", "answer_type": "rational", "kind": "expression", "math_text": "-2 / 37", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 37}", "seed": "5927505089059324724", "semantic_fingerprint": "sha256:3ca0d5bb91f0b31f660906cff83952453ee6e8e55018bfbb69087e9e75a77964", "generator_version": "3.0"}
{"id": "v3_test_id_00000655", "prompt": "Calculate: -5 / (9 - 59)", "solution_steps": ["Subtract: 9 - 59 = -50", "Divide: -5 / (-50) = 1/10"], "final_answer": "1/10", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (9 - 59)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 9, \"c\": 59}", "seed": "15894965421710965857", "semantic_fingerprint": "sha256:fe8739a5fd8a848f243fa495c2859374556c757a45f160570faacefb96be9593", "generator_version": "3.0"}
{"id": "v3_test_id_00000656", "prompt": "Evaluate: -3 * (-684 / (-777))", "solution_steps": ["Divide: -684 / (-777) = 228/259", "Multiply: -3 * (228/259) = -684/259"], "final_answer": "-684/259", "answer_type": "rational", "kind": "expression", "math_text": "-3 * (-684 / (-777))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -684, \"c\": -777}", "seed": "7212632533767357490", "semantic_fingerprint": "sha256:84514d557acb334edecccf5c7786f4ba4c0341776c1d080584f6dffc87119ed0", "generator_version": "3.0"}
{"id": "v3_test_id_00000657", "prompt": "What value of x satisfies x + 41 = 8(x + 29) - 2?", "solution_steps": ["Expand: x + 41 = 8x + 232 - 2", "Combine constants: x + 41 = 8x + 230", "Subtract 8x from both sides: -7x + 41 = 230", "Subtract 41 from both sides: -7x = 189", "Divide both sides by -7: x = -27"], "final_answer": "-27", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 41 = 8(x + 29) - 2", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": 8, \"c\": 29, \"d\": 2}", "seed": "5234936601046232786", "semantic_fingerprint": "sha256:acef726d8c3e14a3b18b8717b5ed3909c54b8cc17d8bfe77214a46a3b3d7ba9e", "generator_version": "3.0"}
{"id": "v3_test_id_00000658", "prompt": "What value of x satisfies -7(x + 55) = x - 241?", "solution_steps": ["Expand: -7x - 385 = x - 241", "Subtract x from both sides: -8x - 385 = -241", "Add 385 to both sides: -8x = 144", "Divide both sides by -8: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 55) = x - 241", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 55, \"d\": -241, \"x\": -18}", "seed": "1213912408671980586", "semantic_fingerprint": "sha256:af9c26213dee7a369eaf214bbde115312a15ca90b68c224cbc066472d587ccae", "generator_version": "3.0"}
{"id": "v3_test_id_00000659", "prompt": "Solve the equation x = 7(x + 96) - 594 for x.", "solution_steps": ["Expand: x = 7x + 672 - 594", "Combine constants: x = 7x + 78", "Subtract 7x from both sides: -6x = 78", "Divide both sides by -6: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 7(x + 96) - 594", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 96, \"d\": -594, \"x\": -13}", "seed": "2907364411871837110", "semantic_fingerprint": "sha256:bc6090bda664778e15c7225cdd4392e872023edcf739eb21c167be404c84be76", "generator_version": "3.0"}
{"id": "v3_test_id_00000660", "prompt": "Calculate: 968 * (-2)", "solution_steps": ["Multiply: 968 * (-2) = -1936"], "final_answer": "-1936", "answer_type": "integer", "kind": "expression", "math_text": "968 * (-2)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 968, \"b\": -2}", "seed": "2729096768491008478", "semantic_fingerprint": "sha256:5b9b587f0f36bb61006445edc3bd96b9406f34deb1e065a0f3f8d8f860fa77b5", "generator_version": "3.0"}
{"id": "v3_test_id_00000661", "prompt": "Calculate: 95 / 271", "solution_steps": ["Divide: 95 / 271 = 95/271"], "final_answer": "95/271", "answer_type": "rational", "kind": "expression", "math_text": "95 / 271", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": 271}", "seed": "11849971967051454610", "semantic_fingerprint": "sha256:843f8829512a2b051b0c9af5c8b0709ee9c77e61868399faec1fe3ad5f6634ef", "generator_version": "3.0"}
{"id": "v3_test_id_00000662", "prompt": "Calculate: -603 + 0 + (534 + (-19))", "solution_steps": ["Add: -603 + 0 = -603", "Add: 534 + (-19) = 515", "Add: -603 + 515 = -88"], "final_answer": "-88", "answer_type": "integer", "kind": "expression", "math_text": "-603 + 0 + (534 + (-19))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -603, \"b\": 0, \"c\": 534, \"d\": -19}", "seed": "15373079768667456814", "semantic_fingerprint": "sha256:017c8a08b1e09ff7ea990f27c51f7b46b9f425d2e439daabf5618627f9bdd297", "generator_version": "3.0"}
{"id": "v3_test_id_00000663", "prompt": "Compute: -56 * (-84 * 0) - (-9) + (8 + 30)", "solution_steps": ["Multiply: -84 * 0 = 0", "Multiply: -56 * 0 = 0", "Subtract: 0 - (-9) = 9", "Add: 8 + 30 = 38", "Add: 9 + 38 = 47"], "final_answer": "47", "answer_type": "integer", "kind": "expression", "math_text": "-56 * (-84 * 0) - (-9) + (8 + 30)", "variable": null, "family": "expression_5op", "shape": "(+ (- (* n (* n n)) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": -84, \"c\": 0, \"d\": -9, \"e\": 8, \"f\": 30}", "seed": "7765100786466606571", "semantic_fingerprint": "sha256:1b948a4f5e44a3eed594698f18f3e22b36652a7d5234b30daa5a215caca6c8b7", "generator_version": "3.0"}
{"id": "v3_test_id_00000664", "prompt": "Evaluate: 57 * (-767)", "solution_steps": ["Multiply: 57 * (-767) = -43719"], "final_answer": "-43719", "answer_type": "integer", "kind": "expression", "math_text": "57 * (-767)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": -767}", "seed": "1354872460486536028", "semantic_fingerprint": "sha256:19321f4687e0c8f9fa7eb9c3e25581c8f0da659ab639d80931270093a059cf2d", "generator_version": "3.0"}
{"id": "v3_test_id_00000665", "prompt": "Solve the equation 4(x + 601) + 9 = 12x for x.", "solution_steps": ["Expand: 4x + 2404 + 9 = 12x", "Combine constants: 4x + 2413 = 12x", "Subtract 12x from both sides: -8x + 2413 = 0", "Subtract 2413 from both sides: -8x = -2413", "Divide both sides by -8: x = 2413/8"], "final_answer": "2413/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 601) + 9 = 12x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 601, \"c\": 9, \"d\": 12}", "seed": "10725619256628196937", "semantic_fingerprint": "sha256:618bc0c8dee09f9ba9b80749da3ff542e007b2895fd4c55676ae10e84cd92d3f", "generator_version": "3.0"}
{"id": "v3_test_id_00000666", "prompt": "Calculate: -68 * (-40) + 13 / 1", "solution_steps": ["Multiply: -68 * (-40) = 2720", "Divide: 13 / 1 = 13", "Add: 2720 + 13 = 2733"], "final_answer": "2733", "answer_type": "integer", "kind": "expression", "math_text": "-68 * (-40) + 13 / 1", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": -40, \"c\": 13, \"d\": 1}", "seed": "10981003660412813224", "semantic_fingerprint": "sha256:53c35d07b73aea23fdc574253fa333fc1ee40a34049e895501f5a164f76c835b", "generator_version": "3.0"}
{"id": "v3_test_id_00000667", "prompt": "Solve for x: 3(x - 7) + 95 = x + 76", "solution_steps": ["Expand: 3x - 21 + 95 = x + 76", "Combine constants: 3x + 74 = x + 76", "Subtract x from both sides: 2x + 74 = 76", "Subtract 74 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 - 7) + 95 = x + 76", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": 95, \"e\": 76, \"x\": 1}", "seed": "8137504709391959905", "semantic_fingerprint": "sha256:efd9e369b132908866610e623e1afa64e61438e9aa6112677c98628903c971f3", "generator_version": "3.0"}
{"id": "v3_test_id_00000668", "prompt": "What is 6 + 96 - 7 / (493 + 34)?", "solution_steps": ["Add: 6 + 96 = 102", "Add: 493 + 34 = 527", "Divide: 7 / 527 = 7/527", "Subtract: 102 - 7/527 = 53747/527"], "final_answer": "53747/527", "answer_type": "rational", "kind": "expression", "math_text": "6 + 96 - 7 / (493 + 34)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 96, \"c\": 7, \"d\": 493, \"e\": 34}", "seed": "16756458277864105338", "semantic_fingerprint": "sha256:d4e55982e327159625cd28945d434d0e8643bead15434fd27e90a5e40a4b32f3", "generator_version": "3.0"}
{"id": "v3_test_id_00000669", "prompt": "Solve the equation -4x = 11x - 45 for x.", "solution_steps": ["Subtract 11x from both sides: -15x = -45", "Divide both sides by -15: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x = 11x - 45", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 11, \"d\": -45, \"x\": 3}", "seed": "10290352767487131433", "semantic_fingerprint": "sha256:2663a01cd4ad18b9937f6e25bf201d894426df9cf673fa7db309b3bf1515541a", "generator_version": "3.0"}
{"id": "v3_test_id_00000670", "prompt": "Solve for x: 7(x - 4) = x - 124", "solution_steps": ["Expand: 7x - 28 = x - 124", "Subtract x from both sides: 6x - 28 = -124", "Add 28 to both sides: 6x = -96", "Divide both sides by 6: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 4) = x - 124", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"d\": -124, \"x\": -16}", "seed": "2308643947898061125", "semantic_fingerprint": "sha256:430a3db53f9f66d226fc8fafb445a7139c4414f87652634ced526714986ec7c3", "generator_version": "3.0"}
{"id": "v3_test_id_00000671", "prompt": "Compute: 11 / (-4 * (-60))", "solution_steps": ["Multiply: -4 * (-60) = 240", "Divide: 11 / 240 = 11/240"], "final_answer": "11/240", "answer_type": "rational", "kind": "expression", "math_text": "11 / (-4 * (-60))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -4, \"c\": -60}", "seed": "202173827469153249", "semantic_fingerprint": "sha256:c5c57059d0e92cc1319297b5d842eb9e7994bde6384dd3e706425a95ee5d5231", "generator_version": "3.0"}
{"id": "v3_test_id_00000672", "prompt": "Calculate: -5 / 4 / 1", "solution_steps": ["Divide: -5 / 4 = -5/4", "Divide: (-5/4) / 1 = -5/4"], "final_answer": "-5/4", "answer_type": "rational", "kind": "expression", "math_text": "-5 / 4 / 1", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 4, \"c\": 1}", "seed": "13030334128710718017", "semantic_fingerprint": "sha256:797565222f48fef358434e58462c5b3f9a009d720f154fb3ae799bb6d6131292", "generator_version": "3.0"}
{"id": "v3_test_id_00000673", "prompt": "Compute: -1 - (-4)", "solution_steps": ["Subtract: -1 - (-4) = 3"], "final_answer": "3", "answer_type": "integer", "kind": "expression", "math_text": "-1 - (-4)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -4}", "seed": "4033138793919290521", "semantic_fingerprint": "sha256:31c40d47b86d9cf7ed5963bd6060c87ca9cd32c0d1941b2dc861606e566bc9c3", "generator_version": "3.0"}
{"id": "v3_test_id_00000674", "prompt": "Solve the equation 6x + 57 = -11x + 33 for x.", "solution_steps": ["Add 11x to both sides: 17x + 57 = 33", "Subtract 57 from both sides: 17x = -24", "Divide both sides by 17: x = -24/17"], "final_answer": "-24/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x + 57 = -11x + 33", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 57, \"c\": -11, \"d\": 33}", "seed": "14208724914314268687", "semantic_fingerprint": "sha256:9f2522368ff691bf92dae3b5e1eb37da619c182e7ed973c0965b69ec84215227", "generator_version": "3.0"}
{"id": "v3_test_id_00000675", "prompt": "Compute: -7 / 317 + (77 - (-6))", "solution_steps": ["Divide: -7 / 317 = -7/317", "Subtract: 77 - (-6) = 83", "Add: -7/317 + 83 = 26304/317"], "final_answer": "26304/317", "answer_type": "rational", "kind": "expression", "math_text": "-7 / 317 + (77 - (-6))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 317, \"c\": 77, \"d\": -6}", "seed": "6480018183994303115", "semantic_fingerprint": "sha256:dd474d5e19a58bdf9de0c85da839fa0ac36d6655367761f5a97228ae3f3e8672", "generator_version": "3.0"}
{"id": "v3_test_id_00000676", "prompt": "Compute: -12 / 6", "solution_steps": ["Divide: -12 / 6 = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "expression", "math_text": "-12 / 6", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 6}", "seed": "5747939789363066555", "semantic_fingerprint": "sha256:0cc3f0af6d1f2d67398fd927915f377f36dc29f44fed0549402889b329561da6", "generator_version": "3.0"}
{"id": "v3_test_id_00000677", "prompt": "Solve for x: 12(x - 7) = -6(x + 92)", "solution_steps": ["Expand: 12x - 84 = -6(x + 92)", "Expand: 12x - 84 = -6x - 552", "Add 6x to both sides: 18x - 84 = -552", "Add 84 to both sides: 18x = -468", "Divide both sides by 18: x = -26"], "final_answer": "-26", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 7) = -6(x + 92)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7, \"c\": -6, \"d\": 92}", "seed": "13475909599568870730", "semantic_fingerprint": "sha256:f99fb97b101e31fb9a9b38b40d56298fd334d69ff2e4ce98593ae43c8b390418", "generator_version": "3.0"}
{"id": "v3_test_id_00000678", "prompt": "Compute: -5 - 0", "solution_steps": ["Subtract: -5 - 0 = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "expression", "math_text": "-5 - 0", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 0}", "seed": "4064347667666790230", "semantic_fingerprint": "sha256:099f03f53836c9d26e35a33094b6ff96bf3d0de96680a4dce4b6c514faff24c7", "generator_version": "3.0"}
{"id": "v3_test_id_00000679", "prompt": "Evaluate: 92 - 0", "solution_steps": ["Subtract: 92 - 0 = 92"], "final_answer": "92", "answer_type": "integer", "kind": "expression", "math_text": "92 - 0", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": 0}", "seed": "2468530692077810993", "semantic_fingerprint": "sha256:ee67e627a143c0359999d1e412fc31fa11d9d281ae303ac4ba580cabf690e901", "generator_version": "3.0"}
{"id": "v3_test_id_00000680", "prompt": "Compute: 204 * (7 + (-25))", "solution_steps": ["Add: 7 + (-25) = -18", "Multiply: 204 * (-18) = -3672"], "final_answer": "-3672", "answer_type": "integer", "kind": "expression", "math_text": "204 * (7 + (-25))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 204, \"b\": 7, \"c\": -25}", "seed": "7400590415652486127", "semantic_fingerprint": "sha256:7fe1e1de9ed03475199fab955506153b8e6dabf68febeafe20da877601811ad7", "generator_version": "3.0"}
{"id": "v3_test_id_00000681", "prompt": "Compute: -48 - (-39)", "solution_steps": ["Subtract: -48 - (-39) = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "expression", "math_text": "-48 - (-39)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": -39}", "seed": "14638613171940056660", "semantic_fingerprint": "sha256:0e0285338de2f001e3536bb3a6ee692e18b1c5175515280967f614f92b538273", "generator_version": "3.0"}
{"id": "v3_test_id_00000682", "prompt": "Calculate: 15 + (-7 + (-93 - (-825))) / 38", "solution_steps": ["Subtract: -93 - (-825) = 732", "Add: -7 + 732 = 725", "Divide: 725 / 38 = 725/38", "Add: 15 + 725/38 = 1295/38"], "final_answer": "1295/38", "answer_type": "rational", "kind": "expression", "math_text": "15 + (-7 + (-93 - (-825))) / 38", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (+ n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": -7, \"c\": -93, \"d\": -825, \"e\": 38}", "seed": "14514243890928972770", "semantic_fingerprint": "sha256:fdc0337cc2cf461dc3050981ddb3a5b881e7cd2e529828e885e7eb136134708a", "generator_version": "3.0"}
{"id": "v3_test_id_00000683", "prompt": "Evaluate: 3 / 1 / (0 + (-43))", "solution_steps": ["Divide: 3 / 1 = 3", "Add: 0 + (-43) = -43", "Divide: 3 / (-43) = -3/43"], "final_answer": "-3/43", "answer_type": "rational", "kind": "expression", "math_text": "3 / 1 / (0 + (-43))", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 1, \"c\": 0, \"d\": -43}", "seed": "14576816433456236008", "semantic_fingerprint": "sha256:5979eb65ab9c20f954dbcd78b9ccbbe596739da29e9147ce2d59bd7fb0e66d77", "generator_version": "3.0"}
{"id": "v3_test_id_00000684", "prompt": "What is -83 / (-8) / (-6) + (-5 / (-5) - (-60))?", "solution_steps": ["Divide: -83 / (-8) = 83/8", "Divide: (83/8) / (-6) = -83/48", "Divide: -5 / (-5) = 1", "Subtract: 1 - (-60) = 61", "Add: -83/48 + 61 = 2845/48"], "final_answer": "2845/48", "answer_type": "rational", "kind": "expression", "math_text": "-83 / (-8) / (-6) + (-5 / (-5) - (-60))", "variable": null, "family": "expression_5op", "shape": "(+ (/ (/ n n) n) (- (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": -8, \"c\": -6, \"d\": -5, \"e\": -5, \"f\": -60}", "seed": "9551171798839029973", "semantic_fingerprint": "sha256:8a78aae49ba0ed34949ff49af117b565521dfc06d9b542463a1bb225d9de90f4", "generator_version": "3.0"}
{"id": "v3_test_id_00000685", "prompt": "Solve the equation 8(x + 79) + 24 = 4x + 656 for x.", "solution_steps": ["Expand: 8x + 632 + 24 = 4x + 656", "Combine constants: 8x + 656 = 4x + 656", "Subtract 4x from both sides: 4x + 656 = 656", "Subtract 656 from both sides: 4x = 0", "Divide both sides by 4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 79) + 24 = 4x + 656", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 79, \"c\": 24, \"d\": 4, \"f\": 656, \"x\": 0}", "seed": "2205919112731871502", "semantic_fingerprint": "sha256:ec74c204ab130408c789989b2a55a88f5eff63ed9adbd550328fd9a03dca55d6", "generator_version": "3.0"}
{"id": "v3_test_id_00000686", "prompt": "Solve the equation 8(x + 7) - 68 = 7x for x.", "solution_steps": ["Expand: 8x + 56 - 68 = 7x", "Combine constants: 8x - 12 = 7x", "Subtract 7x from both sides: x - 12 = 0", "Add 12 to both sides: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 7) - 68 = 7x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": 7, \"e\": -68, \"x\": 12}", "seed": "4819336483833891963", "semantic_fingerprint": "sha256:639e5299cd079efb1c4b0a9642ad6a5f7b5db3b877bc93ac1cea3218ef1ebe57", "generator_version": "3.0"}
{"id": "v3_test_id_00000687", "prompt": "Evaluate: 134 / (-3 + (97 + 14))", "solution_steps": ["Add: 97 + 14 = 111", "Add: -3 + 111 = 108", "Divide: 134 / 108 = 67/54"], "final_answer": "67/54", "answer_type": "rational", "kind": "expression", "math_text": "134 / (-3 + (97 + 14))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 134, \"b\": -3, \"c\": 97, \"d\": 14}", "seed": "16448836633792301766", "semantic_fingerprint": "sha256:b1df8616f8f4b3de7c83b8722c9e1103441ba9f2fea1ab85b31fb52ad9f75099", "generator_version": "3.0"}
{"id": "v3_test_id_00000688", "prompt": "Evaluate: (-19 + (-6)) * (-57) / 77", "solution_steps": ["Add: -19 + (-6) = -25", "Multiply: -25 * (-57) = 1425", "Divide: 1425 / 77 = 1425/77"], "final_answer": "1425/77", "answer_type": "rational", "kind": "expression", "math_text": "(-19 + (-6)) * (-57) / 77", "variable": null, "family": "expression_3op", "shape": "(/ (* (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": -6, \"c\": -57, \"d\": 77}", "seed": "13211555798490386279", "semantic_fingerprint": "sha256:1b3980966dca635b1950827120ac8efa15a9560ad3e5f1a503abc01e5872667d", "generator_version": "3.0"}
{"id": "v3_test_id_00000689", "prompt": "Find x: -10x - 8 = 2x + 95", "solution_steps": ["Subtract 2x from both sides: -12x - 8 = 95", "Add 8 to both sides: -12x = 103", "Divide both sides by -12: x = -103/12"], "final_answer": "-103/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10x - 8 = 2x + 95", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 8, \"c\": 2, \"d\": 95}", "seed": "15234823662317438341", "semantic_fingerprint": "sha256:cb2123ccdf4b3b9a12ca1e53fa46c177e04d466258a21f5a851d95fa7c5d96c0", "generator_version": "3.0"}
{"id": "v3_test_id_00000690", "prompt": "What is 521 + 47 / 4?", "solution_steps": ["Divide: 47 / 4 = 47/4", "Add: 521 + 47/4 = 2131/4"], "final_answer": "2131/4", "answer_type": "rational", "kind": "expression", "math_text": "521 + 47 / 4", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 521, \"b\": 47, \"c\": 4}", "seed": "17522397485412273296", "semantic_fingerprint": "sha256:ef6f22af561087cfbdc47a38c623996050f0c97f0a97bfb1bf3fa95683130128", "generator_version": "3.0"}
{"id": "v3_test_id_00000691", "prompt": "What value of x satisfies -5x = 2(x - 527)?", "solution_steps": ["Expand: -5x = 2x - 1054", "Subtract 2x from both sides: -7x = -1054", "Divide both sides by -7: x = 1054/7"], "final_answer": "1054/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5x = 2(x - 527)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 2, \"c\": 527}", "seed": "9649986837582458664", "semantic_fingerprint": "sha256:bc08d420f4c299fc6a0b54982b82e670a3da3e9d4e3d6cc87f67efc1109ee969", "generator_version": "3.0"}
{"id": "v3_test_id_00000692", "prompt": "Solve for x: x = -4x", "solution_steps": ["Add 4x to both sides: 5x = 0", "Divide both sides by 5: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -4x", "variable": "x", "family": "linear_equation", "shape": "x=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4}", "seed": "3315190956730893929", "semantic_fingerprint": "sha256:b7b2d095b3285bb87e5aed94f2f4e0b3d379e07e224ab14250f619ba8b09ebdb", "generator_version": "3.0"}
{"id": "v3_test_id_00000693", "prompt": "Compute: 436 / (-39) - (-1) * 4", "solution_steps": ["Divide: 436 / (-39) = -436/39", "Multiply: -1 * 4 = -4", "Subtract: -436/39 - (-4) = -280/39"], "final_answer": "-280/39", "answer_type": "rational", "kind": "expression", "math_text": "436 / (-39) - (-1) * 4", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 436, \"b\": -39, \"c\": -1, \"d\": 4}", "seed": "16719597869143089289", "semantic_fingerprint": "sha256:68f7528926c9bb3572050858c62118a32d3359e066cda120c6030d282c2d0614", "generator_version": "3.0"}
{"id": "v3_test_id_00000694", "prompt": "What value of x satisfies x + 68 = 7(x - 1) + 81?", "solution_steps": ["Expand: x + 68 = 7x - 7 + 81", "Combine constants: x + 68 = 7x + 74", "Subtract 7x from both sides: -6x + 68 = 74", "Subtract 68 from both sides: -6x = 6", "Divide both sides by -6: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 68 = 7(x - 1) + 81", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": 7, \"c\": 1, \"e\": 81, \"x\": -1}", "seed": "13207401572787218021", "semantic_fingerprint": "sha256:9c589803b6d0fe0cf94959d61538334ab1eedd0227187cae2bfd5ab53abd25a3", "generator_version": "3.0"}
{"id": "v3_test_id_00000695", "prompt": "Solve the equation 3(x + 9) = 8(x + 6) - 71 for x.", "solution_steps": ["Expand: 3x + 27 = 8(x + 6) - 71", "Expand: 3x + 27 = 8x + 48 - 71", "Combine constants: 3x + 27 = 8x - 23", "Subtract 8x from both sides: -5x + 27 = -23", "Subtract 27 from both sides: -5x = -50", "Divide both sides by -5: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 9) = 8(x + 6) - 71", "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\": 8, \"d\": 6, \"f\": -71, \"x\": 10}", "seed": "1058088306610530338", "semantic_fingerprint": "sha256:392452295f17ba9f2e407ecc1adfd6fa963ecdd34fa13608588c289b93e843c2", "generator_version": "3.0"}
{"id": "v3_test_id_00000696", "prompt": "Calculate: 65 * 0", "solution_steps": ["Multiply: 65 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "65 * 0", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": 0}", "seed": "16109998768618694132", "semantic_fingerprint": "sha256:9deda217d1a81490995a4de6ed322d469167979e6a9bc8173bcecaecb990ad17", "generator_version": "3.0"}
{"id": "v3_test_id_00000697", "prompt": "Evaluate: -508 / ((109 + (-864)) / (-9) / (21 * 9))", "solution_steps": ["Add: 109 + (-864) = -755", "Divide: -755 / (-9) = 755/9", "Multiply: 21 * 9 = 189", "Divide: (755/9) / 189 = 755/1701", "Divide: -508 / (755/1701) = -864108/755"], "final_answer": "-864108/755", "answer_type": "rational", "kind": "expression", "math_text": "-508 / ((109 + (-864)) / (-9) / (21 * 9))", "variable": null, "family": "expression_5op", "shape": "(/ n (/ (/ (+ n n) n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -508, \"b\": 109, \"c\": -864, \"d\": -9, \"e\": 21, \"f\": 9}", "seed": "16474906480408607473", "semantic_fingerprint": "sha256:229c59992b5c243506abedcd82c4b5faf65537f7ec740dbf898d6032238e9f62", "generator_version": "3.0"}
{"id": "v3_test_id_00000698", "prompt": "Evaluate: 0 + 0 - (-90)", "solution_steps": ["Add: 0 + 0 = 0", "Subtract: 0 - (-90) = 90"], "final_answer": "90", "answer_type": "integer", "kind": "expression", "math_text": "0 + 0 - (-90)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 0, \"c\": -90}", "seed": "12595987566050075401", "semantic_fingerprint": "sha256:6f16b65fc2baa484439a2221d8d908bcedc82a30404d24ef398c4278be792a03", "generator_version": "3.0"}
{"id": "v3_test_id_00000699", "prompt": "Solve the equation 8(x - 309) - 82 = 3x for x.", "solution_steps": ["Expand: 8x - 2472 - 82 = 3x", "Combine constants: 8x - 2554 = 3x", "Subtract 3x from both sides: 5x - 2554 = 0", "Add 2554 to both sides: 5x = 2554", "Divide both sides by 5: x = 2554/5"], "final_answer": "2554/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 309) - 82 = 3x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 309, \"c\": 82, \"d\": 3}", "seed": "1469878578782917756", "semantic_fingerprint": "sha256:344eb5b53afab1a3f66f2e24a17faa23e4e6be0848a25bde4219f4934814176a", "generator_version": "3.0"}
{"id": "v3_test_id_00000700", "prompt": "Solve for x: 11(x + 81) + 7 = 9x + 910", "solution_steps": ["Expand: 11x + 891 + 7 = 9x + 910", "Combine constants: 11x + 898 = 9x + 910", "Subtract 9x from both sides: 2x + 898 = 910", "Subtract 898 from both sides: 2x = 12", "Divide both sides by 2: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 81) + 7 = 9x + 910", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 81, \"c\": 7, \"d\": 9, \"f\": 910, \"x\": 6}", "seed": "5853452415458341236", "semantic_fingerprint": "sha256:0ba63eba477d208b1a798e8d60b04b785ab5eea0fb93823c1ea1cbc49b927c24", "generator_version": "3.0"}
{"id": "v3_test_id_00000701", "prompt": "Calculate: -802 - (-95 - (-4)) + (46 - (-602))", "solution_steps": ["Subtract: -95 - (-4) = -91", "Subtract: -802 - (-91) = -711", "Subtract: 46 - (-602) = 648", "Add: -711 + 648 = -63"], "final_answer": "-63", "answer_type": "integer", "kind": "expression", "math_text": "-802 - (-95 - (-4)) + (46 - (-602))", "variable": null, "family": "expression_4op", "shape": "(+ (- n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -802, \"b\": -95, \"c\": -4, \"d\": 46, \"e\": -602}", "seed": "10953795114959665254", "semantic_fingerprint": "sha256:2d20b38742673459292e550cdca204ebbded042bbaac105992f996d80407e2db", "generator_version": "3.0"}
{"id": "v3_test_id_00000702", "prompt": "Compute: 39 + 42 - (3 - (-90) + (-2 - 1))", "solution_steps": ["Add: 39 + 42 = 81", "Subtract: 3 - (-90) = 93", "Subtract: -2 - 1 = -3", "Add: 93 + (-3) = 90", "Subtract: 81 - 90 = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "expression", "math_text": "39 + 42 - (3 - (-90) + (-2 - 1))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (+ (- n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 42, \"c\": 3, \"d\": -90, \"e\": -2, \"f\": 1}", "seed": "3764851406608006016", "semantic_fingerprint": "sha256:eb8500bf03c59909fff9ec892ea99885b4ea53f46d77e93ce7b4881e3b494259", "generator_version": "3.0"}
{"id": "v3_test_id_00000703", "prompt": "Evaluate: -2 * (-67 * 596 / (-665))", "solution_steps": ["Multiply: -67 * 596 = -39932", "Divide: -39932 / (-665) = 39932/665", "Multiply: -2 * (39932/665) = -79864/665"], "final_answer": "-79864/665", "answer_type": "rational", "kind": "expression", "math_text": "-2 * (-67 * 596 / (-665))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -67, \"c\": 596, \"d\": -665}", "seed": "15167213261040062978", "semantic_fingerprint": "sha256:1e82a89d697d1906f933c2b7ca2b03d0277cae7c845fa41c6c94741bbaf0f002", "generator_version": "3.0"}
{"id": "v3_test_id_00000704", "prompt": "Compute: (3 - (5 - (-39))) * (-57)", "solution_steps": ["Subtract: 5 - (-39) = 44", "Subtract: 3 - 44 = -41", "Multiply: -41 * (-57) = 2337"], "final_answer": "2337", "answer_type": "integer", "kind": "expression", "math_text": "(3 - (5 - (-39))) * (-57)", "variable": null, "family": "expression_3op", "shape": "(* (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 5, \"c\": -39, \"d\": -57}", "seed": "9548094166480808707", "semantic_fingerprint": "sha256:69d578b31229d4a8f8bcffbbed1270c5fe4ad43f2e14ed40f4b3ae4e331eb24b", "generator_version": "3.0"}
{"id": "v3_test_id_00000705", "prompt": "Find x: 5(x - 8) = 12(x + 354) + 19", "solution_steps": ["Expand: 5x - 40 = 12(x + 354) + 19", "Expand: 5x - 40 = 12x + 4248 + 19", "Combine constants: 5x - 40 = 12x + 4267", "Subtract 12x from both sides: -7x - 40 = 4267", "Add 40 to both sides: -7x = 4307", "Divide both sides by -7: x = -4307/7"], "final_answer": "-4307/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 8) = 12(x + 354) + 19", "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\": 12, \"d\": 354, \"e\": 19}", "seed": "12848982666015311287", "semantic_fingerprint": "sha256:943e81cad05f648f6dfc8516a58f90e646bfb37b93b9834cc686adcb068f2d43", "generator_version": "3.0"}
{"id": "v3_test_id_00000706", "prompt": "What is -37 + (-4) * (-8 / (-94) * 72)?", "solution_steps": ["Divide: -8 / (-94) = 4/47", "Multiply: (4/47) * 72 = 288/47", "Multiply: -4 * (288/47) = -1152/47", "Add: -37 + (-1152/47) = -2891/47"], "final_answer": "-2891/47", "answer_type": "rational", "kind": "expression", "math_text": "-37 + (-4) * (-8 / (-94) * 72)", "variable": null, "family": "expression_4op", "shape": "(+ n (* n (* (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": -4, \"c\": -8, \"d\": -94, \"e\": 72}", "seed": "12308747460626410124", "semantic_fingerprint": "sha256:0f1a4b8dde4ab3d4ff04a451a88494a7403d015048c5ba1d96b0b1b41a960f25", "generator_version": "3.0"}
{"id": "v3_test_id_00000707", "prompt": "Evaluate: (46 - 9) * 94", "solution_steps": ["Subtract: 46 - 9 = 37", "Multiply: 37 * 94 = 3478"], "final_answer": "3478", "answer_type": "integer", "kind": "expression", "math_text": "(46 - 9) * 94", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": 9, \"c\": 94}", "seed": "3807581072501486784", "semantic_fingerprint": "sha256:5bc65f5e31cec73223bd384ce76bc53a7760adb3af968449e8aaa767d1efd206", "generator_version": "3.0"}
{"id": "v3_test_id_00000708", "prompt": "What is 59 + (727 + 2 / (-2))?", "solution_steps": ["Divide: 2 / (-2) = -1", "Add: 727 + (-1) = 726", "Add: 59 + 726 = 785"], "final_answer": "785", "answer_type": "integer", "kind": "expression", "math_text": "59 + (727 + 2 / (-2))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": 727, \"c\": 2, \"d\": -2}", "seed": "16138217118547082414", "semantic_fingerprint": "sha256:5d324955fe44155a9be9078c8fe81e219c3d43c7c4628e324eb3bac738828576", "generator_version": "3.0"}
{"id": "v3_test_id_00000709", "prompt": "Compute: -11 - 82", "solution_steps": ["Subtract: -11 - 82 = -93"], "final_answer": "-93", "answer_type": "integer", "kind": "expression", "math_text": "-11 - 82", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 82}", "seed": "2911024435350571800", "semantic_fingerprint": "sha256:b428c9a56b70898d8d58c41b34f4640acf66c5c5580f1d0aaa32f537e35a2545", "generator_version": "3.0"}
{"id": "v3_test_id_00000710", "prompt": "Solve for x: -7x + 21 = -3x + 65", "solution_steps": ["Add 3x to both sides: -4x + 21 = 65", "Subtract 21 from both sides: -4x = 44", "Divide both sides by -4: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x + 21 = -3x + 65", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 21, \"c\": -3, \"e\": 65, \"x\": -11}", "seed": "5940088888719702947", "semantic_fingerprint": "sha256:e7883328a98389d12cab08308c771a78e56b9119026f5b0bd2db34dc65170acc", "generator_version": "3.0"}
{"id": "v3_test_id_00000711", "prompt": "Compute: -421 + (-41)", "solution_steps": ["Add: -421 + (-41) = -462"], "final_answer": "-462", "answer_type": "integer", "kind": "expression", "math_text": "-421 + (-41)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -421, \"b\": -41}", "seed": "2150128622396905488", "semantic_fingerprint": "sha256:f9bcf258439d7f4fd3a42b58593ee38478686f0afb6506398b05a162ddff46d2", "generator_version": "3.0"}
{"id": "v3_test_id_00000712", "prompt": "What value of x satisfies -12(x + 4) + 340 = 10(x - 6)?", "solution_steps": ["Expand: -12x - 48 + 340 = 10(x - 6)", "Expand: -12x - 48 + 340 = 10x - 60", "Combine constants: -12x + 292 = 10x - 60", "Subtract 10x from both sides: -22x + 292 = -60", "Subtract 292 from both sides: -22x = -352", "Divide both sides by -22: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 4) + 340 = 10(x - 6)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 4, \"c\": 10, \"d\": 6, \"f\": 340, \"x\": 16}", "seed": "11515994221337801945", "semantic_fingerprint": "sha256:e6e82ee9e7e4ca770e4b23eb02df0e1e2d783d3348e64901a12d3a326016761e", "generator_version": "3.0"}
{"id": "v3_test_id_00000713", "prompt": "What is 7 / (88 / (240 * (-794 / 72)))?", "solution_steps": ["Divide: -794 / 72 = -397/36", "Multiply: 240 * (-397/36) = -7940/3", "Divide: 88 / (-7940/3) = -66/1985", "Divide: 7 / (-66/1985) = -13895/66"], "final_answer": "-13895/66", "answer_type": "rational", "kind": "expression", "math_text": "7 / (88 / (240 * (-794 / 72)))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ n (* n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 88, \"c\": 240, \"d\": -794, \"e\": 72}", "seed": "15286071611914969071", "semantic_fingerprint": "sha256:8a429731542053a03094425855a328becd87516f367ffdb334e460d3c7a92a13", "generator_version": "3.0"}
{"id": "v3_test_id_00000714", "prompt": "Solve for x: -2x + 137 = 11(x + 3)", "solution_steps": ["Expand: -2x + 137 = 11x + 33", "Subtract 11x from both sides: -13x + 137 = 33", "Subtract 137 from both sides: -13x = -104", "Divide both sides by -13: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x + 137 = 11(x + 3)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 11, \"c\": 3, \"e\": 137, \"x\": 8}", "seed": "2571143883867119714", "semantic_fingerprint": "sha256:ec98bdf2e9b670fb112c7d1b93a84c01fec6b5942304c48ee382be2302457ebd", "generator_version": "3.0"}
{"id": "v3_test_id_00000715", "prompt": "Evaluate: -52 + (-80) * (-474 + 7)", "solution_steps": ["Add: -474 + 7 = -467", "Multiply: -80 * (-467) = 37360", "Add: -52 + 37360 = 37308"], "final_answer": "37308", "answer_type": "integer", "kind": "expression", "math_text": "-52 + (-80) * (-474 + 7)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": -80, \"c\": -474, \"d\": 7}", "seed": "1685492745833436706", "semantic_fingerprint": "sha256:e276956b6befb85743d561a6e14aad6c95bf83c69807a336babf4c05672764cc", "generator_version": "3.0"}
{"id": "v3_test_id_00000716", "prompt": "Solve the equation x = -2(x - 89) - 178 for x.", "solution_steps": ["Expand: x = -2x + 178 - 178", "Combine constants: x = -2x", "Add 2x to both sides: 3x = 0", "Divide both sides by 3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -2(x - 89) - 178", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 89, \"d\": -178, \"x\": 0}", "seed": "14040180655824295293", "semantic_fingerprint": "sha256:221d61b4bdfe0cd5a2b0d5c1e04460e552ba882037277c1151ec5b1548b06c5f", "generator_version": "3.0"}
{"id": "v3_test_id_00000717", "prompt": "What value of x satisfies 6(x + 972) = 2(x - 3)?", "solution_steps": ["Expand: 6x + 5832 = 2(x - 3)", "Expand: 6x + 5832 = 2x - 6", "Subtract 2x from both sides: 4x + 5832 = -6", "Subtract 5832 from both sides: 4x = -5838", "Divide both sides by 4: x = -2919/2"], "final_answer": "-2919/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 972) = 2(x - 3)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 972, \"c\": 2, \"d\": 3}", "seed": "16218893820717239568", "semantic_fingerprint": "sha256:60334ef16c02291910d7d0ca814f386c1c25ed2caadebbd777d850479856e97e", "generator_version": "3.0"}
{"id": "v3_test_id_00000718", "prompt": "Find x: 12x + 666 = -9(x + 6) + 6", "solution_steps": ["Expand: 12x + 666 = -9x - 54 + 6", "Combine constants: 12x + 666 = -9x - 48", "Add 9x to both sides: 21x + 666 = -48", "Subtract 666 from both sides: 21x = -714", "Divide both sides by 21: x = -34"], "final_answer": "-34", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 666 = -9(x + 6) + 6", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 666, \"c\": -9, \"d\": 6, \"e\": 6}", "seed": "16734484768577143354", "semantic_fingerprint": "sha256:f01d3ab6bb3ef0b3db744102ea71557d5f29762eea45049e21c1f9b6d21250b4", "generator_version": "3.0"}
{"id": "v3_test_id_00000719", "prompt": "What is -7 / (-7)?", "solution_steps": ["Divide: -7 / (-7) = 1"], "final_answer": "1", "answer_type": "integer", "kind": "expression", "math_text": "-7 / (-7)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -7}", "seed": "9584078352286130666", "semantic_fingerprint": "sha256:83e2cb2ac311212546c9757da0aad37d705587063543146837546bb327a13839", "generator_version": "3.0"}
{"id": "v3_test_id_00000720", "prompt": "Solve for x: -9(x - 3) + 2 = -79", "solution_steps": ["Expand: -9x + 27 + 2 = -79", "Combine constants: -9x + 29 = -79", "Subtract 29 from both sides: -9x = -108", "Divide both sides by -9: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 3) + 2 = -79", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 3, \"c\": 2, \"e\": -79, \"x\": 12}", "seed": "5654363004684342266", "semantic_fingerprint": "sha256:5d9023eb3bbda988880213eae960eed5f977ff9d424a93ad5572dd28021637d8", "generator_version": "3.0"}
{"id": "v3_test_id_00000721", "prompt": "Solve the equation 4(x + 3) = 10(x - 668) - 9 for x.", "solution_steps": ["Expand: 4x + 12 = 10(x - 668) - 9", "Expand: 4x + 12 = 10x - 6680 - 9", "Combine constants: 4x + 12 = 10x - 6689", "Subtract 10x from both sides: -6x + 12 = -6689", "Subtract 12 from both sides: -6x = -6701", "Divide both sides by -6: x = 6701/6"], "final_answer": "6701/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 3) = 10(x - 668) - 9", "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\": 10, \"d\": 668, \"e\": 9}", "seed": "17755297134285434328", "semantic_fingerprint": "sha256:02ad2602d08511d7173a317a6e04ace37e1d85e51d5f0a73d0c6bc5a14af8d61", "generator_version": "3.0"}
{"id": "v3_test_id_00000722", "prompt": "Find x: x - 8 = 8(x - 42)", "solution_steps": ["Expand: x - 8 = 8x - 336", "Subtract 8x from both sides: -7x - 8 = -336", "Add 8 to both sides: -7x = -328", "Divide both sides by -7: x = 328/7"], "final_answer": "328/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 8 = 8(x - 42)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 8, \"c\": 42}", "seed": "4027273868920599576", "semantic_fingerprint": "sha256:052ac762806ab7edcfc8058912ad4f1ec7c10981ebabac9bf7558366498d769e", "generator_version": "3.0"}
{"id": "v3_test_id_00000723", "prompt": "What is 0 * (90 * 287 * (-1 + (-9)))?", "solution_steps": ["Multiply: 90 * 287 = 25830", "Add: -1 + (-9) = -10", "Multiply: 25830 * (-10) = -258300", "Multiply: 0 * (-258300) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (90 * 287 * (-1 + (-9)))", "variable": null, "family": "expression_4op", "shape": "(* n (* (* n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 90, \"c\": 287, \"d\": -1, \"e\": -9}", "seed": "904141250376855629", "semantic_fingerprint": "sha256:ded237fa66b9703b1ad3104156a54579c40219b8e79ae24200033d794ba49e23", "generator_version": "3.0"}
{"id": "v3_test_id_00000724", "prompt": "Find x: -6x - 271 = -8(x - 29) - 465", "solution_steps": ["Expand: -6x - 271 = -8x + 232 - 465", "Combine constants: -6x - 271 = -8x - 233", "Add 8x to both sides: 2x - 271 = -233", "Add 271 to both sides: 2x = 38", "Divide both sides by 2: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x - 271 = -8(x - 29) - 465", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 271, \"c\": -8, \"d\": 29, \"f\": -465, \"x\": 19}", "seed": "6055113905894718275", "semantic_fingerprint": "sha256:37c8c54cc2040d0d27c4ee44f084693dd24237c1fa6e9527682b04c45181aa4b", "generator_version": "3.0"}
{"id": "v3_test_id_00000725", "prompt": "Calculate: -5 * 22", "solution_steps": ["Multiply: -5 * 22 = -110"], "final_answer": "-110", "answer_type": "integer", "kind": "expression", "math_text": "-5 * 22", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 22}", "seed": "13934183225720323752", "semantic_fingerprint": "sha256:fe8e32325e378b81ea53e3aebddc9e162e7383a8672e0e5cafff159c41df9243", "generator_version": "3.0"}
{"id": "v3_test_id_00000726", "prompt": "Evaluate: 3 - (-520 + (-3))", "solution_steps": ["Add: -520 + (-3) = -523", "Subtract: 3 - (-523) = 526"], "final_answer": "526", "answer_type": "integer", "kind": "expression", "math_text": "3 - (-520 + (-3))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -520, \"c\": -3}", "seed": "10661220618628038032", "semantic_fingerprint": "sha256:9d551c8a053986ad8211ded8c738e158d179ad24e24b85e218a15a4ef90b6fc4", "generator_version": "3.0"}
{"id": "v3_test_id_00000727", "prompt": "Evaluate: 857 * (-6 / 65) - 856", "solution_steps": ["Divide: -6 / 65 = -6/65", "Multiply: 857 * (-6/65) = -5142/65", "Subtract: -5142/65 - 856 = -60782/65"], "final_answer": "-60782/65", "answer_type": "rational", "kind": "expression", "math_text": "857 * (-6 / 65) - 856", "variable": null, "family": "expression_3op", "shape": "(- (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 857, \"b\": -6, \"c\": 65, \"d\": 856}", "seed": "12645355080412773714", "semantic_fingerprint": "sha256:c3aacf03152304664ca08e2b2c3735ebc812f00d59e4708b45196a7ccb43f9fa", "generator_version": "3.0"}
{"id": "v3_test_id_00000728", "prompt": "Compute: -2 + 56", "solution_steps": ["Add: -2 + 56 = 54"], "final_answer": "54", "answer_type": "integer", "kind": "expression", "math_text": "-2 + 56", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 56}", "seed": "11229830300422011227", "semantic_fingerprint": "sha256:5ee73087abcef20487f6954dd70037fae4f2fc02ebefb41a36046a6c834ae584", "generator_version": "3.0"}
{"id": "v3_test_id_00000729", "prompt": "Evaluate: -7 / (1 - 9 / (-52))", "solution_steps": ["Divide: 9 / (-52) = -9/52", "Subtract: 1 - (-9/52) = 61/52", "Divide: -7 / (61/52) = -364/61"], "final_answer": "-364/61", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (1 - 9 / (-52))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 1, \"c\": 9, \"d\": -52}", "seed": "16874913460881730706", "semantic_fingerprint": "sha256:1f8917f9db909328fd5e8d19c0dd96e73f44a76040f5dfcf162869871f952f9c", "generator_version": "3.0"}
{"id": "v3_test_id_00000730", "prompt": "Calculate: 92 - (-49 / 47 + (-56 - 51 / 88))", "solution_steps": ["Divide: -49 / 47 = -49/47", "Divide: 51 / 88 = 51/88", "Subtract: -56 - 51/88 = -4979/88", "Add: -49/47 + (-4979/88) = -238325/4136", "Subtract: 92 - (-238325/4136) = 618837/4136"], "final_answer": "618837/4136", "answer_type": "rational", "kind": "expression", "math_text": "92 - (-49 / 47 + (-56 - 51 / 88))", "variable": null, "family": "expression_5op", "shape": "(- n (+ (/ n n) (- n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": -49, \"c\": 47, \"d\": -56, \"e\": 51, \"f\": 88}", "seed": "13505573375805305431", "semantic_fingerprint": "sha256:c3f5e4a40763fac2a8dcd48e4cac42191465f51e2b5bbfd0ba22ac38d12ad267", "generator_version": "3.0"}
{"id": "v3_test_id_00000731", "prompt": "Evaluate: -25 / 695 - (4 * (3 + 34) + 8)", "solution_steps": ["Divide: -25 / 695 = -5/139", "Add: 3 + 34 = 37", "Multiply: 4 * 37 = 148", "Add: 148 + 8 = 156", "Subtract: -5/139 - 156 = -21689/139"], "final_answer": "-21689/139", "answer_type": "rational", "kind": "expression", "math_text": "-25 / 695 - (4 * (3 + 34) + 8)", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (+ (* n (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": 695, \"c\": 4, \"d\": 3, \"e\": 34, \"f\": 8}", "seed": "14050025466649361172", "semantic_fingerprint": "sha256:f537aa3ddee879bcdcf55783f80b107403b79421eedbae6a165cfb821bd755a3", "generator_version": "3.0"}
{"id": "v3_test_id_00000732", "prompt": "Compute: (41 + (-13)) * (-97 * 88)", "solution_steps": ["Add: 41 + (-13) = 28", "Multiply: -97 * 88 = -8536", "Multiply: 28 * (-8536) = -239008"], "final_answer": "-239008", "answer_type": "integer", "kind": "expression", "math_text": "(41 + (-13)) * (-97 * 88)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": -13, \"c\": -97, \"d\": 88}", "seed": "2636810234614856246", "semantic_fingerprint": "sha256:c8a7eeb3c65e08f253462dc7720816cb14fe4df293c3763cbb6059ffe0ac1ab6", "generator_version": "3.0"}
{"id": "v3_test_id_00000733", "prompt": "Evaluate: -6 / (769 * (-54))", "solution_steps": ["Multiply: 769 * (-54) = -41526", "Divide: -6 / (-41526) = 1/6921"], "final_answer": "1/6921", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (769 * (-54))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 769, \"c\": -54}", "seed": "6851296452778096950", "semantic_fingerprint": "sha256:e16097f808021cefcc25dd57b8a51820fd0ae5f7ad73643d483040cb2feff996", "generator_version": "3.0"}
{"id": "v3_test_id_00000734", "prompt": "Compute: 8 * (-57)", "solution_steps": ["Multiply: 8 * (-57) = -456"], "final_answer": "-456", "answer_type": "integer", "kind": "expression", "math_text": "8 * (-57)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -57}", "seed": "17181996323998962974", "semantic_fingerprint": "sha256:a17b14d2f42082bdc94963d9b892e62ca4d155864ded79dd6f44305e8ae513f0", "generator_version": "3.0"}
{"id": "v3_test_id_00000735", "prompt": "Find x: 4(x - 8) - 5 = 8(x + 61) - 453", "solution_steps": ["Expand: 4x - 32 - 5 = 8(x + 61) - 453", "Expand: 4x - 32 - 5 = 8x + 488 - 453", "Combine constants: 4x - 37 = 8x + 488 - 453", "Combine constants: 4x - 37 = 8x + 35", "Subtract 8x from both sides: -4x - 37 = 35", "Add 37 to both sides: -4x = 72", "Divide both sides by -4: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 8) - 5 = 8(x + 61) - 453", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 8, \"c\": 5, \"d\": 8, \"e\": 61, \"g\": -453, \"x\": -18}", "seed": "4202597446291960617", "semantic_fingerprint": "sha256:caf32f78c9f0ec62e19ebc984c5327cca3f852c8b3ed471f94c40f7862a10c47", "generator_version": "3.0"}
{"id": "v3_test_id_00000736", "prompt": "Evaluate: 86 - 7 * 7", "solution_steps": ["Multiply: 7 * 7 = 49", "Subtract: 86 - 49 = 37"], "final_answer": "37", "answer_type": "integer", "kind": "expression", "math_text": "86 - 7 * 7", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 7, \"c\": 7}", "seed": "10090372604214747020", "semantic_fingerprint": "sha256:db1834db1572e97a3a4ed8fec63d0be4ffbab208894ff7d60cb5687afb3d5836", "generator_version": "3.0"}
{"id": "v3_test_id_00000737", "prompt": "Calculate: -1 - (-7) - (617 - 6)", "solution_steps": ["Subtract: -1 - (-7) = 6", "Subtract: 617 - 6 = 611", "Subtract: 6 - 611 = -605"], "final_answer": "-605", "answer_type": "integer", "kind": "expression", "math_text": "-1 - (-7) - (617 - 6)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -7, \"c\": 617, \"d\": 6}", "seed": "16988060067051920688", "semantic_fingerprint": "sha256:994fdf3e90295e30ec25963a44374ce68d15715ebd91c91a9ebdfa065edbe1bf", "generator_version": "3.0"}
{"id": "v3_test_id_00000738", "prompt": "What is (-43 - 903) * 6?", "solution_steps": ["Subtract: -43 - 903 = -946", "Multiply: -946 * 6 = -5676"], "final_answer": "-5676", "answer_type": "integer", "kind": "expression", "math_text": "(-43 - 903) * 6", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": 903, \"c\": 6}", "seed": "16637872226306720382", "semantic_fingerprint": "sha256:9ba16da6331f4c40b8e611a72770d20352faaedb97d612b320313ea0c0c8c4b5", "generator_version": "3.0"}
{"id": "v3_test_id_00000739", "prompt": "Calculate: 996 + (88 + (-42))", "solution_steps": ["Add: 88 + (-42) = 46", "Add: 996 + 46 = 1042"], "final_answer": "1042", "answer_type": "integer", "kind": "expression", "math_text": "996 + (88 + (-42))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 996, \"b\": 88, \"c\": -42}", "seed": "2103012884658748454", "semantic_fingerprint": "sha256:ec5d756a76c36efc566cc63403df895d7db37bb58e0c3d9f74c03a7360eed29c", "generator_version": "3.0"}
{"id": "v3_test_id_00000740", "prompt": "Calculate: -936 + 8", "solution_steps": ["Add: -936 + 8 = -928"], "final_answer": "-928", "answer_type": "integer", "kind": "expression", "math_text": "-936 + 8", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -936, \"b\": 8}", "seed": "1149662637436784592", "semantic_fingerprint": "sha256:e8418427f40349ee3847487b6b1b30caf796e517495191e8e35e219d74c7a395", "generator_version": "3.0"}
{"id": "v3_test_id_00000741", "prompt": "Calculate: 28 * (-246)", "solution_steps": ["Multiply: 28 * (-246) = -6888"], "final_answer": "-6888", "answer_type": "integer", "kind": "expression", "math_text": "28 * (-246)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": -246}", "seed": "487341477147955873", "semantic_fingerprint": "sha256:64825e32c2333e1a011e46cbba8e2715a2689c8f5a9e4871f3571a7295c09b61", "generator_version": "3.0"}
{"id": "v3_test_id_00000742", "prompt": "Compute: (6 - (-17)) / 1", "solution_steps": ["Subtract: 6 - (-17) = 23", "Divide: 23 / 1 = 23"], "final_answer": "23", "answer_type": "integer", "kind": "expression", "math_text": "(6 - (-17)) / 1", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -17, \"c\": 1}", "seed": "14054017319175658772", "semantic_fingerprint": "sha256:0f5982bdeb6a6af0fc37aab6a6548085c19fe0d3ebfa37382244c63d48f39e22", "generator_version": "3.0"}
{"id": "v3_test_id_00000743", "prompt": "Compute: 7 - (31 - (-43) - (-798) / 4)", "solution_steps": ["Subtract: 31 - (-43) = 74", "Divide: -798 / 4 = -399/2", "Subtract: 74 - (-399/2) = 547/2", "Subtract: 7 - 547/2 = -533/2"], "final_answer": "-533/2", "answer_type": "rational", "kind": "expression", "math_text": "7 - (31 - (-43) - (-798) / 4)", "variable": null, "family": "expression_4op", "shape": "(- n (- (- n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 31, \"c\": -43, \"d\": -798, \"e\": 4}", "seed": "9930532661839936552", "semantic_fingerprint": "sha256:a6aa10e621849c45fdcb8b90545fd853a46ab9e6715dc56ea46cd5a33ae58c4c", "generator_version": "3.0"}
{"id": "v3_test_id_00000744", "prompt": "What is -95 - (-331) + (-83)?", "solution_steps": ["Subtract: -95 - (-331) = 236", "Add: 236 + (-83) = 153"], "final_answer": "153", "answer_type": "integer", "kind": "expression", "math_text": "-95 - (-331) + (-83)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": -331, \"c\": -83}", "seed": "1555695077343383671", "semantic_fingerprint": "sha256:460324cc39454321642ebc223fd3fa70ded24fe97ce17d205b987ea25929711d", "generator_version": "3.0"}
{"id": "v3_test_id_00000745", "prompt": "What is -232 / (-3 / (-79) - (-23))?", "solution_steps": ["Divide: -3 / (-79) = 3/79", "Subtract: 3/79 - (-23) = 1820/79", "Divide: -232 / (1820/79) = -4582/455"], "final_answer": "-4582/455", "answer_type": "rational", "kind": "expression", "math_text": "-232 / (-3 / (-79) - (-23))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -232, \"b\": -3, \"c\": -79, \"d\": -23}", "seed": "489396852257878179", "semantic_fingerprint": "sha256:14736c53adf45ed464ffcbe1c3b8c7934b2cab23f857a8e1e9499d03cb809520", "generator_version": "3.0"}
{"id": "v3_test_id_00000746", "prompt": "Compute: (-19 + (-1)) * (93 + 86)", "solution_steps": ["Add: -19 + (-1) = -20", "Add: 93 + 86 = 179", "Multiply: -20 * 179 = -3580"], "final_answer": "-3580", "answer_type": "integer", "kind": "expression", "math_text": "(-19 + (-1)) * (93 + 86)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": -1, \"c\": 93, \"d\": 86}", "seed": "9532127431112993738", "semantic_fingerprint": "sha256:451f4194a4c8c58fffa9d6103a9144e254ad6cbf40d39c3d540cf9c8517a590b", "generator_version": "3.0"}
{"id": "v3_test_id_00000747", "prompt": "Solve the equation 12x = 5(x - 39) for x.", "solution_steps": ["Expand: 12x = 5x - 195", "Subtract 5x from both sides: 7x = -195", "Divide both sides by 7: x = -195/7"], "final_answer": "-195/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x = 5(x - 39)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": 39}", "seed": "12069774523954022012", "semantic_fingerprint": "sha256:eeafc0446bb23d8f3a47fe0ef9676fb5abea5efabd5d96948ca3e66fae7d892a", "generator_version": "3.0"}
{"id": "v3_test_id_00000748", "prompt": "Solve the equation x = -7(x + 57) + 471 for x.", "solution_steps": ["Expand: x = -7x - 399 + 471", "Combine constants: x = -7x + 72", "Add 7x to both sides: 8x = 72", "Divide both sides by 8: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -7(x + 57) + 471", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 57, \"d\": 471, \"x\": 9}", "seed": "12167340651831555511", "semantic_fingerprint": "sha256:1adee79d09f642aa56c0c9d3251a89ffaa044d54eb21cd1ee94626f6acee8bd0", "generator_version": "3.0"}
{"id": "v3_test_id_00000749", "prompt": "Evaluate: -8 * (-7 + 81)", "solution_steps": ["Add: -7 + 81 = 74", "Multiply: -8 * 74 = -592"], "final_answer": "-592", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (-7 + 81)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -7, \"c\": 81}", "seed": "14096473591904832663", "semantic_fingerprint": "sha256:7c64d1e5a0cd93e57b8f3c0b7c1b2c0fc08a0fd35d0b76727f04a7f2e619f7d6", "generator_version": "3.0"}
{"id": "v3_test_id_00000750", "prompt": "Solve the equation x = 4(x + 98) for x.", "solution_steps": ["Expand: x = 4x + 392", "Subtract 4x from both sides: -3x = 392", "Divide both sides by -3: x = -392/3"], "final_answer": "-392/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 4(x + 98)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 98}", "seed": "645958193960425451", "semantic_fingerprint": "sha256:ddf0f3223a0ae9e82485065af43c2c8e45609d8db61e4bb343ed119cc5efed83", "generator_version": "3.0"}
{"id": "v3_test_id_00000751", "prompt": "Compute: (-22 - 46) / 1", "solution_steps": ["Subtract: -22 - 46 = -68", "Divide: -68 / 1 = -68"], "final_answer": "-68", "answer_type": "integer", "kind": "expression", "math_text": "(-22 - 46) / 1", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": 46, \"c\": 1}", "seed": "9101200460849950265", "semantic_fingerprint": "sha256:6c228d810ae3db9fb0f072c53c0d72f4d6dc01b3182c12afcc4df008309ded32", "generator_version": "3.0"}
{"id": "v3_test_id_00000752", "prompt": "Calculate: -209 / 68 / (-49)", "solution_steps": ["Divide: -209 / 68 = -209/68", "Divide: (-209/68) / (-49) = 209/3332"], "final_answer": "209/3332", "answer_type": "rational", "kind": "expression", "math_text": "-209 / 68 / (-49)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -209, \"b\": 68, \"c\": -49}", "seed": "15404603512811622141", "semantic_fingerprint": "sha256:45f1efd3ce05b588e229dc7472ec6feba7193cfb55d84a273ac33bc4828d1c0a", "generator_version": "3.0"}
{"id": "v3_test_id_00000753", "prompt": "What value of x satisfies 11(x + 97) = -4x + 827?", "solution_steps": ["Expand: 11x + 1067 = -4x + 827", "Add 4x to both sides: 15x + 1067 = 827", "Subtract 1067 from both sides: 15x = -240", "Divide both sides by 15: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 97) = -4x + 827", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 97, \"c\": -4, \"e\": 827, \"x\": -16}", "seed": "18175339854663698109", "semantic_fingerprint": "sha256:89eb8ede5e8ccbbe9e205d59bdcfa379a6ced83527758ceb701380be307fcf64", "generator_version": "3.0"}
{"id": "v3_test_id_00000754", "prompt": "Compute: 0 / 7 * (-301) / 1", "solution_steps": ["Divide: 0 / 7 = 0", "Multiply: 0 * (-301) = 0", "Divide: 0 / 1 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / 7 * (-301) / 1", "variable": null, "family": "expression_3op", "shape": "(/ (* (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 7, \"c\": -301, \"d\": 1}", "seed": "7589391994537350539", "semantic_fingerprint": "sha256:07d3d2271b943af7de321c0e2122c86310298d84968835918e3a456d6c16355c", "generator_version": "3.0"}
{"id": "v3_test_id_00000755", "prompt": "Compute: 432 + (-19) + (-498)", "solution_steps": ["Add: 432 + (-19) = 413", "Add: 413 + (-498) = -85"], "final_answer": "-85", "answer_type": "integer", "kind": "expression", "math_text": "432 + (-19) + (-498)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 432, \"b\": -19, \"c\": -498}", "seed": "7846625619493916116", "semantic_fingerprint": "sha256:65d1f098122837a2d19bb640f8824743e7add67e60a0edebebcbfbaf8b1c0f26", "generator_version": "3.0"}
{"id": "v3_test_id_00000756", "prompt": "Find x: 12(x - 581) = 7(x + 6)", "solution_steps": ["Expand: 12x - 6972 = 7(x + 6)", "Expand: 12x - 6972 = 7x + 42", "Subtract 7x from both sides: 5x - 6972 = 42", "Add 6972 to both sides: 5x = 7014", "Divide both sides by 5: x = 7014/5"], "final_answer": "7014/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 581) = 7(x + 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 581, \"c\": 7, \"d\": 6}", "seed": "1512526077165844058", "semantic_fingerprint": "sha256:e140d777267074654740230899793c17f5d73668efab36202ef0dde0b4ab55d0", "generator_version": "3.0"}
{"id": "v3_test_id_00000757", "prompt": "Compute: -736 + 9 - (-815)", "solution_steps": ["Add: -736 + 9 = -727", "Subtract: -727 - (-815) = 88"], "final_answer": "88", "answer_type": "integer", "kind": "expression", "math_text": "-736 + 9 - (-815)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -736, \"b\": 9, \"c\": -815}", "seed": "14378577705738756494", "semantic_fingerprint": "sha256:80e885165f2d449a179dc605bee31bf1bc8ff692661645b770acfe510130fc37", "generator_version": "3.0"}
{"id": "v3_test_id_00000758", "prompt": "Evaluate: -4 / (-38) - (-39 - 6 - 58)", "solution_steps": ["Divide: -4 / (-38) = 2/19", "Subtract: -39 - 6 = -45", "Subtract: -45 - 58 = -103", "Subtract: 2/19 - (-103) = 1959/19"], "final_answer": "1959/19", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-38) - (-39 - 6 - 58)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -38, \"c\": -39, \"d\": 6, \"e\": 58}", "seed": "11321933516738094669", "semantic_fingerprint": "sha256:be43befc8909043d40cf448db678002d2a1f945699f630e5aaf76965745d1933", "generator_version": "3.0"}
{"id": "v3_test_id_00000759", "prompt": "Evaluate: -1 - 5 - 434 - (824 - (-22))", "solution_steps": ["Subtract: -1 - 5 = -6", "Subtract: -6 - 434 = -440", "Subtract: 824 - (-22) = 846", "Subtract: -440 - 846 = -1286"], "final_answer": "-1286", "answer_type": "integer", "kind": "expression", "math_text": "-1 - 5 - 434 - (824 - (-22))", "variable": null, "family": "expression_4op", "shape": "(- (- (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 5, \"c\": 434, \"d\": 824, \"e\": -22}", "seed": "9282714516537032185", "semantic_fingerprint": "sha256:1a7cadadbe992053a04b3999097f7aa03369d52f133dffb6fd8e686bd99e178e", "generator_version": "3.0"}
{"id": "v3_test_id_00000760", "prompt": "What value of x satisfies 10(x + 53) = x - 955?", "solution_steps": ["Expand: 10x + 530 = x - 955", "Subtract x from both sides: 9x + 530 = -955", "Subtract 530 from both sides: 9x = -1485", "Divide both sides by 9: x = -165"], "final_answer": "-165", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 53) = x - 955", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 53, \"c\": 955}", "seed": "9765408187251737887", "semantic_fingerprint": "sha256:ea23e5a7da6d63c63a73bb0de0372e447cb80ef8dd90c6b502e8da8e0349b97d", "generator_version": "3.0"}
{"id": "v3_test_id_00000761", "prompt": "Find x: x - 79 = -3x - 51", "solution_steps": ["Add 3x to both sides: 4x - 79 = -51", "Add 79 to both sides: 4x = 28", "Divide both sides by 4: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 79 = -3x - 51", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": -3, \"d\": -51, \"x\": 7}", "seed": "544154442298180002", "semantic_fingerprint": "sha256:0238b2a712478f7270db8579aec69726a4d0f2f1026728c5044ece3e2cc8da2d", "generator_version": "3.0"}
{"id": "v3_test_id_00000762", "prompt": "Solve the equation x = 10(x + 60) - 429 for x.", "solution_steps": ["Expand: x = 10x + 600 - 429", "Combine constants: x = 10x + 171", "Subtract 10x from both sides: -9x = 171", "Divide both sides by -9: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 10(x + 60) - 429", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 60, \"d\": -429, \"x\": -19}", "seed": "4473719386882095834", "semantic_fingerprint": "sha256:f7338a2a98c51f384754aa495961b500e461835c4dff32bcd8ea93221943d6da", "generator_version": "3.0"}
{"id": "v3_test_id_00000763", "prompt": "Compute: 443 - (-50) - 33 / 35", "solution_steps": ["Subtract: 443 - (-50) = 493", "Divide: 33 / 35 = 33/35", "Subtract: 493 - 33/35 = 17222/35"], "final_answer": "17222/35", "answer_type": "rational", "kind": "expression", "math_text": "443 - (-50) - 33 / 35", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 443, \"b\": -50, \"c\": 33, \"d\": 35}", "seed": "15299200436590153288", "semantic_fingerprint": "sha256:b3cc5c58af185c5a2035dfed586e8fe7541659ff01b6a9984ab2004e0aac46a1", "generator_version": "3.0"}
{"id": "v3_test_id_00000764", "prompt": "What value of x satisfies 2(x - 1) - 297 = 4x - 267?", "solution_steps": ["Expand: 2x - 2 - 297 = 4x - 267", "Combine constants: 2x - 299 = 4x - 267", "Subtract 4x from both sides: -2x - 299 = -267", "Add 299 to both sides: -2x = 32", "Divide both sides by -2: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 1) - 297 = 4x - 267", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 1, \"c\": 297, \"d\": 4, \"f\": -267, \"x\": -16}", "seed": "6830889156110810656", "semantic_fingerprint": "sha256:e4db37c94cdee6a2c06f093adc0fdb492ea0ff18d4d25ea8c2372790bc8d998a", "generator_version": "3.0"}
{"id": "v3_test_id_00000765", "prompt": "What value of x satisfies -5(x - 63) - 247 = 11(x - 6) + 374?", "solution_steps": ["Expand: -5x + 315 - 247 = 11(x - 6) + 374", "Expand: -5x + 315 - 247 = 11x - 66 + 374", "Combine constants: -5x + 68 = 11x - 66 + 374", "Combine constants: -5x + 68 = 11x + 308", "Subtract 11x from both sides: -16x + 68 = 308", "Subtract 68 from both sides: -16x = 240", "Divide both sides by -16: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 63) - 247 = 11(x - 6) + 374", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 63, \"c\": 247, \"d\": 11, \"e\": 6, \"g\": 374, \"x\": -15}", "seed": "9875518301950460261", "semantic_fingerprint": "sha256:904751c68b0ef0cae438f531469c93c45276fb51d4c7fa8715afdd7838738188", "generator_version": "3.0"}
{"id": "v3_test_id_00000766", "prompt": "What is -8 - 56 - (4 + (-53))?", "solution_steps": ["Subtract: -8 - 56 = -64", "Add: 4 + (-53) = -49", "Subtract: -64 - (-49) = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "expression", "math_text": "-8 - 56 - (4 + (-53))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 56, \"c\": 4, \"d\": -53}", "seed": "18282153203303877348", "semantic_fingerprint": "sha256:3c5a921989d3274fde9a87e6f39f04d25aefad2f6ae2b7657be363d580b17cde", "generator_version": "3.0"}
{"id": "v3_test_id_00000767", "prompt": "Solve the equation -3(x - 786) - 666 = 6(x + 4) + 67 for x.", "solution_steps": ["Expand: -3x + 2358 - 666 = 6(x + 4) + 67", "Expand: -3x + 2358 - 666 = 6x + 24 + 67", "Combine constants: -3x + 1692 = 6x + 24 + 67", "Combine constants: -3x + 1692 = 6x + 91", "Subtract 6x from both sides: -9x + 1692 = 91", "Subtract 1692 from both sides: -9x = -1601", "Divide both sides by -9: x = 1601/9"], "final_answer": "1601/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 786) - 666 = 6(x + 4) + 67", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 786, \"c\": 666, \"d\": 6, \"e\": 4, \"f\": 67}", "seed": "2239823207666498328", "semantic_fingerprint": "sha256:d92688dd857fac50cb648e213371edc0ce5ab35649c3470d52a86465470a282e", "generator_version": "3.0"}
{"id": "v3_test_id_00000768", "prompt": "Calculate: (-2 * (-57) - (-491)) / (-1 - 48 + (-5))", "solution_steps": ["Multiply: -2 * (-57) = 114", "Subtract: 114 - (-491) = 605", "Subtract: -1 - 48 = -49", "Add: -49 + (-5) = -54", "Divide: 605 / (-54) = -605/54"], "final_answer": "-605/54", "answer_type": "rational", "kind": "expression", "math_text": "(-2 * (-57) - (-491)) / (-1 - 48 + (-5))", "variable": null, "family": "expression_5op", "shape": "(/ (- (* n n) n) (+ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -57, \"c\": -491, \"d\": -1, \"e\": 48, \"f\": -5}", "seed": "10536155433701920672", "semantic_fingerprint": "sha256:9d1dc4a1f080a7220897a706448d1fdb3ef42c3718cd2f52a6fa280195b7eb6e", "generator_version": "3.0"}
{"id": "v3_test_id_00000769", "prompt": "What is (189 - 25) / (-152) + 68?", "solution_steps": ["Subtract: 189 - 25 = 164", "Divide: 164 / (-152) = -41/38", "Add: -41/38 + 68 = 2543/38"], "final_answer": "2543/38", "answer_type": "rational", "kind": "expression", "math_text": "(189 - 25) / (-152) + 68", "variable": null, "family": "expression_3op", "shape": "(+ (/ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 189, \"b\": 25, \"c\": -152, \"d\": 68}", "seed": "9929724555497448042", "semantic_fingerprint": "sha256:db2ed605f84af259784290d31dd8bfd52f424dae695723cf7abebdf6475c4d2a", "generator_version": "3.0"}
{"id": "v3_test_id_00000770", "prompt": "Find x: -10(x + 7) - 5 = -7(x - 572) - 672", "solution_steps": ["Expand: -10x - 70 - 5 = -7(x - 572) - 672", "Expand: -10x - 70 - 5 = -7x + 4004 - 672", "Combine constants: -10x - 75 = -7x + 4004 - 672", "Combine constants: -10x - 75 = -7x + 3332", "Add 7x to both sides: -3x - 75 = 3332", "Add 75 to both sides: -3x = 3407", "Divide both sides by -3: x = -3407/3"], "final_answer": "-3407/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x + 7) - 5 = -7(x - 572) - 672", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 7, \"c\": 5, \"d\": -7, \"e\": 572, \"f\": 672}", "seed": "10850315875340215129", "semantic_fingerprint": "sha256:a8a84edb6b6324e954691ac3ae963a7eb4506995b8a15339a0ca06614a106b23", "generator_version": "3.0"}
{"id": "v3_test_id_00000771", "prompt": "Solve the equation 12(x - 983) = -2(x + 47) for x.", "solution_steps": ["Expand: 12x - 11796 = -2(x + 47)", "Expand: 12x - 11796 = -2x - 94", "Add 2x to both sides: 14x - 11796 = -94", "Add 11796 to both sides: 14x = 11702", "Divide both sides by 14: x = 5851/7"], "final_answer": "5851/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 983) = -2(x + 47)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 983, \"c\": -2, \"d\": 47}", "seed": "690116642402590126", "semantic_fingerprint": "sha256:171ceab736932a5484ddfd40ebe003c8eb38c7b1ebcca61f380aea5d727e3f21", "generator_version": "3.0"}
{"id": "v3_test_id_00000772", "prompt": "Compute: 8 * 39", "solution_steps": ["Multiply: 8 * 39 = 312"], "final_answer": "312", "answer_type": "integer", "kind": "expression", "math_text": "8 * 39", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 39}", "seed": "2930043596606338803", "semantic_fingerprint": "sha256:2a7d4e414a853ea2685dc0ca10f5d060b00345aa230a3fc2bd51f7f5ad40bb15", "generator_version": "3.0"}
{"id": "v3_test_id_00000773", "prompt": "What value of x satisfies x + 56 = 10(x + 79) - 44?", "solution_steps": ["Expand: x + 56 = 10x + 790 - 44", "Combine constants: x + 56 = 10x + 746", "Subtract 10x from both sides: -9x + 56 = 746", "Subtract 56 from both sides: -9x = 690", "Divide both sides by -9: x = -230/3"], "final_answer": "-230/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 56 = 10(x + 79) - 44", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 10, \"c\": 79, \"d\": 44}", "seed": "18180124664660567760", "semantic_fingerprint": "sha256:eb7f897f78638bdf3644c592d2b2462189ef68ad3572483376874fecfdb49c14", "generator_version": "3.0"}
{"id": "v3_test_id_00000774", "prompt": "Calculate: -6 * (-2) / (-383)", "solution_steps": ["Multiply: -6 * (-2) = 12", "Divide: 12 / (-383) = -12/383"], "final_answer": "-12/383", "answer_type": "rational", "kind": "expression", "math_text": "-6 * (-2) / (-383)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -2, \"c\": -383}", "seed": "716202777575830409", "semantic_fingerprint": "sha256:c01ef4f4bb2b1b4d1ebffdb0934b4ba9dae092d6faa783db85e79bc674939f02", "generator_version": "3.0"}
{"id": "v3_test_id_00000775", "prompt": "What value of x satisfies -3x + 65 = 4(x + 45) - 185?", "solution_steps": ["Expand: -3x + 65 = 4x + 180 - 185", "Combine constants: -3x + 65 = 4x - 5", "Subtract 4x from both sides: -7x + 65 = -5", "Subtract 65 from both sides: -7x = -70", "Divide both sides by -7: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x + 65 = 4(x + 45) - 185", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 65, \"c\": 4, \"d\": 45, \"f\": -185, \"x\": 10}", "seed": "13791687428669799046", "semantic_fingerprint": "sha256:3441a0984391c77f82a4e01af12f3b30f5787dfb68b53a7ccc7ec3a856f1338e", "generator_version": "3.0"}
{"id": "v3_test_id_00000776", "prompt": "Calculate: -98 - (-33 + (-56) - 77) + (-167 - 8)", "solution_steps": ["Add: -33 + (-56) = -89", "Subtract: -89 - 77 = -166", "Subtract: -98 - (-166) = 68", "Subtract: -167 - 8 = -175", "Add: 68 + (-175) = -107"], "final_answer": "-107", "answer_type": "integer", "kind": "expression", "math_text": "-98 - (-33 + (-56) - 77) + (-167 - 8)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (- (+ n n) n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -98, \"b\": -33, \"c\": -56, \"d\": 77, \"e\": -167, \"f\": 8}", "seed": "18395939772589838443", "semantic_fingerprint": "sha256:62b9497248a82fab20837f46eee782615e3abc1415705ca778d185cde6729f46", "generator_version": "3.0"}
{"id": "v3_test_id_00000777", "prompt": "Calculate: (109 + (3 - (2 - (-63)))) / (-50 / 793)", "solution_steps": ["Subtract: 2 - (-63) = 65", "Subtract: 3 - 65 = -62", "Add: 109 + (-62) = 47", "Divide: -50 / 793 = -50/793", "Divide: 47 / (-50/793) = -37271/50"], "final_answer": "-37271/50", "answer_type": "rational", "kind": "expression", "math_text": "(109 + (3 - (2 - (-63)))) / (-50 / 793)", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (- n (- n n))) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 109, \"b\": 3, \"c\": 2, \"d\": -63, \"e\": -50, \"f\": 793}", "seed": "2939129992985847867", "semantic_fingerprint": "sha256:292949b6f2a690747164589475cfe2937c2f8dd7c3b35f39d46c8b58c11a4f07", "generator_version": "3.0"}
{"id": "v3_test_id_00000778", "prompt": "What is 72 * (-975 / 127)?", "solution_steps": ["Divide: -975 / 127 = -975/127", "Multiply: 72 * (-975/127) = -70200/127"], "final_answer": "-70200/127", "answer_type": "rational", "kind": "expression", "math_text": "72 * (-975 / 127)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": -975, \"c\": 127}", "seed": "4546355796412746900", "semantic_fingerprint": "sha256:7628bc4f0ade6ee6da18b2bac53f6e5e3cfc5caa7f905d5893c7d73ef06a0826", "generator_version": "3.0"}
{"id": "v3_test_id_00000779", "prompt": "What is 28 - (-41)?", "solution_steps": ["Subtract: 28 - (-41) = 69"], "final_answer": "69", "answer_type": "integer", "kind": "expression", "math_text": "28 - (-41)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": -41}", "seed": "5351893211814208961", "semantic_fingerprint": "sha256:459e472586dd6cc80cd2822e5ee0dbc8ee95ef8e7494e940e27542e8de19ba87", "generator_version": "3.0"}
{"id": "v3_test_id_00000780", "prompt": "What value of x satisfies -5(x - 4) + 594 = x + 578?", "solution_steps": ["Expand: -5x + 20 + 594 = x + 578", "Combine constants: -5x + 614 = x + 578", "Subtract x from both sides: -6x + 614 = 578", "Subtract 614 from both sides: -6x = -36", "Divide both sides by -6: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 4) + 594 = x + 578", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 4, \"c\": 594, \"e\": 578, \"x\": 6}", "seed": "10288383943959862238", "semantic_fingerprint": "sha256:66a496efd868ae0ce9c446057ff21a1b5f938b3cf25a3623d17d5f898e1c2224", "generator_version": "3.0"}
{"id": "v3_test_id_00000781", "prompt": "What is -83 * (-72) / 4?", "solution_steps": ["Multiply: -83 * (-72) = 5976", "Divide: 5976 / 4 = 1494"], "final_answer": "1494", "answer_type": "integer", "kind": "expression", "math_text": "-83 * (-72) / 4", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": -72, \"c\": 4}", "seed": "4323596232646190274", "semantic_fingerprint": "sha256:18b0204bef1c7ff8bf1f196c11393c3acc052b6f2ce7755176ba65ccc2d3bca9", "generator_version": "3.0"}
{"id": "v3_test_id_00000782", "prompt": "What is -9 + (0 - (53 + (-59 + 9)))?", "solution_steps": ["Add: -59 + 9 = -50", "Add: 53 + (-50) = 3", "Subtract: 0 - 3 = -3", "Add: -9 + (-3) = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "expression", "math_text": "-9 + (0 - (53 + (-59 + 9)))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (+ n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 0, \"c\": 53, \"d\": -59, \"e\": 9}", "seed": "17942186981555007181", "semantic_fingerprint": "sha256:f15feaf4ffc49236593bbb2f5c2c529e3ca6790b6be4d08daf16f684fcf807a0", "generator_version": "3.0"}
{"id": "v3_test_id_00000783", "prompt": "Find x: -7x = x - 24", "solution_steps": ["Subtract x from both sides: -8x = -24", "Divide both sides by -8: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x = x - 24", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"c\": -24, \"x\": 3}", "seed": "18223178682910970805", "semantic_fingerprint": "sha256:85eb221bb0b6e3f5d632d6c74cd888871db3c53180a4f3bec822ace5030f4fd4", "generator_version": "3.0"}
{"id": "v3_test_id_00000784", "prompt": "Solve the equation -12(x - 1) + 3 = 10(x - 1) + 25 for x.", "solution_steps": ["Expand: -12x + 12 + 3 = 10(x - 1) + 25", "Expand: -12x + 12 + 3 = 10x - 10 + 25", "Combine constants: -12x + 15 = 10x - 10 + 25", "Combine constants: -12x + 15 = 10x + 15", "Subtract 10x from both sides: -22x + 15 = 15", "Subtract 15 from both sides: -22x = 0", "Divide both sides by -22: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 1) + 3 = 10(x - 1) + 25", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 1, \"c\": 3, \"d\": 10, \"e\": 1, \"g\": 25, \"x\": 0}", "seed": "13239188733771527960", "semantic_fingerprint": "sha256:133947df3475646f9270c35d37d137b204bb27fe877fd81a8c1ba2fec6fa8222", "generator_version": "3.0"}
{"id": "v3_test_id_00000785", "prompt": "Find x: x = 10x", "solution_steps": ["Subtract 10x from both sides: -9x = 0", "Divide both sides by -9: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 10x", "variable": "x", "family": "linear_equation", "shape": "x=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 10}", "seed": "898932554288121909", "semantic_fingerprint": "sha256:f43e2b9b018ef1e6577d4e23e7702d42a306f444e47cdbe252162f981898676f", "generator_version": "3.0"}
{"id": "v3_test_id_00000786", "prompt": "Calculate: -842 + 0", "solution_steps": ["Add: -842 + 0 = -842"], "final_answer": "-842", "answer_type": "integer", "kind": "expression", "math_text": "-842 + 0", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -842, \"b\": 0}", "seed": "13052685025768690030", "semantic_fingerprint": "sha256:f3fc9d18ac562657a177881a818de6b2bae6e72065abcaee1c21d66164cb974a", "generator_version": "3.0"}
{"id": "v3_test_id_00000787", "prompt": "Find x: -6(x - 5) - 95 = x - 44", "solution_steps": ["Expand: -6x + 30 - 95 = x - 44", "Combine constants: -6x - 65 = x - 44", "Subtract x from both sides: -7x - 65 = -44", "Add 65 to both sides: -7x = 21", "Divide both sides by -7: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 5) - 95 = x - 44", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 5, \"c\": 95, \"e\": -44, \"x\": -3}", "seed": "17404508697861922942", "semantic_fingerprint": "sha256:611aa4afaddfff0f521e0563c322574af2cbc35e8c42a5d500fb92cecdd64b96", "generator_version": "3.0"}
{"id": "v3_test_id_00000788", "prompt": "Calculate: -59 / (-456)", "solution_steps": ["Divide: -59 / (-456) = 59/456"], "final_answer": "59/456", "answer_type": "rational", "kind": "expression", "math_text": "-59 / (-456)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": -456}", "seed": "2313817454131368700", "semantic_fingerprint": "sha256:c9767713dae1c8346d67471ec0de3199a035c7ef783e0cf631e28cbd91374f5a", "generator_version": "3.0"}
{"id": "v3_test_id_00000789", "prompt": "Evaluate: -801 + 4", "solution_steps": ["Add: -801 + 4 = -797"], "final_answer": "-797", "answer_type": "integer", "kind": "expression", "math_text": "-801 + 4", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -801, \"b\": 4}", "seed": "16698514010074899613", "semantic_fingerprint": "sha256:34c58c434e354de8515cd94ad72d8a944bcf077ef8b0dfe66af927455e070026", "generator_version": "3.0"}
{"id": "v3_test_id_00000790", "prompt": "What value of x satisfies 5(x - 70) - 86 = 258?", "solution_steps": ["Expand: 5x - 350 - 86 = 258", "Combine constants: 5x - 436 = 258", "Add 436 to both sides: 5x = 694", "Divide both sides by 5: x = 694/5"], "final_answer": "694/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 70) - 86 = 258", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 70, \"c\": 86, \"d\": 258}", "seed": "5686665350831346963", "semantic_fingerprint": "sha256:40546f55270d27d25f3566583a623d504718a204255b4135d84cbb020290d768", "generator_version": "3.0"}
{"id": "v3_test_id_00000791", "prompt": "Evaluate: 75 * (-62 / (-87 + (-347) + (-62)))", "solution_steps": ["Add: -87 + (-347) = -434", "Add: -434 + (-62) = -496", "Divide: -62 / (-496) = 1/8", "Multiply: 75 * (1/8) = 75/8"], "final_answer": "75/8", "answer_type": "rational", "kind": "expression", "math_text": "75 * (-62 / (-87 + (-347) + (-62)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ n (+ (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": -62, \"c\": -87, \"d\": -347, \"e\": -62}", "seed": "12405023968394347196", "semantic_fingerprint": "sha256:2816e4587faf18874376c1d9189130d442b7d815f4d3eae84ebaf8a2b748fc74", "generator_version": "3.0"}
{"id": "v3_test_id_00000792", "prompt": "Solve the equation 12(x + 83) = 924 for x.", "solution_steps": ["Expand: 12x + 996 = 924", "Subtract 996 from both sides: 12x = -72", "Divide both sides by 12: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 83) = 924", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 83, \"d\": 924, \"x\": -6}", "seed": "18414060742930118119", "semantic_fingerprint": "sha256:9732331f7545f76e44330de896715afe11baa54b8b319220407b55011cfc2b5d", "generator_version": "3.0"}
{"id": "v3_test_id_00000793", "prompt": "What is 53 * (1 + (-942))?", "solution_steps": ["Add: 1 + (-942) = -941", "Multiply: 53 * (-941) = -49873"], "final_answer": "-49873", "answer_type": "integer", "kind": "expression", "math_text": "53 * (1 + (-942))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": 1, \"c\": -942}", "seed": "8470101238502665868", "semantic_fingerprint": "sha256:799373e00efa4644760cea011b5259829e41ad623793554e447d0f6ad0874ca0", "generator_version": "3.0"}
{"id": "v3_test_id_00000794", "prompt": "Solve the equation -11x - 1 = 4(x + 52) for x.", "solution_steps": ["Expand: -11x - 1 = 4x + 208", "Subtract 4x from both sides: -15x - 1 = 208", "Add 1 to both sides: -15x = 209", "Divide both sides by -15: x = -209/15"], "final_answer": "-209/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11x - 1 = 4(x + 52)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 1, \"c\": 4, \"d\": 52}", "seed": "11129881815420206637", "semantic_fingerprint": "sha256:3e74cebb418883aaa8d343d61e67ecf7a7357044c8ca520287c8be3d79b2d159", "generator_version": "3.0"}
{"id": "v3_test_id_00000795", "prompt": "Solve for x: 3(x + 211) - 655 = x", "solution_steps": ["Expand: 3x + 633 - 655 = x", "Combine constants: 3x - 22 = x", "Subtract x from both sides: 2x - 22 = 0", "Add 22 to both sides: 2x = 22", "Divide both sides by 2: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 211) - 655 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 211, \"d\": -655, \"x\": 11}", "seed": "13538576766645916396", "semantic_fingerprint": "sha256:5f3abe0e1b05b2178fac7747763439e7abd4d66e7003be702820796e2ae51801", "generator_version": "3.0"}
{"id": "v3_test_id_00000796", "prompt": "Evaluate: (-44 + (-8) - (-193) * (-36)) / (-751)", "solution_steps": ["Add: -44 + (-8) = -52", "Multiply: -193 * (-36) = 6948", "Subtract: -52 - 6948 = -7000", "Divide: -7000 / (-751) = 7000/751"], "final_answer": "7000/751", "answer_type": "rational", "kind": "expression", "math_text": "(-44 + (-8) - (-193) * (-36)) / (-751)", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -8, \"c\": -193, \"d\": -36, \"e\": -751}", "seed": "7005394325117555074", "semantic_fingerprint": "sha256:dfcf04b001c8abf1a821a48ea45558f83e920c26d65f2da4382496755e8c4501", "generator_version": "3.0"}
{"id": "v3_test_id_00000797", "prompt": "Compute: -770 - (41 - (-78) - (-1)) + (9 + 7)", "solution_steps": ["Subtract: 41 - (-78) = 119", "Subtract: 119 - (-1) = 120", "Subtract: -770 - 120 = -890", "Add: 9 + 7 = 16", "Add: -890 + 16 = -874"], "final_answer": "-874", "answer_type": "integer", "kind": "expression", "math_text": "-770 - (41 - (-78) - (-1)) + (9 + 7)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (- (- n n) n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -770, \"b\": 41, \"c\": -78, \"d\": -1, \"e\": 9, \"f\": 7}", "seed": "9584503874297121997", "semantic_fingerprint": "sha256:fdcab174095826c617f1d002d54652bc73b99f4e460b6dce38854cab8d805da4", "generator_version": "3.0"}
{"id": "v3_test_id_00000798", "prompt": "Compute: 24 + 23 / 90", "solution_steps": ["Divide: 23 / 90 = 23/90", "Add: 24 + 23/90 = 2183/90"], "final_answer": "2183/90", "answer_type": "rational", "kind": "expression", "math_text": "24 + 23 / 90", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": 23, \"c\": 90}", "seed": "8945149269256098024", "semantic_fingerprint": "sha256:179f1002e483e38a6f2dc4c1be0bc700c10ede409cef84a011b6afaba7acf891", "generator_version": "3.0"}
{"id": "v3_test_id_00000799", "prompt": "Evaluate: -57 - (-3)", "solution_steps": ["Subtract: -57 - (-3) = -54"], "final_answer": "-54", "answer_type": "integer", "kind": "expression", "math_text": "-57 - (-3)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": -3}", "seed": "8065221573334849632", "semantic_fingerprint": "sha256:080b279ac96a31f70c648f0bc33d1497623c94f402fa757cf2949ee189eec8cf", "generator_version": "3.0"}
{"id": "v3_test_id_00000800", "prompt": "Solve for x: 12x - 742 = x - 632", "solution_steps": ["Subtract x from both sides: 11x - 742 = -632", "Add 742 to both sides: 11x = 110", "Divide both sides by 11: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 742 = x - 632", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 742, \"d\": -632, \"x\": 10}", "seed": "1651202837207786269", "semantic_fingerprint": "sha256:df1e57f1c8d7563bfe21fd4be8441337285ed04a23f715f24c4953a1ba068e00", "generator_version": "3.0"}
{"id": "v3_test_id_00000801", "prompt": "Compute: (8 * (-5) - (-62 + 453)) * (-8) * 50", "solution_steps": ["Multiply: 8 * (-5) = -40", "Add: -62 + 453 = 391", "Subtract: -40 - 391 = -431", "Multiply: -431 * (-8) = 3448", "Multiply: 3448 * 50 = 172400"], "final_answer": "172400", "answer_type": "integer", "kind": "expression", "math_text": "(8 * (-5) - (-62 + 453)) * (-8) * 50", "variable": null, "family": "expression_5op", "shape": "(* (* (- (* n n) (+ n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -5, \"c\": -62, \"d\": 453, \"e\": -8, \"f\": 50}", "seed": "2560488230104438662", "semantic_fingerprint": "sha256:8d81c93c7501bcc5f474f31d466127bb0b15a6b260970a4730397a6876d4e650", "generator_version": "3.0"}
{"id": "v3_test_id_00000802", "prompt": "Evaluate: 0 * 982", "solution_steps": ["Multiply: 0 * 982 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * 982", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 982}", "seed": "846135845666436915", "semantic_fingerprint": "sha256:9a8d93c77e77dcb8b0f64524345561c7be3926d196852b084957fa38518a7d1b", "generator_version": "3.0"}
{"id": "v3_test_id_00000803", "prompt": "Solve the equation -9(x - 7) = -2(x - 35) + 133 for x.", "solution_steps": ["Expand: -9x + 63 = -2(x - 35) + 133", "Expand: -9x + 63 = -2x + 70 + 133", "Combine constants: -9x + 63 = -2x + 203", "Add 2x to both sides: -7x + 63 = 203", "Subtract 63 from both sides: -7x = 140", "Divide both sides by -7: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 7) = -2(x - 35) + 133", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 7, \"c\": -2, \"d\": 35, \"f\": 133, \"x\": -20}", "seed": "12543390348049583071", "semantic_fingerprint": "sha256:943f8ca2eeb43d5c9efd3ed64c14f8d30068881836ff5220974941651de97293", "generator_version": "3.0"}
{"id": "v3_test_id_00000804", "prompt": "Solve the equation 5x - 16 = 54 for x.", "solution_steps": ["Add 16 to both sides: 5x = 70", "Divide both sides by 5: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 16 = 54", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 16, \"d\": 54, \"x\": 14}", "seed": "3579935790478479480", "semantic_fingerprint": "sha256:fbe840d3f62616b9964e92c0fffb3e45814d517a8317118a08a9443227db2840", "generator_version": "3.0"}
{"id": "v3_test_id_00000805", "prompt": "Compute: -14 / (-22 - 2)", "solution_steps": ["Subtract: -22 - 2 = -24", "Divide: -14 / (-24) = 7/12"], "final_answer": "7/12", "answer_type": "rational", "kind": "expression", "math_text": "-14 / (-22 - 2)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -14, \"b\": -22, \"c\": 2}", "seed": "12112214133512298264", "semantic_fingerprint": "sha256:6d1206bc097a294e50ecac5ee3828e2c6b8453b3f90398208fd561f1fb237cd7", "generator_version": "3.0"}
{"id": "v3_test_id_00000806", "prompt": "What value of x satisfies 6x + 952 = 8(x + 2) + 922?", "solution_steps": ["Expand: 6x + 952 = 8x + 16 + 922", "Combine constants: 6x + 952 = 8x + 938", "Subtract 8x from both sides: -2x + 952 = 938", "Subtract 952 from both sides: -2x = -14", "Divide both sides by -2: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x + 952 = 8(x + 2) + 922", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 952, \"c\": 8, \"d\": 2, \"f\": 922, \"x\": 7}", "seed": "8594529516352905676", "semantic_fingerprint": "sha256:e5fd8981ba1d673960bda50c70ee6dcffeef696b0a0b86617ef987b3c549d682", "generator_version": "3.0"}
{"id": "v3_test_id_00000807", "prompt": "What value of x satisfies 9(x + 1) - 294 = -6x?", "solution_steps": ["Expand: 9x + 9 - 294 = -6x", "Combine constants: 9x - 285 = -6x", "Add 6x to both sides: 15x - 285 = 0", "Add 285 to both sides: 15x = 285", "Divide both sides by 15: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 1) - 294 = -6x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 1, \"c\": -6, \"e\": -294, \"x\": 19}", "seed": "11164380590539237994", "semantic_fingerprint": "sha256:e7f886e5c8c4150132ace4111240bc3512691048a2b99f76a81fb318b5ec8b74", "generator_version": "3.0"}
{"id": "v3_test_id_00000808", "prompt": "Compute: -89 + (-57)", "solution_steps": ["Add: -89 + (-57) = -146"], "final_answer": "-146", "answer_type": "integer", "kind": "expression", "math_text": "-89 + (-57)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -89, \"b\": -57}", "seed": "8009685875536857207", "semantic_fingerprint": "sha256:94ac30bdf062c6939388c49f61e93849d0a047677b16f10f3b37464158dbd858", "generator_version": "3.0"}
{"id": "v3_test_id_00000809", "prompt": "Solve for x: -11(x + 7) - 74 = 10(x + 88) - 947", "solution_steps": ["Expand: -11x - 77 - 74 = 10(x + 88) - 947", "Expand: -11x - 77 - 74 = 10x + 880 - 947", "Combine constants: -11x - 151 = 10x + 880 - 947", "Combine constants: -11x - 151 = 10x - 67", "Subtract 10x from both sides: -21x - 151 = -67", "Add 151 to both sides: -21x = 84", "Divide both sides by -21: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 7) - 74 = 10(x + 88) - 947", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 7, \"c\": 74, \"d\": 10, \"e\": 88, \"g\": -947, \"x\": -4}", "seed": "4703066156326729654", "semantic_fingerprint": "sha256:6613e14f26c016b8e00e7db42f7a408da753429c2310e783755537dd3dcdc371", "generator_version": "3.0"}
{"id": "v3_test_id_00000810", "prompt": "Calculate: -51 / (-71 + (-996)) / 3", "solution_steps": ["Add: -71 + (-996) = -1067", "Divide: -51 / (-1067) = 51/1067", "Divide: (51/1067) / 3 = 17/1067"], "final_answer": "17/1067", "answer_type": "rational", "kind": "expression", "math_text": "-51 / (-71 + (-996)) / 3", "variable": null, "family": "expression_3op", "shape": "(/ (/ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": -71, \"c\": -996, \"d\": 3}", "seed": "7951872414673214015", "semantic_fingerprint": "sha256:ce2ba969403f8cc05e535e37814aece086b63efa779099485a36d7cbb2625f8e", "generator_version": "3.0"}
{"id": "v3_test_id_00000811", "prompt": "Evaluate: 840 / (-800)", "solution_steps": ["Divide: 840 / (-800) = -21/20"], "final_answer": "-21/20", "answer_type": "rational", "kind": "expression", "math_text": "840 / (-800)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 840, \"b\": -800}", "seed": "18367856340955166888", "semantic_fingerprint": "sha256:f5e56469378e97b01b123d9b0f691fe5ffadc5de4a3b761118d723d4bfeacea6", "generator_version": "3.0"}
{"id": "v3_test_id_00000812", "prompt": "What value of x satisfies 5(x - 19) = 9(x - 84)?", "solution_steps": ["Expand: 5x - 95 = 9(x - 84)", "Expand: 5x - 95 = 9x - 756", "Subtract 9x from both sides: -4x - 95 = -756", "Add 95 to both sides: -4x = -661", "Divide both sides by -4: x = 661/4"], "final_answer": "661/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 19) = 9(x - 84)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 19, \"c\": 9, \"d\": 84}", "seed": "5373284962883354405", "semantic_fingerprint": "sha256:942ae88e473b6286dbc1b9e1ec0559e9baea454d365ff756e784f9a3cf9cc4c0", "generator_version": "3.0"}
{"id": "v3_test_id_00000813", "prompt": "Calculate: (415 + (-5)) * ((-83 + (-9)) * (-69 / (-3)))", "solution_steps": ["Add: 415 + (-5) = 410", "Add: -83 + (-9) = -92", "Divide: -69 / (-3) = 23", "Multiply: -92 * 23 = -2116", "Multiply: 410 * (-2116) = -867560"], "final_answer": "-867560", "answer_type": "integer", "kind": "expression", "math_text": "(415 + (-5)) * ((-83 + (-9)) * (-69 / (-3)))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (* (+ n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 415, \"b\": -5, \"c\": -83, \"d\": -9, \"e\": -69, \"f\": -3}", "seed": "9481592203663079248", "semantic_fingerprint": "sha256:00bf347f4130e2bd4b43dd47b382f564037b75f8492444548ec598fbc792d067", "generator_version": "3.0"}
{"id": "v3_test_id_00000814", "prompt": "What is (473 + 48) * ((-7 - 25) / 2)?", "solution_steps": ["Add: 473 + 48 = 521", "Subtract: -7 - 25 = -32", "Divide: -32 / 2 = -16", "Multiply: 521 * (-16) = -8336"], "final_answer": "-8336", "answer_type": "integer", "kind": "expression", "math_text": "(473 + 48) * ((-7 - 25) / 2)", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 473, \"b\": 48, \"c\": -7, \"d\": 25, \"e\": 2}", "seed": "14279691042016511155", "semantic_fingerprint": "sha256:21c7e3e21364db077e7b6ba77a9b8dc5dd96b38f06f70b7643a7448fb90cec48", "generator_version": "3.0"}
{"id": "v3_test_id_00000815", "prompt": "What is 259 - (6 - (-60)) - (-8) / (-4 / (-80))?", "solution_steps": ["Subtract: 6 - (-60) = 66", "Subtract: 259 - 66 = 193", "Divide: -4 / (-80) = 1/20", "Divide: -8 / (1/20) = -160", "Subtract: 193 - (-160) = 353"], "final_answer": "353", "answer_type": "integer", "kind": "expression", "math_text": "259 - (6 - (-60)) - (-8) / (-4 / (-80))", "variable": null, "family": "expression_5op", "shape": "(- (- n (- n n)) (/ n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 259, \"b\": 6, \"c\": -60, \"d\": -8, \"e\": -4, \"f\": -80}", "seed": "3362086069287654996", "semantic_fingerprint": "sha256:84a063fe44bbf5fba50581954eb68ba5d5e7b04e859c150cf7b0356cc67918ff", "generator_version": "3.0"}
{"id": "v3_test_id_00000816", "prompt": "Solve for x: 9(x + 91) + 56 = 12x + 932", "solution_steps": ["Expand: 9x + 819 + 56 = 12x + 932", "Combine constants: 9x + 875 = 12x + 932", "Subtract 12x from both sides: -3x + 875 = 932", "Subtract 875 from both sides: -3x = 57", "Divide both sides by -3: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 91) + 56 = 12x + 932", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 91, \"c\": 56, \"d\": 12, \"f\": 932, \"x\": -19}", "seed": "6375633840833893899", "semantic_fingerprint": "sha256:21ac324107d28cf5e3b303f430f41f807c9edefac379d35a86836f81a601bc30", "generator_version": "3.0"}
{"id": "v3_test_id_00000817", "prompt": "Solve for x: 8(x - 76) = 12(x + 91)", "solution_steps": ["Expand: 8x - 608 = 12(x + 91)", "Expand: 8x - 608 = 12x + 1092", "Subtract 12x from both sides: -4x - 608 = 1092", "Add 608 to both sides: -4x = 1700", "Divide both sides by -4: x = -425"], "final_answer": "-425", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 76) = 12(x + 91)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 76, \"c\": 12, \"d\": 91}", "seed": "16931487210113698394", "semantic_fingerprint": "sha256:fccf41190bc3b05b9c7f88846585bcc50ba871bc3dc0052d09bf365002a2bafe", "generator_version": "3.0"}
{"id": "v3_test_id_00000818", "prompt": "Compute: -7 / 662 - (-70) + 423", "solution_steps": ["Divide: -7 / 662 = -7/662", "Subtract: -7/662 - (-70) = 46333/662", "Add: 46333/662 + 423 = 326359/662"], "final_answer": "326359/662", "answer_type": "rational", "kind": "expression", "math_text": "-7 / 662 - (-70) + 423", "variable": null, "family": "expression_3op", "shape": "(+ (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 662, \"c\": -70, \"d\": 423}", "seed": "17195530943621557408", "semantic_fingerprint": "sha256:9718c1f68cf5d62fc3c06c29b0a6729494b04f89362cc8059cb5b53d35a0c8a7", "generator_version": "3.0"}
{"id": "v3_test_id_00000819", "prompt": "What is -1 + (32 * 74 + 88)?", "solution_steps": ["Multiply: 32 * 74 = 2368", "Add: 2368 + 88 = 2456", "Add: -1 + 2456 = 2455"], "final_answer": "2455", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (32 * 74 + 88)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 32, \"c\": 74, \"d\": 88}", "seed": "16824873159429356428", "semantic_fingerprint": "sha256:b5a30e0b8b6662280883fdcdaa1c18d2610a5c210935ed1199ba5f6eb8f3ab94", "generator_version": "3.0"}
{"id": "v3_test_id_00000820", "prompt": "Compute: -86 + (-6)", "solution_steps": ["Add: -86 + (-6) = -92"], "final_answer": "-92", "answer_type": "integer", "kind": "expression", "math_text": "-86 + (-6)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": -6}", "seed": "18066281508575238268", "semantic_fingerprint": "sha256:ea0b5672deb6d6b0c5036b7c8ace91333bcaac2512f07ca896d28d48d7dcfb58", "generator_version": "3.0"}
{"id": "v3_test_id_00000821", "prompt": "Solve for x: 2(x + 49) + 656 = 4x + 714", "solution_steps": ["Expand: 2x + 98 + 656 = 4x + 714", "Combine constants: 2x + 754 = 4x + 714", "Subtract 4x from both sides: -2x + 754 = 714", "Subtract 754 from both sides: -2x = -40", "Divide both sides by -2: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 49) + 656 = 4x + 714", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 49, \"c\": 656, \"d\": 4, \"f\": 714, \"x\": 20}", "seed": "12641519866851129301", "semantic_fingerprint": "sha256:0563bf302c89e182220344a81faa1796c8e277ef6b3f907b483be3b7da8fe03d", "generator_version": "3.0"}
{"id": "v3_test_id_00000822", "prompt": "What value of x satisfies 5(x - 1) = 2(x - 44) + 98?", "solution_steps": ["Expand: 5x - 5 = 2(x - 44) + 98", "Expand: 5x - 5 = 2x - 88 + 98", "Combine constants: 5x - 5 = 2x + 10", "Subtract 2x from both sides: 3x - 5 = 10", "Add 5 to both sides: 3x = 15", "Divide both sides by 3: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 1) = 2(x - 44) + 98", "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\": 2, \"d\": 44, \"f\": 98, \"x\": 5}", "seed": "1090849745940970159", "semantic_fingerprint": "sha256:070587f1c9367d596d87c8f24174674ea17ddf7d321e9e23da37f0c304d42ffb", "generator_version": "3.0"}
{"id": "v3_test_id_00000823", "prompt": "What is 782 / 68 - (-2 + (-1) - (-8) + (-56))?", "solution_steps": ["Divide: 782 / 68 = 23/2", "Add: -2 + (-1) = -3", "Subtract: -3 - (-8) = 5", "Add: 5 + (-56) = -51", "Subtract: 23/2 - (-51) = 125/2"], "final_answer": "125/2", "answer_type": "rational", "kind": "expression", "math_text": "782 / 68 - (-2 + (-1) - (-8) + (-56))", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (+ (- (+ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 782, \"b\": 68, \"c\": -2, \"d\": -1, \"e\": -8, \"f\": -56}", "seed": "591408455558212629", "semantic_fingerprint": "sha256:699c2e8c950b5e004aa4a55af7aae9350217af813415421a398993433bda9e0b", "generator_version": "3.0"}
{"id": "v3_test_id_00000824", "prompt": "Evaluate: (-29 + 815) / (-91 * (-46))", "solution_steps": ["Add: -29 + 815 = 786", "Multiply: -91 * (-46) = 4186", "Divide: 786 / 4186 = 393/2093"], "final_answer": "393/2093", "answer_type": "rational", "kind": "expression", "math_text": "(-29 + 815) / (-91 * (-46))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": 815, \"c\": -91, \"d\": -46}", "seed": "8408918121137540683", "semantic_fingerprint": "sha256:87f0f7c914f215d74f7600a82027b8dd7fcebb718a0e21075f78bd975f4ebf4d", "generator_version": "3.0"}
{"id": "v3_test_id_00000825", "prompt": "Compute: (-2 + (-6)) * (10 * 0)", "solution_steps": ["Add: -2 + (-6) = -8", "Multiply: 10 * 0 = 0", "Multiply: -8 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-2 + (-6)) * (10 * 0)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -6, \"c\": 10, \"d\": 0}", "seed": "16474428894039787599", "semantic_fingerprint": "sha256:e22cb49313151c167d6398fa3c9147c7a3228305d48a9fb4b7e051e4073731ef", "generator_version": "3.0"}
{"id": "v3_test_id_00000826", "prompt": "Compute: -5 + (-71) + (-919)", "solution_steps": ["Add: -5 + (-71) = -76", "Add: -76 + (-919) = -995"], "final_answer": "-995", "answer_type": "integer", "kind": "expression", "math_text": "-5 + (-71) + (-919)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -71, \"c\": -919}", "seed": "5531955982765205697", "semantic_fingerprint": "sha256:1b102a805b829fb62ba35b57e803a8db9f3268b8f764f9cac7ae1c84ec222722", "generator_version": "3.0"}
{"id": "v3_test_id_00000827", "prompt": "Compute: 72 * 2 + (-755 + (-57))", "solution_steps": ["Multiply: 72 * 2 = 144", "Add: -755 + (-57) = -812", "Add: 144 + (-812) = -668"], "final_answer": "-668", "answer_type": "integer", "kind": "expression", "math_text": "72 * 2 + (-755 + (-57))", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": 2, \"c\": -755, \"d\": -57}", "seed": "4326367738734092872", "semantic_fingerprint": "sha256:88f297526aaae2add62ba361b20c99503ed134c521fb7027d91481232b72ed0b", "generator_version": "3.0"}
{"id": "v3_test_id_00000828", "prompt": "Compute: -797 * (994 / (-96))", "solution_steps": ["Divide: 994 / (-96) = -497/48", "Multiply: -797 * (-497/48) = 396109/48"], "final_answer": "396109/48", "answer_type": "rational", "kind": "expression", "math_text": "-797 * (994 / (-96))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -797, \"b\": 994, \"c\": -96}", "seed": "15181637405233093472", "semantic_fingerprint": "sha256:bfd2ece73eefc84b0f80b7ee0ca6ddb7a431618db980e904d29fd7bc0cf5613f", "generator_version": "3.0"}
{"id": "v3_test_id_00000829", "prompt": "Evaluate: 70 + (-6)", "solution_steps": ["Add: 70 + (-6) = 64"], "final_answer": "64", "answer_type": "integer", "kind": "expression", "math_text": "70 + (-6)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": -6}", "seed": "8807765313457364603", "semantic_fingerprint": "sha256:21d783f80f3470115c33c245b13a2c18bd12d5276c1a7f546758b9a1c5d1a113", "generator_version": "3.0"}
{"id": "v3_test_id_00000830", "prompt": "What is -4 / (-4 / (-81))?", "solution_steps": ["Divide: -4 / (-81) = 4/81", "Divide: -4 / (4/81) = -81"], "final_answer": "-81", "answer_type": "integer", "kind": "expression", "math_text": "-4 / (-4 / (-81))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -4, \"c\": -81}", "seed": "8231767605496381875", "semantic_fingerprint": "sha256:200838da4a4a19a75f8935898bd8169ab83e6aec8979bb0f0c0df871c2ac9214", "generator_version": "3.0"}
{"id": "v3_test_id_00000831", "prompt": "Calculate: 1 - 55 * 7 - 626 / 4", "solution_steps": ["Multiply: 55 * 7 = 385", "Subtract: 1 - 385 = -384", "Divide: 626 / 4 = 313/2", "Subtract: -384 - 313/2 = -1081/2"], "final_answer": "-1081/2", "answer_type": "rational", "kind": "expression", "math_text": "1 - 55 * 7 - 626 / 4", "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\": 626, \"e\": 4}", "seed": "15757860121905998720", "semantic_fingerprint": "sha256:8b3d6eac6f77d4aec45a41ad27d5c5627eb2b0719e85a764ed284e1b2917af32", "generator_version": "3.0"}
{"id": "v3_test_id_00000832", "prompt": "Find x: -10x - 91 = 10(x + 44)", "solution_steps": ["Expand: -10x - 91 = 10x + 440", "Subtract 10x from both sides: -20x - 91 = 440", "Add 91 to both sides: -20x = 531", "Divide both sides by -20: x = -531/20"], "final_answer": "-531/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10x - 91 = 10(x + 44)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 91, \"c\": 10, \"d\": 44}", "seed": "10177911816796254238", "semantic_fingerprint": "sha256:00459049a742ecfd9e66bcb0ea8ef9fa83fdae5f79bb892a900fe6cf4b3fc4b6", "generator_version": "3.0"}
{"id": "v3_test_id_00000833", "prompt": "Calculate: -155 + (-7)", "solution_steps": ["Add: -155 + (-7) = -162"], "final_answer": "-162", "answer_type": "integer", "kind": "expression", "math_text": "-155 + (-7)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -155, \"b\": -7}", "seed": "10687533251639983326", "semantic_fingerprint": "sha256:bf47892ca1bd248599fd813a53ba8bee4d3b90da8fd7a639ff3d43fc7a580b79", "generator_version": "3.0"}
{"id": "v3_test_id_00000834", "prompt": "Solve for x: -2(x + 22) + 66 = -8(x - 40) - 77", "solution_steps": ["Expand: -2x - 44 + 66 = -8(x - 40) - 77", "Expand: -2x - 44 + 66 = -8x + 320 - 77", "Combine constants: -2x + 22 = -8x + 320 - 77", "Combine constants: -2x + 22 = -8x + 243", "Add 8x to both sides: 6x + 22 = 243", "Subtract 22 from both sides: 6x = 221", "Divide both sides by 6: x = 221/6"], "final_answer": "221/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x + 22) + 66 = -8(x - 40) - 77", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 22, \"c\": 66, \"d\": -8, \"e\": 40, \"f\": 77}", "seed": "6994375727634191771", "semantic_fingerprint": "sha256:58ca37757915de2f58fb17e75e8df587b154f3f3889ee2941edaf346f566a644", "generator_version": "3.0"}
{"id": "v3_test_id_00000835", "prompt": "What value of x satisfies 9(x + 67) = -10(x - 126) - 353?", "solution_steps": ["Expand: 9x + 603 = -10(x - 126) - 353", "Expand: 9x + 603 = -10x + 1260 - 353", "Combine constants: 9x + 603 = -10x + 907", "Add 10x to both sides: 19x + 603 = 907", "Subtract 603 from both sides: 19x = 304", "Divide both sides by 19: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 67) = -10(x - 126) - 353", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 67, \"c\": -10, \"d\": 126, \"f\": -353, \"x\": 16}", "seed": "10445399986777096014", "semantic_fingerprint": "sha256:221b8203e17afb8496ffed99fc4da75a62aae559599b04da440ce3fba464ec63", "generator_version": "3.0"}
{"id": "v3_test_id_00000836", "prompt": "Calculate: 5 * 0", "solution_steps": ["Multiply: 5 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "5 * 0", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 0}", "seed": "12958637905670870628", "semantic_fingerprint": "sha256:9e1c29fe87e65d86b41340421dce78ad9cdf5cd557e8141ab7985d6229b7eb56", "generator_version": "3.0"}
{"id": "v3_test_id_00000837", "prompt": "Calculate: (-736 / (-255) + (-149) + 5) * (-7)", "solution_steps": ["Divide: -736 / (-255) = 736/255", "Add: 736/255 + (-149) = -37259/255", "Add: -37259/255 + 5 = -35984/255", "Multiply: (-35984/255) * (-7) = 251888/255"], "final_answer": "251888/255", "answer_type": "rational", "kind": "expression", "math_text": "(-736 / (-255) + (-149) + 5) * (-7)", "variable": null, "family": "expression_4op", "shape": "(* (+ (+ (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -736, \"b\": -255, \"c\": -149, \"d\": 5, \"e\": -7}", "seed": "14503460581137231942", "semantic_fingerprint": "sha256:cc8497240b349e8dc7af3cd01441f4a480356ffda6deb58d524327641c0b28ac", "generator_version": "3.0"}
{"id": "v3_test_id_00000838", "prompt": "Evaluate: -165 - (-668)", "solution_steps": ["Subtract: -165 - (-668) = 503"], "final_answer": "503", "answer_type": "integer", "kind": "expression", "math_text": "-165 - (-668)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -165, \"b\": -668}", "seed": "16131850162989999249", "semantic_fingerprint": "sha256:b587ea481937c80451210fd22607425111b1d83933b4baa655cfcd4e9e30b20d", "generator_version": "3.0"}
{"id": "v3_test_id_00000839", "prompt": "Find x: -11(x + 7) = 3(x + 6) - 1", "solution_steps": ["Expand: -11x - 77 = 3(x + 6) - 1", "Expand: -11x - 77 = 3x + 18 - 1", "Combine constants: -11x - 77 = 3x + 17", "Subtract 3x from both sides: -14x - 77 = 17", "Add 77 to both sides: -14x = 94", "Divide both sides by -14: x = -47/7"], "final_answer": "-47/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x + 7) = 3(x + 6) - 1", "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\": 3, \"d\": 6, \"e\": 1}", "seed": "7927231991562515631", "semantic_fingerprint": "sha256:2413e7a40ebb68124b1f474c40e762651ef4f9a4402c104f84e747f638583760", "generator_version": "3.0"}
{"id": "v3_test_id_00000840", "prompt": "Evaluate: 516 * (-11 * 30)", "solution_steps": ["Multiply: -11 * 30 = -330", "Multiply: 516 * (-330) = -170280"], "final_answer": "-170280", "answer_type": "integer", "kind": "expression", "math_text": "516 * (-11 * 30)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 516, \"b\": -11, \"c\": 30}", "seed": "7056422298880894896", "semantic_fingerprint": "sha256:9dcb23e8ffece9f8990f719e53bd64b299e6a1d2eb5037154bd9f227e8f88648", "generator_version": "3.0"}
{"id": "v3_test_id_00000841", "prompt": "Solve the equation -10(x + 48) = x for x.", "solution_steps": ["Expand: -10x - 480 = x", "Subtract x from both sides: -11x - 480 = 0", "Add 480 to both sides: -11x = 480", "Divide both sides by -11: x = -480/11"], "final_answer": "-480/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x + 48) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 48}", "seed": "8739725917778641370", "semantic_fingerprint": "sha256:8d0a79f020edba3dd40699343a1016bf1f7deb06b79e69274813526f61390015", "generator_version": "3.0"}
{"id": "v3_test_id_00000842", "prompt": "What is -7 - (-64 + (-762))?", "solution_steps": ["Add: -64 + (-762) = -826", "Subtract: -7 - (-826) = 819"], "final_answer": "819", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (-64 + (-762))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -64, \"c\": -762}", "seed": "11701762182363932444", "semantic_fingerprint": "sha256:960bb37593c29cf391fd5c7513df421165b545f58f5427dd069650325062979c", "generator_version": "3.0"}
{"id": "v3_test_id_00000843", "prompt": "Solve for x: x + 874 = 884", "solution_steps": ["Subtract 874 from both sides: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 874 = 884", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 874, \"c\": 884, \"x\": 10}", "seed": "16772785579197148033", "semantic_fingerprint": "sha256:7a39ec9b2646cd41fc25b77040631ceddacd36de148350ef14e81f184b9bd109", "generator_version": "3.0"}
{"id": "v3_test_id_00000844", "prompt": "Find x: 7(x - 47) = x - 293", "solution_steps": ["Expand: 7x - 329 = x - 293", "Subtract x from both sides: 6x - 329 = -293", "Add 329 to both sides: 6x = 36", "Divide both sides by 6: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 47) = x - 293", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 47, \"d\": -293, \"x\": 6}", "seed": "7004818067951117331", "semantic_fingerprint": "sha256:b75288fa73e3d2a9c73489b99b22ed2e81959c160645091cfa288a1bd1d6f2e5", "generator_version": "3.0"}
{"id": "v3_test_id_00000845", "prompt": "What is 83 * 37 * (-96)?", "solution_steps": ["Multiply: 83 * 37 = 3071", "Multiply: 3071 * (-96) = -294816"], "final_answer": "-294816", "answer_type": "integer", "kind": "expression", "math_text": "83 * 37 * (-96)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 37, \"c\": -96}", "seed": "16952031042338865421", "semantic_fingerprint": "sha256:3fdb09081b790f799a57945698b769b371912934a347b704f7d17befc65d8f9e", "generator_version": "3.0"}
{"id": "v3_test_id_00000846", "prompt": "What is 6 + (286 - (340 - (74 + 31)))?", "solution_steps": ["Add: 74 + 31 = 105", "Subtract: 340 - 105 = 235", "Subtract: 286 - 235 = 51", "Add: 6 + 51 = 57"], "final_answer": "57", "answer_type": "integer", "kind": "expression", "math_text": "6 + (286 - (340 - (74 + 31)))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (- n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 286, \"c\": 340, \"d\": 74, \"e\": 31}", "seed": "14899240490215758384", "semantic_fingerprint": "sha256:90a9a5cf9fb98a2ee4d5c6a52dbed559e4a85572735226b5c8d2fab0ab6e6dd4", "generator_version": "3.0"}
{"id": "v3_test_id_00000847", "prompt": "Calculate: -9 - (-34 - (-5) + (-7 + 6 / 1))", "solution_steps": ["Subtract: -34 - (-5) = -29", "Divide: 6 / 1 = 6", "Add: -7 + 6 = -1", "Add: -29 + (-1) = -30", "Subtract: -9 - (-30) = 21"], "final_answer": "21", "answer_type": "integer", "kind": "expression", "math_text": "-9 - (-34 - (-5) + (-7 + 6 / 1))", "variable": null, "family": "expression_5op", "shape": "(- n (+ (- n n) (+ n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -34, \"c\": -5, \"d\": -7, \"e\": 6, \"f\": 1}", "seed": "7367935967701173880", "semantic_fingerprint": "sha256:d21c26a3fd78286d8d7e3db40ce6cb12f1b64ee65892b3f19d0b59353ae260c3", "generator_version": "3.0"}
{"id": "v3_test_id_00000848", "prompt": "Compute: -7 / (-65 + (-61) * 24)", "solution_steps": ["Multiply: -61 * 24 = -1464", "Add: -65 + (-1464) = -1529", "Divide: -7 / (-1529) = 7/1529"], "final_answer": "7/1529", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (-65 + (-61) * 24)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -65, \"c\": -61, \"d\": 24}", "seed": "6719687103206113534", "semantic_fingerprint": "sha256:c7c75f57741c4b06ed8dfbffaed37ed0879cd78ed28c41322e9cb86ab6ade49d", "generator_version": "3.0"}
{"id": "v3_test_id_00000849", "prompt": "Solve for x: x + 351 = 7x + 75", "solution_steps": ["Subtract 7x from both sides: -6x + 351 = 75", "Subtract 351 from both sides: -6x = -276", "Divide both sides by -6: x = 46"], "final_answer": "46", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 351 = 7x + 75", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 351, \"b\": 7, \"c\": 75}", "seed": "8942006422697682459", "semantic_fingerprint": "sha256:87d177ee02906a28cc600c1102ab2730154c96e8e2cb861235c58c9d004b67ec", "generator_version": "3.0"}
{"id": "v3_test_id_00000850", "prompt": "Compute: 24 + (-9 - 61)", "solution_steps": ["Subtract: -9 - 61 = -70", "Add: 24 + (-70) = -46"], "final_answer": "-46", "answer_type": "integer", "kind": "expression", "math_text": "24 + (-9 - 61)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": -9, \"c\": 61}", "seed": "3796645380620803071", "semantic_fingerprint": "sha256:7f751c19c2056efb3263fc811042e9044198660bd1d2ca36d9e8c9f68e2d69df", "generator_version": "3.0"}
{"id": "v3_test_id_00000851", "prompt": "What is -79 - 49 / (-198 - 118)?", "solution_steps": ["Subtract: -198 - 118 = -316", "Divide: 49 / (-316) = -49/316", "Subtract: -79 - (-49/316) = -24915/316"], "final_answer": "-24915/316", "answer_type": "rational", "kind": "expression", "math_text": "-79 - 49 / (-198 - 118)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": 49, \"c\": -198, \"d\": 118}", "seed": "15496251329397396423", "semantic_fingerprint": "sha256:00a3e8f1ea405e3f8944f7bf81ffb8ce89c5ebd337491baca02fc14cfdfdc356", "generator_version": "3.0"}
{"id": "v3_test_id_00000852", "prompt": "Calculate: 2 + 91", "solution_steps": ["Add: 2 + 91 = 93"], "final_answer": "93", "answer_type": "integer", "kind": "expression", "math_text": "2 + 91", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 91}", "seed": "10531043936871552447", "semantic_fingerprint": "sha256:0c4e81f66aa8f0f9d497d0b5e78df78f716e584a5f8f43cb661c9813fc82043d", "generator_version": "3.0"}
{"id": "v3_test_id_00000853", "prompt": "Find x: 2x - 335 = -9(x + 9)", "solution_steps": ["Expand: 2x - 335 = -9x - 81", "Add 9x to both sides: 11x - 335 = -81", "Add 335 to both sides: 11x = 254", "Divide both sides by 11: x = 254/11"], "final_answer": "254/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x - 335 = -9(x + 9)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 335, \"c\": -9, \"d\": 9}", "seed": "14375578284913644028", "semantic_fingerprint": "sha256:2c3d51caca92ae8d2c8af9de59a645839c4cebbb57b666f4848e03383da67dcf", "generator_version": "3.0"}
{"id": "v3_test_id_00000854", "prompt": "What is 498 - (89 + 685) + (-12) / 5?", "solution_steps": ["Add: 89 + 685 = 774", "Subtract: 498 - 774 = -276", "Divide: -12 / 5 = -12/5", "Add: -276 + (-12/5) = -1392/5"], "final_answer": "-1392/5", "answer_type": "rational", "kind": "expression", "math_text": "498 - (89 + 685) + (-12) / 5", "variable": null, "family": "expression_4op", "shape": "(+ (- n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 498, \"b\": 89, \"c\": 685, \"d\": -12, \"e\": 5}", "seed": "1334671317327574729", "semantic_fingerprint": "sha256:bb43b3546f467b92ac73d636b5612bf38f522c9b48d37f09d119f515a0602bac", "generator_version": "3.0"}
{"id": "v3_test_id_00000855", "prompt": "What is 46 / 529?", "solution_steps": ["Divide: 46 / 529 = 2/23"], "final_answer": "2/23", "answer_type": "rational", "kind": "expression", "math_text": "46 / 529", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": 529}", "seed": "16524832778413588338", "semantic_fingerprint": "sha256:6ef0fca0a3068060c49244581bf350458cd7174b9669a5dcc5cfae79e2c1502e", "generator_version": "3.0"}
{"id": "v3_test_id_00000856", "prompt": "Find x: 6(x + 6) + 88 = -3x + 124", "solution_steps": ["Expand: 6x + 36 + 88 = -3x + 124", "Combine constants: 6x + 124 = -3x + 124", "Add 3x to both sides: 9x + 124 = 124", "Subtract 124 from both sides: 9x = 0", "Divide both sides by 9: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 6) + 88 = -3x + 124", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"c\": 88, \"d\": -3, \"f\": 124, \"x\": 0}", "seed": "10692654477875613688", "semantic_fingerprint": "sha256:666d7525f81fc5e14d8596ef7d030ba3462380150b1e5983480256d8b1b20114", "generator_version": "3.0"}
{"id": "v3_test_id_00000857", "prompt": "Compute: -91 + (6 + (-6)) - 7 * (19 - (-6))", "solution_steps": ["Add: 6 + (-6) = 0", "Add: -91 + 0 = -91", "Subtract: 19 - (-6) = 25", "Multiply: 7 * 25 = 175", "Subtract: -91 - 175 = -266"], "final_answer": "-266", "answer_type": "integer", "kind": "expression", "math_text": "-91 + (6 + (-6)) - 7 * (19 - (-6))", "variable": null, "family": "expression_5op", "shape": "(- (+ n (+ n n)) (* n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": 6, \"c\": -6, \"d\": 7, \"e\": 19, \"f\": -6}", "seed": "16216587208067552137", "semantic_fingerprint": "sha256:14fac8abc8070056e3f2cc43412f43676379fa25074b5d21ac999f93faf34aa3", "generator_version": "3.0"}
{"id": "v3_test_id_00000858", "prompt": "Compute: -78 - (-541 - 3)", "solution_steps": ["Subtract: -541 - 3 = -544", "Subtract: -78 - (-544) = 466"], "final_answer": "466", "answer_type": "integer", "kind": "expression", "math_text": "-78 - (-541 - 3)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": -541, \"c\": 3}", "seed": "14401070684431924659", "semantic_fingerprint": "sha256:8a8cc6306f34d79c4265c41bd7437893c2ec32aea354077c4354b6a36a760d29", "generator_version": "3.0"}
{"id": "v3_test_id_00000859", "prompt": "Calculate: (92 + 282) * (-2)", "solution_steps": ["Add: 92 + 282 = 374", "Multiply: 374 * (-2) = -748"], "final_answer": "-748", "answer_type": "integer", "kind": "expression", "math_text": "(92 + 282) * (-2)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": 282, \"c\": -2}", "seed": "3403924668421179547", "semantic_fingerprint": "sha256:c796a7e6aef60e4519f5a5389dc002f5efe08e6e9b61a7ff72ed58df43f7ff77", "generator_version": "3.0"}
{"id": "v3_test_id_00000860", "prompt": "Compute: -28 / 76", "solution_steps": ["Divide: -28 / 76 = -7/19"], "final_answer": "-7/19", "answer_type": "rational", "kind": "expression", "math_text": "-28 / 76", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": 76}", "seed": "16180829670907085391", "semantic_fingerprint": "sha256:467e4d222845d981f29e3876f47966da20976b99595179936e0f8195ed05bf3c", "generator_version": "3.0"}
{"id": "v3_test_id_00000861", "prompt": "What is -1 + (-7 - 7 * 9)?", "solution_steps": ["Multiply: 7 * 9 = 63", "Subtract: -7 - 63 = -70", "Add: -1 + (-70) = -71"], "final_answer": "-71", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (-7 - 7 * 9)", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -7, \"c\": 7, \"d\": 9}", "seed": "13347314702411774850", "semantic_fingerprint": "sha256:aacfb4c654f1a7013c721579e1d276632e895fbd7073b7a635c82b7711b09a4c", "generator_version": "3.0"}
{"id": "v3_test_id_00000862", "prompt": "Compute: (758 - 900) * (-643 / 69 - (-7))", "solution_steps": ["Subtract: 758 - 900 = -142", "Divide: -643 / 69 = -643/69", "Subtract: -643/69 - (-7) = -160/69", "Multiply: -142 * (-160/69) = 22720/69"], "final_answer": "22720/69", "answer_type": "rational", "kind": "expression", "math_text": "(758 - 900) * (-643 / 69 - (-7))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 758, \"b\": 900, \"c\": -643, \"d\": 69, \"e\": -7}", "seed": "2167968999450946345", "semantic_fingerprint": "sha256:1cd7c2aa1a79d3416bc27eb69b0531cbf1898b821f7b7a045ab9ce1f2a832850", "generator_version": "3.0"}
{"id": "v3_test_id_00000863", "prompt": "Find x: x - 4 = -12x - 30", "solution_steps": ["Add 12x to both sides: 13x - 4 = -30", "Add 4 to both sides: 13x = -26", "Divide both sides by 13: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 4 = -12x - 30", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -12, \"d\": -30, \"x\": -2}", "seed": "8785960005064253895", "semantic_fingerprint": "sha256:5e2237585671602f1cab43bcb99890bf4c0027c3a380928a50475ad9682c0584", "generator_version": "3.0"}
{"id": "v3_test_id_00000864", "prompt": "Calculate: (-18 - (-6)) / (-8) - 626", "solution_steps": ["Subtract: -18 - (-6) = -12", "Divide: -12 / (-8) = 3/2", "Subtract: 3/2 - 626 = -1249/2"], "final_answer": "-1249/2", "answer_type": "rational", "kind": "expression", "math_text": "(-18 - (-6)) / (-8) - 626", "variable": null, "family": "expression_3op", "shape": "(- (/ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": -6, \"c\": -8, \"d\": 626}", "seed": "16689655645776556641", "semantic_fingerprint": "sha256:82a5d13604a1c9512980ec03e614acb4e767502ce63860ae9f1e31957b3dc5b5", "generator_version": "3.0"}
{"id": "v3_test_id_00000865", "prompt": "What is 255 + 658 * (-84) - (-72)?", "solution_steps": ["Multiply: 658 * (-84) = -55272", "Add: 255 + (-55272) = -55017", "Subtract: -55017 - (-72) = -54945"], "final_answer": "-54945", "answer_type": "integer", "kind": "expression", "math_text": "255 + 658 * (-84) - (-72)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 255, \"b\": 658, \"c\": -84, \"d\": -72}", "seed": "13123352412299437728", "semantic_fingerprint": "sha256:02d2fc4dd7a7cd8507f2fbf405b20191d8cbbf904ef642abdd9ce4c88680c069", "generator_version": "3.0"}
{"id": "v3_test_id_00000866", "prompt": "Find x: x - 900 = 10(x - 90)", "solution_steps": ["Expand: x - 900 = 10x - 900", "Subtract 10x from both sides: -9x - 900 = -900", "Add 900 to both sides: -9x = 0", "Divide both sides by -9: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 900 = 10(x - 90)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 90, \"d\": -900, \"x\": 0}", "seed": "12795327896292635933", "semantic_fingerprint": "sha256:d7c3a4ddeed89881945e649b49bbc74d48bc0214897c027d91f453367f8598fb", "generator_version": "3.0"}
{"id": "v3_test_id_00000867", "prompt": "Compute: 756 + 1 + (-4)", "solution_steps": ["Add: 756 + 1 = 757", "Add: 757 + (-4) = 753"], "final_answer": "753", "answer_type": "integer", "kind": "expression", "math_text": "756 + 1 + (-4)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 756, \"b\": 1, \"c\": -4}", "seed": "13973081712861023388", "semantic_fingerprint": "sha256:a7ac57de850eb08330fc502c5461a89b2340c5b576e2ba91504b5bb3e89bc424", "generator_version": "3.0"}
{"id": "v3_test_id_00000868", "prompt": "Find x: 3(x + 5) + 330 = x - 3", "solution_steps": ["Expand: 3x + 15 + 330 = x - 3", "Combine constants: 3x + 345 = x - 3", "Subtract x from both sides: 2x + 345 = -3", "Subtract 345 from both sides: 2x = -348", "Divide both sides by 2: x = -174"], "final_answer": "-174", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 5) + 330 = x - 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 5, \"c\": 330, \"d\": 3}", "seed": "2821264984652334449", "semantic_fingerprint": "sha256:1497a3d4141c51054c435685892390520d6c91b064386ae94969316b9547f54c", "generator_version": "3.0"}
{"id": "v3_test_id_00000869", "prompt": "Calculate: 6 + (-72) + (-8 - 217)", "solution_steps": ["Add: 6 + (-72) = -66", "Subtract: -8 - 217 = -225", "Add: -66 + (-225) = -291"], "final_answer": "-291", "answer_type": "integer", "kind": "expression", "math_text": "6 + (-72) + (-8 - 217)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -72, \"c\": -8, \"d\": 217}", "seed": "6227666933603639505", "semantic_fingerprint": "sha256:31a470eb9015345993eb49912a4161762ef35854d2813e483f504c002e3e9ffb", "generator_version": "3.0"}
{"id": "v3_test_id_00000870", "prompt": "Compute: (0 + (-20) - (-33)) / (-7 - (-88))", "solution_steps": ["Add: 0 + (-20) = -20", "Subtract: -20 - (-33) = 13", "Subtract: -7 - (-88) = 81", "Divide: 13 / 81 = 13/81"], "final_answer": "13/81", "answer_type": "rational", "kind": "expression", "math_text": "(0 + (-20) - (-33)) / (-7 - (-88))", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -20, \"c\": -33, \"d\": -7, \"e\": -88}", "seed": "14121564655968205397", "semantic_fingerprint": "sha256:7fd87fb7029782fbba6a8f267e3bee2e5efd3c0aff06d6c73e3dff9b46eadddf", "generator_version": "3.0"}
{"id": "v3_test_id_00000871", "prompt": "What value of x satisfies -2(x - 62) = 9(x + 66) + 4?", "solution_steps": ["Expand: -2x + 124 = 9(x + 66) + 4", "Expand: -2x + 124 = 9x + 594 + 4", "Combine constants: -2x + 124 = 9x + 598", "Subtract 9x from both sides: -11x + 124 = 598", "Subtract 124 from both sides: -11x = 474", "Divide both sides by -11: x = -474/11"], "final_answer": "-474/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x - 62) = 9(x + 66) + 4", "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\": 9, \"d\": 66, \"e\": 4}", "seed": "15108861799779677392", "semantic_fingerprint": "sha256:93650c4ccff6ff52bcf73d2f4ed7f6212b102a446154d78d5df2ded767c56a47", "generator_version": "3.0"}
{"id": "v3_test_id_00000872", "prompt": "Calculate: (-2 - 78) * (-6) / (-72)", "solution_steps": ["Subtract: -2 - 78 = -80", "Multiply: -80 * (-6) = 480", "Divide: 480 / (-72) = -20/3"], "final_answer": "-20/3", "answer_type": "rational", "kind": "expression", "math_text": "(-2 - 78) * (-6) / (-72)", "variable": null, "family": "expression_3op", "shape": "(/ (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 78, \"c\": -6, \"d\": -72}", "seed": "1447838123513612320", "semantic_fingerprint": "sha256:268edac85fe5a338f7268a13edd2db32d7badecd391788fae61ad25f2312f32f", "generator_version": "3.0"}
{"id": "v3_test_id_00000873", "prompt": "Compute: (55 - (-11) * (-51)) / (-147) + 544", "solution_steps": ["Multiply: -11 * (-51) = 561", "Subtract: 55 - 561 = -506", "Divide: -506 / (-147) = 506/147", "Add: 506/147 + 544 = 80474/147"], "final_answer": "80474/147", "answer_type": "rational", "kind": "expression", "math_text": "(55 - (-11) * (-51)) / (-147) + 544", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": -11, \"c\": -51, \"d\": -147, \"e\": 544}", "seed": "9822192133279400340", "semantic_fingerprint": "sha256:d8774d9f3b70ff10e7a7b8e4a34d1e3e1d172cec0f4b4360715ab5942f7f84d8", "generator_version": "3.0"}
{"id": "v3_test_id_00000874", "prompt": "Evaluate: 263 / 8 * ((58 - 43 + (-5)) * 69)", "solution_steps": ["Divide: 263 / 8 = 263/8", "Subtract: 58 - 43 = 15", "Add: 15 + (-5) = 10", "Multiply: 10 * 69 = 690", "Multiply: (263/8) * 690 = 90735/4"], "final_answer": "90735/4", "answer_type": "rational", "kind": "expression", "math_text": "263 / 8 * ((58 - 43 + (-5)) * 69)", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (* (+ (- n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 263, \"b\": 8, \"c\": 58, \"d\": 43, \"e\": -5, \"f\": 69}", "seed": "12325721272999777970", "semantic_fingerprint": "sha256:0afd1b42d7e1d8f7e84f98d97792e202856a5f98f1592b28acd5c68d9250a295", "generator_version": "3.0"}
{"id": "v3_test_id_00000875", "prompt": "Calculate: (-69 + (-5)) * (-913) + (-87) / (-4)", "solution_steps": ["Add: -69 + (-5) = -74", "Multiply: -74 * (-913) = 67562", "Divide: -87 / (-4) = 87/4", "Add: 67562 + 87/4 = 270335/4"], "final_answer": "270335/4", "answer_type": "rational", "kind": "expression", "math_text": "(-69 + (-5)) * (-913) + (-87) / (-4)", "variable": null, "family": "expression_4op", "shape": "(+ (* (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": -5, \"c\": -913, \"d\": -87, \"e\": -4}", "seed": "5313596727724024944", "semantic_fingerprint": "sha256:59e4eb37e5edcc4689df928fa9cc60acbb571935e2338f484dc1e6d2bb5bf438", "generator_version": "3.0"}
{"id": "v3_test_id_00000876", "prompt": "Calculate: 1 * 90", "solution_steps": ["Multiply: 1 * 90 = 90"], "final_answer": "90", "answer_type": "integer", "kind": "expression", "math_text": "1 * 90", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 90}", "seed": "9320415519476689639", "semantic_fingerprint": "sha256:bbef57f15163e9bee09800e85540c0b2246cf70981d376146eae769806cfe5b0", "generator_version": "3.0"}
{"id": "v3_test_id_00000877", "prompt": "What is 2 + (44 - (-97) / (-7) / (-52))?", "solution_steps": ["Divide: -97 / (-7) = 97/7", "Divide: (97/7) / (-52) = -97/364", "Subtract: 44 - (-97/364) = 16113/364", "Add: 2 + 16113/364 = 16841/364"], "final_answer": "16841/364", "answer_type": "rational", "kind": "expression", "math_text": "2 + (44 - (-97) / (-7) / (-52))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (/ (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 44, \"c\": -97, \"d\": -7, \"e\": -52}", "seed": "15024821419377910104", "semantic_fingerprint": "sha256:901968cba07331a1d4bfc5bd41e4810c3c78d6a40babe44aedefdd34f9e425de", "generator_version": "3.0"}
{"id": "v3_test_id_00000878", "prompt": "Find x: 7(x + 790) + 405 = -2x", "solution_steps": ["Expand: 7x + 5530 + 405 = -2x", "Combine constants: 7x + 5935 = -2x", "Add 2x to both sides: 9x + 5935 = 0", "Subtract 5935 from both sides: 9x = -5935", "Divide both sides by 9: x = -5935/9"], "final_answer": "-5935/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 790) + 405 = -2x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 790, \"c\": 405, \"d\": -2}", "seed": "13569671947793412785", "semantic_fingerprint": "sha256:a5a1ac08314599bddfd03392df7725c54e38654ab6b09de3bc2a24fb61311763", "generator_version": "3.0"}
{"id": "v3_test_id_00000879", "prompt": "What is 0 - 66 + (-60) - (-471) - (-6)?", "solution_steps": ["Subtract: 0 - 66 = -66", "Add: -66 + (-60) = -126", "Subtract: -126 - (-471) = 345", "Subtract: 345 - (-6) = 351"], "final_answer": "351", "answer_type": "integer", "kind": "expression", "math_text": "0 - 66 + (-60) - (-471) - (-6)", "variable": null, "family": "expression_4op", "shape": "(- (- (+ (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 66, \"c\": -60, \"d\": -471, \"e\": -6}", "seed": "3021878549888494139", "semantic_fingerprint": "sha256:fcd4f59c1fb1b3f72b018b70f5189b4289c87c377a5cf2d41bcde4ae8b336bb9", "generator_version": "3.0"}
{"id": "v3_test_id_00000880", "prompt": "Solve for x: 11x = -8(x - 30)", "solution_steps": ["Expand: 11x = -8x + 240", "Add 8x to both sides: 19x = 240", "Divide both sides by 19: x = 240/19"], "final_answer": "240/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x = -8(x - 30)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -8, \"c\": 30}", "seed": "18093462569749142683", "semantic_fingerprint": "sha256:4e05ef417ffed23e252fd47f1a25a1770d2661658b54163a53a97b593c6965c0", "generator_version": "3.0"}
{"id": "v3_test_id_00000881", "prompt": "Solve for x: 12x + 43 = 10x + 39", "solution_steps": ["Subtract 10x from both sides: 2x + 43 = 39", "Subtract 43 from both sides: 2x = -4", "Divide both sides by 2: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 43 = 10x + 39", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 43, \"c\": 10, \"e\": 39, \"x\": -2}", "seed": "13495530532967192256", "semantic_fingerprint": "sha256:ee4e21aa4ffa917e92e0fccccdc18ff6473747a23369ff9e4e1bf8539af84a18", "generator_version": "3.0"}
{"id": "v3_test_id_00000882", "prompt": "What is 48 + (85 - (-47))?", "solution_steps": ["Subtract: 85 - (-47) = 132", "Add: 48 + 132 = 180"], "final_answer": "180", "answer_type": "integer", "kind": "expression", "math_text": "48 + (85 - (-47))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": 85, \"c\": -47}", "seed": "5041639311599437410", "semantic_fingerprint": "sha256:ee7f5e696b3b72f8890253bb0f821dd9b815a1f18b1c755f434e47b6951bf680", "generator_version": "3.0"}
{"id": "v3_test_id_00000883", "prompt": "What value of x satisfies 10x = 6x?", "solution_steps": ["Subtract 6x from both sides: 4x = 0", "Divide both sides by 4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = 6x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 6}", "seed": "609208130802215635", "semantic_fingerprint": "sha256:cf51b89a1766eea4ff4669cc0f6527fc103edaeeb7a30a777bc4f13d028e8020", "generator_version": "3.0"}
{"id": "v3_test_id_00000884", "prompt": "Compute: -15 + 47 - 45", "solution_steps": ["Add: -15 + 47 = 32", "Subtract: 32 - 45 = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "expression", "math_text": "-15 + 47 - 45", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": 47, \"c\": 45}", "seed": "7680316580908146331", "semantic_fingerprint": "sha256:96965b4b53be8dfde389148d05002711aa2016765510adb709624bfa43bf1d6c", "generator_version": "3.0"}
{"id": "v3_test_id_00000885", "prompt": "Find x: 3x + 320 = -3x + 200", "solution_steps": ["Add 3x to both sides: 6x + 320 = 200", "Subtract 320 from both sides: 6x = -120", "Divide both sides by 6: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x + 320 = -3x + 200", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 320, \"c\": -3, \"e\": 200, \"x\": -20}", "seed": "2031802308974940977", "semantic_fingerprint": "sha256:9c0843277a72be8739cd46473e3ff33494d87a7a0d5165b69b00b1fa55f3ab22", "generator_version": "3.0"}
{"id": "v3_test_id_00000886", "prompt": "Calculate: 3 * (-85)", "solution_steps": ["Multiply: 3 * (-85) = -255"], "final_answer": "-255", "answer_type": "integer", "kind": "expression", "math_text": "3 * (-85)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -85}", "seed": "6341750294078954703", "semantic_fingerprint": "sha256:71787d5f930b97f3955a0056ce60f934e0baae5cef449d69857fb1353037fc19", "generator_version": "3.0"}
{"id": "v3_test_id_00000887", "prompt": "Calculate: 3 - (-8) / (-32) / (-282)", "solution_steps": ["Divide: -8 / (-32) = 1/4", "Divide: (1/4) / (-282) = -1/1128", "Subtract: 3 - (-1/1128) = 3385/1128"], "final_answer": "3385/1128", "answer_type": "rational", "kind": "expression", "math_text": "3 - (-8) / (-32) / (-282)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -8, \"c\": -32, \"d\": -282}", "seed": "14634847957283102980", "semantic_fingerprint": "sha256:fa065ffd468f13dde7a480fe6fb343dcc760496db68ad8e3ae3bdb1c34bce330", "generator_version": "3.0"}
{"id": "v3_test_id_00000888", "prompt": "What value of x satisfies -11(x + 1) - 8 = 3x + 163?", "solution_steps": ["Expand: -11x - 11 - 8 = 3x + 163", "Combine constants: -11x - 19 = 3x + 163", "Subtract 3x from both sides: -14x - 19 = 163", "Add 19 to both sides: -14x = 182", "Divide both sides by -14: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 1) - 8 = 3x + 163", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 1, \"c\": 8, \"d\": 3, \"f\": 163, \"x\": -13}", "seed": "17780444023300215748", "semantic_fingerprint": "sha256:dde966ba0de3d9cf7408a264ec3bf1500b5a72e7f992a311e526456fa81c352e", "generator_version": "3.0"}
{"id": "v3_test_id_00000889", "prompt": "Evaluate: 345 / (-2)", "solution_steps": ["Divide: 345 / (-2) = -345/2"], "final_answer": "-345/2", "answer_type": "rational", "kind": "expression", "math_text": "345 / (-2)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 345, \"b\": -2}", "seed": "3232528847254469659", "semantic_fingerprint": "sha256:a9b8b5c345563a73a741a8732401d6e0e8014fd7f987f9fd9a928483cc77860a", "generator_version": "3.0"}
{"id": "v3_test_id_00000890", "prompt": "Calculate: -25 * (7 - (-357)) + (-82 + 170)", "solution_steps": ["Subtract: 7 - (-357) = 364", "Multiply: -25 * 364 = -9100", "Add: -82 + 170 = 88", "Add: -9100 + 88 = -9012"], "final_answer": "-9012", "answer_type": "integer", "kind": "expression", "math_text": "-25 * (7 - (-357)) + (-82 + 170)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": 7, \"c\": -357, \"d\": -82, \"e\": 170}", "seed": "8382984100286978211", "semantic_fingerprint": "sha256:36b4d91d63c73edc251cb82bcd9d736e0c58cb3e4b3fcc7fdbd01fa59148c813", "generator_version": "3.0"}
{"id": "v3_test_id_00000891", "prompt": "Evaluate: 462 / (-3)", "solution_steps": ["Divide: 462 / (-3) = -154"], "final_answer": "-154", "answer_type": "integer", "kind": "expression", "math_text": "462 / (-3)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 462, \"b\": -3}", "seed": "1272992400597180817", "semantic_fingerprint": "sha256:58e5f004c25d90684b00b4705d9166fe20e3f4127de923ab80ebb289be6218c8", "generator_version": "3.0"}
{"id": "v3_test_id_00000892", "prompt": "What is -194 + (-99 + 2 + 72)?", "solution_steps": ["Add: -99 + 2 = -97", "Add: -97 + 72 = -25", "Add: -194 + (-25) = -219"], "final_answer": "-219", "answer_type": "integer", "kind": "expression", "math_text": "-194 + (-99 + 2 + 72)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -194, \"b\": -99, \"c\": 2, \"d\": 72}", "seed": "13713346350683907229", "semantic_fingerprint": "sha256:9332a1fa2c3c9f368caf8fd34d3abbfd9609cde1afe8837a355461842f68efcb", "generator_version": "3.0"}
{"id": "v3_test_id_00000893", "prompt": "What is (48 - (-2)) / 6?", "solution_steps": ["Subtract: 48 - (-2) = 50", "Divide: 50 / 6 = 25/3"], "final_answer": "25/3", "answer_type": "rational", "kind": "expression", "math_text": "(48 - (-2)) / 6", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": -2, \"c\": 6}", "seed": "9186340495742423250", "semantic_fingerprint": "sha256:548bb76ba6c87c2c45cbf123ae0923e16d55e8ae12df4399bd2915324716db36", "generator_version": "3.0"}
{"id": "v3_test_id_00000894", "prompt": "Solve the equation x = 7(x + 105) for x.", "solution_steps": ["Expand: x = 7x + 735", "Subtract 7x from both sides: -6x = 735", "Divide both sides by -6: x = -245/2"], "final_answer": "-245/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 7(x + 105)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 105}", "seed": "6036507199780649054", "semantic_fingerprint": "sha256:b0b32f4b05872440bc76e721730ef5b7764c53950cf86aeae39d579c42f128ec", "generator_version": "3.0"}
{"id": "v3_test_id_00000895", "prompt": "Compute: 9 * (2 / (-8 / (-2)) * 0) + 81", "solution_steps": ["Divide: -8 / (-2) = 4", "Divide: 2 / 4 = 1/2", "Multiply: (1/2) * 0 = 0", "Multiply: 9 * 0 = 0", "Add: 0 + 81 = 81"], "final_answer": "81", "answer_type": "integer", "kind": "expression", "math_text": "9 * (2 / (-8 / (-2)) * 0) + 81", "variable": null, "family": "expression_5op", "shape": "(+ (* n (* (/ n (/ n n)) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": -8, \"d\": -2, \"e\": 0, \"f\": 81}", "seed": "18029399813783833300", "semantic_fingerprint": "sha256:e9bec82689d6f5f5460c2398bf428cecfeec12a0724d6678c96e84930088ccab", "generator_version": "3.0"}
{"id": "v3_test_id_00000896", "prompt": "Compute: 15 + (-81 / (-38) - 1)", "solution_steps": ["Divide: -81 / (-38) = 81/38", "Subtract: 81/38 - 1 = 43/38", "Add: 15 + 43/38 = 613/38"], "final_answer": "613/38", "answer_type": "rational", "kind": "expression", "math_text": "15 + (-81 / (-38) - 1)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": -81, \"c\": -38, \"d\": 1}", "seed": "202828283390033031", "semantic_fingerprint": "sha256:8d6cbf2467733cb0273e5cb568622e5e4c5731dd126f92e590d1312472290d25", "generator_version": "3.0"}
{"id": "v3_test_id_00000897", "prompt": "Compute: 50 + 15", "solution_steps": ["Add: 50 + 15 = 65"], "final_answer": "65", "answer_type": "integer", "kind": "expression", "math_text": "50 + 15", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": 15}", "seed": "6053534808986848528", "semantic_fingerprint": "sha256:b941b18147df407438e14752d4b9ca344004016b67c05315cc581ab136d1fc43", "generator_version": "3.0"}
{"id": "v3_test_id_00000898", "prompt": "Evaluate: -136 + (-86)", "solution_steps": ["Add: -136 + (-86) = -222"], "final_answer": "-222", "answer_type": "integer", "kind": "expression", "math_text": "-136 + (-86)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -136, \"b\": -86}", "seed": "8644593493168180660", "semantic_fingerprint": "sha256:a688e1849ff0419eddcbf08fb67da56c9499fe78b9776564dcb729e0c0c3a6b4", "generator_version": "3.0"}
{"id": "v3_test_id_00000899", "prompt": "Evaluate: 731 / (-999 + 39)", "solution_steps": ["Add: -999 + 39 = -960", "Divide: 731 / (-960) = -731/960"], "final_answer": "-731/960", "answer_type": "rational", "kind": "expression", "math_text": "731 / (-999 + 39)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 731, \"b\": -999, \"c\": 39}", "seed": "8302698789713612229", "semantic_fingerprint": "sha256:77ad8649e7417c7dd89e2971a4691143ad1e7bab5d8793b5c65c70aaa9f24518", "generator_version": "3.0"}
{"id": "v3_test_id_00000900", "prompt": "What is 24 + (920 + (4 + 4))?", "solution_steps": ["Add: 4 + 4 = 8", "Add: 920 + 8 = 928", "Add: 24 + 928 = 952"], "final_answer": "952", "answer_type": "integer", "kind": "expression", "math_text": "24 + (920 + (4 + 4))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": 920, \"c\": 4, \"d\": 4}", "seed": "9310971660469314911", "semantic_fingerprint": "sha256:7f69087ca2394487f8d650e437b6a3f596fda5b29f33a66bac9cedbcc0529b5b", "generator_version": "3.0"}
{"id": "v3_test_id_00000901", "prompt": "What value of x satisfies -7(x + 508) + 693 = 12x?", "solution_steps": ["Expand: -7x - 3556 + 693 = 12x", "Combine constants: -7x - 2863 = 12x", "Subtract 12x from both sides: -19x - 2863 = 0", "Add 2863 to both sides: -19x = 2863", "Divide both sides by -19: x = -2863/19"], "final_answer": "-2863/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x + 508) + 693 = 12x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 508, \"c\": 693, \"d\": 12}", "seed": "16709468849395107928", "semantic_fingerprint": "sha256:7e152b6fd536e635e3b382bbc9752cc501276346c5a73874b4af8727132c8d2f", "generator_version": "3.0"}
{"id": "v3_test_id_00000902", "prompt": "Calculate: 888 - ((-283 + 393) / 14 + (-6) + (-8))", "solution_steps": ["Add: -283 + 393 = 110", "Divide: 110 / 14 = 55/7", "Add: 55/7 + (-6) = 13/7", "Add: 13/7 + (-8) = -43/7", "Subtract: 888 - (-43/7) = 6259/7"], "final_answer": "6259/7", "answer_type": "rational", "kind": "expression", "math_text": "888 - ((-283 + 393) / 14 + (-6) + (-8))", "variable": null, "family": "expression_5op", "shape": "(- n (+ (+ (/ (+ n n) n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 888, \"b\": -283, \"c\": 393, \"d\": 14, \"e\": -6, \"f\": -8}", "seed": "5341883681011849758", "semantic_fingerprint": "sha256:8592c8d4bb038dd808ea3a721afd0ad09f3e4397f2d4000c3ba1bd05537f7e2b", "generator_version": "3.0"}
{"id": "v3_test_id_00000903", "prompt": "What is 88 * 20 * (6 / (-88)) - (-7) * (-4)?", "solution_steps": ["Multiply: 88 * 20 = 1760", "Divide: 6 / (-88) = -3/44", "Multiply: 1760 * (-3/44) = -120", "Multiply: -7 * (-4) = 28", "Subtract: -120 - 28 = -148"], "final_answer": "-148", "answer_type": "integer", "kind": "expression", "math_text": "88 * 20 * (6 / (-88)) - (-7) * (-4)", "variable": null, "family": "expression_5op", "shape": "(- (* (* n n) (/ n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": 20, \"c\": 6, \"d\": -88, \"e\": -7, \"f\": -4}", "seed": "10402752654716120567", "semantic_fingerprint": "sha256:6a1df8fb12fbccf01588ce78538edf7d89f98651068a3efe3dada45cd11136dc", "generator_version": "3.0"}
{"id": "v3_test_id_00000904", "prompt": "Solve the equation -4x + 83 = x - 788 for x.", "solution_steps": ["Subtract x from both sides: -5x + 83 = -788", "Subtract 83 from both sides: -5x = -871", "Divide both sides by -5: x = 871/5"], "final_answer": "871/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4x + 83 = x - 788", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 83, \"c\": 788}", "seed": "3801087605060865724", "semantic_fingerprint": "sha256:a9bc0278447c6fd31cda5090cd2573321154a2e93363042e0e20f0262acf7fc3", "generator_version": "3.0"}
{"id": "v3_test_id_00000905", "prompt": "What is 58 * 5 / 56?", "solution_steps": ["Multiply: 58 * 5 = 290", "Divide: 290 / 56 = 145/28"], "final_answer": "145/28", "answer_type": "rational", "kind": "expression", "math_text": "58 * 5 / 56", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": 5, \"c\": 56}", "seed": "13248299724311341791", "semantic_fingerprint": "sha256:dc2d2036ba07a90eb3b682838384373d0c42d301851be0e4975f067b44a4d316", "generator_version": "3.0"}
{"id": "v3_test_id_00000906", "prompt": "What is -4 / (-45) + 52 * 88?", "solution_steps": ["Divide: -4 / (-45) = 4/45", "Multiply: 52 * 88 = 4576", "Add: 4/45 + 4576 = 205924/45"], "final_answer": "205924/45", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-45) + 52 * 88", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -45, \"c\": 52, \"d\": 88}", "seed": "11626479340073322456", "semantic_fingerprint": "sha256:861fbe56233e33a644a14ffd4a001b149f6ff9eb0eefc0594eb6f0b6e7822a6a", "generator_version": "3.0"}
{"id": "v3_test_id_00000907", "prompt": "What is (5 - (-732) + 494) / ((-794 - (-94)) * (-2))?", "solution_steps": ["Subtract: 5 - (-732) = 737", "Add: 737 + 494 = 1231", "Subtract: -794 - (-94) = -700", "Multiply: -700 * (-2) = 1400", "Divide: 1231 / 1400 = 1231/1400"], "final_answer": "1231/1400", "answer_type": "rational", "kind": "expression", "math_text": "(5 - (-732) + 494) / ((-794 - (-94)) * (-2))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- n n) n) (* (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -732, \"c\": 494, \"d\": -794, \"e\": -94, \"f\": -2}", "seed": "14904146397250594588", "semantic_fingerprint": "sha256:3564a17756a2beb3cdeadcea81ab336a2ed2f6e0c760991a39aa5c5f86eb868d", "generator_version": "3.0"}
{"id": "v3_test_id_00000908", "prompt": "What value of x satisfies 2x + 52 = 9x - 839?", "solution_steps": ["Subtract 9x from both sides: -7x + 52 = -839", "Subtract 52 from both sides: -7x = -891", "Divide both sides by -7: x = 891/7"], "final_answer": "891/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x + 52 = 9x - 839", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 52, \"c\": 9, \"d\": 839}", "seed": "15297620583664747050", "semantic_fingerprint": "sha256:82e0a9aea3b24e85c68bfdc812b8d2c2ef56c9cdbe8e79e1cbdba8c7651ada9e", "generator_version": "3.0"}
{"id": "v3_test_id_00000909", "prompt": "Solve for x: 11(x + 2) + 2 = -7x + 168", "solution_steps": ["Expand: 11x + 22 + 2 = -7x + 168", "Combine constants: 11x + 24 = -7x + 168", "Add 7x to both sides: 18x + 24 = 168", "Subtract 24 from both sides: 18x = 144", "Divide both sides by 18: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 2) + 2 = -7x + 168", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 2, \"c\": 2, \"d\": -7, \"f\": 168, \"x\": 8}", "seed": "8996562100075055878", "semantic_fingerprint": "sha256:6f521fd500a2c229ca3e57207856ea1c456822fc6784c9e9e7d54ba125d1a8c5", "generator_version": "3.0"}
{"id": "v3_test_id_00000910", "prompt": "Find x: 8(x + 416) - 37 = 12(x - 99) - 67", "solution_steps": ["Expand: 8x + 3328 - 37 = 12(x - 99) - 67", "Expand: 8x + 3328 - 37 = 12x - 1188 - 67", "Combine constants: 8x + 3291 = 12x - 1188 - 67", "Combine constants: 8x + 3291 = 12x - 1255", "Subtract 12x from both sides: -4x + 3291 = -1255", "Subtract 3291 from both sides: -4x = -4546", "Divide both sides by -4: x = 2273/2"], "final_answer": "2273/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 416) - 37 = 12(x - 99) - 67", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 416, \"c\": 37, \"d\": 12, \"e\": 99, \"f\": 67}", "seed": "17828816867899342700", "semantic_fingerprint": "sha256:ff16873997b57c2af15b5a75ca84f7f84edcda29fb7b36fcb622e47b141dddf0", "generator_version": "3.0"}
{"id": "v3_test_id_00000911", "prompt": "Compute: 43 + (333 + (-8))", "solution_steps": ["Add: 333 + (-8) = 325", "Add: 43 + 325 = 368"], "final_answer": "368", "answer_type": "integer", "kind": "expression", "math_text": "43 + (333 + (-8))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": 333, \"c\": -8}", "seed": "1200938754496793394", "semantic_fingerprint": "sha256:80b605e2f8980b7da2ca0130c811a4588af0b2f348f06101b4be22863cfc10f4", "generator_version": "3.0"}
{"id": "v3_test_id_00000912", "prompt": "Find x: x = 4x + 48", "solution_steps": ["Subtract 4x from both sides: -3x = 48", "Divide both sides by -3: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 4x + 48", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"c\": 48, \"x\": -16}", "seed": "2754042133066722948", "semantic_fingerprint": "sha256:7620017cccd68b4cfb78886eb850e62453b6bfdb8953c2780abf7fe42e6ec889", "generator_version": "3.0"}
{"id": "v3_test_id_00000913", "prompt": "Find x: 11(x - 41) - 11 = 9(x + 3) - 457", "solution_steps": ["Expand: 11x - 451 - 11 = 9(x + 3) - 457", "Expand: 11x - 451 - 11 = 9x + 27 - 457", "Combine constants: 11x - 462 = 9x + 27 - 457", "Combine constants: 11x - 462 = 9x - 430", "Subtract 9x from both sides: 2x - 462 = -430", "Add 462 to both sides: 2x = 32", "Divide both sides by 2: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 41) - 11 = 9(x + 3) - 457", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 41, \"c\": 11, \"d\": 9, \"e\": 3, \"g\": -457, \"x\": 16}", "seed": "4273529964469308367", "semantic_fingerprint": "sha256:3ea294bbf020d05235b0d57cb043e9f44223bd3559048609791dc41ebd98d8df", "generator_version": "3.0"}
{"id": "v3_test_id_00000914", "prompt": "Compute: -3 - (-517 + 318 + (-6) * (-4))", "solution_steps": ["Add: -517 + 318 = -199", "Multiply: -6 * (-4) = 24", "Add: -199 + 24 = -175", "Subtract: -3 - (-175) = 172"], "final_answer": "172", "answer_type": "integer", "kind": "expression", "math_text": "-3 - (-517 + 318 + (-6) * (-4))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (+ n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -517, \"c\": 318, \"d\": -6, \"e\": -4}", "seed": "5074345208784905274", "semantic_fingerprint": "sha256:27deef0dd010306cd0edbaf39923748c5c76f6301ad8e61ce997f0277832e3e3", "generator_version": "3.0"}
{"id": "v3_test_id_00000915", "prompt": "Solve for x: 6x + 7 = x + 92", "solution_steps": ["Subtract x from both sides: 5x + 7 = 92", "Subtract 7 from both sides: 5x = 85", "Divide both sides by 5: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x + 7 = x + 92", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 7, \"d\": 92, \"x\": 17}", "seed": "5820017496767944329", "semantic_fingerprint": "sha256:ea232ed1d9287e08d296f92b24a5737ba47766946c70408a6fe9006cb1bcf934", "generator_version": "3.0"}
{"id": "v3_test_id_00000916", "prompt": "Compute: -292 - 904", "solution_steps": ["Subtract: -292 - 904 = -1196"], "final_answer": "-1196", "answer_type": "integer", "kind": "expression", "math_text": "-292 - 904", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -292, \"b\": 904}", "seed": "10103036333132505424", "semantic_fingerprint": "sha256:83bd78123d974abafea84606e56176249073eb326655db0b37e770fa408181d4", "generator_version": "3.0"}
{"id": "v3_test_id_00000917", "prompt": "Find x: 8x + 9 = 4(x + 88) - 403", "solution_steps": ["Expand: 8x + 9 = 4x + 352 - 403", "Combine constants: 8x + 9 = 4x - 51", "Subtract 4x from both sides: 4x + 9 = -51", "Subtract 9 from both sides: 4x = -60", "Divide both sides by 4: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x + 9 = 4(x + 88) - 403", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": 4, \"d\": 88, \"f\": -403, \"x\": -15}", "seed": "5452978377801220705", "semantic_fingerprint": "sha256:95e43b20acbe006d084a1ad407adc955d700605746c6551db846866f3620dfb8", "generator_version": "3.0"}
{"id": "v3_test_id_00000918", "prompt": "Compute: -33 - (12 - (86 + (-25)) - 476)", "solution_steps": ["Add: 86 + (-25) = 61", "Subtract: 12 - 61 = -49", "Subtract: -49 - 476 = -525", "Subtract: -33 - (-525) = 492"], "final_answer": "492", "answer_type": "integer", "kind": "expression", "math_text": "-33 - (12 - (86 + (-25)) - 476)", "variable": null, "family": "expression_4op", "shape": "(- n (- (- n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": 12, \"c\": 86, \"d\": -25, \"e\": 476}", "seed": "18420907086373918505", "semantic_fingerprint": "sha256:954c6e10c010b2d0a840bd0353ed2def6d484d6df561bdb70894d761a0206242", "generator_version": "3.0"}
{"id": "v3_test_id_00000919", "prompt": "Evaluate: 486 / (-2) + 2", "solution_steps": ["Divide: 486 / (-2) = -243", "Add: -243 + 2 = -241"], "final_answer": "-241", "answer_type": "integer", "kind": "expression", "math_text": "486 / (-2) + 2", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 486, \"b\": -2, \"c\": 2}", "seed": "4300426635908407392", "semantic_fingerprint": "sha256:776c950621aff9aa4945e8b927818c8c9346731e722741d107827eb20fb8dc88", "generator_version": "3.0"}
{"id": "v3_test_id_00000920", "prompt": "Calculate: (-8 - 62 - 3) / (-240 - (41 - 95))", "solution_steps": ["Subtract: -8 - 62 = -70", "Subtract: -70 - 3 = -73", "Subtract: 41 - 95 = -54", "Subtract: -240 - (-54) = -186", "Divide: -73 / (-186) = 73/186"], "final_answer": "73/186", "answer_type": "rational", "kind": "expression", "math_text": "(-8 - 62 - 3) / (-240 - (41 - 95))", "variable": null, "family": "expression_5op", "shape": "(/ (- (- n n) n) (- n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 62, \"c\": 3, \"d\": -240, \"e\": 41, \"f\": 95}", "seed": "2330716898795284370", "semantic_fingerprint": "sha256:ff0ab5521e8f66876031c9b04f7c46929f8e3367ee0aa4ad3db2099f6ce9001a", "generator_version": "3.0"}
{"id": "v3_test_id_00000921", "prompt": "Evaluate: -86 - 860 + (-6) - 470", "solution_steps": ["Subtract: -86 - 860 = -946", "Add: -946 + (-6) = -952", "Subtract: -952 - 470 = -1422"], "final_answer": "-1422", "answer_type": "integer", "kind": "expression", "math_text": "-86 - 860 + (-6) - 470", "variable": null, "family": "expression_3op", "shape": "(- (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": 860, \"c\": -6, \"d\": 470}", "seed": "10461902433992013353", "semantic_fingerprint": "sha256:0981cae6533bef6defb7e8f514c4b4aec2bbe2cc2132ef576c80cd0c26496cba", "generator_version": "3.0"}
{"id": "v3_test_id_00000922", "prompt": "What is 1 * (-5) * (993 * (-716) / (-6))?", "solution_steps": ["Multiply: 1 * (-5) = -5", "Multiply: 993 * (-716) = -710988", "Divide: -710988 / (-6) = 118498", "Multiply: -5 * 118498 = -592490"], "final_answer": "-592490", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-5) * (993 * (-716) / (-6))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -5, \"c\": 993, \"d\": -716, \"e\": -6}", "seed": "6482428354856925337", "semantic_fingerprint": "sha256:60b3f10e64cfa381a5b0d05f312e2417a0f8b63cf76c9be6fcc9b1f7629ae7dd", "generator_version": "3.0"}
{"id": "v3_test_id_00000923", "prompt": "Compute: -8 * 0", "solution_steps": ["Multiply: -8 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-8 * 0", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 0}", "seed": "6178962948060088372", "semantic_fingerprint": "sha256:2e90c9e609fe110f37bf04bb53c2d7fabf3d4636aedf554d8d45e6a126ae0074", "generator_version": "3.0"}
{"id": "v3_test_id_00000924", "prompt": "Solve for x: 4(x + 32) = 10(x + 78) - 736", "solution_steps": ["Expand: 4x + 128 = 10(x + 78) - 736", "Expand: 4x + 128 = 10x + 780 - 736", "Combine constants: 4x + 128 = 10x + 44", "Subtract 10x from both sides: -6x + 128 = 44", "Subtract 128 from both sides: -6x = -84", "Divide both sides by -6: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 32) = 10(x + 78) - 736", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 32, \"c\": 10, \"d\": 78, \"f\": -736, \"x\": 14}", "seed": "2584725869134340031", "semantic_fingerprint": "sha256:fe811440045bf8743e54f695ed6f40cb7793c5a58bec65ce76bee542ea5125b5", "generator_version": "3.0"}
{"id": "v3_test_id_00000925", "prompt": "Evaluate: 16 + 8 - 244", "solution_steps": ["Add: 16 + 8 = 24", "Subtract: 24 - 244 = -220"], "final_answer": "-220", "answer_type": "integer", "kind": "expression", "math_text": "16 + 8 - 244", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": 8, \"c\": 244}", "seed": "10342225406230125452", "semantic_fingerprint": "sha256:9da9765ee09ee2e16c3be438262c52399501699a869fc48b0c6bf4ff520fab4f", "generator_version": "3.0"}
{"id": "v3_test_id_00000926", "prompt": "Evaluate: 8 - 0 / 36", "solution_steps": ["Divide: 0 / 36 = 0", "Subtract: 8 - 0 = 8"], "final_answer": "8", "answer_type": "integer", "kind": "expression", "math_text": "8 - 0 / 36", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 0, \"c\": 36}", "seed": "15455626685178847831", "semantic_fingerprint": "sha256:62bdd2cd175b65f6d241ff9239667ac3f82c24b8b6324544e3abd3e8c89af509", "generator_version": "3.0"}
{"id": "v3_test_id_00000927", "prompt": "Solve the equation 3x = -11(x + 43) for x.", "solution_steps": ["Expand: 3x = -11x - 473", "Add 11x to both sides: 14x = -473", "Divide both sides by 14: x = -473/14"], "final_answer": "-473/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x = -11(x + 43)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -11, \"c\": 43}", "seed": "8595305632083627612", "semantic_fingerprint": "sha256:4cf150732232a2ebd155d7f1dd35c58ae925d4cff201ac0f4ccbfa1e49f39143", "generator_version": "3.0"}
{"id": "v3_test_id_00000928", "prompt": "What is 4 - 1 + (-95) * (-9)?", "solution_steps": ["Subtract: 4 - 1 = 3", "Multiply: -95 * (-9) = 855", "Add: 3 + 855 = 858"], "final_answer": "858", "answer_type": "integer", "kind": "expression", "math_text": "4 - 1 + (-95) * (-9)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": -95, \"d\": -9}", "seed": "4311077302328381717", "semantic_fingerprint": "sha256:4a7397b6be54a9cc41f6127ee1df844e0bc053ddbea31c0b8e21e00fbcc5d3df", "generator_version": "3.0"}
{"id": "v3_test_id_00000929", "prompt": "Compute: 5 / 9 - 95 * 0", "solution_steps": ["Divide: 5 / 9 = 5/9", "Multiply: 95 * 0 = 0", "Subtract: 5/9 - 0 = 5/9"], "final_answer": "5/9", "answer_type": "rational", "kind": "expression", "math_text": "5 / 9 - 95 * 0", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": 95, \"d\": 0}", "seed": "11705740513903121587", "semantic_fingerprint": "sha256:39e249778f084c0754daf6d13db985487ce32ca0dea91def896bd82acd1e78bd", "generator_version": "3.0"}
{"id": "v3_test_id_00000930", "prompt": "Find x: 5(x - 3) = 60", "solution_steps": ["Expand: 5x - 15 = 60", "Add 15 to both sides: 5x = 75", "Divide both sides by 5: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 3) = 60", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"d\": 60, \"x\": 15}", "seed": "2903552411782759324", "semantic_fingerprint": "sha256:786097cef7590608c6034f4eb9fc29e2eb516c657d508fe657883bfe37b57c9a", "generator_version": "3.0"}
{"id": "v3_test_id_00000931", "prompt": "Compute: 973 * (-2 * (-96 - (-48)) - (-62))", "solution_steps": ["Subtract: -96 - (-48) = -48", "Multiply: -2 * (-48) = 96", "Subtract: 96 - (-62) = 158", "Multiply: 973 * 158 = 153734"], "final_answer": "153734", "answer_type": "integer", "kind": "expression", "math_text": "973 * (-2 * (-96 - (-48)) - (-62))", "variable": null, "family": "expression_4op", "shape": "(* n (- (* n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 973, \"b\": -2, \"c\": -96, \"d\": -48, \"e\": -62}", "seed": "14677846568231400750", "semantic_fingerprint": "sha256:d8f86e07407085abea0d3237833512c274a5a94438e52bf84b186c086e68f09e", "generator_version": "3.0"}
{"id": "v3_test_id_00000932", "prompt": "Compute: -41 + (-56) * 7", "solution_steps": ["Multiply: -56 * 7 = -392", "Add: -41 + (-392) = -433"], "final_answer": "-433", "answer_type": "integer", "kind": "expression", "math_text": "-41 + (-56) * 7", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": -56, \"c\": 7}", "seed": "17331636765914664639", "semantic_fingerprint": "sha256:08bd11f9cc381b29db37fc34f3916814fa4f8233813b51b5140e35864a1a8c6d", "generator_version": "3.0"}
{"id": "v3_test_id_00000933", "prompt": "Compute: -7 + 45 + 12", "solution_steps": ["Add: -7 + 45 = 38", "Add: 38 + 12 = 50"], "final_answer": "50", "answer_type": "integer", "kind": "expression", "math_text": "-7 + 45 + 12", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 45, \"c\": 12}", "seed": "15891445389937847471", "semantic_fingerprint": "sha256:58645152c88d0840fc9c9656f9230554c8780b4cc5f117d37ab9db2ce3aeb87f", "generator_version": "3.0"}
{"id": "v3_test_id_00000934", "prompt": "Compute: -415 - (-4 + (-3)) - (9 - 98)", "solution_steps": ["Add: -4 + (-3) = -7", "Subtract: -415 - (-7) = -408", "Subtract: 9 - 98 = -89", "Subtract: -408 - (-89) = -319"], "final_answer": "-319", "answer_type": "integer", "kind": "expression", "math_text": "-415 - (-4 + (-3)) - (9 - 98)", "variable": null, "family": "expression_4op", "shape": "(- (- n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -415, \"b\": -4, \"c\": -3, \"d\": 9, \"e\": 98}", "seed": "12214868298202662812", "semantic_fingerprint": "sha256:252f5664b2cda8b003ae51eb30739d9fe1bc327ac2b430b2f487ca39153395f3", "generator_version": "3.0"}
{"id": "v3_test_id_00000935", "prompt": "What is 13 * (-96) * (0 + (-572) + 756) + (-57)?", "solution_steps": ["Multiply: 13 * (-96) = -1248", "Add: 0 + (-572) = -572", "Add: -572 + 756 = 184", "Multiply: -1248 * 184 = -229632", "Add: -229632 + (-57) = -229689"], "final_answer": "-229689", "answer_type": "integer", "kind": "expression", "math_text": "13 * (-96) * (0 + (-572) + 756) + (-57)", "variable": null, "family": "expression_5op", "shape": "(+ (* (* n n) (+ (+ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": -96, \"c\": 0, \"d\": -572, \"e\": 756, \"f\": -57}", "seed": "16398793855942779362", "semantic_fingerprint": "sha256:782b76c253328c676789f66b76b85d57cd2fde7c6bbe3816a20fb90e33a2d17f", "generator_version": "3.0"}
{"id": "v3_test_id_00000936", "prompt": "What value of x satisfies 2(x - 5) - 236 = 7x - 156?", "solution_steps": ["Expand: 2x - 10 - 236 = 7x - 156", "Combine constants: 2x - 246 = 7x - 156", "Subtract 7x from both sides: -5x - 246 = -156", "Add 246 to both sides: -5x = 90", "Divide both sides by -5: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 5) - 236 = 7x - 156", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"c\": 236, \"d\": 7, \"f\": -156, \"x\": -18}", "seed": "916029369741711296", "semantic_fingerprint": "sha256:ac5f20e4c36c8fbf045858d947f4f123dafb10e0b2f9fea36993f0a7772ca14c", "generator_version": "3.0"}
{"id": "v3_test_id_00000937", "prompt": "Evaluate: -712 / 7", "solution_steps": ["Divide: -712 / 7 = -712/7"], "final_answer": "-712/7", "answer_type": "rational", "kind": "expression", "math_text": "-712 / 7", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -712, \"b\": 7}", "seed": "5628881716128553088", "semantic_fingerprint": "sha256:0fa214a4ae8990535d921147d1b8e92f7d4903605899a728b5b5f550aa773dd2", "generator_version": "3.0"}
{"id": "v3_test_id_00000938", "prompt": "What is 654 * (-294) + 232?", "solution_steps": ["Multiply: 654 * (-294) = -192276", "Add: -192276 + 232 = -192044"], "final_answer": "-192044", "answer_type": "integer", "kind": "expression", "math_text": "654 * (-294) + 232", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 654, \"b\": -294, \"c\": 232}", "seed": "8562926177020024673", "semantic_fingerprint": "sha256:8c3a2482956235b33aa502c516a7b2cc0d282a41821e1ebc2640d896e89d6b3d", "generator_version": "3.0"}
{"id": "v3_test_id_00000939", "prompt": "What value of x satisfies 4(x + 598) + 128 = 10(x + 7)?", "solution_steps": ["Expand: 4x + 2392 + 128 = 10(x + 7)", "Expand: 4x + 2392 + 128 = 10x + 70", "Combine constants: 4x + 2520 = 10x + 70", "Subtract 10x from both sides: -6x + 2520 = 70", "Subtract 2520 from both sides: -6x = -2450", "Divide both sides by -6: x = 1225/3"], "final_answer": "1225/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 598) + 128 = 10(x + 7)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 598, \"c\": 128, \"d\": 10, \"e\": 7}", "seed": "11380724194978879663", "semantic_fingerprint": "sha256:4bd534518bf93a10cfbe894fd2ed0f6584209813b7a21c6bdf22937ff6b633b1", "generator_version": "3.0"}
{"id": "v3_test_id_00000940", "prompt": "Evaluate: 913 - (-82 - 9)", "solution_steps": ["Subtract: -82 - 9 = -91", "Subtract: 913 - (-91) = 1004"], "final_answer": "1004", "answer_type": "integer", "kind": "expression", "math_text": "913 - (-82 - 9)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 913, \"b\": -82, \"c\": 9}", "seed": "18045888764368966804", "semantic_fingerprint": "sha256:c6783567861d7c77aae2bef27736a9d73fa7a833cf0de476133fd14a2e981ab6", "generator_version": "3.0"}
{"id": "v3_test_id_00000941", "prompt": "Calculate: -51 + 98 - (-427)", "solution_steps": ["Add: -51 + 98 = 47", "Subtract: 47 - (-427) = 474"], "final_answer": "474", "answer_type": "integer", "kind": "expression", "math_text": "-51 + 98 - (-427)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": 98, \"c\": -427}", "seed": "16807317571431268077", "semantic_fingerprint": "sha256:31c12c9b34fcb714dba56b1bb61ea0a0df0bb9b9e24d5fa03af87c68eaaf42e9", "generator_version": "3.0"}
{"id": "v3_test_id_00000942", "prompt": "Find x: 4x + 3 = 8(x + 85) - 697", "solution_steps": ["Expand: 4x + 3 = 8x + 680 - 697", "Combine constants: 4x + 3 = 8x - 17", "Subtract 8x from both sides: -4x + 3 = -17", "Subtract 3 from both sides: -4x = -20", "Divide both sides by -4: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x + 3 = 8(x + 85) - 697", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 3, \"c\": 8, \"d\": 85, \"f\": -697, \"x\": 5}", "seed": "16959838843984031621", "semantic_fingerprint": "sha256:493ad88dd3b52a82a9c7113b65bf464fb935cb85fccc268e4fc563e364dda136", "generator_version": "3.0"}
{"id": "v3_test_id_00000943", "prompt": "Solve the equation x - 104 = 9x for x.", "solution_steps": ["Subtract 9x from both sides: -8x - 104 = 0", "Add 104 to both sides: -8x = 104", "Divide both sides by -8: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 104 = 9x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"c\": -104, \"x\": -13}", "seed": "1669694238123256011", "semantic_fingerprint": "sha256:76b558c26e8f01a908e192fbfef516bd4a95b5eb934112070d41c63580d10a02", "generator_version": "3.0"}
{"id": "v3_test_id_00000944", "prompt": "What is 3 / 1 * 87 + (-5) * (-51 + (-34))?", "solution_steps": ["Divide: 3 / 1 = 3", "Multiply: 3 * 87 = 261", "Add: -51 + (-34) = -85", "Multiply: -5 * (-85) = 425", "Add: 261 + 425 = 686"], "final_answer": "686", "answer_type": "integer", "kind": "expression", "math_text": "3 / 1 * 87 + (-5) * (-51 + (-34))", "variable": null, "family": "expression_5op", "shape": "(+ (* (/ n n) n) (* n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 1, \"c\": 87, \"d\": -5, \"e\": -51, \"f\": -34}", "seed": "18416754584541538713", "semantic_fingerprint": "sha256:f8a1a544737d95ec34ba4cce855f88eea46e0314c9df4e122d23fb88b402b7fd", "generator_version": "3.0"}
{"id": "v3_test_id_00000945", "prompt": "Calculate: 94 + ((-7 + (-63)) / 751 - (-72 + (-97)))", "solution_steps": ["Add: -7 + (-63) = -70", "Divide: -70 / 751 = -70/751", "Add: -72 + (-97) = -169", "Subtract: -70/751 - (-169) = 126849/751", "Add: 94 + 126849/751 = 197443/751"], "final_answer": "197443/751", "answer_type": "rational", "kind": "expression", "math_text": "94 + ((-7 + (-63)) / 751 - (-72 + (-97)))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (/ (+ n n) n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": -7, \"c\": -63, \"d\": 751, \"e\": -72, \"f\": -97}", "seed": "17783701385170989400", "semantic_fingerprint": "sha256:d89cdc564b569453eafe00d0b8281eaa59336ef2b14a443e1498d61e746ba492", "generator_version": "3.0"}
{"id": "v3_test_id_00000946", "prompt": "Calculate: 43 / 74 * 5", "solution_steps": ["Divide: 43 / 74 = 43/74", "Multiply: (43/74) * 5 = 215/74"], "final_answer": "215/74", "answer_type": "rational", "kind": "expression", "math_text": "43 / 74 * 5", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": 74, \"c\": 5}", "seed": "14730449143760456528", "semantic_fingerprint": "sha256:7a97ebd7049f82ede35e07b13fd75b9f8e2c2afa7f90af1c82eeb14a39e68293", "generator_version": "3.0"}
{"id": "v3_test_id_00000947", "prompt": "Calculate: -48 * (-3)", "solution_steps": ["Multiply: -48 * (-3) = 144"], "final_answer": "144", "answer_type": "integer", "kind": "expression", "math_text": "-48 * (-3)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": -3}", "seed": "12688969781052332016", "semantic_fingerprint": "sha256:e9e05779744d7ae36bed3a1c6eefbc2e1de594888dd6e03b1ff6f2d8b51af85f", "generator_version": "3.0"}
{"id": "v3_test_id_00000948", "prompt": "Evaluate: -12 * (-8)", "solution_steps": ["Multiply: -12 * (-8) = 96"], "final_answer": "96", "answer_type": "integer", "kind": "expression", "math_text": "-12 * (-8)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": -8}", "seed": "12944986145006976860", "semantic_fingerprint": "sha256:2a0a0f8141501d510fe55a3a4cc22499db076de6b599894909a76b7514da57f7", "generator_version": "3.0"}
{"id": "v3_test_id_00000949", "prompt": "Solve the equation x - 754 = 5x - 818 for x.", "solution_steps": ["Subtract 5x from both sides: -4x - 754 = -818", "Add 754 to both sides: -4x = -64", "Divide both sides by -4: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 754 = 5x - 818", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 754, \"b\": 5, \"d\": -818, \"x\": 16}", "seed": "9758428367805677701", "semantic_fingerprint": "sha256:32c8252ad1563bd9f42fd3485083104b4cba2586febc65977936591fa546142b", "generator_version": "3.0"}
{"id": "v3_test_id_00000950", "prompt": "Evaluate: -837 - (-1) - (-88)", "solution_steps": ["Subtract: -837 - (-1) = -836", "Subtract: -836 - (-88) = -748"], "final_answer": "-748", "answer_type": "integer", "kind": "expression", "math_text": "-837 - (-1) - (-88)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -837, \"b\": -1, \"c\": -88}", "seed": "5704231992229355664", "semantic_fingerprint": "sha256:2760cffe4fc02c916826fa8e103577a913c4110de308d5030a8428aac14fe3d0", "generator_version": "3.0"}
{"id": "v3_test_id_00000951", "prompt": "Calculate: -48 + (-889) - (-15)", "solution_steps": ["Add: -48 + (-889) = -937", "Subtract: -937 - (-15) = -922"], "final_answer": "-922", "answer_type": "integer", "kind": "expression", "math_text": "-48 + (-889) - (-15)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": -889, \"c\": -15}", "seed": "1877042226418213165", "semantic_fingerprint": "sha256:265ceaa4c282594980bbf547301975fb9e143e82b4cfd8fd96750fea6112163c", "generator_version": "3.0"}
{"id": "v3_test_id_00000952", "prompt": "Compute: 93 * (-16) + 7", "solution_steps": ["Multiply: 93 * (-16) = -1488", "Add: -1488 + 7 = -1481"], "final_answer": "-1481", "answer_type": "integer", "kind": "expression", "math_text": "93 * (-16) + 7", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": -16, \"c\": 7}", "seed": "14308720802962668567", "semantic_fingerprint": "sha256:77d28453897941b0e69f409e53fdf00e25c42f38835c6a7bef72e23392dd4c88", "generator_version": "3.0"}
{"id": "v3_test_id_00000953", "prompt": "Evaluate: 33 * (-3)", "solution_steps": ["Multiply: 33 * (-3) = -99"], "final_answer": "-99", "answer_type": "integer", "kind": "expression", "math_text": "33 * (-3)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": -3}", "seed": "17876827397835679694", "semantic_fingerprint": "sha256:3b514d6aae5467bf2099c0e6818bb643393ce278e53f6e0f1fdcf2635d7eed40", "generator_version": "3.0"}
{"id": "v3_test_id_00000954", "prompt": "Evaluate: -484 - (-21) - (-6)", "solution_steps": ["Subtract: -484 - (-21) = -463", "Subtract: -463 - (-6) = -457"], "final_answer": "-457", "answer_type": "integer", "kind": "expression", "math_text": "-484 - (-21) - (-6)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -484, \"b\": -21, \"c\": -6}", "seed": "7551677332010013280", "semantic_fingerprint": "sha256:e59cd16623334f37c2065043b29fd45128558d6e107ec11e9b85a9b9f13ec812", "generator_version": "3.0"}
{"id": "v3_test_id_00000955", "prompt": "Solve the equation x + 3 = -12(x - 234) + 996 for x.", "solution_steps": ["Expand: x + 3 = -12x + 2808 + 996", "Combine constants: x + 3 = -12x + 3804", "Add 12x to both sides: 13x + 3 = 3804", "Subtract 3 from both sides: 13x = 3801", "Divide both sides by 13: x = 3801/13"], "final_answer": "3801/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 3 = -12(x - 234) + 996", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -12, \"c\": 234, \"d\": 996}", "seed": "5455121443610861451", "semantic_fingerprint": "sha256:d19b6f5b716e0eafcaf78872aa2cbf70d4e65e99e08378e322b6a039f57b327d", "generator_version": "3.0"}
{"id": "v3_test_id_00000956", "prompt": "Evaluate: 0 * 15", "solution_steps": ["Multiply: 0 * 15 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * 15", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 15}", "seed": "11736754381613053750", "semantic_fingerprint": "sha256:25edf030fe36502f4698a5bb163647561bc7e582890f0b434cf6ea81dcb92001", "generator_version": "3.0"}
{"id": "v3_test_id_00000957", "prompt": "Calculate: 42 - (-786) - (-33)", "solution_steps": ["Subtract: 42 - (-786) = 828", "Subtract: 828 - (-33) = 861"], "final_answer": "861", "answer_type": "integer", "kind": "expression", "math_text": "42 - (-786) - (-33)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": -786, \"c\": -33}", "seed": "14333724797700692276", "semantic_fingerprint": "sha256:2da4d88e30c265ed748873ab000f4e0e65ba720f2698e04fa29e04835b7bc640", "generator_version": "3.0"}
{"id": "v3_test_id_00000958", "prompt": "Find x: x = -3(x - 10)", "solution_steps": ["Expand: x = -3x + 30", "Add 3x to both sides: 4x = 30", "Divide both sides by 4: x = 15/2"], "final_answer": "15/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -3(x - 10)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 10}", "seed": "12538362795070024330", "semantic_fingerprint": "sha256:c4c9837ab9397ef77cfb34554270480f2e77ba875756c4610af223f775334f77", "generator_version": "3.0"}
{"id": "v3_test_id_00000959", "prompt": "Compute: (-38 * 4 + (-873)) / (3 / 81 * (-128))", "solution_steps": ["Multiply: -38 * 4 = -152", "Add: -152 + (-873) = -1025", "Divide: 3 / 81 = 1/27", "Multiply: (1/27) * (-128) = -128/27", "Divide: -1025 / (-128/27) = 27675/128"], "final_answer": "27675/128", "answer_type": "rational", "kind": "expression", "math_text": "(-38 * 4 + (-873)) / (3 / 81 * (-128))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (* n n) n) (* (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": 4, \"c\": -873, \"d\": 3, \"e\": 81, \"f\": -128}", "seed": "10928410989612043858", "semantic_fingerprint": "sha256:221ed7849dd270960d9fc82ee182f11c1fb8ac4c4069548fd0f9353c1a2091e2", "generator_version": "3.0"}
{"id": "v3_test_id_00000960", "prompt": "Find x: x - 301 = 5(x - 53)", "solution_steps": ["Expand: x - 301 = 5x - 265", "Subtract 5x from both sides: -4x - 301 = -265", "Add 301 to both sides: -4x = 36", "Divide both sides by -4: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 301 = 5(x - 53)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 53, \"d\": -301, \"x\": -9}", "seed": "15142228711141061207", "semantic_fingerprint": "sha256:674a0556edee0ea41a48eeb7f3a301e9ee96d41106740a06d31a43c1efb1e4c3", "generator_version": "3.0"}
{"id": "v3_test_id_00000961", "prompt": "Calculate: 8 + (-18) * (-1)", "solution_steps": ["Multiply: -18 * (-1) = 18", "Add: 8 + 18 = 26"], "final_answer": "26", "answer_type": "integer", "kind": "expression", "math_text": "8 + (-18) * (-1)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -18, \"c\": -1}", "seed": "405774397278412100", "semantic_fingerprint": "sha256:b9bb6ab6d757b82f706a9201698dd6001727d24ae43124df96323878b4e4a5d3", "generator_version": "3.0"}
{"id": "v3_test_id_00000962", "prompt": "Evaluate: 40 + (1 - (-6) * 22 * 98)", "solution_steps": ["Multiply: -6 * 22 = -132", "Multiply: -132 * 98 = -12936", "Subtract: 1 - (-12936) = 12937", "Add: 40 + 12937 = 12977"], "final_answer": "12977", "answer_type": "integer", "kind": "expression", "math_text": "40 + (1 - (-6) * 22 * 98)", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (* (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": 1, \"c\": -6, \"d\": 22, \"e\": 98}", "seed": "4110404671130675375", "semantic_fingerprint": "sha256:c089e75c09230819ec144d4ebc85d31eda4e6071b473bc7d884fbc4ff45a4e10", "generator_version": "3.0"}
{"id": "v3_test_id_00000963", "prompt": "What value of x satisfies -11(x - 5) + 7 = -10(x + 90) + 976?", "solution_steps": ["Expand: -11x + 55 + 7 = -10(x + 90) + 976", "Expand: -11x + 55 + 7 = -10x - 900 + 976", "Combine constants: -11x + 62 = -10x - 900 + 976", "Combine constants: -11x + 62 = -10x + 76", "Add 10x to both sides: -x + 62 = 76", "Subtract 62 from both sides: -x = 14", "Divide both sides by -1: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 5) + 7 = -10(x + 90) + 976", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 5, \"c\": 7, \"d\": -10, \"e\": 90, \"g\": 976, \"x\": -14}", "seed": "9287200431355482907", "semantic_fingerprint": "sha256:372695c319ee5ba8328470245b3f75ffe6749deeb717401c8085b51a78321f30", "generator_version": "3.0"}
{"id": "v3_test_id_00000964", "prompt": "What is -8 - (-9 + 0) / (-40 - 52)?", "solution_steps": ["Add: -9 + 0 = -9", "Subtract: -40 - 52 = -92", "Divide: -9 / (-92) = 9/92", "Subtract: -8 - 9/92 = -745/92"], "final_answer": "-745/92", "answer_type": "rational", "kind": "expression", "math_text": "-8 - (-9 + 0) / (-40 - 52)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (+ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -9, \"c\": 0, \"d\": -40, \"e\": 52}", "seed": "15669173693650027047", "semantic_fingerprint": "sha256:a6a92c4211adf002e61aa9b2dd264e421ed77b6ef543662156ceb376b68c2499", "generator_version": "3.0"}
{"id": "v3_test_id_00000965", "prompt": "What value of x satisfies 6(x - 9) - 9 = 4x - 77?", "solution_steps": ["Expand: 6x - 54 - 9 = 4x - 77", "Combine constants: 6x - 63 = 4x - 77", "Subtract 4x from both sides: 2x - 63 = -77", "Add 63 to both sides: 2x = -14", "Divide both sides by 2: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 9) - 9 = 4x - 77", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 9, \"d\": 4, \"f\": -77, \"x\": -7}", "seed": "4174181541705432497", "semantic_fingerprint": "sha256:cb148fa321c086323f0a35f465ef9dd072b83ab40d9ccc21532dd5c289e95536", "generator_version": "3.0"}
{"id": "v3_test_id_00000966", "prompt": "Evaluate: 92 - 61 / (-95 + (-12))", "solution_steps": ["Add: -95 + (-12) = -107", "Divide: 61 / (-107) = -61/107", "Subtract: 92 - (-61/107) = 9905/107"], "final_answer": "9905/107", "answer_type": "rational", "kind": "expression", "math_text": "92 - 61 / (-95 + (-12))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": 61, \"c\": -95, \"d\": -12}", "seed": "14005324636987622318", "semantic_fingerprint": "sha256:357f181a78b0d04e5c4ebe7538e86ada7a5e3c9f2ffa0a72b1db8eae14edc044", "generator_version": "3.0"}
{"id": "v3_test_id_00000967", "prompt": "What is 632 + (-20) * (99 / 3 * (-56))?", "solution_steps": ["Divide: 99 / 3 = 33", "Multiply: 33 * (-56) = -1848", "Multiply: -20 * (-1848) = 36960", "Add: 632 + 36960 = 37592"], "final_answer": "37592", "answer_type": "integer", "kind": "expression", "math_text": "632 + (-20) * (99 / 3 * (-56))", "variable": null, "family": "expression_4op", "shape": "(+ n (* n (* (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 632, \"b\": -20, \"c\": 99, \"d\": 3, \"e\": -56}", "seed": "12654716510908727485", "semantic_fingerprint": "sha256:b3596820814499429c22c8a1bff805e2adb0636fa5935bd32647c001b3337b08", "generator_version": "3.0"}
{"id": "v3_test_id_00000968", "prompt": "Evaluate: -6 + 92", "solution_steps": ["Add: -6 + 92 = 86"], "final_answer": "86", "answer_type": "integer", "kind": "expression", "math_text": "-6 + 92", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 92}", "seed": "5169359614261580138", "semantic_fingerprint": "sha256:9c20d86c216bbef4ca74b3bff6025af0541f9bf02b0c057ea1db8d1d8a3aa316", "generator_version": "3.0"}
{"id": "v3_test_id_00000969", "prompt": "Solve the equation -7x = x - 160 for x.", "solution_steps": ["Subtract x from both sides: -8x = -160", "Divide both sides by -8: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x = x - 160", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"c\": -160, \"x\": 20}", "seed": "5628335138421590516", "semantic_fingerprint": "sha256:1dbf8532ade5fb27c06b816ffa430fefd066b14542e0b097884534e5f4c6a98b", "generator_version": "3.0"}
{"id": "v3_test_id_00000970", "prompt": "What value of x satisfies -10(x - 569) - 292 = 9(x + 3)?", "solution_steps": ["Expand: -10x + 5690 - 292 = 9(x + 3)", "Expand: -10x + 5690 - 292 = 9x + 27", "Combine constants: -10x + 5398 = 9x + 27", "Subtract 9x from both sides: -19x + 5398 = 27", "Subtract 5398 from both sides: -19x = -5371", "Divide both sides by -19: x = 5371/19"], "final_answer": "5371/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 569) - 292 = 9(x + 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 569, \"c\": 292, \"d\": 9, \"e\": 3}", "seed": "13319885656958748294", "semantic_fingerprint": "sha256:126067c6afba5bd96bb84536c668ee5971052f1dd32450383c8be4f3b5af2f08", "generator_version": "3.0"}
{"id": "v3_test_id_00000971", "prompt": "What value of x satisfies 12x = -6(x + 5)?", "solution_steps": ["Expand: 12x = -6x - 30", "Add 6x to both sides: 18x = -30", "Divide both sides by 18: x = -5/3"], "final_answer": "-5/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x = -6(x + 5)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -6, \"c\": 5}", "seed": "11911080314929699721", "semantic_fingerprint": "sha256:8edaf821b00592b9afe062454710971593f8acb15f10a81d208a300896fb4959", "generator_version": "3.0"}
{"id": "v3_test_id_00000972", "prompt": "What value of x satisfies 7x + 219 = 289?", "solution_steps": ["Subtract 219 from both sides: 7x = 70", "Divide both sides by 7: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 219 = 289", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 219, \"d\": 289, \"x\": 10}", "seed": "14899665537972541638", "semantic_fingerprint": "sha256:1902b82a7e09e5ab369a6ed61d9870a9d9ec98767c8754dd3317fea7f7005c7a", "generator_version": "3.0"}
{"id": "v3_test_id_00000973", "prompt": "Solve the equation -3x = -9x for x.", "solution_steps": ["Add 9x to both sides: 6x = 0", "Divide both sides by 6: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x = -9x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -9}", "seed": "17992645166830620452", "semantic_fingerprint": "sha256:4de0b3fb26b1976ddb312850fc9d55193a010cdedced7a3119cbf9322753e4df", "generator_version": "3.0"}
{"id": "v3_test_id_00000974", "prompt": "Evaluate: -4 * (-73)", "solution_steps": ["Multiply: -4 * (-73) = 292"], "final_answer": "292", "answer_type": "integer", "kind": "expression", "math_text": "-4 * (-73)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -73}", "seed": "5793139458115547607", "semantic_fingerprint": "sha256:1e80b937ce4ceeaf859782f33aaee5becb143ca766113e64b56ebe20690405c5", "generator_version": "3.0"}
{"id": "v3_test_id_00000975", "prompt": "Solve for x: -3(x + 616) = -10(x - 120) - 6", "solution_steps": ["Expand: -3x - 1848 = -10(x - 120) - 6", "Expand: -3x - 1848 = -10x + 1200 - 6", "Combine constants: -3x - 1848 = -10x + 1194", "Add 10x to both sides: 7x - 1848 = 1194", "Add 1848 to both sides: 7x = 3042", "Divide both sides by 7: x = 3042/7"], "final_answer": "3042/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x + 616) = -10(x - 120) - 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 616, \"c\": -10, \"d\": 120, \"e\": 6}", "seed": "12062679876382263986", "semantic_fingerprint": "sha256:40e5220daebfd1224e8060eb4565e0132b17c0a49c27bd62e629714a7260b8bd", "generator_version": "3.0"}
{"id": "v3_test_id_00000976", "prompt": "Compute: 4 * (-607) * (73 / (245 * (-9)))", "solution_steps": ["Multiply: 4 * (-607) = -2428", "Multiply: 245 * (-9) = -2205", "Divide: 73 / (-2205) = -73/2205", "Multiply: -2428 * (-73/2205) = 177244/2205"], "final_answer": "177244/2205", "answer_type": "rational", "kind": "expression", "math_text": "4 * (-607) * (73 / (245 * (-9)))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (/ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -607, \"c\": 73, \"d\": 245, \"e\": -9}", "seed": "10016355343686314529", "semantic_fingerprint": "sha256:073f5d3863ce15b64b02764062475aa81d58b351e5250d90ea2fc30aaf8ac4fa", "generator_version": "3.0"}
{"id": "v3_test_id_00000977", "prompt": "Compute: -28 + (-4) + 45 / (-598)", "solution_steps": ["Add: -28 + (-4) = -32", "Divide: 45 / (-598) = -45/598", "Add: -32 + (-45/598) = -19181/598"], "final_answer": "-19181/598", "answer_type": "rational", "kind": "expression", "math_text": "-28 + (-4) + 45 / (-598)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": -4, \"c\": 45, \"d\": -598}", "seed": "7505583171873721969", "semantic_fingerprint": "sha256:cc18137b350cc8ce410797e275454a2087fd1949692ca87276dfef3a2afbfa3a", "generator_version": "3.0"}
{"id": "v3_test_id_00000978", "prompt": "Solve the equation 5(x - 5) + 10 = 10x for x.", "solution_steps": ["Expand: 5x - 25 + 10 = 10x", "Combine constants: 5x - 15 = 10x", "Subtract 10x from both sides: -5x - 15 = 0", "Add 15 to both sides: -5x = 15", "Divide both sides by -5: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 5) + 10 = 10x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 5, \"c\": 10, \"e\": 10, \"x\": -3}", "seed": "3909252291522950986", "semantic_fingerprint": "sha256:2268c239a54dbdba07398e7cd87e7f704e37e028a8ea192f2a3a1f1fad7c1137", "generator_version": "3.0"}
{"id": "v3_test_id_00000979", "prompt": "What value of x satisfies 12x + 80 = x + 256?", "solution_steps": ["Subtract x from both sides: 11x + 80 = 256", "Subtract 80 from both sides: 11x = 176", "Divide both sides by 11: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 80 = x + 256", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 80, \"d\": 256, \"x\": 16}", "seed": "9239189660790163635", "semantic_fingerprint": "sha256:25e74d80758deb9aef3b7c0d4121affb94b0cae5b58b8a960c16fe3efffa0973", "generator_version": "3.0"}
{"id": "v3_test_id_00000980", "prompt": "Solve for x: 8x = 2x", "solution_steps": ["Subtract 2x from both sides: 6x = 0", "Divide both sides by 6: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 2x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2}", "seed": "11782460759265484309", "semantic_fingerprint": "sha256:e5bed4de0df44dc1fdb69ab16a1a71e814154fe4b2838c2dfb8a24fb50ac6edd", "generator_version": "3.0"}
{"id": "v3_test_id_00000981", "prompt": "Compute: -878 * 5 - (-8)", "solution_steps": ["Multiply: -878 * 5 = -4390", "Subtract: -4390 - (-8) = -4382"], "final_answer": "-4382", "answer_type": "integer", "kind": "expression", "math_text": "-878 * 5 - (-8)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -878, \"b\": 5, \"c\": -8}", "seed": "9345166875087509561", "semantic_fingerprint": "sha256:bb769d207abe1f139167f6fd4515496f720d8544525fc4face34dd3773334a87", "generator_version": "3.0"}
{"id": "v3_test_id_00000982", "prompt": "Calculate: (108 + (-233) - (-362)) / (137 - (-54)) * (-71)", "solution_steps": ["Add: 108 + (-233) = -125", "Subtract: -125 - (-362) = 237", "Subtract: 137 - (-54) = 191", "Divide: 237 / 191 = 237/191", "Multiply: (237/191) * (-71) = -16827/191"], "final_answer": "-16827/191", "answer_type": "rational", "kind": "expression", "math_text": "(108 + (-233) - (-362)) / (137 - (-54)) * (-71)", "variable": null, "family": "expression_5op", "shape": "(* (/ (- (+ n n) n) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 108, \"b\": -233, \"c\": -362, \"d\": 137, \"e\": -54, \"f\": -71}", "seed": "5942616835498890412", "semantic_fingerprint": "sha256:57f5524fad2414b315a7aa2f3cfb67574844ac590154b694bc3038f5e4fab002", "generator_version": "3.0"}
{"id": "v3_test_id_00000983", "prompt": "What value of x satisfies x - 38 = 3x?", "solution_steps": ["Subtract 3x from both sides: -2x - 38 = 0", "Add 38 to both sides: -2x = 38", "Divide both sides by -2: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 38 = 3x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"c\": -38, \"x\": -19}", "seed": "9883386338867553790", "semantic_fingerprint": "sha256:1ba42cbeaa12d9a3aa0fc6a6f63d6007157ce6667b8808fbcd592dadc302f6ae", "generator_version": "3.0"}
{"id": "v3_test_id_00000984", "prompt": "Solve for x: -6(x - 9) = x + 214", "solution_steps": ["Expand: -6x + 54 = x + 214", "Subtract x from both sides: -7x + 54 = 214", "Subtract 54 from both sides: -7x = 160", "Divide both sides by -7: x = -160/7"], "final_answer": "-160/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x - 9) = x + 214", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 9, \"c\": 214}", "seed": "7856728390103403084", "semantic_fingerprint": "sha256:cb2b0eb6f719d6cb172f469b7a56282e390627718fc182bc2ddbd2ad023c6ade", "generator_version": "3.0"}
{"id": "v3_test_id_00000985", "prompt": "Calculate: 802 * 9", "solution_steps": ["Multiply: 802 * 9 = 7218"], "final_answer": "7218", "answer_type": "integer", "kind": "expression", "math_text": "802 * 9", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 802, \"b\": 9}", "seed": "8680905561923070491", "semantic_fingerprint": "sha256:09693d71b2020c90347757f668aa24adc00068ef93518d2224390e2e2faeae78", "generator_version": "3.0"}
{"id": "v3_test_id_00000986", "prompt": "Calculate: -815 + 2 + (74 / 873 + 590 + 64)", "solution_steps": ["Add: -815 + 2 = -813", "Divide: 74 / 873 = 74/873", "Add: 74/873 + 590 = 515144/873", "Add: 515144/873 + 64 = 571016/873", "Add: -813 + 571016/873 = -138733/873"], "final_answer": "-138733/873", "answer_type": "rational", "kind": "expression", "math_text": "-815 + 2 + (74 / 873 + 590 + 64)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (+ (+ (/ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -815, \"b\": 2, \"c\": 74, \"d\": 873, \"e\": 590, \"f\": 64}", "seed": "4716617531645892507", "semantic_fingerprint": "sha256:f13bbf1360875274c76dfcaa9c00e43df9db6acb385d354874c9bd887aa1ea45", "generator_version": "3.0"}
{"id": "v3_test_id_00000987", "prompt": "Compute: -191 / (-58 - (-8))", "solution_steps": ["Subtract: -58 - (-8) = -50", "Divide: -191 / (-50) = 191/50"], "final_answer": "191/50", "answer_type": "rational", "kind": "expression", "math_text": "-191 / (-58 - (-8))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -191, \"b\": -58, \"c\": -8}", "seed": "1464818450023824140", "semantic_fingerprint": "sha256:62b4da408eddea39d6105be5a403d7c7327ff183532d0e4de8f5e1ce596e0e36", "generator_version": "3.0"}
{"id": "v3_test_id_00000988", "prompt": "What is 76 - 3 - (-10 * 63 + (-13))?", "solution_steps": ["Subtract: 76 - 3 = 73", "Multiply: -10 * 63 = -630", "Add: -630 + (-13) = -643", "Subtract: 73 - (-643) = 716"], "final_answer": "716", "answer_type": "integer", "kind": "expression", "math_text": "76 - 3 - (-10 * 63 + (-13))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 3, \"c\": -10, \"d\": 63, \"e\": -13}", "seed": "4799571897758727092", "semantic_fingerprint": "sha256:b389d23bfe4949e28844bd8dc5b9eef153a46f42ffa1bf37db5dbaf31b33ca2d", "generator_version": "3.0"}
{"id": "v3_test_id_00000989", "prompt": "Find x: -9x = -10x - 12", "solution_steps": ["Add 10x to both sides: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x = -10x - 12", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -10, \"d\": -12, \"x\": -12}", "seed": "17592035136883510391", "semantic_fingerprint": "sha256:e04415bd672309048348790a811272757f726f3d9fcb4af7b77bf3e5f221f6c4", "generator_version": "3.0"}
{"id": "v3_test_id_00000990", "prompt": "Solve for x: -2(x + 823) + 8 = 7x - 9", "solution_steps": ["Expand: -2x - 1646 + 8 = 7x - 9", "Combine constants: -2x - 1638 = 7x - 9", "Subtract 7x from both sides: -9x - 1638 = -9", "Add 1638 to both sides: -9x = 1629", "Divide both sides by -9: x = -181"], "final_answer": "-181", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 823) + 8 = 7x - 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 823, \"c\": 8, \"d\": 7, \"e\": 9}", "seed": "11682438122753490535", "semantic_fingerprint": "sha256:4cd63490e496606e921b09a55d95bc9eb4e998038d27c5c184074d1e0973bf47", "generator_version": "3.0"}
{"id": "v3_test_id_00000991", "prompt": "Calculate: -80 - (-160) + (-95) - (-43) * (-7)", "solution_steps": ["Subtract: -80 - (-160) = 80", "Add: 80 + (-95) = -15", "Multiply: -43 * (-7) = 301", "Subtract: -15 - 301 = -316"], "final_answer": "-316", "answer_type": "integer", "kind": "expression", "math_text": "-80 - (-160) + (-95) - (-43) * (-7)", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": -160, \"c\": -95, \"d\": -43, \"e\": -7}", "seed": "7657615741180615442", "semantic_fingerprint": "sha256:5bf1e8dd6482b8bebf524e5ab70a529a5b7b9cc54d4db9aed2dac482d65e998a", "generator_version": "3.0"}
{"id": "v3_test_id_00000992", "prompt": "Evaluate: -329 / 26 / (-89)", "solution_steps": ["Divide: -329 / 26 = -329/26", "Divide: (-329/26) / (-89) = 329/2314"], "final_answer": "329/2314", "answer_type": "rational", "kind": "expression", "math_text": "-329 / 26 / (-89)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -329, \"b\": 26, \"c\": -89}", "seed": "8170011829532146212", "semantic_fingerprint": "sha256:898b6e7599a330f3329954f252f3bfe37ac67bd6fd1c984a373ab30d9e9acbcb", "generator_version": "3.0"}
{"id": "v3_test_id_00000993", "prompt": "What is -8 + (-56)?", "solution_steps": ["Add: -8 + (-56) = -64"], "final_answer": "-64", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (-56)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -56}", "seed": "7834303408204855294", "semantic_fingerprint": "sha256:327cd65fc510ead5100ec07e3a9585141d722811e952af592504f80e043a2f17", "generator_version": "3.0"}
{"id": "v3_test_id_00000994", "prompt": "Compute: -32 + (-2 + (1 + (-509)))", "solution_steps": ["Add: 1 + (-509) = -508", "Add: -2 + (-508) = -510", "Add: -32 + (-510) = -542"], "final_answer": "-542", "answer_type": "integer", "kind": "expression", "math_text": "-32 + (-2 + (1 + (-509)))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": -2, \"c\": 1, \"d\": -509}", "seed": "17020380007301104559", "semantic_fingerprint": "sha256:ca1d34d4f80612e724122e15fb3ce41d838e1b64c697e8ddebd4cbd1e852cfe1", "generator_version": "3.0"}
{"id": "v3_test_id_00000995", "prompt": "Compute: -6 * 4", "solution_steps": ["Multiply: -6 * 4 = -24"], "final_answer": "-24", "answer_type": "integer", "kind": "expression", "math_text": "-6 * 4", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 4}", "seed": "11218762790134444128", "semantic_fingerprint": "sha256:751ebf8ecf9481f754d5257d66ae51c40ecc61d9a05c2788386f613ad552eb3a", "generator_version": "3.0"}
{"id": "v3_test_id_00000996", "prompt": "Evaluate: -745 * 7", "solution_steps": ["Multiply: -745 * 7 = -5215"], "final_answer": "-5215", "answer_type": "integer", "kind": "expression", "math_text": "-745 * 7", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -745, \"b\": 7}", "seed": "7020625647640372455", "semantic_fingerprint": "sha256:e6d53d5c30a792c67e63c3b83a9d575cdb3b652ae68c7fd85e9d84a683151178", "generator_version": "3.0"}
{"id": "v3_test_id_00000997", "prompt": "Compute: -3 * (-2) / (-72 - (-97))", "solution_steps": ["Multiply: -3 * (-2) = 6", "Subtract: -72 - (-97) = 25", "Divide: 6 / 25 = 6/25"], "final_answer": "6/25", "answer_type": "rational", "kind": "expression", "math_text": "-3 * (-2) / (-72 - (-97))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -2, \"c\": -72, \"d\": -97}", "seed": "4883376238476938036", "semantic_fingerprint": "sha256:64dfd4ef58fea1ff4c8ffa08dd8fa3822b47e67c8cd3e5452d1d4e41a85d8fb0", "generator_version": "3.0"}
{"id": "v3_test_id_00000998", "prompt": "What is 995 - 80 / 3?", "solution_steps": ["Divide: 80 / 3 = 80/3", "Subtract: 995 - 80/3 = 2905/3"], "final_answer": "2905/3", "answer_type": "rational", "kind": "expression", "math_text": "995 - 80 / 3", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 995, \"b\": 80, \"c\": 3}", "seed": "5090476725010069638", "semantic_fingerprint": "sha256:524027838a283084270295b928b460d6047a3bd7e2012df640840bf86b8462bb", "generator_version": "3.0"}
{"id": "v3_test_id_00000999", "prompt": "Compute: 5 * (14 / (-463))", "solution_steps": ["Divide: 14 / (-463) = -14/463", "Multiply: 5 * (-14/463) = -70/463"], "final_answer": "-70/463", "answer_type": "rational", "kind": "expression", "math_text": "5 * (14 / (-463))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 14, \"c\": -463}", "seed": "4909088782120658331", "semantic_fingerprint": "sha256:e21cf1f9d19409df1825e55d348d3e864087f1f63b22ed26c60ffedca1f1e87f", "generator_version": "3.0"}
{"id": "v3_test_id_00001000", "prompt": "What value of x satisfies 3x = -8x + 220?", "solution_steps": ["Add 8x to both sides: 11x = 220", "Divide both sides by 11: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = -8x + 220", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -8, \"d\": 220, \"x\": 20}", "seed": "6587554235398296428", "semantic_fingerprint": "sha256:f2e9e8c6995e0dbc1e04364591ac525adaf27d19d7f4e14f2d6ab3985c1b8159", "generator_version": "3.0"}
{"id": "v3_test_id_00001001", "prompt": "Calculate: 526 * (-1)", "solution_steps": ["Multiply: 526 * (-1) = -526"], "final_answer": "-526", "answer_type": "integer", "kind": "expression", "math_text": "526 * (-1)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 526, \"b\": -1}", "seed": "1121749022163570115", "semantic_fingerprint": "sha256:a84da9afc34c5ffbb2e81c7213a7bebbdfd95a57a5b0a81ecb4d23b68d9723f0", "generator_version": "3.0"}
{"id": "v3_test_id_00001002", "prompt": "What value of x satisfies 3x - 4 = 9(x + 81) - 667?", "solution_steps": ["Expand: 3x - 4 = 9x + 729 - 667", "Combine constants: 3x - 4 = 9x + 62", "Subtract 9x from both sides: -6x - 4 = 62", "Add 4 to both sides: -6x = 66", "Divide both sides by -6: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 4 = 9(x + 81) - 667", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 4, \"c\": 9, \"d\": 81, \"f\": -667, \"x\": -11}", "seed": "12295534337392272272", "semantic_fingerprint": "sha256:f09bfe3f2eaf6940ddbe0fbdf22f13e10cbb2ec61e3428ca2de3b700349bcd06", "generator_version": "3.0"}
{"id": "v3_test_id_00001003", "prompt": "Evaluate: -630 - (-74 + (-941) * (-3))", "solution_steps": ["Multiply: -941 * (-3) = 2823", "Add: -74 + 2823 = 2749", "Subtract: -630 - 2749 = -3379"], "final_answer": "-3379", "answer_type": "integer", "kind": "expression", "math_text": "-630 - (-74 + (-941) * (-3))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -630, \"b\": -74, \"c\": -941, \"d\": -3}", "seed": "1550848158627407501", "semantic_fingerprint": "sha256:939cec08792ef4a7558901d45e6e64176d6bf241e647b2987bf1ece70b4c65b3", "generator_version": "3.0"}
{"id": "v3_test_id_00001004", "prompt": "Evaluate: -568 / (4 * 6 * (-5 + 990))", "solution_steps": ["Multiply: 4 * 6 = 24", "Add: -5 + 990 = 985", "Multiply: 24 * 985 = 23640", "Divide: -568 / 23640 = -71/2955"], "final_answer": "-71/2955", "answer_type": "rational", "kind": "expression", "math_text": "-568 / (4 * 6 * (-5 + 990))", "variable": null, "family": "expression_4op", "shape": "(/ n (* (* n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -568, \"b\": 4, \"c\": 6, \"d\": -5, \"e\": 990}", "seed": "17050686356018076661", "semantic_fingerprint": "sha256:2fb1d5676f414104eebee4308eb8b4ed66a5d52ab00c932509d091ad0ae523de", "generator_version": "3.0"}
{"id": "v3_test_id_00001005", "prompt": "Evaluate: -2 / (-3) + 437", "solution_steps": ["Divide: -2 / (-3) = 2/3", "Add: 2/3 + 437 = 1313/3"], "final_answer": "1313/3", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-3) + 437", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -3, \"c\": 437}", "seed": "16790075887037937642", "semantic_fingerprint": "sha256:65317585f0b7b642c8babb928f50b9a1661ae87f87e152ffbd6eccd7a3dde5cc", "generator_version": "3.0"}
{"id": "v3_test_id_00001006", "prompt": "What is -2 - (80 - 76) - 412 * 68?", "solution_steps": ["Subtract: 80 - 76 = 4", "Subtract: -2 - 4 = -6", "Multiply: 412 * 68 = 28016", "Subtract: -6 - 28016 = -28022"], "final_answer": "-28022", "answer_type": "integer", "kind": "expression", "math_text": "-2 - (80 - 76) - 412 * 68", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 80, \"c\": 76, \"d\": 412, \"e\": 68}", "seed": "14275475307517611721", "semantic_fingerprint": "sha256:39312d690ca88a578a7240c42185a565a4f6603a58f434c67b8735b77877b02f", "generator_version": "3.0"}
{"id": "v3_test_id_00001007", "prompt": "What is 8 * (750 * (-28))?", "solution_steps": ["Multiply: 750 * (-28) = -21000", "Multiply: 8 * (-21000) = -168000"], "final_answer": "-168000", "answer_type": "integer", "kind": "expression", "math_text": "8 * (750 * (-28))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 750, \"c\": -28}", "seed": "15073476027592147781", "semantic_fingerprint": "sha256:30614eca559fb47a09b00df2ee699915a17571eff33718c8547257795ab8608c", "generator_version": "3.0"}
{"id": "v3_test_id_00001008", "prompt": "Calculate: -4 * 63 - (393 - 96) + (-5)", "solution_steps": ["Multiply: -4 * 63 = -252", "Subtract: 393 - 96 = 297", "Subtract: -252 - 297 = -549", "Add: -549 + (-5) = -554"], "final_answer": "-554", "answer_type": "integer", "kind": "expression", "math_text": "-4 * 63 - (393 - 96) + (-5)", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 63, \"c\": 393, \"d\": 96, \"e\": -5}", "seed": "6650908863842388038", "semantic_fingerprint": "sha256:a4bd628d11431c06509889cf4ea8230b0656ac2196d5e8977500162cdb718ba7", "generator_version": "3.0"}
{"id": "v3_test_id_00001009", "prompt": "Solve for x: -12(x - 9) = -9(x + 28)", "solution_steps": ["Expand: -12x + 108 = -9(x + 28)", "Expand: -12x + 108 = -9x - 252", "Add 9x to both sides: -3x + 108 = -252", "Subtract 108 from both sides: -3x = -360", "Divide both sides by -3: x = 120"], "final_answer": "120", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 9) = -9(x + 28)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 9, \"c\": -9, \"d\": 28}", "seed": "15794044630201526218", "semantic_fingerprint": "sha256:12e1cbc302b8d19c102d2107ce1447481060f1cd971b7638498e53cc8354fcde", "generator_version": "3.0"}
{"id": "v3_test_id_00001010", "prompt": "Solve the equation 2(x - 51) + 57 = 3x for x.", "solution_steps": ["Expand: 2x - 102 + 57 = 3x", "Combine constants: 2x - 45 = 3x", "Subtract 3x from both sides: -x - 45 = 0", "Add 45 to both sides: -x = 45", "Divide both sides by -1: x = -45"], "final_answer": "-45", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 51) + 57 = 3x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 51, \"c\": 57, \"d\": 3}", "seed": "12550725169320265288", "semantic_fingerprint": "sha256:83659db1e562c72949d4a436524f318e7419448ceb324cf9e9ed5330bb791dfd", "generator_version": "3.0"}
{"id": "v3_test_id_00001011", "prompt": "Solve the equation x + 39 = 4x for x.", "solution_steps": ["Subtract 4x from both sides: -3x + 39 = 0", "Subtract 39 from both sides: -3x = -39", "Divide both sides by -3: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 39 = 4x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"c\": 39, \"x\": 13}", "seed": "2242211998060997026", "semantic_fingerprint": "sha256:879f049cfdb07c2728bbcf16a5d3691bd22658f64e0aec0a71f7f1311317d9c1", "generator_version": "3.0"}
{"id": "v3_test_id_00001012", "prompt": "Calculate: 95 + (-623 + (-2))", "solution_steps": ["Add: -623 + (-2) = -625", "Add: 95 + (-625) = -530"], "final_answer": "-530", "answer_type": "integer", "kind": "expression", "math_text": "95 + (-623 + (-2))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": -623, \"c\": -2}", "seed": "15482025938344975403", "semantic_fingerprint": "sha256:069e64eae9f531a00f8119a92ffac216e82554790a4a6a9e655a87b287793e73", "generator_version": "3.0"}
{"id": "v3_test_id_00001013", "prompt": "What is 305 / (-750 / 57)?", "solution_steps": ["Divide: -750 / 57 = -250/19", "Divide: 305 / (-250/19) = -1159/50"], "final_answer": "-1159/50", "answer_type": "rational", "kind": "expression", "math_text": "305 / (-750 / 57)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 305, \"b\": -750, \"c\": 57}", "seed": "15864053779702558592", "semantic_fingerprint": "sha256:d406888f5bf372a78b1b189662b3e7cfc7acb47a66c0a29570f0c67d163d0ecc", "generator_version": "3.0"}
{"id": "v3_test_id_00001014", "prompt": "Compute: 96 * (-32)", "solution_steps": ["Multiply: 96 * (-32) = -3072"], "final_answer": "-3072", "answer_type": "integer", "kind": "expression", "math_text": "96 * (-32)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": -32}", "seed": "4578147172412541219", "semantic_fingerprint": "sha256:38e967a9b5fe0da607727fcff46d2eeddb2aeb5108c25622b29cf9cc1bb84e60", "generator_version": "3.0"}
{"id": "v3_test_id_00001015", "prompt": "What value of x satisfies 10(x + 2) - 39 = 11(x - 6)?", "solution_steps": ["Expand: 10x + 20 - 39 = 11(x - 6)", "Expand: 10x + 20 - 39 = 11x - 66", "Combine constants: 10x - 19 = 11x - 66", "Subtract 11x from both sides: -x - 19 = -66", "Add 19 to both sides: -x = -47", "Divide both sides by -1: x = 47"], "final_answer": "47", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 2) - 39 = 11(x - 6)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": 39, \"d\": 11, \"e\": 6}", "seed": "2543549968168466218", "semantic_fingerprint": "sha256:b0a51ace4422ccd21c63b7e1f9c76b50343d52f3a0e4dc642fe246f1a5c1a0ad", "generator_version": "3.0"}
{"id": "v3_test_id_00001016", "prompt": "What is 67 + (-9) * 25?", "solution_steps": ["Multiply: -9 * 25 = -225", "Add: 67 + (-225) = -158"], "final_answer": "-158", "answer_type": "integer", "kind": "expression", "math_text": "67 + (-9) * 25", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": -9, \"c\": 25}", "seed": "14844540125630649663", "semantic_fingerprint": "sha256:64d642ba64a64d2333e4f16801540cdfc2813c918ac14d75adb0a600cde23b83", "generator_version": "3.0"}
{"id": "v3_test_id_00001017", "prompt": "What is 6 / 826?", "solution_steps": ["Divide: 6 / 826 = 3/413"], "final_answer": "3/413", "answer_type": "rational", "kind": "expression", "math_text": "6 / 826", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 826}", "seed": "17702649987080679797", "semantic_fingerprint": "sha256:4bd961821efc358df90ded9bdfd8ec42703e50cfc15b9f6c5022f80e8d9409b3", "generator_version": "3.0"}
{"id": "v3_test_id_00001018", "prompt": "Compute: 74 * (-88) * (-3)", "solution_steps": ["Multiply: 74 * (-88) = -6512", "Multiply: -6512 * (-3) = 19536"], "final_answer": "19536", "answer_type": "integer", "kind": "expression", "math_text": "74 * (-88) * (-3)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": -88, \"c\": -3}", "seed": "17175789620205358170", "semantic_fingerprint": "sha256:ef7ce98724f2358f97091282a7cbf80bdf2d2e89054ca2da63f85037016f88c6", "generator_version": "3.0"}
{"id": "v3_test_id_00001019", "prompt": "Evaluate: 52 - (-17)", "solution_steps": ["Subtract: 52 - (-17) = 69"], "final_answer": "69", "answer_type": "integer", "kind": "expression", "math_text": "52 - (-17)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 52, \"b\": -17}", "seed": "12857436572424638391", "semantic_fingerprint": "sha256:7c136d4ca966c2936422f69094d88c558661408935a001571019ca599d6e44c6", "generator_version": "3.0"}
{"id": "v3_test_id_00001020", "prompt": "Calculate: -8 + (-41)", "solution_steps": ["Add: -8 + (-41) = -49"], "final_answer": "-49", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (-41)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -41}", "seed": "16774144871093768736", "semantic_fingerprint": "sha256:519da1533034787cb16da26d85253cb1e37e7a0bff648f0d3b6b3a1d1ebbb255", "generator_version": "3.0"}
{"id": "v3_test_id_00001021", "prompt": "What is 0 - 96 + 26 / (-91 * (-564))?", "solution_steps": ["Subtract: 0 - 96 = -96", "Multiply: -91 * (-564) = 51324", "Divide: 26 / 51324 = 1/1974", "Add: -96 + 1/1974 = -189503/1974"], "final_answer": "-189503/1974", "answer_type": "rational", "kind": "expression", "math_text": "0 - 96 + 26 / (-91 * (-564))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (/ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 96, \"c\": 26, \"d\": -91, \"e\": -564}", "seed": "6020432221168626221", "semantic_fingerprint": "sha256:beaff1cd2f5d3671d1f36018eb926fba9153cb5b934721f5d81add7421581e34", "generator_version": "3.0"}
{"id": "v3_test_id_00001022", "prompt": "Find x: -8x = 2x - 5", "solution_steps": ["Subtract 2x from both sides: -10x = -5", "Divide both sides by -10: x = 1/2"], "final_answer": "1/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8x = 2x - 5", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 2, \"c\": 5}", "seed": "14226778342595306781", "semantic_fingerprint": "sha256:5f126634f80b9e2df2943dcbf99daa744c46fdcd9f7ebd74faf3b0179724e209", "generator_version": "3.0"}
{"id": "v3_test_id_00001023", "prompt": "Solve for x: x = 12(x + 6) + 53", "solution_steps": ["Expand: x = 12x + 72 + 53", "Combine constants: x = 12x + 125", "Subtract 12x from both sides: -11x = 125", "Divide both sides by -11: x = -125/11"], "final_answer": "-125/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 12(x + 6) + 53", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 6, \"c\": 53}", "seed": "8725865601119795541", "semantic_fingerprint": "sha256:3347c18a3e1eb9016aa043fa21c4d41b341b27795c61ecef1a689957015f3f47", "generator_version": "3.0"}
{"id": "v3_test_id_00001024", "prompt": "Calculate: 820 / (-173 / (-2)) + 44 + 74", "solution_steps": ["Divide: -173 / (-2) = 173/2", "Divide: 820 / (173/2) = 1640/173", "Add: 1640/173 + 44 = 9252/173", "Add: 9252/173 + 74 = 22054/173"], "final_answer": "22054/173", "answer_type": "rational", "kind": "expression", "math_text": "820 / (-173 / (-2)) + 44 + 74", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 820, \"b\": -173, \"c\": -2, \"d\": 44, \"e\": 74}", "seed": "16825646662353536997", "semantic_fingerprint": "sha256:12ce2dfe6ffebd835416e30db65638e728eab0c7c2b0623352a2235baa1587d9", "generator_version": "3.0"}
{"id": "v3_test_id_00001025", "prompt": "What is -969 / (-26 / 4)?", "solution_steps": ["Divide: -26 / 4 = -13/2", "Divide: -969 / (-13/2) = 1938/13"], "final_answer": "1938/13", "answer_type": "rational", "kind": "expression", "math_text": "-969 / (-26 / 4)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -969, \"b\": -26, \"c\": 4}", "seed": "11947151523815750531", "semantic_fingerprint": "sha256:a354d14dbc67720107d50709ce786cbe9282a07daa67f1c379ae25b93a9c77cb", "generator_version": "3.0"}
{"id": "v3_test_id_00001026", "prompt": "Compute: -2 * (-90)", "solution_steps": ["Multiply: -2 * (-90) = 180"], "final_answer": "180", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (-90)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -90}", "seed": "8602741170298320917", "semantic_fingerprint": "sha256:7de1bab27ce9e556e3954c9f9fef1a95cab07a3f568123bca1947d2691a96106", "generator_version": "3.0"}
{"id": "v3_test_id_00001027", "prompt": "Solve for x: 2x - 490 = 9(x - 76) + 180", "solution_steps": ["Expand: 2x - 490 = 9x - 684 + 180", "Combine constants: 2x - 490 = 9x - 504", "Subtract 9x from both sides: -7x - 490 = -504", "Add 490 to both sides: -7x = -14", "Divide both sides by -7: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 490 = 9(x - 76) + 180", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 490, \"c\": 9, \"d\": 76, \"f\": 180, \"x\": 2}", "seed": "13264954992598176806", "semantic_fingerprint": "sha256:b5cfce97c314ad1504c2a6a9fa6df6b9d4539a11e19ac95dec6d396e2fe28833", "generator_version": "3.0"}
{"id": "v3_test_id_00001028", "prompt": "What value of x satisfies x + 60 = 6x?", "solution_steps": ["Subtract 6x from both sides: -5x + 60 = 0", "Subtract 60 from both sides: -5x = -60", "Divide both sides by -5: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 60 = 6x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"c\": 60, \"x\": 12}", "seed": "2884760330642750413", "semantic_fingerprint": "sha256:c421ee74477f85e0b3f4a9ddab42c2f4b9b655895fb6ff8b336c0372abc20ad6", "generator_version": "3.0"}
{"id": "v3_test_id_00001029", "prompt": "What value of x satisfies 5x = x?", "solution_steps": ["Subtract x from both sides: 4x = 0", "Divide both sides by 4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5}", "seed": "15651016210016183722", "semantic_fingerprint": "sha256:35b1fcde5791038ba0a73aa7189e5ea79cf1c35ae54b87078ad2e9fd4f016d88", "generator_version": "3.0"}
{"id": "v3_test_id_00001030", "prompt": "Find x: -10(x + 56) + 570 = -8(x + 2)", "solution_steps": ["Expand: -10x - 560 + 570 = -8(x + 2)", "Expand: -10x - 560 + 570 = -8x - 16", "Combine constants: -10x + 10 = -8x - 16", "Add 8x to both sides: -2x + 10 = -16", "Subtract 10 from both sides: -2x = -26", "Divide both sides by -2: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 56) + 570 = -8(x + 2)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 56, \"c\": -8, \"d\": 2, \"f\": 570, \"x\": 13}", "seed": "10807790554372286516", "semantic_fingerprint": "sha256:54b13124fa079a9813009aebf1e54f84d5654654c34bca66dc7a5c3594ee3f40", "generator_version": "3.0"}
{"id": "v3_test_id_00001031", "prompt": "Compute: 5 - (-3) / 42", "solution_steps": ["Divide: -3 / 42 = -1/14", "Subtract: 5 - (-1/14) = 71/14"], "final_answer": "71/14", "answer_type": "rational", "kind": "expression", "math_text": "5 - (-3) / 42", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -3, \"c\": 42}", "seed": "18392571114708345906", "semantic_fingerprint": "sha256:d6eaa11399dcc638045f61619eeaec1e72045daec4a0943c941410a7c32e33ca", "generator_version": "3.0"}
{"id": "v3_test_id_00001032", "prompt": "What is (4 + (-4)) * (2 * (-233 / (9 / (-32))))?", "solution_steps": ["Add: 4 + (-4) = 0", "Divide: 9 / (-32) = -9/32", "Divide: -233 / (-9/32) = 7456/9", "Multiply: 2 * (7456/9) = 14912/9", "Multiply: 0 * (14912/9) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(4 + (-4)) * (2 * (-233 / (9 / (-32))))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (* n (/ n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -4, \"c\": 2, \"d\": -233, \"e\": 9, \"f\": -32}", "seed": "2222857452061252307", "semantic_fingerprint": "sha256:56db8685e183980a58cd0da3c5bf88fd8cfdd0ab773b736e1676d4f870f53aac", "generator_version": "3.0"}
{"id": "v3_test_id_00001033", "prompt": "Solve for x: 10x + 4 = 4x + 69", "solution_steps": ["Subtract 4x from both sides: 6x + 4 = 69", "Subtract 4 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": "10x + 4 = 4x + 69", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 4, \"c\": 4, \"d\": 69}", "seed": "901343846335939030", "semantic_fingerprint": "sha256:10c0370a443d46d2761903776a61c12854af7afbfca020138d8e06e6307663ba", "generator_version": "3.0"}
{"id": "v3_test_id_00001034", "prompt": "What is ((6 - (-670)) / 9 - (-49)) * (-51 - 740)?", "solution_steps": ["Subtract: 6 - (-670) = 676", "Divide: 676 / 9 = 676/9", "Subtract: 676/9 - (-49) = 1117/9", "Subtract: -51 - 740 = -791", "Multiply: (1117/9) * (-791) = -883547/9"], "final_answer": "-883547/9", "answer_type": "rational", "kind": "expression", "math_text": "((6 - (-670)) / 9 - (-49)) * (-51 - 740)", "variable": null, "family": "expression_5op", "shape": "(* (- (/ (- n n) n) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -670, \"c\": 9, \"d\": -49, \"e\": -51, \"f\": 740}", "seed": "633504943092974226", "semantic_fingerprint": "sha256:84c52e3daf4cc7776fec12f59a2050ae5689d1bf8e54848860477060472757fc", "generator_version": "3.0"}
{"id": "v3_test_id_00001035", "prompt": "Compute: 78 + (-72 + (68 - (-64)))", "solution_steps": ["Subtract: 68 - (-64) = 132", "Add: -72 + 132 = 60", "Add: 78 + 60 = 138"], "final_answer": "138", "answer_type": "integer", "kind": "expression", "math_text": "78 + (-72 + (68 - (-64)))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": -72, \"c\": 68, \"d\": -64}", "seed": "7226297889035096072", "semantic_fingerprint": "sha256:55a7399fbb6dbcd2b1388242a4efdba1346137c375388703c0d08481366a8489", "generator_version": "3.0"}
{"id": "v3_test_id_00001036", "prompt": "Evaluate: -70 + 2", "solution_steps": ["Add: -70 + 2 = -68"], "final_answer": "-68", "answer_type": "integer", "kind": "expression", "math_text": "-70 + 2", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": 2}", "seed": "16336148520478302916", "semantic_fingerprint": "sha256:df4736844966d9f7fa1f5d043b3e62cc11fb806da644d00e85bff22c72636e21", "generator_version": "3.0"}
{"id": "v3_test_id_00001037", "prompt": "Evaluate: -66 + (-656 - (-922) - 21 - 30)", "solution_steps": ["Subtract: -656 - (-922) = 266", "Subtract: 266 - 21 = 245", "Subtract: 245 - 30 = 215", "Add: -66 + 215 = 149"], "final_answer": "149", "answer_type": "integer", "kind": "expression", "math_text": "-66 + (-656 - (-922) - 21 - 30)", "variable": null, "family": "expression_4op", "shape": "(+ n (- (- (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": -656, \"c\": -922, \"d\": 21, \"e\": 30}", "seed": "1670863922119003433", "semantic_fingerprint": "sha256:d88dac6f56a8be71476f199ef845d242d4ec79627f17533a193753e0321e9db7", "generator_version": "3.0"}
{"id": "v3_test_id_00001038", "prompt": "Calculate: -79 + (-38 + (-249))", "solution_steps": ["Add: -38 + (-249) = -287", "Add: -79 + (-287) = -366"], "final_answer": "-366", "answer_type": "integer", "kind": "expression", "math_text": "-79 + (-38 + (-249))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": -38, \"c\": -249}", "seed": "13726163131647329310", "semantic_fingerprint": "sha256:413a43c5d7367d7108ad705b015a2f70e74f1648772e45cffe42ec6b638bda85", "generator_version": "3.0"}
{"id": "v3_test_id_00001039", "prompt": "Evaluate: -3 * (924 - 51)", "solution_steps": ["Subtract: 924 - 51 = 873", "Multiply: -3 * 873 = -2619"], "final_answer": "-2619", "answer_type": "integer", "kind": "expression", "math_text": "-3 * (924 - 51)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 924, \"c\": 51}", "seed": "3819373914378574971", "semantic_fingerprint": "sha256:ad613703ff9550f4cfc2c0356e63ea6b0dc900622487347e14d538011e86261b", "generator_version": "3.0"}
{"id": "v3_test_id_00001040", "prompt": "Compute: 39 - (-897) / (-898)", "solution_steps": ["Divide: -897 / (-898) = 897/898", "Subtract: 39 - 897/898 = 34125/898"], "final_answer": "34125/898", "answer_type": "rational", "kind": "expression", "math_text": "39 - (-897) / (-898)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": -897, \"c\": -898}", "seed": "17876679805820998991", "semantic_fingerprint": "sha256:211a80b2b0264251dee1e101c5da440ba7077db023e50ec0102da467777a2b76", "generator_version": "3.0"}
{"id": "v3_test_id_00001041", "prompt": "What value of x satisfies -7(x + 36) + 30 = -12(x + 22) + 107?", "solution_steps": ["Expand: -7x - 252 + 30 = -12(x + 22) + 107", "Expand: -7x - 252 + 30 = -12x - 264 + 107", "Combine constants: -7x - 222 = -12x - 264 + 107", "Combine constants: -7x - 222 = -12x - 157", "Add 12x to both sides: 5x - 222 = -157", "Add 222 to both sides: 5x = 65", "Divide both sides by 5: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 36) + 30 = -12(x + 22) + 107", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 36, \"c\": 30, \"d\": -12, \"e\": 22, \"g\": 107, \"x\": 13}", "seed": "15113827210217504547", "semantic_fingerprint": "sha256:43485ee3ef3beb14f6225e33b06adf7889e1c3fa8c126373afd87c417d386a33", "generator_version": "3.0"}
{"id": "v3_test_id_00001042", "prompt": "Find x: x + 27 = 8(x + 6) - 13", "solution_steps": ["Expand: x + 27 = 8x + 48 - 13", "Combine constants: x + 27 = 8x + 35", "Subtract 8x from both sides: -7x + 27 = 35", "Subtract 27 from both sides: -7x = 8", "Divide both sides by -7: x = -8/7"], "final_answer": "-8/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 27 = 8(x + 6) - 13", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": 8, \"c\": 6, \"d\": 13}", "seed": "7469128377420617616", "semantic_fingerprint": "sha256:b105d8a0183f3896b6eb06aaff2d5c6427b5d1a7374b0c97330cf2372bca9f49", "generator_version": "3.0"}
{"id": "v3_test_id_00001043", "prompt": "Calculate: (-9 - 86) / 5 - (-4 + (-8))", "solution_steps": ["Subtract: -9 - 86 = -95", "Divide: -95 / 5 = -19", "Add: -4 + (-8) = -12", "Subtract: -19 - (-12) = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "expression", "math_text": "(-9 - 86) / 5 - (-4 + (-8))", "variable": null, "family": "expression_4op", "shape": "(- (/ (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 86, \"c\": 5, \"d\": -4, \"e\": -8}", "seed": "16391713630799049710", "semantic_fingerprint": "sha256:dc748388cd60d9b1e7588f1b1a38002b9c9c3601ed4f5dabf35e4bff404a7c55", "generator_version": "3.0"}
{"id": "v3_test_id_00001044", "prompt": "Find x: x + 70 = -10(x + 42) + 655", "solution_steps": ["Expand: x + 70 = -10x - 420 + 655", "Combine constants: x + 70 = -10x + 235", "Add 10x to both sides: 11x + 70 = 235", "Subtract 70 from both sides: 11x = 165", "Divide both sides by 11: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 70 = -10(x + 42) + 655", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": -10, \"c\": 42, \"e\": 655, \"x\": 15}", "seed": "7996516498916362453", "semantic_fingerprint": "sha256:42f70f61a680605b53d5ebad2bdf0db81e070d0eaead5d66368ae682ea44fca6", "generator_version": "3.0"}
{"id": "v3_test_id_00001045", "prompt": "Calculate: -359 + 22 - (-688) * 52", "solution_steps": ["Add: -359 + 22 = -337", "Multiply: -688 * 52 = -35776", "Subtract: -337 - (-35776) = 35439"], "final_answer": "35439", "answer_type": "integer", "kind": "expression", "math_text": "-359 + 22 - (-688) * 52", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -359, \"b\": 22, \"c\": -688, \"d\": 52}", "seed": "14267770364232884459", "semantic_fingerprint": "sha256:58d4bd1431527e3de859050254968e98916a240644ad3646f66b7d65184d2ae6", "generator_version": "3.0"}
{"id": "v3_test_id_00001046", "prompt": "Compute: -91 * (77 + (-968)) / 3", "solution_steps": ["Add: 77 + (-968) = -891", "Multiply: -91 * (-891) = 81081", "Divide: 81081 / 3 = 27027"], "final_answer": "27027", "answer_type": "integer", "kind": "expression", "math_text": "-91 * (77 + (-968)) / 3", "variable": null, "family": "expression_3op", "shape": "(/ (* n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": 77, \"c\": -968, \"d\": 3}", "seed": "1425736322687625616", "semantic_fingerprint": "sha256:0a9284917c9dfc67154bb703361af1dbf11f759f7a9eb60fe7f932c9f8683820", "generator_version": "3.0"}
{"id": "v3_test_id_00001047", "prompt": "Compute: 0 / (487 + (-85)) / 35", "solution_steps": ["Add: 487 + (-85) = 402", "Divide: 0 / 402 = 0", "Divide: 0 / 35 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (487 + (-85)) / 35", "variable": null, "family": "expression_3op", "shape": "(/ (/ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 487, \"c\": -85, \"d\": 35}", "seed": "4910120680984332757", "semantic_fingerprint": "sha256:da2d103d5a811258296fef0b0d305b5fff27efc8e2d9f6b56f2aff9e1840aef8", "generator_version": "3.0"}
{"id": "v3_test_id_00001048", "prompt": "Calculate: 1 * 84 - (0 + (-8) * 8)", "solution_steps": ["Multiply: 1 * 84 = 84", "Multiply: -8 * 8 = -64", "Add: 0 + (-64) = -64", "Subtract: 84 - (-64) = 148"], "final_answer": "148", "answer_type": "integer", "kind": "expression", "math_text": "1 * 84 - (0 + (-8) * 8)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (+ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 84, \"c\": 0, \"d\": -8, \"e\": 8}", "seed": "4360555802711595028", "semantic_fingerprint": "sha256:c4c381bfec60a40d328aa9a906493b08e309e4fca25e59d99fe4f5284a41df84", "generator_version": "3.0"}
{"id": "v3_test_id_00001049", "prompt": "Evaluate: (-97 - (-4) / 83) / (-47) - (-95 - (-7))", "solution_steps": ["Divide: -4 / 83 = -4/83", "Subtract: -97 - (-4/83) = -8047/83", "Divide: (-8047/83) / (-47) = 8047/3901", "Subtract: -95 - (-7) = -88", "Subtract: 8047/3901 - (-88) = 351335/3901"], "final_answer": "351335/3901", "answer_type": "rational", "kind": "expression", "math_text": "(-97 - (-4) / 83) / (-47) - (-95 - (-7))", "variable": null, "family": "expression_5op", "shape": "(- (/ (- n (/ n n)) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": -4, \"c\": 83, \"d\": -47, \"e\": -95, \"f\": -7}", "seed": "4742053320165014531", "semantic_fingerprint": "sha256:dc6a7594ec7b5638c3e5831f85f6686080a6d23a60a91d00c4ed2fcb26e1d302", "generator_version": "3.0"}
{"id": "v3_test_id_00001050", "prompt": "Find x: -11x - 1 = x - 61", "solution_steps": ["Subtract x from both sides: -12x - 1 = -61", "Add 1 to both sides: -12x = -60", "Divide both sides by -12: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 1 = x - 61", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 1, \"d\": -61, \"x\": 5}", "seed": "17785723373297979981", "semantic_fingerprint": "sha256:292ba50212fb9701067c569b35b67550ccf3a8bbd9fb7f9125893e3c4a8b7060", "generator_version": "3.0"}
{"id": "v3_test_id_00001051", "prompt": "Evaluate: (24 + (-88)) / (-90 / (851 + (-69)) + (-7))", "solution_steps": ["Add: 24 + (-88) = -64", "Add: 851 + (-69) = 782", "Divide: -90 / 782 = -45/391", "Add: -45/391 + (-7) = -2782/391", "Divide: -64 / (-2782/391) = 12512/1391"], "final_answer": "12512/1391", "answer_type": "rational", "kind": "expression", "math_text": "(24 + (-88)) / (-90 / (851 + (-69)) + (-7))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (+ (/ n (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": -88, \"c\": -90, \"d\": 851, \"e\": -69, \"f\": -7}", "seed": "4428098511370302332", "semantic_fingerprint": "sha256:2a2c5b570615055d4de090e4427ed03a618e1469de7af99caf9568a2ea4f07f6", "generator_version": "3.0"}
{"id": "v3_test_id_00001052", "prompt": "Calculate: -175 + (-76 + (-5))", "solution_steps": ["Add: -76 + (-5) = -81", "Add: -175 + (-81) = -256"], "final_answer": "-256", "answer_type": "integer", "kind": "expression", "math_text": "-175 + (-76 + (-5))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -175, \"b\": -76, \"c\": -5}", "seed": "10372658903221510570", "semantic_fingerprint": "sha256:107c0d2d5d4a78ee540061a41467069e6f4befa02de6ae4822b2cff13d9733a5", "generator_version": "3.0"}
{"id": "v3_test_id_00001053", "prompt": "What is 37 + (-90) - 388?", "solution_steps": ["Add: 37 + (-90) = -53", "Subtract: -53 - 388 = -441"], "final_answer": "-441", "answer_type": "integer", "kind": "expression", "math_text": "37 + (-90) - 388", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": -90, \"c\": 388}", "seed": "16264316293095785682", "semantic_fingerprint": "sha256:d140cce293f9278302abc446a904ee525a66175d5412312dc65f8b70adf7abbd", "generator_version": "3.0"}
{"id": "v3_test_id_00001054", "prompt": "What is 8 - (-57) + (-3 + 770 / (-358))?", "solution_steps": ["Subtract: 8 - (-57) = 65", "Divide: 770 / (-358) = -385/179", "Add: -3 + (-385/179) = -922/179", "Add: 65 + (-922/179) = 10713/179"], "final_answer": "10713/179", "answer_type": "rational", "kind": "expression", "math_text": "8 - (-57) + (-3 + 770 / (-358))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -57, \"c\": -3, \"d\": 770, \"e\": -358}", "seed": "1418245010001934650", "semantic_fingerprint": "sha256:97494945bb6bc1319c2b3d1aba3519247b995b4d77bd76affc817b4dc38f3b3a", "generator_version": "3.0"}
{"id": "v3_test_id_00001055", "prompt": "What value of x satisfies 11(x - 76) + 641 = -2x?", "solution_steps": ["Expand: 11x - 836 + 641 = -2x", "Combine constants: 11x - 195 = -2x", "Add 2x to both sides: 13x - 195 = 0", "Add 195 to both sides: 13x = 195", "Divide both sides by 13: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 76) + 641 = -2x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 76, \"c\": -2, \"e\": 641, \"x\": 15}", "seed": "16480854661913932891", "semantic_fingerprint": "sha256:441564c32fe3d63b86eff77049c38feb34b5d256256bd06606c8dd00a23682ed", "generator_version": "3.0"}
{"id": "v3_test_id_00001056", "prompt": "Solve the equation 4(x - 3) - 30 = x for x.", "solution_steps": ["Expand: 4x - 12 - 30 = x", "Combine constants: 4x - 42 = x", "Subtract x from both sides: 3x - 42 = 0", "Add 42 to 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) - 30 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 3, \"d\": -30, \"x\": 14}", "seed": "14126960180713744681", "semantic_fingerprint": "sha256:50544ec298a6d6e06d558dc81651ebabe7c656f09ed8435c4bf5145e6e76416c", "generator_version": "3.0"}
{"id": "v3_test_id_00001057", "prompt": "Find x: x - 667 = 0", "solution_steps": ["Add 667 to both sides: x = 667"], "final_answer": "667", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 667 = 0", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 667, \"b\": 0}", "seed": "5458647031166625735", "semantic_fingerprint": "sha256:835b6c9ea24903f913e9df51c1c6c0c527279cd2d7bc09f69340468298bf25ec", "generator_version": "3.0"}
{"id": "v3_test_id_00001058", "prompt": "What is (-775 + (-51)) * 45?", "solution_steps": ["Add: -775 + (-51) = -826", "Multiply: -826 * 45 = -37170"], "final_answer": "-37170", "answer_type": "integer", "kind": "expression", "math_text": "(-775 + (-51)) * 45", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -775, \"b\": -51, \"c\": 45}", "seed": "1104580218178854029", "semantic_fingerprint": "sha256:b7c181e718508c34e86bbb32d47742ad47c39d8f8cac3bfdda03e5091ca0ea34", "generator_version": "3.0"}
{"id": "v3_test_id_00001059", "prompt": "Evaluate: 1 / (-40 / (-96) * (-21) * (-17))", "solution_steps": ["Divide: -40 / (-96) = 5/12", "Multiply: (5/12) * (-21) = -35/4", "Multiply: (-35/4) * (-17) = 595/4", "Divide: 1 / (595/4) = 4/595"], "final_answer": "4/595", "answer_type": "rational", "kind": "expression", "math_text": "1 / (-40 / (-96) * (-21) * (-17))", "variable": null, "family": "expression_4op", "shape": "(/ n (* (* (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -40, \"c\": -96, \"d\": -21, \"e\": -17}", "seed": "3722895570705964829", "semantic_fingerprint": "sha256:e0e38e4d656d833b68481dfb3bfff4dec0863c926537c3ab7f4f8618a6eb98d9", "generator_version": "3.0"}
{"id": "v3_test_id_00001060", "prompt": "Calculate: -540 / 23 - (-89) * (-324) + (-46)", "solution_steps": ["Divide: -540 / 23 = -540/23", "Multiply: -89 * (-324) = 28836", "Subtract: -540/23 - 28836 = -663768/23", "Add: -663768/23 + (-46) = -664826/23"], "final_answer": "-664826/23", "answer_type": "rational", "kind": "expression", "math_text": "-540 / 23 - (-89) * (-324) + (-46)", "variable": null, "family": "expression_4op", "shape": "(+ (- (/ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -540, \"b\": 23, \"c\": -89, \"d\": -324, \"e\": -46}", "seed": "6704070600314921959", "semantic_fingerprint": "sha256:b72e88fb07183a311549686fadbc1b9d1ff8dab6ae38868db4fd19d293e151cf", "generator_version": "3.0"}
{"id": "v3_test_id_00001061", "prompt": "Evaluate: 8 + (17 + (-1) * 0)", "solution_steps": ["Multiply: -1 * 0 = 0", "Add: 17 + 0 = 17", "Add: 8 + 17 = 25"], "final_answer": "25", "answer_type": "integer", "kind": "expression", "math_text": "8 + (17 + (-1) * 0)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 17, \"c\": -1, \"d\": 0}", "seed": "7593136526919393230", "semantic_fingerprint": "sha256:ce2e18b63164a183c4d814225001128ab980539c17aaabdf63bbb081b7793d0c", "generator_version": "3.0"}
{"id": "v3_test_id_00001062", "prompt": "What value of x satisfies 8(x + 750) = x?", "solution_steps": ["Expand: 8x + 6000 = x", "Subtract x from both sides: 7x + 6000 = 0", "Subtract 6000 from both sides: 7x = -6000", "Divide both sides by 7: x = -6000/7"], "final_answer": "-6000/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 750) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 750}", "seed": "7982365569725606475", "semantic_fingerprint": "sha256:fdc790ecc91fe67a2aeb49fe5914f9c5c5befcf6effe14439e9a409873523e02", "generator_version": "3.0"}
{"id": "v3_test_id_00001063", "prompt": "What value of x satisfies 8(x + 71) = 11(x + 44)?", "solution_steps": ["Expand: 8x + 568 = 11(x + 44)", "Expand: 8x + 568 = 11x + 484", "Subtract 11x from both sides: -3x + 568 = 484", "Subtract 568 from both sides: -3x = -84", "Divide both sides by -3: x = 28"], "final_answer": "28", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 71) = 11(x + 44)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 71, \"c\": 11, \"d\": 44}", "seed": "15315980221487112099", "semantic_fingerprint": "sha256:e75408c99f5b1a8061cde2589e93a86f886c75633accbde66c97b6c65252d188", "generator_version": "3.0"}
{"id": "v3_test_id_00001064", "prompt": "What value of x satisfies -9(x + 9) = 9(x - 56)?", "solution_steps": ["Expand: -9x - 81 = 9(x - 56)", "Expand: -9x - 81 = 9x - 504", "Subtract 9x from both sides: -18x - 81 = -504", "Add 81 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": "-9(x + 9) = 9(x - 56)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 9, \"c\": 9, \"d\": 56}", "seed": "13863724948753348348", "semantic_fingerprint": "sha256:2824577d84cfb8e1a562b3503542f78200014cbb70ee13472bf0684d2837d53d", "generator_version": "3.0"}
{"id": "v3_test_id_00001065", "prompt": "What is (7 - (-90) + (-219)) / (-64 + (-20) * (-93))?", "solution_steps": ["Subtract: 7 - (-90) = 97", "Add: 97 + (-219) = -122", "Multiply: -20 * (-93) = 1860", "Add: -64 + 1860 = 1796", "Divide: -122 / 1796 = -61/898"], "final_answer": "-61/898", "answer_type": "rational", "kind": "expression", "math_text": "(7 - (-90) + (-219)) / (-64 + (-20) * (-93))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- n n) n) (+ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -90, \"c\": -219, \"d\": -64, \"e\": -20, \"f\": -93}", "seed": "1216350689396939786", "semantic_fingerprint": "sha256:51e1a8abbc79ca1eb77f8c019ecf81b699d4086cb0760e1e9c2be9662df69f2f", "generator_version": "3.0"}
{"id": "v3_test_id_00001066", "prompt": "Calculate: -67 + 72", "solution_steps": ["Add: -67 + 72 = 5"], "final_answer": "5", "answer_type": "integer", "kind": "expression", "math_text": "-67 + 72", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": 72}", "seed": "17699913125783890784", "semantic_fingerprint": "sha256:712b2e0483de52943143b0d6346f3e03a0b75d5251c4ec43eb082f1ec62ef000", "generator_version": "3.0"}
{"id": "v3_test_id_00001067", "prompt": "Find x: 3(x + 97) = 5(x + 6) + 271", "solution_steps": ["Expand: 3x + 291 = 5(x + 6) + 271", "Expand: 3x + 291 = 5x + 30 + 271", "Combine constants: 3x + 291 = 5x + 301", "Subtract 5x from both sides: -2x + 291 = 301", "Subtract 291 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 + 97) = 5(x + 6) + 271", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 97, \"c\": 5, \"d\": 6, \"f\": 271, \"x\": -5}", "seed": "1968285772867648645", "semantic_fingerprint": "sha256:c0d2c4051b58c121678a7dc5002a16e37761883ed800912620159eefa8811fee", "generator_version": "3.0"}
{"id": "v3_test_id_00001068", "prompt": "What value of x satisfies x - 2 = 6(x + 69) - 481?", "solution_steps": ["Expand: x - 2 = 6x + 414 - 481", "Combine constants: x - 2 = 6x - 67", "Subtract 6x from both sides: -5x - 2 = -67", "Add 2 to both sides: -5x = -65", "Divide both sides by -5: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2 = 6(x + 69) - 481", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": 69, \"e\": -481, \"x\": 13}", "seed": "7744014263716162616", "semantic_fingerprint": "sha256:5c8233499c58f6d4c24041df73dc36007ca5448802ae5efaa36a1af499291b61", "generator_version": "3.0"}
{"id": "v3_test_id_00001069", "prompt": "Evaluate: 81 * 699", "solution_steps": ["Multiply: 81 * 699 = 56619"], "final_answer": "56619", "answer_type": "integer", "kind": "expression", "math_text": "81 * 699", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": 699}", "seed": "2571849630407387865", "semantic_fingerprint": "sha256:b7a2b85dc558ebc97c5f32c83cec39ea1e97f2d69b30727783070ef15c8f16b3", "generator_version": "3.0"}
{"id": "v3_test_id_00001070", "prompt": "What value of x satisfies 8(x + 54) + 89 = 2(x - 69) - 8?", "solution_steps": ["Expand: 8x + 432 + 89 = 2(x - 69) - 8", "Expand: 8x + 432 + 89 = 2x - 138 - 8", "Combine constants: 8x + 521 = 2x - 138 - 8", "Combine constants: 8x + 521 = 2x - 146", "Subtract 2x from both sides: 6x + 521 = -146", "Subtract 521 from both sides: 6x = -667", "Divide both sides by 6: x = -667/6"], "final_answer": "-667/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 54) + 89 = 2(x - 69) - 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 54, \"c\": 89, \"d\": 2, \"e\": 69, \"f\": 8}", "seed": "7325986459078777861", "semantic_fingerprint": "sha256:815f1de06d7c314e6e11e47440b0a06dc39edfd4ea7c034a6fdc616e673f8821", "generator_version": "3.0"}
{"id": "v3_test_id_00001071", "prompt": "Evaluate: -543 * 58 - 6", "solution_steps": ["Multiply: -543 * 58 = -31494", "Subtract: -31494 - 6 = -31500"], "final_answer": "-31500", "answer_type": "integer", "kind": "expression", "math_text": "-543 * 58 - 6", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -543, \"b\": 58, \"c\": 6}", "seed": "13369863795351445361", "semantic_fingerprint": "sha256:7286e3265570b863f6dcd8f9aa39ad879e2d3bbffd4c934a7ec739f20274911d", "generator_version": "3.0"}
{"id": "v3_test_id_00001072", "prompt": "What is 89 - (-48) + 4 - (-3) / (-8)?", "solution_steps": ["Subtract: 89 - (-48) = 137", "Add: 137 + 4 = 141", "Divide: -3 / (-8) = 3/8", "Subtract: 141 - 3/8 = 1125/8"], "final_answer": "1125/8", "answer_type": "rational", "kind": "expression", "math_text": "89 - (-48) + 4 - (-3) / (-8)", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": -48, \"c\": 4, \"d\": -3, \"e\": -8}", "seed": "864355930132813547", "semantic_fingerprint": "sha256:9ca37373f62b6123d310d509bac23f6364fe18242a2adbdec6c07cbba5867ef7", "generator_version": "3.0"}
{"id": "v3_test_id_00001073", "prompt": "Evaluate: -614 * (-36 / (-61))", "solution_steps": ["Divide: -36 / (-61) = 36/61", "Multiply: -614 * (36/61) = -22104/61"], "final_answer": "-22104/61", "answer_type": "rational", "kind": "expression", "math_text": "-614 * (-36 / (-61))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -614, \"b\": -36, \"c\": -61}", "seed": "10938123813056084907", "semantic_fingerprint": "sha256:027c92101e4f829ba560ff1e51a0a5ae7fc4bcc875fd0434d942015083137469", "generator_version": "3.0"}
{"id": "v3_test_id_00001074", "prompt": "Compute: 192 + 874", "solution_steps": ["Add: 192 + 874 = 1066"], "final_answer": "1066", "answer_type": "integer", "kind": "expression", "math_text": "192 + 874", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 192, \"b\": 874}", "seed": "6361842993455683265", "semantic_fingerprint": "sha256:3f0882d3df5f1f83478bb7a43ee6d84df8b2919133e2b9c98f2aa78c98a0f9d8", "generator_version": "3.0"}
{"id": "v3_test_id_00001075", "prompt": "Solve the equation 3x = 6(x - 665) for x.", "solution_steps": ["Expand: 3x = 6x - 3990", "Subtract 6x from both sides: -3x = -3990", "Divide both sides by -3: x = 1330"], "final_answer": "1330", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 6(x - 665)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": 665}", "seed": "5874960893039113508", "semantic_fingerprint": "sha256:c76781042f7129e5ab1d2c5035844946768bc22a475ae20687f52fe9e94ad71a", "generator_version": "3.0"}
{"id": "v3_test_id_00001076", "prompt": "Compute: -7 / (-80)", "solution_steps": ["Divide: -7 / (-80) = 7/80"], "final_answer": "7/80", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (-80)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -80}", "seed": "2195634144607301404", "semantic_fingerprint": "sha256:d442fd40c1d796c53f68ce6560c84cc0115b08e03c50ea5205bd28616ee6dc26", "generator_version": "3.0"}
{"id": "v3_test_id_00001077", "prompt": "What is 25 + 8?", "solution_steps": ["Add: 25 + 8 = 33"], "final_answer": "33", "answer_type": "integer", "kind": "expression", "math_text": "25 + 8", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": 8}", "seed": "12986599325342551644", "semantic_fingerprint": "sha256:71629f257908e7b861f0fec52b93e0e0b246401b285b21ecc682eb457196187a", "generator_version": "3.0"}
{"id": "v3_test_id_00001078", "prompt": "What is -5 / 600 * (55 / (-6) + 3)?", "solution_steps": ["Divide: -5 / 600 = -1/120", "Divide: 55 / (-6) = -55/6", "Add: -55/6 + 3 = -37/6", "Multiply: (-1/120) * (-37/6) = 37/720"], "final_answer": "37/720", "answer_type": "rational", "kind": "expression", "math_text": "-5 / 600 * (55 / (-6) + 3)", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 600, \"c\": 55, \"d\": -6, \"e\": 3}", "seed": "5732494541803856288", "semantic_fingerprint": "sha256:05b59c2a3979d4fc74d84868c02eee5be5604d72027f7fb306db2d352abbad60", "generator_version": "3.0"}
{"id": "v3_test_id_00001079", "prompt": "Solve for x: 8(x - 988) + 701 = 10(x - 3) - 7", "solution_steps": ["Expand: 8x - 7904 + 701 = 10(x - 3) - 7", "Expand: 8x - 7904 + 701 = 10x - 30 - 7", "Combine constants: 8x - 7203 = 10x - 30 - 7", "Combine constants: 8x - 7203 = 10x - 37", "Subtract 10x from both sides: -2x - 7203 = -37", "Add 7203 to both sides: -2x = 7166", "Divide both sides by -2: x = -3583"], "final_answer": "-3583", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 988) + 701 = 10(x - 3) - 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 988, \"c\": 701, \"d\": 10, \"e\": 3, \"f\": 7}", "seed": "17558934938278561274", "semantic_fingerprint": "sha256:a0d3a90ceed827d42d6c2f605aea86c7d1f2a3eac516892d856ad8fd32c61b00", "generator_version": "3.0"}
{"id": "v3_test_id_00001080", "prompt": "Evaluate: (-5 - 60) * 30", "solution_steps": ["Subtract: -5 - 60 = -65", "Multiply: -65 * 30 = -1950"], "final_answer": "-1950", "answer_type": "integer", "kind": "expression", "math_text": "(-5 - 60) * 30", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 60, \"c\": 30}", "seed": "11796946467677774645", "semantic_fingerprint": "sha256:b4c5fdb2192500703178f5392991ed1df1f26fb0a3c093b2c3502d171fb99459", "generator_version": "3.0"}
{"id": "v3_test_id_00001081", "prompt": "Evaluate: 44 / (640 + 37) / (-8) + (-48)", "solution_steps": ["Add: 640 + 37 = 677", "Divide: 44 / 677 = 44/677", "Divide: (44/677) / (-8) = -11/1354", "Add: -11/1354 + (-48) = -65003/1354"], "final_answer": "-65003/1354", "answer_type": "rational", "kind": "expression", "math_text": "44 / (640 + 37) / (-8) + (-48)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (/ n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": 640, \"c\": 37, \"d\": -8, \"e\": -48}", "seed": "11256865467200070648", "semantic_fingerprint": "sha256:c1a4dffb3e1e444c39f318298c389188180bfe9dc01bf64812e18f0ee1b3d4b8", "generator_version": "3.0"}
{"id": "v3_test_id_00001082", "prompt": "Compute: 7 * 984", "solution_steps": ["Multiply: 7 * 984 = 6888"], "final_answer": "6888", "answer_type": "integer", "kind": "expression", "math_text": "7 * 984", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 984}", "seed": "109735755774725535", "semantic_fingerprint": "sha256:2d363032990bbcebea3a84c3d83eb3a5f3e952c5245d42020b4973d9d88a2781", "generator_version": "3.0"}
{"id": "v3_test_id_00001083", "prompt": "Calculate: 69 * (-399 / (2 - 357))", "solution_steps": ["Subtract: 2 - 357 = -355", "Divide: -399 / (-355) = 399/355", "Multiply: 69 * (399/355) = 27531/355"], "final_answer": "27531/355", "answer_type": "rational", "kind": "expression", "math_text": "69 * (-399 / (2 - 357))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": -399, \"c\": 2, \"d\": 357}", "seed": "16855907071327127758", "semantic_fingerprint": "sha256:d3f21ceb8e7d7e2fc5166c3ce9f1a736fbb8b8328d451d9a8a7356276b4efb92", "generator_version": "3.0"}
{"id": "v3_test_id_00001084", "prompt": "What value of x satisfies x + 519 = 6(x + 89)?", "solution_steps": ["Expand: x + 519 = 6x + 534", "Subtract 6x from both sides: -5x + 519 = 534", "Subtract 519 from both sides: -5x = 15", "Divide both sides by -5: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 519 = 6(x + 89)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 89, \"d\": 519, \"x\": -3}", "seed": "8562555226905192399", "semantic_fingerprint": "sha256:a314d79645ddc1e4e35eee49e27f6b80b6ae09e77f9e316c036990362730af0d", "generator_version": "3.0"}
{"id": "v3_test_id_00001085", "prompt": "Compute: -96 / (-882) * (-39) - 1", "solution_steps": ["Divide: -96 / (-882) = 16/147", "Multiply: (16/147) * (-39) = -208/49", "Subtract: -208/49 - 1 = -257/49"], "final_answer": "-257/49", "answer_type": "rational", "kind": "expression", "math_text": "-96 / (-882) * (-39) - 1", "variable": null, "family": "expression_3op", "shape": "(- (* (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": -882, \"c\": -39, \"d\": 1}", "seed": "5861517619902990431", "semantic_fingerprint": "sha256:99b362901a765dac716877d21184a6ebe5ef7dac190673aa927cf9627f27e917", "generator_version": "3.0"}
{"id": "v3_test_id_00001086", "prompt": "What is 685 / ((-163 - 967) / (-8))?", "solution_steps": ["Subtract: -163 - 967 = -1130", "Divide: -1130 / (-8) = 565/4", "Divide: 685 / (565/4) = 548/113"], "final_answer": "548/113", "answer_type": "rational", "kind": "expression", "math_text": "685 / ((-163 - 967) / (-8))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 685, \"b\": -163, \"c\": 967, \"d\": -8}", "seed": "1883290997048465965", "semantic_fingerprint": "sha256:9cbb85cf2706a750bef66b560bdc36611a1908bd7116c29b28ffc839b3f186be", "generator_version": "3.0"}
{"id": "v3_test_id_00001087", "prompt": "Solve the equation 2(x + 2) - 3 = 6(x + 7) - 1 for x.", "solution_steps": ["Expand: 2x + 4 - 3 = 6(x + 7) - 1", "Expand: 2x + 4 - 3 = 6x + 42 - 1", "Combine constants: 2x + 1 = 6x + 42 - 1", "Combine constants: 2x + 1 = 6x + 41", "Subtract 6x from both sides: -4x + 1 = 41", "Subtract 1 from both sides: -4x = 40", "Divide both sides by -4: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 2) - 3 = 6(x + 7) - 1", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": 3, \"d\": 6, \"e\": 7, \"g\": -1, \"x\": -10}", "seed": "15829387198008030635", "semantic_fingerprint": "sha256:1aded52a8151b36909ff870949d0b17d8d38eb2d94e6865d99659d5cf163cbc2", "generator_version": "3.0"}
{"id": "v3_test_id_00001088", "prompt": "Evaluate: 2 / (-621) * 49 * (-317 * (-46 + 7))", "solution_steps": ["Divide: 2 / (-621) = -2/621", "Multiply: (-2/621) * 49 = -98/621", "Add: -46 + 7 = -39", "Multiply: -317 * (-39) = 12363", "Multiply: (-98/621) * 12363 = -403858/207"], "final_answer": "-403858/207", "answer_type": "rational", "kind": "expression", "math_text": "2 / (-621) * 49 * (-317 * (-46 + 7))", "variable": null, "family": "expression_5op", "shape": "(* (* (/ n n) n) (* n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -621, \"c\": 49, \"d\": -317, \"e\": -46, \"f\": 7}", "seed": "6572772382502055996", "semantic_fingerprint": "sha256:6b07d6a109b0734e1a1e3905143ffd14e722a8b02b6c0c728e6ca1bd12d840f7", "generator_version": "3.0"}
{"id": "v3_test_id_00001089", "prompt": "Solve for x: x = 4(x + 67) - 250", "solution_steps": ["Expand: x = 4x + 268 - 250", "Combine constants: x = 4x + 18", "Subtract 4x from both sides: -3x = 18", "Divide both sides by -3: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 4(x + 67) - 250", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 67, \"d\": -250, \"x\": -6}", "seed": "8393525549424958442", "semantic_fingerprint": "sha256:22a355c85d6cb6b54ec658c91e9890a1d8f56b7b6897f6d978e6f1db48b928d6", "generator_version": "3.0"}
{"id": "v3_test_id_00001090", "prompt": "Compute: 2 / (8 / 6 / (-4))", "solution_steps": ["Divide: 8 / 6 = 4/3", "Divide: (4/3) / (-4) = -1/3", "Divide: 2 / (-1/3) = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "expression", "math_text": "2 / (8 / 6 / (-4))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 6, \"d\": -4}", "seed": "5395746201530648800", "semantic_fingerprint": "sha256:7a61203171562ff03861e4539b9afd495bcd213132dc10f06b5294c793d4a553", "generator_version": "3.0"}
{"id": "v3_test_id_00001091", "prompt": "What value of x satisfies 5x - 6 = -36?", "solution_steps": ["Add 6 to both sides: 5x = -30", "Divide both sides by 5: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 6 = -36", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"d\": -36, \"x\": -6}", "seed": "9721810568236674192", "semantic_fingerprint": "sha256:c42aca5d33111e8b3589fe2d044702943a6dac66def197b6f72aeab582bbc554", "generator_version": "3.0"}
{"id": "v3_test_id_00001092", "prompt": "Evaluate: -25 - 341 + 85", "solution_steps": ["Subtract: -25 - 341 = -366", "Add: -366 + 85 = -281"], "final_answer": "-281", "answer_type": "integer", "kind": "expression", "math_text": "-25 - 341 + 85", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": 341, \"c\": 85}", "seed": "16460039975232830367", "semantic_fingerprint": "sha256:7fe4c7aef6be94847ded172bd4ad8d89931afc35c0fb265caa0a192a8a67a6f5", "generator_version": "3.0"}
{"id": "v3_test_id_00001093", "prompt": "Compute: 2 / (-7)", "solution_steps": ["Divide: 2 / (-7) = -2/7"], "final_answer": "-2/7", "answer_type": "rational", "kind": "expression", "math_text": "2 / (-7)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -7}", "seed": "14975131515188439907", "semantic_fingerprint": "sha256:4baca645ab69f9a13b06ca741f908e1da42f3553f5fe387825fc79a3cdd105a3", "generator_version": "3.0"}
{"id": "v3_test_id_00001094", "prompt": "Calculate: 938 + (-359)", "solution_steps": ["Add: 938 + (-359) = 579"], "final_answer": "579", "answer_type": "integer", "kind": "expression", "math_text": "938 + (-359)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 938, \"b\": -359}", "seed": "16370728921204102000", "semantic_fingerprint": "sha256:7590ca22b9f7769d6ed788337863f5a56c366980baa4c522eb4df1d0489fe12a", "generator_version": "3.0"}
{"id": "v3_test_id_00001095", "prompt": "Calculate: (-576 + (-64)) / ((-37 - (-6)) / (-91))", "solution_steps": ["Add: -576 + (-64) = -640", "Subtract: -37 - (-6) = -31", "Divide: -31 / (-91) = 31/91", "Divide: -640 / (31/91) = -58240/31"], "final_answer": "-58240/31", "answer_type": "rational", "kind": "expression", "math_text": "(-576 + (-64)) / ((-37 - (-6)) / (-91))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -576, \"b\": -64, \"c\": -37, \"d\": -6, \"e\": -91}", "seed": "5092114168007034337", "semantic_fingerprint": "sha256:561ff01609a28ad9162ed64cdcdf7f4ba3f22eca5a4b26d21e1e57691f32e842", "generator_version": "3.0"}
{"id": "v3_test_id_00001096", "prompt": "Calculate: 74 - 99 * (-752) - (-64 - (-1))", "solution_steps": ["Multiply: 99 * (-752) = -74448", "Subtract: 74 - (-74448) = 74522", "Subtract: -64 - (-1) = -63", "Subtract: 74522 - (-63) = 74585"], "final_answer": "74585", "answer_type": "integer", "kind": "expression", "math_text": "74 - 99 * (-752) - (-64 - (-1))", "variable": null, "family": "expression_4op", "shape": "(- (- n (* n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": 99, \"c\": -752, \"d\": -64, \"e\": -1}", "seed": "5275513331281958537", "semantic_fingerprint": "sha256:fda71e5b3eaeab3cddc84848ef43a299f7602f48ecae1a5d0052a2765d2050b8", "generator_version": "3.0"}
{"id": "v3_test_id_00001097", "prompt": "Find x: x + 87 = 84", "solution_steps": ["Subtract 87 from both sides: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 87 = 84", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 87, \"c\": 84, \"x\": -3}", "seed": "12731179863965847819", "semantic_fingerprint": "sha256:ef38defc8e920f104d57114484b4028a671a578f4cb0672ead44107b23420549", "generator_version": "3.0"}
{"id": "v3_test_id_00001098", "prompt": "Solve for x: 3x + 71 = 9x + 143", "solution_steps": ["Subtract 9x from both sides: -6x + 71 = 143", "Subtract 71 from both sides: -6x = 72", "Divide both sides by -6: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x + 71 = 9x + 143", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 71, \"c\": 9, \"e\": 143, \"x\": -12}", "seed": "8592844062756491641", "semantic_fingerprint": "sha256:437185ee88927dd9855e714f6bcc2ec63c21656f32c68234418167eef7fcf5be", "generator_version": "3.0"}
{"id": "v3_test_id_00001099", "prompt": "What is (-189 - (-949)) * (-896)?", "solution_steps": ["Subtract: -189 - (-949) = 760", "Multiply: 760 * (-896) = -680960"], "final_answer": "-680960", "answer_type": "integer", "kind": "expression", "math_text": "(-189 - (-949)) * (-896)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -189, \"b\": -949, \"c\": -896}", "seed": "1364345498628249961", "semantic_fingerprint": "sha256:6737fedf394d92ca865049a77c9259d10c54bdbf0ffed2146177eec405c3da97", "generator_version": "3.0"}
{"id": "v3_test_id_00001100", "prompt": "Compute: -50 - (-3)", "solution_steps": ["Subtract: -50 - (-3) = -47"], "final_answer": "-47", "answer_type": "integer", "kind": "expression", "math_text": "-50 - (-3)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": -3}", "seed": "4739214437498863761", "semantic_fingerprint": "sha256:f8091328a7194b4fdfef81adcd6d7e88afee4cfa202ea43d0c87b195f2883097", "generator_version": "3.0"}
{"id": "v3_test_id_00001101", "prompt": "What value of x satisfies -10x - 36 = 12x + 250?", "solution_steps": ["Subtract 12x from both sides: -22x - 36 = 250", "Add 36 to both sides: -22x = 286", "Divide both sides by -22: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x - 36 = 12x + 250", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 36, \"c\": 12, \"e\": 250, \"x\": -13}", "seed": "741006025303550022", "semantic_fingerprint": "sha256:b4241dbdb2235a560ae4f5625a0726341c63b9d9b7e51d4970a9e4a0fcbbe562", "generator_version": "3.0"}
{"id": "v3_test_id_00001102", "prompt": "Calculate: -7 - (-57)", "solution_steps": ["Subtract: -7 - (-57) = 50"], "final_answer": "50", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (-57)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -57}", "seed": "14223907579255255579", "semantic_fingerprint": "sha256:1804f8382120a2c1f65f99463bc4d17252e31fbc50b427e21b777776cfcc991e", "generator_version": "3.0"}
{"id": "v3_test_id_00001103", "prompt": "What is 176 / 524 - 7?", "solution_steps": ["Divide: 176 / 524 = 44/131", "Subtract: 44/131 - 7 = -873/131"], "final_answer": "-873/131", "answer_type": "rational", "kind": "expression", "math_text": "176 / 524 - 7", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 176, \"b\": 524, \"c\": 7}", "seed": "7570108160377102846", "semantic_fingerprint": "sha256:237d656af739f30a45d3535c8a341ae78e2159a65f360d120fcb686a4d9bf7e3", "generator_version": "3.0"}
{"id": "v3_test_id_00001104", "prompt": "Calculate: -48 / (73 / (-28) - (-64))", "solution_steps": ["Divide: 73 / (-28) = -73/28", "Subtract: -73/28 - (-64) = 1719/28", "Divide: -48 / (1719/28) = -448/573"], "final_answer": "-448/573", "answer_type": "rational", "kind": "expression", "math_text": "-48 / (73 / (-28) - (-64))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": 73, \"c\": -28, \"d\": -64}", "seed": "11830886589408308734", "semantic_fingerprint": "sha256:a8440e749f520427fda7d9cff749d8deb957851363169b841610d588151557a3", "generator_version": "3.0"}
{"id": "v3_test_id_00001105", "prompt": "What value of x satisfies -8(x + 49) = -6x?", "solution_steps": ["Expand: -8x - 392 = -6x", "Add 6x to both sides: -2x - 392 = 0", "Add 392 to both sides: -2x = 392", "Divide both sides by -2: x = -196"], "final_answer": "-196", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 49) = -6x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 49, \"c\": -6}", "seed": "334517322894048820", "semantic_fingerprint": "sha256:0bb4b41800d9e75af3c25dd5b3a08665f5cc2a314dae5bcd86980914ca9ceb00", "generator_version": "3.0"}
{"id": "v3_test_id_00001106", "prompt": "Calculate: (-143 - (-677)) / (-963 + (-924) - 37)", "solution_steps": ["Subtract: -143 - (-677) = 534", "Add: -963 + (-924) = -1887", "Subtract: -1887 - 37 = -1924", "Divide: 534 / (-1924) = -267/962"], "final_answer": "-267/962", "answer_type": "rational", "kind": "expression", "math_text": "(-143 - (-677)) / (-963 + (-924) - 37)", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (- (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -143, \"b\": -677, \"c\": -963, \"d\": -924, \"e\": 37}", "seed": "8090087194825248834", "semantic_fingerprint": "sha256:44c377df7a70357598cdba9c775e8092c06f5aa0f763633e6a2621a2766ab6a1", "generator_version": "3.0"}
{"id": "v3_test_id_00001107", "prompt": "Solve for x: 7x + 523 = 5x + 491", "solution_steps": ["Subtract 5x from both sides: 2x + 523 = 491", "Subtract 523 from both sides: 2x = -32", "Divide both sides by 2: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 523 = 5x + 491", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 523, \"c\": 5, \"e\": 491, \"x\": -16}", "seed": "737953477753783687", "semantic_fingerprint": "sha256:6e9ace9aa88188b49547915ee2e122f7ae8f01ba4c1f51c33264eca173af169b", "generator_version": "3.0"}
{"id": "v3_test_id_00001108", "prompt": "Evaluate: 2 * 35 / (8 - 62) + (-56)", "solution_steps": ["Multiply: 2 * 35 = 70", "Subtract: 8 - 62 = -54", "Divide: 70 / (-54) = -35/27", "Add: -35/27 + (-56) = -1547/27"], "final_answer": "-1547/27", "answer_type": "rational", "kind": "expression", "math_text": "2 * 35 / (8 - 62) + (-56)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 35, \"c\": 8, \"d\": 62, \"e\": -56}", "seed": "14308420964863561381", "semantic_fingerprint": "sha256:2abd919e5eb7ed2e8c837f90878d80d8b2c94cef34f071d4e1df068e0c1112c1", "generator_version": "3.0"}
{"id": "v3_test_id_00001109", "prompt": "Solve for x: 4x = -3(x + 83)", "solution_steps": ["Expand: 4x = -3x - 249", "Add 3x to both sides: 7x = -249", "Divide both sides by 7: x = -249/7"], "final_answer": "-249/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x = -3(x + 83)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -3, \"c\": 83}", "seed": "66334417635146314", "semantic_fingerprint": "sha256:3b59da703e1bd4c1a8efad3963e88f8963929524315d06086c5a88a1ef3a79a7", "generator_version": "3.0"}
{"id": "v3_test_id_00001110", "prompt": "What is 143 - 0?", "solution_steps": ["Subtract: 143 - 0 = 143"], "final_answer": "143", "answer_type": "integer", "kind": "expression", "math_text": "143 - 0", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 143, \"b\": 0}", "seed": "14163182844623691087", "semantic_fingerprint": "sha256:1f010466127e2e745d02241077f7cc4ea279b6fe30b5baf811ecf1fc157e35d6", "generator_version": "3.0"}
{"id": "v3_test_id_00001111", "prompt": "Compute: -334 / 77", "solution_steps": ["Divide: -334 / 77 = -334/77"], "final_answer": "-334/77", "answer_type": "rational", "kind": "expression", "math_text": "-334 / 77", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -334, \"b\": 77}", "seed": "4064310772685623653", "semantic_fingerprint": "sha256:9e51692c0d73b2463faaa258ee17e38a5116eba0989c7fba58257d9a8adf0461", "generator_version": "3.0"}
{"id": "v3_test_id_00001112", "prompt": "Compute: (71 + 1) / 61", "solution_steps": ["Add: 71 + 1 = 72", "Divide: 72 / 61 = 72/61"], "final_answer": "72/61", "answer_type": "rational", "kind": "expression", "math_text": "(71 + 1) / 61", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": 1, \"c\": 61}", "seed": "6062230658717416054", "semantic_fingerprint": "sha256:392947ff9d13a1537bfba93bc6726f899d9eb544c6712af998611dba21582050", "generator_version": "3.0"}
{"id": "v3_test_id_00001113", "prompt": "Solve for x: 5(x + 8) = 4(x + 50) - 2", "solution_steps": ["Expand: 5x + 40 = 4(x + 50) - 2", "Expand: 5x + 40 = 4x + 200 - 2", "Combine constants: 5x + 40 = 4x + 198", "Subtract 4x from both sides: x + 40 = 198", "Subtract 40 from both sides: x = 158"], "final_answer": "158", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 8) = 4(x + 50) - 2", "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\": 50, \"e\": 2}", "seed": "15625316642196636061", "semantic_fingerprint": "sha256:c9936b81550b16441f21a5b389688b7d1d2e14cb319e34dc67dcfed3e664c583", "generator_version": "3.0"}
{"id": "v3_test_id_00001114", "prompt": "Evaluate: 84 / (94 / (-151))", "solution_steps": ["Divide: 94 / (-151) = -94/151", "Divide: 84 / (-94/151) = -6342/47"], "final_answer": "-6342/47", "answer_type": "rational", "kind": "expression", "math_text": "84 / (94 / (-151))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": 94, \"c\": -151}", "seed": "7004409866912880499", "semantic_fingerprint": "sha256:a89e9a98a48c74e7bd80748a7b617f713ca59cf2e4b034c2c804e3d418c2d18b", "generator_version": "3.0"}
{"id": "v3_test_id_00001115", "prompt": "Evaluate: -81 + (858 + (-87))", "solution_steps": ["Add: 858 + (-87) = 771", "Add: -81 + 771 = 690"], "final_answer": "690", "answer_type": "integer", "kind": "expression", "math_text": "-81 + (858 + (-87))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": 858, \"c\": -87}", "seed": "10003249673159950026", "semantic_fingerprint": "sha256:b79082b3ece68ca1ecd42a8bd18c3398aeac35e264c51c1bed8231de08dfe62e", "generator_version": "3.0"}
{"id": "v3_test_id_00001116", "prompt": "What is 491 + 4 + (93 + 7)?", "solution_steps": ["Add: 491 + 4 = 495", "Add: 93 + 7 = 100", "Add: 495 + 100 = 595"], "final_answer": "595", "answer_type": "integer", "kind": "expression", "math_text": "491 + 4 + (93 + 7)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 491, \"b\": 4, \"c\": 93, \"d\": 7}", "seed": "2635159849754440433", "semantic_fingerprint": "sha256:eec76aef48c52be219b471e0f914442dfb26fbcd42e4ff2cefa66c6f38805612", "generator_version": "3.0"}
{"id": "v3_test_id_00001117", "prompt": "Solve for x: x + 69 = 12x + 168", "solution_steps": ["Subtract 12x from both sides: -11x + 69 = 168", "Subtract 69 from both sides: -11x = 99", "Divide both sides by -11: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 69 = 12x + 168", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": 12, \"d\": 168, \"x\": -9}", "seed": "15957520080858590762", "semantic_fingerprint": "sha256:7a59bc2c5fd756a9575e98396b7dbcc0d8f1cc52980b4cf9144a2199a4c3d807", "generator_version": "3.0"}
{"id": "v3_test_id_00001118", "prompt": "Solve the equation x = -12x - 78 for x.", "solution_steps": ["Add 12x to both sides: 13x = -78", "Divide both sides by 13: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -12x - 78", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -12, \"c\": -78, \"x\": -6}", "seed": "16518816517598813854", "semantic_fingerprint": "sha256:c0c9fabb0ffaf97906d7d1721a8c94d90bacda4620a32c3e49d37fbd2360f159", "generator_version": "3.0"}
{"id": "v3_test_id_00001119", "prompt": "Evaluate: -61 + (-73 - (-310))", "solution_steps": ["Subtract: -73 - (-310) = 237", "Add: -61 + 237 = 176"], "final_answer": "176", "answer_type": "integer", "kind": "expression", "math_text": "-61 + (-73 - (-310))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": -73, \"c\": -310}", "seed": "11107431509306725436", "semantic_fingerprint": "sha256:3e81010d1f0f05b75688bca46ce68e73a7c49d0cfdd1c155908e7be0b3a0f96b", "generator_version": "3.0"}
{"id": "v3_test_id_00001120", "prompt": "What is -1 - (-70) + 980?", "solution_steps": ["Subtract: -1 - (-70) = 69", "Add: 69 + 980 = 1049"], "final_answer": "1049", "answer_type": "integer", "kind": "expression", "math_text": "-1 - (-70) + 980", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -70, \"c\": 980}", "seed": "4277584272337605428", "semantic_fingerprint": "sha256:93303d24395ce340523b4fe85ca2f937dc87fe75ec7cb33529e25c5bea974c52", "generator_version": "3.0"}
{"id": "v3_test_id_00001121", "prompt": "What is 1 + 0 + (-574) * (19 * (-82))?", "solution_steps": ["Add: 1 + 0 = 1", "Multiply: 19 * (-82) = -1558", "Multiply: -574 * (-1558) = 894292", "Add: 1 + 894292 = 894293"], "final_answer": "894293", "answer_type": "integer", "kind": "expression", "math_text": "1 + 0 + (-574) * (19 * (-82))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 0, \"c\": -574, \"d\": 19, \"e\": -82}", "seed": "13928391804638274760", "semantic_fingerprint": "sha256:822cf40e3263878271d657d3287bd3588f4154d061f0adbb8d126247cb5eb5b5", "generator_version": "3.0"}
{"id": "v3_test_id_00001122", "prompt": "Solve for x: -8x - 77 = x - 84", "solution_steps": ["Subtract x from both sides: -9x - 77 = -84", "Add 77 to both sides: -9x = -7", "Divide both sides by -9: x = 7/9"], "final_answer": "7/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8x - 77 = x - 84", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 77, \"c\": 84}", "seed": "18182424005242515805", "semantic_fingerprint": "sha256:a57d005f20da94a07ed6dcc4cee425cef0dc3ff910dd30686c6c6d647c57f6b0", "generator_version": "3.0"}
{"id": "v3_test_id_00001123", "prompt": "Solve the equation x = -9(x + 8) + 358 for x.", "solution_steps": ["Expand: x = -9x - 72 + 358", "Combine constants: x = -9x + 286", "Add 9x to both sides: 10x = 286", "Divide both sides by 10: x = 143/5"], "final_answer": "143/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -9(x + 8) + 358", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 8, \"c\": 358}", "seed": "12094996182922529145", "semantic_fingerprint": "sha256:e10ff8744ba35737594445f03b853f6bb7b04338c1fd692337343a58df8f5754", "generator_version": "3.0"}
{"id": "v3_test_id_00001124", "prompt": "What is -27 - 757 - 153?", "solution_steps": ["Subtract: -27 - 757 = -784", "Subtract: -784 - 153 = -937"], "final_answer": "-937", "answer_type": "integer", "kind": "expression", "math_text": "-27 - 757 - 153", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": 757, \"c\": 153}", "seed": "11690294857062543435", "semantic_fingerprint": "sha256:d98adb355e559f4b6d1da087d76db51c6855c433e12a993396514529a66ba075", "generator_version": "3.0"}
{"id": "v3_test_id_00001125", "prompt": "Compute: 9 / (3 + (37 - (-140) + (-6)))", "solution_steps": ["Subtract: 37 - (-140) = 177", "Add: 177 + (-6) = 171", "Add: 3 + 171 = 174", "Divide: 9 / 174 = 3/58"], "final_answer": "3/58", "answer_type": "rational", "kind": "expression", "math_text": "9 / (3 + (37 - (-140) + (-6)))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ n (+ (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 37, \"d\": -140, \"e\": -6}", "seed": "3020852817570935585", "semantic_fingerprint": "sha256:59d0938faea3bf4e0d50a6f74ba61ec92ee2457f27bc2a55f5b9032e16133fb6", "generator_version": "3.0"}
{"id": "v3_test_id_00001126", "prompt": "Evaluate: 79 - (-7 + 20 - 84)", "solution_steps": ["Add: -7 + 20 = 13", "Subtract: 13 - 84 = -71", "Subtract: 79 - (-71) = 150"], "final_answer": "150", "answer_type": "integer", "kind": "expression", "math_text": "79 - (-7 + 20 - 84)", "variable": null, "family": "expression_3op", "shape": "(- n (- (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": -7, \"c\": 20, \"d\": 84}", "seed": "13837390021930634718", "semantic_fingerprint": "sha256:e8bb76d50b17f877dd4cc6ea186ed8ea84c0eadc22a26a820ddde30abe3043ac", "generator_version": "3.0"}
{"id": "v3_test_id_00001127", "prompt": "Solve for x: -4x + 6 = x + 101", "solution_steps": ["Subtract x from both sides: -5x + 6 = 101", "Subtract 6 from both sides: -5x = 95", "Divide both sides by -5: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x + 6 = x + 101", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 6, \"d\": 101, \"x\": -19}", "seed": "630725747692908794", "semantic_fingerprint": "sha256:05f2886948fb383a611aecb9ea5a84dd0dcf71609c7e977e386c0ea61e4c9970", "generator_version": "3.0"}
{"id": "v3_test_id_00001128", "prompt": "Solve the equation x = -2(x + 98) + 193 for x.", "solution_steps": ["Expand: x = -2x - 196 + 193", "Combine constants: x = -2x - 3", "Add 2x to both sides: 3x = -3", "Divide both sides by 3: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -2(x + 98) + 193", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 98, \"d\": 193, \"x\": -1}", "seed": "9726159606661821744", "semantic_fingerprint": "sha256:48954f19600e6cb7ab302ec470413b61f5f20fe5cf0176f4bf3bb1ce01378a85", "generator_version": "3.0"}
{"id": "v3_test_id_00001129", "prompt": "Calculate: 6 - 967", "solution_steps": ["Subtract: 6 - 967 = -961"], "final_answer": "-961", "answer_type": "integer", "kind": "expression", "math_text": "6 - 967", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 967}", "seed": "1336514830031936906", "semantic_fingerprint": "sha256:14ea4c75832edbf4e205b59f4929da21b8d555e9eba914382f0a4098a0f8e4be", "generator_version": "3.0"}
{"id": "v3_test_id_00001130", "prompt": "Compute: -432 + 445 + 74", "solution_steps": ["Add: -432 + 445 = 13", "Add: 13 + 74 = 87"], "final_answer": "87", "answer_type": "integer", "kind": "expression", "math_text": "-432 + 445 + 74", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -432, \"b\": 445, \"c\": 74}", "seed": "6212983319412712546", "semantic_fingerprint": "sha256:de8f39a07dd390dffd93c55cd10f4609cabd8aa1f2ba4218e650a41c32eb1e82", "generator_version": "3.0"}
{"id": "v3_test_id_00001131", "prompt": "Solve the equation 8x + 84 = 2(x + 51) for x.", "solution_steps": ["Expand: 8x + 84 = 2x + 102", "Subtract 2x from both sides: 6x + 84 = 102", "Subtract 84 from both sides: 6x = 18", "Divide both sides by 6: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x + 84 = 2(x + 51)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": 51, \"e\": 84, \"x\": 3}", "seed": "13987251502626207368", "semantic_fingerprint": "sha256:324ef648957a8a71202beb4fc31722a7fab1fae07040d32a5ed827e71db1c645", "generator_version": "3.0"}
{"id": "v3_test_id_00001132", "prompt": "Calculate: -971 / (73 - 66)", "solution_steps": ["Subtract: 73 - 66 = 7", "Divide: -971 / 7 = -971/7"], "final_answer": "-971/7", "answer_type": "rational", "kind": "expression", "math_text": "-971 / (73 - 66)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -971, \"b\": 73, \"c\": 66}", "seed": "11282424645160106517", "semantic_fingerprint": "sha256:7e3beb072ce2052ab8a6115c8f6ae7124f1cfc8ba0b36d2407d3164d89ba1e6d", "generator_version": "3.0"}
{"id": "v3_test_id_00001133", "prompt": "Evaluate: ((196 - (-39)) * (63 * (-39)) + (-8)) / (-11)", "solution_steps": ["Subtract: 196 - (-39) = 235", "Multiply: 63 * (-39) = -2457", "Multiply: 235 * (-2457) = -577395", "Add: -577395 + (-8) = -577403", "Divide: -577403 / (-11) = 577403/11"], "final_answer": "577403/11", "answer_type": "rational", "kind": "expression", "math_text": "((196 - (-39)) * (63 * (-39)) + (-8)) / (-11)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (* (- n n) (* n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 196, \"b\": -39, \"c\": 63, \"d\": -39, \"e\": -8, \"f\": -11}", "seed": "7187380653230167732", "semantic_fingerprint": "sha256:5101939299c7d08b06c6ebe992bda90a20df336d8bf5fc3c3f94b2e161eceb67", "generator_version": "3.0"}
{"id": "v3_test_id_00001134", "prompt": "Compute: 0 + (26 + 0)", "solution_steps": ["Add: 26 + 0 = 26", "Add: 0 + 26 = 26"], "final_answer": "26", "answer_type": "integer", "kind": "expression", "math_text": "0 + (26 + 0)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 26, \"c\": 0}", "seed": "17409661625493514715", "semantic_fingerprint": "sha256:bd8d84b16735f1281625072054d733bcd03d79f313c22ab909359cb9ad46f24e", "generator_version": "3.0"}
{"id": "v3_test_id_00001135", "prompt": "Evaluate: 9 * 49 * (62 + (-400))", "solution_steps": ["Multiply: 9 * 49 = 441", "Add: 62 + (-400) = -338", "Multiply: 441 * (-338) = -149058"], "final_answer": "-149058", "answer_type": "integer", "kind": "expression", "math_text": "9 * 49 * (62 + (-400))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 49, \"c\": 62, \"d\": -400}", "seed": "7779067939320147084", "semantic_fingerprint": "sha256:d511245aee27ab0b1f3645c3965d265399c720cbf622cd3f0a412b63faf883d5", "generator_version": "3.0"}
{"id": "v3_test_id_00001136", "prompt": "Evaluate: 66 / (-31) / (-96)", "solution_steps": ["Divide: 66 / (-31) = -66/31", "Divide: (-66/31) / (-96) = 11/496"], "final_answer": "11/496", "answer_type": "rational", "kind": "expression", "math_text": "66 / (-31) / (-96)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -31, \"c\": -96}", "seed": "13957082645073045710", "semantic_fingerprint": "sha256:36e4c03cf5b4526136fcc612e9002789a167c86d2250332b61f1bd9ede1eaa71", "generator_version": "3.0"}
{"id": "v3_test_id_00001137", "prompt": "Compute: 513 * 7 - 900", "solution_steps": ["Multiply: 513 * 7 = 3591", "Subtract: 3591 - 900 = 2691"], "final_answer": "2691", "answer_type": "integer", "kind": "expression", "math_text": "513 * 7 - 900", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 513, \"b\": 7, \"c\": 900}", "seed": "13144856581136585520", "semantic_fingerprint": "sha256:b890b535a9a960a1d7d09ce3aefc8501f1f878c5d262b610fe5e1770ec9f54d0", "generator_version": "3.0"}
{"id": "v3_test_id_00001138", "prompt": "Evaluate: 36 / (-29 * 32 + 5) - (-593 + (-483))", "solution_steps": ["Multiply: -29 * 32 = -928", "Add: -928 + 5 = -923", "Divide: 36 / (-923) = -36/923", "Add: -593 + (-483) = -1076", "Subtract: -36/923 - (-1076) = 993112/923"], "final_answer": "993112/923", "answer_type": "rational", "kind": "expression", "math_text": "36 / (-29 * 32 + 5) - (-593 + (-483))", "variable": null, "family": "expression_5op", "shape": "(- (/ n (+ (* n n) n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": -29, \"c\": 32, \"d\": 5, \"e\": -593, \"f\": -483}", "seed": "18193134894361012270", "semantic_fingerprint": "sha256:fd0a504e8f8cf37f05376d2e7f8e5003ab7e37c0a78eb6c2920ca4ca1cf93bce", "generator_version": "3.0"}
{"id": "v3_test_id_00001139", "prompt": "What is -668 + 7 * 12?", "solution_steps": ["Multiply: 7 * 12 = 84", "Add: -668 + 84 = -584"], "final_answer": "-584", "answer_type": "integer", "kind": "expression", "math_text": "-668 + 7 * 12", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -668, \"b\": 7, \"c\": 12}", "seed": "6023918035951206428", "semantic_fingerprint": "sha256:f0d9fe92bddf42689a9e8f05fd51b78a3ea6dc38f0b7bf9b370838ca501b15cc", "generator_version": "3.0"}
{"id": "v3_test_id_00001140", "prompt": "Calculate: 10 + (-25)", "solution_steps": ["Add: 10 + (-25) = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "expression", "math_text": "10 + (-25)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -25}", "seed": "7522081941526906726", "semantic_fingerprint": "sha256:f467b6fee1539ae61864b807f403b7e9e338e9d43e6ffed224987cd7b0ee5186", "generator_version": "3.0"}
{"id": "v3_test_id_00001141", "prompt": "What is 96 + 4?", "solution_steps": ["Add: 96 + 4 = 100"], "final_answer": "100", "answer_type": "integer", "kind": "expression", "math_text": "96 + 4", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": 4}", "seed": "9883670845283455249", "semantic_fingerprint": "sha256:87c0dfd100448e5caddaf60c232cf3138e3ff3b2cb68505713fff5491cf4df6b", "generator_version": "3.0"}
{"id": "v3_test_id_00001142", "prompt": "What value of x satisfies 6(x + 594) + 40 = -2(x - 64)?", "solution_steps": ["Expand: 6x + 3564 + 40 = -2(x - 64)", "Expand: 6x + 3564 + 40 = -2x + 128", "Combine constants: 6x + 3604 = -2x + 128", "Add 2x to both sides: 8x + 3604 = 128", "Subtract 3604 from both sides: 8x = -3476", "Divide both sides by 8: x = -869/2"], "final_answer": "-869/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 594) + 40 = -2(x - 64)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 594, \"c\": 40, \"d\": -2, \"e\": 64}", "seed": "2900369889089153382", "semantic_fingerprint": "sha256:b275609382c4de3dfa696e216487010d43ca2d4e90b37e03e3836f890ac8759c", "generator_version": "3.0"}
{"id": "v3_test_id_00001143", "prompt": "Solve for x: 7x = -11x + 324", "solution_steps": ["Add 11x to both sides: 18x = 324", "Divide both sides by 18: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = -11x + 324", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -11, \"d\": 324, \"x\": 18}", "seed": "2717163525178330365", "semantic_fingerprint": "sha256:c87cfc31fdb56f8caaa023a32962527c8dafda453a45f783bd5f9da9d6f34b0e", "generator_version": "3.0"}
{"id": "v3_test_id_00001144", "prompt": "Calculate: -2 / 15 - 79", "solution_steps": ["Divide: -2 / 15 = -2/15", "Subtract: -2/15 - 79 = -1187/15"], "final_answer": "-1187/15", "answer_type": "rational", "kind": "expression", "math_text": "-2 / 15 - 79", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 15, \"c\": 79}", "seed": "9359292824676359732", "semantic_fingerprint": "sha256:9471fa8d9605dc8bc8a4652f294d9bf2a283beecad8ceb6d6f4881c38f5ff5d7", "generator_version": "3.0"}
{"id": "v3_test_id_00001145", "prompt": "Evaluate: -29 - (-57)", "solution_steps": ["Subtract: -29 - (-57) = 28"], "final_answer": "28", "answer_type": "integer", "kind": "expression", "math_text": "-29 - (-57)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": -57}", "seed": "14220373529065302110", "semantic_fingerprint": "sha256:9312fc8bfd900f06384cf68b58d694d1e00959e5d11e4f487935d389089a0f64", "generator_version": "3.0"}
{"id": "v3_test_id_00001146", "prompt": "Find x: 9x + 88 = 4(x - 3)", "solution_steps": ["Expand: 9x + 88 = 4x - 12", "Subtract 4x from both sides: 5x + 88 = -12", "Subtract 88 from both sides: 5x = -100", "Divide both sides by 5: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x + 88 = 4(x - 3)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 4, \"c\": 3, \"e\": 88, \"x\": -20}", "seed": "12186364887321627536", "semantic_fingerprint": "sha256:3cec8cb87424e60aaf618097d7a25f4aa1124c7f4ce858fadc6b9622b853cf8a", "generator_version": "3.0"}
{"id": "v3_test_id_00001147", "prompt": "Calculate: (3 * 931 * 21 - 6) / (-531)", "solution_steps": ["Multiply: 3 * 931 = 2793", "Multiply: 2793 * 21 = 58653", "Subtract: 58653 - 6 = 58647", "Divide: 58647 / (-531) = -19549/177"], "final_answer": "-19549/177", "answer_type": "rational", "kind": "expression", "math_text": "(3 * 931 * 21 - 6) / (-531)", "variable": null, "family": "expression_4op", "shape": "(/ (- (* (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 931, \"c\": 21, \"d\": 6, \"e\": -531}", "seed": "14709066206801645853", "semantic_fingerprint": "sha256:3ac1999bcfebb9de95b5f1766ef599117cd227a4b023b04892fc1318dff1f7bd", "generator_version": "3.0"}
{"id": "v3_test_id_00001148", "prompt": "Solve the equation -6(x - 3) - 48 = -3(x + 8) for x.", "solution_steps": ["Expand: -6x + 18 - 48 = -3(x + 8)", "Expand: -6x + 18 - 48 = -3x - 24", "Combine constants: -6x - 30 = -3x - 24", "Add 3x to both sides: -3x - 30 = -24", "Add 30 to both sides: -3x = 6", "Divide both sides by -3: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 3) - 48 = -3(x + 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 3, \"c\": -3, \"d\": 8, \"f\": -48, \"x\": -2}", "seed": "12288928877233499878", "semantic_fingerprint": "sha256:1472dbb823d769a57332b5172b7719aaef03441561cb8467abff281931bab5b8", "generator_version": "3.0"}
{"id": "v3_test_id_00001149", "prompt": "Compute: 1 + (4 - 61 + (-1))", "solution_steps": ["Subtract: 4 - 61 = -57", "Add: -57 + (-1) = -58", "Add: 1 + (-58) = -57"], "final_answer": "-57", "answer_type": "integer", "kind": "expression", "math_text": "1 + (4 - 61 + (-1))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 4, \"c\": 61, \"d\": -1}", "seed": "15077024795170866753", "semantic_fingerprint": "sha256:dfb77ae4e8ff3792779fab208492e4a7d8fb2ccd925efda47d4d5a74c51ecd52", "generator_version": "3.0"}
{"id": "v3_test_id_00001150", "prompt": "Evaluate: (406 - 0) * 59", "solution_steps": ["Subtract: 406 - 0 = 406", "Multiply: 406 * 59 = 23954"], "final_answer": "23954", "answer_type": "integer", "kind": "expression", "math_text": "(406 - 0) * 59", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 406, \"b\": 0, \"c\": 59}", "seed": "16295228658975019737", "semantic_fingerprint": "sha256:0714b9e7a27b9fa92f248cdf1973150c95ce222564a8467a34bbca00c87f125b", "generator_version": "3.0"}
{"id": "v3_test_id_00001151", "prompt": "What is 578 + (7 - 13 - (-95))?", "solution_steps": ["Subtract: 7 - 13 = -6", "Subtract: -6 - (-95) = 89", "Add: 578 + 89 = 667"], "final_answer": "667", "answer_type": "integer", "kind": "expression", "math_text": "578 + (7 - 13 - (-95))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 578, \"b\": 7, \"c\": 13, \"d\": -95}", "seed": "8980897052515067708", "semantic_fingerprint": "sha256:9e6078331fbafdb15c1807d2b8782740289fbdfcac904266c1673e57c5ce476e", "generator_version": "3.0"}
{"id": "v3_test_id_00001152", "prompt": "Find x: 3(x + 9) - 25 = 9x", "solution_steps": ["Expand: 3x + 27 - 25 = 9x", "Combine constants: 3x + 2 = 9x", "Subtract 9x from both sides: -6x + 2 = 0", "Subtract 2 from both sides: -6x = -2", "Divide both sides by -6: x = 1/3"], "final_answer": "1/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 9) - 25 = 9x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": 25, \"d\": 9}", "seed": "6924143823068513629", "semantic_fingerprint": "sha256:6b311393b5533b1e83cec2c609f91fc1a6bbc356bdbf8e6df705d5e434d4c663", "generator_version": "3.0"}
{"id": "v3_test_id_00001153", "prompt": "What value of x satisfies -12x + 99 = x - 148?", "solution_steps": ["Subtract x from both sides: -13x + 99 = -148", "Subtract 99 from both sides: -13x = -247", "Divide both sides by -13: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x + 99 = x - 148", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 99, \"d\": -148, \"x\": 19}", "seed": "14013825519181512757", "semantic_fingerprint": "sha256:4527084b9d989e18ec76a7088b5134ebbe82d4c0e4b38471ca9ca9086b5e9fa7", "generator_version": "3.0"}
{"id": "v3_test_id_00001154", "prompt": "Compute: 941 - (-297) * (-13)", "solution_steps": ["Multiply: -297 * (-13) = 3861", "Subtract: 941 - 3861 = -2920"], "final_answer": "-2920", "answer_type": "integer", "kind": "expression", "math_text": "941 - (-297) * (-13)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 941, \"b\": -297, \"c\": -13}", "seed": "7449017058745373902", "semantic_fingerprint": "sha256:a10756efaa5f1f4831829a1f474ca735d6ddbf2e670689c8f4b7284827f41b54", "generator_version": "3.0"}
{"id": "v3_test_id_00001155", "prompt": "Calculate: (-327 - 467) / 513", "solution_steps": ["Subtract: -327 - 467 = -794", "Divide: -794 / 513 = -794/513"], "final_answer": "-794/513", "answer_type": "rational", "kind": "expression", "math_text": "(-327 - 467) / 513", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -327, \"b\": 467, \"c\": 513}", "seed": "13372659997266900055", "semantic_fingerprint": "sha256:4b5e9bdf038d45efe00c93eb53a324433552bd70ac455a1b69c735def8ba2908", "generator_version": "3.0"}
{"id": "v3_test_id_00001156", "prompt": "What is -6 * (-381)?", "solution_steps": ["Multiply: -6 * (-381) = 2286"], "final_answer": "2286", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-381)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -381}", "seed": "1371835631378010492", "semantic_fingerprint": "sha256:cac5fcac723027f1660fd7815d490dac0076c85281b4a5a6fcf93f5876ffb6b8", "generator_version": "3.0"}
{"id": "v3_test_id_00001157", "prompt": "What is 45 - 0 + (-84)?", "solution_steps": ["Subtract: 45 - 0 = 45", "Add: 45 + (-84) = -39"], "final_answer": "-39", "answer_type": "integer", "kind": "expression", "math_text": "45 - 0 + (-84)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": 0, \"c\": -84}", "seed": "2146619402319262141", "semantic_fingerprint": "sha256:26c95ad9c55874be8169161880a296d3f2a80abf39cd784fd0484683d8466b0d", "generator_version": "3.0"}
{"id": "v3_test_id_00001158", "prompt": "Compute: -6 * (-80 / (-18))", "solution_steps": ["Divide: -80 / (-18) = 40/9", "Multiply: -6 * (40/9) = -80/3"], "final_answer": "-80/3", "answer_type": "rational", "kind": "expression", "math_text": "-6 * (-80 / (-18))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -80, \"c\": -18}", "seed": "3487876639024656963", "semantic_fingerprint": "sha256:4468816b539b8852a9b61ceb11ab664c1be32b607ac99c45b51475f68625dc1f", "generator_version": "3.0"}
{"id": "v3_test_id_00001159", "prompt": "Compute: 70 + 96 - (-54)", "solution_steps": ["Add: 70 + 96 = 166", "Subtract: 166 - (-54) = 220"], "final_answer": "220", "answer_type": "integer", "kind": "expression", "math_text": "70 + 96 - (-54)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": 96, \"c\": -54}", "seed": "15392009339247996781", "semantic_fingerprint": "sha256:489678ed975ed2590b896106d5cf72e1d14b11b79d63ff2952a3649c5947141b", "generator_version": "3.0"}
{"id": "v3_test_id_00001160", "prompt": "What is -4 / (-84 + (-34))?", "solution_steps": ["Add: -84 + (-34) = -118", "Divide: -4 / (-118) = 2/59"], "final_answer": "2/59", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-84 + (-34))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -84, \"c\": -34}", "seed": "17495606991890121349", "semantic_fingerprint": "sha256:11b7ed76b73393dd35b8a1aaa10723d3bcbad65e69b235fa468c01188b940d8e", "generator_version": "3.0"}
{"id": "v3_test_id_00001161", "prompt": "Calculate: 220 * 19", "solution_steps": ["Multiply: 220 * 19 = 4180"], "final_answer": "4180", "answer_type": "integer", "kind": "expression", "math_text": "220 * 19", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 220, \"b\": 19}", "seed": "2831042436391082028", "semantic_fingerprint": "sha256:ef5d3d7722ab82cf4eead2ca823f45be95bce80682f593869ceee6796c88f6c7", "generator_version": "3.0"}
{"id": "v3_test_id_00001162", "prompt": "Solve the equation 11x = -49 for x.", "solution_steps": ["Divide both sides by 11: x = -49/11"], "final_answer": "-49/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x = -49", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -49}", "seed": "8927395383562956352", "semantic_fingerprint": "sha256:c1b77560a47e8c321f17ed254f612731bffad365d8914eae5070a1bd1595c311", "generator_version": "3.0"}
{"id": "v3_test_id_00001163", "prompt": "Evaluate: (-83 - (-49)) / (-20 + (-4)) / (-6 + (-774))", "solution_steps": ["Subtract: -83 - (-49) = -34", "Add: -20 + (-4) = -24", "Divide: -34 / (-24) = 17/12", "Add: -6 + (-774) = -780", "Divide: (17/12) / (-780) = -17/9360"], "final_answer": "-17/9360", "answer_type": "rational", "kind": "expression", "math_text": "(-83 - (-49)) / (-20 + (-4)) / (-6 + (-774))", "variable": null, "family": "expression_5op", "shape": "(/ (/ (- n n) (+ n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": -49, \"c\": -20, \"d\": -4, \"e\": -6, \"f\": -774}", "seed": "16485649387391348292", "semantic_fingerprint": "sha256:c5708970ef6e75ce15e8946e5deb45f42241622a326f122142ce915431445ee1", "generator_version": "3.0"}
{"id": "v3_test_id_00001164", "prompt": "Evaluate: 96 * 993", "solution_steps": ["Multiply: 96 * 993 = 95328"], "final_answer": "95328", "answer_type": "integer", "kind": "expression", "math_text": "96 * 993", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": 993}", "seed": "12127265969517885513", "semantic_fingerprint": "sha256:95746a5099e989ecf0e3aa6ee385d25228fbb0095ea4c3db9eacc019c055dd4a", "generator_version": "3.0"}
{"id": "v3_test_id_00001165", "prompt": "Solve the equation 7(x - 4) = -3(x + 809) - 68 for x.", "solution_steps": ["Expand: 7x - 28 = -3(x + 809) - 68", "Expand: 7x - 28 = -3x - 2427 - 68", "Combine constants: 7x - 28 = -3x - 2495", "Add 3x to both sides: 10x - 28 = -2495", "Add 28 to both sides: 10x = -2467", "Divide both sides by 10: x = -2467/10"], "final_answer": "-2467/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 4) = -3(x + 809) - 68", "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\": -3, \"d\": 809, \"e\": 68}", "seed": "2301713015978652154", "semantic_fingerprint": "sha256:f4721c3c9903e361107923bac509904787053fd21cd2a813ed1d77bcbb886143", "generator_version": "3.0"}
{"id": "v3_test_id_00001166", "prompt": "What value of x satisfies 10(x - 26) - 207 = 5(x + 8) - 522?", "solution_steps": ["Expand: 10x - 260 - 207 = 5(x + 8) - 522", "Expand: 10x - 260 - 207 = 5x + 40 - 522", "Combine constants: 10x - 467 = 5x + 40 - 522", "Combine constants: 10x - 467 = 5x - 482", "Subtract 5x from both sides: 5x - 467 = -482", "Add 467 to both sides: 5x = -15", "Divide both sides by 5: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 26) - 207 = 5(x + 8) - 522", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 26, \"c\": 207, \"d\": 5, \"e\": 8, \"g\": -522, \"x\": -3}", "seed": "14200700892039683064", "semantic_fingerprint": "sha256:3cc9857204990e3c764f6611a1a4fa3154a8a711c9a3f8c0e1daae84b761369a", "generator_version": "3.0"}
{"id": "v3_test_id_00001167", "prompt": "Find x: x + 88 = -9(x - 12)", "solution_steps": ["Expand: x + 88 = -9x + 108", "Add 9x to both sides: 10x + 88 = 108", "Subtract 88 from both sides: 10x = 20", "Divide both sides by 10: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 88 = -9(x - 12)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 12, \"d\": 88, \"x\": 2}", "seed": "16063116826787942307", "semantic_fingerprint": "sha256:13405b918ed444b7e98a499b519cd62a21faf8e2e3dc3be9a055bf1ab4808377", "generator_version": "3.0"}
{"id": "v3_test_id_00001168", "prompt": "What value of x satisfies 11x + 93 = 4(x + 4)?", "solution_steps": ["Expand: 11x + 93 = 4x + 16", "Subtract 4x from both sides: 7x + 93 = 16", "Subtract 93 from both sides: 7x = -77", "Divide both sides by 7: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 93 = 4(x + 4)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": 4, \"e\": 93, \"x\": -11}", "seed": "18311214221669148530", "semantic_fingerprint": "sha256:50c4fec7e733e13a658e630dbfdae49fc46f8bc72dcfef8666307294b4c26e86", "generator_version": "3.0"}
{"id": "v3_test_id_00001169", "prompt": "Evaluate: 43 * (-73 * (-298))", "solution_steps": ["Multiply: -73 * (-298) = 21754", "Multiply: 43 * 21754 = 935422"], "final_answer": "935422", "answer_type": "integer", "kind": "expression", "math_text": "43 * (-73 * (-298))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": -73, \"c\": -298}", "seed": "12479398242024782498", "semantic_fingerprint": "sha256:191ce5763654ed47bb0f026b7675648b54bddc362ad7c757e1f5fb17ed4fb30c", "generator_version": "3.0"}
{"id": "v3_test_id_00001170", "prompt": "Calculate: -9 / (-683 / (-794))", "solution_steps": ["Divide: -683 / (-794) = 683/794", "Divide: -9 / (683/794) = -7146/683"], "final_answer": "-7146/683", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-683 / (-794))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -683, \"c\": -794}", "seed": "3431927273316943802", "semantic_fingerprint": "sha256:4a0c78c7015ba79365b48f8f1dc7c68413e360904618a612b40f6f979db751b2", "generator_version": "3.0"}
{"id": "v3_test_id_00001171", "prompt": "Evaluate: (982 + 80) / 71", "solution_steps": ["Add: 982 + 80 = 1062", "Divide: 1062 / 71 = 1062/71"], "final_answer": "1062/71", "answer_type": "rational", "kind": "expression", "math_text": "(982 + 80) / 71", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 982, \"b\": 80, \"c\": 71}", "seed": "9049893090334866666", "semantic_fingerprint": "sha256:5d7da115df6d9c8a410b538eaf3726a05eb7beb2d25583f7a9e32764d4e676d5", "generator_version": "3.0"}
{"id": "v3_test_id_00001172", "prompt": "Compute: 440 / 66", "solution_steps": ["Divide: 440 / 66 = 20/3"], "final_answer": "20/3", "answer_type": "rational", "kind": "expression", "math_text": "440 / 66", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 440, \"b\": 66}", "seed": "1599032386110647229", "semantic_fingerprint": "sha256:f4bdbf7161b26dade7e5088494ea60b66330f90653d7c58f08255374310ab9b0", "generator_version": "3.0"}
{"id": "v3_test_id_00001173", "prompt": "Solve for x: 7(x + 87) = x + 717", "solution_steps": ["Expand: 7x + 609 = x + 717", "Subtract x from both sides: 6x + 609 = 717", "Subtract 609 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 + 87) = x + 717", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 87, \"d\": 717, \"x\": 18}", "seed": "7455158484985254289", "semantic_fingerprint": "sha256:9739fa8efc1c71ef0054757c103382ba7ba23f370bc89ef6d5b2efcc8e8f99b9", "generator_version": "3.0"}
{"id": "v3_test_id_00001174", "prompt": "Compute: 4 + 6 / (-768)", "solution_steps": ["Divide: 6 / (-768) = -1/128", "Add: 4 + (-1/128) = 511/128"], "final_answer": "511/128", "answer_type": "rational", "kind": "expression", "math_text": "4 + 6 / (-768)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": -768}", "seed": "1960804051700660849", "semantic_fingerprint": "sha256:7d34b5329212e95e8822b77b5e47f9364cdc29a24e5aa711cf09528d5b404c72", "generator_version": "3.0"}
{"id": "v3_test_id_00001175", "prompt": "What is -39 / (-851) * 970 - (-11 - 45)?", "solution_steps": ["Divide: -39 / (-851) = 39/851", "Multiply: (39/851) * 970 = 37830/851", "Subtract: -11 - 45 = -56", "Subtract: 37830/851 - (-56) = 85486/851"], "final_answer": "85486/851", "answer_type": "rational", "kind": "expression", "math_text": "-39 / (-851) * 970 - (-11 - 45)", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": -851, \"c\": 970, \"d\": -11, \"e\": 45}", "seed": "14977254468257358081", "semantic_fingerprint": "sha256:d89415f28a2a9c4b8d1fb83f4d45252d98fa285b323b06d1675a4ee8890d6944", "generator_version": "3.0"}
{"id": "v3_test_id_00001176", "prompt": "Compute: 51 * (-725) - (-3 - 9)", "solution_steps": ["Multiply: 51 * (-725) = -36975", "Subtract: -3 - 9 = -12", "Subtract: -36975 - (-12) = -36963"], "final_answer": "-36963", "answer_type": "integer", "kind": "expression", "math_text": "51 * (-725) - (-3 - 9)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": -725, \"c\": -3, \"d\": 9}", "seed": "11337865531254166811", "semantic_fingerprint": "sha256:88976bb0512165b02740bd58531e80334d70eb13e42c0420b1f8253a2eb9400e", "generator_version": "3.0"}
{"id": "v3_test_id_00001177", "prompt": "What is 64 * 188 - 4 / (-79) * (-28)?", "solution_steps": ["Multiply: 64 * 188 = 12032", "Divide: 4 / (-79) = -4/79", "Multiply: (-4/79) * (-28) = 112/79", "Subtract: 12032 - 112/79 = 950416/79"], "final_answer": "950416/79", "answer_type": "rational", "kind": "expression", "math_text": "64 * 188 - 4 / (-79) * (-28)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": 188, \"c\": 4, \"d\": -79, \"e\": -28}", "seed": "5023313770401314937", "semantic_fingerprint": "sha256:e35cf56400caa39e049f80c7904e8ff4f1c4bc2afb2da81437ed0ecfeccfe226", "generator_version": "3.0"}
{"id": "v3_test_id_00001178", "prompt": "What is -2 / (-2 / (852 * (-58) / 9))?", "solution_steps": ["Multiply: 852 * (-58) = -49416", "Divide: -49416 / 9 = -16472/3", "Divide: -2 / (-16472/3) = 3/8236", "Divide: -2 / (3/8236) = -16472/3"], "final_answer": "-16472/3", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-2 / (852 * (-58) / 9))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ n (/ (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -2, \"c\": 852, \"d\": -58, \"e\": 9}", "seed": "287267747720464272", "semantic_fingerprint": "sha256:75a183644ca2f0817a7cdb22b5b569b01fe9bdfa4f1713d23d03d821153aac75", "generator_version": "3.0"}
{"id": "v3_test_id_00001179", "prompt": "Evaluate: 92 + (-951) * (-82)", "solution_steps": ["Multiply: -951 * (-82) = 77982", "Add: 92 + 77982 = 78074"], "final_answer": "78074", "answer_type": "integer", "kind": "expression", "math_text": "92 + (-951) * (-82)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": -951, \"c\": -82}", "seed": "9461073215958596698", "semantic_fingerprint": "sha256:fe2a48ce8f38e3f14727978e6d84586ea1ead1218fc3307db723d9ab708b831c", "generator_version": "3.0"}
{"id": "v3_test_id_00001180", "prompt": "Compute: -643 * (-39) / (-573 / 9)", "solution_steps": ["Multiply: -643 * (-39) = 25077", "Divide: -573 / 9 = -191/3", "Divide: 25077 / (-191/3) = -75231/191"], "final_answer": "-75231/191", "answer_type": "rational", "kind": "expression", "math_text": "-643 * (-39) / (-573 / 9)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -643, \"b\": -39, \"c\": -573, \"d\": 9}", "seed": "4360346364853311369", "semantic_fingerprint": "sha256:cb244b79624c37e3ca34bd9b568d432fb1792d2d11609e2dfb5af428fa0e0f25", "generator_version": "3.0"}
{"id": "v3_test_id_00001181", "prompt": "What is -42 - (-99 + 7)?", "solution_steps": ["Add: -99 + 7 = -92", "Subtract: -42 - (-92) = 50"], "final_answer": "50", "answer_type": "integer", "kind": "expression", "math_text": "-42 - (-99 + 7)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": -99, \"c\": 7}", "seed": "15113795959271736948", "semantic_fingerprint": "sha256:8ff964821bf319b165e802c0614c79d5a408954e11c2adfdca4588a8afa64fa7", "generator_version": "3.0"}
{"id": "v3_test_id_00001182", "prompt": "Find x: -11x + 145 = 9(x + 900)", "solution_steps": ["Expand: -11x + 145 = 9x + 8100", "Subtract 9x from both sides: -20x + 145 = 8100", "Subtract 145 from both sides: -20x = 7955", "Divide both sides by -20: x = -1591/4"], "final_answer": "-1591/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11x + 145 = 9(x + 900)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 145, \"c\": 9, \"d\": 900}", "seed": "13249446841001934357", "semantic_fingerprint": "sha256:46ea47a25df31b09a7ddde756fa7fcc145b01b75ac1f1a618fdde7c1f4961eeb", "generator_version": "3.0"}
{"id": "v3_test_id_00001183", "prompt": "What is 4 * (-70) + (-8)?", "solution_steps": ["Multiply: 4 * (-70) = -280", "Add: -280 + (-8) = -288"], "final_answer": "-288", "answer_type": "integer", "kind": "expression", "math_text": "4 * (-70) + (-8)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -70, \"c\": -8}", "seed": "5220778724032003272", "semantic_fingerprint": "sha256:9470dade4520a95ca1b6f7ed315a5859efae5f328c02b95748db5dd04873fc89", "generator_version": "3.0"}
{"id": "v3_test_id_00001184", "prompt": "Solve for x: x - 403 = 12(x + 17)", "solution_steps": ["Expand: x - 403 = 12x + 204", "Subtract 12x from both sides: -11x - 403 = 204", "Add 403 to both sides: -11x = 607", "Divide both sides by -11: x = -607/11"], "final_answer": "-607/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 403 = 12(x + 17)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 403, \"b\": 12, \"c\": 17}", "seed": "5198862145943076782", "semantic_fingerprint": "sha256:f6e877e9eb1c886dad97c51373a395b2814d6907b0446693324e7fdb926a549f", "generator_version": "3.0"}
{"id": "v3_test_id_00001185", "prompt": "What is -73 * ((-25 + (-1)) / (-91))?", "solution_steps": ["Add: -25 + (-1) = -26", "Divide: -26 / (-91) = 2/7", "Multiply: -73 * (2/7) = -146/7"], "final_answer": "-146/7", "answer_type": "rational", "kind": "expression", "math_text": "-73 * ((-25 + (-1)) / (-91))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": -25, \"c\": -1, \"d\": -91}", "seed": "7417090678173442115", "semantic_fingerprint": "sha256:22d4f7eae1b4feb48b5159b900b2820f5b2692ef65113c6faec0e4b42b4b8f82", "generator_version": "3.0"}
{"id": "v3_test_id_00001186", "prompt": "What is (18 - (-820)) / (-6)?", "solution_steps": ["Subtract: 18 - (-820) = 838", "Divide: 838 / (-6) = -419/3"], "final_answer": "-419/3", "answer_type": "rational", "kind": "expression", "math_text": "(18 - (-820)) / (-6)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": -820, \"c\": -6}", "seed": "2386917626002393433", "semantic_fingerprint": "sha256:1f72d5737fee29469a3ee376976ed1e189aadef7e833680c56bbe1e6b6d170a3", "generator_version": "3.0"}
{"id": "v3_test_id_00001187", "prompt": "Find x: 12x + 3 = 7x - 2", "solution_steps": ["Subtract 7x from both sides: 5x + 3 = -2", "Subtract 3 from both sides: 5x = -5", "Divide both sides by 5: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 3 = 7x - 2", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 3, \"c\": 7, \"e\": -2, \"x\": -1}", "seed": "13194100762794926160", "semantic_fingerprint": "sha256:48c5f8a48d7e1dfaf986d0498f095325ed8f4f35e4c60c4b98c626ab45599173", "generator_version": "3.0"}
{"id": "v3_test_id_00001188", "prompt": "Compute: 96 - (-70) + 58 - 592", "solution_steps": ["Subtract: 96 - (-70) = 166", "Add: 166 + 58 = 224", "Subtract: 224 - 592 = -368"], "final_answer": "-368", "answer_type": "integer", "kind": "expression", "math_text": "96 - (-70) + 58 - 592", "variable": null, "family": "expression_3op", "shape": "(- (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": -70, \"c\": 58, \"d\": 592}", "seed": "4690205287589519119", "semantic_fingerprint": "sha256:7a418d52cda5eef6163598db3f5f677cce34a5c57b11254b9919196c66bdfa19", "generator_version": "3.0"}
{"id": "v3_test_id_00001189", "prompt": "Solve the equation 5x - 65 = x - 53 for x.", "solution_steps": ["Subtract x from both sides: 4x - 65 = -53", "Add 65 to both sides: 4x = 12", "Divide both sides by 4: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 65 = x - 53", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 65, \"d\": -53, \"x\": 3}", "seed": "2375349366717381031", "semantic_fingerprint": "sha256:b29c12bd23571b8a5d10cfd116dce4c477da587152c85922dc5a22507f71c6fd", "generator_version": "3.0"}
{"id": "v3_test_id_00001190", "prompt": "Compute: -9 * (-89 / 1 + (-635)) + (-232 + (-6))", "solution_steps": ["Divide: -89 / 1 = -89", "Add: -89 + (-635) = -724", "Multiply: -9 * (-724) = 6516", "Add: -232 + (-6) = -238", "Add: 6516 + (-238) = 6278"], "final_answer": "6278", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (-89 / 1 + (-635)) + (-232 + (-6))", "variable": null, "family": "expression_5op", "shape": "(+ (* n (+ (/ n n) n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -89, \"c\": 1, \"d\": -635, \"e\": -232, \"f\": -6}", "seed": "11732449663135413181", "semantic_fingerprint": "sha256:6c8896d1f0cb0433db2b1582bbe26dbd14883987cfec7a2a5f61d69fec7a4e91", "generator_version": "3.0"}
{"id": "v3_test_id_00001191", "prompt": "Evaluate: (75 + (-8)) * (-33)", "solution_steps": ["Add: 75 + (-8) = 67", "Multiply: 67 * (-33) = -2211"], "final_answer": "-2211", "answer_type": "integer", "kind": "expression", "math_text": "(75 + (-8)) * (-33)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": -8, \"c\": -33}", "seed": "524531139078700892", "semantic_fingerprint": "sha256:b947d0c005caeb566e14a0ca4eca5ac2e1878b27bc30489a59583129661c9e2d", "generator_version": "3.0"}
{"id": "v3_test_id_00001192", "prompt": "Find x: x - 873 = -6(x + 4) - 271", "solution_steps": ["Expand: x - 873 = -6x - 24 - 271", "Combine constants: x - 873 = -6x - 295", "Add 6x to both sides: 7x - 873 = -295", "Add 873 to both sides: 7x = 578", "Divide both sides by 7: x = 578/7"], "final_answer": "578/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 873 = -6(x + 4) - 271", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 873, \"b\": -6, \"c\": 4, \"d\": 271}", "seed": "3105208577275959260", "semantic_fingerprint": "sha256:0b3bc3c7c98ea05e4e2828fddfefa90c1df123982519d9c064c82e74f84c3daa", "generator_version": "3.0"}
{"id": "v3_test_id_00001193", "prompt": "Evaluate: -70 - (5 - (-524 / 91 - 70) * 1)", "solution_steps": ["Divide: -524 / 91 = -524/91", "Subtract: -524/91 - 70 = -6894/91", "Multiply: (-6894/91) * 1 = -6894/91", "Subtract: 5 - (-6894/91) = 7349/91", "Subtract: -70 - 7349/91 = -13719/91"], "final_answer": "-13719/91", "answer_type": "rational", "kind": "expression", "math_text": "-70 - (5 - (-524 / 91 - 70) * 1)", "variable": null, "family": "expression_5op", "shape": "(- n (- n (* (- (/ n n) n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": 5, \"c\": -524, \"d\": 91, \"e\": 70, \"f\": 1}", "seed": "15006199328054394410", "semantic_fingerprint": "sha256:da19d5f8f2e051ae6f554d84de9a089a15723a3ce734ce77387d7911924e0355", "generator_version": "3.0"}
{"id": "v3_test_id_00001194", "prompt": "Solve the equation 9(x - 5) = 12x + 12 for x.", "solution_steps": ["Expand: 9x - 45 = 12x + 12", "Subtract 12x from both sides: -3x - 45 = 12", "Add 45 to both sides: -3x = 57", "Divide both sides by -3: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 5) = 12x + 12", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 12, \"e\": 12, \"x\": -19}", "seed": "8434959127489598470", "semantic_fingerprint": "sha256:198327bf67ccda1ec325a331f76ad71a566484b33a4a5093673cf0d757de2ceb", "generator_version": "3.0"}
{"id": "v3_test_id_00001195", "prompt": "Evaluate: -8 + (-663)", "solution_steps": ["Add: -8 + (-663) = -671"], "final_answer": "-671", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (-663)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -663}", "seed": "11786339458509606154", "semantic_fingerprint": "sha256:8f368bb7e7dead2c87a21bb20fa9bd95b8b7ca109bafc06a51cadbe27042e39e", "generator_version": "3.0"}
{"id": "v3_test_id_00001196", "prompt": "Solve for x: 2x + 47 = x + 6", "solution_steps": ["Subtract x from both sides: x + 47 = 6", "Subtract 47 from both sides: x = -41"], "final_answer": "-41", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x + 47 = x + 6", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 47, \"c\": 6}", "seed": "13249713558953109570", "semantic_fingerprint": "sha256:fa9d7672c1ea55d45ba96f8b7ffbe3d3fad27a07a546f134930584ca447b3460", "generator_version": "3.0"}
{"id": "v3_test_id_00001197", "prompt": "What is -8 + (-63)?", "solution_steps": ["Add: -8 + (-63) = -71"], "final_answer": "-71", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (-63)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -63}", "seed": "4013764873928808646", "semantic_fingerprint": "sha256:0c5053b4d8010a43a6a640427e26e85ec7c33bdb5b297b4fbe0d04719d186a99", "generator_version": "3.0"}
{"id": "v3_test_id_00001198", "prompt": "What is -8 * (-862) * 3 / (-10)?", "solution_steps": ["Multiply: -8 * (-862) = 6896", "Multiply: 6896 * 3 = 20688", "Divide: 20688 / (-10) = -10344/5"], "final_answer": "-10344/5", "answer_type": "rational", "kind": "expression", "math_text": "-8 * (-862) * 3 / (-10)", "variable": null, "family": "expression_3op", "shape": "(/ (* (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -862, \"c\": 3, \"d\": -10}", "seed": "13258818688778412838", "semantic_fingerprint": "sha256:98fa208a1378c643207bb13f620f0722dd7447a35150466f37264f6b2e4dc755", "generator_version": "3.0"}
{"id": "v3_test_id_00001199", "prompt": "Solve for x: -7x = x", "solution_steps": ["Subtract x from both sides: -8x = 0", "Divide both sides by -8: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7}", "seed": "12088352133709652909", "semantic_fingerprint": "sha256:7ce6ff5324b25d5883abe910a063202ad65f49704e55b1e0cd53be975887d4cf", "generator_version": "3.0"}
{"id": "v3_test_id_00001200", "prompt": "Compute: 81 / 161 - (-802 + 26)", "solution_steps": ["Divide: 81 / 161 = 81/161", "Add: -802 + 26 = -776", "Subtract: 81/161 - (-776) = 125017/161"], "final_answer": "125017/161", "answer_type": "rational", "kind": "expression", "math_text": "81 / 161 - (-802 + 26)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": 161, \"c\": -802, \"d\": 26}", "seed": "12560800165375440689", "semantic_fingerprint": "sha256:b1a3d1a2f9a4a2a61a4d7d92ca4e5f299bf548acb34c626a901a2c72b1d488dc", "generator_version": "3.0"}
{"id": "v3_test_id_00001201", "prompt": "What value of x satisfies 8x + 241 = 393?", "solution_steps": ["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": "8x + 241 = 393", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 241, \"d\": 393, \"x\": 19}", "seed": "17133140670167555451", "semantic_fingerprint": "sha256:fa9a97ae245c1a1b4bde9bd7732bf083d005d93107c49d6560d1f81156a26b1a", "generator_version": "3.0"}
{"id": "v3_test_id_00001202", "prompt": "Evaluate: -30 + (-516 - (-4 - (-95)))", "solution_steps": ["Subtract: -4 - (-95) = 91", "Subtract: -516 - 91 = -607", "Add: -30 + (-607) = -637"], "final_answer": "-637", "answer_type": "integer", "kind": "expression", "math_text": "-30 + (-516 - (-4 - (-95)))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": -516, \"c\": -4, \"d\": -95}", "seed": "17650279474449707456", "semantic_fingerprint": "sha256:e98fa4c5a0cdb3803e8c7e38f717168c056e80863dd3d982cc3c3890b5c97098", "generator_version": "3.0"}
{"id": "v3_test_id_00001203", "prompt": "Solve for x: 9x + 277 = -8(x - 24)", "solution_steps": ["Expand: 9x + 277 = -8x + 192", "Add 8x to both sides: 17x + 277 = 192", "Subtract 277 from both sides: 17x = -85", "Divide both sides by 17: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x + 277 = -8(x - 24)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -8, \"c\": 24, \"e\": 277, \"x\": -5}", "seed": "17455479094076821663", "semantic_fingerprint": "sha256:f239c67058eaf60154e6df4e057d4a8ed51e5b8416389e8279295095b786a8b6", "generator_version": "3.0"}
{"id": "v3_test_id_00001204", "prompt": "Evaluate: -2 - (-55 + 34) - (-681)", "solution_steps": ["Add: -55 + 34 = -21", "Subtract: -2 - (-21) = 19", "Subtract: 19 - (-681) = 700"], "final_answer": "700", "answer_type": "integer", "kind": "expression", "math_text": "-2 - (-55 + 34) - (-681)", "variable": null, "family": "expression_3op", "shape": "(- (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -55, \"c\": 34, \"d\": -681}", "seed": "2985141552198315635", "semantic_fingerprint": "sha256:d1b3a2cb9e4444d0dd74982edc324c3616769a90f01cfed5912aa99819df44f0", "generator_version": "3.0"}
{"id": "v3_test_id_00001205", "prompt": "What is 58 / (212 / (-34)) - 85?", "solution_steps": ["Divide: 212 / (-34) = -106/17", "Divide: 58 / (-106/17) = -493/53", "Subtract: -493/53 - 85 = -4998/53"], "final_answer": "-4998/53", "answer_type": "rational", "kind": "expression", "math_text": "58 / (212 / (-34)) - 85", "variable": null, "family": "expression_3op", "shape": "(- (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": 212, \"c\": -34, \"d\": 85}", "seed": "3133517496852124626", "semantic_fingerprint": "sha256:82c96164ec68c8947b4ce777b552b9e51678369596e0ee0e816d30f5a7fe7e35", "generator_version": "3.0"}
{"id": "v3_test_id_00001206", "prompt": "Solve for x: x + 897 = 7x + 3", "solution_steps": ["Subtract 7x from both sides: -6x + 897 = 3", "Subtract 897 from both sides: -6x = -894", "Divide both sides by -6: x = 149"], "final_answer": "149", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 897 = 7x + 3", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 897, \"b\": 7, \"c\": 3}", "seed": "1367983777838948372", "semantic_fingerprint": "sha256:b152bd3cd31e894c3305261e456a347e6ce11f04e621ae13988d86c43ba8cc26", "generator_version": "3.0"}
{"id": "v3_test_id_00001207", "prompt": "Calculate: 311 * (-10)", "solution_steps": ["Multiply: 311 * (-10) = -3110"], "final_answer": "-3110", "answer_type": "integer", "kind": "expression", "math_text": "311 * (-10)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 311, \"b\": -10}", "seed": "5417479234507888186", "semantic_fingerprint": "sha256:72750d0bb5fa9934f2901060c4fd32a5f233b9d8d394ce4d211bcdc5ce4a53ed", "generator_version": "3.0"}
{"id": "v3_test_id_00001208", "prompt": "Solve the equation -4(x + 4) = 5(x + 92) - 557 for x.", "solution_steps": ["Expand: -4x - 16 = 5(x + 92) - 557", "Expand: -4x - 16 = 5x + 460 - 557", "Combine constants: -4x - 16 = 5x - 97", "Subtract 5x from both sides: -9x - 16 = -97", "Add 16 to both sides: -9x = -81", "Divide both sides by -9: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 4) = 5(x + 92) - 557", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 4, \"c\": 5, \"d\": 92, \"f\": -557, \"x\": 9}", "seed": "14318691809680356451", "semantic_fingerprint": "sha256:67338c90a181e1220fee7b90a7b499f61f08cf9f8a7ba22544699d947737c508", "generator_version": "3.0"}
{"id": "v3_test_id_00001209", "prompt": "What is 79 + ((94 - 18) / 304 + 661)?", "solution_steps": ["Subtract: 94 - 18 = 76", "Divide: 76 / 304 = 1/4", "Add: 1/4 + 661 = 2645/4", "Add: 79 + 2645/4 = 2961/4"], "final_answer": "2961/4", "answer_type": "rational", "kind": "expression", "math_text": "79 + ((94 - 18) / 304 + 661)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (/ (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": 94, \"c\": 18, \"d\": 304, \"e\": 661}", "seed": "17748530699978196073", "semantic_fingerprint": "sha256:add923d2b311574099105216d4d46bd0afb82a41d8a1145e6640b61d7b0a3f7d", "generator_version": "3.0"}
{"id": "v3_test_id_00001210", "prompt": "Calculate: 834 - 2 / (3 + 1)", "solution_steps": ["Add: 3 + 1 = 4", "Divide: 2 / 4 = 1/2", "Subtract: 834 - 1/2 = 1667/2"], "final_answer": "1667/2", "answer_type": "rational", "kind": "expression", "math_text": "834 - 2 / (3 + 1)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 834, \"b\": 2, \"c\": 3, \"d\": 1}", "seed": "11376587271639954860", "semantic_fingerprint": "sha256:2cbf2e290d910695eaf21e6f107601e61e91a114b80b2e1257aa84418e9e4be8", "generator_version": "3.0"}
{"id": "v3_test_id_00001211", "prompt": "What is 71 + 57 - (-6)?", "solution_steps": ["Add: 71 + 57 = 128", "Subtract: 128 - (-6) = 134"], "final_answer": "134", "answer_type": "integer", "kind": "expression", "math_text": "71 + 57 - (-6)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": 57, \"c\": -6}", "seed": "9373897404154862367", "semantic_fingerprint": "sha256:f56d001923c0579b7656ea38af9e785742cd7b7a2531dc911ae06d7b36abb302", "generator_version": "3.0"}
{"id": "v3_test_id_00001212", "prompt": "Solve the equation x = 10x - 99 for x.", "solution_steps": ["Subtract 10x from both sides: -9x = -99", "Divide both sides by -9: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 10x - 99", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 10, \"c\": -99, \"x\": 11}", "seed": "9471594709859231935", "semantic_fingerprint": "sha256:936c321730dae6e066912691d2d483149e591d64107fcb0dfb77d84a950bef08", "generator_version": "3.0"}
{"id": "v3_test_id_00001213", "prompt": "Evaluate: -46 + (-5) * 60 - (988 - 688)", "solution_steps": ["Multiply: -5 * 60 = -300", "Add: -46 + (-300) = -346", "Subtract: 988 - 688 = 300", "Subtract: -346 - 300 = -646"], "final_answer": "-646", "answer_type": "integer", "kind": "expression", "math_text": "-46 + (-5) * 60 - (988 - 688)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (* n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": -5, \"c\": 60, \"d\": 988, \"e\": 688}", "seed": "12739363419878665831", "semantic_fingerprint": "sha256:5b47a6f9b1e692c317a80fe1a1e441b200ac103dcc4509a43c82bdae8b4a92d0", "generator_version": "3.0"}
{"id": "v3_test_id_00001214", "prompt": "Compute: -1 / (45 + 708)", "solution_steps": ["Add: 45 + 708 = 753", "Divide: -1 / 753 = -1/753"], "final_answer": "-1/753", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (45 + 708)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 45, \"c\": 708}", "seed": "8027869567922294828", "semantic_fingerprint": "sha256:b909b545ecfecad78bb66a007b6c20c924c75aa6daa0420b50435ab62ddac2bb", "generator_version": "3.0"}
{"id": "v3_test_id_00001215", "prompt": "What value of x satisfies -5(x - 13) = 2x?", "solution_steps": ["Expand: -5x + 65 = 2x", "Subtract 2x from both sides: -7x + 65 = 0", "Subtract 65 from both sides: -7x = -65", "Divide both sides by -7: x = 65/7"], "final_answer": "65/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 13) = 2x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 13, \"c\": 2}", "seed": "7553130647544906459", "semantic_fingerprint": "sha256:cced474f00eb45c9aa60fd658001e8f245b56fddcfb7196efc0cd1193ea8a57e", "generator_version": "3.0"}
{"id": "v3_test_id_00001216", "prompt": "What value of x satisfies x + 90 = -10x + 244?", "solution_steps": ["Add 10x to both sides: 11x + 90 = 244", "Subtract 90 from both sides: 11x = 154", "Divide both sides by 11: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 90 = -10x + 244", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": -10, \"d\": 244, \"x\": 14}", "seed": "7834670738998689205", "semantic_fingerprint": "sha256:31c4a38575e79b68073d0725426c5f141a03f2e46eaf64abd959c9f29c3ca94e", "generator_version": "3.0"}
{"id": "v3_test_id_00001217", "prompt": "What value of x satisfies -2(x - 12) - 87 = -7(x + 57) - 50?", "solution_steps": ["Expand: -2x + 24 - 87 = -7(x + 57) - 50", "Expand: -2x + 24 - 87 = -7x - 399 - 50", "Combine constants: -2x - 63 = -7x - 399 - 50", "Combine constants: -2x - 63 = -7x - 449", "Add 7x to both sides: 5x - 63 = -449", "Add 63 to both sides: 5x = -386", "Divide both sides by 5: x = -386/5"], "final_answer": "-386/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x - 12) - 87 = -7(x + 57) - 50", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 12, \"c\": 87, \"d\": -7, \"e\": 57, \"f\": 50}", "seed": "9877465480928559889", "semantic_fingerprint": "sha256:b7d890b4c0af87f1a9ba2c7fb980c9bf50aea610f5921f1a2d57e83d15f5a3db", "generator_version": "3.0"}
{"id": "v3_test_id_00001218", "prompt": "Calculate: 560 - (-7) - (-12)", "solution_steps": ["Subtract: 560 - (-7) = 567", "Subtract: 567 - (-12) = 579"], "final_answer": "579", "answer_type": "integer", "kind": "expression", "math_text": "560 - (-7) - (-12)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 560, \"b\": -7, \"c\": -12}", "seed": "17940608305802432815", "semantic_fingerprint": "sha256:51d2ab2b8a15957cc73ca466f458d96da65886e4b5125bb9640eafa525480d77", "generator_version": "3.0"}
{"id": "v3_test_id_00001219", "prompt": "Calculate: 99 / (-7) / (57 - 121)", "solution_steps": ["Divide: 99 / (-7) = -99/7", "Subtract: 57 - 121 = -64", "Divide: (-99/7) / (-64) = 99/448"], "final_answer": "99/448", "answer_type": "rational", "kind": "expression", "math_text": "99 / (-7) / (57 - 121)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": -7, \"c\": 57, \"d\": 121}", "seed": "14584894506222243352", "semantic_fingerprint": "sha256:4f6551eb9fa97654522f9c438b4d61de509625f29ada352804bed6b33d1641d3", "generator_version": "3.0"}
{"id": "v3_test_id_00001220", "prompt": "Find x: 4(x + 8) - 1 = -9(x + 8) + 220", "solution_steps": ["Expand: 4x + 32 - 1 = -9(x + 8) + 220", "Expand: 4x + 32 - 1 = -9x - 72 + 220", "Combine constants: 4x + 31 = -9x - 72 + 220", "Combine constants: 4x + 31 = -9x + 148", "Add 9x to both sides: 13x + 31 = 148", "Subtract 31 from both sides: 13x = 117", "Divide both sides by 13: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 8) - 1 = -9(x + 8) + 220", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 8, \"c\": 1, \"d\": -9, \"e\": 8, \"g\": 220, \"x\": 9}", "seed": "5745662667728773724", "semantic_fingerprint": "sha256:ac032a4c576c829a14afe1822e1e07e774329f697a256f0e8d0bc67b63cf823a", "generator_version": "3.0"}
{"id": "v3_test_id_00001221", "prompt": "Solve the equation x = 11(x - 86) + 976 for x.", "solution_steps": ["Expand: x = 11x - 946 + 976", "Combine constants: x = 11x + 30", "Subtract 11x from both sides: -10x = 30", "Divide both sides by -10: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 11(x - 86) + 976", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 86, \"d\": 976, \"x\": -3}", "seed": "11283179422206210815", "semantic_fingerprint": "sha256:1863cc8b232cd2815d775b3575759a39cdd67bc8c52d07649e9fee10ade6b5f1", "generator_version": "3.0"}
{"id": "v3_test_id_00001222", "prompt": "Find x: 2x + 37 = x + 45", "solution_steps": ["Subtract x from both sides: x + 37 = 45", "Subtract 37 from both sides: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x + 37 = x + 45", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 37, \"d\": 45, \"x\": 8}", "seed": "12114879624148487102", "semantic_fingerprint": "sha256:e18e4348ced6de7e4f77087f6b89ab9e151483852ad86d46d44c3676d42d21d2", "generator_version": "3.0"}
{"id": "v3_test_id_00001223", "prompt": "Solve for x: -5(x - 31) - 1 = 2(x + 6) + 93", "solution_steps": ["Expand: -5x + 155 - 1 = 2(x + 6) + 93", "Expand: -5x + 155 - 1 = 2x + 12 + 93", "Combine constants: -5x + 154 = 2x + 12 + 93", "Combine constants: -5x + 154 = 2x + 105", "Subtract 2x from both sides: -7x + 154 = 105", "Subtract 154 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 - 31) - 1 = 2(x + 6) + 93", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 31, \"c\": 1, \"d\": 2, \"e\": 6, \"g\": 93, \"x\": 7}", "seed": "14541348045695997629", "semantic_fingerprint": "sha256:087b44ef8021356b1196a3b52dc7b0385e69471ec20436cc86f5e7bdb0614010", "generator_version": "3.0"}
{"id": "v3_test_id_00001224", "prompt": "What is -3 * (-92 / 9 * (833 + 4))?", "solution_steps": ["Divide: -92 / 9 = -92/9", "Add: 833 + 4 = 837", "Multiply: (-92/9) * 837 = -8556", "Multiply: -3 * (-8556) = 25668"], "final_answer": "25668", "answer_type": "integer", "kind": "expression", "math_text": "-3 * (-92 / 9 * (833 + 4))", "variable": null, "family": "expression_4op", "shape": "(* n (* (/ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -92, \"c\": 9, \"d\": 833, \"e\": 4}", "seed": "14309208816129412064", "semantic_fingerprint": "sha256:2d1add1c238f5b8c1148c33ea0f6e0d410f10a52d2694c21cd63da8729e55032", "generator_version": "3.0"}
{"id": "v3_test_id_00001225", "prompt": "Solve the equation 6(x + 58) = 7(x + 195) for x.", "solution_steps": ["Expand: 6x + 348 = 7(x + 195)", "Expand: 6x + 348 = 7x + 1365", "Subtract 7x from both sides: -x + 348 = 1365", "Subtract 348 from both sides: -x = 1017", "Divide both sides by -1: x = -1017"], "final_answer": "-1017", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 58) = 7(x + 195)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 58, \"c\": 7, \"d\": 195}", "seed": "2928415074958439984", "semantic_fingerprint": "sha256:862f548ca823878cfcb5c17289391009b3e23b00de1c9e2ab593dcb4f6ad740e", "generator_version": "3.0"}
{"id": "v3_test_id_00001226", "prompt": "Evaluate: 0 + (-815 - (-8) * (-79) * (-942))", "solution_steps": ["Multiply: -8 * (-79) = 632", "Multiply: 632 * (-942) = -595344", "Subtract: -815 - (-595344) = 594529", "Add: 0 + 594529 = 594529"], "final_answer": "594529", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-815 - (-8) * (-79) * (-942))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (* (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -815, \"c\": -8, \"d\": -79, \"e\": -942}", "seed": "7637997247255119486", "semantic_fingerprint": "sha256:569a23b2562f61645e74780620d193260c222b229d10fb3419f746a93a821f19", "generator_version": "3.0"}
{"id": "v3_test_id_00001227", "prompt": "Evaluate: (-330 - (68 - (-26))) / (38 / (113 + 99))", "solution_steps": ["Subtract: 68 - (-26) = 94", "Subtract: -330 - 94 = -424", "Add: 113 + 99 = 212", "Divide: 38 / 212 = 19/106", "Divide: -424 / (19/106) = -44944/19"], "final_answer": "-44944/19", "answer_type": "rational", "kind": "expression", "math_text": "(-330 - (68 - (-26))) / (38 / (113 + 99))", "variable": null, "family": "expression_5op", "shape": "(/ (- n (- n n)) (/ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -330, \"b\": 68, \"c\": -26, \"d\": 38, \"e\": 113, \"f\": 99}", "seed": "7813264983842819106", "semantic_fingerprint": "sha256:3151353b317c1007b5da2bf932ebb3d0ae649fb464b07a1f2d13e610d112cd1c", "generator_version": "3.0"}
{"id": "v3_test_id_00001228", "prompt": "Compute: -655 * (-7 - (-493)) - (-69)", "solution_steps": ["Subtract: -7 - (-493) = 486", "Multiply: -655 * 486 = -318330", "Subtract: -318330 - (-69) = -318261"], "final_answer": "-318261", "answer_type": "integer", "kind": "expression", "math_text": "-655 * (-7 - (-493)) - (-69)", "variable": null, "family": "expression_3op", "shape": "(- (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -655, \"b\": -7, \"c\": -493, \"d\": -69}", "seed": "12582388854755160268", "semantic_fingerprint": "sha256:bec8600ba4ca149254bdb7fcf09e8158ebc8a68d2b07fe3a05ed0f033d00a655", "generator_version": "3.0"}
{"id": "v3_test_id_00001229", "prompt": "Evaluate: 408 + (-545) - (-3 - 8)", "solution_steps": ["Add: 408 + (-545) = -137", "Subtract: -3 - 8 = -11", "Subtract: -137 - (-11) = -126"], "final_answer": "-126", "answer_type": "integer", "kind": "expression", "math_text": "408 + (-545) - (-3 - 8)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 408, \"b\": -545, \"c\": -3, \"d\": 8}", "seed": "6687798247959056094", "semantic_fingerprint": "sha256:6e8f105c320be003fb51ea10a1a327606ca77b5d4dbea7fd3da84df5d145e0b2", "generator_version": "3.0"}
{"id": "v3_test_id_00001230", "prompt": "Evaluate: -38 - 9", "solution_steps": ["Subtract: -38 - 9 = -47"], "final_answer": "-47", "answer_type": "integer", "kind": "expression", "math_text": "-38 - 9", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": 9}", "seed": "13119761501047921967", "semantic_fingerprint": "sha256:06d07c230f8143001a68f32f7d755978653fbd08d34ef0095378f2f5efebcd84", "generator_version": "3.0"}
{"id": "v3_test_id_00001231", "prompt": "Calculate: 1 - (-7)", "solution_steps": ["Subtract: 1 - (-7) = 8"], "final_answer": "8", "answer_type": "integer", "kind": "expression", "math_text": "1 - (-7)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -7}", "seed": "1527060548806779102", "semantic_fingerprint": "sha256:59c52aaaa90d8bee9b209d087fc549660e312d54044a44bc304747f8ef2c4b8e", "generator_version": "3.0"}
{"id": "v3_test_id_00001232", "prompt": "Evaluate: 0 / (-2) + (62 + (-72 - 14))", "solution_steps": ["Divide: 0 / (-2) = 0", "Subtract: -72 - 14 = -86", "Add: 62 + (-86) = -24", "Add: 0 + (-24) = -24"], "final_answer": "-24", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-2) + (62 + (-72 - 14))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -2, \"c\": 62, \"d\": -72, \"e\": 14}", "seed": "11903965863231210396", "semantic_fingerprint": "sha256:771e2d2d12374f3e7cfd4a9af2bc6bfc175222584774d1d84d76eaf113380bd5", "generator_version": "3.0"}
{"id": "v3_test_id_00001233", "prompt": "Find x: x = 7(x - 765)", "solution_steps": ["Expand: x = 7x - 5355", "Subtract 7x from both sides: -6x = -5355", "Divide both sides by -6: x = 1785/2"], "final_answer": "1785/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 7(x - 765)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 765}", "seed": "6192132874341454244", "semantic_fingerprint": "sha256:9f0587d403d599b485fdd67837c7795c75cd891e1bb3469c94d3b32461c08704", "generator_version": "3.0"}
{"id": "v3_test_id_00001234", "prompt": "Calculate: 171 * (-27 * (-34) - (94 + 79))", "solution_steps": ["Multiply: -27 * (-34) = 918", "Add: 94 + 79 = 173", "Subtract: 918 - 173 = 745", "Multiply: 171 * 745 = 127395"], "final_answer": "127395", "answer_type": "integer", "kind": "expression", "math_text": "171 * (-27 * (-34) - (94 + 79))", "variable": null, "family": "expression_4op", "shape": "(* n (- (* n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 171, \"b\": -27, \"c\": -34, \"d\": 94, \"e\": 79}", "seed": "5003650748426030676", "semantic_fingerprint": "sha256:b9fad78f6f2033910d6e682522ff5e8af78f288b14df5f6cd5750c2257b0ee81", "generator_version": "3.0"}
{"id": "v3_test_id_00001235", "prompt": "What is -27 + (78 - (-4))?", "solution_steps": ["Subtract: 78 - (-4) = 82", "Add: -27 + 82 = 55"], "final_answer": "55", "answer_type": "integer", "kind": "expression", "math_text": "-27 + (78 - (-4))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": 78, \"c\": -4}", "seed": "1274624491243100574", "semantic_fingerprint": "sha256:f19b9ec9ce862a6fe1cf355aaa427cb2f082f401d946f939fcd713d29ab020ba", "generator_version": "3.0"}
{"id": "v3_test_id_00001236", "prompt": "What is 888 / 31 * 9?", "solution_steps": ["Divide: 888 / 31 = 888/31", "Multiply: (888/31) * 9 = 7992/31"], "final_answer": "7992/31", "answer_type": "rational", "kind": "expression", "math_text": "888 / 31 * 9", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 888, \"b\": 31, \"c\": 9}", "seed": "15922076882588366530", "semantic_fingerprint": "sha256:9a7ff775b2388f47a24d9319cc3356c4fb3d9130d4ab79bc2d9acea9250ba82a", "generator_version": "3.0"}
{"id": "v3_test_id_00001237", "prompt": "Compute: 32 * 8 * 9 + (-24) - 1", "solution_steps": ["Multiply: 32 * 8 = 256", "Multiply: 256 * 9 = 2304", "Add: 2304 + (-24) = 2280", "Subtract: 2280 - 1 = 2279"], "final_answer": "2279", "answer_type": "integer", "kind": "expression", "math_text": "32 * 8 * 9 + (-24) - 1", "variable": null, "family": "expression_4op", "shape": "(- (+ (* (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": 8, \"c\": 9, \"d\": -24, \"e\": 1}", "seed": "3453769127649496041", "semantic_fingerprint": "sha256:a0c2c2eaf42e18d47369a385da4415f8c66d31162d3046af7104fb1f83c69835", "generator_version": "3.0"}
{"id": "v3_test_id_00001238", "prompt": "Evaluate: (-162 / 3 + 5) * (0 / (-512))", "solution_steps": ["Divide: -162 / 3 = -54", "Add: -54 + 5 = -49", "Divide: 0 / (-512) = 0", "Multiply: -49 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-162 / 3 + 5) * (0 / (-512))", "variable": null, "family": "expression_4op", "shape": "(* (+ (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -162, \"b\": 3, \"c\": 5, \"d\": 0, \"e\": -512}", "seed": "8465124593427276750", "semantic_fingerprint": "sha256:81067b3f92123f27f31b6e5396f769c34805ec3af6cf5e2f0526b0f18c836609", "generator_version": "3.0"}
{"id": "v3_test_id_00001239", "prompt": "What is -1 + (-796) + (-92) / (5 * (-117))?", "solution_steps": ["Add: -1 + (-796) = -797", "Multiply: 5 * (-117) = -585", "Divide: -92 / (-585) = 92/585", "Add: -797 + 92/585 = -466153/585"], "final_answer": "-466153/585", "answer_type": "rational", "kind": "expression", "math_text": "-1 + (-796) + (-92) / (5 * (-117))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (/ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -796, \"c\": -92, \"d\": 5, \"e\": -117}", "seed": "13242177148491469987", "semantic_fingerprint": "sha256:b15ff854f24cd7461ba96c9c80924ec0b8e4ff2ab009f2af20380b434e58b037", "generator_version": "3.0"}
{"id": "v3_test_id_00001240", "prompt": "Solve the equation x - 2 = -4x + 1 for x.", "solution_steps": ["Add 4x to both sides: 5x - 2 = 1", "Add 2 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": "x - 2 = -4x + 1", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -4, \"c\": 1}", "seed": "2588613081331131631", "semantic_fingerprint": "sha256:77280bb0edb9d219d78d62ad4be97ab33815c33678f6d56416abf55a6d16143a", "generator_version": "3.0"}
{"id": "v3_test_id_00001241", "prompt": "Solve for x: -12x = x", "solution_steps": ["Subtract x from both sides: -13x = 0", "Divide both sides by -13: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -12}", "seed": "11927566505312841553", "semantic_fingerprint": "sha256:bdfaf486f7542afad63e57cef9464d0e21fbcd8d872bd87b285c7eaab18b96a3", "generator_version": "3.0"}
{"id": "v3_test_id_00001242", "prompt": "What is -2 * (-9 / 24 + (-58) / (-7))?", "solution_steps": ["Divide: -9 / 24 = -3/8", "Divide: -58 / (-7) = 58/7", "Add: -3/8 + 58/7 = 443/56", "Multiply: -2 * (443/56) = -443/28"], "final_answer": "-443/28", "answer_type": "rational", "kind": "expression", "math_text": "-2 * (-9 / 24 + (-58) / (-7))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (/ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -9, \"c\": 24, \"d\": -58, \"e\": -7}", "seed": "9946936897550281895", "semantic_fingerprint": "sha256:2787c7250f2137c4db3d6e1b703ae61ab9d1f87f52967846b237ecb7bff47173", "generator_version": "3.0"}
{"id": "v3_test_id_00001243", "prompt": "Solve the equation 12(x + 98) = -7(x + 997) for x.", "solution_steps": ["Expand: 12x + 1176 = -7(x + 997)", "Expand: 12x + 1176 = -7x - 6979", "Add 7x to both sides: 19x + 1176 = -6979", "Subtract 1176 from both sides: 19x = -8155", "Divide both sides by 19: x = -8155/19"], "final_answer": "-8155/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 98) = -7(x + 997)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 98, \"c\": -7, \"d\": 997}", "seed": "18249734396582833680", "semantic_fingerprint": "sha256:dc3d062c3170423c726c29d4ac48962f5d9408fa942fdbb903eadd909bdb1409", "generator_version": "3.0"}
{"id": "v3_test_id_00001244", "prompt": "Calculate: 2 / (1 + 32)", "solution_steps": ["Add: 1 + 32 = 33", "Divide: 2 / 33 = 2/33"], "final_answer": "2/33", "answer_type": "rational", "kind": "expression", "math_text": "2 / (1 + 32)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 1, \"c\": 32}", "seed": "8378266615388716534", "semantic_fingerprint": "sha256:0b3a7f944c9f70686198394e5361cbf9412161a1041570ea48ba72d13189c23c", "generator_version": "3.0"}
{"id": "v3_test_id_00001245", "prompt": "Solve for x: 6(x - 7) = 8(x - 61) + 879", "solution_steps": ["Expand: 6x - 42 = 8(x - 61) + 879", "Expand: 6x - 42 = 8x - 488 + 879", "Combine constants: 6x - 42 = 8x + 391", "Subtract 8x from both sides: -2x - 42 = 391", "Add 42 to both sides: -2x = 433", "Divide both sides by -2: x = -433/2"], "final_answer": "-433/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 7) = 8(x - 61) + 879", "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\": 8, \"d\": 61, \"e\": 879}", "seed": "5067453940895454814", "semantic_fingerprint": "sha256:014467e3f1a71f390e6037ff2a7582619a702ffb37a9d7f2b566995d7b4f87c7", "generator_version": "3.0"}
{"id": "v3_test_id_00001246", "prompt": "Compute: -860 / 9 * (0 * 6) + (-528)", "solution_steps": ["Divide: -860 / 9 = -860/9", "Multiply: 0 * 6 = 0", "Multiply: (-860/9) * 0 = 0", "Add: 0 + (-528) = -528"], "final_answer": "-528", "answer_type": "integer", "kind": "expression", "math_text": "-860 / 9 * (0 * 6) + (-528)", "variable": null, "family": "expression_4op", "shape": "(+ (* (/ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -860, \"b\": 9, \"c\": 0, \"d\": 6, \"e\": -528}", "seed": "15191690439650765958", "semantic_fingerprint": "sha256:e3720b73ae1a2f2a782699110a53875f7fcbde20879bdbeb3ce7caab418e2c58", "generator_version": "3.0"}
{"id": "v3_test_id_00001247", "prompt": "Find x: 6(x + 2) + 29 = 7(x + 3)", "solution_steps": ["Expand: 6x + 12 + 29 = 7(x + 3)", "Expand: 6x + 12 + 29 = 7x + 21", "Combine constants: 6x + 41 = 7x + 21", "Subtract 7x from both sides: -x + 41 = 21", "Subtract 41 from both sides: -x = -20", "Divide both sides by -1: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 2) + 29 = 7(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\": 2, \"c\": 7, \"d\": 3, \"f\": 29, \"x\": 20}", "seed": "2972727120796591920", "semantic_fingerprint": "sha256:96d99e1e0257ba2d9e023b35be2b226bf5ee7f3f283505343b7dd0eca2312a7e", "generator_version": "3.0"}
{"id": "v3_test_id_00001248", "prompt": "Compute: 6 - (-3) * (-9)", "solution_steps": ["Multiply: -3 * (-9) = 27", "Subtract: 6 - 27 = -21"], "final_answer": "-21", "answer_type": "integer", "kind": "expression", "math_text": "6 - (-3) * (-9)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -3, \"c\": -9}", "seed": "376799681732430926", "semantic_fingerprint": "sha256:9b44ed54e987838bf412ef25126016d2d0ba773f83277541e195e4766ac5d978", "generator_version": "3.0"}
{"id": "v3_test_id_00001249", "prompt": "What value of x satisfies 12(x - 5) - 166 = -8x?", "solution_steps": ["Expand: 12x - 60 - 166 = -8x", "Combine constants: 12x - 226 = -8x", "Add 8x to both sides: 20x - 226 = 0", "Add 226 to both sides: 20x = 226", "Divide both sides by 20: x = 113/10"], "final_answer": "113/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 5) - 166 = -8x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": 166, \"d\": -8}", "seed": "2212551555155002656", "semantic_fingerprint": "sha256:1c245d236c47a02b52ff2da3931b33e3a0eff3fda8d8d32d5a823b3f7249439e", "generator_version": "3.0"}
{"id": "v3_test_id_00001250", "prompt": "Find x: 10x + 18 = 8x", "solution_steps": ["Subtract 8x from both sides: 2x + 18 = 0", "Subtract 18 from both sides: 2x = -18", "Divide both sides by 2: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x + 18 = 8x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 8, \"d\": 18, \"x\": -9}", "seed": "17001092719873591927", "semantic_fingerprint": "sha256:94fdce3225a2b0eb3bfc601b2eaf375d3da53c9970a91d35a7825587863ef249", "generator_version": "3.0"}
{"id": "v3_test_id_00001251", "prompt": "What is -206 - (25 + 92) - (-388)?", "solution_steps": ["Add: 25 + 92 = 117", "Subtract: -206 - 117 = -323", "Subtract: -323 - (-388) = 65"], "final_answer": "65", "answer_type": "integer", "kind": "expression", "math_text": "-206 - (25 + 92) - (-388)", "variable": null, "family": "expression_3op", "shape": "(- (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -206, \"b\": 25, \"c\": 92, \"d\": -388}", "seed": "17472639321209863229", "semantic_fingerprint": "sha256:61926b7f0d9e9df2e9b38bcc21ebae9dbfd3d63e5ffd1b081b2a39206604c7dd", "generator_version": "3.0"}
{"id": "v3_test_id_00001252", "prompt": "Solve for x: 12x = -60", "solution_steps": ["Divide both sides by 12: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = -60", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"c\": -60, \"x\": -5}", "seed": "13049098780244767107", "semantic_fingerprint": "sha256:9c3735ea5fe179c9f4dd76c1e25b44083e9794fafd00977ad1de00873714812f", "generator_version": "3.0"}
{"id": "v3_test_id_00001253", "prompt": "Evaluate: 22 / 87", "solution_steps": ["Divide: 22 / 87 = 22/87"], "final_answer": "22/87", "answer_type": "rational", "kind": "expression", "math_text": "22 / 87", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": 87}", "seed": "9313025761494112289", "semantic_fingerprint": "sha256:e81eae0efe1b56d3fd9b0b270537fecff85859117275d92824c24115965a692d", "generator_version": "3.0"}
{"id": "v3_test_id_00001254", "prompt": "Calculate: 82 + 27", "solution_steps": ["Add: 82 + 27 = 109"], "final_answer": "109", "answer_type": "integer", "kind": "expression", "math_text": "82 + 27", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": 27}", "seed": "17085073766594588570", "semantic_fingerprint": "sha256:9db93cae9ebc36e12fccf074dee831f69caebd51a9469cd33ca4f9c5e324a859", "generator_version": "3.0"}
{"id": "v3_test_id_00001255", "prompt": "What is -72 * (-1 + 396)?", "solution_steps": ["Add: -1 + 396 = 395", "Multiply: -72 * 395 = -28440"], "final_answer": "-28440", "answer_type": "integer", "kind": "expression", "math_text": "-72 * (-1 + 396)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": -1, \"c\": 396}", "seed": "14979013656279989479", "semantic_fingerprint": "sha256:deb945b0c9f9d1095d5bd93fec3dfd4ee01587a0d4aac72b9a2015fe2c1dd922", "generator_version": "3.0"}
{"id": "v3_test_id_00001256", "prompt": "What is (41 + (-90)) * (-8 * 8)?", "solution_steps": ["Add: 41 + (-90) = -49", "Multiply: -8 * 8 = -64", "Multiply: -49 * (-64) = 3136"], "final_answer": "3136", "answer_type": "integer", "kind": "expression", "math_text": "(41 + (-90)) * (-8 * 8)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": -90, \"c\": -8, \"d\": 8}", "seed": "3693077672366675878", "semantic_fingerprint": "sha256:ca62808e2202e5719c8591e0eccd73589d84635eb746124fd154c0a2585a2c13", "generator_version": "3.0"}
{"id": "v3_test_id_00001257", "prompt": "What value of x satisfies x + 6 = 10x + 6?", "solution_steps": ["Subtract 10x from both sides: -9x + 6 = 6", "Subtract 6 from both sides: -9x = 0", "Divide both sides by -9: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 6 = 10x + 6", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 10, \"c\": 6}", "seed": "3353509547583729518", "semantic_fingerprint": "sha256:0c7eb9ba0e531cae41e9d3fc703700f40f49747e99491285081f072ec21fc527", "generator_version": "3.0"}
{"id": "v3_test_id_00001258", "prompt": "What value of x satisfies 5x - 822 = -11(x + 6) - 532?", "solution_steps": ["Expand: 5x - 822 = -11x - 66 - 532", "Combine constants: 5x - 822 = -11x - 598", "Add 11x to both sides: 16x - 822 = -598", "Add 822 to both sides: 16x = 224", "Divide both sides by 16: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 822 = -11(x + 6) - 532", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 822, \"c\": -11, \"d\": 6, \"f\": -532, \"x\": 14}", "seed": "9475170583839046221", "semantic_fingerprint": "sha256:999358c56df20001fe98655201014ffef8c8e05c2009bdc60f86cb2ea24c2c6f", "generator_version": "3.0"}
{"id": "v3_test_id_00001259", "prompt": "Compute: -10 / (267 - (-596))", "solution_steps": ["Subtract: 267 - (-596) = 863", "Divide: -10 / 863 = -10/863"], "final_answer": "-10/863", "answer_type": "rational", "kind": "expression", "math_text": "-10 / (267 - (-596))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 267, \"c\": -596}", "seed": "8086959943609968363", "semantic_fingerprint": "sha256:881e6ae0dbfeedc93e6d3a2d77d8e118d12222c6494233e19381aefafacdb364", "generator_version": "3.0"}
{"id": "v3_test_id_00001260", "prompt": "Solve the equation 8(x - 24) + 25 = x for x.", "solution_steps": ["Expand: 8x - 192 + 25 = x", "Combine constants: 8x - 167 = x", "Subtract x from both sides: 7x - 167 = 0", "Add 167 to both sides: 7x = 167", "Divide both sides by 7: x = 167/7"], "final_answer": "167/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 24) + 25 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 24, \"c\": 25}", "seed": "16870793634938780797", "semantic_fingerprint": "sha256:40936c13101a17cdd5ebc471e1d434897a334cbeff36ba48adf686efba91f15e", "generator_version": "3.0"}
{"id": "v3_test_id_00001261", "prompt": "Solve for x: 2x + 81 = 11x + 252", "solution_steps": ["Subtract 11x from both sides: -9x + 81 = 252", "Subtract 81 from both sides: -9x = 171", "Divide both sides by -9: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x + 81 = 11x + 252", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 81, \"c\": 11, \"e\": 252, \"x\": -19}", "seed": "13261212279971666646", "semantic_fingerprint": "sha256:7df0af27a340a26cf1480a237fdd58876f87678244167f041fca94899f45457c", "generator_version": "3.0"}
{"id": "v3_test_id_00001262", "prompt": "Solve for x: 2x = 10(x - 7) + 30", "solution_steps": ["Expand: 2x = 10x - 70 + 30", "Combine constants: 2x = 10x - 40", "Subtract 10x from both sides: -8x = -40", "Divide both sides by -8: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = 10(x - 7) + 30", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 10, \"c\": 7, \"e\": 30, \"x\": 5}", "seed": "2475927203424433152", "semantic_fingerprint": "sha256:4351d4a6c462c719c233dddc6e4cc3d60b8e5a80be07b8936ba937b1de9639f3", "generator_version": "3.0"}
{"id": "v3_test_id_00001263", "prompt": "Evaluate: -588 * (65 - (-119))", "solution_steps": ["Subtract: 65 - (-119) = 184", "Multiply: -588 * 184 = -108192"], "final_answer": "-108192", "answer_type": "integer", "kind": "expression", "math_text": "-588 * (65 - (-119))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -588, \"b\": 65, \"c\": -119}", "seed": "10852874081265854103", "semantic_fingerprint": "sha256:1945697c8ec4c6500f8f8ebb07198d9142c22ed4ea8068aa61614bc9031c2332", "generator_version": "3.0"}
{"id": "v3_test_id_00001264", "prompt": "Compute: 48 * (-30) / (-330)", "solution_steps": ["Multiply: 48 * (-30) = -1440", "Divide: -1440 / (-330) = 48/11"], "final_answer": "48/11", "answer_type": "rational", "kind": "expression", "math_text": "48 * (-30) / (-330)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": -30, \"c\": -330}", "seed": "3947064547252965695", "semantic_fingerprint": "sha256:6b62bb2e6399dcd5a5e1443d9b221e82d1fe718abd430f451aba56b0f7d99cef", "generator_version": "3.0"}
{"id": "v3_test_id_00001265", "prompt": "What is -3 / (-51 / 33 - (18 + (-61)) - (-7))?", "solution_steps": ["Divide: -51 / 33 = -17/11", "Add: 18 + (-61) = -43", "Subtract: -17/11 - (-43) = 456/11", "Subtract: 456/11 - (-7) = 533/11", "Divide: -3 / (533/11) = -33/533"], "final_answer": "-33/533", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-51 / 33 - (18 + (-61)) - (-7))", "variable": null, "family": "expression_5op", "shape": "(/ n (- (- (/ n n) (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -51, \"c\": 33, \"d\": 18, \"e\": -61, \"f\": -7}", "seed": "4522409985523828041", "semantic_fingerprint": "sha256:ea2616a774c828924ad3bfe3b6a812d8b1a9c96441cad5c659d5f558c470ca70", "generator_version": "3.0"}
{"id": "v3_test_id_00001266", "prompt": "Calculate: 81 * 9 - 47", "solution_steps": ["Multiply: 81 * 9 = 729", "Subtract: 729 - 47 = 682"], "final_answer": "682", "answer_type": "integer", "kind": "expression", "math_text": "81 * 9 - 47", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": 9, \"c\": 47}", "seed": "6021244591117199122", "semantic_fingerprint": "sha256:f80d4ece5321fb5da6bdb9d68f85a42c5159accf68e0b32086a95f374f200a1f", "generator_version": "3.0"}
{"id": "v3_test_id_00001267", "prompt": "Compute: -985 + (-88 / 6 + 7 * (-188))", "solution_steps": ["Divide: -88 / 6 = -44/3", "Multiply: 7 * (-188) = -1316", "Add: -44/3 + (-1316) = -3992/3", "Add: -985 + (-3992/3) = -6947/3"], "final_answer": "-6947/3", "answer_type": "rational", "kind": "expression", "math_text": "-985 + (-88 / 6 + 7 * (-188))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (/ n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -985, \"b\": -88, \"c\": 6, \"d\": 7, \"e\": -188}", "seed": "15206010028577562785", "semantic_fingerprint": "sha256:298185c12117971bedbec11c48177b64e4ca298b3f9602eeab7df2c2050b167e", "generator_version": "3.0"}
{"id": "v3_test_id_00001268", "prompt": "What is -70 / 1?", "solution_steps": ["Divide: -70 / 1 = -70"], "final_answer": "-70", "answer_type": "integer", "kind": "expression", "math_text": "-70 / 1", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": 1}", "seed": "18214977583801908359", "semantic_fingerprint": "sha256:f57190f64ae54a64a507bc03f61f7ff76e72a86172d557c728d5174599881db5", "generator_version": "3.0"}
{"id": "v3_test_id_00001269", "prompt": "Find x: 3(x - 33) - 5 = -113", "solution_steps": ["Expand: 3x - 99 - 5 = -113", "Combine constants: 3x - 104 = -113", "Add 104 to both sides: 3x = -9", "Divide both sides by 3: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 33) - 5 = -113", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 33, \"c\": 5, \"e\": -113, \"x\": -3}", "seed": "17459492443145499535", "semantic_fingerprint": "sha256:d99a3b4187469302e9a19df5c76931de2f14e7f94122e0f83b648fdb2e2af53b", "generator_version": "3.0"}
{"id": "v3_test_id_00001270", "prompt": "What is -5 + (99 + (-5 + 91))?", "solution_steps": ["Add: -5 + 91 = 86", "Add: 99 + 86 = 185", "Add: -5 + 185 = 180"], "final_answer": "180", "answer_type": "integer", "kind": "expression", "math_text": "-5 + (99 + (-5 + 91))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 99, \"c\": -5, \"d\": 91}", "seed": "2010029924521368598", "semantic_fingerprint": "sha256:4dd22c019e11e3b85929734b5e662780d06f83a92c0a7bb1cc53de45e7cf3bf8", "generator_version": "3.0"}
{"id": "v3_test_id_00001271", "prompt": "Find x: -8x + 4 = 0", "solution_steps": ["Subtract 4 from both sides: -8x = -4", "Divide both sides by -8: x = 1/2"], "final_answer": "1/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8x + 4 = 0", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 4, \"c\": 0}", "seed": "18277719482090472708", "semantic_fingerprint": "sha256:ccaaa5ceef246fad8c2638e08eaa4a77c78b38f25329b774d72a99e61e899c08", "generator_version": "3.0"}
{"id": "v3_test_id_00001272", "prompt": "Solve the equation x - 28 = -4x - 58 for x.", "solution_steps": ["Add 4x to both sides: 5x - 28 = -58", "Add 28 to both sides: 5x = -30", "Divide both sides by 5: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 28 = -4x - 58", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": -4, \"d\": -58, \"x\": -6}", "seed": "15247446213053067559", "semantic_fingerprint": "sha256:7efabbba18843a763ffa935df0b529f6ef7594ff28ecc5a4feee44782af282c2", "generator_version": "3.0"}
{"id": "v3_test_id_00001273", "prompt": "What value of x satisfies -9(x + 283) = 3(x - 652) - 735?", "solution_steps": ["Expand: -9x - 2547 = 3(x - 652) - 735", "Expand: -9x - 2547 = 3x - 1956 - 735", "Combine constants: -9x - 2547 = 3x - 2691", "Subtract 3x from both sides: -12x - 2547 = -2691", "Add 2547 to both sides: -12x = -144", "Divide both sides by -12: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 283) = 3(x - 652) - 735", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 283, \"c\": 3, \"d\": 652, \"f\": -735, \"x\": 12}", "seed": "5440198084135373437", "semantic_fingerprint": "sha256:2e34feffb5007f3d81ac044ff62964c9e6259e2185fa0aaef6dea607071a19e1", "generator_version": "3.0"}
{"id": "v3_test_id_00001274", "prompt": "Find x: -4(x - 6) = 8(x + 8) - 256", "solution_steps": ["Expand: -4x + 24 = 8(x + 8) - 256", "Expand: -4x + 24 = 8x + 64 - 256", "Combine constants: -4x + 24 = 8x - 192", "Subtract 8x from both sides: -12x + 24 = -192", "Subtract 24 from both sides: -12x = -216", "Divide both sides by -12: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 6) = 8(x + 8) - 256", "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\": 8, \"d\": 8, \"f\": -256, \"x\": 18}", "seed": "2485401146083118610", "semantic_fingerprint": "sha256:537357c9fa6b3971a95a296352c44b522e9d7d773edeb01906b8ea622df5d871", "generator_version": "3.0"}
{"id": "v3_test_id_00001275", "prompt": "Compute: 0 + (-6 - 166 / 7)", "solution_steps": ["Divide: 166 / 7 = 166/7", "Subtract: -6 - 166/7 = -208/7", "Add: 0 + (-208/7) = -208/7"], "final_answer": "-208/7", "answer_type": "rational", "kind": "expression", "math_text": "0 + (-6 - 166 / 7)", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -6, \"c\": 166, \"d\": 7}", "seed": "8497651048532826275", "semantic_fingerprint": "sha256:1b1ea60f56b3c2c44e1c7b32d9a00d04648c2fa7dcfd25804e5c062208594e58", "generator_version": "3.0"}
{"id": "v3_test_id_00001276", "prompt": "Compute: -9 * (-66)", "solution_steps": ["Multiply: -9 * (-66) = 594"], "final_answer": "594", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (-66)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -66}", "seed": "5006723620829218623", "semantic_fingerprint": "sha256:9f83630f0a7651f42affc0519930eb6fd58b471f5898f04ebcdaa31c3c81af6a", "generator_version": "3.0"}
{"id": "v3_test_id_00001277", "prompt": "Evaluate: 968 - 149 - (-1 - (-24))", "solution_steps": ["Subtract: 968 - 149 = 819", "Subtract: -1 - (-24) = 23", "Subtract: 819 - 23 = 796"], "final_answer": "796", "answer_type": "integer", "kind": "expression", "math_text": "968 - 149 - (-1 - (-24))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 968, \"b\": 149, \"c\": -1, \"d\": -24}", "seed": "9144307747803860639", "semantic_fingerprint": "sha256:f68f78cec402f5d0b90f236e9daac39b8411b873af3398b01ddb529706a02d26", "generator_version": "3.0"}
{"id": "v3_test_id_00001278", "prompt": "Evaluate: -5 + (-424)", "solution_steps": ["Add: -5 + (-424) = -429"], "final_answer": "-429", "answer_type": "integer", "kind": "expression", "math_text": "-5 + (-424)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -424}", "seed": "9029213271415380559", "semantic_fingerprint": "sha256:21a6c146720230183b3903ba0874d34a33f2491b951b6b42ececbee24a626226", "generator_version": "3.0"}
{"id": "v3_test_id_00001279", "prompt": "Evaluate: 8 / (-25 * (-72)) * (-53)", "solution_steps": ["Multiply: -25 * (-72) = 1800", "Divide: 8 / 1800 = 1/225", "Multiply: (1/225) * (-53) = -53/225"], "final_answer": "-53/225", "answer_type": "rational", "kind": "expression", "math_text": "8 / (-25 * (-72)) * (-53)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -25, \"c\": -72, \"d\": -53}", "seed": "18240678770150203980", "semantic_fingerprint": "sha256:6689e1fdc5814a752b32bf9a3a80e6c1034ef52001f6d0c28d11f52822cafbc6", "generator_version": "3.0"}
{"id": "v3_test_id_00001280", "prompt": "What is 927 + (322 - 64) - (-9 + 53)?", "solution_steps": ["Subtract: 322 - 64 = 258", "Add: 927 + 258 = 1185", "Add: -9 + 53 = 44", "Subtract: 1185 - 44 = 1141"], "final_answer": "1141", "answer_type": "integer", "kind": "expression", "math_text": "927 + (322 - 64) - (-9 + 53)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 927, \"b\": 322, \"c\": 64, \"d\": -9, \"e\": 53}", "seed": "18205798733147637971", "semantic_fingerprint": "sha256:50b5abe13716876dd450281baf96f507c6a6135b15596041ce6ca137f610c493", "generator_version": "3.0"}
{"id": "v3_test_id_00001281", "prompt": "Compute: -8 + (-9)", "solution_steps": ["Add: -8 + (-9) = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (-9)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -9}", "seed": "16820194847478474797", "semantic_fingerprint": "sha256:7884f2fa404311017572e06907341b25e14404c6d87c2981fd5cfac523cef7f1", "generator_version": "3.0"}
{"id": "v3_test_id_00001282", "prompt": "Solve for x: x + 646 = 11(x - 208) + 77", "solution_steps": ["Expand: x + 646 = 11x - 2288 + 77", "Combine constants: x + 646 = 11x - 2211", "Subtract 11x from both sides: -10x + 646 = -2211", "Subtract 646 from both sides: -10x = -2857", "Divide both sides by -10: x = 2857/10"], "final_answer": "2857/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 646 = 11(x - 208) + 77", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 646, \"b\": 11, \"c\": 208, \"d\": 77}", "seed": "3553661704045408467", "semantic_fingerprint": "sha256:792fc91addee8b0197a41935ddc09ff0a82c3662d5d35639a03f316e210e412f", "generator_version": "3.0"}
{"id": "v3_test_id_00001283", "prompt": "Evaluate: -604 / 7", "solution_steps": ["Divide: -604 / 7 = -604/7"], "final_answer": "-604/7", "answer_type": "rational", "kind": "expression", "math_text": "-604 / 7", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -604, \"b\": 7}", "seed": "670075827972936868", "semantic_fingerprint": "sha256:aaba215ff150367f341793afc1e8d5fbbad135ac30152f75341391ee88ff1186", "generator_version": "3.0"}
{"id": "v3_test_id_00001284", "prompt": "Calculate: 41 - 23", "solution_steps": ["Subtract: 41 - 23 = 18"], "final_answer": "18", "answer_type": "integer", "kind": "expression", "math_text": "41 - 23", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": 23}", "seed": "1148139118449666690", "semantic_fingerprint": "sha256:c4585ef72571b1cc8eaf9423efed24ca541c037e2e6b0a3c364a865af5f0ae95", "generator_version": "3.0"}
{"id": "v3_test_id_00001285", "prompt": "Compute: 6 - (-11)", "solution_steps": ["Subtract: 6 - (-11) = 17"], "final_answer": "17", "answer_type": "integer", "kind": "expression", "math_text": "6 - (-11)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -11}", "seed": "7468277008612586103", "semantic_fingerprint": "sha256:a041217a8840b518664a23c7389365d896437972c334bdb704098f8d3a47f9dd", "generator_version": "3.0"}
{"id": "v3_test_id_00001286", "prompt": "What is -118 * (-785) / 3?", "solution_steps": ["Multiply: -118 * (-785) = 92630", "Divide: 92630 / 3 = 92630/3"], "final_answer": "92630/3", "answer_type": "rational", "kind": "expression", "math_text": "-118 * (-785) / 3", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -118, \"b\": -785, \"c\": 3}", "seed": "16875018277975312798", "semantic_fingerprint": "sha256:13a2187a70424a8cbb0f9d7f9730b9bb8862de6d8dff0d653902af4c09d952a3", "generator_version": "3.0"}
{"id": "v3_test_id_00001287", "prompt": "Evaluate: -6 * 976 / (-9 / (-9))", "solution_steps": ["Multiply: -6 * 976 = -5856", "Divide: -9 / (-9) = 1", "Divide: -5856 / 1 = -5856"], "final_answer": "-5856", "answer_type": "integer", "kind": "expression", "math_text": "-6 * 976 / (-9 / (-9))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 976, \"c\": -9, \"d\": -9}", "seed": "594082164588335496", "semantic_fingerprint": "sha256:794703feac5c148a86ba6b528b894db4a6e9dcdb31a6bbf0c107d897a4d7623e", "generator_version": "3.0"}
{"id": "v3_test_id_00001288", "prompt": "Compute: 1 / (736 - (49 - (-155)))", "solution_steps": ["Subtract: 49 - (-155) = 204", "Subtract: 736 - 204 = 532", "Divide: 1 / 532 = 1/532"], "final_answer": "1/532", "answer_type": "rational", "kind": "expression", "math_text": "1 / (736 - (49 - (-155)))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 736, \"c\": 49, \"d\": -155}", "seed": "16112546087808148141", "semantic_fingerprint": "sha256:8f2ff90e4b980d1580ec32ad8d3644bb4fbe9d78673be9187f999f76509eaff3", "generator_version": "3.0"}
{"id": "v3_test_id_00001289", "prompt": "Calculate: (46 + 33) / 629", "solution_steps": ["Add: 46 + 33 = 79", "Divide: 79 / 629 = 79/629"], "final_answer": "79/629", "answer_type": "rational", "kind": "expression", "math_text": "(46 + 33) / 629", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": 33, \"c\": 629}", "seed": "2740078836816866047", "semantic_fingerprint": "sha256:4ea59886fa65a661c5a947f9a51a5668a3833aeee3844aa7a4ad507d8c7e0e5c", "generator_version": "3.0"}
{"id": "v3_test_id_00001290", "prompt": "Solve for x: -12(x - 5) = -11(x + 7) + 135", "solution_steps": ["Expand: -12x + 60 = -11(x + 7) + 135", "Expand: -12x + 60 = -11x - 77 + 135", "Combine constants: -12x + 60 = -11x + 58", "Add 11x to both sides: -x + 60 = 58", "Subtract 60 from both sides: -x = -2", "Divide both sides by -1: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 5) = -11(x + 7) + 135", "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\": -11, \"d\": 7, \"f\": 135, \"x\": 2}", "seed": "16151806370992947492", "semantic_fingerprint": "sha256:b71d04caa38ab37962c1d99fa38360a6a8730354968a0a80194d71f42e3d8be0", "generator_version": "3.0"}
{"id": "v3_test_id_00001291", "prompt": "What value of x satisfies 3x + 2 = x?", "solution_steps": ["Subtract x from both sides: 2x + 2 = 0", "Subtract 2 from both sides: 2x = -2", "Divide both sides by 2: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x + 2 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2}", "seed": "15099774334017003121", "semantic_fingerprint": "sha256:867cf02376b0d6d6ab8af17203f44bedcb1f04459fadfe8100d5bb882f3befec", "generator_version": "3.0"}
{"id": "v3_test_id_00001292", "prompt": "Evaluate: (-99 + (-6) / 5) / (10 - 65 / 10)", "solution_steps": ["Divide: -6 / 5 = -6/5", "Add: -99 + (-6/5) = -501/5", "Divide: 65 / 10 = 13/2", "Subtract: 10 - 13/2 = 7/2", "Divide: (-501/5) / (7/2) = -1002/35"], "final_answer": "-1002/35", "answer_type": "rational", "kind": "expression", "math_text": "(-99 + (-6) / 5) / (10 - 65 / 10)", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (/ n n)) (- n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": -6, \"c\": 5, \"d\": 10, \"e\": 65, \"f\": 10}", "seed": "9356991174505112959", "semantic_fingerprint": "sha256:d56ee2ee03a8c1e9c905fe971cb6e4771088ff429d01c69aee13b7257af8234c", "generator_version": "3.0"}
{"id": "v3_test_id_00001293", "prompt": "What value of x satisfies -2(x - 36) = x?", "solution_steps": ["Expand: -2x + 72 = x", "Subtract x from both sides: -3x + 72 = 0", "Subtract 72 from both sides: -3x = -72", "Divide both sides by -3: x = 24"], "final_answer": "24", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 36) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 36}", "seed": "9680729361197104864", "semantic_fingerprint": "sha256:733750e7f84a8dc43cb610f8aeba10236f89890d8f9b75b9f80f58b6e2800852", "generator_version": "3.0"}
{"id": "v3_test_id_00001294", "prompt": "Solve the equation 7(x + 3) - 64 = -6(x + 420) for x.", "solution_steps": ["Expand: 7x + 21 - 64 = -6(x + 420)", "Expand: 7x + 21 - 64 = -6x - 2520", "Combine constants: 7x - 43 = -6x - 2520", "Add 6x to both sides: 13x - 43 = -2520", "Add 43 to both sides: 13x = -2477", "Divide both sides by 13: x = -2477/13"], "final_answer": "-2477/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 3) - 64 = -6(x + 420)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 3, \"c\": 64, \"d\": -6, \"e\": 420}", "seed": "13015089336292662646", "semantic_fingerprint": "sha256:54aa96447acb1ec458369e25e3478a6c0a0091daebf1adec0017b8d5860afb63", "generator_version": "3.0"}
{"id": "v3_test_id_00001295", "prompt": "Solve the equation x - 6 = -5x + 91 for x.", "solution_steps": ["Add 5x to both sides: 6x - 6 = 91", "Add 6 to both sides: 6x = 97", "Divide both sides by 6: x = 97/6"], "final_answer": "97/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 6 = -5x + 91", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -5, \"c\": 91}", "seed": "6377920305964201169", "semantic_fingerprint": "sha256:1f5000afa28e8c5eed1d26bf855f312793e1e2fecfd7e10eb01ceafefbc08b3c", "generator_version": "3.0"}
{"id": "v3_test_id_00001296", "prompt": "Compute: 94 / 5 * (-975)", "solution_steps": ["Divide: 94 / 5 = 94/5", "Multiply: (94/5) * (-975) = -18330"], "final_answer": "-18330", "answer_type": "integer", "kind": "expression", "math_text": "94 / 5 * (-975)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": 5, \"c\": -975}", "seed": "1108196186783785266", "semantic_fingerprint": "sha256:bad5d3d3db6def2616703717baee4efd91816a3fffbea5be90985fb9f2566b5f", "generator_version": "3.0"}
{"id": "v3_test_id_00001297", "prompt": "Find x: 10(x - 47) - 58 = -6", "solution_steps": ["Expand: 10x - 470 - 58 = -6", "Combine constants: 10x - 528 = -6", "Add 528 to both sides: 10x = 522", "Divide both sides by 10: x = 261/5"], "final_answer": "261/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 47) - 58 = -6", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 47, \"c\": 58, \"d\": -6}", "seed": "121078361077038349", "semantic_fingerprint": "sha256:938168fe6485bb0d44cb1155244a60573e36186d886e097bea7f8e1d693bb811", "generator_version": "3.0"}
{"id": "v3_test_id_00001298", "prompt": "Calculate: (-83 - (-36)) / (425 + 21)", "solution_steps": ["Subtract: -83 - (-36) = -47", "Add: 425 + 21 = 446", "Divide: -47 / 446 = -47/446"], "final_answer": "-47/446", "answer_type": "rational", "kind": "expression", "math_text": "(-83 - (-36)) / (425 + 21)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": -36, \"c\": 425, \"d\": 21}", "seed": "12204220010835991685", "semantic_fingerprint": "sha256:845f424eb4522c4f48e9d408455b95cb331ad65cdf29942c7515665770e7a212", "generator_version": "3.0"}
{"id": "v3_test_id_00001299", "prompt": "Compute: 749 / 53", "solution_steps": ["Divide: 749 / 53 = 749/53"], "final_answer": "749/53", "answer_type": "rational", "kind": "expression", "math_text": "749 / 53", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 749, \"b\": 53}", "seed": "16913565646396614810", "semantic_fingerprint": "sha256:0fd910d2e346e5d348a3828aec24a5bf15fd08d0ffce06af2396b67ccabfbd2a", "generator_version": "3.0"}
{"id": "v3_test_id_00001300", "prompt": "Calculate: (5 + 3 * 20) / (-18) / 2", "solution_steps": ["Multiply: 3 * 20 = 60", "Add: 5 + 60 = 65", "Divide: 65 / (-18) = -65/18", "Divide: (-65/18) / 2 = -65/36"], "final_answer": "-65/36", "answer_type": "rational", "kind": "expression", "math_text": "(5 + 3 * 20) / (-18) / 2", "variable": null, "family": "expression_4op", "shape": "(/ (/ (+ n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 20, \"d\": -18, \"e\": 2}", "seed": "10350475031006134334", "semantic_fingerprint": "sha256:18e9ae02abf9f6f220451c3f6eadbc6a66069445197dfb85c7dbea0748f6f268", "generator_version": "3.0"}
{"id": "v3_test_id_00001301", "prompt": "Compute: 0 / (-797)", "solution_steps": ["Divide: 0 / (-797) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-797)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -797}", "seed": "15071558332915576466", "semantic_fingerprint": "sha256:8245046c09726d388a6398170602dd684c886f0b734b1031e2036b54ff9d0402", "generator_version": "3.0"}
{"id": "v3_test_id_00001302", "prompt": "Calculate: -34 / (-3 / (-7)) * 87", "solution_steps": ["Divide: -3 / (-7) = 3/7", "Divide: -34 / (3/7) = -238/3", "Multiply: (-238/3) * 87 = -6902"], "final_answer": "-6902", "answer_type": "integer", "kind": "expression", "math_text": "-34 / (-3 / (-7)) * 87", "variable": null, "family": "expression_3op", "shape": "(* (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -34, \"b\": -3, \"c\": -7, \"d\": 87}", "seed": "9926719893875249387", "semantic_fingerprint": "sha256:f5a0a4530db554f96429e1e496018f81632ee676d2a087a269625580b8a004be", "generator_version": "3.0"}
{"id": "v3_test_id_00001303", "prompt": "What value of x satisfies -4(x + 8) - 148 = 11x?", "solution_steps": ["Expand: -4x - 32 - 148 = 11x", "Combine constants: -4x - 180 = 11x", "Subtract 11x from both sides: -15x - 180 = 0", "Add 180 to both sides: -15x = 180", "Divide both sides by -15: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 8) - 148 = 11x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 8, \"c\": 11, \"e\": -148, \"x\": -12}", "seed": "3625541914906369332", "semantic_fingerprint": "sha256:cd0776cc8f549b71913e3b6a43088533d7e91f63903b78546258577fae374312", "generator_version": "3.0"}
{"id": "v3_test_id_00001304", "prompt": "Solve the equation 6x = 11x - 10 for x.", "solution_steps": ["Subtract 11x from both sides: -5x = -10", "Divide both sides by -5: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = 11x - 10", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 11, \"d\": -10, \"x\": 2}", "seed": "6564951268159797164", "semantic_fingerprint": "sha256:7d0a0bf1491a3caf7d48772690412bafefa6bc1dce7fa2247f6a32d046e53ce7", "generator_version": "3.0"}
{"id": "v3_test_id_00001305", "prompt": "Find x: 7(x + 6) - 2 = 12(x + 4)", "solution_steps": ["Expand: 7x + 42 - 2 = 12(x + 4)", "Expand: 7x + 42 - 2 = 12x + 48", "Combine constants: 7x + 40 = 12x + 48", "Subtract 12x from both sides: -5x + 40 = 48", "Subtract 40 from both sides: -5x = 8", "Divide both sides by -5: x = -8/5"], "final_answer": "-8/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 6) - 2 = 12(x + 4)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": 2, \"d\": 12, \"e\": 4}", "seed": "6602482247593194129", "semantic_fingerprint": "sha256:fe0545c5f130432b649978cc1299597a2d00909d6e40bef038fa921eb8580f7d", "generator_version": "3.0"}
{"id": "v3_test_id_00001306", "prompt": "Compute: -86 - 278 / ((-97 - (-315)) * 32)", "solution_steps": ["Subtract: -97 - (-315) = 218", "Multiply: 218 * 32 = 6976", "Divide: 278 / 6976 = 139/3488", "Subtract: -86 - 139/3488 = -300107/3488"], "final_answer": "-300107/3488", "answer_type": "rational", "kind": "expression", "math_text": "-86 - 278 / ((-97 - (-315)) * 32)", "variable": null, "family": "expression_4op", "shape": "(- n (/ n (* (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": 278, \"c\": -97, \"d\": -315, \"e\": 32}", "seed": "599748019365643774", "semantic_fingerprint": "sha256:bc6354dbc6d3653ac5f86f73f601c42475077140a44cba84d1eb8ae7cbf45337", "generator_version": "3.0"}
{"id": "v3_test_id_00001307", "prompt": "Evaluate: -6 + (-9) / 3 - (-7 + (-8))", "solution_steps": ["Divide: -9 / 3 = -3", "Add: -6 + (-3) = -9", "Add: -7 + (-8) = -15", "Subtract: -9 - (-15) = 6"], "final_answer": "6", "answer_type": "integer", "kind": "expression", "math_text": "-6 + (-9) / 3 - (-7 + (-8))", "variable": null, "family": "expression_4op", "shape": "(- (+ n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -9, \"c\": 3, \"d\": -7, \"e\": -8}", "seed": "17062535947722208743", "semantic_fingerprint": "sha256:a9d05d77079deb9eb71791cd84ad5d6637f917679032b2f124a0a4ff4ac5bbc4", "generator_version": "3.0"}
{"id": "v3_test_id_00001308", "prompt": "Find x: x + 16 = 8(x + 24) - 85", "solution_steps": ["Expand: x + 16 = 8x + 192 - 85", "Combine constants: x + 16 = 8x + 107", "Subtract 8x from both sides: -7x + 16 = 107", "Subtract 16 from both sides: -7x = 91", "Divide both sides by -7: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 16 = 8(x + 24) - 85", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": 8, \"c\": 24, \"e\": -85, \"x\": -13}", "seed": "14952693938997603487", "semantic_fingerprint": "sha256:afee299e03a0be593b64afe9ff85a77e850552dda2f46e021bb50d3d8612b221", "generator_version": "3.0"}
{"id": "v3_test_id_00001309", "prompt": "Solve for x: x + 7 = 15", "solution_steps": ["Subtract 7 from both sides: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 7 = 15", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"c\": 15, \"x\": 8}", "seed": "11280779961349525571", "semantic_fingerprint": "sha256:302846e0e5570d575786b57d093a7481f490a8128176e6cfe2f2464082b74b8d", "generator_version": "3.0"}
{"id": "v3_test_id_00001310", "prompt": "Solve the equation 2x = 5(x - 37) for x.", "solution_steps": ["Expand: 2x = 5x - 185", "Subtract 5x from both sides: -3x = -185", "Divide both sides by -3: x = 185/3"], "final_answer": "185/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x = 5(x - 37)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"c\": 37}", "seed": "11614292937433534609", "semantic_fingerprint": "sha256:c4f4f41ed5fe18a440f91000357c0b5e70db39f9f8be5dd3703b65522e6cd76e", "generator_version": "3.0"}
{"id": "v3_test_id_00001311", "prompt": "What is 27 + (314 - 0)?", "solution_steps": ["Subtract: 314 - 0 = 314", "Add: 27 + 314 = 341"], "final_answer": "341", "answer_type": "integer", "kind": "expression", "math_text": "27 + (314 - 0)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": 314, \"c\": 0}", "seed": "1699203476946108125", "semantic_fingerprint": "sha256:f91f53af7b430cebdea700e62fddebecb1c19a0ee3ac1dd2383666336d17ded5", "generator_version": "3.0"}
{"id": "v3_test_id_00001312", "prompt": "Compute: -9 - 69 * (-72)", "solution_steps": ["Multiply: 69 * (-72) = -4968", "Subtract: -9 - (-4968) = 4959"], "final_answer": "4959", "answer_type": "integer", "kind": "expression", "math_text": "-9 - 69 * (-72)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 69, \"c\": -72}", "seed": "18091631250234273154", "semantic_fingerprint": "sha256:129ee095f1eb92054e9e50e34aa9feb4f8f4499a5e67923a4f4d14fc7411c2b4", "generator_version": "3.0"}
{"id": "v3_test_id_00001313", "prompt": "Evaluate: 906 - (-2) / (-214) + (-75)", "solution_steps": ["Divide: -2 / (-214) = 1/107", "Subtract: 906 - 1/107 = 96941/107", "Add: 96941/107 + (-75) = 88916/107"], "final_answer": "88916/107", "answer_type": "rational", "kind": "expression", "math_text": "906 - (-2) / (-214) + (-75)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 906, \"b\": -2, \"c\": -214, \"d\": -75}", "seed": "9726435151818054779", "semantic_fingerprint": "sha256:5ae7898e51c629047df572814f7cbabb3516d4db0cf3bee353c0476b6582895c", "generator_version": "3.0"}
{"id": "v3_test_id_00001314", "prompt": "What is -33 / 75 - 7?", "solution_steps": ["Divide: -33 / 75 = -11/25", "Subtract: -11/25 - 7 = -186/25"], "final_answer": "-186/25", "answer_type": "rational", "kind": "expression", "math_text": "-33 / 75 - 7", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": 75, \"c\": 7}", "seed": "12609173276317281961", "semantic_fingerprint": "sha256:dd224ed57db3b3130ff458c411c48c78075ffa8b490442031e0eb993ed55511b", "generator_version": "3.0"}
{"id": "v3_test_id_00001315", "prompt": "Compute: 3 - 1 + (-7) * (-94)", "solution_steps": ["Subtract: 3 - 1 = 2", "Multiply: -7 * (-94) = 658", "Add: 2 + 658 = 660"], "final_answer": "660", "answer_type": "integer", "kind": "expression", "math_text": "3 - 1 + (-7) * (-94)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 1, \"c\": -7, \"d\": -94}", "seed": "7599542382486760133", "semantic_fingerprint": "sha256:0f6d1c5de34318e9d2b1e17c9ab8735a5c559c18eaf83fc18ba1975e2c472559", "generator_version": "3.0"}
{"id": "v3_test_id_00001316", "prompt": "What value of x satisfies -6(x + 5) = 4(x + 5)?", "solution_steps": ["Expand: -6x - 30 = 4(x + 5)", "Expand: -6x - 30 = 4x + 20", "Subtract 4x from both sides: -10x - 30 = 20", "Add 30 to both sides: -10x = 50", "Divide both sides by -10: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 5) = 4(x + 5)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 5, \"c\": 4, \"d\": 5}", "seed": "13126780207976976613", "semantic_fingerprint": "sha256:96eb58a218c92eefe7bbeb45ca39957d0fdc34005ed020bf0175a95cf6d8e32d", "generator_version": "3.0"}
{"id": "v3_test_id_00001317", "prompt": "Solve the equation x = -9x + 40 for x.", "solution_steps": ["Add 9x to both sides: 10x = 40", "Divide both sides by 10: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -9x + 40", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"c\": 40, \"x\": 4}", "seed": "17284927303301027454", "semantic_fingerprint": "sha256:9b44fd5e01c55d5469918258f4e5ef0e8a1709d15f2492582fab9e901853940e", "generator_version": "3.0"}
{"id": "v3_test_id_00001318", "prompt": "What is 0 + 33?", "solution_steps": ["Add: 0 + 33 = 33"], "final_answer": "33", "answer_type": "integer", "kind": "expression", "math_text": "0 + 33", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 33}", "seed": "7269369535707671583", "semantic_fingerprint": "sha256:f7525b3275ca1e5731841b6fa548dae13aa667f9af32b95bc128a46651548db6", "generator_version": "3.0"}
{"id": "v3_test_id_00001319", "prompt": "Solve the equation 10x = 5(x - 1) + 105 for x.", "solution_steps": ["Expand: 10x = 5x - 5 + 105", "Combine constants: 10x = 5x + 100", "Subtract 5x from both sides: 5x = 100", "Divide both sides by 5: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = 5(x - 1) + 105", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 5, \"c\": 1, \"e\": 105, \"x\": 20}", "seed": "3304471352627397068", "semantic_fingerprint": "sha256:73c6f09f22497c467fce8f2ac7fdefae6392837ec82ab1ca0324770cd6c337d8", "generator_version": "3.0"}
{"id": "v3_test_id_00001320", "prompt": "Calculate: -7 * (1 - 24 - 54 * (-389))", "solution_steps": ["Subtract: 1 - 24 = -23", "Multiply: 54 * (-389) = -21006", "Subtract: -23 - (-21006) = 20983", "Multiply: -7 * 20983 = -146881"], "final_answer": "-146881", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (1 - 24 - 54 * (-389))", "variable": null, "family": "expression_4op", "shape": "(* n (- (- n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 1, \"c\": 24, \"d\": 54, \"e\": -389}", "seed": "3791340718832278032", "semantic_fingerprint": "sha256:18ffe4a6f4ef47472f122dd79ab09ee71013876f503e733c1d9359b9f6ca3e08", "generator_version": "3.0"}
{"id": "v3_test_id_00001321", "prompt": "What value of x satisfies x - 209 = -10x?", "solution_steps": ["Add 10x to both sides: 11x - 209 = 0", "Add 209 to both sides: 11x = 209", "Divide both sides by 11: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 209 = -10x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -10, \"c\": -209, \"x\": 19}", "seed": "103159624164671377", "semantic_fingerprint": "sha256:392e6f096eef2e35285be136e79879bfdef227d211059e85e2804ddf944b173f", "generator_version": "3.0"}
{"id": "v3_test_id_00001322", "prompt": "Evaluate: 38 + (-94)", "solution_steps": ["Add: 38 + (-94) = -56"], "final_answer": "-56", "answer_type": "integer", "kind": "expression", "math_text": "38 + (-94)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": -94}", "seed": "9740503504942976087", "semantic_fingerprint": "sha256:fcd1eecc66293fd98535ff58713a984b7f478a456268be14648af0f103d772a8", "generator_version": "3.0"}
{"id": "v3_test_id_00001323", "prompt": "What is 2 + 460?", "solution_steps": ["Add: 2 + 460 = 462"], "final_answer": "462", "answer_type": "integer", "kind": "expression", "math_text": "2 + 460", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 460}", "seed": "12157493678027288991", "semantic_fingerprint": "sha256:ed5e6fe4a9cb7278148f129f534e72ef145a733917bd46bf75c8b8ea58b0d70c", "generator_version": "3.0"}
{"id": "v3_test_id_00001324", "prompt": "Evaluate: 0 / (-2)", "solution_steps": ["Divide: 0 / (-2) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-2)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -2}", "seed": "17478843610516649683", "semantic_fingerprint": "sha256:a27203e985e4bec854c2502e76a8624bde2fece84e6283446adf600a617b2deb", "generator_version": "3.0"}
{"id": "v3_test_id_00001325", "prompt": "Calculate: 172 - (-490)", "solution_steps": ["Subtract: 172 - (-490) = 662"], "final_answer": "662", "answer_type": "integer", "kind": "expression", "math_text": "172 - (-490)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 172, \"b\": -490}", "seed": "8511456601321443295", "semantic_fingerprint": "sha256:9c61d63093386c31a18cae1e3de5e8cc4266c6cf62f8975095b90344469d3a48", "generator_version": "3.0"}
{"id": "v3_test_id_00001326", "prompt": "Calculate: -610 + (-88) + (-556)", "solution_steps": ["Add: -610 + (-88) = -698", "Add: -698 + (-556) = -1254"], "final_answer": "-1254", "answer_type": "integer", "kind": "expression", "math_text": "-610 + (-88) + (-556)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -610, \"b\": -88, \"c\": -556}", "seed": "448698693513471636", "semantic_fingerprint": "sha256:7362b34e235ccb726787a4e6df60b032243c78c582987501cbcf3aaac0b76948", "generator_version": "3.0"}
{"id": "v3_test_id_00001327", "prompt": "Compute: -551 - 89", "solution_steps": ["Subtract: -551 - 89 = -640"], "final_answer": "-640", "answer_type": "integer", "kind": "expression", "math_text": "-551 - 89", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -551, \"b\": 89}", "seed": "9740218625342806829", "semantic_fingerprint": "sha256:71e330a40f40a9090edba24ae9d4792dee04c387ba065b805fb7297cb2877eac", "generator_version": "3.0"}
{"id": "v3_test_id_00001328", "prompt": "Evaluate: -290 / (-18 - 79 / 9)", "solution_steps": ["Divide: 79 / 9 = 79/9", "Subtract: -18 - 79/9 = -241/9", "Divide: -290 / (-241/9) = 2610/241"], "final_answer": "2610/241", "answer_type": "rational", "kind": "expression", "math_text": "-290 / (-18 - 79 / 9)", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -290, \"b\": -18, \"c\": 79, \"d\": 9}", "seed": "17662366143742127224", "semantic_fingerprint": "sha256:dec926161fb31b56ed2b79980dc62112cc7eed24272fea01a1fea91d1ea7819e", "generator_version": "3.0"}
{"id": "v3_test_id_00001329", "prompt": "What is (365 - 63) / (-53) / (-57)?", "solution_steps": ["Subtract: 365 - 63 = 302", "Divide: 302 / (-53) = -302/53", "Divide: (-302/53) / (-57) = 302/3021"], "final_answer": "302/3021", "answer_type": "rational", "kind": "expression", "math_text": "(365 - 63) / (-53) / (-57)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 365, \"b\": 63, \"c\": -53, \"d\": -57}", "seed": "5477996693715042689", "semantic_fingerprint": "sha256:df26b8251fba6f4db2bc6ee934dd28492b2bca6059e01841a8a34364b5d878af", "generator_version": "3.0"}
{"id": "v3_test_id_00001330", "prompt": "Compute: -3 - (3 - (-44))", "solution_steps": ["Subtract: 3 - (-44) = 47", "Subtract: -3 - 47 = -50"], "final_answer": "-50", "answer_type": "integer", "kind": "expression", "math_text": "-3 - (3 - (-44))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 3, \"c\": -44}", "seed": "448888296959323581", "semantic_fingerprint": "sha256:2e7c7d3e1525d56cc4e88aa7b8a32591d11dfbb9b1f184776e0395c80eeda448", "generator_version": "3.0"}
{"id": "v3_test_id_00001331", "prompt": "What is (-42 - 10 / (-3)) * 508?", "solution_steps": ["Divide: 10 / (-3) = -10/3", "Subtract: -42 - (-10/3) = -116/3", "Multiply: (-116/3) * 508 = -58928/3"], "final_answer": "-58928/3", "answer_type": "rational", "kind": "expression", "math_text": "(-42 - 10 / (-3)) * 508", "variable": null, "family": "expression_3op", "shape": "(* (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": 10, \"c\": -3, \"d\": 508}", "seed": "15852074015700667013", "semantic_fingerprint": "sha256:fb15debc642c82998d1dcbadd7caa4bd8d4aca0367b65e0b5ed9155cc2e756c9", "generator_version": "3.0"}
{"id": "v3_test_id_00001332", "prompt": "Solve for x: 12(x - 56) - 29 = x - 778", "solution_steps": ["Expand: 12x - 672 - 29 = x - 778", "Combine constants: 12x - 701 = x - 778", "Subtract x from both sides: 11x - 701 = -778", "Add 701 to both sides: 11x = -77", "Divide both sides by 11: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 56) - 29 = x - 778", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 56, \"c\": 29, \"e\": -778, \"x\": -7}", "seed": "6725019084148248669", "semantic_fingerprint": "sha256:5d190fc30537cce06aa37cdb622e1d85b2d896133d0ab42c2d08b2d6b5fb5f1f", "generator_version": "3.0"}
{"id": "v3_test_id_00001333", "prompt": "Compute: 61 + (-36 + (-621) / 226)", "solution_steps": ["Divide: -621 / 226 = -621/226", "Add: -36 + (-621/226) = -8757/226", "Add: 61 + (-8757/226) = 5029/226"], "final_answer": "5029/226", "answer_type": "rational", "kind": "expression", "math_text": "61 + (-36 + (-621) / 226)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": -36, \"c\": -621, \"d\": 226}", "seed": "18381010562363206077", "semantic_fingerprint": "sha256:57b75db8aa646bcbfb39736201d553d7897d68419b4939e657806bd04f4ba996", "generator_version": "3.0"}
{"id": "v3_test_id_00001334", "prompt": "Evaluate: -214 + (-4 / 28 + 0)", "solution_steps": ["Divide: -4 / 28 = -1/7", "Add: -1/7 + 0 = -1/7", "Add: -214 + (-1/7) = -1499/7"], "final_answer": "-1499/7", "answer_type": "rational", "kind": "expression", "math_text": "-214 + (-4 / 28 + 0)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -214, \"b\": -4, \"c\": 28, \"d\": 0}", "seed": "13832685885879866356", "semantic_fingerprint": "sha256:cc1e6955c3e3d134a7e33caf329795af5f3b9c59c42b6ac2bc2d307113b2f0b7", "generator_version": "3.0"}
{"id": "v3_test_id_00001335", "prompt": "Compute: -39 / (-864 * (-14 / 1))", "solution_steps": ["Divide: -14 / 1 = -14", "Multiply: -864 * (-14) = 12096", "Divide: -39 / 12096 = -13/4032"], "final_answer": "-13/4032", "answer_type": "rational", "kind": "expression", "math_text": "-39 / (-864 * (-14 / 1))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": -864, \"c\": -14, \"d\": 1}", "seed": "15921516641665074762", "semantic_fingerprint": "sha256:bb5e800066d8919cc59971121d3afd51757753f0a1ab294b8205cc06b943b1e1", "generator_version": "3.0"}
{"id": "v3_test_id_00001336", "prompt": "Evaluate: 62 * (97 / (-536 - (-88)) * 2)", "solution_steps": ["Subtract: -536 - (-88) = -448", "Divide: 97 / (-448) = -97/448", "Multiply: (-97/448) * 2 = -97/224", "Multiply: 62 * (-97/224) = -3007/112"], "final_answer": "-3007/112", "answer_type": "rational", "kind": "expression", "math_text": "62 * (97 / (-536 - (-88)) * 2)", "variable": null, "family": "expression_4op", "shape": "(* n (* (/ n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": 97, \"c\": -536, \"d\": -88, \"e\": 2}", "seed": "8363750855419880175", "semantic_fingerprint": "sha256:38327db02131f85891ff2c1a20ae2a777aa21bc9e1fd71902f7219e138cb5ed7", "generator_version": "3.0"}
{"id": "v3_test_id_00001337", "prompt": "Evaluate: -70 - (-4)", "solution_steps": ["Subtract: -70 - (-4) = -66"], "final_answer": "-66", "answer_type": "integer", "kind": "expression", "math_text": "-70 - (-4)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": -4}", "seed": "371463118898745510", "semantic_fingerprint": "sha256:4874e4c35aff583627010b3eff7d8eb83a8e873a755386c657c9572c2acccb32", "generator_version": "3.0"}
{"id": "v3_test_id_00001338", "prompt": "What is 784 * (83 + (-84)) / (0 - 3 / 97)?", "solution_steps": ["Add: 83 + (-84) = -1", "Multiply: 784 * (-1) = -784", "Divide: 3 / 97 = 3/97", "Subtract: 0 - 3/97 = -3/97", "Divide: -784 / (-3/97) = 76048/3"], "final_answer": "76048/3", "answer_type": "rational", "kind": "expression", "math_text": "784 * (83 + (-84)) / (0 - 3 / 97)", "variable": null, "family": "expression_5op", "shape": "(/ (* n (+ n n)) (- n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 784, \"b\": 83, \"c\": -84, \"d\": 0, \"e\": 3, \"f\": 97}", "seed": "8986101751221450157", "semantic_fingerprint": "sha256:a1f481f3d277aae30ac01b703752a3b5599261c99fd2a13dc0a98fca13ca4093", "generator_version": "3.0"}
{"id": "v3_test_id_00001339", "prompt": "Evaluate: -60 / 4", "solution_steps": ["Divide: -60 / 4 = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "expression", "math_text": "-60 / 4", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": 4}", "seed": "2537812041390539041", "semantic_fingerprint": "sha256:3274827cecad3dc3f4a346335600060728e4797b004a17450772d7b38a3e7241", "generator_version": "3.0"}
{"id": "v3_test_id_00001340", "prompt": "What value of x satisfies x = 12(x - 4) - 172?", "solution_steps": ["Expand: x = 12x - 48 - 172", "Combine constants: x = 12x - 220", "Subtract 12x from both sides: -11x = -220", "Divide both sides by -11: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 12(x - 4) - 172", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"d\": -172, \"x\": 20}", "seed": "13623834058743757558", "semantic_fingerprint": "sha256:2f6eabc01bc58d318e8c053b4613fe7ab51fb09f7405f9ca7eb00e2dcc670907", "generator_version": "3.0"}
{"id": "v3_test_id_00001341", "prompt": "Calculate: (78 - 59) * (-1)", "solution_steps": ["Subtract: 78 - 59 = 19", "Multiply: 19 * (-1) = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "expression", "math_text": "(78 - 59) * (-1)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": 59, \"c\": -1}", "seed": "11519522113717653803", "semantic_fingerprint": "sha256:d6987c96adf343833a4cef53fe570c7d80613d0705ee3ac5254ba54641f6705a", "generator_version": "3.0"}
{"id": "v3_test_id_00001342", "prompt": "Evaluate: 24 / (-6)", "solution_steps": ["Divide: 24 / (-6) = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "expression", "math_text": "24 / (-6)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": -6}", "seed": "11713330462530224142", "semantic_fingerprint": "sha256:07e4e40ecae4558eb5b86088e9b4ce38d75be0852186931c90f5775e9aea3c6e", "generator_version": "3.0"}
{"id": "v3_test_id_00001343", "prompt": "Find x: x + 2 = 19", "solution_steps": ["Subtract 2 from both sides: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 2 = 19", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"c\": 19, \"x\": 17}", "seed": "10063297506859537974", "semantic_fingerprint": "sha256:c51907f7978ed27d1cf1899af712056dd3e2386bdc6b9bb3d3aa2e33c935e44c", "generator_version": "3.0"}
{"id": "v3_test_id_00001344", "prompt": "Solve for x: -9(x + 1) = x", "solution_steps": ["Expand: -9x - 9 = x", "Subtract x from both sides: -10x - 9 = 0", "Add 9 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": "-9(x + 1) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 1}", "seed": "15101556384384324924", "semantic_fingerprint": "sha256:02dc9609750ad0040cf0c0961a6b0f543ba3becf22a2f771366c2d3f4bdbbd7a", "generator_version": "3.0"}
{"id": "v3_test_id_00001345", "prompt": "Evaluate: 41 * (-240) - 228 * (-7) * 433", "solution_steps": ["Multiply: 41 * (-240) = -9840", "Multiply: 228 * (-7) = -1596", "Multiply: -1596 * 433 = -691068", "Subtract: -9840 - (-691068) = 681228"], "final_answer": "681228", "answer_type": "integer", "kind": "expression", "math_text": "41 * (-240) - 228 * (-7) * 433", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": -240, \"c\": 228, \"d\": -7, \"e\": 433}", "seed": "15636000800543786028", "semantic_fingerprint": "sha256:cbef0ab7e19223a1bddc99abd7ae7423550d5e480cef5e4c0fa0bf2e1cfa9fdc", "generator_version": "3.0"}
{"id": "v3_test_id_00001346", "prompt": "What is 0 + (-1)?", "solution_steps": ["Add: 0 + (-1) = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-1)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -1}", "seed": "12902681232574649289", "semantic_fingerprint": "sha256:93f546abf7173c759ab638ed25250e4b745e6a21a264544622823f4d6f51b45d", "generator_version": "3.0"}
{"id": "v3_test_id_00001347", "prompt": "Calculate: -57 / (-9 - 35) + 40 * (71 * (-3))", "solution_steps": ["Subtract: -9 - 35 = -44", "Divide: -57 / (-44) = 57/44", "Multiply: 71 * (-3) = -213", "Multiply: 40 * (-213) = -8520", "Add: 57/44 + (-8520) = -374823/44"], "final_answer": "-374823/44", "answer_type": "rational", "kind": "expression", "math_text": "-57 / (-9 - 35) + 40 * (71 * (-3))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (- n n)) (* n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": -9, \"c\": 35, \"d\": 40, \"e\": 71, \"f\": -3}", "seed": "15028550271967830188", "semantic_fingerprint": "sha256:dab4d06632e526d19af1d929340b09fd7bec4fb47718cfa3a9e201e8c3e914d5", "generator_version": "3.0"}
{"id": "v3_test_id_00001348", "prompt": "Compute: (3 - 8) * (68 / 67 + 0)", "solution_steps": ["Subtract: 3 - 8 = -5", "Divide: 68 / 67 = 68/67", "Add: 68/67 + 0 = 68/67", "Multiply: -5 * (68/67) = -340/67"], "final_answer": "-340/67", "answer_type": "rational", "kind": "expression", "math_text": "(3 - 8) * (68 / 67 + 0)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": 68, \"d\": 67, \"e\": 0}", "seed": "18374912979761471337", "semantic_fingerprint": "sha256:46e6f9a24819b58c962e560da78ca652f2db899b73fa772203790c75621a1716", "generator_version": "3.0"}
{"id": "v3_test_id_00001349", "prompt": "Compute: -602 * 94", "solution_steps": ["Multiply: -602 * 94 = -56588"], "final_answer": "-56588", "answer_type": "integer", "kind": "expression", "math_text": "-602 * 94", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -602, \"b\": 94}", "seed": "14513056526556141923", "semantic_fingerprint": "sha256:e5e91e57717c0147cd2c9b2eed315d82daadb11dea0c7e0ebc4e2d5446df0550", "generator_version": "3.0"}
{"id": "v3_test_id_00001350", "prompt": "Find x: -3x - 17 = x - 1", "solution_steps": ["Subtract x from both sides: -4x - 17 = -1", "Add 17 to both sides: -4x = 16", "Divide both sides by -4: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x - 17 = x - 1", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 17, \"c\": 1}", "seed": "15561368080048579385", "semantic_fingerprint": "sha256:dea2c7ac90474259db1d87573ff2287fd9c7f18e238b8cec696ce21b60dd77e1", "generator_version": "3.0"}
{"id": "v3_test_id_00001351", "prompt": "Calculate: (521 - 74) / ((-8 + (-189)) / 485)", "solution_steps": ["Subtract: 521 - 74 = 447", "Add: -8 + (-189) = -197", "Divide: -197 / 485 = -197/485", "Divide: 447 / (-197/485) = -216795/197"], "final_answer": "-216795/197", "answer_type": "rational", "kind": "expression", "math_text": "(521 - 74) / ((-8 + (-189)) / 485)", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 521, \"b\": 74, \"c\": -8, \"d\": -189, \"e\": 485}", "seed": "5092085364776839698", "semantic_fingerprint": "sha256:3568d21ae6d8bb9b3e6291d01b14973dbc41829051f14f2d612bec7d1abfe829", "generator_version": "3.0"}
{"id": "v3_test_id_00001352", "prompt": "Compute: 99 - 3", "solution_steps": ["Subtract: 99 - 3 = 96"], "final_answer": "96", "answer_type": "integer", "kind": "expression", "math_text": "99 - 3", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": 3}", "seed": "6510752140429613913", "semantic_fingerprint": "sha256:4bf0d98b1ff41a55c71aa0aa1050b127d78e78c2a57ad21095f7149567a38748", "generator_version": "3.0"}
{"id": "v3_test_id_00001353", "prompt": "Compute: (-1 + (-6)) * (313 / (7 / (-647)))", "solution_steps": ["Add: -1 + (-6) = -7", "Divide: 7 / (-647) = -7/647", "Divide: 313 / (-7/647) = -202511/7", "Multiply: -7 * (-202511/7) = 202511"], "final_answer": "202511", "answer_type": "integer", "kind": "expression", "math_text": "(-1 + (-6)) * (313 / (7 / (-647)))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (/ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -6, \"c\": 313, \"d\": 7, \"e\": -647}", "seed": "4203247921577071127", "semantic_fingerprint": "sha256:88e31b4ad902e800202b0c79e273153be67b5abfb62ae3d23951122f723955c8", "generator_version": "3.0"}
{"id": "v3_test_id_00001354", "prompt": "Solve the equation 11(x - 494) + 4 = 0 for x.", "solution_steps": ["Expand: 11x - 5434 + 4 = 0", "Combine constants: 11x - 5430 = 0", "Add 5430 to both sides: 11x = 5430", "Divide both sides by 11: x = 5430/11"], "final_answer": "5430/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 494) + 4 = 0", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 494, \"c\": 4, \"d\": 0}", "seed": "11377010134334274498", "semantic_fingerprint": "sha256:46911859cb0468489c37b17e2b11012515a06875349cf9fea5dd34618d178829", "generator_version": "3.0"}
{"id": "v3_test_id_00001355", "prompt": "What value of x satisfies x + 135 = 6(x - 342) + 15?", "solution_steps": ["Expand: x + 135 = 6x - 2052 + 15", "Combine constants: x + 135 = 6x - 2037", "Subtract 6x from both sides: -5x + 135 = -2037", "Subtract 135 from both sides: -5x = -2172", "Divide both sides by -5: x = 2172/5"], "final_answer": "2172/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 135 = 6(x - 342) + 15", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 135, \"b\": 6, \"c\": 342, \"d\": 15}", "seed": "9480331306041546075", "semantic_fingerprint": "sha256:958e1dbebd60f659950637d50a3717b4ab1b5185ddeb39e13ce71e04c2387e51", "generator_version": "3.0"}
{"id": "v3_test_id_00001356", "prompt": "Solve for x: -4x + 1 = 12(x + 5) + 6", "solution_steps": ["Expand: -4x + 1 = 12x + 60 + 6", "Combine constants: -4x + 1 = 12x + 66", "Subtract 12x from both sides: -16x + 1 = 66", "Subtract 1 from both sides: -16x = 65", "Divide both sides by -16: x = -65/16"], "final_answer": "-65/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4x + 1 = 12(x + 5) + 6", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 1, \"c\": 12, \"d\": 5, \"e\": 6}", "seed": "15089430692581284383", "semantic_fingerprint": "sha256:26e27da4922bc79741c3042b490e394506155e31549e97e7244f9cb064e6e13c", "generator_version": "3.0"}
{"id": "v3_test_id_00001357", "prompt": "Evaluate: 41 * (14 + (-5)) / 23", "solution_steps": ["Add: 14 + (-5) = 9", "Multiply: 41 * 9 = 369", "Divide: 369 / 23 = 369/23"], "final_answer": "369/23", "answer_type": "rational", "kind": "expression", "math_text": "41 * (14 + (-5)) / 23", "variable": null, "family": "expression_3op", "shape": "(/ (* n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": 14, \"c\": -5, \"d\": 23}", "seed": "3326342006983129712", "semantic_fingerprint": "sha256:b81e9f3170cf48a5b52aad55a81d5cfd7f7e6740afb236f95c6e792520b7b409", "generator_version": "3.0"}
{"id": "v3_test_id_00001358", "prompt": "Evaluate: 133 / 516", "solution_steps": ["Divide: 133 / 516 = 133/516"], "final_answer": "133/516", "answer_type": "rational", "kind": "expression", "math_text": "133 / 516", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 133, \"b\": 516}", "seed": "7127131040195262690", "semantic_fingerprint": "sha256:0131ea2ca74426406980e3363adb46f726da4b8dd6d7bc8a95f5c9f4414fd618", "generator_version": "3.0"}
{"id": "v3_test_id_00001359", "prompt": "What is 8 - (-583) - 994?", "solution_steps": ["Subtract: 8 - (-583) = 591", "Subtract: 591 - 994 = -403"], "final_answer": "-403", "answer_type": "integer", "kind": "expression", "math_text": "8 - (-583) - 994", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -583, \"c\": 994}", "seed": "9450547056490959387", "semantic_fingerprint": "sha256:060aa9498a4b8dedb4f996ad86733c578685cc532d1cda8f3f6c09979579282e", "generator_version": "3.0"}
{"id": "v3_test_id_00001360", "prompt": "What value of x satisfies 10(x + 85) - 94 = 298?", "solution_steps": ["Expand: 10x + 850 - 94 = 298", "Combine constants: 10x + 756 = 298", "Subtract 756 from both sides: 10x = -458", "Divide both sides by 10: x = -229/5"], "final_answer": "-229/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 85) - 94 = 298", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 85, \"c\": 94, \"d\": 298}", "seed": "13430901006304201681", "semantic_fingerprint": "sha256:59372dab0e8abda8b493ca2dec16eb061e2c4b0c13a921b7b38d9b67622cb462", "generator_version": "3.0"}
{"id": "v3_test_id_00001361", "prompt": "What is -97 - 7?", "solution_steps": ["Subtract: -97 - 7 = -104"], "final_answer": "-104", "answer_type": "integer", "kind": "expression", "math_text": "-97 - 7", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": 7}", "seed": "13503380999740822287", "semantic_fingerprint": "sha256:e0350f4dcd4e3350e3368e41afcd91e05ff51de5e9fa225367cf0b8a3553211d", "generator_version": "3.0"}
{"id": "v3_test_id_00001362", "prompt": "Compute: 6 - 64", "solution_steps": ["Subtract: 6 - 64 = -58"], "final_answer": "-58", "answer_type": "integer", "kind": "expression", "math_text": "6 - 64", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 64}", "seed": "6866349468411761784", "semantic_fingerprint": "sha256:b141117bcde5f4b850bb6e38ca384bec726307b5db37ad0d7ad861b3926a04fe", "generator_version": "3.0"}
{"id": "v3_test_id_00001363", "prompt": "Find x: 12(x + 89) = 10(x + 9) + 687", "solution_steps": ["Expand: 12x + 1068 = 10(x + 9) + 687", "Expand: 12x + 1068 = 10x + 90 + 687", "Combine constants: 12x + 1068 = 10x + 777", "Subtract 10x from both sides: 2x + 1068 = 777", "Subtract 1068 from both sides: 2x = -291", "Divide both sides by 2: x = -291/2"], "final_answer": "-291/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 89) = 10(x + 9) + 687", "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\": 10, \"d\": 9, \"e\": 687}", "seed": "15754545470940648071", "semantic_fingerprint": "sha256:9c92eef719fa288b9e35ed4c787017406a1b7ef81f8faa3678c7f8cb32f49a19", "generator_version": "3.0"}
{"id": "v3_test_id_00001364", "prompt": "Solve for x: x + 8 = 6x + 58", "solution_steps": ["Subtract 6x from both sides: -5x + 8 = 58", "Subtract 8 from both sides: -5x = 50", "Divide both sides by -5: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 8 = 6x + 58", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 6, \"d\": 58, \"x\": -10}", "seed": "12837241495750831205", "semantic_fingerprint": "sha256:21bfca25c03bc09445a58c84a39a211fac3a0124a4efbf07ab824353f8cb6440", "generator_version": "3.0"}
{"id": "v3_test_id_00001365", "prompt": "What is -45 + (-479) / (-62)?", "solution_steps": ["Divide: -479 / (-62) = 479/62", "Add: -45 + 479/62 = -2311/62"], "final_answer": "-2311/62", "answer_type": "rational", "kind": "expression", "math_text": "-45 + (-479) / (-62)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": -479, \"c\": -62}", "seed": "14645525201326361564", "semantic_fingerprint": "sha256:cc75d6370bf223b143bfd5863b774cd616dc7ecbc34cfa7ad0141260ef7fed4f", "generator_version": "3.0"}
{"id": "v3_test_id_00001366", "prompt": "Calculate: 215 - (-148)", "solution_steps": ["Subtract: 215 - (-148) = 363"], "final_answer": "363", "answer_type": "integer", "kind": "expression", "math_text": "215 - (-148)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 215, \"b\": -148}", "seed": "9044681090251891680", "semantic_fingerprint": "sha256:f043e691762b657b1e325b1b8736c82398b3edd04b29e2f10c6ba62b013bc5a1", "generator_version": "3.0"}
{"id": "v3_test_id_00001367", "prompt": "What is (7 - 6 + 10) / 35?", "solution_steps": ["Subtract: 7 - 6 = 1", "Add: 1 + 10 = 11", "Divide: 11 / 35 = 11/35"], "final_answer": "11/35", "answer_type": "rational", "kind": "expression", "math_text": "(7 - 6 + 10) / 35", "variable": null, "family": "expression_3op", "shape": "(/ (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": 10, \"d\": 35}", "seed": "2907774094635192195", "semantic_fingerprint": "sha256:e302193b7e5fe154458c71d6fc2a2bb83d03c711488b3bbd41a6aea22a0e7606", "generator_version": "3.0"}
{"id": "v3_test_id_00001368", "prompt": "Compute: 0 + (-88) / (-13) * 0 + 130 / 7", "solution_steps": ["Divide: -88 / (-13) = 88/13", "Multiply: (88/13) * 0 = 0", "Add: 0 + 0 = 0", "Divide: 130 / 7 = 130/7", "Add: 0 + 130/7 = 130/7"], "final_answer": "130/7", "answer_type": "rational", "kind": "expression", "math_text": "0 + (-88) / (-13) * 0 + 130 / 7", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (* (/ n n) n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -88, \"c\": -13, \"d\": 0, \"e\": 130, \"f\": 7}", "seed": "14991675410101903991", "semantic_fingerprint": "sha256:7fdaadf05d9858bedf84b5493b21ead82e48a907066247f1a31e6851327de1cb", "generator_version": "3.0"}
{"id": "v3_test_id_00001369", "prompt": "Compute: -339 * (-27) - 0 + (-59 + 99)", "solution_steps": ["Multiply: -339 * (-27) = 9153", "Subtract: 9153 - 0 = 9153", "Add: -59 + 99 = 40", "Add: 9153 + 40 = 9193"], "final_answer": "9193", "answer_type": "integer", "kind": "expression", "math_text": "-339 * (-27) - 0 + (-59 + 99)", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -339, \"b\": -27, \"c\": 0, \"d\": -59, \"e\": 99}", "seed": "7856554091918480165", "semantic_fingerprint": "sha256:715087475f53af3e3cb4624dc867e72d024228d9843ab406bd37cf377b445de0", "generator_version": "3.0"}
{"id": "v3_test_id_00001370", "prompt": "What is 7 / 7 * (-4)?", "solution_steps": ["Divide: 7 / 7 = 1", "Multiply: 1 * (-4) = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "expression", "math_text": "7 / 7 * (-4)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": -4}", "seed": "4971916274773860510", "semantic_fingerprint": "sha256:50aa8d15be895078a908cd51843af657b221afe3abb9636b294b45f3ddb32f60", "generator_version": "3.0"}
{"id": "v3_test_id_00001371", "prompt": "What is -8 * (3 + (-60) / (-101))?", "solution_steps": ["Divide: -60 / (-101) = 60/101", "Add: 3 + 60/101 = 363/101", "Multiply: -8 * (363/101) = -2904/101"], "final_answer": "-2904/101", "answer_type": "rational", "kind": "expression", "math_text": "-8 * (3 + (-60) / (-101))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 3, \"c\": -60, \"d\": -101}", "seed": "15007928184615743518", "semantic_fingerprint": "sha256:749d885f9c8d7701d1dfcef32c20d9cec812f0c06f170437100de6b2fb2a0b33", "generator_version": "3.0"}
{"id": "v3_test_id_00001372", "prompt": "Evaluate: 964 / 6 + (897 - (-3)) + (-39)", "solution_steps": ["Divide: 964 / 6 = 482/3", "Subtract: 897 - (-3) = 900", "Add: 482/3 + 900 = 3182/3", "Add: 3182/3 + (-39) = 3065/3"], "final_answer": "3065/3", "answer_type": "rational", "kind": "expression", "math_text": "964 / 6 + (897 - (-3)) + (-39)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 964, \"b\": 6, \"c\": 897, \"d\": -3, \"e\": -39}", "seed": "1682506567789363147", "semantic_fingerprint": "sha256:4bca9de57faa755404ed6ca41d6122f84428f34246d5b91dd826c3c22d85afcb", "generator_version": "3.0"}
{"id": "v3_test_id_00001373", "prompt": "Evaluate: 5 * 6 - 0", "solution_steps": ["Multiply: 5 * 6 = 30", "Subtract: 30 - 0 = 30"], "final_answer": "30", "answer_type": "integer", "kind": "expression", "math_text": "5 * 6 - 0", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"c\": 0}", "seed": "10269959516171159546", "semantic_fingerprint": "sha256:4bcd35293257a9a91891c95602302a2b79d3c5a3500dd3c598e1c15ca8bded13", "generator_version": "3.0"}
{"id": "v3_test_id_00001374", "prompt": "Solve the equation 2(x + 304) - 22 = 12x for x.", "solution_steps": ["Expand: 2x + 608 - 22 = 12x", "Combine constants: 2x + 586 = 12x", "Subtract 12x from both sides: -10x + 586 = 0", "Subtract 586 from both sides: -10x = -586", "Divide both sides by -10: x = 293/5"], "final_answer": "293/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 304) - 22 = 12x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 304, \"c\": 22, \"d\": 12}", "seed": "12136861571325518583", "semantic_fingerprint": "sha256:8d6b56c93f984320072e1e6371b3214cdc0e445d77a4954d4dc3d5f6b55e03ec", "generator_version": "3.0"}
{"id": "v3_test_id_00001375", "prompt": "Find x: 2(x + 25) = 7(x - 94) - 57", "solution_steps": ["Expand: 2x + 50 = 7(x - 94) - 57", "Expand: 2x + 50 = 7x - 658 - 57", "Combine constants: 2x + 50 = 7x - 715", "Subtract 7x from both sides: -5x + 50 = -715", "Subtract 50 from both sides: -5x = -765", "Divide both sides by -5: x = 153"], "final_answer": "153", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 25) = 7(x - 94) - 57", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 25, \"c\": 7, \"d\": 94, \"e\": 57}", "seed": "13771976374259708187", "semantic_fingerprint": "sha256:03b368c79941352e70b3335fe2c05ccae1bd151f286e9dc83b9daf4b2a39d8d3", "generator_version": "3.0"}
{"id": "v3_test_id_00001376", "prompt": "Calculate: 25 * (-768) - 0", "solution_steps": ["Multiply: 25 * (-768) = -19200", "Subtract: -19200 - 0 = -19200"], "final_answer": "-19200", "answer_type": "integer", "kind": "expression", "math_text": "25 * (-768) - 0", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": -768, \"c\": 0}", "seed": "16912815393116785694", "semantic_fingerprint": "sha256:20a8deb8cb9b70082518197aad992191c3e61e4ca109b1d0b404e34501389ff7", "generator_version": "3.0"}
{"id": "v3_test_id_00001377", "prompt": "Compute: 13 + (-75)", "solution_steps": ["Add: 13 + (-75) = -62"], "final_answer": "-62", "answer_type": "integer", "kind": "expression", "math_text": "13 + (-75)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": -75}", "seed": "11778104581611846655", "semantic_fingerprint": "sha256:222d63a1e43b052639bedd2c8ff34a6d86c147866d7139c88c6c6668c99390dc", "generator_version": "3.0"}
{"id": "v3_test_id_00001378", "prompt": "What value of x satisfies -8(x + 907) = 2x - 48?", "solution_steps": ["Expand: -8x - 7256 = 2x - 48", "Subtract 2x from both sides: -10x - 7256 = -48", "Add 7256 to both sides: -10x = 7208", "Divide both sides by -10: x = -3604/5"], "final_answer": "-3604/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x + 907) = 2x - 48", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 907, \"c\": 2, \"d\": 48}", "seed": "12801371642665665993", "semantic_fingerprint": "sha256:e6b5de17fdd19a42df17f583c22c5a69330c401d3f7a68cacc96444489244125", "generator_version": "3.0"}
{"id": "v3_test_id_00001379", "prompt": "Compute: 9 / (-279) * (-3) / 72 - 0 - 439", "solution_steps": ["Divide: 9 / (-279) = -1/31", "Multiply: (-1/31) * (-3) = 3/31", "Divide: (3/31) / 72 = 1/744", "Subtract: 1/744 - 0 = 1/744", "Subtract: 1/744 - 439 = -326615/744"], "final_answer": "-326615/744", "answer_type": "rational", "kind": "expression", "math_text": "9 / (-279) * (-3) / 72 - 0 - 439", "variable": null, "family": "expression_5op", "shape": "(- (- (/ (* (/ n n) n) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -279, \"c\": -3, \"d\": 72, \"e\": 0, \"f\": 439}", "seed": "14306520381288147167", "semantic_fingerprint": "sha256:8f6ff12938e311c31ab09e282fc5a6759fe820684e51127b6eed5c9d12079bc1", "generator_version": "3.0"}
{"id": "v3_test_id_00001380", "prompt": "Solve for x: 11(x + 540) + 3 = 3(x - 950) + 42", "solution_steps": ["Expand: 11x + 5940 + 3 = 3(x - 950) + 42", "Expand: 11x + 5940 + 3 = 3x - 2850 + 42", "Combine constants: 11x + 5943 = 3x - 2850 + 42", "Combine constants: 11x + 5943 = 3x - 2808", "Subtract 3x from both sides: 8x + 5943 = -2808", "Subtract 5943 from both sides: 8x = -8751", "Divide both sides by 8: x = -8751/8"], "final_answer": "-8751/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 540) + 3 = 3(x - 950) + 42", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 540, \"c\": 3, \"d\": 3, \"e\": 950, \"f\": 42}", "seed": "997680117744906240", "semantic_fingerprint": "sha256:07c04ce6e1e8a2966e3b38d5f5a4eebde2f03a2f043f71970d76ba02732f7a40", "generator_version": "3.0"}
{"id": "v3_test_id_00001381", "prompt": "Solve the equation 11(x - 9) = x for x.", "solution_steps": ["Expand: 11x - 99 = x", "Subtract x from both sides: 10x - 99 = 0", "Add 99 to both sides: 10x = 99", "Divide both sides by 10: x = 99/10"], "final_answer": "99/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 9) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 9}", "seed": "11909523131919857262", "semantic_fingerprint": "sha256:97894a2cd8c4445921166db212464dbba03d8016a3d3694f5ebcc7de97f9e13e", "generator_version": "3.0"}
{"id": "v3_test_id_00001382", "prompt": "What is -378 - (-915 - 59)?", "solution_steps": ["Subtract: -915 - 59 = -974", "Subtract: -378 - (-974) = 596"], "final_answer": "596", "answer_type": "integer", "kind": "expression", "math_text": "-378 - (-915 - 59)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -378, \"b\": -915, \"c\": 59}", "seed": "9806080662557963276", "semantic_fingerprint": "sha256:6c314a7fe7da645d253b73a1e3c4c6d56a9d25a7c14d1cecf533860f7d699d59", "generator_version": "3.0"}
{"id": "v3_test_id_00001383", "prompt": "What is 53 * (-26) + 52?", "solution_steps": ["Multiply: 53 * (-26) = -1378", "Add: -1378 + 52 = -1326"], "final_answer": "-1326", "answer_type": "integer", "kind": "expression", "math_text": "53 * (-26) + 52", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": -26, \"c\": 52}", "seed": "9632282940301776133", "semantic_fingerprint": "sha256:02810376f37c93b7458a01ea789541c3662ec1562df583e5d7e190f569b040a0", "generator_version": "3.0"}
{"id": "v3_test_id_00001384", "prompt": "Calculate: 72 - (809 - 983 + 84)", "solution_steps": ["Subtract: 809 - 983 = -174", "Add: -174 + 84 = -90", "Subtract: 72 - (-90) = 162"], "final_answer": "162", "answer_type": "integer", "kind": "expression", "math_text": "72 - (809 - 983 + 84)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": 809, \"c\": 983, \"d\": 84}", "seed": "8224571617516703308", "semantic_fingerprint": "sha256:ce5f368dfa174d3ad48a995cf18e05b2fc54d270ecc686a42385834448f4309b", "generator_version": "3.0"}
{"id": "v3_test_id_00001385", "prompt": "What is 2 / (37 + (-6) / (-4)) / (-51) + 24?", "solution_steps": ["Divide: -6 / (-4) = 3/2", "Add: 37 + 3/2 = 77/2", "Divide: 2 / (77/2) = 4/77", "Divide: (4/77) / (-51) = -4/3927", "Add: -4/3927 + 24 = 94244/3927"], "final_answer": "94244/3927", "answer_type": "rational", "kind": "expression", "math_text": "2 / (37 + (-6) / (-4)) / (-51) + 24", "variable": null, "family": "expression_5op", "shape": "(+ (/ (/ n (+ n (/ n n))) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 37, \"c\": -6, \"d\": -4, \"e\": -51, \"f\": 24}", "seed": "2477441246087929374", "semantic_fingerprint": "sha256:6420f20183a1e3ed3be9ecee17ccc8c34566ce6c7f94b8b742dc888976914993", "generator_version": "3.0"}
{"id": "v3_test_id_00001386", "prompt": "What is 2 * (-838) + 73?", "solution_steps": ["Multiply: 2 * (-838) = -1676", "Add: -1676 + 73 = -1603"], "final_answer": "-1603", "answer_type": "integer", "kind": "expression", "math_text": "2 * (-838) + 73", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -838, \"c\": 73}", "seed": "14317903176158215179", "semantic_fingerprint": "sha256:8f79bc7b155d41481ef7e0b4293f2c58a57160300d35e6ee14be5e8c27f4c88e", "generator_version": "3.0"}
{"id": "v3_test_id_00001387", "prompt": "What is -60 - (65 - 730) / (-1)?", "solution_steps": ["Subtract: 65 - 730 = -665", "Divide: -665 / (-1) = 665", "Subtract: -60 - 665 = -725"], "final_answer": "-725", "answer_type": "integer", "kind": "expression", "math_text": "-60 - (65 - 730) / (-1)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": 65, \"c\": 730, \"d\": -1}", "seed": "12486043835165675259", "semantic_fingerprint": "sha256:107cba8c19e4588dcf5a0f11b6e679d6412397fc24f30fcdff2680300baf40ff", "generator_version": "3.0"}
{"id": "v3_test_id_00001388", "prompt": "Solve for x: x + 83 = 3(x + 15) - 513", "solution_steps": ["Expand: x + 83 = 3x + 45 - 513", "Combine constants: x + 83 = 3x - 468", "Subtract 3x from both sides: -2x + 83 = -468", "Subtract 83 from both sides: -2x = -551", "Divide both sides by -2: x = 551/2"], "final_answer": "551/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 83 = 3(x + 15) - 513", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 3, \"c\": 15, \"d\": 513}", "seed": "17490941674537560533", "semantic_fingerprint": "sha256:2d75fb42e3b10708fd040586701dc23145d7c9de7829b0d35b1c1bc2a581be79", "generator_version": "3.0"}
{"id": "v3_test_id_00001389", "prompt": "Solve the equation 4(x + 3) = 8x for x.", "solution_steps": ["Expand: 4x + 12 = 8x", "Subtract 8x from both sides: -4x + 12 = 0", "Subtract 12 from both sides: -4x = -12", "Divide both sides by -4: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 3) = 8x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 3, \"c\": 8}", "seed": "3374917697105840189", "semantic_fingerprint": "sha256:4b2b87ae35e04355d63ee19e97da24dfc632a3d0ca6fecbdd131f0a28bbc901c", "generator_version": "3.0"}
{"id": "v3_test_id_00001390", "prompt": "Calculate: 63 * 0 - (-762) * 941", "solution_steps": ["Multiply: 63 * 0 = 0", "Multiply: -762 * 941 = -717042", "Subtract: 0 - (-717042) = 717042"], "final_answer": "717042", "answer_type": "integer", "kind": "expression", "math_text": "63 * 0 - (-762) * 941", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": 0, \"c\": -762, \"d\": 941}", "seed": "7621945963729349733", "semantic_fingerprint": "sha256:d8b744dc68aeb66bffc3b3ac963808b1b701d50dd4a2fd8a022dce7a50d1a683", "generator_version": "3.0"}
{"id": "v3_test_id_00001391", "prompt": "Evaluate: -627 * (-7)", "solution_steps": ["Multiply: -627 * (-7) = 4389"], "final_answer": "4389", "answer_type": "integer", "kind": "expression", "math_text": "-627 * (-7)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -627, \"b\": -7}", "seed": "2061304705861907041", "semantic_fingerprint": "sha256:ebc5585b9801a758af12ba15ed404027c35a7fa0dec13476a092a5d38f476df9", "generator_version": "3.0"}
{"id": "v3_test_id_00001392", "prompt": "What is (-25 - 74) / (-44)?", "solution_steps": ["Subtract: -25 - 74 = -99", "Divide: -99 / (-44) = 9/4"], "final_answer": "9/4", "answer_type": "rational", "kind": "expression", "math_text": "(-25 - 74) / (-44)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": 74, \"c\": -44}", "seed": "10529012454867479989", "semantic_fingerprint": "sha256:821bfaace6aa81b30320fb33e7ef1149c42f5fa9e18b9a53cc4dc6617bedfd00", "generator_version": "3.0"}
{"id": "v3_test_id_00001393", "prompt": "Calculate: (-13 - (-4) * 75 - 4) / (-1)", "solution_steps": ["Multiply: -4 * 75 = -300", "Subtract: -13 - (-300) = 287", "Subtract: 287 - 4 = 283", "Divide: 283 / (-1) = -283"], "final_answer": "-283", "answer_type": "integer", "kind": "expression", "math_text": "(-13 - (-4) * 75 - 4) / (-1)", "variable": null, "family": "expression_4op", "shape": "(/ (- (- n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": -4, \"c\": 75, \"d\": 4, \"e\": -1}", "seed": "6048279347022944972", "semantic_fingerprint": "sha256:7d09f1389f250722570e4852b135b406b5944208e64bb7378a7b4ac14775da03", "generator_version": "3.0"}
{"id": "v3_test_id_00001394", "prompt": "What is 0 / (-34) / 38 - 97 * 95?", "solution_steps": ["Divide: 0 / (-34) = 0", "Divide: 0 / 38 = 0", "Multiply: 97 * 95 = 9215", "Subtract: 0 - 9215 = -9215"], "final_answer": "-9215", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-34) / 38 - 97 * 95", "variable": null, "family": "expression_4op", "shape": "(- (/ (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -34, \"c\": 38, \"d\": 97, \"e\": 95}", "seed": "1704007731413920402", "semantic_fingerprint": "sha256:321ec956caf0b09a68d476564856afeb516c6ed4743a1c1101c7e46dabed4d56", "generator_version": "3.0"}
{"id": "v3_test_id_00001395", "prompt": "What value of x satisfies x + 204 = -3(x - 2) - 2?", "solution_steps": ["Expand: x + 204 = -3x + 6 - 2", "Combine constants: x + 204 = -3x + 4", "Add 3x to both sides: 4x + 204 = 4", "Subtract 204 from both sides: 4x = -200", "Divide both sides by 4: x = -50"], "final_answer": "-50", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 204 = -3(x - 2) - 2", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 204, \"b\": -3, \"c\": 2, \"d\": 2}", "seed": "9072702906184884788", "semantic_fingerprint": "sha256:4120cd4bdb6358ce953c89ba2b7eaf3c69497fba1db26e8253414278e8dcd3ce", "generator_version": "3.0"}
{"id": "v3_test_id_00001396", "prompt": "Evaluate: 88 - 312 / 85", "solution_steps": ["Divide: 312 / 85 = 312/85", "Subtract: 88 - 312/85 = 7168/85"], "final_answer": "7168/85", "answer_type": "rational", "kind": "expression", "math_text": "88 - 312 / 85", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": 312, \"c\": 85}", "seed": "10175913126055111257", "semantic_fingerprint": "sha256:dfbed1a41d88e437d80c1971abc9b31a9d20c502cf22b569675493c5831936a8", "generator_version": "3.0"}
{"id": "v3_test_id_00001397", "prompt": "Calculate: 39 - (-18)", "solution_steps": ["Subtract: 39 - (-18) = 57"], "final_answer": "57", "answer_type": "integer", "kind": "expression", "math_text": "39 - (-18)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": -18}", "seed": "12005892313699419894", "semantic_fingerprint": "sha256:ae8740b92f56f47d7e7e68c9d9700256eed0d150bb133b53279624e2910b907c", "generator_version": "3.0"}
{"id": "v3_test_id_00001398", "prompt": "Calculate: -168 / (-74 + (2 + 8))", "solution_steps": ["Add: 2 + 8 = 10", "Add: -74 + 10 = -64", "Divide: -168 / (-64) = 21/8"], "final_answer": "21/8", "answer_type": "rational", "kind": "expression", "math_text": "-168 / (-74 + (2 + 8))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -168, \"b\": -74, \"c\": 2, \"d\": 8}", "seed": "17966277154132671138", "semantic_fingerprint": "sha256:483b82b14c1528f57a203e9d6c8e0867640900c41db10c3ad587adb5a943763a", "generator_version": "3.0"}
{"id": "v3_test_id_00001399", "prompt": "Evaluate: 860 - 3 / (-87)", "solution_steps": ["Divide: 3 / (-87) = -1/29", "Subtract: 860 - (-1/29) = 24941/29"], "final_answer": "24941/29", "answer_type": "rational", "kind": "expression", "math_text": "860 - 3 / (-87)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 860, \"b\": 3, \"c\": -87}", "seed": "6699332065432384392", "semantic_fingerprint": "sha256:4cdad5b00cbc761eff90c7576093c2b422ad0cf00b0f4ae6e8fb93e8fd70edd6", "generator_version": "3.0"}
{"id": "v3_test_id_00001400", "prompt": "Calculate: 704 - 92 - (-3) + (-1 + (-11))", "solution_steps": ["Subtract: 704 - 92 = 612", "Subtract: 612 - (-3) = 615", "Add: -1 + (-11) = -12", "Add: 615 + (-12) = 603"], "final_answer": "603", "answer_type": "integer", "kind": "expression", "math_text": "704 - 92 - (-3) + (-1 + (-11))", "variable": null, "family": "expression_4op", "shape": "(+ (- (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 704, \"b\": 92, \"c\": -3, \"d\": -1, \"e\": -11}", "seed": "17093569465306040865", "semantic_fingerprint": "sha256:18764d090c4a4393cf0553112315fa595c79ab3e4ff7c48e54fe5b69c96d3ecd", "generator_version": "3.0"}
{"id": "v3_test_id_00001401", "prompt": "What is (14 - (-66)) / 61?", "solution_steps": ["Subtract: 14 - (-66) = 80", "Divide: 80 / 61 = 80/61"], "final_answer": "80/61", "answer_type": "rational", "kind": "expression", "math_text": "(14 - (-66)) / 61", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": -66, \"c\": 61}", "seed": "11249064398521716177", "semantic_fingerprint": "sha256:2a3998506bca491d74dbacc540560b6d12b40ef40439e7bf770d8c54d2b8d457", "generator_version": "3.0"}
{"id": "v3_test_id_00001402", "prompt": "Calculate: 0 + 2 * (0 / (-6))", "solution_steps": ["Divide: 0 / (-6) = 0", "Multiply: 2 * 0 = 0", "Add: 0 + 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 + 2 * (0 / (-6))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 2, \"c\": 0, \"d\": -6}", "seed": "1846492737882016250", "semantic_fingerprint": "sha256:842d3f07fb21272946f66e787395ce44d3d4ff91f8ee1e7c91478476b6be9b5b", "generator_version": "3.0"}
{"id": "v3_test_id_00001403", "prompt": "What is 2 + (-1) * 6?", "solution_steps": ["Multiply: -1 * 6 = -6", "Add: 2 + (-6) = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "expression", "math_text": "2 + (-1) * 6", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -1, \"c\": 6}", "seed": "11207177880826240306", "semantic_fingerprint": "sha256:0b947b1c7ea4d5464c96ae0a984914429052c1da31cb30f15b16d8a8e2f95aea", "generator_version": "3.0"}
{"id": "v3_test_id_00001404", "prompt": "Solve for x: -11x + 52 = 52", "solution_steps": ["Subtract 52 from both sides: -11x = 0", "Divide both sides by -11: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x + 52 = 52", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 52, \"d\": 52, \"x\": 0}", "seed": "9302912152546674052", "semantic_fingerprint": "sha256:9bc8a8719dd60cf1aa1f760628e4f1b9b7588f375bd19ca1773cf215ed615480", "generator_version": "3.0"}
{"id": "v3_test_id_00001405", "prompt": "Evaluate: -216 - (828 - 214)", "solution_steps": ["Subtract: 828 - 214 = 614", "Subtract: -216 - 614 = -830"], "final_answer": "-830", "answer_type": "integer", "kind": "expression", "math_text": "-216 - (828 - 214)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -216, \"b\": 828, \"c\": 214}", "seed": "4671065761697385933", "semantic_fingerprint": "sha256:0f0c44ed8988a1bfd77b72ce23c6987c37cc929b780ab3656a176f69fb2448ab", "generator_version": "3.0"}
{"id": "v3_test_id_00001406", "prompt": "Compute: 205 + 4", "solution_steps": ["Add: 205 + 4 = 209"], "final_answer": "209", "answer_type": "integer", "kind": "expression", "math_text": "205 + 4", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 205, \"b\": 4}", "seed": "9097744591618649420", "semantic_fingerprint": "sha256:ba51726a6ff4745f9e913939ccabdf1fa6fa572f5f20f89eae2df8258d654b05", "generator_version": "3.0"}
{"id": "v3_test_id_00001407", "prompt": "Compute: -42 + 22 - 57", "solution_steps": ["Add: -42 + 22 = -20", "Subtract: -20 - 57 = -77"], "final_answer": "-77", "answer_type": "integer", "kind": "expression", "math_text": "-42 + 22 - 57", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": 22, \"c\": 57}", "seed": "2415359896267607629", "semantic_fingerprint": "sha256:a81d6b302c05cf844c851046ac8f4af2897fd5ffb0ad818a2d8ff36145343d6a", "generator_version": "3.0"}
{"id": "v3_test_id_00001408", "prompt": "Solve the equation 12x = 7x - 70 for x.", "solution_steps": ["Subtract 7x from both sides: 5x = -70", "Divide both sides by 5: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = 7x - 70", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7, \"d\": -70, \"x\": -14}", "seed": "5606734869640326325", "semantic_fingerprint": "sha256:5503ba4d609c6bee9fa5332c4d89c27522873d8d3123ee7f42a118faff7a1c26", "generator_version": "3.0"}
{"id": "v3_test_id_00001409", "prompt": "Compute: 391 * (-9) - (-97 - 49)", "solution_steps": ["Multiply: 391 * (-9) = -3519", "Subtract: -97 - 49 = -146", "Subtract: -3519 - (-146) = -3373"], "final_answer": "-3373", "answer_type": "integer", "kind": "expression", "math_text": "391 * (-9) - (-97 - 49)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 391, \"b\": -9, \"c\": -97, \"d\": 49}", "seed": "4319454749066943362", "semantic_fingerprint": "sha256:3533f5d92e152b21aa9527dd72f0f621c65a996b4a0937e37e252bdb9adf9a0f", "generator_version": "3.0"}
{"id": "v3_test_id_00001410", "prompt": "Solve the equation -7(x - 1) + 3 = 12x - 9 for x.", "solution_steps": ["Expand: -7x + 7 + 3 = 12x - 9", "Combine constants: -7x + 10 = 12x - 9", "Subtract 12x from both sides: -19x + 10 = -9", "Subtract 10 from both sides: -19x = -19", "Divide both sides by -19: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 1) + 3 = 12x - 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 1, \"c\": 3, \"d\": 12, \"f\": -9, \"x\": 1}", "seed": "4125513730364330977", "semantic_fingerprint": "sha256:f8d21d1cd57d6a7876e509d42d31d7938048d63fa93c28fde9da0c47054a40b1", "generator_version": "3.0"}
{"id": "v3_test_id_00001411", "prompt": "What is -4 * 45 / (348 * (-68))?", "solution_steps": ["Multiply: -4 * 45 = -180", "Multiply: 348 * (-68) = -23664", "Divide: -180 / (-23664) = 15/1972"], "final_answer": "15/1972", "answer_type": "rational", "kind": "expression", "math_text": "-4 * 45 / (348 * (-68))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 45, \"c\": 348, \"d\": -68}", "seed": "12085451979010946149", "semantic_fingerprint": "sha256:c57c6f6953df37cd95272315e6a80eb526a2c529d116fb0a643c3a8529dc531c", "generator_version": "3.0"}
{"id": "v3_test_id_00001412", "prompt": "Calculate: -9 * (408 * 57)", "solution_steps": ["Multiply: 408 * 57 = 23256", "Multiply: -9 * 23256 = -209304"], "final_answer": "-209304", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (408 * 57)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 408, \"c\": 57}", "seed": "4058099089332435592", "semantic_fingerprint": "sha256:1e44776bb8d6f19d43bec6464f121561f9815c90fce86c6436b551f8ff580418", "generator_version": "3.0"}
{"id": "v3_test_id_00001413", "prompt": "Solve for x: x = 12(x + 5)", "solution_steps": ["Expand: x = 12x + 60", "Subtract 12x from both sides: -11x = 60", "Divide both sides by -11: x = -60/11"], "final_answer": "-60/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 12(x + 5)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5}", "seed": "14012510380172290101", "semantic_fingerprint": "sha256:c480713b74346011fff8589e0246b8d9d096274bcec4a019226cfba1e91d2a74", "generator_version": "3.0"}
{"id": "v3_test_id_00001414", "prompt": "Find x: -3x + 37 = 31", "solution_steps": ["Subtract 37 from both sides: -3x = -6", "Divide both sides by -3: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x + 37 = 31", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 37, \"d\": 31, \"x\": 2}", "seed": "18190614175126123461", "semantic_fingerprint": "sha256:d805291af6ebfb82a96b0866ea05fbd59d056c3141d34a133287877083663ab2", "generator_version": "3.0"}
{"id": "v3_test_id_00001415", "prompt": "What is (799 + (-485)) * (-3 + (-97))?", "solution_steps": ["Add: 799 + (-485) = 314", "Add: -3 + (-97) = -100", "Multiply: 314 * (-100) = -31400"], "final_answer": "-31400", "answer_type": "integer", "kind": "expression", "math_text": "(799 + (-485)) * (-3 + (-97))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 799, \"b\": -485, \"c\": -3, \"d\": -97}", "seed": "8226274243410836490", "semantic_fingerprint": "sha256:df675799ea437be436dba74c36e53dd769ba663a8594460e473ee545d68e4720", "generator_version": "3.0"}
{"id": "v3_test_id_00001416", "prompt": "Compute: 1 * 82 * (-5 - 95)", "solution_steps": ["Multiply: 1 * 82 = 82", "Subtract: -5 - 95 = -100", "Multiply: 82 * (-100) = -8200"], "final_answer": "-8200", "answer_type": "integer", "kind": "expression", "math_text": "1 * 82 * (-5 - 95)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 82, \"c\": -5, \"d\": 95}", "seed": "4182816524894875098", "semantic_fingerprint": "sha256:feedddd68cf71baef716a01d23baab69ea96b04e4d2b59af8dc3a13989751a41", "generator_version": "3.0"}
{"id": "v3_test_id_00001417", "prompt": "What value of x satisfies 3x = 3?", "solution_steps": ["Divide both sides by 3: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 3", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3}", "seed": "9653991537522079883", "semantic_fingerprint": "sha256:acb07eddc45002fea8ced7a19fca2302b9ac5b163ed13f500151ec7de5446618", "generator_version": "3.0"}
{"id": "v3_test_id_00001418", "prompt": "What is 5 - 124?", "solution_steps": ["Subtract: 5 - 124 = -119"], "final_answer": "-119", "answer_type": "integer", "kind": "expression", "math_text": "5 - 124", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 124}", "seed": "15541343162895058757", "semantic_fingerprint": "sha256:d0dfae4cdaf6d4a802497d4dedd8c726bb36a760f7e1a38841a058a5ddad4dcf", "generator_version": "3.0"}
{"id": "v3_test_id_00001419", "prompt": "Find x: 9x = -6x + 90", "solution_steps": ["Add 6x to both sides: 15x = 90", "Divide both sides by 15: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = -6x + 90", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -6, \"d\": 90, \"x\": 6}", "seed": "1314492514942659230", "semantic_fingerprint": "sha256:308cbdcd4e4e59bbb7ad6f6ddc381e673d6c33e85cfab453a359c5b5b2637361", "generator_version": "3.0"}
{"id": "v3_test_id_00001420", "prompt": "Compute: -701 * (-7)", "solution_steps": ["Multiply: -701 * (-7) = 4907"], "final_answer": "4907", "answer_type": "integer", "kind": "expression", "math_text": "-701 * (-7)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -701, \"b\": -7}", "seed": "5180537427428869829", "semantic_fingerprint": "sha256:72787d9e1fae3acc18c6fbead0a2cd4b91b8475f99a6a9c6ae18115c89657ce9", "generator_version": "3.0"}
{"id": "v3_test_id_00001421", "prompt": "Find x: 11x = 5(x - 6)", "solution_steps": ["Expand: 11x = 5x - 30", "Subtract 5x from both sides: 6x = -30", "Divide both sides by 6: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = 5(x - 6)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": 6}", "seed": "10732253757498485693", "semantic_fingerprint": "sha256:6ed9f14f9be752e7c8f86780a40796d3f216ec160098047f39d38c74f4297610", "generator_version": "3.0"}
{"id": "v3_test_id_00001422", "prompt": "Solve for x: 2(x + 368) = x + 720", "solution_steps": ["Expand: 2x + 736 = x + 720", "Subtract x from both sides: x + 736 = 720", "Subtract 736 from both sides: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 368) = x + 720", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 368, \"d\": 720, \"x\": -16}", "seed": "1874663942974242346", "semantic_fingerprint": "sha256:4a059400638e9e09a905ae57066e4e403d164f786cda633687b38c1bba12f9b6", "generator_version": "3.0"}
{"id": "v3_test_id_00001423", "prompt": "Solve the equation -8(x + 8) = -2x - 148 for x.", "solution_steps": ["Expand: -8x - 64 = -2x - 148", "Add 2x to both sides: -6x - 64 = -148", "Add 64 to both sides: -6x = -84", "Divide both sides by -6: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 8) = -2x - 148", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 8, \"c\": -2, \"e\": -148, \"x\": 14}", "seed": "12201281382476669688", "semantic_fingerprint": "sha256:2192e059c21e1a07b4a8f8a3b161ab6c69177d1966edc0e130bcddfd071c2ff7", "generator_version": "3.0"}
{"id": "v3_test_id_00001424", "prompt": "Compute: -1 - 169 - 1 / (-258)", "solution_steps": ["Subtract: -1 - 169 = -170", "Divide: 1 / (-258) = -1/258", "Subtract: -170 - (-1/258) = -43859/258"], "final_answer": "-43859/258", "answer_type": "rational", "kind": "expression", "math_text": "-1 - 169 - 1 / (-258)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 169, \"c\": 1, \"d\": -258}", "seed": "16652351412727214086", "semantic_fingerprint": "sha256:94fe34c8e1c48063469c2345c8c8cf529db49c6db4971252c799b6fdc29a05c8", "generator_version": "3.0"}
{"id": "v3_test_id_00001425", "prompt": "Evaluate: 23 - (-9 - 4) * (-8) - (-8) / (-924)", "solution_steps": ["Subtract: -9 - 4 = -13", "Multiply: -13 * (-8) = 104", "Subtract: 23 - 104 = -81", "Divide: -8 / (-924) = 2/231", "Subtract: -81 - 2/231 = -18713/231"], "final_answer": "-18713/231", "answer_type": "rational", "kind": "expression", "math_text": "23 - (-9 - 4) * (-8) - (-8) / (-924)", "variable": null, "family": "expression_5op", "shape": "(- (- n (* (- n n) n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": -9, \"c\": 4, \"d\": -8, \"e\": -8, \"f\": -924}", "seed": "16710156351150447246", "semantic_fingerprint": "sha256:997035d6e39e7f1081a0bfe21f8186245069d29cee00abbbb62ca9b816d5212a", "generator_version": "3.0"}
{"id": "v3_test_id_00001426", "prompt": "Evaluate: -93 / 86 * (-81 * (-7 * 1))", "solution_steps": ["Divide: -93 / 86 = -93/86", "Multiply: -7 * 1 = -7", "Multiply: -81 * (-7) = 567", "Multiply: (-93/86) * 567 = -52731/86"], "final_answer": "-52731/86", "answer_type": "rational", "kind": "expression", "math_text": "-93 / 86 * (-81 * (-7 * 1))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": 86, \"c\": -81, \"d\": -7, \"e\": 1}", "seed": "4463314950412588816", "semantic_fingerprint": "sha256:6b7944faab24f7a174738ad0dcbd64f26c76f694b20737a3d29f08c01a84b977", "generator_version": "3.0"}
{"id": "v3_test_id_00001427", "prompt": "Evaluate: 0 / 82", "solution_steps": ["Divide: 0 / 82 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / 82", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 82}", "seed": "9916537940935589739", "semantic_fingerprint": "sha256:4195747491c95fa9624400003fcfe45d3425b924fa037368c62f94506ab6b121", "generator_version": "3.0"}
{"id": "v3_test_id_00001428", "prompt": "What is 972 - (795 - (-5) / 44)?", "solution_steps": ["Divide: -5 / 44 = -5/44", "Subtract: 795 - (-5/44) = 34985/44", "Subtract: 972 - 34985/44 = 7783/44"], "final_answer": "7783/44", "answer_type": "rational", "kind": "expression", "math_text": "972 - (795 - (-5) / 44)", "variable": null, "family": "expression_3op", "shape": "(- n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 972, \"b\": 795, \"c\": -5, \"d\": 44}", "seed": "12167670211497294726", "semantic_fingerprint": "sha256:75debde3211cdfc7fa4cc7c1dd3dbd8452309fa8f330ae51a13b745886ab5550", "generator_version": "3.0"}
{"id": "v3_test_id_00001429", "prompt": "Calculate: -2 + (-2 - 0)", "solution_steps": ["Subtract: -2 - 0 = -2", "Add: -2 + (-2) = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "expression", "math_text": "-2 + (-2 - 0)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -2, \"c\": 0}", "seed": "15170456730641470160", "semantic_fingerprint": "sha256:82494d147b1bd48533ed9948df923339db298abace31163e1a37e8ed6e6a3171", "generator_version": "3.0"}
{"id": "v3_test_id_00001430", "prompt": "What is 0 + (-272) * 28 * (-124 + (-4))?", "solution_steps": ["Multiply: -272 * 28 = -7616", "Add: -124 + (-4) = -128", "Multiply: -7616 * (-128) = 974848", "Add: 0 + 974848 = 974848"], "final_answer": "974848", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-272) * 28 * (-124 + (-4))", "variable": null, "family": "expression_4op", "shape": "(+ n (* (* n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -272, \"c\": 28, \"d\": -124, \"e\": -4}", "seed": "6205887609939599432", "semantic_fingerprint": "sha256:93cbb1c81b326e866790e65cba7424960a1d0d1d5d7da17c1f7be00347159518", "generator_version": "3.0"}
{"id": "v3_test_id_00001431", "prompt": "Evaluate: -3 + (-50)", "solution_steps": ["Add: -3 + (-50) = -53"], "final_answer": "-53", "answer_type": "integer", "kind": "expression", "math_text": "-3 + (-50)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -50}", "seed": "16920216680026687610", "semantic_fingerprint": "sha256:f628dfff30dba3e73b13d20cd2cb0eb71f5cca937abb1d513ed0ef648cd35f2c", "generator_version": "3.0"}
{"id": "v3_test_id_00001432", "prompt": "What value of x satisfies 10x = 6(x - 6) + 4?", "solution_steps": ["Expand: 10x = 6x - 36 + 4", "Combine constants: 10x = 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": "10x = 6(x - 6) + 4", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 6, \"c\": 6, \"d\": 4}", "seed": "15513234489331363132", "semantic_fingerprint": "sha256:930ee47abd6977b7f815e4effb47d9d94b1b0da5b2d5742f18c99655604dd556", "generator_version": "3.0"}
{"id": "v3_test_id_00001433", "prompt": "Find x: x + 4 = 11(x + 16)", "solution_steps": ["Expand: x + 4 = 11x + 176", "Subtract 11x from both sides: -10x + 4 = 176", "Subtract 4 from both sides: -10x = 172", "Divide both sides by -10: x = -86/5"], "final_answer": "-86/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 4 = 11(x + 16)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 11, \"c\": 16}", "seed": "5896851633222465555", "semantic_fingerprint": "sha256:5245e819e37949794f84c21a6dd6eb042a0521d353c78deddb57cbaa4f1b8229", "generator_version": "3.0"}
{"id": "v3_test_id_00001434", "prompt": "What value of x satisfies -6x - 2 = -2?", "solution_steps": ["Add 2 to both sides: -6x = 0", "Divide both sides by -6: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x - 2 = -2", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 2, \"d\": -2, \"x\": 0}", "seed": "10320094103419114634", "semantic_fingerprint": "sha256:58059a8db0f8f88c775427f1b8429511c98d1c17468222bd967683dba6de8e1d", "generator_version": "3.0"}
{"id": "v3_test_id_00001435", "prompt": "Find x: 2x = x - 9", "solution_steps": ["Subtract x from both sides: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = x - 9", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9}", "seed": "402431089532931258", "semantic_fingerprint": "sha256:39d8ab7caba65d5de3604dfc6664e60c33bc53448fdff63c00e0b79c28407edf", "generator_version": "3.0"}
{"id": "v3_test_id_00001436", "prompt": "Calculate: 56 + 97 - (-4)", "solution_steps": ["Add: 56 + 97 = 153", "Subtract: 153 - (-4) = 157"], "final_answer": "157", "answer_type": "integer", "kind": "expression", "math_text": "56 + 97 - (-4)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 97, \"c\": -4}", "seed": "1695811869404530049", "semantic_fingerprint": "sha256:51d4cf4f5c461e8c8ada3c0b8e1d449baeec4edf78c02504eae40e0bfeade912", "generator_version": "3.0"}
{"id": "v3_test_id_00001437", "prompt": "Calculate: 87 * (-54 * (-29) / (-743))", "solution_steps": ["Multiply: -54 * (-29) = 1566", "Divide: 1566 / (-743) = -1566/743", "Multiply: 87 * (-1566/743) = -136242/743"], "final_answer": "-136242/743", "answer_type": "rational", "kind": "expression", "math_text": "87 * (-54 * (-29) / (-743))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 87, \"b\": -54, \"c\": -29, \"d\": -743}", "seed": "3005491799451783127", "semantic_fingerprint": "sha256:2b4679c79683434668ad95df33c2a1846049007d5c6733dd3f5445caed836ce1", "generator_version": "3.0"}
{"id": "v3_test_id_00001438", "prompt": "Evaluate: 4 - (-19 + 637) * 7", "solution_steps": ["Add: -19 + 637 = 618", "Multiply: 618 * 7 = 4326", "Subtract: 4 - 4326 = -4322"], "final_answer": "-4322", "answer_type": "integer", "kind": "expression", "math_text": "4 - (-19 + 637) * 7", "variable": null, "family": "expression_3op", "shape": "(- n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -19, \"c\": 637, \"d\": 7}", "seed": "5134809039242504785", "semantic_fingerprint": "sha256:a4ebc4a9b09ab73d719b15bada289a6b09642437ee057ee2a07fc9b8e6d32667", "generator_version": "3.0"}
{"id": "v3_test_id_00001439", "prompt": "What value of x satisfies x = -9(x - 8) - 72?", "solution_steps": ["Expand: x = -9x + 72 - 72", "Combine constants: x = -9x", "Add 9x to both sides: 10x = 0", "Divide both sides by 10: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -9(x - 8) - 72", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 8, \"d\": -72, \"x\": 0}", "seed": "5881847518948373938", "semantic_fingerprint": "sha256:7325be6e8b7565f379c7ba9fa3281445feab53e27c9ed6835ffa7db9006934d4", "generator_version": "3.0"}
{"id": "v3_test_id_00001440", "prompt": "What value of x satisfies 9(x + 530) = -8x - 389?", "solution_steps": ["Expand: 9x + 4770 = -8x - 389", "Add 8x to both sides: 17x + 4770 = -389", "Subtract 4770 from both sides: 17x = -5159", "Divide both sides by 17: x = -5159/17"], "final_answer": "-5159/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 530) = -8x - 389", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 530, \"c\": -8, \"d\": 389}", "seed": "15694917024791074870", "semantic_fingerprint": "sha256:362fdc2a5221454efcfbd6bb92012ce8a6beff63841bb37dcdffbba30475d9a3", "generator_version": "3.0"}
{"id": "v3_test_id_00001441", "prompt": "Compute: (-862 - 210 * 63) / (8 / 2)", "solution_steps": ["Multiply: 210 * 63 = 13230", "Subtract: -862 - 13230 = -14092", "Divide: 8 / 2 = 4", "Divide: -14092 / 4 = -3523"], "final_answer": "-3523", "answer_type": "integer", "kind": "expression", "math_text": "(-862 - 210 * 63) / (8 / 2)", "variable": null, "family": "expression_4op", "shape": "(/ (- n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -862, \"b\": 210, \"c\": 63, \"d\": 8, \"e\": 2}", "seed": "6060073461568034088", "semantic_fingerprint": "sha256:6cf5fb42f5e537b4ea9bb708958ec0445f2bd627576f07337c0b36ac807da971", "generator_version": "3.0"}
{"id": "v3_test_id_00001442", "prompt": "Evaluate: -65 + (-34) / (-256)", "solution_steps": ["Divide: -34 / (-256) = 17/128", "Add: -65 + 17/128 = -8303/128"], "final_answer": "-8303/128", "answer_type": "rational", "kind": "expression", "math_text": "-65 + (-34) / (-256)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -34, \"c\": -256}", "seed": "8400775399361130245", "semantic_fingerprint": "sha256:71e0472de069c18a962003606e06d5948eb56f8f5aac5b6f9af10ece75349b49", "generator_version": "3.0"}
{"id": "v3_test_id_00001443", "prompt": "Compute: 96 + (7 + 31)", "solution_steps": ["Add: 7 + 31 = 38", "Add: 96 + 38 = 134"], "final_answer": "134", "answer_type": "integer", "kind": "expression", "math_text": "96 + (7 + 31)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": 7, \"c\": 31}", "seed": "7265576101155000900", "semantic_fingerprint": "sha256:31bdced84fb13b3a530c4e866e6ee3e5776a4d0d9a993d5cee146c9effcd1e3c", "generator_version": "3.0"}
{"id": "v3_test_id_00001444", "prompt": "What is 415 / 2 * 887?", "solution_steps": ["Divide: 415 / 2 = 415/2", "Multiply: (415/2) * 887 = 368105/2"], "final_answer": "368105/2", "answer_type": "rational", "kind": "expression", "math_text": "415 / 2 * 887", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 415, \"b\": 2, \"c\": 887}", "seed": "9107308642770280926", "semantic_fingerprint": "sha256:452fe7df2b4e331ebb4b21f37e8c2db4b4112a9f574b39c17d53f980e2894e52", "generator_version": "3.0"}
{"id": "v3_test_id_00001445", "prompt": "Compute: (-434 - 7 + (-568)) / (-25)", "solution_steps": ["Subtract: -434 - 7 = -441", "Add: -441 + (-568) = -1009", "Divide: -1009 / (-25) = 1009/25"], "final_answer": "1009/25", "answer_type": "rational", "kind": "expression", "math_text": "(-434 - 7 + (-568)) / (-25)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -434, \"b\": 7, \"c\": -568, \"d\": -25}", "seed": "17163483604251370801", "semantic_fingerprint": "sha256:cc5d7ba51d27af77e4018affc6e44ca7b76c35bf5c11f98e4ce321b2986d916a", "generator_version": "3.0"}
{"id": "v3_test_id_00001446", "prompt": "What value of x satisfies 6(x + 8) + 71 = 8(x + 2) + 62?", "solution_steps": ["Expand: 6x + 48 + 71 = 8(x + 2) + 62", "Expand: 6x + 48 + 71 = 8x + 16 + 62", "Combine constants: 6x + 119 = 8x + 16 + 62", "Combine constants: 6x + 119 = 8x + 78", "Subtract 8x from both sides: -2x + 119 = 78", "Subtract 119 from both sides: -2x = -41", "Divide both sides by -2: x = 41/2"], "final_answer": "41/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 8) + 71 = 8(x + 2) + 62", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": 71, \"d\": 8, \"e\": 2, \"f\": 62}", "seed": "11048915010342401704", "semantic_fingerprint": "sha256:5e3e1b16cf0b9489ed78118f87993a949b4f3c814809626c99e513f22aea97a2", "generator_version": "3.0"}
{"id": "v3_test_id_00001447", "prompt": "Solve the equation -2(x + 9) = -12(x - 93) for x.", "solution_steps": ["Expand: -2x - 18 = -12(x - 93)", "Expand: -2x - 18 = -12x + 1116", "Add 12x to both sides: 10x - 18 = 1116", "Add 18 to both sides: 10x = 1134", "Divide both sides by 10: x = 567/5"], "final_answer": "567/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x + 9) = -12(x - 93)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 9, \"c\": -12, \"d\": 93}", "seed": "7424209024805410995", "semantic_fingerprint": "sha256:68c814bb49b8b6d7cfea54a8c80de16ad4c2406cfd0bff4766470bfc9432196f", "generator_version": "3.0"}
{"id": "v3_test_id_00001448", "prompt": "What is -490 / (-86 + (-2) + (-464 * (-7) + (-19)))?", "solution_steps": ["Add: -86 + (-2) = -88", "Multiply: -464 * (-7) = 3248", "Add: 3248 + (-19) = 3229", "Add: -88 + 3229 = 3141", "Divide: -490 / 3141 = -490/3141"], "final_answer": "-490/3141", "answer_type": "rational", "kind": "expression", "math_text": "-490 / (-86 + (-2) + (-464 * (-7) + (-19)))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ (+ n n) (+ (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -490, \"b\": -86, \"c\": -2, \"d\": -464, \"e\": -7, \"f\": -19}", "seed": "16258988061594639230", "semantic_fingerprint": "sha256:4a0d25ccb7f501812d0609720ce1f4c468f3f8b8f676e95bcf6d40fa9767443a", "generator_version": "3.0"}
{"id": "v3_test_id_00001449", "prompt": "Compute: (560 * 8 + 66) * (43 / (-4))", "solution_steps": ["Multiply: 560 * 8 = 4480", "Add: 4480 + 66 = 4546", "Divide: 43 / (-4) = -43/4", "Multiply: 4546 * (-43/4) = -97739/2"], "final_answer": "-97739/2", "answer_type": "rational", "kind": "expression", "math_text": "(560 * 8 + 66) * (43 / (-4))", "variable": null, "family": "expression_4op", "shape": "(* (+ (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 560, \"b\": 8, \"c\": 66, \"d\": 43, \"e\": -4}", "seed": "14325802413120165938", "semantic_fingerprint": "sha256:29db8cebd5fc4f7259378565fac33c8d38ac6f4d45979786a7591d7261fd5b16", "generator_version": "3.0"}
{"id": "v3_test_id_00001450", "prompt": "Solve for x: x - 933 = 9(x - 93)", "solution_steps": ["Expand: x - 933 = 9x - 837", "Subtract 9x from both sides: -8x - 933 = -837", "Add 933 to both sides: -8x = 96", "Divide both sides by -8: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 933 = 9(x - 93)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 93, \"d\": -933, \"x\": -12}", "seed": "7188587963285549912", "semantic_fingerprint": "sha256:f01d68d2c5741e1f250238fa50662e19786171641f951e7deeb24f14c0760a08", "generator_version": "3.0"}
{"id": "v3_test_id_00001451", "prompt": "What is (125 + 4) * 2 - 7?", "solution_steps": ["Add: 125 + 4 = 129", "Multiply: 129 * 2 = 258", "Subtract: 258 - 7 = 251"], "final_answer": "251", "answer_type": "integer", "kind": "expression", "math_text": "(125 + 4) * 2 - 7", "variable": null, "family": "expression_3op", "shape": "(- (* (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 125, \"b\": 4, \"c\": 2, \"d\": 7}", "seed": "10697998536436601557", "semantic_fingerprint": "sha256:160f82f19757e162470587952de245a5d0651b9a380cad3699c5d9546118b0ea", "generator_version": "3.0"}
{"id": "v3_test_id_00001452", "prompt": "Compute: 962 - (-14 + 19) / (-191 - (3 - 78))", "solution_steps": ["Add: -14 + 19 = 5", "Subtract: 3 - 78 = -75", "Subtract: -191 - (-75) = -116", "Divide: 5 / (-116) = -5/116", "Subtract: 962 - (-5/116) = 111597/116"], "final_answer": "111597/116", "answer_type": "rational", "kind": "expression", "math_text": "962 - (-14 + 19) / (-191 - (3 - 78))", "variable": null, "family": "expression_5op", "shape": "(- n (/ (+ n n) (- n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 962, \"b\": -14, \"c\": 19, \"d\": -191, \"e\": 3, \"f\": 78}", "seed": "9116775001071912445", "semantic_fingerprint": "sha256:377be92ef94aa6b9a6e53998fa925bde55538d3314bb743def7b5382a7e86a50", "generator_version": "3.0"}
{"id": "v3_test_id_00001453", "prompt": "Evaluate: 936 / (97 / ((96 - (-91)) / 68))", "solution_steps": ["Subtract: 96 - (-91) = 187", "Divide: 187 / 68 = 11/4", "Divide: 97 / (11/4) = 388/11", "Divide: 936 / (388/11) = 2574/97"], "final_answer": "2574/97", "answer_type": "rational", "kind": "expression", "math_text": "936 / (97 / ((96 - (-91)) / 68))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ n (/ (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 936, \"b\": 97, \"c\": 96, \"d\": -91, \"e\": 68}", "seed": "1260706064295801590", "semantic_fingerprint": "sha256:cc566c5e2c4ffb3e1b37944c231549bbdf2992671ab831815617043c64823f79", "generator_version": "3.0"}
{"id": "v3_test_id_00001454", "prompt": "Compute: 43 + (-29) + 30 / 7", "solution_steps": ["Add: 43 + (-29) = 14", "Divide: 30 / 7 = 30/7", "Add: 14 + 30/7 = 128/7"], "final_answer": "128/7", "answer_type": "rational", "kind": "expression", "math_text": "43 + (-29) + 30 / 7", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": -29, \"c\": 30, \"d\": 7}", "seed": "15665776178553781103", "semantic_fingerprint": "sha256:181985622e199c00387eaacfd3cca6f152667f312a25e1c36e2a54deee8be19c", "generator_version": "3.0"}
{"id": "v3_test_id_00001455", "prompt": "Evaluate: 68 + (84 - 41) - (-5 / (-7) + (-3))", "solution_steps": ["Subtract: 84 - 41 = 43", "Add: 68 + 43 = 111", "Divide: -5 / (-7) = 5/7", "Add: 5/7 + (-3) = -16/7", "Subtract: 111 - (-16/7) = 793/7"], "final_answer": "793/7", "answer_type": "rational", "kind": "expression", "math_text": "68 + (84 - 41) - (-5 / (-7) + (-3))", "variable": null, "family": "expression_5op", "shape": "(- (+ n (- n n)) (+ (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": 84, \"c\": 41, \"d\": -5, \"e\": -7, \"f\": -3}", "seed": "10030358402005284999", "semantic_fingerprint": "sha256:14beaca9238101d6ae4129f60cd57894f28e6e6ac7f2d3c9ba9de549d8493dd2", "generator_version": "3.0"}
{"id": "v3_test_id_00001456", "prompt": "Calculate: (-5 - 0) / (-820)", "solution_steps": ["Subtract: -5 - 0 = -5", "Divide: -5 / (-820) = 1/164"], "final_answer": "1/164", "answer_type": "rational", "kind": "expression", "math_text": "(-5 - 0) / (-820)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 0, \"c\": -820}", "seed": "6790538220362157976", "semantic_fingerprint": "sha256:ad982fc3b2b3f9364ab4fccd7f0bbe8bad22253a043ba822d5a8e57ed1516963", "generator_version": "3.0"}
{"id": "v3_test_id_00001457", "prompt": "Compute: 7 - 45", "solution_steps": ["Subtract: 7 - 45 = -38"], "final_answer": "-38", "answer_type": "integer", "kind": "expression", "math_text": "7 - 45", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 45}", "seed": "8891618258883495769", "semantic_fingerprint": "sha256:2d8f962a0c773d11b1d08e9bec76c3d83d00fcf8348c7e239d643d5a85bcff75", "generator_version": "3.0"}
{"id": "v3_test_id_00001458", "prompt": "Evaluate: 1 * 758 - (-6 - 412 * 12)", "solution_steps": ["Multiply: 1 * 758 = 758", "Multiply: 412 * 12 = 4944", "Subtract: -6 - 4944 = -4950", "Subtract: 758 - (-4950) = 5708"], "final_answer": "5708", "answer_type": "integer", "kind": "expression", "math_text": "1 * 758 - (-6 - 412 * 12)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 758, \"c\": -6, \"d\": 412, \"e\": 12}", "seed": "8307597674179407246", "semantic_fingerprint": "sha256:2d93c30003d14a76272022bd34c1957420bb1ea25fd498d66cd6690d7dbbc0ab", "generator_version": "3.0"}
{"id": "v3_test_id_00001459", "prompt": "Calculate: -6 - 74", "solution_steps": ["Subtract: -6 - 74 = -80"], "final_answer": "-80", "answer_type": "integer", "kind": "expression", "math_text": "-6 - 74", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 74}", "seed": "5366391382297511023", "semantic_fingerprint": "sha256:aa12e22897c3a1641e22ab03cd993667b8378e5c4ed31feba6e453d2d9d4ad2c", "generator_version": "3.0"}
{"id": "v3_test_id_00001460", "prompt": "Compute: 9 - (-64 + (-453))", "solution_steps": ["Add: -64 + (-453) = -517", "Subtract: 9 - (-517) = 526"], "final_answer": "526", "answer_type": "integer", "kind": "expression", "math_text": "9 - (-64 + (-453))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -64, \"c\": -453}", "seed": "1875355724703258727", "semantic_fingerprint": "sha256:77cc9d331ccab5a139dc66e1e455e51e619eb78ca78efc7ddd40a096ff992421", "generator_version": "3.0"}
{"id": "v3_test_id_00001461", "prompt": "Solve the equation 7(x - 37) + 426 = 3(x + 2) + 89 for x.", "solution_steps": ["Expand: 7x - 259 + 426 = 3(x + 2) + 89", "Expand: 7x - 259 + 426 = 3x + 6 + 89", "Combine constants: 7x + 167 = 3x + 6 + 89", "Combine constants: 7x + 167 = 3x + 95", "Subtract 3x from both sides: 4x + 167 = 95", "Subtract 167 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 - 37) + 426 = 3(x + 2) + 89", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 37, \"c\": 426, \"d\": 3, \"e\": 2, \"g\": 89, \"x\": -18}", "seed": "6608785129175534236", "semantic_fingerprint": "sha256:3f9e8d28aa07a7a979887fb55eff60d3cfce32561746a3e05158755ac335ae8a", "generator_version": "3.0"}
{"id": "v3_test_id_00001462", "prompt": "Compute: -67 - 8", "solution_steps": ["Subtract: -67 - 8 = -75"], "final_answer": "-75", "answer_type": "integer", "kind": "expression", "math_text": "-67 - 8", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": 8}", "seed": "8767585351156458255", "semantic_fingerprint": "sha256:c405f2deaa15d5d011f398f5bd76656770000f3e5555f593e4c34f08453d25a3", "generator_version": "3.0"}
{"id": "v3_test_id_00001463", "prompt": "What value of x satisfies 6(x + 3) + 4 = -3(x - 19) - 161?", "solution_steps": ["Expand: 6x + 18 + 4 = -3(x - 19) - 161", "Expand: 6x + 18 + 4 = -3x + 57 - 161", "Combine constants: 6x + 22 = -3x + 57 - 161", "Combine constants: 6x + 22 = -3x - 104", "Add 3x to both sides: 9x + 22 = -104", "Subtract 22 from both sides: 9x = -126", "Divide both sides by 9: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 3) + 4 = -3(x - 19) - 161", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 4, \"d\": -3, \"e\": 19, \"g\": -161, \"x\": -14}", "seed": "5108858460459982023", "semantic_fingerprint": "sha256:f78ce26f0379e9d949fa4693f05d7877ba5e7b03e79cf2cb81a0b2dcc51506ef", "generator_version": "3.0"}
{"id": "v3_test_id_00001464", "prompt": "What is -437 + 1 / (-1)?", "solution_steps": ["Divide: 1 / (-1) = -1", "Add: -437 + (-1) = -438"], "final_answer": "-438", "answer_type": "integer", "kind": "expression", "math_text": "-437 + 1 / (-1)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -437, \"b\": 1, \"c\": -1}", "seed": "17977245516250378847", "semantic_fingerprint": "sha256:706b7aa7f85b2e36cadf305cda55b57269ba0d5855467f8c66d59d1d4261e9be", "generator_version": "3.0"}
{"id": "v3_test_id_00001465", "prompt": "Solve for x: 6x = 85", "solution_steps": ["Divide both sides by 6: x = 85/6"], "final_answer": "85/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x = 85", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 85}", "seed": "15049081243010821084", "semantic_fingerprint": "sha256:affb9ed131251b793f59cf50700bb3cb5466eb5422dcb72d0bc1e62cbb8ee432", "generator_version": "3.0"}
{"id": "v3_test_id_00001466", "prompt": "Solve for x: 4(x - 1) = 6(x + 9) - 38", "solution_steps": ["Expand: 4x - 4 = 6(x + 9) - 38", "Expand: 4x - 4 = 6x + 54 - 38", "Combine constants: 4x - 4 = 6x + 16", "Subtract 6x from both sides: -2x - 4 = 16", "Add 4 to both sides: -2x = 20", "Divide both sides by -2: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 1) = 6(x + 9) - 38", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": 6, \"d\": 9, \"f\": -38, \"x\": -10}", "seed": "231553682598407825", "semantic_fingerprint": "sha256:379601b1ec6731d083641e825763f609450897e8775742ec0718cdb61e940c40", "generator_version": "3.0"}
{"id": "v3_test_id_00001467", "prompt": "Compute: -7 + 25 + (58 * (-751) + 671) + 35", "solution_steps": ["Add: -7 + 25 = 18", "Multiply: 58 * (-751) = -43558", "Add: -43558 + 671 = -42887", "Add: 18 + (-42887) = -42869", "Add: -42869 + 35 = -42834"], "final_answer": "-42834", "answer_type": "integer", "kind": "expression", "math_text": "-7 + 25 + (58 * (-751) + 671) + 35", "variable": null, "family": "expression_5op", "shape": "(+ (+ (+ n n) (+ (* n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 25, \"c\": 58, \"d\": -751, \"e\": 671, \"f\": 35}", "seed": "7028871260061672203", "semantic_fingerprint": "sha256:26efb7f0142fa0e90d6159ac362a456631ff9efdb46189ebf571050f35d088c4", "generator_version": "3.0"}
{"id": "v3_test_id_00001468", "prompt": "What is 7 * ((233 - (-83)) / (-92)) + (-96)?", "solution_steps": ["Subtract: 233 - (-83) = 316", "Divide: 316 / (-92) = -79/23", "Multiply: 7 * (-79/23) = -553/23", "Add: -553/23 + (-96) = -2761/23"], "final_answer": "-2761/23", "answer_type": "rational", "kind": "expression", "math_text": "7 * ((233 - (-83)) / (-92)) + (-96)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (/ (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 233, \"c\": -83, \"d\": -92, \"e\": -96}", "seed": "14841526172507982920", "semantic_fingerprint": "sha256:de89dc296c852d4b5312cf4a5d7d3fb69d5a685f205fc9bf9dfa0aa89c87e393", "generator_version": "3.0"}
{"id": "v3_test_id_00001469", "prompt": "Evaluate: 50 + (-67) + 0", "solution_steps": ["Add: 50 + (-67) = -17", "Add: -17 + 0 = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "expression", "math_text": "50 + (-67) + 0", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": -67, \"c\": 0}", "seed": "11110719056190486232", "semantic_fingerprint": "sha256:eb09f3f968d9b66a7424f6325ced8e5d24df6f8dffb773c1607892db562e9f86", "generator_version": "3.0"}
{"id": "v3_test_id_00001470", "prompt": "Evaluate: -4 + (50 * (-1) + 0) / (-128 - 728)", "solution_steps": ["Multiply: 50 * (-1) = -50", "Add: -50 + 0 = -50", "Subtract: -128 - 728 = -856", "Divide: -50 / (-856) = 25/428", "Add: -4 + 25/428 = -1687/428"], "final_answer": "-1687/428", "answer_type": "rational", "kind": "expression", "math_text": "-4 + (50 * (-1) + 0) / (-128 - 728)", "variable": null, "family": "expression_5op", "shape": "(+ n (/ (+ (* n n) n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 50, \"c\": -1, \"d\": 0, \"e\": -128, \"f\": 728}", "seed": "6292281468639484815", "semantic_fingerprint": "sha256:7128c5340c859c040b4855c563058bb149cee6103e21335c6e24bdb7e26b66db", "generator_version": "3.0"}
{"id": "v3_test_id_00001471", "prompt": "What value of x satisfies 7(x - 295) = -3x?", "solution_steps": ["Expand: 7x - 2065 = -3x", "Add 3x to both sides: 10x - 2065 = 0", "Add 2065 to both sides: 10x = 2065", "Divide both sides by 10: x = 413/2"], "final_answer": "413/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 295) = -3x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 295, \"c\": -3}", "seed": "1860782791490967042", "semantic_fingerprint": "sha256:2c76201b7591cb25fc861fb1071e2272787d99dea84e62e13389c54bbaf79dfd", "generator_version": "3.0"}
{"id": "v3_test_id_00001472", "prompt": "Find x: -4x + 385 = 7(x - 15) + 292", "solution_steps": ["Expand: -4x + 385 = 7x - 105 + 292", "Combine constants: -4x + 385 = 7x + 187", "Subtract 7x from both sides: -11x + 385 = 187", "Subtract 385 from both sides: -11x = -198", "Divide both sides by -11: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x + 385 = 7(x - 15) + 292", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 385, \"c\": 7, \"d\": 15, \"f\": 292, \"x\": 18}", "seed": "13776502183110849486", "semantic_fingerprint": "sha256:92ab387c5dead5fa4ce938727b1e6c5e3249ed148a19292f16ef67d442fd10cc", "generator_version": "3.0"}
{"id": "v3_test_id_00001473", "prompt": "What is -45 - (-26) * 43 - (-8) * 0?", "solution_steps": ["Multiply: -26 * 43 = -1118", "Subtract: -45 - (-1118) = 1073", "Multiply: -8 * 0 = 0", "Subtract: 1073 - 0 = 1073"], "final_answer": "1073", "answer_type": "integer", "kind": "expression", "math_text": "-45 - (-26) * 43 - (-8) * 0", "variable": null, "family": "expression_4op", "shape": "(- (- n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": -26, \"c\": 43, \"d\": -8, \"e\": 0}", "seed": "16707681720208939327", "semantic_fingerprint": "sha256:2b1cb0f021ebd78b4eccdd3cfdc51cf905ac2937acc5845489eacfdb0a0d1ded", "generator_version": "3.0"}
{"id": "v3_test_id_00001474", "prompt": "What is -47 / (777 - 27) + (-5)?", "solution_steps": ["Subtract: 777 - 27 = 750", "Divide: -47 / 750 = -47/750", "Add: -47/750 + (-5) = -3797/750"], "final_answer": "-3797/750", "answer_type": "rational", "kind": "expression", "math_text": "-47 / (777 - 27) + (-5)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": 777, \"c\": 27, \"d\": -5}", "seed": "5169659445698063091", "semantic_fingerprint": "sha256:ac7d13f2a5ccfbc433ac6a20cbed31548d7dceacc92281aa24b98b9c8c857cb3", "generator_version": "3.0"}
{"id": "v3_test_id_00001475", "prompt": "Evaluate: -2 / 95", "solution_steps": ["Divide: -2 / 95 = -2/95"], "final_answer": "-2/95", "answer_type": "rational", "kind": "expression", "math_text": "-2 / 95", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 95}", "seed": "3625721936075268818", "semantic_fingerprint": "sha256:d7de1e3b662aed699d97d3ae547de4aa18fc988da502687305ddca467ffa469f", "generator_version": "3.0"}
{"id": "v3_test_id_00001476", "prompt": "Solve for x: 3x + 6 = 11(x + 29) + 374", "solution_steps": ["Expand: 3x + 6 = 11x + 319 + 374", "Combine constants: 3x + 6 = 11x + 693", "Subtract 11x from both sides: -8x + 6 = 693", "Subtract 6 from both sides: -8x = 687", "Divide both sides by -8: x = -687/8"], "final_answer": "-687/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x + 6 = 11(x + 29) + 374", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": 11, \"d\": 29, \"e\": 374}", "seed": "2366312546420590072", "semantic_fingerprint": "sha256:5325ed5cd097bc34a96515291e604ad73cbb1c578070e934c9fec1e05e0cc6c6", "generator_version": "3.0"}
{"id": "v3_test_id_00001477", "prompt": "Compute: 586 * 33 * (-2)", "solution_steps": ["Multiply: 586 * 33 = 19338", "Multiply: 19338 * (-2) = -38676"], "final_answer": "-38676", "answer_type": "integer", "kind": "expression", "math_text": "586 * 33 * (-2)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 586, \"b\": 33, \"c\": -2}", "seed": "2925218067916059854", "semantic_fingerprint": "sha256:7728a4f66d1cde0df108e76598231479e00612bf69ceffee312aaa8f806dc24b", "generator_version": "3.0"}
{"id": "v3_test_id_00001478", "prompt": "Solve for x: -10(x - 7) = 7(x + 74) - 346", "solution_steps": ["Expand: -10x + 70 = 7(x + 74) - 346", "Expand: -10x + 70 = 7x + 518 - 346", "Combine constants: -10x + 70 = 7x + 172", "Subtract 7x from both sides: -17x + 70 = 172", "Subtract 70 from both sides: -17x = 102", "Divide both sides by -17: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 7) = 7(x + 74) - 346", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 7, \"c\": 7, \"d\": 74, \"f\": -346, \"x\": -6}", "seed": "7691745929437320776", "semantic_fingerprint": "sha256:60d0217aed918effade1d4f03f537b6bb0dab02daaf6b9daeb8dfd02960e7389", "generator_version": "3.0"}
{"id": "v3_test_id_00001479", "prompt": "What value of x satisfies x - 31 = 11(x + 29)?", "solution_steps": ["Expand: x - 31 = 11x + 319", "Subtract 11x from both sides: -10x - 31 = 319", "Add 31 to both sides: -10x = 350", "Divide both sides by -10: x = -35"], "final_answer": "-35", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 31 = 11(x + 29)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 11, \"c\": 29}", "seed": "15688701780017438924", "semantic_fingerprint": "sha256:26af1581ac18575511674679d3cc14d4f46b36241eba43ae348fc4a14eaa968b", "generator_version": "3.0"}
{"id": "v3_test_id_00001480", "prompt": "Solve the equation 6x = 1 for x.", "solution_steps": ["Divide both sides by 6: x = 1/6"], "final_answer": "1/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x = 1", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 1}", "seed": "7153282667114676017", "semantic_fingerprint": "sha256:2dd7323dfcb739ff6571e50258395f33e412bda95457271e877dd6696ed6e42d", "generator_version": "3.0"}
{"id": "v3_test_id_00001481", "prompt": "Compute: (649 - (-50)) * 85 - 7", "solution_steps": ["Subtract: 649 - (-50) = 699", "Multiply: 699 * 85 = 59415", "Subtract: 59415 - 7 = 59408"], "final_answer": "59408", "answer_type": "integer", "kind": "expression", "math_text": "(649 - (-50)) * 85 - 7", "variable": null, "family": "expression_3op", "shape": "(- (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 649, \"b\": -50, \"c\": 85, \"d\": 7}", "seed": "14054513293608756615", "semantic_fingerprint": "sha256:77ca64eee2ca700380f949e3c7ee60c6aa0af37b0dc8b06b8cdab60b9afe0dba", "generator_version": "3.0"}
{"id": "v3_test_id_00001482", "prompt": "Solve the equation -11x = -132 for x.", "solution_steps": ["Divide both sides by -11: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x = -132", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -11, \"c\": -132, \"x\": 12}", "seed": "10692725534046201280", "semantic_fingerprint": "sha256:a272d1e444403f9fde0b0fca5ad18d10b68ab867b078b8d111a3d450d6f47a5b", "generator_version": "3.0"}
{"id": "v3_test_id_00001483", "prompt": "Compute: 1 * (-83 - (-34))", "solution_steps": ["Subtract: -83 - (-34) = -49", "Multiply: 1 * (-49) = -49"], "final_answer": "-49", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-83 - (-34))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -83, \"c\": -34}", "seed": "14607369350718763307", "semantic_fingerprint": "sha256:5b699211a1362b99cb10c1b3003271a81d739abab810d420df56b3133d7d530c", "generator_version": "3.0"}
{"id": "v3_test_id_00001484", "prompt": "Evaluate: 39 / 59", "solution_steps": ["Divide: 39 / 59 = 39/59"], "final_answer": "39/59", "answer_type": "rational", "kind": "expression", "math_text": "39 / 59", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 59}", "seed": "16389955447306256964", "semantic_fingerprint": "sha256:56700a087e197e7ce8c4ceee1703e710dbebb7d64d3b9e85fa528558217f9353", "generator_version": "3.0"}
{"id": "v3_test_id_00001485", "prompt": "Calculate: -84 * 9", "solution_steps": ["Multiply: -84 * 9 = -756"], "final_answer": "-756", "answer_type": "integer", "kind": "expression", "math_text": "-84 * 9", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": 9}", "seed": "11494283580313058996", "semantic_fingerprint": "sha256:11ea037aef3daa5e75a9fecf6a9e6b2a313d78d4b883a6c9e0e0bd4bf243da28", "generator_version": "3.0"}
{"id": "v3_test_id_00001486", "prompt": "What value of x satisfies 10(x + 44) - 6 = 254?", "solution_steps": ["Expand: 10x + 440 - 6 = 254", "Combine constants: 10x + 434 = 254", "Subtract 434 from both sides: 10x = -180", "Divide both sides by 10: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 44) - 6 = 254", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 44, \"c\": 6, \"e\": 254, \"x\": -18}", "seed": "384215846955643281", "semantic_fingerprint": "sha256:d10601bd5daa9d2e531da5ab4435f3003cda41e9ed9d01d041f66753b5bbc356", "generator_version": "3.0"}
{"id": "v3_test_id_00001487", "prompt": "Solve for x: 10(x - 76) = 6(x - 408) - 369", "solution_steps": ["Expand: 10x - 760 = 6(x - 408) - 369", "Expand: 10x - 760 = 6x - 2448 - 369", "Combine constants: 10x - 760 = 6x - 2817", "Subtract 6x from both sides: 4x - 760 = -2817", "Add 760 to both sides: 4x = -2057", "Divide both sides by 4: x = -2057/4"], "final_answer": "-2057/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 76) = 6(x - 408) - 369", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 76, \"c\": 6, \"d\": 408, \"e\": 369}", "seed": "6039317240321167405", "semantic_fingerprint": "sha256:6e99ae838bf59dc6342de234ce00cf962c56e4b4bd11045240da21b7ee58eff3", "generator_version": "3.0"}
{"id": "v3_test_id_00001488", "prompt": "What value of x satisfies 5(x - 73) = 12(x + 2) - 375?", "solution_steps": ["Expand: 5x - 365 = 12(x + 2) - 375", "Expand: 5x - 365 = 12x + 24 - 375", "Combine constants: 5x - 365 = 12x - 351", "Subtract 12x from both sides: -7x - 365 = -351", "Add 365 to both sides: -7x = 14", "Divide both sides by -7: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 73) = 12(x + 2) - 375", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 73, \"c\": 12, \"d\": 2, \"f\": -375, \"x\": -2}", "seed": "11603646524769974508", "semantic_fingerprint": "sha256:2f7691568cb71211392ec09571d8ba5a24c947b0f023c4db0d4775cfc1f9d3b6", "generator_version": "3.0"}
{"id": "v3_test_id_00001489", "prompt": "What is 5 * (-4) + 64?", "solution_steps": ["Multiply: 5 * (-4) = -20", "Add: -20 + 64 = 44"], "final_answer": "44", "answer_type": "integer", "kind": "expression", "math_text": "5 * (-4) + 64", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -4, \"c\": 64}", "seed": "4915887287389328538", "semantic_fingerprint": "sha256:18c7fb9e20254a121d83b17c797e32b031f06251a72a06782524f51342d13af8", "generator_version": "3.0"}
{"id": "v3_test_id_00001490", "prompt": "What is (-25 + 1) * (-144)?", "solution_steps": ["Add: -25 + 1 = -24", "Multiply: -24 * (-144) = 3456"], "final_answer": "3456", "answer_type": "integer", "kind": "expression", "math_text": "(-25 + 1) * (-144)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": 1, \"c\": -144}", "seed": "6886146798994465630", "semantic_fingerprint": "sha256:8b07c75194075a2ac003fcc28385fb9043af27c640641353dd5271b274652ef3", "generator_version": "3.0"}
{"id": "v3_test_id_00001491", "prompt": "Compute: (324 - 88) * ((-8 - 5) / 692)", "solution_steps": ["Subtract: 324 - 88 = 236", "Subtract: -8 - 5 = -13", "Divide: -13 / 692 = -13/692", "Multiply: 236 * (-13/692) = -767/173"], "final_answer": "-767/173", "answer_type": "rational", "kind": "expression", "math_text": "(324 - 88) * ((-8 - 5) / 692)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 324, \"b\": 88, \"c\": -8, \"d\": 5, \"e\": 692}", "seed": "2605618725516379945", "semantic_fingerprint": "sha256:d32a810b3d4b76eea3e1259956ebc33f13f1377bb576621a7d878c303379c203", "generator_version": "3.0"}
{"id": "v3_test_id_00001492", "prompt": "What value of x satisfies x - 29 = -6x + 111?", "solution_steps": ["Add 6x to both sides: 7x - 29 = 111", "Add 29 to both sides: 7x = 140", "Divide both sides by 7: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 29 = -6x + 111", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": -6, \"d\": 111, \"x\": 20}", "seed": "14517807006619725899", "semantic_fingerprint": "sha256:3e6f55a99ddb7b08556ae4be992ff00220d854e39401c700e2beef17b8f7f5ac", "generator_version": "3.0"}
{"id": "v3_test_id_00001493", "prompt": "What is 797 + (-345)?", "solution_steps": ["Add: 797 + (-345) = 452"], "final_answer": "452", "answer_type": "integer", "kind": "expression", "math_text": "797 + (-345)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 797, \"b\": -345}", "seed": "5710954937043125957", "semantic_fingerprint": "sha256:7113a5b6e8bccddd09a868e58420c8d7c1e2ebf6b23a8fcb7ccf5ef67d0f1375", "generator_version": "3.0"}
{"id": "v3_test_id_00001494", "prompt": "Evaluate: 8 / (-14)", "solution_steps": ["Divide: 8 / (-14) = -4/7"], "final_answer": "-4/7", "answer_type": "rational", "kind": "expression", "math_text": "8 / (-14)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -14}", "seed": "16375948379656570133", "semantic_fingerprint": "sha256:5abdcb768538cc9eb5d6c2fdd3f32a8d284400d90e42d0286fd63066c5afeb04", "generator_version": "3.0"}
{"id": "v3_test_id_00001495", "prompt": "Compute: -73 - (-3) - (-746) * 350", "solution_steps": ["Subtract: -73 - (-3) = -70", "Multiply: -746 * 350 = -261100", "Subtract: -70 - (-261100) = 261030"], "final_answer": "261030", "answer_type": "integer", "kind": "expression", "math_text": "-73 - (-3) - (-746) * 350", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": -3, \"c\": -746, \"d\": 350}", "seed": "15705345983270457528", "semantic_fingerprint": "sha256:010eb1c53f076c3b305115e9a89b1db754a2e90993b5c28515d73a0d3e1ad0f3", "generator_version": "3.0"}
{"id": "v3_test_id_00001496", "prompt": "What is -433 / (-23) * (-3) + 75 * 427?", "solution_steps": ["Divide: -433 / (-23) = 433/23", "Multiply: (433/23) * (-3) = -1299/23", "Multiply: 75 * 427 = 32025", "Add: -1299/23 + 32025 = 735276/23"], "final_answer": "735276/23", "answer_type": "rational", "kind": "expression", "math_text": "-433 / (-23) * (-3) + 75 * 427", "variable": null, "family": "expression_4op", "shape": "(+ (* (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -433, \"b\": -23, \"c\": -3, \"d\": 75, \"e\": 427}", "seed": "6347009792888245752", "semantic_fingerprint": "sha256:3930748559bb5df74d2ef71ecdbadefaa6d09856e3519ca10f17551146dbaf72", "generator_version": "3.0"}
{"id": "v3_test_id_00001497", "prompt": "Find x: -8(x - 3) + 39 = x", "solution_steps": ["Expand: -8x + 24 + 39 = x", "Combine constants: -8x + 63 = x", "Subtract x from both sides: -9x + 63 = 0", "Subtract 63 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 - 3) + 39 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 3, \"d\": 39, \"x\": 7}", "seed": "2690771063682179660", "semantic_fingerprint": "sha256:86295b63e9383aeff280ab905572c608248fb5964eff06090d68089783de632c", "generator_version": "3.0"}
{"id": "v3_test_id_00001498", "prompt": "Find x: -7(x + 73) + 270 = -2(x + 78)", "solution_steps": ["Expand: -7x - 511 + 270 = -2(x + 78)", "Expand: -7x - 511 + 270 = -2x - 156", "Combine constants: -7x - 241 = -2x - 156", "Add 2x to both sides: -5x - 241 = -156", "Add 241 to both sides: -5x = 85", "Divide both sides by -5: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 73) + 270 = -2(x + 78)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 73, \"c\": -2, \"d\": 78, \"f\": 270, \"x\": -17}", "seed": "12073869211803174807", "semantic_fingerprint": "sha256:73dc6c17c206106458d81f19bc6a0039b13c1f0075440c61f0b4aa12dafd9b0a", "generator_version": "3.0"}
{"id": "v3_test_id_00001499", "prompt": "Evaluate: (-4 - 8) / (-714 + 7)", "solution_steps": ["Subtract: -4 - 8 = -12", "Add: -714 + 7 = -707", "Divide: -12 / (-707) = 12/707"], "final_answer": "12/707", "answer_type": "rational", "kind": "expression", "math_text": "(-4 - 8) / (-714 + 7)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 8, \"c\": -714, \"d\": 7}", "seed": "11278962513733359028", "semantic_fingerprint": "sha256:52cc53f15b4eee57d38842da88836799139262c34baf2506e1d46f3bd1bca65f", "generator_version": "3.0"}
{"id": "v3_test_id_00001500", "prompt": "What is 22 / (-8 - (-715))?", "solution_steps": ["Subtract: -8 - (-715) = 707", "Divide: 22 / 707 = 22/707"], "final_answer": "22/707", "answer_type": "rational", "kind": "expression", "math_text": "22 / (-8 - (-715))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": -8, \"c\": -715}", "seed": "5600464219847864799", "semantic_fingerprint": "sha256:d4f399006ffb28d56dec116278f8801d91625e6ebc9953571ad439ac162e4204", "generator_version": "3.0"}
{"id": "v3_test_id_00001501", "prompt": "Calculate: 681 + (-869) + (8 + 697) * 2", "solution_steps": ["Add: 681 + (-869) = -188", "Add: 8 + 697 = 705", "Multiply: 705 * 2 = 1410", "Add: -188 + 1410 = 1222"], "final_answer": "1222", "answer_type": "integer", "kind": "expression", "math_text": "681 + (-869) + (8 + 697) * 2", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 681, \"b\": -869, \"c\": 8, \"d\": 697, \"e\": 2}", "seed": "10003611656140679588", "semantic_fingerprint": "sha256:ba80f255ebc01686db6fd0431ea97ba5b2907cd9272d96b37170693fabee3341", "generator_version": "3.0"}
{"id": "v3_test_id_00001502", "prompt": "Calculate: -248 + (-28) / (-98)", "solution_steps": ["Divide: -28 / (-98) = 2/7", "Add: -248 + 2/7 = -1734/7"], "final_answer": "-1734/7", "answer_type": "rational", "kind": "expression", "math_text": "-248 + (-28) / (-98)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -248, \"b\": -28, \"c\": -98}", "seed": "17435179749006861693", "semantic_fingerprint": "sha256:bbcbc94cd7690575c814fb824433e470258d88c74ab47d0708eb8ce992c67e17", "generator_version": "3.0"}
{"id": "v3_test_id_00001503", "prompt": "What is 78 + (-8) / (-196)?", "solution_steps": ["Divide: -8 / (-196) = 2/49", "Add: 78 + 2/49 = 3824/49"], "final_answer": "3824/49", "answer_type": "rational", "kind": "expression", "math_text": "78 + (-8) / (-196)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": -8, \"c\": -196}", "seed": "2243724486837982865", "semantic_fingerprint": "sha256:a6a050c2d81746b8c15cd987725a3a2bc343382d36d1d0497cf704914f4a8f3a", "generator_version": "3.0"}
{"id": "v3_test_id_00001504", "prompt": "Solve for x: 6x - 85 = x - 25", "solution_steps": ["Subtract x from both sides: 5x - 85 = -25", "Add 85 to both sides: 5x = 60", "Divide both sides by 5: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 85 = x - 25", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 85, \"d\": -25, \"x\": 12}", "seed": "8753082411464878967", "semantic_fingerprint": "sha256:e9f14f9367368a8c288541b61fdc58a500b85968ba492d238fdd587ab087c0a6", "generator_version": "3.0"}
{"id": "v3_test_id_00001505", "prompt": "Calculate: -36 * (0 * 439 - 6)", "solution_steps": ["Multiply: 0 * 439 = 0", "Subtract: 0 - 6 = -6", "Multiply: -36 * (-6) = 216"], "final_answer": "216", "answer_type": "integer", "kind": "expression", "math_text": "-36 * (0 * 439 - 6)", "variable": null, "family": "expression_3op", "shape": "(* n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": 0, \"c\": 439, \"d\": 6}", "seed": "2615759894583613723", "semantic_fingerprint": "sha256:83234709081960af377fe683e58fd1f90dd30983fc0065826f4947d2c0852ac1", "generator_version": "3.0"}
{"id": "v3_test_id_00001506", "prompt": "Find x: 3(x + 3) = 12(x - 26) - 6", "solution_steps": ["Expand: 3x + 9 = 12(x - 26) - 6", "Expand: 3x + 9 = 12x - 312 - 6", "Combine constants: 3x + 9 = 12x - 318", "Subtract 12x from both sides: -9x + 9 = -318", "Subtract 9 from both sides: -9x = -327", "Divide both sides by -9: x = 109/3"], "final_answer": "109/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 3) = 12(x - 26) - 6", "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\": 12, \"d\": 26, \"e\": 6}", "seed": "7559140284391263939", "semantic_fingerprint": "sha256:51f161f81e0fd2ba7f3534bee422657d449533326a99d577e7d4cc66ba901e5c", "generator_version": "3.0"}
{"id": "v3_test_id_00001507", "prompt": "What value of x satisfies 3x - 73 = 5(x + 88) - 493?", "solution_steps": ["Expand: 3x - 73 = 5x + 440 - 493", "Combine constants: 3x - 73 = 5x - 53", "Subtract 5x from both sides: -2x - 73 = -53", "Add 73 to both sides: -2x = 20", "Divide both sides by -2: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 73 = 5(x + 88) - 493", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 73, \"c\": 5, \"d\": 88, \"f\": -493, \"x\": -10}", "seed": "16255418771917185036", "semantic_fingerprint": "sha256:d6b425017c0458fa4fcd23c0809f2a96524047c488831f8115f14d12544d6a22", "generator_version": "3.0"}
{"id": "v3_test_id_00001508", "prompt": "What is -32 - 60 / (-6 - (-273))?", "solution_steps": ["Subtract: -6 - (-273) = 267", "Divide: 60 / 267 = 20/89", "Subtract: -32 - 20/89 = -2868/89"], "final_answer": "-2868/89", "answer_type": "rational", "kind": "expression", "math_text": "-32 - 60 / (-6 - (-273))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": 60, \"c\": -6, \"d\": -273}", "seed": "2236482073866034932", "semantic_fingerprint": "sha256:f2b9a92ffb07bb30f5e999d0e1be48823d133df500d59f8dd0d6528ed001ec61", "generator_version": "3.0"}
{"id": "v3_test_id_00001509", "prompt": "Evaluate: 11 - (-43) + 0", "solution_steps": ["Subtract: 11 - (-43) = 54", "Add: 54 + 0 = 54"], "final_answer": "54", "answer_type": "integer", "kind": "expression", "math_text": "11 - (-43) + 0", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -43, \"c\": 0}", "seed": "4462785696000595117", "semantic_fingerprint": "sha256:7aaff46379104b11525b905ffe5849b92325af6bf73acfa9998c647b17f152d5", "generator_version": "3.0"}
{"id": "v3_test_id_00001510", "prompt": "Calculate: (-51 - 1) * (-362 + (-32)) * 6", "solution_steps": ["Subtract: -51 - 1 = -52", "Add: -362 + (-32) = -394", "Multiply: -52 * (-394) = 20488", "Multiply: 20488 * 6 = 122928"], "final_answer": "122928", "answer_type": "integer", "kind": "expression", "math_text": "(-51 - 1) * (-362 + (-32)) * 6", "variable": null, "family": "expression_4op", "shape": "(* (* (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": 1, \"c\": -362, \"d\": -32, \"e\": 6}", "seed": "6670197927386320927", "semantic_fingerprint": "sha256:d77735f50056230e2e4c6fb0ee4c93acc6c7cc8fccf181dc9713e19ce835a4b9", "generator_version": "3.0"}
{"id": "v3_test_id_00001511", "prompt": "Find x: 9(x - 44) = x - 436", "solution_steps": ["Expand: 9x - 396 = x - 436", "Subtract x from both sides: 8x - 396 = -436", "Add 396 to both sides: 8x = -40", "Divide both sides by 8: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 44) = x - 436", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 44, \"d\": -436, \"x\": -5}", "seed": "6279120229915678836", "semantic_fingerprint": "sha256:0799965db5eed88e15b8e979500230ac302407f273d7fd9cd57a188f98d3b637", "generator_version": "3.0"}
{"id": "v3_test_id_00001512", "prompt": "Compute: 256 + (-433) + (-55) / 2", "solution_steps": ["Add: 256 + (-433) = -177", "Divide: -55 / 2 = -55/2", "Add: -177 + (-55/2) = -409/2"], "final_answer": "-409/2", "answer_type": "rational", "kind": "expression", "math_text": "256 + (-433) + (-55) / 2", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 256, \"b\": -433, \"c\": -55, \"d\": 2}", "seed": "1058817843622643290", "semantic_fingerprint": "sha256:95def2220d684b24bc8f368d77856baaeb567d1875d36223368b43529fbe5f7d", "generator_version": "3.0"}
{"id": "v3_test_id_00001513", "prompt": "Compute: 5 / (-84 + 62 - 962 + 2)", "solution_steps": ["Add: -84 + 62 = -22", "Subtract: -22 - 962 = -984", "Add: -984 + 2 = -982", "Divide: 5 / (-982) = -5/982"], "final_answer": "-5/982", "answer_type": "rational", "kind": "expression", "math_text": "5 / (-84 + 62 - 962 + 2)", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (- (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -84, \"c\": 62, \"d\": 962, \"e\": 2}", "seed": "9104338597788554793", "semantic_fingerprint": "sha256:797f73f34b714b508e54bef8b6ee0fd76c22799724aa06e096f33eb05e2dcbd1", "generator_version": "3.0"}
{"id": "v3_test_id_00001514", "prompt": "Compute: -88 * (-54 * (-8))", "solution_steps": ["Multiply: -54 * (-8) = 432", "Multiply: -88 * 432 = -38016"], "final_answer": "-38016", "answer_type": "integer", "kind": "expression", "math_text": "-88 * (-54 * (-8))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": -54, \"c\": -8}", "seed": "17842759753140815197", "semantic_fingerprint": "sha256:356d70a3556da4f4c3dbecbcc10f58106044742add1456da46e5eca54a231f79", "generator_version": "3.0"}
{"id": "v3_test_id_00001515", "prompt": "Solve the equation -8(x - 73) = 8(x - 9) for x.", "solution_steps": ["Expand: -8x + 584 = 8(x - 9)", "Expand: -8x + 584 = 8x - 72", "Subtract 8x from both sides: -16x + 584 = -72", "Subtract 584 from both sides: -16x = -656", "Divide both sides by -16: x = 41"], "final_answer": "41", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 73) = 8(x - 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 73, \"c\": 8, \"d\": 9}", "seed": "10849417694279762347", "semantic_fingerprint": "sha256:0114f543ad760cd066a2f3f134440c9229db62bc42d2ff157d1e3548deda4871", "generator_version": "3.0"}
{"id": "v3_test_id_00001516", "prompt": "Solve the equation 7(x + 5) + 53 = 5(x - 59) + 65 for x.", "solution_steps": ["Expand: 7x + 35 + 53 = 5(x - 59) + 65", "Expand: 7x + 35 + 53 = 5x - 295 + 65", "Combine constants: 7x + 88 = 5x - 295 + 65", "Combine constants: 7x + 88 = 5x - 230", "Subtract 5x from both sides: 2x + 88 = -230", "Subtract 88 from both sides: 2x = -318", "Divide both sides by 2: x = -159"], "final_answer": "-159", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 5) + 53 = 5(x - 59) + 65", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 53, \"d\": 5, \"e\": 59, \"f\": 65}", "seed": "4973202573595299577", "semantic_fingerprint": "sha256:6458ea94855978af419a7a8f7e3f0c1fdb6c42b0427be4eceed775d45efd5848", "generator_version": "3.0"}
{"id": "v3_test_id_00001517", "prompt": "Solve for x: 12(x + 44) + 5 = -3x + 713", "solution_steps": ["Expand: 12x + 528 + 5 = -3x + 713", "Combine constants: 12x + 533 = -3x + 713", "Add 3x to both sides: 15x + 533 = 713", "Subtract 533 from both sides: 15x = 180", "Divide both sides by 15: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 44) + 5 = -3x + 713", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 44, \"c\": 5, \"d\": -3, \"f\": 713, \"x\": 12}", "seed": "7732667393560269953", "semantic_fingerprint": "sha256:0e55dc9cdc456f41c56bf4cfc8df728aa6660d9d39ae037e2b926517b062e8ea", "generator_version": "3.0"}
{"id": "v3_test_id_00001518", "prompt": "Evaluate: 48 + 135", "solution_steps": ["Add: 48 + 135 = 183"], "final_answer": "183", "answer_type": "integer", "kind": "expression", "math_text": "48 + 135", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": 135}", "seed": "2738512603419715227", "semantic_fingerprint": "sha256:854a283f4afe9189e54525271aea7c733a8a1aaa76c13954aa5879cb23eeb9a8", "generator_version": "3.0"}
{"id": "v3_test_id_00001519", "prompt": "Evaluate: (2 + 2) * (-1) / 27 + (9 + (-162))", "solution_steps": ["Add: 2 + 2 = 4", "Multiply: 4 * (-1) = -4", "Divide: -4 / 27 = -4/27", "Add: 9 + (-162) = -153", "Add: -4/27 + (-153) = -4135/27"], "final_answer": "-4135/27", "answer_type": "rational", "kind": "expression", "math_text": "(2 + 2) * (-1) / 27 + (9 + (-162))", "variable": null, "family": "expression_5op", "shape": "(+ (/ (* (+ n n) n) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": -1, \"d\": 27, \"e\": 9, \"f\": -162}", "seed": "8248160836421941895", "semantic_fingerprint": "sha256:5d84a544c6f5476f60af3a98bc7cbb966ec898dd06cc502ebadd8948b183ba49", "generator_version": "3.0"}
{"id": "v3_test_id_00001520", "prompt": "What is 124 / (-23) - 241 + (-32)?", "solution_steps": ["Divide: 124 / (-23) = -124/23", "Subtract: -124/23 - 241 = -5667/23", "Add: -5667/23 + (-32) = -6403/23"], "final_answer": "-6403/23", "answer_type": "rational", "kind": "expression", "math_text": "124 / (-23) - 241 + (-32)", "variable": null, "family": "expression_3op", "shape": "(+ (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 124, \"b\": -23, \"c\": 241, \"d\": -32}", "seed": "9905230087232907761", "semantic_fingerprint": "sha256:5c75ceaf2f1a397b3d99f1d58a4a6f7fb48929592713794e6251f68c0455948c", "generator_version": "3.0"}
{"id": "v3_test_id_00001521", "prompt": "Solve the equation 12(x - 31) - 30 = -402 for x.", "solution_steps": ["Expand: 12x - 372 - 30 = -402", "Combine constants: 12x - 402 = -402", "Add 402 to both sides: 12x = 0", "Divide both sides by 12: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 31) - 30 = -402", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 31, \"c\": 30, \"e\": -402, \"x\": 0}", "seed": "14539390569767080895", "semantic_fingerprint": "sha256:e1766e72398f6f095c93339a23807fe441bc9c06a7a60587c6b667396cc288a9", "generator_version": "3.0"}
{"id": "v3_test_id_00001522", "prompt": "Evaluate: (-84 - (-22)) / (44 + (-7))", "solution_steps": ["Subtract: -84 - (-22) = -62", "Add: 44 + (-7) = 37", "Divide: -62 / 37 = -62/37"], "final_answer": "-62/37", "answer_type": "rational", "kind": "expression", "math_text": "(-84 - (-22)) / (44 + (-7))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": -22, \"c\": 44, \"d\": -7}", "seed": "13000185904794419442", "semantic_fingerprint": "sha256:0563e9824f02b041cc624a10d93b9c7a25ba5691151739bc9c7b6ae293b59d8d", "generator_version": "3.0"}
{"id": "v3_test_id_00001523", "prompt": "What value of x satisfies x = 9(x - 8)?", "solution_steps": ["Expand: x = 9x - 72", "Subtract 9x from both sides: -8x = -72", "Divide both sides by -8: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 9(x - 8)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8}", "seed": "10389480829510723606", "semantic_fingerprint": "sha256:8564890c022dbb9b669b23c4787d23fa09c5fabcde8f7068611684e543833291", "generator_version": "3.0"}
{"id": "v3_test_id_00001524", "prompt": "Find x: 4(x - 34) - 1 = 5x - 139", "solution_steps": ["Expand: 4x - 136 - 1 = 5x - 139", "Combine constants: 4x - 137 = 5x - 139", "Subtract 5x from both sides: -x - 137 = -139", "Add 137 to both sides: -x = -2", "Divide both sides by -1: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 34) - 1 = 5x - 139", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 34, \"c\": 1, \"d\": 5, \"f\": -139, \"x\": 2}", "seed": "14139015632243862513", "semantic_fingerprint": "sha256:9b90b0e76995e29cb44730a15f6f41da8b87405effd3b56f69a167af02729a6a", "generator_version": "3.0"}
{"id": "v3_test_id_00001525", "prompt": "What is 803 + 5?", "solution_steps": ["Add: 803 + 5 = 808"], "final_answer": "808", "answer_type": "integer", "kind": "expression", "math_text": "803 + 5", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 803, \"b\": 5}", "seed": "4210763323824672495", "semantic_fingerprint": "sha256:d7d0c00b91419e4f6ffe42c644264c2f2a32a856073799879fc6c2aaad5716fa", "generator_version": "3.0"}
{"id": "v3_test_id_00001526", "prompt": "Evaluate: 91 / (14 / (71 + 15)) * (-67 + 4)", "solution_steps": ["Add: 71 + 15 = 86", "Divide: 14 / 86 = 7/43", "Divide: 91 / (7/43) = 559", "Add: -67 + 4 = -63", "Multiply: 559 * (-63) = -35217"], "final_answer": "-35217", "answer_type": "integer", "kind": "expression", "math_text": "91 / (14 / (71 + 15)) * (-67 + 4)", "variable": null, "family": "expression_5op", "shape": "(* (/ n (/ n (+ n n))) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": 14, \"c\": 71, \"d\": 15, \"e\": -67, \"f\": 4}", "seed": "14819143587703875451", "semantic_fingerprint": "sha256:ddd5e11f0da4e7ff12efa796bbc1ad9beb29ba48f7c7a7f9013df7bd7832cbb2", "generator_version": "3.0"}
{"id": "v3_test_id_00001527", "prompt": "Compute: -42 * (-12 / (-4))", "solution_steps": ["Divide: -12 / (-4) = 3", "Multiply: -42 * 3 = -126"], "final_answer": "-126", "answer_type": "integer", "kind": "expression", "math_text": "-42 * (-12 / (-4))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": -12, \"c\": -4}", "seed": "5430742317357448810", "semantic_fingerprint": "sha256:def19025ddb5eb337948d10452cbf5dc01eba96e4bc01b389448604c859f7817", "generator_version": "3.0"}
{"id": "v3_test_id_00001528", "prompt": "What is -182 / (-222)?", "solution_steps": ["Divide: -182 / (-222) = 91/111"], "final_answer": "91/111", "answer_type": "rational", "kind": "expression", "math_text": "-182 / (-222)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -182, \"b\": -222}", "seed": "15857382071866287350", "semantic_fingerprint": "sha256:86ed95e94d3b8837ead4b0b6014e3ab778677a63388f2ea83096bf678815d9a8", "generator_version": "3.0"}
{"id": "v3_test_id_00001529", "prompt": "What is 91 / (34 / (-48) / (-5))?", "solution_steps": ["Divide: 34 / (-48) = -17/24", "Divide: (-17/24) / (-5) = 17/120", "Divide: 91 / (17/120) = 10920/17"], "final_answer": "10920/17", "answer_type": "rational", "kind": "expression", "math_text": "91 / (34 / (-48) / (-5))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": 34, \"c\": -48, \"d\": -5}", "seed": "6462553376459633265", "semantic_fingerprint": "sha256:aa580505c1adb572162b5c550dd576c670db5ca9c29dc2fba8a07c24d57b5b74", "generator_version": "3.0"}
{"id": "v3_test_id_00001530", "prompt": "What value of x satisfies 4(x + 92) + 6 = 5(x - 73) + 725?", "solution_steps": ["Expand: 4x + 368 + 6 = 5(x - 73) + 725", "Expand: 4x + 368 + 6 = 5x - 365 + 725", "Combine constants: 4x + 374 = 5x - 365 + 725", "Combine constants: 4x + 374 = 5x + 360", "Subtract 5x from both sides: -x + 374 = 360", "Subtract 374 from both sides: -x = -14", "Divide both sides by -1: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 92) + 6 = 5(x - 73) + 725", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 92, \"c\": 6, \"d\": 5, \"e\": 73, \"g\": 725, \"x\": 14}", "seed": "13814773104737990428", "semantic_fingerprint": "sha256:b67cff7cbca9e3e11894700f3435588f4808a124c9445746e69e502219fdb795", "generator_version": "3.0"}
{"id": "v3_test_id_00001531", "prompt": "What is (9 - (-50) + 33) / (74 * (-8 * (-33)))?", "solution_steps": ["Subtract: 9 - (-50) = 59", "Add: 59 + 33 = 92", "Multiply: -8 * (-33) = 264", "Multiply: 74 * 264 = 19536", "Divide: 92 / 19536 = 23/4884"], "final_answer": "23/4884", "answer_type": "rational", "kind": "expression", "math_text": "(9 - (-50) + 33) / (74 * (-8 * (-33)))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- n n) n) (* n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -50, \"c\": 33, \"d\": 74, \"e\": -8, \"f\": -33}", "seed": "6201256182106497273", "semantic_fingerprint": "sha256:b3fec726a259680f1b5f40135aa7aebf29f75a219954663960232a04cf6e6608", "generator_version": "3.0"}
{"id": "v3_test_id_00001532", "prompt": "Evaluate: -5 - (423 + (-88) * 0)", "solution_steps": ["Multiply: -88 * 0 = 0", "Add: 423 + 0 = 423", "Subtract: -5 - 423 = -428"], "final_answer": "-428", "answer_type": "integer", "kind": "expression", "math_text": "-5 - (423 + (-88) * 0)", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 423, \"c\": -88, \"d\": 0}", "seed": "12758146449986346143", "semantic_fingerprint": "sha256:a0f5b6a77a32bc6a4e0a2f443ad726dfd1c5c5b116d7a91566973dcc865503d3", "generator_version": "3.0"}
{"id": "v3_test_id_00001533", "prompt": "Evaluate: 0 - (-937) + (-78)", "solution_steps": ["Subtract: 0 - (-937) = 937", "Add: 937 + (-78) = 859"], "final_answer": "859", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-937) + (-78)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -937, \"c\": -78}", "seed": "15104596507355246627", "semantic_fingerprint": "sha256:23dbed84e0e6c51a4dd2e16ec67a500dddc7feede94839aef272a87653f750be", "generator_version": "3.0"}
{"id": "v3_test_id_00001534", "prompt": "Find x: 6x - 6 = 5(x + 39) - 194", "solution_steps": ["Expand: 6x - 6 = 5x + 195 - 194", "Combine constants: 6x - 6 = 5x + 1", "Subtract 5x from both sides: x - 6 = 1", "Add 6 to both sides: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 6 = 5(x + 39) - 194", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"c\": 5, \"d\": 39, \"f\": -194, \"x\": 7}", "seed": "4392558744065911980", "semantic_fingerprint": "sha256:88042cc99407f903e7e98a54446dc66b4602ff44faae00825d519711058a9b38", "generator_version": "3.0"}
{"id": "v3_test_id_00001535", "prompt": "What is -8 + 96?", "solution_steps": ["Add: -8 + 96 = 88"], "final_answer": "88", "answer_type": "integer", "kind": "expression", "math_text": "-8 + 96", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 96}", "seed": "12976704872841684617", "semantic_fingerprint": "sha256:817d60fa21b797856bdc468b5485d2cdebce40cb13e60ae75460a79119511ca8", "generator_version": "3.0"}
{"id": "v3_test_id_00001536", "prompt": "What is 4 * (-39 / (56 / (-105) * 26 - 5))?", "solution_steps": ["Divide: 56 / (-105) = -8/15", "Multiply: (-8/15) * 26 = -208/15", "Subtract: -208/15 - 5 = -283/15", "Divide: -39 / (-283/15) = 585/283", "Multiply: 4 * (585/283) = 2340/283"], "final_answer": "2340/283", "answer_type": "rational", "kind": "expression", "math_text": "4 * (-39 / (56 / (-105) * 26 - 5))", "variable": null, "family": "expression_5op", "shape": "(* n (/ n (- (* (/ n n) n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -39, \"c\": 56, \"d\": -105, \"e\": 26, \"f\": 5}", "seed": "385747971061057786", "semantic_fingerprint": "sha256:426b4b308d13dc1623b3fa05c39f7a0a730c847aac672a556ed1890b7dacd585", "generator_version": "3.0"}
{"id": "v3_test_id_00001537", "prompt": "What is 2 / 596?", "solution_steps": ["Divide: 2 / 596 = 1/298"], "final_answer": "1/298", "answer_type": "rational", "kind": "expression", "math_text": "2 / 596", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 596}", "seed": "14392567663822719357", "semantic_fingerprint": "sha256:e4fee20592dd508bbba156470533e9a1ad105008c7ddf181b65fd247e472e594", "generator_version": "3.0"}
{"id": "v3_test_id_00001538", "prompt": "Solve for x: 4x - 1 = 12(x - 53) + 707", "solution_steps": ["Expand: 4x - 1 = 12x - 636 + 707", "Combine constants: 4x - 1 = 12x + 71", "Subtract 12x from both sides: -8x - 1 = 71", "Add 1 to both sides: -8x = 72", "Divide both sides by -8: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 1 = 12(x - 53) + 707", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": 12, \"d\": 53, \"f\": 707, \"x\": -9}", "seed": "11746487037007765485", "semantic_fingerprint": "sha256:e22cc22ba668111495cc77e9a3a851fff2579e6437e800323851ff5db873ddf1", "generator_version": "3.0"}
{"id": "v3_test_id_00001539", "prompt": "What value of x satisfies 11(x + 8) = 2(x + 9) + 223?", "solution_steps": ["Expand: 11x + 88 = 2(x + 9) + 223", "Expand: 11x + 88 = 2x + 18 + 223", "Combine constants: 11x + 88 = 2x + 241", "Subtract 2x from both sides: 9x + 88 = 241", "Subtract 88 from both sides: 9x = 153", "Divide both sides by 9: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 8) = 2(x + 9) + 223", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 8, \"c\": 2, \"d\": 9, \"f\": 223, \"x\": 17}", "seed": "8258315615377616868", "semantic_fingerprint": "sha256:b794ef1e295f1a6403f93a08f5c9b924482a4d4c31b368c8a77cebad4fa663ae", "generator_version": "3.0"}
{"id": "v3_test_id_00001540", "prompt": "Evaluate: -342 + 0 * (-6)", "solution_steps": ["Multiply: 0 * (-6) = 0", "Add: -342 + 0 = -342"], "final_answer": "-342", "answer_type": "integer", "kind": "expression", "math_text": "-342 + 0 * (-6)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -342, \"b\": 0, \"c\": -6}", "seed": "12313913928580605658", "semantic_fingerprint": "sha256:129a7cadf127952c75ea5ea809c2a6a83fc942ce53857bb72b9657402080e418", "generator_version": "3.0"}
{"id": "v3_test_id_00001541", "prompt": "Find x: -10x = 6x", "solution_steps": ["Subtract 6x from both sides: -16x = 0", "Divide both sides by -16: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x = 6x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 6}", "seed": "3151585966559304864", "semantic_fingerprint": "sha256:a459aef98475324964becbe52f69ca7a19fc4da5178eb09acf0b28047b703526", "generator_version": "3.0"}
{"id": "v3_test_id_00001542", "prompt": "Compute: 31 - (-953) + 65 / (-4)", "solution_steps": ["Subtract: 31 - (-953) = 984", "Divide: 65 / (-4) = -65/4", "Add: 984 + (-65/4) = 3871/4"], "final_answer": "3871/4", "answer_type": "rational", "kind": "expression", "math_text": "31 - (-953) + 65 / (-4)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": -953, \"c\": 65, \"d\": -4}", "seed": "14294480325522544206", "semantic_fingerprint": "sha256:222d474f562b12fc8df0074fe9896cbfeecf8e5b357103acbf1e6fee6d086a7e", "generator_version": "3.0"}
{"id": "v3_test_id_00001543", "prompt": "Solve the equation x = -10x - 848 for x.", "solution_steps": ["Add 10x to both sides: 11x = -848", "Divide both sides by 11: x = -848/11"], "final_answer": "-848/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -10x - 848", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 848}", "seed": "15391704555093522297", "semantic_fingerprint": "sha256:6e7b9e68a24e4f61cab4265ad3f1f1c17c2676877034f584c1484d557d3e9f34", "generator_version": "3.0"}
{"id": "v3_test_id_00001544", "prompt": "Find x: x - 114 = 10x + 62", "solution_steps": ["Subtract 10x from both sides: -9x - 114 = 62", "Add 114 to both sides: -9x = 176", "Divide both sides by -9: x = -176/9"], "final_answer": "-176/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 114 = 10x + 62", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 114, \"b\": 10, \"c\": 62}", "seed": "8965512575073915963", "semantic_fingerprint": "sha256:8e76413bcaf5bffd6519cd2567910b53f59da32333c034aacfefc60b0de56223", "generator_version": "3.0"}
{"id": "v3_test_id_00001545", "prompt": "Calculate: 1 - 92 - (-352)", "solution_steps": ["Subtract: 1 - 92 = -91", "Subtract: -91 - (-352) = 261"], "final_answer": "261", "answer_type": "integer", "kind": "expression", "math_text": "1 - 92 - (-352)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 92, \"c\": -352}", "seed": "9473593917666619651", "semantic_fingerprint": "sha256:10f22c105a0a26e6c88937faaf7cc27201c30e321339e9506f44bc84fefdb849", "generator_version": "3.0"}
{"id": "v3_test_id_00001546", "prompt": "Compute: -10 * 47", "solution_steps": ["Multiply: -10 * 47 = -470"], "final_answer": "-470", "answer_type": "integer", "kind": "expression", "math_text": "-10 * 47", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 47}", "seed": "13906695421774984970", "semantic_fingerprint": "sha256:7d3044676d1c972d456cd3f44ce0dd05174b0698947d8a97a4e27eb02d9b1b88", "generator_version": "3.0"}
{"id": "v3_test_id_00001547", "prompt": "Compute: 69 / (-15 / 218 * (-977))", "solution_steps": ["Divide: -15 / 218 = -15/218", "Multiply: (-15/218) * (-977) = 14655/218", "Divide: 69 / (14655/218) = 5014/4885"], "final_answer": "5014/4885", "answer_type": "rational", "kind": "expression", "math_text": "69 / (-15 / 218 * (-977))", "variable": null, "family": "expression_3op", "shape": "(/ n (* (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": -15, \"c\": 218, \"d\": -977}", "seed": "10649308137991487085", "semantic_fingerprint": "sha256:7b8fa61aaab39e92503a9fb419c596fba7d17f7bf3cb9fc3aea6442e05eb01a2", "generator_version": "3.0"}
{"id": "v3_test_id_00001548", "prompt": "Calculate: 49 + (-9 - (-50))", "solution_steps": ["Subtract: -9 - (-50) = 41", "Add: 49 + 41 = 90"], "final_answer": "90", "answer_type": "integer", "kind": "expression", "math_text": "49 + (-9 - (-50))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": -9, \"c\": -50}", "seed": "17251026312867370788", "semantic_fingerprint": "sha256:ebccd56aa21cace06ea4dedd5c4c2a62d1838c9cd82aedbee4c8341cc10f794d", "generator_version": "3.0"}
{"id": "v3_test_id_00001549", "prompt": "Calculate: 48 - 70", "solution_steps": ["Subtract: 48 - 70 = -22"], "final_answer": "-22", "answer_type": "integer", "kind": "expression", "math_text": "48 - 70", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": 70}", "seed": "15017267090441719851", "semantic_fingerprint": "sha256:0ba19fac9d35e9ad7b77f94b9c73c368ed543e8f7c997bb492f21bc5003d9d5e", "generator_version": "3.0"}
{"id": "v3_test_id_00001550", "prompt": "What is 70 / (-69) / (54 - (-457))?", "solution_steps": ["Divide: 70 / (-69) = -70/69", "Subtract: 54 - (-457) = 511", "Divide: (-70/69) / 511 = -10/5037"], "final_answer": "-10/5037", "answer_type": "rational", "kind": "expression", "math_text": "70 / (-69) / (54 - (-457))", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": -69, \"c\": 54, \"d\": -457}", "seed": "2016921120454938007", "semantic_fingerprint": "sha256:f821fc89a44e25098d1375d21ce45d8613c640a3c2a159f5e561fcfc61e38d72", "generator_version": "3.0"}
{"id": "v3_test_id_00001551", "prompt": "What value of x satisfies -2(x - 3) + 5 = 8(x - 34) + 473?", "solution_steps": ["Expand: -2x + 6 + 5 = 8(x - 34) + 473", "Expand: -2x + 6 + 5 = 8x - 272 + 473", "Combine constants: -2x + 11 = 8x - 272 + 473", "Combine constants: -2x + 11 = 8x + 201", "Subtract 8x from both sides: -10x + 11 = 201", "Subtract 11 from both sides: -10x = 190", "Divide both sides by -10: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 3) + 5 = 8(x - 34) + 473", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 3, \"c\": 5, \"d\": 8, \"e\": 34, \"g\": 473, \"x\": -19}", "seed": "7293758256979424527", "semantic_fingerprint": "sha256:44e0ee6602445b161091866400d87c44cb4424fcd37450c8e2fae9811a8f3a48", "generator_version": "3.0"}
{"id": "v3_test_id_00001552", "prompt": "What is (-9 + (-39)) / 7?", "solution_steps": ["Add: -9 + (-39) = -48", "Divide: -48 / 7 = -48/7"], "final_answer": "-48/7", "answer_type": "rational", "kind": "expression", "math_text": "(-9 + (-39)) / 7", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -39, \"c\": 7}", "seed": "15315463642874749708", "semantic_fingerprint": "sha256:e366179386f733ee9e62a5720a53cd06f3204b17320d494c1cb53fd11339ea23", "generator_version": "3.0"}
{"id": "v3_test_id_00001553", "prompt": "Calculate: 77 * 8", "solution_steps": ["Multiply: 77 * 8 = 616"], "final_answer": "616", "answer_type": "integer", "kind": "expression", "math_text": "77 * 8", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": 8}", "seed": "6923829881202942759", "semantic_fingerprint": "sha256:2165b409911eec370d281033fd7f3d862d61f25ce1017b738b5bf0b5ec98c9ba", "generator_version": "3.0"}
{"id": "v3_test_id_00001554", "prompt": "Evaluate: -11 * (-21 / (756 - (-75)))", "solution_steps": ["Subtract: 756 - (-75) = 831", "Divide: -21 / 831 = -7/277", "Multiply: -11 * (-7/277) = 77/277"], "final_answer": "77/277", "answer_type": "rational", "kind": "expression", "math_text": "-11 * (-21 / (756 - (-75)))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": -21, \"c\": 756, \"d\": -75}", "seed": "15632427852256245238", "semantic_fingerprint": "sha256:333e530423fcfb103c0b4ebbfd0b5027d37cbf601f8b7781556cf6ba7aa378ea", "generator_version": "3.0"}
{"id": "v3_test_id_00001555", "prompt": "What is 59 - (-61)?", "solution_steps": ["Subtract: 59 - (-61) = 120"], "final_answer": "120", "answer_type": "integer", "kind": "expression", "math_text": "59 - (-61)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": -61}", "seed": "17362732860062157731", "semantic_fingerprint": "sha256:8a6565fd40d87d51d64858aed1375ff712ac40e2baee39ddf5cf423f97ec3e48", "generator_version": "3.0"}
{"id": "v3_test_id_00001556", "prompt": "Evaluate: -8 * 6 * 6", "solution_steps": ["Multiply: -8 * 6 = -48", "Multiply: -48 * 6 = -288"], "final_answer": "-288", "answer_type": "integer", "kind": "expression", "math_text": "-8 * 6 * 6", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 6, \"c\": 6}", "seed": "18271302890140144239", "semantic_fingerprint": "sha256:b1c505f53cf3462c5e52f2f11293015d4bcd6247ceaf2ceaccc28943c565fa3f", "generator_version": "3.0"}
{"id": "v3_test_id_00001557", "prompt": "Compute: 42 * (0 - (-38))", "solution_steps": ["Subtract: 0 - (-38) = 38", "Multiply: 42 * 38 = 1596"], "final_answer": "1596", "answer_type": "integer", "kind": "expression", "math_text": "42 * (0 - (-38))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": 0, \"c\": -38}", "seed": "16996889405393193963", "semantic_fingerprint": "sha256:799f0ae026102368a2c673eb156a33202de8e2a284bf6766fa9f81a06432a841", "generator_version": "3.0"}
{"id": "v3_test_id_00001558", "prompt": "What is -71 + 71?", "solution_steps": ["Add: -71 + 71 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-71 + 71", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": 71}", "seed": "10718744044294834698", "semantic_fingerprint": "sha256:6d0674a5d1a9d2c8bf036ec12e229ab62a9854d4d695ba0565ee507c9c91e426", "generator_version": "3.0"}
{"id": "v3_test_id_00001559", "prompt": "Find x: -5x = -6x + 37", "solution_steps": ["Add 6x to both sides: x = 37"], "final_answer": "37", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x = -6x + 37", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -6, \"c\": 37}", "seed": "5543196441919926655", "semantic_fingerprint": "sha256:94b47e306dd2a58bae867b13e0d5424b01379e7d7b273571c035174392320148", "generator_version": "3.0"}
{"id": "v3_test_id_00001560", "prompt": "What value of x satisfies 12(x - 72) + 886 = 10x?", "solution_steps": ["Expand: 12x - 864 + 886 = 10x", "Combine constants: 12x + 22 = 10x", "Subtract 10x from both sides: 2x + 22 = 0", "Subtract 22 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 - 72) + 886 = 10x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 72, \"c\": 10, \"e\": 886, \"x\": -11}", "seed": "7774607812256106990", "semantic_fingerprint": "sha256:cf38d739915eaef3ab71cbeaa0bd245e56dc0df4ce5a940a89ef73ce2e56333f", "generator_version": "3.0"}
{"id": "v3_test_id_00001561", "prompt": "Evaluate: 25 - 67 * 33 * (-10)", "solution_steps": ["Multiply: 67 * 33 = 2211", "Multiply: 2211 * (-10) = -22110", "Subtract: 25 - (-22110) = 22135"], "final_answer": "22135", "answer_type": "integer", "kind": "expression", "math_text": "25 - 67 * 33 * (-10)", "variable": null, "family": "expression_3op", "shape": "(- n (* (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": 67, \"c\": 33, \"d\": -10}", "seed": "6375593666675706658", "semantic_fingerprint": "sha256:c04598da2297df100d8befc6f9f601ab175e2860bf78a923aa3c79c995eea1f2", "generator_version": "3.0"}
{"id": "v3_test_id_00001562", "prompt": "What value of x satisfies -11(x + 6) + 352 = 11x?", "solution_steps": ["Expand: -11x - 66 + 352 = 11x", "Combine constants: -11x + 286 = 11x", "Subtract 11x from both sides: -22x + 286 = 0", "Subtract 286 from both sides: -22x = -286", "Divide both sides by -22: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 6) + 352 = 11x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 6, \"c\": 11, \"e\": 352, \"x\": 13}", "seed": "2573885597654705784", "semantic_fingerprint": "sha256:d713071a5cd10003f21d8e361d085eedbda60c1c227b341e34ecc4a873841d28", "generator_version": "3.0"}
{"id": "v3_test_id_00001563", "prompt": "What is 53 / 9 * 17?", "solution_steps": ["Divide: 53 / 9 = 53/9", "Multiply: (53/9) * 17 = 901/9"], "final_answer": "901/9", "answer_type": "rational", "kind": "expression", "math_text": "53 / 9 * 17", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": 9, \"c\": 17}", "seed": "17435860105421016395", "semantic_fingerprint": "sha256:2e100b6edc1d384ff6f55ed0ecfd1b70ca692fd84b99c16cb84ee52cb51a6b59", "generator_version": "3.0"}
{"id": "v3_test_id_00001564", "prompt": "Evaluate: 17 * (-378 - (45 * 0 - 79))", "solution_steps": ["Multiply: 45 * 0 = 0", "Subtract: 0 - 79 = -79", "Subtract: -378 - (-79) = -299", "Multiply: 17 * (-299) = -5083"], "final_answer": "-5083", "answer_type": "integer", "kind": "expression", "math_text": "17 * (-378 - (45 * 0 - 79))", "variable": null, "family": "expression_4op", "shape": "(* n (- n (- (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": -378, \"c\": 45, \"d\": 0, \"e\": 79}", "seed": "15048195439032628100", "semantic_fingerprint": "sha256:e658bb3cb06430eb4e2cfeabf2819142414f27fbd6cd9b6b1ec97c89e2d0809c", "generator_version": "3.0"}
{"id": "v3_test_id_00001565", "prompt": "Find x: 3(x - 842) - 9 = -743", "solution_steps": ["Expand: 3x - 2526 - 9 = -743", "Combine constants: 3x - 2535 = -743", "Add 2535 to both sides: 3x = 1792", "Divide both sides by 3: x = 1792/3"], "final_answer": "1792/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 842) - 9 = -743", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 842, \"c\": 9, \"d\": -743}", "seed": "2966996628467749786", "semantic_fingerprint": "sha256:11326f219d23319d99338ef37dfe613142bd53e834e54a63c9d58d6699dbb498", "generator_version": "3.0"}
{"id": "v3_test_id_00001566", "prompt": "Find x: -7(x - 6) + 87 = 99", "solution_steps": ["Expand: -7x + 42 + 87 = 99", "Combine constants: -7x + 129 = 99", "Subtract 129 from both sides: -7x = -30", "Divide both sides by -7: x = 30/7"], "final_answer": "30/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x - 6) + 87 = 99", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 6, \"c\": 87, \"d\": 99}", "seed": "17394769822332043561", "semantic_fingerprint": "sha256:9fc06fb3cbabea8ca52769164fa2d9fc8789731c50c16801671dd4e4c2545aa0", "generator_version": "3.0"}
{"id": "v3_test_id_00001567", "prompt": "Evaluate: -95 * (-68)", "solution_steps": ["Multiply: -95 * (-68) = 6460"], "final_answer": "6460", "answer_type": "integer", "kind": "expression", "math_text": "-95 * (-68)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": -68}", "seed": "17028458186866098519", "semantic_fingerprint": "sha256:dc87eb679a42b6fad9f20b4d1153369d894abdd511bb11b71c290decd47f090a", "generator_version": "3.0"}
{"id": "v3_test_id_00001568", "prompt": "Calculate: 31 + (876 + 9)", "solution_steps": ["Add: 876 + 9 = 885", "Add: 31 + 885 = 916"], "final_answer": "916", "answer_type": "integer", "kind": "expression", "math_text": "31 + (876 + 9)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 876, \"c\": 9}", "seed": "3764046426957617245", "semantic_fingerprint": "sha256:8ffdb0eb8780027b8c54cd1068a83fb78e5689e7a428789daf21ed20dfd856d3", "generator_version": "3.0"}
{"id": "v3_test_id_00001569", "prompt": "What is (-40 + 92) * 8 * (211 - (-1))?", "solution_steps": ["Add: -40 + 92 = 52", "Multiply: 52 * 8 = 416", "Subtract: 211 - (-1) = 212", "Multiply: 416 * 212 = 88192"], "final_answer": "88192", "answer_type": "integer", "kind": "expression", "math_text": "(-40 + 92) * 8 * (211 - (-1))", "variable": null, "family": "expression_4op", "shape": "(* (* (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": 92, \"c\": 8, \"d\": 211, \"e\": -1}", "seed": "6547787057291207946", "semantic_fingerprint": "sha256:7be66d8ef7c37406a61e661fdb6637877bd9c4085ecab6e212b8b7f7de0da3b6", "generator_version": "3.0"}
{"id": "v3_test_id_00001570", "prompt": "Compute: 63 + 40", "solution_steps": ["Add: 63 + 40 = 103"], "final_answer": "103", "answer_type": "integer", "kind": "expression", "math_text": "63 + 40", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": 40}", "seed": "12510074162517148380", "semantic_fingerprint": "sha256:81c155e15890d3741c318ffae82460d33cb7be9e9fce77bcb5181e7a6655d2ec", "generator_version": "3.0"}
{"id": "v3_test_id_00001571", "prompt": "Evaluate: -106 * (-659 / (8 * (-8) - (-5)))", "solution_steps": ["Multiply: 8 * (-8) = -64", "Subtract: -64 - (-5) = -59", "Divide: -659 / (-59) = 659/59", "Multiply: -106 * (659/59) = -69854/59"], "final_answer": "-69854/59", "answer_type": "rational", "kind": "expression", "math_text": "-106 * (-659 / (8 * (-8) - (-5)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ n (- (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -106, \"b\": -659, \"c\": 8, \"d\": -8, \"e\": -5}", "seed": "15432147378875047908", "semantic_fingerprint": "sha256:5a74feb5b5c69d4708b5e462af11f99c4dcd9e339756b906b1c93620c0f76d12", "generator_version": "3.0"}
{"id": "v3_test_id_00001572", "prompt": "What is 0 - (-34) - (-53)?", "solution_steps": ["Subtract: 0 - (-34) = 34", "Subtract: 34 - (-53) = 87"], "final_answer": "87", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-34) - (-53)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -34, \"c\": -53}", "seed": "9815593039237008945", "semantic_fingerprint": "sha256:5744905367f467f3f39b7cd6b4137eab2ce9532cfef888769ea8666b6422c939", "generator_version": "3.0"}
{"id": "v3_test_id_00001573", "prompt": "What is 94 + (16 + (59 - 539))?", "solution_steps": ["Subtract: 59 - 539 = -480", "Add: 16 + (-480) = -464", "Add: 94 + (-464) = -370"], "final_answer": "-370", "answer_type": "integer", "kind": "expression", "math_text": "94 + (16 + (59 - 539))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": 16, \"c\": 59, \"d\": 539}", "seed": "2157784098670744449", "semantic_fingerprint": "sha256:0ecf856772a79d48d4526e951e8b2dfa0feec990584a725de6b3b3238f996a4c", "generator_version": "3.0"}
{"id": "v3_test_id_00001574", "prompt": "Solve the equation x = 4(x + 97) for x.", "solution_steps": ["Expand: x = 4x + 388", "Subtract 4x from both sides: -3x = 388", "Divide both sides by -3: x = -388/3"], "final_answer": "-388/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 4(x + 97)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 97}", "seed": "12194324583552669055", "semantic_fingerprint": "sha256:e704badb2241226d76e45fbe398be7cfcc6e8c753cc65f51c79aa173cafb922a", "generator_version": "3.0"}
{"id": "v3_test_id_00001575", "prompt": "Solve the equation 7x - 28 = 3x for x.", "solution_steps": ["Subtract 3x from both sides: 4x - 28 = 0", "Add 28 to both sides: 4x = 28", "Divide both sides by 4: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 28 = 3x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 28, \"c\": 3}", "seed": "3769566142813533503", "semantic_fingerprint": "sha256:37ec113b4c5f64b950dcd90422caa29a652c60d6986769d0327d8d7ec47d7110", "generator_version": "3.0"}
{"id": "v3_test_id_00001576", "prompt": "What is -2 + 0 - (-977 - (-23)) - 1?", "solution_steps": ["Add: -2 + 0 = -2", "Subtract: -977 - (-23) = -954", "Subtract: -2 - (-954) = 952", "Subtract: 952 - 1 = 951"], "final_answer": "951", "answer_type": "integer", "kind": "expression", "math_text": "-2 + 0 - (-977 - (-23)) - 1", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 0, \"c\": -977, \"d\": -23, \"e\": 1}", "seed": "10166005443418075997", "semantic_fingerprint": "sha256:d0eabb8e90cf17d682466ea04e4d7c9ab43cd6381349ab3c5e56b2ad9f1ae61a", "generator_version": "3.0"}
{"id": "v3_test_id_00001577", "prompt": "Compute: -3 / (-44 * 104) * 96", "solution_steps": ["Multiply: -44 * 104 = -4576", "Divide: -3 / (-4576) = 3/4576", "Multiply: (3/4576) * 96 = 9/143"], "final_answer": "9/143", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-44 * 104) * 96", "variable": null, "family": "expression_3op", "shape": "(* (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -44, \"c\": 104, \"d\": 96}", "seed": "3695014768524340651", "semantic_fingerprint": "sha256:578208d27d0c6d822cc0227747cfc2141dfe81033e3479cc3af2e5722a9682c8", "generator_version": "3.0"}
{"id": "v3_test_id_00001578", "prompt": "Compute: (66 - (-87)) * (-7 * (670 + (2 + (-2))))", "solution_steps": ["Subtract: 66 - (-87) = 153", "Add: 2 + (-2) = 0", "Add: 670 + 0 = 670", "Multiply: -7 * 670 = -4690", "Multiply: 153 * (-4690) = -717570"], "final_answer": "-717570", "answer_type": "integer", "kind": "expression", "math_text": "(66 - (-87)) * (-7 * (670 + (2 + (-2))))", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (* n (+ n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -87, \"c\": -7, \"d\": 670, \"e\": 2, \"f\": -2}", "seed": "10809336360597518367", "semantic_fingerprint": "sha256:85947d2af9b8c116071a2683b104dd7d27bbfe1c4fceb9905f8b7aa834abd7fa", "generator_version": "3.0"}
{"id": "v3_test_id_00001579", "prompt": "What value of x satisfies x - 594 = 9(x - 7) - 555?", "solution_steps": ["Expand: x - 594 = 9x - 63 - 555", "Combine constants: x - 594 = 9x - 618", "Subtract 9x from both sides: -8x - 594 = -618", "Add 594 to both sides: -8x = -24", "Divide both sides by -8: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 594 = 9(x - 7) - 555", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 594, \"b\": 9, \"c\": 7, \"e\": -555, \"x\": 3}", "seed": "13459861174857361143", "semantic_fingerprint": "sha256:9ffafc81fc7197c8b8eda42a910dd381d7b0c78dfce3229369c0f5ea10aa88dd", "generator_version": "3.0"}
{"id": "v3_test_id_00001580", "prompt": "Compute: -75 + (-1 - 945)", "solution_steps": ["Subtract: -1 - 945 = -946", "Add: -75 + (-946) = -1021"], "final_answer": "-1021", "answer_type": "integer", "kind": "expression", "math_text": "-75 + (-1 - 945)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": -1, \"c\": 945}", "seed": "6286013186567413560", "semantic_fingerprint": "sha256:6efc3ae677fba89dd581cf3ed8d20f1ce07923392424d74bc0c5644efbe14d39", "generator_version": "3.0"}
{"id": "v3_test_id_00001581", "prompt": "Calculate: 45 + (-39 - (-69) / 9 / (-9 * 7))", "solution_steps": ["Divide: -69 / 9 = -23/3", "Multiply: -9 * 7 = -63", "Divide: (-23/3) / (-63) = 23/189", "Subtract: -39 - 23/189 = -7394/189", "Add: 45 + (-7394/189) = 1111/189"], "final_answer": "1111/189", "answer_type": "rational", "kind": "expression", "math_text": "45 + (-39 - (-69) / 9 / (-9 * 7))", "variable": null, "family": "expression_5op", "shape": "(+ n (- n (/ (/ n n) (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": -39, \"c\": -69, \"d\": 9, \"e\": -9, \"f\": 7}", "seed": "7931618017861017685", "semantic_fingerprint": "sha256:faf7ad00b299de3763c4e472a0c06dbbda0a96982d6202752cadb72bc9045f8a", "generator_version": "3.0"}
{"id": "v3_test_id_00001582", "prompt": "Calculate: -48 + 0", "solution_steps": ["Add: -48 + 0 = -48"], "final_answer": "-48", "answer_type": "integer", "kind": "expression", "math_text": "-48 + 0", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": 0}", "seed": "5194673571867773722", "semantic_fingerprint": "sha256:48882c9acf8b0c57fab5d3a54c63e46bf013eb01125f0d93febe349c73bb8d0a", "generator_version": "3.0"}
{"id": "v3_test_id_00001583", "prompt": "What is (3 + (-867)) * (-124)?", "solution_steps": ["Add: 3 + (-867) = -864", "Multiply: -864 * (-124) = 107136"], "final_answer": "107136", "answer_type": "integer", "kind": "expression", "math_text": "(3 + (-867)) * (-124)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -867, \"c\": -124}", "seed": "1536116313195155954", "semantic_fingerprint": "sha256:cd069688387a51a9ae7bfdc787e01c9d6e4f72d561ffbe78452e32714fe3d391", "generator_version": "3.0"}
{"id": "v3_test_id_00001584", "prompt": "Compute: -3 - (-784)", "solution_steps": ["Subtract: -3 - (-784) = 781"], "final_answer": "781", "answer_type": "integer", "kind": "expression", "math_text": "-3 - (-784)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -784}", "seed": "4368567482919250135", "semantic_fingerprint": "sha256:859fbdce3d41b548d7649b315930fe129fdf5c8eb270f4bf414f3c987a5807ef", "generator_version": "3.0"}
{"id": "v3_test_id_00001585", "prompt": "Evaluate: 2 * 334", "solution_steps": ["Multiply: 2 * 334 = 668"], "final_answer": "668", "answer_type": "integer", "kind": "expression", "math_text": "2 * 334", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 334}", "seed": "11504601529452576290", "semantic_fingerprint": "sha256:3b2a1209c1418d4b2cfa51a136e0c145985611e164d2340cf8bb21a37476ea42", "generator_version": "3.0"}
{"id": "v3_test_id_00001586", "prompt": "What is 49 * (-6) * 24?", "solution_steps": ["Multiply: 49 * (-6) = -294", "Multiply: -294 * 24 = -7056"], "final_answer": "-7056", "answer_type": "integer", "kind": "expression", "math_text": "49 * (-6) * 24", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": -6, \"c\": 24}", "seed": "4104771053108844499", "semantic_fingerprint": "sha256:58805d078a7807b2452358ac62dc22ef3be0e1bf51c17fe89022f6125d0ec231", "generator_version": "3.0"}
{"id": "v3_test_id_00001587", "prompt": "What is -6 - 6?", "solution_steps": ["Subtract: -6 - 6 = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "expression", "math_text": "-6 - 6", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 6}", "seed": "9041970031763599540", "semantic_fingerprint": "sha256:074d22c0cea383a67dfcc6aaccc0ab9acb573d2698064b1062de3fd97f25390e", "generator_version": "3.0"}
{"id": "v3_test_id_00001588", "prompt": "Calculate: -95 * 41 - 75", "solution_steps": ["Multiply: -95 * 41 = -3895", "Subtract: -3895 - 75 = -3970"], "final_answer": "-3970", "answer_type": "integer", "kind": "expression", "math_text": "-95 * 41 - 75", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": 41, \"c\": 75}", "seed": "3501778625704659003", "semantic_fingerprint": "sha256:6960b1917c28b70382c6703942811eadcb22148bd98d1604b1cf3289105eaad0", "generator_version": "3.0"}
{"id": "v3_test_id_00001589", "prompt": "Find x: -6(x + 451) = 5x", "solution_steps": ["Expand: -6x - 2706 = 5x", "Subtract 5x from both sides: -11x - 2706 = 0", "Add 2706 to both sides: -11x = 2706", "Divide both sides by -11: x = -246"], "final_answer": "-246", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 451) = 5x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 451, \"c\": 5}", "seed": "13446081088803139837", "semantic_fingerprint": "sha256:5194a78621a10a17dcc67eaa0c67193fc0d7f6410ac2b3cd082e975acc115567", "generator_version": "3.0"}
{"id": "v3_test_id_00001590", "prompt": "What value of x satisfies -12(x + 36) + 14 = 10(x - 518) - 430?", "solution_steps": ["Expand: -12x - 432 + 14 = 10(x - 518) - 430", "Expand: -12x - 432 + 14 = 10x - 5180 - 430", "Combine constants: -12x - 418 = 10x - 5180 - 430", "Combine constants: -12x - 418 = 10x - 5610", "Subtract 10x from both sides: -22x - 418 = -5610", "Add 418 to both sides: -22x = -5192", "Divide both sides by -22: x = 236"], "final_answer": "236", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 36) + 14 = 10(x - 518) - 430", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 36, \"c\": 14, \"d\": 10, \"e\": 518, \"f\": 430}", "seed": "9445513603049524805", "semantic_fingerprint": "sha256:5ecf6072ccf589f89e626178f8c834464e1ca414c5d005778ba3e1d2599dff20", "generator_version": "3.0"}
{"id": "v3_test_id_00001591", "prompt": "Evaluate: 986 / (4 - 0)", "solution_steps": ["Subtract: 4 - 0 = 4", "Divide: 986 / 4 = 493/2"], "final_answer": "493/2", "answer_type": "rational", "kind": "expression", "math_text": "986 / (4 - 0)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 986, \"b\": 4, \"c\": 0}", "seed": "14724951453589297405", "semantic_fingerprint": "sha256:f526c116c734e949df7cf9056ce6c305439b008dbce9d4b4b3e0456e1e4a0d1f", "generator_version": "3.0"}
{"id": "v3_test_id_00001592", "prompt": "Evaluate: -9 * 442 / (-241 / 27)", "solution_steps": ["Multiply: -9 * 442 = -3978", "Divide: -241 / 27 = -241/27", "Divide: -3978 / (-241/27) = 107406/241"], "final_answer": "107406/241", "answer_type": "rational", "kind": "expression", "math_text": "-9 * 442 / (-241 / 27)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 442, \"c\": -241, \"d\": 27}", "seed": "17162843532758459511", "semantic_fingerprint": "sha256:d2eaca334b9400f2399513698f7e793a6db9a97f750e7bce6f2c205ff14e3368", "generator_version": "3.0"}
{"id": "v3_test_id_00001593", "prompt": "Find x: 12x = -12x + 84", "solution_steps": ["Add 12x to both sides: 24x = 84", "Divide both sides by 24: x = 7/2"], "final_answer": "7/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x = -12x + 84", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -12, \"c\": 84}", "seed": "9023233643902003099", "semantic_fingerprint": "sha256:2cdedbf5f229f2647349a5afb639d6a6049b6c0c077f3a9b95a5672e371b2fc1", "generator_version": "3.0"}
{"id": "v3_test_id_00001594", "prompt": "Compute: -94 - (-9) * (91 * (-24))", "solution_steps": ["Multiply: 91 * (-24) = -2184", "Multiply: -9 * (-2184) = 19656", "Subtract: -94 - 19656 = -19750"], "final_answer": "-19750", "answer_type": "integer", "kind": "expression", "math_text": "-94 - (-9) * (91 * (-24))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": -9, \"c\": 91, \"d\": -24}", "seed": "8575303155773631720", "semantic_fingerprint": "sha256:c734b31c2012832ef4ae55d7051099e722236da2fda49df7864cc2afaca16760", "generator_version": "3.0"}
{"id": "v3_test_id_00001595", "prompt": "What value of x satisfies 7x - 785 = 8(x + 6) - 816?", "solution_steps": ["Expand: 7x - 785 = 8x + 48 - 816", "Combine constants: 7x - 785 = 8x - 768", "Subtract 8x from both sides: -x - 785 = -768", "Add 785 to both sides: -x = 17", "Divide both sides by -1: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 785 = 8(x + 6) - 816", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 785, \"c\": 8, \"d\": 6, \"f\": -816, \"x\": -17}", "seed": "17522147201175527997", "semantic_fingerprint": "sha256:335d44f0dc2dd97d53f9b9cf2dd81babc4653b7d62384246050114d83556ad33", "generator_version": "3.0"}
{"id": "v3_test_id_00001596", "prompt": "Compute: 81 * 904", "solution_steps": ["Multiply: 81 * 904 = 73224"], "final_answer": "73224", "answer_type": "integer", "kind": "expression", "math_text": "81 * 904", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": 904}", "seed": "14959560375422803405", "semantic_fingerprint": "sha256:8a7f2a99e35f56b81108edf5fcd239db1008664076d60ec0b772daafb33a5fd9", "generator_version": "3.0"}
{"id": "v3_test_id_00001597", "prompt": "Calculate: 87 + (-84)", "solution_steps": ["Add: 87 + (-84) = 3"], "final_answer": "3", "answer_type": "integer", "kind": "expression", "math_text": "87 + (-84)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 87, \"b\": -84}", "seed": "11500007552626745217", "semantic_fingerprint": "sha256:705adc85902faca30405cb93f0e7cd7737394be1bb3844802249d93e538d45de", "generator_version": "3.0"}
{"id": "v3_test_id_00001598", "prompt": "Calculate: (161 + (-6)) * 68 + (619 - 72)", "solution_steps": ["Add: 161 + (-6) = 155", "Multiply: 155 * 68 = 10540", "Subtract: 619 - 72 = 547", "Add: 10540 + 547 = 11087"], "final_answer": "11087", "answer_type": "integer", "kind": "expression", "math_text": "(161 + (-6)) * 68 + (619 - 72)", "variable": null, "family": "expression_4op", "shape": "(+ (* (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 161, \"b\": -6, \"c\": 68, \"d\": 619, \"e\": 72}", "seed": "17700673107215759789", "semantic_fingerprint": "sha256:e3e02d3f7289cf95af51f671cf177d5be8b115f42b436f6f685b22d43a653f47", "generator_version": "3.0"}
{"id": "v3_test_id_00001599", "prompt": "Evaluate: 3 / 32 - (889 + 71)", "solution_steps": ["Divide: 3 / 32 = 3/32", "Add: 889 + 71 = 960", "Subtract: 3/32 - 960 = -30717/32"], "final_answer": "-30717/32", "answer_type": "rational", "kind": "expression", "math_text": "3 / 32 - (889 + 71)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 32, \"c\": 889, \"d\": 71}", "seed": "17176381371236880552", "semantic_fingerprint": "sha256:4e35059335cbe79e4103a2ae0711e6664be09b3861799596ab4cf543872ee505", "generator_version": "3.0"}
{"id": "v3_test_id_00001600", "prompt": "Solve the equation -2(x + 7) - 25 = 9x for x.", "solution_steps": ["Expand: -2x - 14 - 25 = 9x", "Combine constants: -2x - 39 = 9x", "Subtract 9x from both sides: -11x - 39 = 0", "Add 39 to both sides: -11x = 39", "Divide both sides by -11: x = -39/11"], "final_answer": "-39/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x + 7) - 25 = 9x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 7, \"c\": 25, \"d\": 9}", "seed": "13178122018306054822", "semantic_fingerprint": "sha256:3ebd844286805ea71d7593eb352338a648ece998d4cd30a39636e83ae05bae2a", "generator_version": "3.0"}
{"id": "v3_test_id_00001601", "prompt": "Solve for x: x + 75 = 4(x + 89)", "solution_steps": ["Expand: x + 75 = 4x + 356", "Subtract 4x from both sides: -3x + 75 = 356", "Subtract 75 from both sides: -3x = 281", "Divide both sides by -3: x = -281/3"], "final_answer": "-281/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 75 = 4(x + 89)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 4, \"c\": 89}", "seed": "11437046901432342704", "semantic_fingerprint": "sha256:7ac36a16f8459b7861a3225a662ca6aff512ef859dce8704ffbf23c7fc4137e2", "generator_version": "3.0"}
{"id": "v3_test_id_00001602", "prompt": "Evaluate: -301 + 9 * (-874)", "solution_steps": ["Multiply: 9 * (-874) = -7866", "Add: -301 + (-7866) = -8167"], "final_answer": "-8167", "answer_type": "integer", "kind": "expression", "math_text": "-301 + 9 * (-874)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -301, \"b\": 9, \"c\": -874}", "seed": "2973584739488888668", "semantic_fingerprint": "sha256:03e4f673df7a9c857fe1056181e687a2eb3deb1ed89ff927d39a41551b3e7dfe", "generator_version": "3.0"}
{"id": "v3_test_id_00001603", "prompt": "Evaluate: -426 - (-52 - 973)", "solution_steps": ["Subtract: -52 - 973 = -1025", "Subtract: -426 - (-1025) = 599"], "final_answer": "599", "answer_type": "integer", "kind": "expression", "math_text": "-426 - (-52 - 973)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -426, \"b\": -52, \"c\": 973}", "seed": "15986797421303949342", "semantic_fingerprint": "sha256:72fbc294348812365ce0d35382fe93f73a7fe0cc56133783c7ca6fb5793b7f4c", "generator_version": "3.0"}
{"id": "v3_test_id_00001604", "prompt": "What value of x satisfies 4(x + 56) - 2 = -6(x - 524) - 14?", "solution_steps": ["Expand: 4x + 224 - 2 = -6(x - 524) - 14", "Expand: 4x + 224 - 2 = -6x + 3144 - 14", "Combine constants: 4x + 222 = -6x + 3144 - 14", "Combine constants: 4x + 222 = -6x + 3130", "Add 6x to both sides: 10x + 222 = 3130", "Subtract 222 from both sides: 10x = 2908", "Divide both sides by 10: x = 1454/5"], "final_answer": "1454/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 56) - 2 = -6(x - 524) - 14", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 56, \"c\": 2, \"d\": -6, \"e\": 524, \"f\": 14}", "seed": "199978114049798453", "semantic_fingerprint": "sha256:f56af69824f6cf340c6981566f718234b1c8b2cc61b64cfec4b88890265c54f9", "generator_version": "3.0"}
{"id": "v3_test_id_00001605", "prompt": "Calculate: 75 * 240 / 9 - (-95) - 923", "solution_steps": ["Multiply: 75 * 240 = 18000", "Divide: 18000 / 9 = 2000", "Subtract: 2000 - (-95) = 2095", "Subtract: 2095 - 923 = 1172"], "final_answer": "1172", "answer_type": "integer", "kind": "expression", "math_text": "75 * 240 / 9 - (-95) - 923", "variable": null, "family": "expression_4op", "shape": "(- (- (/ (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 240, \"c\": 9, \"d\": -95, \"e\": 923}", "seed": "9414443533164552376", "semantic_fingerprint": "sha256:c3c4e8e9e07b28890119e28440e69dc1b94cca8745add799f9a00e8d37842858", "generator_version": "3.0"}
{"id": "v3_test_id_00001606", "prompt": "Calculate: -630 + (-4)", "solution_steps": ["Add: -630 + (-4) = -634"], "final_answer": "-634", "answer_type": "integer", "kind": "expression", "math_text": "-630 + (-4)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -630, \"b\": -4}", "seed": "12646489053134414091", "semantic_fingerprint": "sha256:2ef46f6b5fe3caa2e79c6c29aa6a9b681f988fd987aed33f46d7bcc48f03486e", "generator_version": "3.0"}
{"id": "v3_test_id_00001607", "prompt": "Solve the equation x - 56 = 962 for x.", "solution_steps": ["Add 56 to both sides: x = 1018"], "final_answer": "1018", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 56 = 962", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 962}", "seed": "7061269708892544437", "semantic_fingerprint": "sha256:1863edd0086d3e18480e4d20f5316211958b67f529df52bbfce36b223e021e99", "generator_version": "3.0"}
{"id": "v3_test_id_00001608", "prompt": "Evaluate: -45 / ((-562 + 3) / 78)", "solution_steps": ["Add: -562 + 3 = -559", "Divide: -559 / 78 = -43/6", "Divide: -45 / (-43/6) = 270/43"], "final_answer": "270/43", "answer_type": "rational", "kind": "expression", "math_text": "-45 / ((-562 + 3) / 78)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": -562, \"c\": 3, \"d\": 78}", "seed": "7430438054397447356", "semantic_fingerprint": "sha256:e54d7ca212a59d1962a673b5465fdecbb3cb2a08d9e554f528011fd5ffef2e07", "generator_version": "3.0"}
{"id": "v3_test_id_00001609", "prompt": "What value of x satisfies 5x = 19?", "solution_steps": ["Divide both sides by 5: x = 19/5"], "final_answer": "19/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x = 19", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 19}", "seed": "15134179199026834193", "semantic_fingerprint": "sha256:6dcfb1ac7292cfad90548f37b103185d1499d993205152a14cf14b2078eb42bb", "generator_version": "3.0"}
{"id": "v3_test_id_00001610", "prompt": "Compute: 9 * (236 + (-50) / (-19))", "solution_steps": ["Divide: -50 / (-19) = 50/19", "Add: 236 + 50/19 = 4534/19", "Multiply: 9 * (4534/19) = 40806/19"], "final_answer": "40806/19", "answer_type": "rational", "kind": "expression", "math_text": "9 * (236 + (-50) / (-19))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 236, \"c\": -50, \"d\": -19}", "seed": "17098450891660203962", "semantic_fingerprint": "sha256:2911ea7dff78707924ee6b600cba546198a257f983747e92ecdf611a2c126e89", "generator_version": "3.0"}
{"id": "v3_test_id_00001611", "prompt": "Solve the equation 2x - 3 = 5x + 41 for x.", "solution_steps": ["Subtract 5x from both sides: -3x - 3 = 41", "Add 3 to both sides: -3x = 44", "Divide both sides by -3: x = -44/3"], "final_answer": "-44/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x - 3 = 5x + 41", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": 5, \"d\": 41}", "seed": "15826872525302205254", "semantic_fingerprint": "sha256:a254dce10dddae5544861c21579825283f52f203a1f4b465589a21992a0b0576", "generator_version": "3.0"}
{"id": "v3_test_id_00001612", "prompt": "What is -8 - 1?", "solution_steps": ["Subtract: -8 - 1 = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "expression", "math_text": "-8 - 1", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 1}", "seed": "14439843296821785983", "semantic_fingerprint": "sha256:2cd7debbb42dfab51ed81b5ff33f190e3c6492bc618727d7e127d9dcebfb014c", "generator_version": "3.0"}
{"id": "v3_test_id_00001613", "prompt": "Calculate: 5 / ((1 + 2) * (32 - (-7)))", "solution_steps": ["Add: 1 + 2 = 3", "Subtract: 32 - (-7) = 39", "Multiply: 3 * 39 = 117", "Divide: 5 / 117 = 5/117"], "final_answer": "5/117", "answer_type": "rational", "kind": "expression", "math_text": "5 / ((1 + 2) * (32 - (-7)))", "variable": null, "family": "expression_4op", "shape": "(/ n (* (+ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 1, \"c\": 2, \"d\": 32, \"e\": -7}", "seed": "13427637713849966619", "semantic_fingerprint": "sha256:4d1d7bfe04df616028abaec84c0f4446ad19f143f2511c8885c82a55a3ead9fa", "generator_version": "3.0"}
{"id": "v3_test_id_00001614", "prompt": "Solve for x: 4(x + 3) = 12(x - 4) - 92", "solution_steps": ["Expand: 4x + 12 = 12(x - 4) - 92", "Expand: 4x + 12 = 12x - 48 - 92", "Combine constants: 4x + 12 = 12x - 140", "Subtract 12x from both sides: -8x + 12 = -140", "Subtract 12 from both sides: -8x = -152", "Divide both sides by -8: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 3) = 12(x - 4) - 92", "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\": 4, \"f\": -92, \"x\": 19}", "seed": "7454248874069047630", "semantic_fingerprint": "sha256:2f3e02c892ba17d390f03a950e492df52c8eed2fc6edfda26863c4e9d29677f2", "generator_version": "3.0"}
{"id": "v3_test_id_00001615", "prompt": "Calculate: 2 - (-2) + (-46) / (-64)", "solution_steps": ["Subtract: 2 - (-2) = 4", "Divide: -46 / (-64) = 23/32", "Add: 4 + 23/32 = 151/32"], "final_answer": "151/32", "answer_type": "rational", "kind": "expression", "math_text": "2 - (-2) + (-46) / (-64)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -2, \"c\": -46, \"d\": -64}", "seed": "8875573701626154640", "semantic_fingerprint": "sha256:7aa0b4eb410d1d139916ea708c37d2f3e3b9c1776e0d43f3a4598503a8caff57", "generator_version": "3.0"}
{"id": "v3_test_id_00001616", "prompt": "Find x: -10x - 1 = 7(x - 6) + 13", "solution_steps": ["Expand: -10x - 1 = 7x - 42 + 13", "Combine constants: -10x - 1 = 7x - 29", "Subtract 7x from both sides: -17x - 1 = -29", "Add 1 to both sides: -17x = -28", "Divide both sides by -17: x = 28/17"], "final_answer": "28/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10x - 1 = 7(x - 6) + 13", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 1, \"c\": 7, \"d\": 6, \"e\": 13}", "seed": "8703343447098351845", "semantic_fingerprint": "sha256:1574c12c1d632ef53d06879bab920c0d7c6402255007a82f4087ecbb1d674444", "generator_version": "3.0"}
{"id": "v3_test_id_00001617", "prompt": "Evaluate: -21 + (-379) / (-3 + (-2) - (-812))", "solution_steps": ["Add: -3 + (-2) = -5", "Subtract: -5 - (-812) = 807", "Divide: -379 / 807 = -379/807", "Add: -21 + (-379/807) = -17326/807"], "final_answer": "-17326/807", "answer_type": "rational", "kind": "expression", "math_text": "-21 + (-379) / (-3 + (-2) - (-812))", "variable": null, "family": "expression_4op", "shape": "(+ n (/ n (- (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": -379, \"c\": -3, \"d\": -2, \"e\": -812}", "seed": "12331021044236370318", "semantic_fingerprint": "sha256:e717de5edecc8cf54ba5bf95ec2099be685ebd1d361eeea484054d22a76b3d7d", "generator_version": "3.0"}
{"id": "v3_test_id_00001618", "prompt": "Compute: 7 / 1 - (-239) * 59", "solution_steps": ["Divide: 7 / 1 = 7", "Multiply: -239 * 59 = -14101", "Subtract: 7 - (-14101) = 14108"], "final_answer": "14108", "answer_type": "integer", "kind": "expression", "math_text": "7 / 1 - (-239) * 59", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 1, \"c\": -239, \"d\": 59}", "seed": "5896975971454577373", "semantic_fingerprint": "sha256:9e2be86edc765a9afe81404b21811f16ce020f7450daf942992931bdb47c1fc4", "generator_version": "3.0"}
{"id": "v3_test_id_00001619", "prompt": "Calculate: -318 / 18 / 9", "solution_steps": ["Divide: -318 / 18 = -53/3", "Divide: (-53/3) / 9 = -53/27"], "final_answer": "-53/27", "answer_type": "rational", "kind": "expression", "math_text": "-318 / 18 / 9", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -318, \"b\": 18, \"c\": 9}", "seed": "11690576531819743029", "semantic_fingerprint": "sha256:e0b819b34a2ba1b3b1308d4486e015dc503e1b1a5a2fa1e23bebde749ef8c8e7", "generator_version": "3.0"}
{"id": "v3_test_id_00001620", "prompt": "Solve for x: 11(x - 7) = -7x", "solution_steps": ["Expand: 11x - 77 = -7x", "Add 7x to both sides: 18x - 77 = 0", "Add 77 to both sides: 18x = 77", "Divide both sides by 18: x = 77/18"], "final_answer": "77/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 7) = -7x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 7, \"c\": -7}", "seed": "13694253213938459021", "semantic_fingerprint": "sha256:4fa9421fd4474c1fd90c8317796fee6205acca93197b9088288cfd7975121a31", "generator_version": "3.0"}
{"id": "v3_test_id_00001621", "prompt": "What is 370 - 463 + 124 / 937?", "solution_steps": ["Subtract: 370 - 463 = -93", "Divide: 124 / 937 = 124/937", "Add: -93 + 124/937 = -87017/937"], "final_answer": "-87017/937", "answer_type": "rational", "kind": "expression", "math_text": "370 - 463 + 124 / 937", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 370, \"b\": 463, \"c\": 124, \"d\": 937}", "seed": "8078379977719024855", "semantic_fingerprint": "sha256:b0d620f51b44df591fd25d8838168ac109303d11eb1c0f32e092bfc0c3c1eb32", "generator_version": "3.0"}
{"id": "v3_test_id_00001622", "prompt": "Compute: 14 - (-26) - 10", "solution_steps": ["Subtract: 14 - (-26) = 40", "Subtract: 40 - 10 = 30"], "final_answer": "30", "answer_type": "integer", "kind": "expression", "math_text": "14 - (-26) - 10", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": -26, \"c\": 10}", "seed": "8986488497823438980", "semantic_fingerprint": "sha256:61ef97c8f14e7cf128dbfb3810ad523486b85784672d425ba4de6effb392b623", "generator_version": "3.0"}
{"id": "v3_test_id_00001623", "prompt": "Solve for x: -11x = 3x", "solution_steps": ["Subtract 3x from both sides: -14x = 0", "Divide both sides by -14: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x = 3x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 3}", "seed": "8400815063220405720", "semantic_fingerprint": "sha256:ea3961dcffc9c9c33eed9f8acbc42a1a65e349e224403b3a269c2be5f5531b1c", "generator_version": "3.0"}
{"id": "v3_test_id_00001624", "prompt": "Compute: -5 / (50 + 318 + 86)", "solution_steps": ["Add: 50 + 318 = 368", "Add: 368 + 86 = 454", "Divide: -5 / 454 = -5/454"], "final_answer": "-5/454", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (50 + 318 + 86)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 50, \"c\": 318, \"d\": 86}", "seed": "17972835031647319491", "semantic_fingerprint": "sha256:c10acbe5294c5a22a82a1e14eb0344cc3e827b99e141565725fe0b6db042e7ef", "generator_version": "3.0"}
{"id": "v3_test_id_00001625", "prompt": "Compute: -17 + 46 - (-883)", "solution_steps": ["Add: -17 + 46 = 29", "Subtract: 29 - (-883) = 912"], "final_answer": "912", "answer_type": "integer", "kind": "expression", "math_text": "-17 + 46 - (-883)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": 46, \"c\": -883}", "seed": "14794499176388109649", "semantic_fingerprint": "sha256:bbff920f4ccc80edfa35eb90d192bf1d2bc5284f8aadf3a0b3443e0c8bf4f8a8", "generator_version": "3.0"}
{"id": "v3_test_id_00001626", "prompt": "Calculate: (60 / (-3) + 3) * (49 + 18)", "solution_steps": ["Divide: 60 / (-3) = -20", "Add: -20 + 3 = -17", "Add: 49 + 18 = 67", "Multiply: -17 * 67 = -1139"], "final_answer": "-1139", "answer_type": "integer", "kind": "expression", "math_text": "(60 / (-3) + 3) * (49 + 18)", "variable": null, "family": "expression_4op", "shape": "(* (+ (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": -3, \"c\": 3, \"d\": 49, \"e\": 18}", "seed": "17663530570961415265", "semantic_fingerprint": "sha256:4bd964822a952da7925b840253b6ffa64f417f821fc840ae228ec0e928046735", "generator_version": "3.0"}
{"id": "v3_test_id_00001627", "prompt": "Calculate: -317 - (-949 + (218 + (-211)))", "solution_steps": ["Add: 218 + (-211) = 7", "Add: -949 + 7 = -942", "Subtract: -317 - (-942) = 625"], "final_answer": "625", "answer_type": "integer", "kind": "expression", "math_text": "-317 - (-949 + (218 + (-211)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -317, \"b\": -949, \"c\": 218, \"d\": -211}", "seed": "11660502097642073362", "semantic_fingerprint": "sha256:be4e13c66534374b2d2993a00cf4e7dc241b9691c37dea4c7590221a320bd9db", "generator_version": "3.0"}
{"id": "v3_test_id_00001628", "prompt": "Evaluate: -7 * (9 * (-9) * 443) - (-3)", "solution_steps": ["Multiply: 9 * (-9) = -81", "Multiply: -81 * 443 = -35883", "Multiply: -7 * (-35883) = 251181", "Subtract: 251181 - (-3) = 251184"], "final_answer": "251184", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (9 * (-9) * 443) - (-3)", "variable": null, "family": "expression_4op", "shape": "(- (* n (* (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 9, \"c\": -9, \"d\": 443, \"e\": -3}", "seed": "488835408586630756", "semantic_fingerprint": "sha256:eafda473e420810b7cbf86af5249c5e56acc949ec047011fc450a63a848761cb", "generator_version": "3.0"}
{"id": "v3_test_id_00001629", "prompt": "Calculate: 7 + 610 - 786", "solution_steps": ["Add: 7 + 610 = 617", "Subtract: 617 - 786 = -169"], "final_answer": "-169", "answer_type": "integer", "kind": "expression", "math_text": "7 + 610 - 786", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 610, \"c\": 786}", "seed": "7237708604206165437", "semantic_fingerprint": "sha256:d88b75848fbcb15c3ca0ae75e1ca359435e2bce83d6480163ecbc70402645023", "generator_version": "3.0"}
{"id": "v3_test_id_00001630", "prompt": "What value of x satisfies 10(x + 31) = -5x?", "solution_steps": ["Expand: 10x + 310 = -5x", "Add 5x to both sides: 15x + 310 = 0", "Subtract 310 from both sides: 15x = -310", "Divide both sides by 15: x = -62/3"], "final_answer": "-62/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 31) = -5x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 31, \"c\": -5}", "seed": "5052367338681727327", "semantic_fingerprint": "sha256:26c21fbb2d7e188feaf904b374b948379f35bc14851e9440990e689279cb4d96", "generator_version": "3.0"}
{"id": "v3_test_id_00001631", "prompt": "Solve for x: 11(x - 4) = 3x", "solution_steps": ["Expand: 11x - 44 = 3x", "Subtract 3x from both sides: 8x - 44 = 0", "Add 44 to both sides: 8x = 44", "Divide both sides by 8: x = 11/2"], "final_answer": "11/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 4) = 3x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": 3}", "seed": "10485797031775104584", "semantic_fingerprint": "sha256:f4580fba381cffcd0fdd95b0baff419e94c3a21f50b253d2c8100a9f62aee1c7", "generator_version": "3.0"}
{"id": "v3_test_id_00001632", "prompt": "What is (0 + 92) / (-1)?", "solution_steps": ["Add: 0 + 92 = 92", "Divide: 92 / (-1) = -92"], "final_answer": "-92", "answer_type": "integer", "kind": "expression", "math_text": "(0 + 92) / (-1)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 92, \"c\": -1}", "seed": "5251913028699617360", "semantic_fingerprint": "sha256:f85ccbff85937a76f0c4548a8d20d4c80eaac73f876953d220936a86babd9e70", "generator_version": "3.0"}
{"id": "v3_test_id_00001633", "prompt": "Calculate: -16 * (-3) / (-55 * 9)", "solution_steps": ["Multiply: -16 * (-3) = 48", "Multiply: -55 * 9 = -495", "Divide: 48 / (-495) = -16/165"], "final_answer": "-16/165", "answer_type": "rational", "kind": "expression", "math_text": "-16 * (-3) / (-55 * 9)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": -3, \"c\": -55, \"d\": 9}", "seed": "151989780168882463", "semantic_fingerprint": "sha256:585f7257c5a81d57647af0947cd3f8adb4fd9f7f027024148b68da57ed07cd30", "generator_version": "3.0"}
{"id": "v3_test_id_00001634", "prompt": "Find x: x - 415 = -6(x + 28) + 17", "solution_steps": ["Expand: x - 415 = -6x - 168 + 17", "Combine constants: x - 415 = -6x - 151", "Add 6x to both sides: 7x - 415 = -151", "Add 415 to both sides: 7x = 264", "Divide both sides by 7: x = 264/7"], "final_answer": "264/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 415 = -6(x + 28) + 17", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 415, \"b\": -6, \"c\": 28, \"d\": 17}", "seed": "1409425769383550887", "semantic_fingerprint": "sha256:2fff048b51b69e5fe5f86dc605c140abc3f14b44a0e9b97ad22da99e54d288f1", "generator_version": "3.0"}
{"id": "v3_test_id_00001635", "prompt": "Find x: 3(x - 19) = 11(x - 8)", "solution_steps": ["Expand: 3x - 57 = 11(x - 8)", "Expand: 3x - 57 = 11x - 88", "Subtract 11x from both sides: -8x - 57 = -88", "Add 57 to both sides: -8x = -31", "Divide both sides by -8: x = 31/8"], "final_answer": "31/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 19) = 11(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 19, \"c\": 11, \"d\": 8}", "seed": "4336845241387028804", "semantic_fingerprint": "sha256:acd804a47991d770ed1d5ec409f15f947654af474f174183080844ea491da3c5", "generator_version": "3.0"}
{"id": "v3_test_id_00001636", "prompt": "What is 9 * (-72) * 1?", "solution_steps": ["Multiply: 9 * (-72) = -648", "Multiply: -648 * 1 = -648"], "final_answer": "-648", "answer_type": "integer", "kind": "expression", "math_text": "9 * (-72) * 1", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -72, \"c\": 1}", "seed": "4558549270451762379", "semantic_fingerprint": "sha256:613ba1a4c14a831e0ceeaba5484635f751e7233c8efd4558a69f9be279079524", "generator_version": "3.0"}
{"id": "v3_test_id_00001637", "prompt": "What is (-241 + (-455)) * 317?", "solution_steps": ["Add: -241 + (-455) = -696", "Multiply: -696 * 317 = -220632"], "final_answer": "-220632", "answer_type": "integer", "kind": "expression", "math_text": "(-241 + (-455)) * 317", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -241, \"b\": -455, \"c\": 317}", "seed": "3867040794539785086", "semantic_fingerprint": "sha256:29e0b5aa05fa43dff77e7484be69f353b088258258125c8de6906512fddb58b4", "generator_version": "3.0"}
{"id": "v3_test_id_00001638", "prompt": "What is -91 + (-45) - (-7)?", "solution_steps": ["Add: -91 + (-45) = -136", "Subtract: -136 - (-7) = -129"], "final_answer": "-129", "answer_type": "integer", "kind": "expression", "math_text": "-91 + (-45) - (-7)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": -45, \"c\": -7}", "seed": "15417244317125087083", "semantic_fingerprint": "sha256:7de1427451e3e39e7bbbd89f4ca6830371a622bae1d5096f5cfff99fbae350c0", "generator_version": "3.0"}
{"id": "v3_test_id_00001639", "prompt": "Calculate: 4 / 19 / 486", "solution_steps": ["Divide: 4 / 19 = 4/19", "Divide: (4/19) / 486 = 2/4617"], "final_answer": "2/4617", "answer_type": "rational", "kind": "expression", "math_text": "4 / 19 / 486", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 19, \"c\": 486}", "seed": "14014531771348439069", "semantic_fingerprint": "sha256:efd544d8fc8a7e4e06bcce400a84577e94199311fe72784fa12bd6635a4e9b37", "generator_version": "3.0"}
{"id": "v3_test_id_00001640", "prompt": "Calculate: 56 / (-72 + 112)", "solution_steps": ["Add: -72 + 112 = 40", "Divide: 56 / 40 = 7/5"], "final_answer": "7/5", "answer_type": "rational", "kind": "expression", "math_text": "56 / (-72 + 112)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": -72, \"c\": 112}", "seed": "4201457216553416762", "semantic_fingerprint": "sha256:ac2d2021889bbfd74c2321f900e46efa63fb19d014be19139c714ca95e13da7d", "generator_version": "3.0"}
{"id": "v3_test_id_00001641", "prompt": "Evaluate: -59 / (-49) + 93", "solution_steps": ["Divide: -59 / (-49) = 59/49", "Add: 59/49 + 93 = 4616/49"], "final_answer": "4616/49", "answer_type": "rational", "kind": "expression", "math_text": "-59 / (-49) + 93", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": -49, \"c\": 93}", "seed": "75507218116309497", "semantic_fingerprint": "sha256:8cdcc29aa7bcb01d8769f62308f631f3fcce078d35872753a84939c5876177ce", "generator_version": "3.0"}
{"id": "v3_test_id_00001642", "prompt": "Solve the equation -6x - 84 = x for x.", "solution_steps": ["Subtract x from both sides: -7x - 84 = 0", "Add 84 to both sides: -7x = 84", "Divide both sides by -7: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x - 84 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"c\": -84, \"x\": -12}", "seed": "11864817462479233901", "semantic_fingerprint": "sha256:610cdf71cd544c007cd141fc12d94e967bef2cf7609ef1cbf6799e507adb921d", "generator_version": "3.0"}
{"id": "v3_test_id_00001643", "prompt": "Calculate: -7 + (3 + (-2)) + (-107 - 87)", "solution_steps": ["Add: 3 + (-2) = 1", "Add: -7 + 1 = -6", "Subtract: -107 - 87 = -194", "Add: -6 + (-194) = -200"], "final_answer": "-200", "answer_type": "integer", "kind": "expression", "math_text": "-7 + (3 + (-2)) + (-107 - 87)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 3, \"c\": -2, \"d\": -107, \"e\": 87}", "seed": "16306676137758926493", "semantic_fingerprint": "sha256:6a14b7a74dbc1f7891ac7cb8f36aaac6d81b12c15571173b57a33c713678172b", "generator_version": "3.0"}
{"id": "v3_test_id_00001644", "prompt": "What is 839 - (-856) * 35 / (-45)?", "solution_steps": ["Multiply: -856 * 35 = -29960", "Divide: -29960 / (-45) = 5992/9", "Subtract: 839 - 5992/9 = 1559/9"], "final_answer": "1559/9", "answer_type": "rational", "kind": "expression", "math_text": "839 - (-856) * 35 / (-45)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 839, \"b\": -856, \"c\": 35, \"d\": -45}", "seed": "10697892551163340363", "semantic_fingerprint": "sha256:52719877cf8ed3acf8fa8861682666045d430b359d49f1f52445b506d1352549", "generator_version": "3.0"}
{"id": "v3_test_id_00001645", "prompt": "What value of x satisfies 12(x + 8) + 3 = x?", "solution_steps": ["Expand: 12x + 96 + 3 = x", "Combine constants: 12x + 99 = x", "Subtract x from both sides: 11x + 99 = 0", "Subtract 99 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 + 8) + 3 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 8, \"c\": 3}", "seed": "4264633972736215324", "semantic_fingerprint": "sha256:78d2ba2063fe7adef45f2393a4109ae8941c9dc34572e6edfb622828ef4b6a0f", "generator_version": "3.0"}
{"id": "v3_test_id_00001646", "prompt": "Find x: 3x - 409 = 10(x - 617) - 172", "solution_steps": ["Expand: 3x - 409 = 10x - 6170 - 172", "Combine constants: 3x - 409 = 10x - 6342", "Subtract 10x from both sides: -7x - 409 = -6342", "Add 409 to both sides: -7x = -5933", "Divide both sides by -7: x = 5933/7"], "final_answer": "5933/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x - 409 = 10(x - 617) - 172", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 409, \"c\": 10, \"d\": 617, \"e\": 172}", "seed": "9681478264497478834", "semantic_fingerprint": "sha256:e01b30f7e0d2ff9d5eba95ec9e7eba29de199a6b9bacfd90b263c3ad97b3974d", "generator_version": "3.0"}
{"id": "v3_test_id_00001647", "prompt": "What is (51 - (-5)) * (-3 * 2 - (-29))?", "solution_steps": ["Subtract: 51 - (-5) = 56", "Multiply: -3 * 2 = -6", "Subtract: -6 - (-29) = 23", "Multiply: 56 * 23 = 1288"], "final_answer": "1288", "answer_type": "integer", "kind": "expression", "math_text": "(51 - (-5)) * (-3 * 2 - (-29))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": -5, \"c\": -3, \"d\": 2, \"e\": -29}", "seed": "6055860809554380163", "semantic_fingerprint": "sha256:5702b2b50549b69af58120c41a37630cb09b90f9769a27b93330828ed533c106", "generator_version": "3.0"}
{"id": "v3_test_id_00001648", "prompt": "What is 1 / 5 / 99?", "solution_steps": ["Divide: 1 / 5 = 1/5", "Divide: (1/5) / 99 = 1/495"], "final_answer": "1/495", "answer_type": "rational", "kind": "expression", "math_text": "1 / 5 / 99", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 5, \"c\": 99}", "seed": "16830843681741866534", "semantic_fingerprint": "sha256:1ca85db9999f239fe98361cfec71fb7fee6fbb5d5f0f55f4c774b38bcb330cba", "generator_version": "3.0"}
{"id": "v3_test_id_00001649", "prompt": "What is 0 - (-255) * (2 * 9) / 9 + (-8)?", "solution_steps": ["Multiply: 2 * 9 = 18", "Multiply: -255 * 18 = -4590", "Divide: -4590 / 9 = -510", "Subtract: 0 - (-510) = 510", "Add: 510 + (-8) = 502"], "final_answer": "502", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-255) * (2 * 9) / 9 + (-8)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (/ (* n (* n n)) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -255, \"c\": 2, \"d\": 9, \"e\": 9, \"f\": -8}", "seed": "18237747694406051118", "semantic_fingerprint": "sha256:41573c4888457375bf68db10e76f0264571b1afae638fb7d388f39c5f3aafcd5", "generator_version": "3.0"}
{"id": "v3_test_id_00001650", "prompt": "Solve the equation x - 236 = -12(x - 2) for x.", "solution_steps": ["Expand: x - 236 = -12x + 24", "Add 12x to both sides: 13x - 236 = 24", "Add 236 to both sides: 13x = 260", "Divide both sides by 13: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 236 = -12(x - 2)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 2, \"d\": -236, \"x\": 20}", "seed": "14662773137364136183", "semantic_fingerprint": "sha256:407eecee65f03aee4b8481cb269e6576cd86a623c50f9dca13bb92b296d24484", "generator_version": "3.0"}
{"id": "v3_test_id_00001651", "prompt": "Calculate: (213 - (-77) * (-814 - 6)) / (-8)", "solution_steps": ["Subtract: -814 - 6 = -820", "Multiply: -77 * (-820) = 63140", "Subtract: 213 - 63140 = -62927", "Divide: -62927 / (-8) = 62927/8"], "final_answer": "62927/8", "answer_type": "rational", "kind": "expression", "math_text": "(213 - (-77) * (-814 - 6)) / (-8)", "variable": null, "family": "expression_4op", "shape": "(/ (- n (* n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 213, \"b\": -77, \"c\": -814, \"d\": 6, \"e\": -8}", "seed": "13541573540512896558", "semantic_fingerprint": "sha256:228f2f06359127d15cd4fc11005672319d8ed3266d55a88f9ba77a9a0bf28b9d", "generator_version": "3.0"}
{"id": "v3_test_id_00001652", "prompt": "Compute: (-534 - 3 - 9) * (-461 * (-1))", "solution_steps": ["Subtract: -534 - 3 = -537", "Subtract: -537 - 9 = -546", "Multiply: -461 * (-1) = 461", "Multiply: -546 * 461 = -251706"], "final_answer": "-251706", "answer_type": "integer", "kind": "expression", "math_text": "(-534 - 3 - 9) * (-461 * (-1))", "variable": null, "family": "expression_4op", "shape": "(* (- (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -534, \"b\": 3, \"c\": 9, \"d\": -461, \"e\": -1}", "seed": "11503534017859047984", "semantic_fingerprint": "sha256:8c7f8420688f84705954f22aa3d9615adbc32842847a58455f4ff0a594f25f1f", "generator_version": "3.0"}
{"id": "v3_test_id_00001653", "prompt": "Calculate: -8 + (426 + 2)", "solution_steps": ["Add: 426 + 2 = 428", "Add: -8 + 428 = 420"], "final_answer": "420", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (426 + 2)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 426, \"c\": 2}", "seed": "5316101096383390226", "semantic_fingerprint": "sha256:8f3245382748230f7bda76f3118172b6ffaa3e07082c077ac9a60211fb58bf57", "generator_version": "3.0"}
{"id": "v3_test_id_00001654", "prompt": "Solve the equation 2(x - 9) = 1 for x.", "solution_steps": ["Expand: 2x - 18 = 1", "Add 18 to both sides: 2x = 19", "Divide both sides by 2: x = 19/2"], "final_answer": "19/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 9) = 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 1}", "seed": "3933470166981196474", "semantic_fingerprint": "sha256:9a1be042c164b71a8f7aec0e5c5839db965b31512bcc4a092b39ff20277a7301", "generator_version": "3.0"}
{"id": "v3_test_id_00001655", "prompt": "What value of x satisfies 11x + 3 = x - 197?", "solution_steps": ["Subtract x from both sides: 10x + 3 = -197", "Subtract 3 from both sides: 10x = -200", "Divide both sides by 10: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 3 = x - 197", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 3, \"d\": -197, \"x\": -20}", "seed": "558072528872222251", "semantic_fingerprint": "sha256:73a5427a76e148a070c0c5de911268385b7fcb9f28e49e95aa81dc340fdc7e51", "generator_version": "3.0"}
{"id": "v3_test_id_00001656", "prompt": "Find x: 9x - 38 = 12(x - 25) + 205", "solution_steps": ["Expand: 9x - 38 = 12x - 300 + 205", "Combine constants: 9x - 38 = 12x - 95", "Subtract 12x from both sides: -3x - 38 = -95", "Add 38 to both sides: -3x = -57", "Divide both sides by -3: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 38 = 12(x - 25) + 205", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 38, \"c\": 12, \"d\": 25, \"f\": 205, \"x\": 19}", "seed": "16613482650541576462", "semantic_fingerprint": "sha256:adc28bfc690c9fe79cfc080ab9c289420fa2a0585d146dba42d7da5eecccd0a2", "generator_version": "3.0"}
{"id": "v3_test_id_00001657", "prompt": "Compute: -9 - (-651)", "solution_steps": ["Subtract: -9 - (-651) = 642"], "final_answer": "642", "answer_type": "integer", "kind": "expression", "math_text": "-9 - (-651)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -651}", "seed": "11787751873116999440", "semantic_fingerprint": "sha256:0cd4c9fd744a74262c114cd1d4effb385f5d64706d6052ef27740a2c5f253666", "generator_version": "3.0"}
{"id": "v3_test_id_00001658", "prompt": "Compute: -80 * 804 / (-914)", "solution_steps": ["Multiply: -80 * 804 = -64320", "Divide: -64320 / (-914) = 32160/457"], "final_answer": "32160/457", "answer_type": "rational", "kind": "expression", "math_text": "-80 * 804 / (-914)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": 804, \"c\": -914}", "seed": "18345094948809613113", "semantic_fingerprint": "sha256:de8cdb7be4af200a06fb3ef8383f8ae8479ce3226bc681c17271be6abc4b35fc", "generator_version": "3.0"}
{"id": "v3_test_id_00001659", "prompt": "Find x: 10(x + 63) + 64 = 6x", "solution_steps": ["Expand: 10x + 630 + 64 = 6x", "Combine constants: 10x + 694 = 6x", "Subtract 6x from both sides: 4x + 694 = 0", "Subtract 694 from both sides: 4x = -694", "Divide both sides by 4: x = -347/2"], "final_answer": "-347/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 63) + 64 = 6x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 63, \"c\": 64, \"d\": 6}", "seed": "554444606434766088", "semantic_fingerprint": "sha256:9c39d557dd4f8edaf5d10590b16508195f8cb820ad3f0bd85b8f2acc60c470f9", "generator_version": "3.0"}
{"id": "v3_test_id_00001660", "prompt": "Solve for x: -8x - 9 = 6(x + 67) - 187", "solution_steps": ["Expand: -8x - 9 = 6x + 402 - 187", "Combine constants: -8x - 9 = 6x + 215", "Subtract 6x from both sides: -14x - 9 = 215", "Add 9 to both sides: -14x = 224", "Divide both sides by -14: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x - 9 = 6(x + 67) - 187", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 9, \"c\": 6, \"d\": 67, \"f\": -187, \"x\": -16}", "seed": "13234873109184256001", "semantic_fingerprint": "sha256:8131479c84057d51f2f21f91d9a968c0a1c54d53dcb9692c06deda742c2e21df", "generator_version": "3.0"}
{"id": "v3_test_id_00001661", "prompt": "What value of x satisfies -11(x + 45) - 3 = 12(x + 969)?", "solution_steps": ["Expand: -11x - 495 - 3 = 12(x + 969)", "Expand: -11x - 495 - 3 = 12x + 11628", "Combine constants: -11x - 498 = 12x + 11628", "Subtract 12x from both sides: -23x - 498 = 11628", "Add 498 to both sides: -23x = 12126", "Divide both sides by -23: x = -12126/23"], "final_answer": "-12126/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x + 45) - 3 = 12(x + 969)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 45, \"c\": 3, \"d\": 12, \"e\": 969}", "seed": "4870574456444641721", "semantic_fingerprint": "sha256:8c08bd5c0ed8682d819910c3b1f98b1d8a51bb7371f9f4a8193b8bd2c4471adf", "generator_version": "3.0"}
{"id": "v3_test_id_00001662", "prompt": "Compute: 14 * (52 * (-294) - 83 * 8)", "solution_steps": ["Multiply: 52 * (-294) = -15288", "Multiply: 83 * 8 = 664", "Subtract: -15288 - 664 = -15952", "Multiply: 14 * (-15952) = -223328"], "final_answer": "-223328", "answer_type": "integer", "kind": "expression", "math_text": "14 * (52 * (-294) - 83 * 8)", "variable": null, "family": "expression_4op", "shape": "(* n (- (* n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 52, \"c\": -294, \"d\": 83, \"e\": 8}", "seed": "2676453214811265687", "semantic_fingerprint": "sha256:f40c9b8a1e3d621a9e9cec795e2628c38dae826ef14d572e6e0502920b154d55", "generator_version": "3.0"}
{"id": "v3_test_id_00001663", "prompt": "Compute: -81 * 64 - (-43)", "solution_steps": ["Multiply: -81 * 64 = -5184", "Subtract: -5184 - (-43) = -5141"], "final_answer": "-5141", "answer_type": "integer", "kind": "expression", "math_text": "-81 * 64 - (-43)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": 64, \"c\": -43}", "seed": "9490676850007035195", "semantic_fingerprint": "sha256:494efae177ddfab8b2797c42d0c1cf46782f1eccb31d9dd4bc445d37f95aa2c2", "generator_version": "3.0"}
{"id": "v3_test_id_00001664", "prompt": "What is 2 / (-8) * (-9 + 27)?", "solution_steps": ["Divide: 2 / (-8) = -1/4", "Add: -9 + 27 = 18", "Multiply: (-1/4) * 18 = -9/2"], "final_answer": "-9/2", "answer_type": "rational", "kind": "expression", "math_text": "2 / (-8) * (-9 + 27)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -8, \"c\": -9, \"d\": 27}", "seed": "8439302427443831506", "semantic_fingerprint": "sha256:957c3cf4330507d2b6e64631e5dc1d406ae5c226bf18eb20d4b379fe6266ef01", "generator_version": "3.0"}
{"id": "v3_test_id_00001665", "prompt": "Solve for x: 5(x - 9) = -4(x - 285) - 1", "solution_steps": ["Expand: 5x - 45 = -4(x - 285) - 1", "Expand: 5x - 45 = -4x + 1140 - 1", "Combine constants: 5x - 45 = -4x + 1139", "Add 4x to both sides: 9x - 45 = 1139", "Add 45 to both sides: 9x = 1184", "Divide both sides by 9: x = 1184/9"], "final_answer": "1184/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 9) = -4(x - 285) - 1", "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\": -4, \"d\": 285, \"e\": 1}", "seed": "985602912886485280", "semantic_fingerprint": "sha256:927bca34e2162fdb256196ffe506fc5ae9ed7656a92ed5908a546ce3269cf957", "generator_version": "3.0"}
{"id": "v3_test_id_00001666", "prompt": "Find x: -2(x - 534) - 978 = -8x", "solution_steps": ["Expand: -2x + 1068 - 978 = -8x", "Combine constants: -2x + 90 = -8x", "Add 8x to both sides: 6x + 90 = 0", "Subtract 90 from both sides: 6x = -90", "Divide both sides by 6: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 534) - 978 = -8x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 534, \"c\": -8, \"e\": -978, \"x\": -15}", "seed": "1713013488290222191", "semantic_fingerprint": "sha256:a454aee2bfd22936a30f7431d2719772598fb2b2b4b3798cd61e6da120f42f89", "generator_version": "3.0"}
{"id": "v3_test_id_00001667", "prompt": "What is -7 - (542 + (-8) - 57)?", "solution_steps": ["Add: 542 + (-8) = 534", "Subtract: 534 - 57 = 477", "Subtract: -7 - 477 = -484"], "final_answer": "-484", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (542 + (-8) - 57)", "variable": null, "family": "expression_3op", "shape": "(- n (- (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 542, \"c\": -8, \"d\": 57}", "seed": "13223479894695995874", "semantic_fingerprint": "sha256:82f6085bcd17e4c2110af4acfebb905d322f6640ff27b094632caf65f0aea502", "generator_version": "3.0"}
{"id": "v3_test_id_00001668", "prompt": "Calculate: -33 * (-72 * (62 + 2 * (86 + (-6))))", "solution_steps": ["Add: 86 + (-6) = 80", "Multiply: 2 * 80 = 160", "Add: 62 + 160 = 222", "Multiply: -72 * 222 = -15984", "Multiply: -33 * (-15984) = 527472"], "final_answer": "527472", "answer_type": "integer", "kind": "expression", "math_text": "-33 * (-72 * (62 + 2 * (86 + (-6))))", "variable": null, "family": "expression_5op", "shape": "(* n (* n (+ n (* n (+ n n)))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": -72, \"c\": 62, \"d\": 2, \"e\": 86, \"f\": -6}", "seed": "6200757094349175721", "semantic_fingerprint": "sha256:e6b9e1c98a8b70afe41571dd70424dbcddde341e2259e2b99c917870d49fadb0", "generator_version": "3.0"}
{"id": "v3_test_id_00001669", "prompt": "What is -15 / 20 / (-42 - 0)?", "solution_steps": ["Divide: -15 / 20 = -3/4", "Subtract: -42 - 0 = -42", "Divide: (-3/4) / (-42) = 1/56"], "final_answer": "1/56", "answer_type": "rational", "kind": "expression", "math_text": "-15 / 20 / (-42 - 0)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": 20, \"c\": -42, \"d\": 0}", "seed": "4271581852994648006", "semantic_fingerprint": "sha256:800b8ef396e2dab8054ba73adaf38d89be12b3cf6d84f58c52473cee47b7d598", "generator_version": "3.0"}
{"id": "v3_test_id_00001670", "prompt": "Evaluate: (280 + (-50)) / 415 / (-7)", "solution_steps": ["Add: 280 + (-50) = 230", "Divide: 230 / 415 = 46/83", "Divide: (46/83) / (-7) = -46/581"], "final_answer": "-46/581", "answer_type": "rational", "kind": "expression", "math_text": "(280 + (-50)) / 415 / (-7)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 280, \"b\": -50, \"c\": 415, \"d\": -7}", "seed": "16198995011103358440", "semantic_fingerprint": "sha256:bd74f274af78c3ef521d61d46fecb57366384e3f1367952d433f26cd8d816850", "generator_version": "3.0"}
{"id": "v3_test_id_00001671", "prompt": "Find x: -4x - 9 = -398", "solution_steps": ["Add 9 to both sides: -4x = -389", "Divide both sides by -4: x = 389/4"], "final_answer": "389/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4x - 9 = -398", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 9, \"c\": -398}", "seed": "7916289797315070064", "semantic_fingerprint": "sha256:8ed9a8e95b434fb104f9ea7b1acc7c07e13dca432781f22e3aaf0ff828e1109d", "generator_version": "3.0"}
{"id": "v3_test_id_00001672", "prompt": "Evaluate: 2 - 80 / 78", "solution_steps": ["Divide: 80 / 78 = 40/39", "Subtract: 2 - 40/39 = 38/39"], "final_answer": "38/39", "answer_type": "rational", "kind": "expression", "math_text": "2 - 80 / 78", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 80, \"c\": 78}", "seed": "1523784418160582455", "semantic_fingerprint": "sha256:508ce069f428a5dfca6e5940c2f9b90b004e498ae158791979ca6d7f459c3bd9", "generator_version": "3.0"}
{"id": "v3_test_id_00001673", "prompt": "Solve for x: x = 4(x - 573)", "solution_steps": ["Expand: x = 4x - 2292", "Subtract 4x from both sides: -3x = -2292", "Divide both sides by -3: x = 764"], "final_answer": "764", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 4(x - 573)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 573}", "seed": "1815599103617054794", "semantic_fingerprint": "sha256:83e3d1021ff506b82719d7a6a06a4752ced54d50c451aac87bf0fbf4dcef547d", "generator_version": "3.0"}
{"id": "v3_test_id_00001674", "prompt": "Find x: 8(x - 1) = 2(x + 51)", "solution_steps": ["Expand: 8x - 8 = 2(x + 51)", "Expand: 8x - 8 = 2x + 102", "Subtract 2x from both sides: 6x - 8 = 102", "Add 8 to both sides: 6x = 110", "Divide both sides by 6: x = 55/3"], "final_answer": "55/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 1) = 2(x + 51)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1, \"c\": 2, \"d\": 51}", "seed": "13847229218350132897", "semantic_fingerprint": "sha256:fe43c3d409e1daf711f2b6f9631b5e3d6bc2f81702aea53c746782f78b190504", "generator_version": "3.0"}
{"id": "v3_test_id_00001675", "prompt": "What is 469 + 95 + (-92 * 0 - 5)?", "solution_steps": ["Add: 469 + 95 = 564", "Multiply: -92 * 0 = 0", "Subtract: 0 - 5 = -5", "Add: 564 + (-5) = 559"], "final_answer": "559", "answer_type": "integer", "kind": "expression", "math_text": "469 + 95 + (-92 * 0 - 5)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 469, \"b\": 95, \"c\": -92, \"d\": 0, \"e\": 5}", "seed": "5857879135938826948", "semantic_fingerprint": "sha256:41cbf1b452b3ccf70fbb945dd11013e41666a95409adcab8dd0fc36ba2ffbd52", "generator_version": "3.0"}
{"id": "v3_test_id_00001676", "prompt": "What value of x satisfies 10x - 9 = x?", "solution_steps": ["Subtract x from both sides: 9x - 9 = 0", "Add 9 to both sides: 9x = 9", "Divide both sides by 9: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 9 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"c\": -9, \"x\": 1}", "seed": "17847493848618824527", "semantic_fingerprint": "sha256:681f81621b78aed73ed32b3cdc8c808d2f2ca9180d04afb06e950b09d3ce2316", "generator_version": "3.0"}
{"id": "v3_test_id_00001677", "prompt": "Calculate: 22 + (-31) / (-13) * (-8)", "solution_steps": ["Divide: -31 / (-13) = 31/13", "Multiply: (31/13) * (-8) = -248/13", "Add: 22 + (-248/13) = 38/13"], "final_answer": "38/13", "answer_type": "rational", "kind": "expression", "math_text": "22 + (-31) / (-13) * (-8)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": -31, \"c\": -13, \"d\": -8}", "seed": "12284636528299119766", "semantic_fingerprint": "sha256:deed8470d18132550cccbc7f3b60eb5b731ac918052ea91ff278c5ba1e058bd3", "generator_version": "3.0"}
{"id": "v3_test_id_00001678", "prompt": "Compute: (576 - (-5) * (41 + 1)) * 581", "solution_steps": ["Add: 41 + 1 = 42", "Multiply: -5 * 42 = -210", "Subtract: 576 - (-210) = 786", "Multiply: 786 * 581 = 456666"], "final_answer": "456666", "answer_type": "integer", "kind": "expression", "math_text": "(576 - (-5) * (41 + 1)) * 581", "variable": null, "family": "expression_4op", "shape": "(* (- n (* n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 576, \"b\": -5, \"c\": 41, \"d\": 1, \"e\": 581}", "seed": "1877729653544150456", "semantic_fingerprint": "sha256:a22367259669643e88197a30fc1d2ff7ea5c61f45d35676a14a3b34aee151c2f", "generator_version": "3.0"}
{"id": "v3_test_id_00001679", "prompt": "Evaluate: 39 / (-35) / 1 + 93", "solution_steps": ["Divide: 39 / (-35) = -39/35", "Divide: (-39/35) / 1 = -39/35", "Add: -39/35 + 93 = 3216/35"], "final_answer": "3216/35", "answer_type": "rational", "kind": "expression", "math_text": "39 / (-35) / 1 + 93", "variable": null, "family": "expression_3op", "shape": "(+ (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": -35, \"c\": 1, \"d\": 93}", "seed": "16837031875296570935", "semantic_fingerprint": "sha256:9a2c054acb2b0e898b58e979ae93d183dbadaac0deae0611fc2facface795ee1", "generator_version": "3.0"}
{"id": "v3_test_id_00001680", "prompt": "What value of x satisfies 4(x + 49) + 6 = 182?", "solution_steps": ["Expand: 4x + 196 + 6 = 182", "Combine constants: 4x + 202 = 182", "Subtract 202 from both sides: 4x = -20", "Divide both sides by 4: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 49) + 6 = 182", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 49, \"c\": 6, \"e\": 182, \"x\": -5}", "seed": "3822816115730355985", "semantic_fingerprint": "sha256:68550575028d792007e544aed6957d56d903348082b8a452cef90e218efe56c2", "generator_version": "3.0"}
{"id": "v3_test_id_00001681", "prompt": "Solve for x: 7(x - 85) + 607 = x", "solution_steps": ["Expand: 7x - 595 + 607 = x", "Combine constants: 7x + 12 = x", "Subtract x from both sides: 6x + 12 = 0", "Subtract 12 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 - 85) + 607 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 85, \"d\": 607, \"x\": -2}", "seed": "2597976298581950006", "semantic_fingerprint": "sha256:f8db50ef9d97655f645906be8166c055a71a5279117ad5208d53bb31e6c003cf", "generator_version": "3.0"}
{"id": "v3_test_id_00001682", "prompt": "Evaluate: -6 / (-36) + 9", "solution_steps": ["Divide: -6 / (-36) = 1/6", "Add: 1/6 + 9 = 55/6"], "final_answer": "55/6", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-36) + 9", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -36, \"c\": 9}", "seed": "18028792368806472998", "semantic_fingerprint": "sha256:a0a78e4149907a83b5e2e37efc34b149c615ea8d020711e45dd3cb06e5bacd89", "generator_version": "3.0"}
{"id": "v3_test_id_00001683", "prompt": "Solve for x: x = -11x", "solution_steps": ["Add 11x to both sides: 12x = 0", "Divide both sides by 12: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -11x", "variable": "x", "family": "linear_equation", "shape": "x=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -11}", "seed": "10194986806841333175", "semantic_fingerprint": "sha256:07de645d3dc6666916d319256fe532111afb27265db6bb3eccef53a46ca5eeee", "generator_version": "3.0"}
{"id": "v3_test_id_00001684", "prompt": "What is -8 - (-5) * 538?", "solution_steps": ["Multiply: -5 * 538 = -2690", "Subtract: -8 - (-2690) = 2682"], "final_answer": "2682", "answer_type": "integer", "kind": "expression", "math_text": "-8 - (-5) * 538", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -5, \"c\": 538}", "seed": "10730006634695573484", "semantic_fingerprint": "sha256:0edcd872cbc8d8ce370f325714113dda0fb30f5930e6dbea31cb3df975ebb072", "generator_version": "3.0"}
{"id": "v3_test_id_00001685", "prompt": "Solve the equation 10(x + 1) = 8(x + 72) - 602 for x.", "solution_steps": ["Expand: 10x + 10 = 8(x + 72) - 602", "Expand: 10x + 10 = 8x + 576 - 602", "Combine constants: 10x + 10 = 8x - 26", "Subtract 8x from both sides: 2x + 10 = -26", "Subtract 10 from both sides: 2x = -36", "Divide both sides by 2: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 1) = 8(x + 72) - 602", "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\": 8, \"d\": 72, \"f\": -602, \"x\": -18}", "seed": "6149995759809840729", "semantic_fingerprint": "sha256:33f29b72ffd3651ca207ef5c66edb36a8718dccba71cc9f44f9bec3b09916532", "generator_version": "3.0"}
{"id": "v3_test_id_00001686", "prompt": "Compute: -38 / 3", "solution_steps": ["Divide: -38 / 3 = -38/3"], "final_answer": "-38/3", "answer_type": "rational", "kind": "expression", "math_text": "-38 / 3", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": 3}", "seed": "1027884365567871790", "semantic_fingerprint": "sha256:0fa3fdd6232716e9d655ea658f62bd5b6ee5d9cdabf23241632ac2b21717f1ae", "generator_version": "3.0"}
{"id": "v3_test_id_00001687", "prompt": "Compute: (79 + (9 + 93 + 3)) / (-210)", "solution_steps": ["Add: 9 + 93 = 102", "Add: 102 + 3 = 105", "Add: 79 + 105 = 184", "Divide: 184 / (-210) = -92/105"], "final_answer": "-92/105", "answer_type": "rational", "kind": "expression", "math_text": "(79 + (9 + 93 + 3)) / (-210)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (+ (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": 9, \"c\": 93, \"d\": 3, \"e\": -210}", "seed": "1128235379982756698", "semantic_fingerprint": "sha256:f154ccf82ff55ebbda81fc7021076747f2651dda36b2d3d4b937f788154af314", "generator_version": "3.0"}
{"id": "v3_test_id_00001688", "prompt": "Find x: 2(x - 53) + 146 = 7x", "solution_steps": ["Expand: 2x - 106 + 146 = 7x", "Combine constants: 2x + 40 = 7x", "Subtract 7x from both sides: -5x + 40 = 0", "Subtract 40 from both sides: -5x = -40", "Divide both sides by -5: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 53) + 146 = 7x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 53, \"c\": 7, \"e\": 146, \"x\": 8}", "seed": "17048073441654657510", "semantic_fingerprint": "sha256:c5a857e38632bb92b4d6ee8038072b0de0eded6239469a248f0cba222265b7d2", "generator_version": "3.0"}
{"id": "v3_test_id_00001689", "prompt": "Calculate: 785 / (-2 + 676)", "solution_steps": ["Add: -2 + 676 = 674", "Divide: 785 / 674 = 785/674"], "final_answer": "785/674", "answer_type": "rational", "kind": "expression", "math_text": "785 / (-2 + 676)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 785, \"b\": -2, \"c\": 676}", "seed": "4314631809285774694", "semantic_fingerprint": "sha256:488d58e6ef25d34dcc9d99473a6d40afdc12765fcbde84054874c64cf3cebd95", "generator_version": "3.0"}
{"id": "v3_test_id_00001690", "prompt": "Solve for x: -12x + 270 = 7x", "solution_steps": ["Subtract 7x from both sides: -19x + 270 = 0", "Subtract 270 from both sides: -19x = -270", "Divide both sides by -19: x = 270/19"], "final_answer": "270/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x + 270 = 7x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 270, \"c\": 7}", "seed": "14590641702673689748", "semantic_fingerprint": "sha256:d6f3a34e9b502c0cd6c261887a32a616b7553b13f94043acfd5cc8443dcf13e6", "generator_version": "3.0"}
{"id": "v3_test_id_00001691", "prompt": "Calculate: -42 * ((112 - (-6)) / 12) + 81", "solution_steps": ["Subtract: 112 - (-6) = 118", "Divide: 118 / 12 = 59/6", "Multiply: -42 * (59/6) = -413", "Add: -413 + 81 = -332"], "final_answer": "-332", "answer_type": "integer", "kind": "expression", "math_text": "-42 * ((112 - (-6)) / 12) + 81", "variable": null, "family": "expression_4op", "shape": "(+ (* n (/ (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": 112, \"c\": -6, \"d\": 12, \"e\": 81}", "seed": "12814711457274285179", "semantic_fingerprint": "sha256:a0fc0e231870b9b1ef97c9c85a9f240bd16ab8492291b480a0056f8b669f4699", "generator_version": "3.0"}
{"id": "v3_test_id_00001692", "prompt": "Compute: (36 - (-23) / 8) * (484 - (-17))", "solution_steps": ["Divide: -23 / 8 = -23/8", "Subtract: 36 - (-23/8) = 311/8", "Subtract: 484 - (-17) = 501", "Multiply: (311/8) * 501 = 155811/8"], "final_answer": "155811/8", "answer_type": "rational", "kind": "expression", "math_text": "(36 - (-23) / 8) * (484 - (-17))", "variable": null, "family": "expression_4op", "shape": "(* (- n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": -23, \"c\": 8, \"d\": 484, \"e\": -17}", "seed": "3186396653914903103", "semantic_fingerprint": "sha256:37579297ce5eabdd667d980dac72e2b7066c3eada0a3c7935955fc2f898159e1", "generator_version": "3.0"}
{"id": "v3_test_id_00001693", "prompt": "Calculate: -80 + 3 / 13 - (-922) + (-6)", "solution_steps": ["Divide: 3 / 13 = 3/13", "Add: -80 + 3/13 = -1037/13", "Subtract: -1037/13 - (-922) = 10949/13", "Add: 10949/13 + (-6) = 10871/13"], "final_answer": "10871/13", "answer_type": "rational", "kind": "expression", "math_text": "-80 + 3 / 13 - (-922) + (-6)", "variable": null, "family": "expression_4op", "shape": "(+ (- (+ n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": 3, \"c\": 13, \"d\": -922, \"e\": -6}", "seed": "1869641187757335504", "semantic_fingerprint": "sha256:9badfe7f058d64a1f66fdb2e4a1531e5d2d731fa2fee6ac79efe9a4903b80760", "generator_version": "3.0"}
{"id": "v3_test_id_00001694", "prompt": "What is (-4 + (-45)) * 729?", "solution_steps": ["Add: -4 + (-45) = -49", "Multiply: -49 * 729 = -35721"], "final_answer": "-35721", "answer_type": "integer", "kind": "expression", "math_text": "(-4 + (-45)) * 729", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -45, \"c\": 729}", "seed": "11141544460042207065", "semantic_fingerprint": "sha256:5a909a3b7e7dad1883592c6508ec911453f09ac846958552d74c79d11a7da415", "generator_version": "3.0"}
{"id": "v3_test_id_00001695", "prompt": "Evaluate: -2 / (-888) + (-197)", "solution_steps": ["Divide: -2 / (-888) = 1/444", "Add: 1/444 + (-197) = -87467/444"], "final_answer": "-87467/444", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-888) + (-197)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -888, \"c\": -197}", "seed": "2972031973617313332", "semantic_fingerprint": "sha256:71deba1dedfe12b8ae76a25335fc9f614fd1a2216ae6222f72ac36332798e1b7", "generator_version": "3.0"}
{"id": "v3_test_id_00001696", "prompt": "Evaluate: -56 + (-3) + (-7) + (-36) - 1", "solution_steps": ["Add: -56 + (-3) = -59", "Add: -59 + (-7) = -66", "Add: -66 + (-36) = -102", "Subtract: -102 - 1 = -103"], "final_answer": "-103", "answer_type": "integer", "kind": "expression", "math_text": "-56 + (-3) + (-7) + (-36) - 1", "variable": null, "family": "expression_4op", "shape": "(- (+ (+ (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": -3, \"c\": -7, \"d\": -36, \"e\": 1}", "seed": "3201513451514987871", "semantic_fingerprint": "sha256:9f293568ec5d11c379378924a9f146944a8da6daab7f5f3b8df960eb03010c4d", "generator_version": "3.0"}
{"id": "v3_test_id_00001697", "prompt": "Evaluate: 7 * 781", "solution_steps": ["Multiply: 7 * 781 = 5467"], "final_answer": "5467", "answer_type": "integer", "kind": "expression", "math_text": "7 * 781", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 781}", "seed": "12694105602794415972", "semantic_fingerprint": "sha256:0b5ad850555afc4a1a6eb725afbb56abebe2ad916c58a9f4f6100f949d7e1967", "generator_version": "3.0"}
{"id": "v3_test_id_00001698", "prompt": "Solve for x: 5(x + 1) + 45 = 10x", "solution_steps": ["Expand: 5x + 5 + 45 = 10x", "Combine constants: 5x + 50 = 10x", "Subtract 10x from both sides: -5x + 50 = 0", "Subtract 50 from both sides: -5x = -50", "Divide both sides by -5: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 1) + 45 = 10x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 1, \"c\": 10, \"e\": 45, \"x\": 10}", "seed": "18162595215480883411", "semantic_fingerprint": "sha256:967e1cd66d75bc7555e486222c17d6e2f24c248f1c38e477a19dee7a78b65f12", "generator_version": "3.0"}
{"id": "v3_test_id_00001699", "prompt": "Find x: 5x = x + 95", "solution_steps": ["Subtract x from both sides: 4x = 95", "Divide both sides by 4: x = 95/4"], "final_answer": "95/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x = x + 95", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 95}", "seed": "15630591420862312364", "semantic_fingerprint": "sha256:26d790d48d0ba462c8c53201783f6258fd74f3d820871c9f95336b1985d07234", "generator_version": "3.0"}
{"id": "v3_test_id_00001700", "prompt": "Evaluate: 940 - (-2) - 13 + 0", "solution_steps": ["Subtract: 940 - (-2) = 942", "Subtract: 942 - 13 = 929", "Add: 929 + 0 = 929"], "final_answer": "929", "answer_type": "integer", "kind": "expression", "math_text": "940 - (-2) - 13 + 0", "variable": null, "family": "expression_3op", "shape": "(+ (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 940, \"b\": -2, \"c\": 13, \"d\": 0}", "seed": "9983103159289401429", "semantic_fingerprint": "sha256:bb57cdd8c7b81cf1f8b23d76bc2afd4a1e569b895d386e85fde6b0f47bd0ed63", "generator_version": "3.0"}
{"id": "v3_test_id_00001701", "prompt": "Compute: -798 - 721 * 7", "solution_steps": ["Multiply: 721 * 7 = 5047", "Subtract: -798 - 5047 = -5845"], "final_answer": "-5845", "answer_type": "integer", "kind": "expression", "math_text": "-798 - 721 * 7", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -798, \"b\": 721, \"c\": 7}", "seed": "16738588422372291695", "semantic_fingerprint": "sha256:baa3e1d0a721ed2fabbe1a59283ddae317f80270821721e4a80296869be24d9f", "generator_version": "3.0"}
{"id": "v3_test_id_00001702", "prompt": "Compute: -909 / (-355) * 1 * (-7) + (-113)", "solution_steps": ["Divide: -909 / (-355) = 909/355", "Multiply: (909/355) * 1 = 909/355", "Multiply: (909/355) * (-7) = -6363/355", "Add: -6363/355 + (-113) = -46478/355"], "final_answer": "-46478/355", "answer_type": "rational", "kind": "expression", "math_text": "-909 / (-355) * 1 * (-7) + (-113)", "variable": null, "family": "expression_4op", "shape": "(+ (* (* (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -909, \"b\": -355, \"c\": 1, \"d\": -7, \"e\": -113}", "seed": "16475995448632553282", "semantic_fingerprint": "sha256:bc9cb9efd75f33653fc6d2b2ad6a606824830a89f711701d3579d3dca6dc3a3e", "generator_version": "3.0"}
{"id": "v3_test_id_00001703", "prompt": "Calculate: 279 / (-964 / (-18))", "solution_steps": ["Divide: -964 / (-18) = 482/9", "Divide: 279 / (482/9) = 2511/482"], "final_answer": "2511/482", "answer_type": "rational", "kind": "expression", "math_text": "279 / (-964 / (-18))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 279, \"b\": -964, \"c\": -18}", "seed": "5393881108028862976", "semantic_fingerprint": "sha256:aacf573c2e1b677dffd8017e3fc3e3b17e81180432b56cb69f6e613cca1b21b4", "generator_version": "3.0"}
{"id": "v3_test_id_00001704", "prompt": "Evaluate: -844 - (-68 - (-6) + 15)", "solution_steps": ["Subtract: -68 - (-6) = -62", "Add: -62 + 15 = -47", "Subtract: -844 - (-47) = -797"], "final_answer": "-797", "answer_type": "integer", "kind": "expression", "math_text": "-844 - (-68 - (-6) + 15)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -844, \"b\": -68, \"c\": -6, \"d\": 15}", "seed": "4583321123454033803", "semantic_fingerprint": "sha256:e4e549f7008af7591c6b0a98bfb3a061c592d3c3e2680b98b631f1347af86568", "generator_version": "3.0"}
{"id": "v3_test_id_00001705", "prompt": "Solve the equation 9(x + 9) + 22 = 6(x + 12) + 7 for x.", "solution_steps": ["Expand: 9x + 81 + 22 = 6(x + 12) + 7", "Expand: 9x + 81 + 22 = 6x + 72 + 7", "Combine constants: 9x + 103 = 6x + 72 + 7", "Combine constants: 9x + 103 = 6x + 79", "Subtract 6x from both sides: 3x + 103 = 79", "Subtract 103 from both sides: 3x = -24", "Divide both sides by 3: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 9) + 22 = 6(x + 12) + 7", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": 22, \"d\": 6, \"e\": 12, \"g\": 7, \"x\": -8}", "seed": "8515582273702915971", "semantic_fingerprint": "sha256:445502afea94430c699ccbe99b8bed8ff1768f901e846ac64a486c1363a9441c", "generator_version": "3.0"}
{"id": "v3_test_id_00001706", "prompt": "What is -657 - (-3 - 2)?", "solution_steps": ["Subtract: -3 - 2 = -5", "Subtract: -657 - (-5) = -652"], "final_answer": "-652", "answer_type": "integer", "kind": "expression", "math_text": "-657 - (-3 - 2)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -657, \"b\": -3, \"c\": 2}", "seed": "17065215056078732861", "semantic_fingerprint": "sha256:c94e24cdf4d070d8d6a36d0d0ec5c0f7ea9135a6617ebd8aa4ef8c30c1252076", "generator_version": "3.0"}
{"id": "v3_test_id_00001707", "prompt": "Compute: 57 / (-4 - 9 / (-93) * (-39 * (-85)))", "solution_steps": ["Divide: 9 / (-93) = -3/31", "Multiply: -39 * (-85) = 3315", "Multiply: (-3/31) * 3315 = -9945/31", "Subtract: -4 - (-9945/31) = 9821/31", "Divide: 57 / (9821/31) = 1767/9821"], "final_answer": "1767/9821", "answer_type": "rational", "kind": "expression", "math_text": "57 / (-4 - 9 / (-93) * (-39 * (-85)))", "variable": null, "family": "expression_5op", "shape": "(/ n (- n (* (/ n n) (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": -4, \"c\": 9, \"d\": -93, \"e\": -39, \"f\": -85}", "seed": "13589116194189999120", "semantic_fingerprint": "sha256:50e90c0528646f78277853c8c905948ee50057a6735d78f3ed6cf10d83ddd590", "generator_version": "3.0"}
{"id": "v3_test_id_00001708", "prompt": "What is -633 - (-27 + (-85))?", "solution_steps": ["Add: -27 + (-85) = -112", "Subtract: -633 - (-112) = -521"], "final_answer": "-521", "answer_type": "integer", "kind": "expression", "math_text": "-633 - (-27 + (-85))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -633, \"b\": -27, \"c\": -85}", "seed": "13304069198671567705", "semantic_fingerprint": "sha256:ae21c952bcce2735d440428aa959eede1ce0d1070e33b5835505691eaab94d6f", "generator_version": "3.0"}
{"id": "v3_test_id_00001709", "prompt": "Calculate: -73 / (-773)", "solution_steps": ["Divide: -73 / (-773) = 73/773"], "final_answer": "73/773", "answer_type": "rational", "kind": "expression", "math_text": "-73 / (-773)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": -773}", "seed": "10764531624003478150", "semantic_fingerprint": "sha256:e94b03b1a4f85fd82ce4fbd9511503b94ff17cd7ffd0743cd49209a8efbbafd2", "generator_version": "3.0"}
{"id": "v3_test_id_00001710", "prompt": "Calculate: 6 + (-33) + 117", "solution_steps": ["Add: 6 + (-33) = -27", "Add: -27 + 117 = 90"], "final_answer": "90", "answer_type": "integer", "kind": "expression", "math_text": "6 + (-33) + 117", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -33, \"c\": 117}", "seed": "677082938844416196", "semantic_fingerprint": "sha256:74d8bb9c6b7cece3a2dc810f8187c9a3233a6521a00099f2b26018cf608f0687", "generator_version": "3.0"}
{"id": "v3_test_id_00001711", "prompt": "What is -897 + (-91 - 10)?", "solution_steps": ["Subtract: -91 - 10 = -101", "Add: -897 + (-101) = -998"], "final_answer": "-998", "answer_type": "integer", "kind": "expression", "math_text": "-897 + (-91 - 10)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -897, \"b\": -91, \"c\": 10}", "seed": "2107783322807458612", "semantic_fingerprint": "sha256:41272a446548cd813c0049ea39d1ecef918f7929ac7c06a887bb97beba0159ba", "generator_version": "3.0"}
{"id": "v3_test_id_00001712", "prompt": "Solve for x: 12(x + 12) = -8(x + 9) + 116", "solution_steps": ["Expand: 12x + 144 = -8(x + 9) + 116", "Expand: 12x + 144 = -8x - 72 + 116", "Combine constants: 12x + 144 = -8x + 44", "Add 8x to both sides: 20x + 144 = 44", "Subtract 144 from both sides: 20x = -100", "Divide both sides by 20: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 12) = -8(x + 9) + 116", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 12, \"c\": -8, \"d\": 9, \"f\": 116, \"x\": -5}", "seed": "11343605854429505725", "semantic_fingerprint": "sha256:02ea4430434733cf4c7d2b6951a849e7f6babbd11ba1ad49270d9ec7d07db838", "generator_version": "3.0"}
{"id": "v3_test_id_00001713", "prompt": "Compute: 32 + (626 - (-8))", "solution_steps": ["Subtract: 626 - (-8) = 634", "Add: 32 + 634 = 666"], "final_answer": "666", "answer_type": "integer", "kind": "expression", "math_text": "32 + (626 - (-8))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": 626, \"c\": -8}", "seed": "1304066153390872616", "semantic_fingerprint": "sha256:438d7ead4f1a41b1962c0955580ae6666bb4df7e0e522799547507420b389478", "generator_version": "3.0"}
{"id": "v3_test_id_00001714", "prompt": "Calculate: 79 + (57 + (-6))", "solution_steps": ["Add: 57 + (-6) = 51", "Add: 79 + 51 = 130"], "final_answer": "130", "answer_type": "integer", "kind": "expression", "math_text": "79 + (57 + (-6))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": 57, \"c\": -6}", "seed": "2756909294932685026", "semantic_fingerprint": "sha256:e74d13799d81cde0cc8cd875fc45ad71dfc79c9d4013d6e00a2731c39bb00f20", "generator_version": "3.0"}
{"id": "v3_test_id_00001715", "prompt": "Evaluate: 612 * (-7 * (7 + (-27) / 7))", "solution_steps": ["Divide: -27 / 7 = -27/7", "Add: 7 + (-27/7) = 22/7", "Multiply: -7 * (22/7) = -22", "Multiply: 612 * (-22) = -13464"], "final_answer": "-13464", "answer_type": "integer", "kind": "expression", "math_text": "612 * (-7 * (7 + (-27) / 7))", "variable": null, "family": "expression_4op", "shape": "(* n (* n (+ n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 612, \"b\": -7, \"c\": 7, \"d\": -27, \"e\": 7}", "seed": "14474744684842111362", "semantic_fingerprint": "sha256:f86933950f16d28cd8e9c685a4565bf59e427f3216ccd2e1bb3a5bb4877f7637", "generator_version": "3.0"}
{"id": "v3_test_id_00001716", "prompt": "Compute: 352 - (-4) * (0 * (-48))", "solution_steps": ["Multiply: 0 * (-48) = 0", "Multiply: -4 * 0 = 0", "Subtract: 352 - 0 = 352"], "final_answer": "352", "answer_type": "integer", "kind": "expression", "math_text": "352 - (-4) * (0 * (-48))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 352, \"b\": -4, \"c\": 0, \"d\": -48}", "seed": "9716618303452750365", "semantic_fingerprint": "sha256:f9deb9b051c891b0901c68d9d956c8e206a3f0fea5462b47102097a88be7475b", "generator_version": "3.0"}
{"id": "v3_test_id_00001717", "prompt": "Compute: 67 * 6", "solution_steps": ["Multiply: 67 * 6 = 402"], "final_answer": "402", "answer_type": "integer", "kind": "expression", "math_text": "67 * 6", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": 6}", "seed": "17840251761243363128", "semantic_fingerprint": "sha256:f009929c670e05f529ee4c6353b6ffaa3e9c28dbc4960cce995979d9c49b286b", "generator_version": "3.0"}
{"id": "v3_test_id_00001718", "prompt": "Compute: (-11 / (-3) - 24 / (-1)) / (-1)", "solution_steps": ["Divide: -11 / (-3) = 11/3", "Divide: 24 / (-1) = -24", "Subtract: 11/3 - (-24) = 83/3", "Divide: (83/3) / (-1) = -83/3"], "final_answer": "-83/3", "answer_type": "rational", "kind": "expression", "math_text": "(-11 / (-3) - 24 / (-1)) / (-1)", "variable": null, "family": "expression_4op", "shape": "(/ (- (/ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": -3, \"c\": 24, \"d\": -1, \"e\": -1}", "seed": "15324548622352107989", "semantic_fingerprint": "sha256:1abce1d719e8a2947a2fed73b03d3ae221fe9661ac7526e10b1993680826ffdf", "generator_version": "3.0"}
{"id": "v3_test_id_00001719", "prompt": "What value of x satisfies 3(x - 16) = 12x?", "solution_steps": ["Expand: 3x - 48 = 12x", "Subtract 12x from both sides: -9x - 48 = 0", "Add 48 to both sides: -9x = 48", "Divide both sides by -9: x = -16/3"], "final_answer": "-16/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 16) = 12x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 16, \"c\": 12}", "seed": "17804563455323553184", "semantic_fingerprint": "sha256:927a8455ec8950c671a82cfb81f2fc23aeed3a70f0c4453d35e5f7a6b485612a", "generator_version": "3.0"}
{"id": "v3_test_id_00001720", "prompt": "Evaluate: 318 * 8 * 8", "solution_steps": ["Multiply: 318 * 8 = 2544", "Multiply: 2544 * 8 = 20352"], "final_answer": "20352", "answer_type": "integer", "kind": "expression", "math_text": "318 * 8 * 8", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 318, \"b\": 8, \"c\": 8}", "seed": "17857041582696825429", "semantic_fingerprint": "sha256:44f887723c4260c902ee46bf065bd0764b76f6305d5c45298f7728822305be5e", "generator_version": "3.0"}
{"id": "v3_test_id_00001721", "prompt": "Solve for x: 2(x + 35) = 8x + 50", "solution_steps": ["Expand: 2x + 70 = 8x + 50", "Subtract 8x from both sides: -6x + 70 = 50", "Subtract 70 from both sides: -6x = -20", "Divide both sides by -6: x = 10/3"], "final_answer": "10/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 35) = 8x + 50", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 35, \"c\": 8, \"d\": 50}", "seed": "16332300343822683819", "semantic_fingerprint": "sha256:21fef9c8897fb673e51e1d0f8638e1a012ce86d245707a5ad933cf0b7c84d0b4", "generator_version": "3.0"}
{"id": "v3_test_id_00001722", "prompt": "Solve the equation 6(x - 80) - 6 = x - 526 for x.", "solution_steps": ["Expand: 6x - 480 - 6 = x - 526", "Combine constants: 6x - 486 = x - 526", "Subtract x from both sides: 5x - 486 = -526", "Add 486 to both sides: 5x = -40", "Divide both sides by 5: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 80) - 6 = x - 526", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 80, \"c\": 6, \"e\": -526, \"x\": -8}", "seed": "8977199251162517894", "semantic_fingerprint": "sha256:12c86751165df084db1f62197fb5e782283a89b096b66e68530df56f544054b8", "generator_version": "3.0"}
{"id": "v3_test_id_00001723", "prompt": "Compute: 4 / 624 - (-24) - (69 * 57 + 94)", "solution_steps": ["Divide: 4 / 624 = 1/156", "Subtract: 1/156 - (-24) = 3745/156", "Multiply: 69 * 57 = 3933", "Add: 3933 + 94 = 4027", "Subtract: 3745/156 - 4027 = -624467/156"], "final_answer": "-624467/156", "answer_type": "rational", "kind": "expression", "math_text": "4 / 624 - (-24) - (69 * 57 + 94)", "variable": null, "family": "expression_5op", "shape": "(- (- (/ n n) n) (+ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 624, \"c\": -24, \"d\": 69, \"e\": 57, \"f\": 94}", "seed": "6596470589840607631", "semantic_fingerprint": "sha256:bff59346bf998b796d94931220a7f5b34c3d345ae6780a48c30a2488fe46de0a", "generator_version": "3.0"}
{"id": "v3_test_id_00001724", "prompt": "Evaluate: 842 * (6 + (-3))", "solution_steps": ["Add: 6 + (-3) = 3", "Multiply: 842 * 3 = 2526"], "final_answer": "2526", "answer_type": "integer", "kind": "expression", "math_text": "842 * (6 + (-3))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 842, \"b\": 6, \"c\": -3}", "seed": "4206532612319848751", "semantic_fingerprint": "sha256:683fa5b62069f8affdc986c7a676a7d97dac7cf11578545e1263885f978ffc54", "generator_version": "3.0"}
{"id": "v3_test_id_00001725", "prompt": "Evaluate: -689 - 0", "solution_steps": ["Subtract: -689 - 0 = -689"], "final_answer": "-689", "answer_type": "integer", "kind": "expression", "math_text": "-689 - 0", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -689, \"b\": 0}", "seed": "13662424317586843559", "semantic_fingerprint": "sha256:aec3b6fa50bbf71ba2414c2d71155ddf951d310082646b755b17d65db05d653f", "generator_version": "3.0"}
{"id": "v3_test_id_00001726", "prompt": "Calculate: -977 * (-95) - 209", "solution_steps": ["Multiply: -977 * (-95) = 92815", "Subtract: 92815 - 209 = 92606"], "final_answer": "92606", "answer_type": "integer", "kind": "expression", "math_text": "-977 * (-95) - 209", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -977, \"b\": -95, \"c\": 209}", "seed": "8899872676361144595", "semantic_fingerprint": "sha256:2c771e377876556aa469238233c7a7732205e341d2ec88a824dcde018bb43638", "generator_version": "3.0"}
{"id": "v3_test_id_00001727", "prompt": "What is 4 * (88 * 13)?", "solution_steps": ["Multiply: 88 * 13 = 1144", "Multiply: 4 * 1144 = 4576"], "final_answer": "4576", "answer_type": "integer", "kind": "expression", "math_text": "4 * (88 * 13)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 88, \"c\": 13}", "seed": "13131334067257115621", "semantic_fingerprint": "sha256:c33888455e49da20e35967beed22d5920b8d3f48d99acff77e4e8fe25a21be53", "generator_version": "3.0"}
{"id": "v3_test_id_00001728", "prompt": "Evaluate: -3 - (-920) - 0 - (-83)", "solution_steps": ["Subtract: -3 - (-920) = 917", "Subtract: 917 - 0 = 917", "Subtract: 917 - (-83) = 1000"], "final_answer": "1000", "answer_type": "integer", "kind": "expression", "math_text": "-3 - (-920) - 0 - (-83)", "variable": null, "family": "expression_3op", "shape": "(- (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -920, \"c\": 0, \"d\": -83}", "seed": "16739239462876684131", "semantic_fingerprint": "sha256:8d0efe3cc0836a1ec9f60df80134eb4ac98b55afe278c27c36739fc48f05dd6a", "generator_version": "3.0"}
{"id": "v3_test_id_00001729", "prompt": "Calculate: (-4 - (-644)) / (4 / 5)", "solution_steps": ["Subtract: -4 - (-644) = 640", "Divide: 4 / 5 = 4/5", "Divide: 640 / (4/5) = 800"], "final_answer": "800", "answer_type": "integer", "kind": "expression", "math_text": "(-4 - (-644)) / (4 / 5)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -644, \"c\": 4, \"d\": 5}", "seed": "15762784524553829360", "semantic_fingerprint": "sha256:8f4460a40e5caca5056f84c0f2f67e2d63ae866e5822212f85eb257f9e4a930d", "generator_version": "3.0"}
{"id": "v3_test_id_00001730", "prompt": "What value of x satisfies x = 6(x + 1) + 69?", "solution_steps": ["Expand: x = 6x + 6 + 69", "Combine constants: x = 6x + 75", "Subtract 6x from both sides: -5x = 75", "Divide both sides by -5: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 6(x + 1) + 69", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 1, \"d\": 69, \"x\": -15}", "seed": "3261396689439240842", "semantic_fingerprint": "sha256:7636ddf45d5d30ddacad8dc80c89d6c4a77014c94f0a736ac993e12d9f4adf6a", "generator_version": "3.0"}
{"id": "v3_test_id_00001731", "prompt": "What is 14 / (-454)?", "solution_steps": ["Divide: 14 / (-454) = -7/227"], "final_answer": "-7/227", "answer_type": "rational", "kind": "expression", "math_text": "14 / (-454)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": -454}", "seed": "4545221231125925800", "semantic_fingerprint": "sha256:16a4d17643c73c304e5d31b44f022135df1fe7cd02263631ea7771809782ac07", "generator_version": "3.0"}
{"id": "v3_test_id_00001732", "prompt": "What is -87 + 4 / (-5)?", "solution_steps": ["Divide: 4 / (-5) = -4/5", "Add: -87 + (-4/5) = -439/5"], "final_answer": "-439/5", "answer_type": "rational", "kind": "expression", "math_text": "-87 + 4 / (-5)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": 4, \"c\": -5}", "seed": "13835435311823508208", "semantic_fingerprint": "sha256:bfd8fb75f2932e143a4a7fbaf87b96614d5f26315b12c5d60cc768b692622e39", "generator_version": "3.0"}
{"id": "v3_test_id_00001733", "prompt": "What value of x satisfies 9x + 857 = 12(x + 5) + 755?", "solution_steps": ["Expand: 9x + 857 = 12x + 60 + 755", "Combine constants: 9x + 857 = 12x + 815", "Subtract 12x from both sides: -3x + 857 = 815", "Subtract 857 from both sides: -3x = -42", "Divide both sides by -3: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x + 857 = 12(x + 5) + 755", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 857, \"c\": 12, \"d\": 5, \"f\": 755, \"x\": 14}", "seed": "4411640986472892769", "semantic_fingerprint": "sha256:a4b1c70fdeff475e95b0f5dd92d50be3581105656111c7c46c60e995d9959bc0", "generator_version": "3.0"}
{"id": "v3_test_id_00001734", "prompt": "Calculate: -627 / 51", "solution_steps": ["Divide: -627 / 51 = -209/17"], "final_answer": "-209/17", "answer_type": "rational", "kind": "expression", "math_text": "-627 / 51", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -627, \"b\": 51}", "seed": "11978673468541565616", "semantic_fingerprint": "sha256:7838bdc4eb67ac974198d12f2858b4877888b2ea367cfb5e83f2671c69f6d1f8", "generator_version": "3.0"}
{"id": "v3_test_id_00001735", "prompt": "Solve the equation 2(x + 955) - 41 = 8(x - 2) for x.", "solution_steps": ["Expand: 2x + 1910 - 41 = 8(x - 2)", "Expand: 2x + 1910 - 41 = 8x - 16", "Combine constants: 2x + 1869 = 8x - 16", "Subtract 8x from both sides: -6x + 1869 = -16", "Subtract 1869 from both sides: -6x = -1885", "Divide both sides by -6: x = 1885/6"], "final_answer": "1885/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 955) - 41 = 8(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\": 955, \"c\": 41, \"d\": 8, \"e\": 2}", "seed": "16221139413382753100", "semantic_fingerprint": "sha256:5bbd6e6269f2c650378916c5461adbd6d01410de9bfed57faaa776545a030f55", "generator_version": "3.0"}
{"id": "v3_test_id_00001736", "prompt": "Evaluate: -88 + 5", "solution_steps": ["Add: -88 + 5 = -83"], "final_answer": "-83", "answer_type": "integer", "kind": "expression", "math_text": "-88 + 5", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": 5}", "seed": "14743450169218104438", "semantic_fingerprint": "sha256:400b6b8a345a7850ace585e99313d26761761ba63ba2861c862be864fb133d87", "generator_version": "3.0"}
{"id": "v3_test_id_00001737", "prompt": "What value of x satisfies -12(x - 1) - 26 = -94?", "solution_steps": ["Expand: -12x + 12 - 26 = -94", "Combine constants: -12x - 14 = -94", "Add 14 to both sides: -12x = -80", "Divide both sides by -12: x = 20/3"], "final_answer": "20/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x - 1) - 26 = -94", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 1, \"c\": 26, \"d\": -94}", "seed": "763651846613890532", "semantic_fingerprint": "sha256:2736e0fd05cab836402dfad00c5537f823309c24119a5984c5f40a494da905de", "generator_version": "3.0"}
{"id": "v3_test_id_00001738", "prompt": "What is (8 - 48 * 4) * (-500 / (86 + 9))?", "solution_steps": ["Multiply: 48 * 4 = 192", "Subtract: 8 - 192 = -184", "Add: 86 + 9 = 95", "Divide: -500 / 95 = -100/19", "Multiply: -184 * (-100/19) = 18400/19"], "final_answer": "18400/19", "answer_type": "rational", "kind": "expression", "math_text": "(8 - 48 * 4) * (-500 / (86 + 9))", "variable": null, "family": "expression_5op", "shape": "(* (- n (* n n)) (/ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 48, \"c\": 4, \"d\": -500, \"e\": 86, \"f\": 9}", "seed": "3995976705736330161", "semantic_fingerprint": "sha256:e4ec5894a6e93f4754df86ae71309bcf7393bc0b09e08dc4c0b871e35f0dfd27", "generator_version": "3.0"}
{"id": "v3_test_id_00001739", "prompt": "Calculate: -1 * (-9)", "solution_steps": ["Multiply: -1 * (-9) = 9"], "final_answer": "9", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (-9)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -9}", "seed": "3389125658076577346", "semantic_fingerprint": "sha256:56320f7d384d878435e505587f952fcf8353faea4d0dcd4981444b93778f2668", "generator_version": "3.0"}
{"id": "v3_test_id_00001740", "prompt": "What is (-32 - 4) * (2 + (-9))?", "solution_steps": ["Subtract: -32 - 4 = -36", "Add: 2 + (-9) = -7", "Multiply: -36 * (-7) = 252"], "final_answer": "252", "answer_type": "integer", "kind": "expression", "math_text": "(-32 - 4) * (2 + (-9))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": 4, \"c\": 2, \"d\": -9}", "seed": "4946609608951052832", "semantic_fingerprint": "sha256:7f83c7405fdf2cf586505326f95b4d232d06d402e5ad988e045fef45fe46886c", "generator_version": "3.0"}
{"id": "v3_test_id_00001741", "prompt": "Solve the equation 4(x + 2) + 4 = 2(x + 3) + 42 for x.", "solution_steps": ["Expand: 4x + 8 + 4 = 2(x + 3) + 42", "Expand: 4x + 8 + 4 = 2x + 6 + 42", "Combine constants: 4x + 12 = 2x + 6 + 42", "Combine constants: 4x + 12 = 2x + 48", "Subtract 2x from both sides: 2x + 12 = 48", "Subtract 12 from both sides: 2x = 36", "Divide both sides by 2: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 2) + 4 = 2(x + 3) + 42", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 2, \"c\": 4, \"d\": 2, \"e\": 3, \"g\": 42, \"x\": 18}", "seed": "2438877848498963725", "semantic_fingerprint": "sha256:220a979868cae396493d7de4d7cd4c80af06656fb564a76b3b6b4e9a5ac0bfaf", "generator_version": "3.0"}
{"id": "v3_test_id_00001742", "prompt": "Compute: 28 - (-61) + (-69)", "solution_steps": ["Subtract: 28 - (-61) = 89", "Add: 89 + (-69) = 20"], "final_answer": "20", "answer_type": "integer", "kind": "expression", "math_text": "28 - (-61) + (-69)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": -61, \"c\": -69}", "seed": "2581255825439639946", "semantic_fingerprint": "sha256:62efeea4cded1c05189f825f968b2f6a437661f0fc244c8c43a5e87a5a716722", "generator_version": "3.0"}
{"id": "v3_test_id_00001743", "prompt": "What value of x satisfies 11x - 921 = 781?", "solution_steps": ["Add 921 to both sides: 11x = 1702", "Divide both sides by 11: x = 1702/11"], "final_answer": "1702/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x - 921 = 781", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 921, \"c\": 781}", "seed": "8345655904998844317", "semantic_fingerprint": "sha256:ff4a408384060e9e1851646fd63bc3a7ecc0379b3088f22fcdad8b7532e883f4", "generator_version": "3.0"}
{"id": "v3_test_id_00001744", "prompt": "Calculate: 4 * 217 / (-6)", "solution_steps": ["Multiply: 4 * 217 = 868", "Divide: 868 / (-6) = -434/3"], "final_answer": "-434/3", "answer_type": "rational", "kind": "expression", "math_text": "4 * 217 / (-6)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 217, \"c\": -6}", "seed": "1630086738035868893", "semantic_fingerprint": "sha256:9b709ce6a77ea390710e0fac755768a0d7c98e6f132fece95fedc3381669243c", "generator_version": "3.0"}
{"id": "v3_test_id_00001745", "prompt": "Calculate: 19 / (-9)", "solution_steps": ["Divide: 19 / (-9) = -19/9"], "final_answer": "-19/9", "answer_type": "rational", "kind": "expression", "math_text": "19 / (-9)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": -9}", "seed": "8103716255854489629", "semantic_fingerprint": "sha256:192a6b65df8b57fbebd2f144984a8225aae13d601aa9367d1ddc3d9508c278a7", "generator_version": "3.0"}
{"id": "v3_test_id_00001746", "prompt": "Solve the equation 4(x + 9) = 3x + 22 for x.", "solution_steps": ["Expand: 4x + 36 = 3x + 22", "Subtract 3x from both sides: x + 36 = 22", "Subtract 36 from both sides: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 9) = 3x + 22", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 3, \"e\": 22, \"x\": -14}", "seed": "16561758882530853", "semantic_fingerprint": "sha256:34804daca79c29dc8b5ac7a31adbb7dfb76382c5497d0d66986ace3e71c06203", "generator_version": "3.0"}
{"id": "v3_test_id_00001747", "prompt": "Solve the equation -6x = 10x for x.", "solution_steps": ["Subtract 10x from both sides: -16x = 0", "Divide both sides by -16: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x = 10x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 10}", "seed": "13353905741905903438", "semantic_fingerprint": "sha256:5fd9828f17dfaca558fd8e946c28a4bc96f1e58517b14bff510e1d7607549164", "generator_version": "3.0"}
{"id": "v3_test_id_00001748", "prompt": "Calculate: -143 * 0 - 58", "solution_steps": ["Multiply: -143 * 0 = 0", "Subtract: 0 - 58 = -58"], "final_answer": "-58", "answer_type": "integer", "kind": "expression", "math_text": "-143 * 0 - 58", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -143, \"b\": 0, \"c\": 58}", "seed": "13801582748939164438", "semantic_fingerprint": "sha256:18c4bb2627c28449de313715001162fce73423996a012589eb61b92bb290a919", "generator_version": "3.0"}
{"id": "v3_test_id_00001749", "prompt": "Compute: (0 + (-85 * (-96) + 824)) / 1", "solution_steps": ["Multiply: -85 * (-96) = 8160", "Add: 8160 + 824 = 8984", "Add: 0 + 8984 = 8984", "Divide: 8984 / 1 = 8984"], "final_answer": "8984", "answer_type": "integer", "kind": "expression", "math_text": "(0 + (-85 * (-96) + 824)) / 1", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (+ (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -85, \"c\": -96, \"d\": 824, \"e\": 1}", "seed": "3453877025980546056", "semantic_fingerprint": "sha256:2d5519740eea6b91e679898ad23fe47dfff1b46d5b677f14ab984a61163827ce", "generator_version": "3.0"}
{"id": "v3_test_id_00001750", "prompt": "What is (82 + 60) * (0 * (-23) * 22 / (-290))?", "solution_steps": ["Add: 82 + 60 = 142", "Multiply: 0 * (-23) = 0", "Multiply: 0 * 22 = 0", "Divide: 0 / (-290) = 0", "Multiply: 142 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(82 + 60) * (0 * (-23) * 22 / (-290))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (/ (* (* n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": 60, \"c\": 0, \"d\": -23, \"e\": 22, \"f\": -290}", "seed": "11017965379707038168", "semantic_fingerprint": "sha256:d467c501f701f1cd2dcec232540a89ca10ac5a0a34a9521f0cf73013f0a27ba4", "generator_version": "3.0"}
{"id": "v3_test_id_00001751", "prompt": "Calculate: (-9 + (-8 + (-79))) * 3", "solution_steps": ["Add: -8 + (-79) = -87", "Add: -9 + (-87) = -96", "Multiply: -96 * 3 = -288"], "final_answer": "-288", "answer_type": "integer", "kind": "expression", "math_text": "(-9 + (-8 + (-79))) * 3", "variable": null, "family": "expression_3op", "shape": "(* (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -8, \"c\": -79, \"d\": 3}", "seed": "4404649958787394947", "semantic_fingerprint": "sha256:f1cbef2d2b5c3050c1a2ee4c4c9cd6eb23395a50bda2f9101d01083b16ea66b0", "generator_version": "3.0"}
{"id": "v3_test_id_00001752", "prompt": "Compute: -2 * (-8)", "solution_steps": ["Multiply: -2 * (-8) = 16"], "final_answer": "16", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (-8)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -8}", "seed": "13182306307074207268", "semantic_fingerprint": "sha256:810126b30fea7c8e3fc23c246e3ce4bd528090511bdaf82126d4f432e7a2f5a6", "generator_version": "3.0"}
{"id": "v3_test_id_00001753", "prompt": "Find x: 12x - 143 = x", "solution_steps": ["Subtract x from both sides: 11x - 143 = 0", "Add 143 to both sides: 11x = 143", "Divide both sides by 11: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 143 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"c\": -143, \"x\": 13}", "seed": "18034167924647686375", "semantic_fingerprint": "sha256:3f96b07825c30f2f75180651cee92c432b0b72ff32e1db71fa1714867346ab87", "generator_version": "3.0"}
{"id": "v3_test_id_00001754", "prompt": "Compute: 40 + (-83 + (845 + (-2)))", "solution_steps": ["Add: 845 + (-2) = 843", "Add: -83 + 843 = 760", "Add: 40 + 760 = 800"], "final_answer": "800", "answer_type": "integer", "kind": "expression", "math_text": "40 + (-83 + (845 + (-2)))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": -83, \"c\": 845, \"d\": -2}", "seed": "2772446223119812602", "semantic_fingerprint": "sha256:0c10b71018a6473ac021434dc155bb24a723bccf86f0eed71a1c67c1065309f6", "generator_version": "3.0"}
{"id": "v3_test_id_00001755", "prompt": "What is -858 / 4?", "solution_steps": ["Divide: -858 / 4 = -429/2"], "final_answer": "-429/2", "answer_type": "rational", "kind": "expression", "math_text": "-858 / 4", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -858, \"b\": 4}", "seed": "16797044960479440590", "semantic_fingerprint": "sha256:81707d4459bce0ba1effa78b13b465a5be228272496bd83067035500c82b1cfd", "generator_version": "3.0"}
{"id": "v3_test_id_00001756", "prompt": "Solve for x: 6(x + 30) + 7 = 3x + 166", "solution_steps": ["Expand: 6x + 180 + 7 = 3x + 166", "Combine constants: 6x + 187 = 3x + 166", "Subtract 3x from both sides: 3x + 187 = 166", "Subtract 187 from both sides: 3x = -21", "Divide both sides by 3: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 30) + 7 = 3x + 166", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 30, \"c\": 7, \"d\": 3, \"f\": 166, \"x\": -7}", "seed": "7409450301289566051", "semantic_fingerprint": "sha256:b7377d7e2c4ff353877b34638e625d2edeeda531cdd791f3e84c967ae201e806", "generator_version": "3.0"}
{"id": "v3_test_id_00001757", "prompt": "Find x: -10(x - 102) = -4(x - 50)", "solution_steps": ["Expand: -10x + 1020 = -4(x - 50)", "Expand: -10x + 1020 = -4x + 200", "Add 4x to both sides: -6x + 1020 = 200", "Subtract 1020 from both sides: -6x = -820", "Divide both sides by -6: x = 410/3"], "final_answer": "410/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 102) = -4(x - 50)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 102, \"c\": -4, \"d\": 50}", "seed": "5945196289203245264", "semantic_fingerprint": "sha256:7392e9d241593e39974421fdfade0e0d7b8c21c70e8b2228c28277ff802bc0ef", "generator_version": "3.0"}
{"id": "v3_test_id_00001758", "prompt": "Compute: -1 + (-565) + 99", "solution_steps": ["Add: -1 + (-565) = -566", "Add: -566 + 99 = -467"], "final_answer": "-467", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (-565) + 99", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -565, \"c\": 99}", "seed": "448534201544121920", "semantic_fingerprint": "sha256:c2eca8c4c5fd9aa09c12ae8a9493632e0cd041482d0a95ab1b13cb55bb459f86", "generator_version": "3.0"}
{"id": "v3_test_id_00001759", "prompt": "Compute: 3 + 53 - (955 / 90 + 854)", "solution_steps": ["Add: 3 + 53 = 56", "Divide: 955 / 90 = 191/18", "Add: 191/18 + 854 = 15563/18", "Subtract: 56 - 15563/18 = -14555/18"], "final_answer": "-14555/18", "answer_type": "rational", "kind": "expression", "math_text": "3 + 53 - (955 / 90 + 854)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 53, \"c\": 955, \"d\": 90, \"e\": 854}", "seed": "478429489290416571", "semantic_fingerprint": "sha256:82ec93a4c23cf0f7855926a89f1cd25d6704c2f012f75ffe04a6ae2c6118822e", "generator_version": "3.0"}
{"id": "v3_test_id_00001760", "prompt": "What is -36 * (6 / (2 / (-79) - (-68)))?", "solution_steps": ["Divide: 2 / (-79) = -2/79", "Subtract: -2/79 - (-68) = 5370/79", "Divide: 6 / (5370/79) = 79/895", "Multiply: -36 * (79/895) = -2844/895"], "final_answer": "-2844/895", "answer_type": "rational", "kind": "expression", "math_text": "-36 * (6 / (2 / (-79) - (-68)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ n (- (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": 6, \"c\": 2, \"d\": -79, \"e\": -68}", "seed": "4019508788560965312", "semantic_fingerprint": "sha256:961aefcec7a0afbb4b30b18ee827b0f0627c8551167b86285c77c30100179633", "generator_version": "3.0"}
{"id": "v3_test_id_00001761", "prompt": "Compute: 92 - (-11 - 14 / (-5)) + 53", "solution_steps": ["Divide: 14 / (-5) = -14/5", "Subtract: -11 - (-14/5) = -41/5", "Subtract: 92 - (-41/5) = 501/5", "Add: 501/5 + 53 = 766/5"], "final_answer": "766/5", "answer_type": "rational", "kind": "expression", "math_text": "92 - (-11 - 14 / (-5)) + 53", "variable": null, "family": "expression_4op", "shape": "(+ (- n (- n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": -11, \"c\": 14, \"d\": -5, \"e\": 53}", "seed": "11413608120350237498", "semantic_fingerprint": "sha256:d933829c46f7742a00de4eb6d1e2148ec459604277dc69554e08f9f0fa551f0d", "generator_version": "3.0"}
{"id": "v3_test_id_00001762", "prompt": "Solve the equation 2(x - 78) - 559 = 8x - 721 for x.", "solution_steps": ["Expand: 2x - 156 - 559 = 8x - 721", "Combine constants: 2x - 715 = 8x - 721", "Subtract 8x from both sides: -6x - 715 = -721", "Add 715 to both sides: -6x = -6", "Divide both sides by -6: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 78) - 559 = 8x - 721", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 78, \"c\": 559, \"d\": 8, \"f\": -721, \"x\": 1}", "seed": "15934094111015514035", "semantic_fingerprint": "sha256:5092c3f4239e1dc58213bbb21c6f4e66aad1a6fe5aae54705b337b0dce0da7e2", "generator_version": "3.0"}
{"id": "v3_test_id_00001763", "prompt": "Calculate: -1 * (61 * 3 - 7)", "solution_steps": ["Multiply: 61 * 3 = 183", "Subtract: 183 - 7 = 176", "Multiply: -1 * 176 = -176"], "final_answer": "-176", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (61 * 3 - 7)", "variable": null, "family": "expression_3op", "shape": "(* n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 61, \"c\": 3, \"d\": 7}", "seed": "13488713713242935380", "semantic_fingerprint": "sha256:ef736acd12fa6161befd2764d846f7f4e8cec47e85056ece9794f3c6344962fd", "generator_version": "3.0"}
{"id": "v3_test_id_00001764", "prompt": "Compute: 4 * 3 - (-3) / 851", "solution_steps": ["Multiply: 4 * 3 = 12", "Divide: -3 / 851 = -3/851", "Subtract: 12 - (-3/851) = 10215/851"], "final_answer": "10215/851", "answer_type": "rational", "kind": "expression", "math_text": "4 * 3 - (-3) / 851", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 3, \"c\": -3, \"d\": 851}", "seed": "815052142179443221", "semantic_fingerprint": "sha256:f9cdc207ac49a9e8505be2514e32ada3b3e64e009a77b034379587f6f91bd978", "generator_version": "3.0"}
{"id": "v3_test_id_00001765", "prompt": "Calculate: (979 + (-97)) / 82", "solution_steps": ["Add: 979 + (-97) = 882", "Divide: 882 / 82 = 441/41"], "final_answer": "441/41", "answer_type": "rational", "kind": "expression", "math_text": "(979 + (-97)) / 82", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 979, \"b\": -97, \"c\": 82}", "seed": "16420709302391432944", "semantic_fingerprint": "sha256:08b4c395299e119e08d0d1ed3087e537b5dd188609724d1d8691eb692f73e328", "generator_version": "3.0"}
{"id": "v3_test_id_00001766", "prompt": "Calculate: 4 * (54 - 808) / (-663)", "solution_steps": ["Subtract: 54 - 808 = -754", "Multiply: 4 * (-754) = -3016", "Divide: -3016 / (-663) = 232/51"], "final_answer": "232/51", "answer_type": "rational", "kind": "expression", "math_text": "4 * (54 - 808) / (-663)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 54, \"c\": 808, \"d\": -663}", "seed": "8736362685278434899", "semantic_fingerprint": "sha256:33e788bb075599572cb1d17abee0a21916386508c96402a68fab9cfd08e464d0", "generator_version": "3.0"}
{"id": "v3_test_id_00001767", "prompt": "Find x: 3(x - 2) = x - 59", "solution_steps": ["Expand: 3x - 6 = x - 59", "Subtract x from both sides: 2x - 6 = -59", "Add 6 to both sides: 2x = -53", "Divide both sides by 2: x = -53/2"], "final_answer": "-53/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 2) = x - 59", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": 59}", "seed": "10357905419415580085", "semantic_fingerprint": "sha256:f41a1947b0ff14056d7c5d43379366c001b715857577cdc68c646acc153d7d90", "generator_version": "3.0"}
{"id": "v3_test_id_00001768", "prompt": "Solve the equation -5(x - 89) - 493 = x for x.", "solution_steps": ["Expand: -5x + 445 - 493 = x", "Combine constants: -5x - 48 = x", "Subtract x from both sides: -6x - 48 = 0", "Add 48 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 - 89) - 493 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 89, \"d\": -493, \"x\": -8}", "seed": "4046332937924701382", "semantic_fingerprint": "sha256:99c4ff48a4f4baaa16b94b5c98d33a90065217a25f62ca960e47ab26817e36de", "generator_version": "3.0"}
{"id": "v3_test_id_00001769", "prompt": "Evaluate: -17 + (-750) - (-5)", "solution_steps": ["Add: -17 + (-750) = -767", "Subtract: -767 - (-5) = -762"], "final_answer": "-762", "answer_type": "integer", "kind": "expression", "math_text": "-17 + (-750) - (-5)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": -750, \"c\": -5}", "seed": "1945748424526112615", "semantic_fingerprint": "sha256:89e0654b504eb42a69e8dc5f19ce4d32a4edd60bedec00bf505256b2fb0158c7", "generator_version": "3.0"}
{"id": "v3_test_id_00001770", "prompt": "Solve the equation x = 9x for x.", "solution_steps": ["Subtract 9x from both sides: -8x = 0", "Divide both sides by -8: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 9x", "variable": "x", "family": "linear_equation", "shape": "x=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9}", "seed": "5405049797663749551", "semantic_fingerprint": "sha256:d2f8d352b1298e90b3da6fd688937be9f5e42d16b590e58c584777e726f25a96", "generator_version": "3.0"}
{"id": "v3_test_id_00001771", "prompt": "What is 871 * (-80) - 57 + (-86)?", "solution_steps": ["Multiply: 871 * (-80) = -69680", "Subtract: -69680 - 57 = -69737", "Add: -69737 + (-86) = -69823"], "final_answer": "-69823", "answer_type": "integer", "kind": "expression", "math_text": "871 * (-80) - 57 + (-86)", "variable": null, "family": "expression_3op", "shape": "(+ (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 871, \"b\": -80, \"c\": 57, \"d\": -86}", "seed": "14042165529347797890", "semantic_fingerprint": "sha256:92d7f17da2b394183d3cd08ed6658da71d05841ccd77f64eaeea724bc1b84d99", "generator_version": "3.0"}
{"id": "v3_test_id_00001772", "prompt": "Evaluate: -5 / (6 * (-7 - (551 - (-7))))", "solution_steps": ["Subtract: 551 - (-7) = 558", "Subtract: -7 - 558 = -565", "Multiply: 6 * (-565) = -3390", "Divide: -5 / (-3390) = 1/678"], "final_answer": "1/678", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (6 * (-7 - (551 - (-7))))", "variable": null, "family": "expression_4op", "shape": "(/ n (* n (- n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 6, \"c\": -7, \"d\": 551, \"e\": -7}", "seed": "15784599427008149046", "semantic_fingerprint": "sha256:8fa3e1b6e6ba058b19ba1d4b07d23d0d801d7c1d6e0a075166d329a3f3d201c2", "generator_version": "3.0"}
{"id": "v3_test_id_00001773", "prompt": "Evaluate: 0 * (-521) - 76", "solution_steps": ["Multiply: 0 * (-521) = 0", "Subtract: 0 - 76 = -76"], "final_answer": "-76", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-521) - 76", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -521, \"c\": 76}", "seed": "15549776819819630689", "semantic_fingerprint": "sha256:12df4405e903fe719d59af1e07386de6fa013bdf37f70ff4cd6d6a363e86de4d", "generator_version": "3.0"}
{"id": "v3_test_id_00001774", "prompt": "What is 4 / (-899) + (-6) + (-2) + 6?", "solution_steps": ["Divide: 4 / (-899) = -4/899", "Add: -4/899 + (-6) = -5398/899", "Add: -5398/899 + (-2) = -7196/899", "Add: -7196/899 + 6 = -1802/899"], "final_answer": "-1802/899", "answer_type": "rational", "kind": "expression", "math_text": "4 / (-899) + (-6) + (-2) + 6", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -899, \"c\": -6, \"d\": -2, \"e\": 6}", "seed": "3879833885723401988", "semantic_fingerprint": "sha256:f5b557c089d9c9418f6fd37e8823a65e684024348450ef01cc2a57e43d63fb12", "generator_version": "3.0"}
{"id": "v3_test_id_00001775", "prompt": "Evaluate: (-8 + 65 * (-850 - 12)) / (8 * 380)", "solution_steps": ["Subtract: -850 - 12 = -862", "Multiply: 65 * (-862) = -56030", "Add: -8 + (-56030) = -56038", "Multiply: 8 * 380 = 3040", "Divide: -56038 / 3040 = -28019/1520"], "final_answer": "-28019/1520", "answer_type": "rational", "kind": "expression", "math_text": "(-8 + 65 * (-850 - 12)) / (8 * 380)", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (* n (- n n))) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 65, \"c\": -850, \"d\": 12, \"e\": 8, \"f\": 380}", "seed": "2408018568791236167", "semantic_fingerprint": "sha256:800506b77a8bf09b50c4b1fb828ea0e01e53ddbac82b18e8c8480b83e663795c", "generator_version": "3.0"}
{"id": "v3_test_id_00001776", "prompt": "Solve for x: 11(x - 52) + 693 = x", "solution_steps": ["Expand: 11x - 572 + 693 = x", "Combine constants: 11x + 121 = x", "Subtract x from both sides: 10x + 121 = 0", "Subtract 121 from both sides: 10x = -121", "Divide both sides by 10: x = -121/10"], "final_answer": "-121/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 52) + 693 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 52, \"c\": 693}", "seed": "18357485014729344612", "semantic_fingerprint": "sha256:a437844684efd6a8204058c3d5f10814e8eba08c25599745142fa4d98ec081e3", "generator_version": "3.0"}
{"id": "v3_test_id_00001777", "prompt": "What is -10 / (-27 * 3 * (-4 - 552 / 450))?", "solution_steps": ["Multiply: -27 * 3 = -81", "Divide: 552 / 450 = 92/75", "Subtract: -4 - 92/75 = -392/75", "Multiply: -81 * (-392/75) = 10584/25", "Divide: -10 / (10584/25) = -125/5292"], "final_answer": "-125/5292", "answer_type": "rational", "kind": "expression", "math_text": "-10 / (-27 * 3 * (-4 - 552 / 450))", "variable": null, "family": "expression_5op", "shape": "(/ n (* (* n n) (- n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": -27, \"c\": 3, \"d\": -4, \"e\": 552, \"f\": 450}", "seed": "9581678191135365384", "semantic_fingerprint": "sha256:040515d444e47aa361042422b77ee8f776ca91d876342e4f08254633464a0370", "generator_version": "3.0"}
{"id": "v3_test_id_00001778", "prompt": "What value of x satisfies x - 6 = -10x + 31?", "solution_steps": ["Add 10x to both sides: 11x - 6 = 31", "Add 6 to both sides: 11x = 37", "Divide both sides by 11: x = 37/11"], "final_answer": "37/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 6 = -10x + 31", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -10, \"c\": 31}", "seed": "5533772461816436433", "semantic_fingerprint": "sha256:4e32088b93e0eb7c52bf9ade91b72b6757fa5039263eaf1d391568ec01550f84", "generator_version": "3.0"}
{"id": "v3_test_id_00001779", "prompt": "Evaluate: 839 + (-3)", "solution_steps": ["Add: 839 + (-3) = 836"], "final_answer": "836", "answer_type": "integer", "kind": "expression", "math_text": "839 + (-3)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 839, \"b\": -3}", "seed": "15387485825838779503", "semantic_fingerprint": "sha256:33f8a658300d58b529e9dae6d051a19ee877f17969bdc51248ed10e83ea9759e", "generator_version": "3.0"}
{"id": "v3_test_id_00001780", "prompt": "Evaluate: -82 + (-26 - (-769 + (-4) - 6))", "solution_steps": ["Add: -769 + (-4) = -773", "Subtract: -773 - 6 = -779", "Subtract: -26 - (-779) = 753", "Add: -82 + 753 = 671"], "final_answer": "671", "answer_type": "integer", "kind": "expression", "math_text": "-82 + (-26 - (-769 + (-4) - 6))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (- (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -82, \"b\": -26, \"c\": -769, \"d\": -4, \"e\": 6}", "seed": "7038262689054956937", "semantic_fingerprint": "sha256:793ab1391296a68661ff1b5e433e50a558ec47cca421e475f204a86a4110e509", "generator_version": "3.0"}
{"id": "v3_test_id_00001781", "prompt": "Find x: 6x + 935 = -9(x + 1) + 854", "solution_steps": ["Expand: 6x + 935 = -9x - 9 + 854", "Combine constants: 6x + 935 = -9x + 845", "Add 9x to both sides: 15x + 935 = 845", "Subtract 935 from both sides: 15x = -90", "Divide both sides by 15: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x + 935 = -9(x + 1) + 854", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 935, \"c\": -9, \"d\": 1, \"f\": 854, \"x\": -6}", "seed": "3284400602884771850", "semantic_fingerprint": "sha256:591ef86d305094d701a6eb396e4138b64e340053d617c383cc0ca50822dd6b88", "generator_version": "3.0"}
{"id": "v3_test_id_00001782", "prompt": "What is -1 + 5 + (-65)?", "solution_steps": ["Add: -1 + 5 = 4", "Add: 4 + (-65) = -61"], "final_answer": "-61", "answer_type": "integer", "kind": "expression", "math_text": "-1 + 5 + (-65)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 5, \"c\": -65}", "seed": "15631695011582970587", "semantic_fingerprint": "sha256:4b2e7a458df9fbf9401fbc745c5bb5867b9eed57e527e26e3f997643ae1fa62c", "generator_version": "3.0"}
{"id": "v3_test_id_00001783", "prompt": "What is -42 - 66 / (-210)?", "solution_steps": ["Divide: 66 / (-210) = -11/35", "Subtract: -42 - (-11/35) = -1459/35"], "final_answer": "-1459/35", "answer_type": "rational", "kind": "expression", "math_text": "-42 - 66 / (-210)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": 66, \"c\": -210}", "seed": "14010895228159036444", "semantic_fingerprint": "sha256:c7eae85ba8a83d607688002de2271defecc8467a8c8f447daf6913ec3f87549f", "generator_version": "3.0"}
{"id": "v3_test_id_00001784", "prompt": "What is (-94 + (-4 + (-15))) / (-13)?", "solution_steps": ["Add: -4 + (-15) = -19", "Add: -94 + (-19) = -113", "Divide: -113 / (-13) = 113/13"], "final_answer": "113/13", "answer_type": "rational", "kind": "expression", "math_text": "(-94 + (-4 + (-15))) / (-13)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": -4, \"c\": -15, \"d\": -13}", "seed": "1088447930423559760", "semantic_fingerprint": "sha256:0d707d8769a1d2da004044f8e7f4b0ea1c09a39b78cc0ca2ceddbe8c1b47599a", "generator_version": "3.0"}
{"id": "v3_test_id_00001785", "prompt": "Evaluate: 955 * (-329)", "solution_steps": ["Multiply: 955 * (-329) = -314195"], "final_answer": "-314195", "answer_type": "integer", "kind": "expression", "math_text": "955 * (-329)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 955, \"b\": -329}", "seed": "4345305770452114615", "semantic_fingerprint": "sha256:f6d3a050bb2af699976be11a897f4238b28d5fd9adfe20eca27d1f7e848bbc36", "generator_version": "3.0"}
{"id": "v3_test_id_00001786", "prompt": "Calculate: (896 + (-2)) / (-437)", "solution_steps": ["Add: 896 + (-2) = 894", "Divide: 894 / (-437) = -894/437"], "final_answer": "-894/437", "answer_type": "rational", "kind": "expression", "math_text": "(896 + (-2)) / (-437)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 896, \"b\": -2, \"c\": -437}", "seed": "14668882450837162988", "semantic_fingerprint": "sha256:b1078e5654fb22853b1e5ace213f40138870b406a2111030f87866b5c52d62ab", "generator_version": "3.0"}
{"id": "v3_test_id_00001787", "prompt": "Solve for x: x - 6 = 311", "solution_steps": ["Add 6 to both sides: x = 317"], "final_answer": "317", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 6 = 311", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 311}", "seed": "12618529301340678204", "semantic_fingerprint": "sha256:4260372c667b3da7560bba405664a47ac4621f7a9cc9a36769bad6e6f5f3ad27", "generator_version": "3.0"}
{"id": "v3_test_id_00001788", "prompt": "Calculate: -28 / (30 + (-506))", "solution_steps": ["Add: 30 + (-506) = -476", "Divide: -28 / (-476) = 1/17"], "final_answer": "1/17", "answer_type": "rational", "kind": "expression", "math_text": "-28 / (30 + (-506))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": 30, \"c\": -506}", "seed": "18241877369890419864", "semantic_fingerprint": "sha256:e6a0ead523ed932ca66074c7555a512d80196a84b8d3d7c852034300d0884fda", "generator_version": "3.0"}
{"id": "v3_test_id_00001789", "prompt": "Calculate: (23 + 2) * 16 + (-34)", "solution_steps": ["Add: 23 + 2 = 25", "Multiply: 25 * 16 = 400", "Add: 400 + (-34) = 366"], "final_answer": "366", "answer_type": "integer", "kind": "expression", "math_text": "(23 + 2) * 16 + (-34)", "variable": null, "family": "expression_3op", "shape": "(+ (* (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 2, \"c\": 16, \"d\": -34}", "seed": "9154584732770651917", "semantic_fingerprint": "sha256:df7a2dbbf0a3b6e38567951eea2d318fee79dfdd59ccaed2d1cfc5de32209165", "generator_version": "3.0"}
{"id": "v3_test_id_00001790", "prompt": "What value of x satisfies x + 69 = -3(x - 61) - 166?", "solution_steps": ["Expand: x + 69 = -3x + 183 - 166", "Combine constants: x + 69 = -3x + 17", "Add 3x to both sides: 4x + 69 = 17", "Subtract 69 from both sides: 4x = -52", "Divide both sides by 4: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 69 = -3(x - 61) - 166", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": -3, \"c\": 61, \"e\": -166, \"x\": -13}", "seed": "8997235209124898114", "semantic_fingerprint": "sha256:25fe34d0fc4ab4f118944b1d2209db8427a2628944197c51fe9934d8e3dfda49", "generator_version": "3.0"}
{"id": "v3_test_id_00001791", "prompt": "Compute: 837 - (-52) - (-734)", "solution_steps": ["Subtract: 837 - (-52) = 889", "Subtract: 889 - (-734) = 1623"], "final_answer": "1623", "answer_type": "integer", "kind": "expression", "math_text": "837 - (-52) - (-734)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 837, \"b\": -52, \"c\": -734}", "seed": "3339266752019074316", "semantic_fingerprint": "sha256:7285d319abfb5e362d83887f1d07788c3ff4a73303dbcfcd93814d6bd89d448f", "generator_version": "3.0"}
{"id": "v3_test_id_00001792", "prompt": "Solve the equation 10(x - 3) = x + 54 for x.", "solution_steps": ["Expand: 10x - 30 = x + 54", "Subtract x from both sides: 9x - 30 = 54", "Add 30 to both sides: 9x = 84", "Divide both sides by 9: x = 28/3"], "final_answer": "28/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 3) = x + 54", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 3, \"c\": 54}", "seed": "7796836261127339831", "semantic_fingerprint": "sha256:e03b63df3f40123f3ef1bbee25553bffc3eb455010ceb2f55a823c06e52f9b9c", "generator_version": "3.0"}
{"id": "v3_test_id_00001793", "prompt": "Find x: 12x - 347 = 4(x + 15) - 567", "solution_steps": ["Expand: 12x - 347 = 4x + 60 - 567", "Combine constants: 12x - 347 = 4x - 507", "Subtract 4x from both sides: 8x - 347 = -507", "Add 347 to both sides: 8x = -160", "Divide both sides by 8: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 347 = 4(x + 15) - 567", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 347, \"c\": 4, \"d\": 15, \"f\": -567, \"x\": -20}", "seed": "10643222005857104789", "semantic_fingerprint": "sha256:11d4b4fcf73411e604a7193fbe29e463e175494fc2e35fc05122d5fa8f4062a9", "generator_version": "3.0"}
{"id": "v3_test_id_00001794", "prompt": "Evaluate: -9 / (-2) + (-17 + (-921) + 87)", "solution_steps": ["Divide: -9 / (-2) = 9/2", "Add: -17 + (-921) = -938", "Add: -938 + 87 = -851", "Add: 9/2 + (-851) = -1693/2"], "final_answer": "-1693/2", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-2) + (-17 + (-921) + 87)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -2, \"c\": -17, \"d\": -921, \"e\": 87}", "seed": "12752563935364007280", "semantic_fingerprint": "sha256:7f69737d390c66a3fd5c962b64198e206181636fc7f4ae2e6dd749cfbf570b11", "generator_version": "3.0"}
{"id": "v3_test_id_00001795", "prompt": "Solve the equation x = -4(x - 5) + 70 for x.", "solution_steps": ["Expand: x = -4x + 20 + 70", "Combine constants: x = -4x + 90", "Add 4x to both sides: 5x = 90", "Divide both sides by 5: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -4(x - 5) + 70", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 5, \"d\": 70, \"x\": 18}", "seed": "16578093418817557459", "semantic_fingerprint": "sha256:2c25628503be22a353cf25571fa94b263a3e73c917a1d4f8212916c891b9a134", "generator_version": "3.0"}
{"id": "v3_test_id_00001796", "prompt": "Evaluate: 25 / (-89) / (-2)", "solution_steps": ["Divide: 25 / (-89) = -25/89", "Divide: (-25/89) / (-2) = 25/178"], "final_answer": "25/178", "answer_type": "rational", "kind": "expression", "math_text": "25 / (-89) / (-2)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": -89, \"c\": -2}", "seed": "11679764746395365151", "semantic_fingerprint": "sha256:1540b1ad93894c25b9b52dfbb0c71fb72196d263a18991fafe6e710f95364960", "generator_version": "3.0"}
{"id": "v3_test_id_00001797", "prompt": "Evaluate: -397 + 1", "solution_steps": ["Add: -397 + 1 = -396"], "final_answer": "-396", "answer_type": "integer", "kind": "expression", "math_text": "-397 + 1", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -397, \"b\": 1}", "seed": "16451011789802202807", "semantic_fingerprint": "sha256:d46012b85ef7ba94793ca92a552039614c89b05cb39523088267b05a4bc9c573", "generator_version": "3.0"}
{"id": "v3_test_id_00001798", "prompt": "Evaluate: (164 + 5) / 6", "solution_steps": ["Add: 164 + 5 = 169", "Divide: 169 / 6 = 169/6"], "final_answer": "169/6", "answer_type": "rational", "kind": "expression", "math_text": "(164 + 5) / 6", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 164, \"b\": 5, \"c\": 6}", "seed": "3443007759264912776", "semantic_fingerprint": "sha256:1c5ec09a29ce758e2ae7b0f8ce9e034d382a0744328542c811b4b51ce30adc8f", "generator_version": "3.0"}
{"id": "v3_test_id_00001799", "prompt": "Compute: 23 / (-66 + (-44))", "solution_steps": ["Add: -66 + (-44) = -110", "Divide: 23 / (-110) = -23/110"], "final_answer": "-23/110", "answer_type": "rational", "kind": "expression", "math_text": "23 / (-66 + (-44))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": -66, \"c\": -44}", "seed": "9679048720260682147", "semantic_fingerprint": "sha256:5b3fb560b7b00d5dd7ded5492f2cae0ad43bd2f43d3ffdd5178c989d7d8868a6", "generator_version": "3.0"}
{"id": "v3_test_id_00001800", "prompt": "Calculate: 116 * (-59 + 699)", "solution_steps": ["Add: -59 + 699 = 640", "Multiply: 116 * 640 = 74240"], "final_answer": "74240", "answer_type": "integer", "kind": "expression", "math_text": "116 * (-59 + 699)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 116, \"b\": -59, \"c\": 699}", "seed": "15135539648511807854", "semantic_fingerprint": "sha256:d7e84147910c9375b2dd87366b31eb5cc0464cc9e9ef476fe0d883279a1c32b3", "generator_version": "3.0"}
{"id": "v3_test_id_00001801", "prompt": "Evaluate: 1 * (738 + 778 - 25 / (-99)) - (-304)", "solution_steps": ["Add: 738 + 778 = 1516", "Divide: 25 / (-99) = -25/99", "Subtract: 1516 - (-25/99) = 150109/99", "Multiply: 1 * (150109/99) = 150109/99", "Subtract: 150109/99 - (-304) = 180205/99"], "final_answer": "180205/99", "answer_type": "rational", "kind": "expression", "math_text": "1 * (738 + 778 - 25 / (-99)) - (-304)", "variable": null, "family": "expression_5op", "shape": "(- (* n (- (+ n n) (/ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 738, \"c\": 778, \"d\": 25, \"e\": -99, \"f\": -304}", "seed": "8330502363033655825", "semantic_fingerprint": "sha256:b09345bf198488f0407ee43f30b3a333adcdb2dd82c8c5ba3ee3df0b606d5372", "generator_version": "3.0"}
{"id": "v3_test_id_00001802", "prompt": "Compute: -942 + (11 + (-2) / (-42 / (-7)))", "solution_steps": ["Divide: -42 / (-7) = 6", "Divide: -2 / 6 = -1/3", "Add: 11 + (-1/3) = 32/3", "Add: -942 + 32/3 = -2794/3"], "final_answer": "-2794/3", "answer_type": "rational", "kind": "expression", "math_text": "-942 + (11 + (-2) / (-42 / (-7)))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ n (/ n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -942, \"b\": 11, \"c\": -2, \"d\": -42, \"e\": -7}", "seed": "14131259390624471235", "semantic_fingerprint": "sha256:04d1990d52dd48e3fdc2227c50782df0185f2e39c01acb1b62533b8f735674f4", "generator_version": "3.0"}
{"id": "v3_test_id_00001803", "prompt": "Evaluate: 57 - (-231 + 42)", "solution_steps": ["Add: -231 + 42 = -189", "Subtract: 57 - (-189) = 246"], "final_answer": "246", "answer_type": "integer", "kind": "expression", "math_text": "57 - (-231 + 42)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": -231, \"c\": 42}", "seed": "3515551379035088286", "semantic_fingerprint": "sha256:900f99543388b3e44fc9d2580004f7a4e7978196c550f8ea7ea4d0dd06914b7d", "generator_version": "3.0"}
{"id": "v3_test_id_00001804", "prompt": "What is -65 * (20 / (-57)) + (-486)?", "solution_steps": ["Divide: 20 / (-57) = -20/57", "Multiply: -65 * (-20/57) = 1300/57", "Add: 1300/57 + (-486) = -26402/57"], "final_answer": "-26402/57", "answer_type": "rational", "kind": "expression", "math_text": "-65 * (20 / (-57)) + (-486)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": 20, \"c\": -57, \"d\": -486}", "seed": "10536131869644326344", "semantic_fingerprint": "sha256:370b320f59b9596af25b6f5b2fd2551eec92c1041ae3329b657ce14e9bbbcec7", "generator_version": "3.0"}
{"id": "v3_test_id_00001805", "prompt": "Compute: 37 / 128", "solution_steps": ["Divide: 37 / 128 = 37/128"], "final_answer": "37/128", "answer_type": "rational", "kind": "expression", "math_text": "37 / 128", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": 128}", "seed": "14501876669689338062", "semantic_fingerprint": "sha256:0f4868a4a566302f2902d50dbff4b051822058867ef5333b0db0b0821223ae79", "generator_version": "3.0"}
{"id": "v3_test_id_00001806", "prompt": "What is (167 + 76 - 32) / 1?", "solution_steps": ["Add: 167 + 76 = 243", "Subtract: 243 - 32 = 211", "Divide: 211 / 1 = 211"], "final_answer": "211", "answer_type": "integer", "kind": "expression", "math_text": "(167 + 76 - 32) / 1", "variable": null, "family": "expression_3op", "shape": "(/ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 167, \"b\": 76, \"c\": 32, \"d\": 1}", "seed": "14196030562810521980", "semantic_fingerprint": "sha256:9b45a5b740a9e8dee23025e08f00aa71ada4f1aaeb7578352831e95f958f140c", "generator_version": "3.0"}
{"id": "v3_test_id_00001807", "prompt": "Evaluate: 332 / (-39)", "solution_steps": ["Divide: 332 / (-39) = -332/39"], "final_answer": "-332/39", "answer_type": "rational", "kind": "expression", "math_text": "332 / (-39)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 332, \"b\": -39}", "seed": "4107627826859116052", "semantic_fingerprint": "sha256:f0cff58e2ffeb45715584699729cbabbbf6690a27d8de531111897a308713cb9", "generator_version": "3.0"}
{"id": "v3_test_id_00001808", "prompt": "Compute: (45 - (-846)) / 8 - (-152) / 27", "solution_steps": ["Subtract: 45 - (-846) = 891", "Divide: 891 / 8 = 891/8", "Divide: -152 / 27 = -152/27", "Subtract: 891/8 - (-152/27) = 25273/216"], "final_answer": "25273/216", "answer_type": "rational", "kind": "expression", "math_text": "(45 - (-846)) / 8 - (-152) / 27", "variable": null, "family": "expression_4op", "shape": "(- (/ (- n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": -846, \"c\": 8, \"d\": -152, \"e\": 27}", "seed": "2288124137166878606", "semantic_fingerprint": "sha256:2e22edce9ef3a180402c7dbcbb8dfa26d204478afc08b506afa38705f440100e", "generator_version": "3.0"}
{"id": "v3_test_id_00001809", "prompt": "Find x: 3(x + 1) - 474 = -519", "solution_steps": ["Expand: 3x + 3 - 474 = -519", "Combine constants: 3x - 471 = -519", "Add 471 to both sides: 3x = -48", "Divide both sides by 3: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 1) - 474 = -519", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 1, \"c\": 474, \"e\": -519, \"x\": -16}", "seed": "5934309278635914045", "semantic_fingerprint": "sha256:846979bdc82b4621d7551d136a32bc9855aa4ca7f8dde9c4911007e63d16f247", "generator_version": "3.0"}
{"id": "v3_test_id_00001810", "prompt": "Calculate: -77 * 85 / (-83 * 574)", "solution_steps": ["Multiply: -77 * 85 = -6545", "Multiply: -83 * 574 = -47642", "Divide: -6545 / (-47642) = 935/6806"], "final_answer": "935/6806", "answer_type": "rational", "kind": "expression", "math_text": "-77 * 85 / (-83 * 574)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": 85, \"c\": -83, \"d\": 574}", "seed": "18266580874611820589", "semantic_fingerprint": "sha256:d7d0a4e0aa4d530de7ef2f6003b33008a17aa1c1e97b5f70f7825092421ec701", "generator_version": "3.0"}
{"id": "v3_test_id_00001811", "prompt": "What is 842 * (-59 / (-520)) - (1 - 80)?", "solution_steps": ["Divide: -59 / (-520) = 59/520", "Multiply: 842 * (59/520) = 24839/260", "Subtract: 1 - 80 = -79", "Subtract: 24839/260 - (-79) = 45379/260"], "final_answer": "45379/260", "answer_type": "rational", "kind": "expression", "math_text": "842 * (-59 / (-520)) - (1 - 80)", "variable": null, "family": "expression_4op", "shape": "(- (* n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 842, \"b\": -59, \"c\": -520, \"d\": 1, \"e\": 80}", "seed": "16766590749431548150", "semantic_fingerprint": "sha256:d8f32bb8aadecf342a365c1df5669d0496dee3efb17ed682e8b70f202df30590", "generator_version": "3.0"}
{"id": "v3_test_id_00001812", "prompt": "Calculate: 29 - (-731)", "solution_steps": ["Subtract: 29 - (-731) = 760"], "final_answer": "760", "answer_type": "integer", "kind": "expression", "math_text": "29 - (-731)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": -731}", "seed": "12751060917762727772", "semantic_fingerprint": "sha256:4ed2c8c82c9ebd970bebb2b6dda157de110791ec8a91ee64534dc377804ac77d", "generator_version": "3.0"}
{"id": "v3_test_id_00001813", "prompt": "What value of x satisfies -3(x + 85) + 153 = -9(x + 2)?", "solution_steps": ["Expand: -3x - 255 + 153 = -9(x + 2)", "Expand: -3x - 255 + 153 = -9x - 18", "Combine constants: -3x - 102 = -9x - 18", "Add 9x to both sides: 6x - 102 = -18", "Add 102 to both sides: 6x = 84", "Divide both sides by 6: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 85) + 153 = -9(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\": 85, \"c\": -9, \"d\": 2, \"f\": 153, \"x\": 14}", "seed": "2779329030525647791", "semantic_fingerprint": "sha256:99d9c5ed31d5b35d0b9c6ec47066b9206420e22823352aeeedc2c0a678fd2def", "generator_version": "3.0"}
{"id": "v3_test_id_00001814", "prompt": "Compute: -60 - (829 / 77 - (-5))", "solution_steps": ["Divide: 829 / 77 = 829/77", "Subtract: 829/77 - (-5) = 1214/77", "Subtract: -60 - 1214/77 = -5834/77"], "final_answer": "-5834/77", "answer_type": "rational", "kind": "expression", "math_text": "-60 - (829 / 77 - (-5))", "variable": null, "family": "expression_3op", "shape": "(- n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": 829, \"c\": 77, \"d\": -5}", "seed": "11963097349031754379", "semantic_fingerprint": "sha256:93bbd98ec7eb6f28ea8c392c3600bd1c1a7b848d6190163be48d092165d64cdc", "generator_version": "3.0"}
{"id": "v3_test_id_00001815", "prompt": "What is -30 / (-658) - (47 - (-2))?", "solution_steps": ["Divide: -30 / (-658) = 15/329", "Subtract: 47 - (-2) = 49", "Subtract: 15/329 - 49 = -16106/329"], "final_answer": "-16106/329", "answer_type": "rational", "kind": "expression", "math_text": "-30 / (-658) - (47 - (-2))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": -658, \"c\": 47, \"d\": -2}", "seed": "17991867674399727919", "semantic_fingerprint": "sha256:c23ad2c11f403ce14328bb77d5b129e4e7cd8618e728d2a9106ed546322b0a36", "generator_version": "3.0"}
{"id": "v3_test_id_00001816", "prompt": "Solve for x: 5(x - 19) + 188 = x + 101", "solution_steps": ["Expand: 5x - 95 + 188 = x + 101", "Combine constants: 5x + 93 = x + 101", "Subtract x from both sides: 4x + 93 = 101", "Subtract 93 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 - 19) + 188 = x + 101", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 19, \"c\": 188, \"e\": 101, \"x\": 2}", "seed": "16946561976555798052", "semantic_fingerprint": "sha256:e487368b6bf18a4c7388fe3366160f016f2aad6dd52082750f2724ae4a464d98", "generator_version": "3.0"}
{"id": "v3_test_id_00001817", "prompt": "What value of x satisfies -9(x - 9) - 169 = -2(x + 58)?", "solution_steps": ["Expand: -9x + 81 - 169 = -2(x + 58)", "Expand: -9x + 81 - 169 = -2x - 116", "Combine constants: -9x - 88 = -2x - 116", "Add 2x to both sides: -7x - 88 = -116", "Add 88 to both sides: -7x = -28", "Divide both sides by -7: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 9) - 169 = -2(x + 58)", "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\": -2, \"d\": 58, \"f\": -169, \"x\": 4}", "seed": "9754692706482308706", "semantic_fingerprint": "sha256:2e8bec3ba308983dc428118beeae7e814fc9033cf53a18af690ada9c0868bda3", "generator_version": "3.0"}
{"id": "v3_test_id_00001818", "prompt": "Compute: -61 - (-657)", "solution_steps": ["Subtract: -61 - (-657) = 596"], "final_answer": "596", "answer_type": "integer", "kind": "expression", "math_text": "-61 - (-657)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": -657}", "seed": "16758170055048971721", "semantic_fingerprint": "sha256:4d78e3a60c4b5641a7d2058e40ebe267e011093b575a89d7014e45d804ae8cf2", "generator_version": "3.0"}
{"id": "v3_test_id_00001819", "prompt": "Evaluate: 41 - (-48)", "solution_steps": ["Subtract: 41 - (-48) = 89"], "final_answer": "89", "answer_type": "integer", "kind": "expression", "math_text": "41 - (-48)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": -48}", "seed": "10512325643265617390", "semantic_fingerprint": "sha256:99f3a1b0fe0ab1a46a4e0c86797e589cbb4b78b7ca9cc0658c013738abc46e6a", "generator_version": "3.0"}
{"id": "v3_test_id_00001820", "prompt": "Calculate: 391 + (-52 * (-3 - (-3)) + (-12))", "solution_steps": ["Subtract: -3 - (-3) = 0", "Multiply: -52 * 0 = 0", "Add: 0 + (-12) = -12", "Add: 391 + (-12) = 379"], "final_answer": "379", "answer_type": "integer", "kind": "expression", "math_text": "391 + (-52 * (-3 - (-3)) + (-12))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (* n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 391, \"b\": -52, \"c\": -3, \"d\": -3, \"e\": -12}", "seed": "13439610248247530698", "semantic_fingerprint": "sha256:0fed1bd63ce5324733a0f4968229e43dd7846173b5235ca4877ef84884fe627c", "generator_version": "3.0"}
{"id": "v3_test_id_00001821", "prompt": "Evaluate: 88 - (92 - 8 / 3)", "solution_steps": ["Divide: 8 / 3 = 8/3", "Subtract: 92 - 8/3 = 268/3", "Subtract: 88 - 268/3 = -4/3"], "final_answer": "-4/3", "answer_type": "rational", "kind": "expression", "math_text": "88 - (92 - 8 / 3)", "variable": null, "family": "expression_3op", "shape": "(- n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": 92, \"c\": 8, \"d\": 3}", "seed": "6900999879497620753", "semantic_fingerprint": "sha256:96df7b61c22a433529e7da3310d137167894211a29826e7009ff62d2dd968d55", "generator_version": "3.0"}
{"id": "v3_test_id_00001822", "prompt": "Compute: 81 + (-70) / 32", "solution_steps": ["Divide: -70 / 32 = -35/16", "Add: 81 + (-35/16) = 1261/16"], "final_answer": "1261/16", "answer_type": "rational", "kind": "expression", "math_text": "81 + (-70) / 32", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": -70, \"c\": 32}", "seed": "11226005652594218026", "semantic_fingerprint": "sha256:5dda621e88993ae1d628422c0bf5e5441c5a0f1e22bd4e7f0f324aa3192c9877", "generator_version": "3.0"}
{"id": "v3_test_id_00001823", "prompt": "What is 5 - 19 * (-295 - 4 * (-1))?", "solution_steps": ["Multiply: 4 * (-1) = -4", "Subtract: -295 - (-4) = -291", "Multiply: 19 * (-291) = -5529", "Subtract: 5 - (-5529) = 5534"], "final_answer": "5534", "answer_type": "integer", "kind": "expression", "math_text": "5 - 19 * (-295 - 4 * (-1))", "variable": null, "family": "expression_4op", "shape": "(- n (* n (- n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 19, \"c\": -295, \"d\": 4, \"e\": -1}", "seed": "6098944344925434317", "semantic_fingerprint": "sha256:2914366f62cb2fb9ca47ff18fe6bee0501ae4e6f81ed3e5284086a2a9b820a9a", "generator_version": "3.0"}
{"id": "v3_test_id_00001824", "prompt": "Solve for x: 6(x - 70) + 37 = x - 73", "solution_steps": ["Expand: 6x - 420 + 37 = x - 73", "Combine constants: 6x - 383 = x - 73", "Subtract x from both sides: 5x - 383 = -73", "Add 383 to both sides: 5x = 310", "Divide both sides by 5: x = 62"], "final_answer": "62", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 70) + 37 = x - 73", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 70, \"c\": 37, \"d\": 73}", "seed": "14948635269011000960", "semantic_fingerprint": "sha256:5254b9d9ab188594f6963cc9dee72d7b58b694a2c9d1407a3929c226678d949f", "generator_version": "3.0"}
{"id": "v3_test_id_00001825", "prompt": "Calculate: 365 + (-96 - (-7 - 883))", "solution_steps": ["Subtract: -7 - 883 = -890", "Subtract: -96 - (-890) = 794", "Add: 365 + 794 = 1159"], "final_answer": "1159", "answer_type": "integer", "kind": "expression", "math_text": "365 + (-96 - (-7 - 883))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 365, \"b\": -96, \"c\": -7, \"d\": 883}", "seed": "8174023643316001475", "semantic_fingerprint": "sha256:27f20cd8b963716fc77d7e96cd0480eaee5560b81933f8e28e946c3cf577dc0f", "generator_version": "3.0"}
{"id": "v3_test_id_00001826", "prompt": "Evaluate: -6 / 928", "solution_steps": ["Divide: -6 / 928 = -3/464"], "final_answer": "-3/464", "answer_type": "rational", "kind": "expression", "math_text": "-6 / 928", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 928}", "seed": "16314270383273832587", "semantic_fingerprint": "sha256:2b1f8945b7c723ce995f7148b82cfe7678b2e9ee38e36e9b3faa58944018a4db", "generator_version": "3.0"}
{"id": "v3_test_id_00001827", "prompt": "What is -36 + (-86) * 716?", "solution_steps": ["Multiply: -86 * 716 = -61576", "Add: -36 + (-61576) = -61612"], "final_answer": "-61612", "answer_type": "integer", "kind": "expression", "math_text": "-36 + (-86) * 716", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": -86, \"c\": 716}", "seed": "4117485654934920252", "semantic_fingerprint": "sha256:c72eb1f485124b8300feb0b9d16f80602b2a778700907368c2ee90fff6489c4b", "generator_version": "3.0"}
{"id": "v3_test_id_00001828", "prompt": "Solve the equation 3x + 592 = x for x.", "solution_steps": ["Subtract x from both sides: 2x + 592 = 0", "Subtract 592 from both sides: 2x = -592", "Divide both sides by 2: x = -296"], "final_answer": "-296", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x + 592 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 592}", "seed": "4530548697207755850", "semantic_fingerprint": "sha256:6a912f41d5eb5888fc04aab17d9e03a02c34edf795ff5d0d63be7a95980e2f3e", "generator_version": "3.0"}
{"id": "v3_test_id_00001829", "prompt": "Find x: 2(x - 90) = -142", "solution_steps": ["Expand: 2x - 180 = -142", "Add 180 to both sides: 2x = 38", "Divide both sides by 2: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 90) = -142", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 90, \"d\": -142, \"x\": 19}", "seed": "5731573337887112919", "semantic_fingerprint": "sha256:7deddc7da51e2fb384f9389f41c283fc45bb45018ad3112801563f3f51f65ea1", "generator_version": "3.0"}
{"id": "v3_test_id_00001830", "prompt": "What value of x satisfies 12(x - 50) - 83 = -4x - 59?", "solution_steps": ["Expand: 12x - 600 - 83 = -4x - 59", "Combine constants: 12x - 683 = -4x - 59", "Add 4x to both sides: 16x - 683 = -59", "Add 683 to both sides: 16x = 624", "Divide both sides by 16: x = 39"], "final_answer": "39", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 50) - 83 = -4x - 59", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 50, \"c\": 83, \"d\": -4, \"e\": 59}", "seed": "11107736312564114172", "semantic_fingerprint": "sha256:bfa80c2ef68541f41c2663e4a9cbd009a319e261f0e04b0dd0d22aa22dc1852f", "generator_version": "3.0"}
{"id": "v3_test_id_00001831", "prompt": "What value of x satisfies -8(x - 56) = x + 520?", "solution_steps": ["Expand: -8x + 448 = x + 520", "Subtract x from both sides: -9x + 448 = 520", "Subtract 448 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 - 56) = x + 520", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 56, \"d\": 520, \"x\": -8}", "seed": "2711063345457558504", "semantic_fingerprint": "sha256:41ef8f72fb31c944ec6c19db287eb7894e3e5fd4a55f0353062f25ee3074a88a", "generator_version": "3.0"}
{"id": "v3_test_id_00001832", "prompt": "Compute: (-27 - (-3) - 5 - 16) * (-83)", "solution_steps": ["Subtract: -27 - (-3) = -24", "Subtract: -24 - 5 = -29", "Subtract: -29 - 16 = -45", "Multiply: -45 * (-83) = 3735"], "final_answer": "3735", "answer_type": "integer", "kind": "expression", "math_text": "(-27 - (-3) - 5 - 16) * (-83)", "variable": null, "family": "expression_4op", "shape": "(* (- (- (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": -3, \"c\": 5, \"d\": 16, \"e\": -83}", "seed": "11258402043853974250", "semantic_fingerprint": "sha256:48bc1e7ea0193e99e6fcec85b01943fdf522cea20431b3af02e9a11e1959906e", "generator_version": "3.0"}
{"id": "v3_test_id_00001833", "prompt": "Compute: 0 - 303", "solution_steps": ["Subtract: 0 - 303 = -303"], "final_answer": "-303", "answer_type": "integer", "kind": "expression", "math_text": "0 - 303", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 303}", "seed": "5468253953749379184", "semantic_fingerprint": "sha256:d5cf2d58be3a9bf8a54fc11597128e67b3fa61c50f726b01c2411f3624aa12d2", "generator_version": "3.0"}
{"id": "v3_test_id_00001834", "prompt": "What value of x satisfies 3(x - 82) + 670 = 406?", "solution_steps": ["Expand: 3x - 246 + 670 = 406", "Combine constants: 3x + 424 = 406", "Subtract 424 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 - 82) + 670 = 406", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 82, \"c\": 670, \"e\": 406, \"x\": -6}", "seed": "12071871531050443994", "semantic_fingerprint": "sha256:3a4aba5ae58a9b03a7e5683603a625dd79c0fa1d6fb383bda9655a8c26845356", "generator_version": "3.0"}
{"id": "v3_test_id_00001835", "prompt": "Solve for x: 6(x + 7) + 3 = x", "solution_steps": ["Expand: 6x + 42 + 3 = x", "Combine constants: 6x + 45 = x", "Subtract x from both sides: 5x + 45 = 0", "Subtract 45 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 + 7) + 3 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 7, \"c\": 3}", "seed": "4839629119468084182", "semantic_fingerprint": "sha256:b0207ba0f27012f763124322937d53b6302eeab0b72168a71479eefa00863717", "generator_version": "3.0"}
{"id": "v3_test_id_00001836", "prompt": "What value of x satisfies x + 3 = -9(x - 2) - 145?", "solution_steps": ["Expand: x + 3 = -9x + 18 - 145", "Combine constants: x + 3 = -9x - 127", "Add 9x to both sides: 10x + 3 = -127", "Subtract 3 from both sides: 10x = -130", "Divide both sides by 10: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3 = -9(x - 2) - 145", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -9, \"c\": 2, \"e\": -145, \"x\": -13}", "seed": "4224110790052622077", "semantic_fingerprint": "sha256:499e426351d1eeb59599e2d518cf34a05969ad3856609311f6e5814adc6ea37d", "generator_version": "3.0"}
{"id": "v3_test_id_00001837", "prompt": "Compute: 77 + (-87) / (-12)", "solution_steps": ["Divide: -87 / (-12) = 29/4", "Add: 77 + 29/4 = 337/4"], "final_answer": "337/4", "answer_type": "rational", "kind": "expression", "math_text": "77 + (-87) / (-12)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": -87, \"c\": -12}", "seed": "1139127640674698470", "semantic_fingerprint": "sha256:dda16c7e7fdf6560857c3eed20d2b247606f18094c1542cde0b1a16a127178c1", "generator_version": "3.0"}
{"id": "v3_test_id_00001838", "prompt": "What is -9 / ((95 - 92) * (-3 - 4)) * (-618)?", "solution_steps": ["Subtract: 95 - 92 = 3", "Subtract: -3 - 4 = -7", "Multiply: 3 * (-7) = -21", "Divide: -9 / (-21) = 3/7", "Multiply: (3/7) * (-618) = -1854/7"], "final_answer": "-1854/7", "answer_type": "rational", "kind": "expression", "math_text": "-9 / ((95 - 92) * (-3 - 4)) * (-618)", "variable": null, "family": "expression_5op", "shape": "(* (/ n (* (- n n) (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 95, \"c\": 92, \"d\": -3, \"e\": 4, \"f\": -618}", "seed": "16289039372417598623", "semantic_fingerprint": "sha256:90da97077524122532543af4edb77735b2997952beefdf49d4a11d0f139a2d9a", "generator_version": "3.0"}
{"id": "v3_test_id_00001839", "prompt": "Compute: 940 / (-51 - (-2))", "solution_steps": ["Subtract: -51 - (-2) = -49", "Divide: 940 / (-49) = -940/49"], "final_answer": "-940/49", "answer_type": "rational", "kind": "expression", "math_text": "940 / (-51 - (-2))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 940, \"b\": -51, \"c\": -2}", "seed": "14137371401392943793", "semantic_fingerprint": "sha256:a64c8c98fa92247bf36499aa7abb4211f434528948fc54160ebcfc97008b1124", "generator_version": "3.0"}
{"id": "v3_test_id_00001840", "prompt": "Calculate: -49 - 9 - 0", "solution_steps": ["Subtract: -49 - 9 = -58", "Subtract: -58 - 0 = -58"], "final_answer": "-58", "answer_type": "integer", "kind": "expression", "math_text": "-49 - 9 - 0", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": 9, \"c\": 0}", "seed": "1246246434114788863", "semantic_fingerprint": "sha256:dc5442cea7d3ab947c00968abcb8a3e18d50030d7b121bbfd522ed0c5d76dbc1", "generator_version": "3.0"}
{"id": "v3_test_id_00001841", "prompt": "Evaluate: (82 + 36 - (-52)) * (468 * (-4))", "solution_steps": ["Add: 82 + 36 = 118", "Subtract: 118 - (-52) = 170", "Multiply: 468 * (-4) = -1872", "Multiply: 170 * (-1872) = -318240"], "final_answer": "-318240", "answer_type": "integer", "kind": "expression", "math_text": "(82 + 36 - (-52)) * (468 * (-4))", "variable": null, "family": "expression_4op", "shape": "(* (- (+ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": 36, \"c\": -52, \"d\": 468, \"e\": -4}", "seed": "11266393245598459203", "semantic_fingerprint": "sha256:671314e6c82a73cffb94d6391cccb436ec04dbff08b1fc3cdf6116a400fc9ce6", "generator_version": "3.0"}
{"id": "v3_test_id_00001842", "prompt": "Solve the equation 11(x + 7) - 17 = x for x.", "solution_steps": ["Expand: 11x + 77 - 17 = x", "Combine constants: 11x + 60 = x", "Subtract x from both sides: 10x + 60 = 0", "Subtract 60 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 + 7) - 17 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 7, \"d\": -17, \"x\": -6}", "seed": "3548479654933154124", "semantic_fingerprint": "sha256:54f919b7919f5e5b3ab9bf23d2b4242c7063606c9f5e79f9beb0012af75448ab", "generator_version": "3.0"}
{"id": "v3_test_id_00001843", "prompt": "Compute: -143 - (-2 * (-140 / 592) - 90)", "solution_steps": ["Divide: -140 / 592 = -35/148", "Multiply: -2 * (-35/148) = 35/74", "Subtract: 35/74 - 90 = -6625/74", "Subtract: -143 - (-6625/74) = -3957/74"], "final_answer": "-3957/74", "answer_type": "rational", "kind": "expression", "math_text": "-143 - (-2 * (-140 / 592) - 90)", "variable": null, "family": "expression_4op", "shape": "(- n (- (* n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -143, \"b\": -2, \"c\": -140, \"d\": 592, \"e\": 90}", "seed": "12629287624101135718", "semantic_fingerprint": "sha256:150be18d033d4674e6586bd88742dda4a489d67e7256baa80daf455ff79e6f28", "generator_version": "3.0"}
{"id": "v3_test_id_00001844", "prompt": "Compute: 536 + 771 + (-52) / (-643)", "solution_steps": ["Add: 536 + 771 = 1307", "Divide: -52 / (-643) = 52/643", "Add: 1307 + 52/643 = 840453/643"], "final_answer": "840453/643", "answer_type": "rational", "kind": "expression", "math_text": "536 + 771 + (-52) / (-643)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 536, \"b\": 771, \"c\": -52, \"d\": -643}", "seed": "15647454725371279265", "semantic_fingerprint": "sha256:fb6428d77993e961429c6d58e710d2cf94d2fd8714ad3ca68f9ae8812bb1e049", "generator_version": "3.0"}
{"id": "v3_test_id_00001845", "prompt": "What is 808 / (-5)?", "solution_steps": ["Divide: 808 / (-5) = -808/5"], "final_answer": "-808/5", "answer_type": "rational", "kind": "expression", "math_text": "808 / (-5)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 808, \"b\": -5}", "seed": "11803547835126772986", "semantic_fingerprint": "sha256:a43fc899213b81cc545b95e66dd2bf79ba3b70db0e632061c5d9d4faf2d28a0d", "generator_version": "3.0"}
{"id": "v3_test_id_00001846", "prompt": "Solve the equation x + 301 = 12(x + 62) + 414 for x.", "solution_steps": ["Expand: x + 301 = 12x + 744 + 414", "Combine constants: x + 301 = 12x + 1158", "Subtract 12x from both sides: -11x + 301 = 1158", "Subtract 301 from both sides: -11x = 857", "Divide both sides by -11: x = -857/11"], "final_answer": "-857/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 301 = 12(x + 62) + 414", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 301, \"b\": 12, \"c\": 62, \"d\": 414}", "seed": "7557733296376570489", "semantic_fingerprint": "sha256:0f846df12a7cb01994c2810f560fff41a41b2a1a799c975a55f457eae26a6073", "generator_version": "3.0"}
{"id": "v3_test_id_00001847", "prompt": "Evaluate: -458 / 975 - 6", "solution_steps": ["Divide: -458 / 975 = -458/975", "Subtract: -458/975 - 6 = -6308/975"], "final_answer": "-6308/975", "answer_type": "rational", "kind": "expression", "math_text": "-458 / 975 - 6", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -458, \"b\": 975, \"c\": 6}", "seed": "2096861320507088472", "semantic_fingerprint": "sha256:e88031ea7d6726b8b1f1923cbfb2ecc24dbd510b8e70f3c05a45d589410b3ac4", "generator_version": "3.0"}
{"id": "v3_test_id_00001848", "prompt": "Calculate: -3 / (841 + (296 + 70 * (-17)))", "solution_steps": ["Multiply: 70 * (-17) = -1190", "Add: 296 + (-1190) = -894", "Add: 841 + (-894) = -53", "Divide: -3 / (-53) = 3/53"], "final_answer": "3/53", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (841 + (296 + 70 * (-17)))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ n (+ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 841, \"c\": 296, \"d\": 70, \"e\": -17}", "seed": "17871783861715214024", "semantic_fingerprint": "sha256:8c85f863a26f860194b8838a749020b5f17674b29a176ec45a6dfce2614dfc04", "generator_version": "3.0"}
{"id": "v3_test_id_00001849", "prompt": "Find x: -7x + 4 = 12x - 205", "solution_steps": ["Subtract 12x from both sides: -19x + 4 = -205", "Subtract 4 from both sides: -19x = -209", "Divide both sides by -19: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x + 4 = 12x - 205", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 4, \"c\": 12, \"e\": -205, \"x\": 11}", "seed": "8456606771282417344", "semantic_fingerprint": "sha256:57f723f8b558cc8a40b2bc92275e4b5e06eb23cc5be771cbb3c404577b8c6ddf", "generator_version": "3.0"}
{"id": "v3_test_id_00001850", "prompt": "Calculate: -43 - (-789) / (-767 - 5)", "solution_steps": ["Subtract: -767 - 5 = -772", "Divide: -789 / (-772) = 789/772", "Subtract: -43 - 789/772 = -33985/772"], "final_answer": "-33985/772", "answer_type": "rational", "kind": "expression", "math_text": "-43 - (-789) / (-767 - 5)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": -789, \"c\": -767, \"d\": 5}", "seed": "16916304171985912739", "semantic_fingerprint": "sha256:ad00f9c17fe1e4e1d02e1019950b8bdf9473951091ed357eacfb603e04382a40", "generator_version": "3.0"}
{"id": "v3_test_id_00001851", "prompt": "Compute: -51 - (21 - (-3)) - 98", "solution_steps": ["Subtract: 21 - (-3) = 24", "Subtract: -51 - 24 = -75", "Subtract: -75 - 98 = -173"], "final_answer": "-173", "answer_type": "integer", "kind": "expression", "math_text": "-51 - (21 - (-3)) - 98", "variable": null, "family": "expression_3op", "shape": "(- (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": 21, \"c\": -3, \"d\": 98}", "seed": "5088447668516193975", "semantic_fingerprint": "sha256:d3a4e0d23e1516cfad0cddb52d156137f882d0ea1eabf6db322693f8bd570ee5", "generator_version": "3.0"}
{"id": "v3_test_id_00001852", "prompt": "Evaluate: -3 - (277 + (-18 + (-537)))", "solution_steps": ["Add: -18 + (-537) = -555", "Add: 277 + (-555) = -278", "Subtract: -3 - (-278) = 275"], "final_answer": "275", "answer_type": "integer", "kind": "expression", "math_text": "-3 - (277 + (-18 + (-537)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 277, \"c\": -18, \"d\": -537}", "seed": "164000041041321098", "semantic_fingerprint": "sha256:0316887c5d7cce1c70bc98d550fdb106e62667fa89c1862f8440ea64fa839577", "generator_version": "3.0"}
{"id": "v3_test_id_00001853", "prompt": "Compute: 73 * (95 / (-57))", "solution_steps": ["Divide: 95 / (-57) = -5/3", "Multiply: 73 * (-5/3) = -365/3"], "final_answer": "-365/3", "answer_type": "rational", "kind": "expression", "math_text": "73 * (95 / (-57))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 95, \"c\": -57}", "seed": "14052559277495675569", "semantic_fingerprint": "sha256:a9b8a10265c64505db3cf78f52036184bd71d5198b4e2c13f61c3e7beabb95ad", "generator_version": "3.0"}
{"id": "v3_test_id_00001854", "prompt": "What is (-874 + 8 / (-2)) / (357 + 5)?", "solution_steps": ["Divide: 8 / (-2) = -4", "Add: -874 + (-4) = -878", "Add: 357 + 5 = 362", "Divide: -878 / 362 = -439/181"], "final_answer": "-439/181", "answer_type": "rational", "kind": "expression", "math_text": "(-874 + 8 / (-2)) / (357 + 5)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -874, \"b\": 8, \"c\": -2, \"d\": 357, \"e\": 5}", "seed": "1967683554379299144", "semantic_fingerprint": "sha256:71a49ef13a836802316a29789416ee793c927d9dd0198c31be6f7291228228b4", "generator_version": "3.0"}
{"id": "v3_test_id_00001855", "prompt": "Solve the equation 7x + 5 = -2(x + 4) + 157 for x.", "solution_steps": ["Expand: 7x + 5 = -2x - 8 + 157", "Combine constants: 7x + 5 = -2x + 149", "Add 2x to both sides: 9x + 5 = 149", "Subtract 5 from both sides: 9x = 144", "Divide both sides by 9: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 5 = -2(x + 4) + 157", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": -2, \"d\": 4, \"f\": 157, \"x\": 16}", "seed": "2626466285836756820", "semantic_fingerprint": "sha256:a78cb7a1308a2946f9db6ef4f3d69c7a7df548f81dc0b21987b9e03484fd4eb7", "generator_version": "3.0"}
{"id": "v3_test_id_00001856", "prompt": "Compute: (-642 + (-7)) / (-566 * (-8 - 6)) - (-5)", "solution_steps": ["Add: -642 + (-7) = -649", "Subtract: -8 - 6 = -14", "Multiply: -566 * (-14) = 7924", "Divide: -649 / 7924 = -649/7924", "Subtract: -649/7924 - (-5) = 38971/7924"], "final_answer": "38971/7924", "answer_type": "rational", "kind": "expression", "math_text": "(-642 + (-7)) / (-566 * (-8 - 6)) - (-5)", "variable": null, "family": "expression_5op", "shape": "(- (/ (+ n n) (* n (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -642, \"b\": -7, \"c\": -566, \"d\": -8, \"e\": 6, \"f\": -5}", "seed": "16343068295006121769", "semantic_fingerprint": "sha256:9a18cbb0ed3900ebfdbd2648183d6dc79ce80060a4c378a602090ece9236517c", "generator_version": "3.0"}
{"id": "v3_test_id_00001857", "prompt": "Compute: 487 + (-7) + (-59)", "solution_steps": ["Add: 487 + (-7) = 480", "Add: 480 + (-59) = 421"], "final_answer": "421", "answer_type": "integer", "kind": "expression", "math_text": "487 + (-7) + (-59)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 487, \"b\": -7, \"c\": -59}", "seed": "3299657675961196938", "semantic_fingerprint": "sha256:992b6085f60d5abf50b6775d44687fb50f7f8c29dc94595a90d379beed368d45", "generator_version": "3.0"}
{"id": "v3_test_id_00001858", "prompt": "Evaluate: -962 * 5 * (-48 + (-28 - 57))", "solution_steps": ["Multiply: -962 * 5 = -4810", "Subtract: -28 - 57 = -85", "Add: -48 + (-85) = -133", "Multiply: -4810 * (-133) = 639730"], "final_answer": "639730", "answer_type": "integer", "kind": "expression", "math_text": "-962 * 5 * (-48 + (-28 - 57))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -962, \"b\": 5, \"c\": -48, \"d\": -28, \"e\": 57}", "seed": "18382733645348499594", "semantic_fingerprint": "sha256:61f8618d2d0dc26bbec9e3f6fd266f8a5ae9218d279bef1daa47ac1ebabb9f4f", "generator_version": "3.0"}
{"id": "v3_test_id_00001859", "prompt": "Solve for x: 6x + 1 = 7", "solution_steps": ["Subtract 1 from both sides: 6x = 6", "Divide both sides by 6: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x + 1 = 7", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 1, \"d\": 7, \"x\": 1}", "seed": "2105536295624819201", "semantic_fingerprint": "sha256:77f0b32c59970a224feb272c07665ad36bdb831dbeae19867ae0bd199fab614f", "generator_version": "3.0"}
{"id": "v3_test_id_00001860", "prompt": "Calculate: (7 + 344) * (62 - 5)", "solution_steps": ["Add: 7 + 344 = 351", "Subtract: 62 - 5 = 57", "Multiply: 351 * 57 = 20007"], "final_answer": "20007", "answer_type": "integer", "kind": "expression", "math_text": "(7 + 344) * (62 - 5)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 344, \"c\": 62, \"d\": 5}", "seed": "570884084596477928", "semantic_fingerprint": "sha256:d99488b9b0841463864ad5730bda98d2a335bebd5ae96dde869bb491547355cd", "generator_version": "3.0"}
{"id": "v3_test_id_00001861", "prompt": "Compute: (-30 + (-74 - (-8))) / (-757)", "solution_steps": ["Subtract: -74 - (-8) = -66", "Add: -30 + (-66) = -96", "Divide: -96 / (-757) = 96/757"], "final_answer": "96/757", "answer_type": "rational", "kind": "expression", "math_text": "(-30 + (-74 - (-8))) / (-757)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": -74, \"c\": -8, \"d\": -757}", "seed": "16826118292366451832", "semantic_fingerprint": "sha256:080330a5d2011f4c1b5156abf1290482049d31048502d2c2eb9a9a259f315893", "generator_version": "3.0"}
{"id": "v3_test_id_00001862", "prompt": "Solve the equation -4x + 333 = -5(x - 70) for x.", "solution_steps": ["Expand: -4x + 333 = -5x + 350", "Add 5x to both sides: x + 333 = 350", "Subtract 333 from both sides: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x + 333 = -5(x - 70)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -5, \"c\": 70, \"e\": 333, \"x\": 17}", "seed": "966804852583356042", "semantic_fingerprint": "sha256:1ca47cb640f0a6d23ffcb4058ff5345db042a67da3620fd46b4e04df19435a5a", "generator_version": "3.0"}
{"id": "v3_test_id_00001863", "prompt": "Find x: x + 584 = -2(x + 31) + 613", "solution_steps": ["Expand: x + 584 = -2x - 62 + 613", "Combine constants: x + 584 = -2x + 551", "Add 2x to both sides: 3x + 584 = 551", "Subtract 584 from both sides: 3x = -33", "Divide both sides by 3: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 584 = -2(x + 31) + 613", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 584, \"b\": -2, \"c\": 31, \"e\": 613, \"x\": -11}", "seed": "4751682734967520575", "semantic_fingerprint": "sha256:43105c2828da1ec14d65f9bfc981f40d25ffd7f3e19a470d643839bbbf28f4e9", "generator_version": "3.0"}
{"id": "v3_test_id_00001864", "prompt": "Evaluate: 19 * 1 / ((-1 - (-7)) * (-2))", "solution_steps": ["Multiply: 19 * 1 = 19", "Subtract: -1 - (-7) = 6", "Multiply: 6 * (-2) = -12", "Divide: 19 / (-12) = -19/12"], "final_answer": "-19/12", "answer_type": "rational", "kind": "expression", "math_text": "19 * 1 / ((-1 - (-7)) * (-2))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (* (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": 1, \"c\": -1, \"d\": -7, \"e\": -2}", "seed": "8381472774686971438", "semantic_fingerprint": "sha256:a5216819524ec139b74e8f1283ce6c1d401596dcfc845175025dfc9a0a5cda74", "generator_version": "3.0"}
{"id": "v3_test_id_00001865", "prompt": "What is (402 + (-307)) / 491?", "solution_steps": ["Add: 402 + (-307) = 95", "Divide: 95 / 491 = 95/491"], "final_answer": "95/491", "answer_type": "rational", "kind": "expression", "math_text": "(402 + (-307)) / 491", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 402, \"b\": -307, \"c\": 491}", "seed": "1107055335859532850", "semantic_fingerprint": "sha256:6dd05ac9d6af32c2d5495dc0489f75de4f2e35a239f5589c4c7c1639c57e344f", "generator_version": "3.0"}
{"id": "v3_test_id_00001866", "prompt": "Evaluate: 998 + (-537) + (-593) + (51 - 492)", "solution_steps": ["Add: 998 + (-537) = 461", "Add: 461 + (-593) = -132", "Subtract: 51 - 492 = -441", "Add: -132 + (-441) = -573"], "final_answer": "-573", "answer_type": "integer", "kind": "expression", "math_text": "998 + (-537) + (-593) + (51 - 492)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 998, \"b\": -537, \"c\": -593, \"d\": 51, \"e\": 492}", "seed": "13098034291860447784", "semantic_fingerprint": "sha256:5a904d00f850366941ea46c57b3c018e1f81b821518ba55b66291d78e3530896", "generator_version": "3.0"}
{"id": "v3_test_id_00001867", "prompt": "Calculate: 897 + 764", "solution_steps": ["Add: 897 + 764 = 1661"], "final_answer": "1661", "answer_type": "integer", "kind": "expression", "math_text": "897 + 764", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 897, \"b\": 764}", "seed": "7228072354325367595", "semantic_fingerprint": "sha256:d2c4d5724cb46f1ee7eece6542c4937a687b1c63738bf10677b7056b7fb46f9c", "generator_version": "3.0"}
{"id": "v3_test_id_00001868", "prompt": "What is (801 + 681 * (-4)) / (6 - 86)?", "solution_steps": ["Multiply: 681 * (-4) = -2724", "Add: 801 + (-2724) = -1923", "Subtract: 6 - 86 = -80", "Divide: -1923 / (-80) = 1923/80"], "final_answer": "1923/80", "answer_type": "rational", "kind": "expression", "math_text": "(801 + 681 * (-4)) / (6 - 86)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (* n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 801, \"b\": 681, \"c\": -4, \"d\": 6, \"e\": 86}", "seed": "11294988076310323610", "semantic_fingerprint": "sha256:30f4a760ac3fcbe918d6bb0866e821fe3bf058eb15ab74f2044cdd7c9d46fd68", "generator_version": "3.0"}
{"id": "v3_test_id_00001869", "prompt": "Solve for x: 8(x - 1) + 751 = -2(x + 374) + 5", "solution_steps": ["Expand: 8x - 8 + 751 = -2(x + 374) + 5", "Expand: 8x - 8 + 751 = -2x - 748 + 5", "Combine constants: 8x + 743 = -2x - 748 + 5", "Combine constants: 8x + 743 = -2x - 743", "Add 2x to both sides: 10x + 743 = -743", "Subtract 743 from both sides: 10x = -1486", "Divide both sides by 10: x = -743/5"], "final_answer": "-743/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 1) + 751 = -2(x + 374) + 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1, \"c\": 751, \"d\": -2, \"e\": 374, \"f\": 5}", "seed": "4783290577954583659", "semantic_fingerprint": "sha256:7afde1d205c0c3bddb588be70a2ccd15cbcd573bc6ca33d5f622f655f2cfd2ec", "generator_version": "3.0"}
{"id": "v3_test_id_00001870", "prompt": "Solve the equation 12(x - 35) - 31 = -691 for x.", "solution_steps": ["Expand: 12x - 420 - 31 = -691", "Combine constants: 12x - 451 = -691", "Add 451 to both sides: 12x = -240", "Divide both sides by 12: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 35) - 31 = -691", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 35, \"c\": 31, \"e\": -691, \"x\": -20}", "seed": "804332370531205896", "semantic_fingerprint": "sha256:1fe770c48f2a5c29d26d1751c12e70129a84baaf358c3cf27417445bf71de155", "generator_version": "3.0"}
{"id": "v3_test_id_00001871", "prompt": "Solve for x: 11(x + 96) - 91 = 3(x + 87)", "solution_steps": ["Expand: 11x + 1056 - 91 = 3(x + 87)", "Expand: 11x + 1056 - 91 = 3x + 261", "Combine constants: 11x + 965 = 3x + 261", "Subtract 3x from both sides: 8x + 965 = 261", "Subtract 965 from both sides: 8x = -704", "Divide both sides by 8: x = -88"], "final_answer": "-88", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 96) - 91 = 3(x + 87)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 96, \"c\": 91, \"d\": 3, \"e\": 87}", "seed": "15330883811562558033", "semantic_fingerprint": "sha256:980bbecc01ff9d33fed8165952cbfa6004034729a6757075345868ed021c7198", "generator_version": "3.0"}
{"id": "v3_test_id_00001872", "prompt": "Compute: -90 / (-925 - (-711)) / (-11 - 64)", "solution_steps": ["Subtract: -925 - (-711) = -214", "Divide: -90 / (-214) = 45/107", "Subtract: -11 - 64 = -75", "Divide: (45/107) / (-75) = -3/535"], "final_answer": "-3/535", "answer_type": "rational", "kind": "expression", "math_text": "-90 / (-925 - (-711)) / (-11 - 64)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": -925, \"c\": -711, \"d\": -11, \"e\": 64}", "seed": "4445062808955276260", "semantic_fingerprint": "sha256:dba2849825c1b804904da6cd307eec0ec26fd69bcdf79cfaf863399283b4c0d9", "generator_version": "3.0"}
{"id": "v3_test_id_00001873", "prompt": "Calculate: -28 * (2 + (-376))", "solution_steps": ["Add: 2 + (-376) = -374", "Multiply: -28 * (-374) = 10472"], "final_answer": "10472", "answer_type": "integer", "kind": "expression", "math_text": "-28 * (2 + (-376))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": 2, \"c\": -376}", "seed": "17508821339475120940", "semantic_fingerprint": "sha256:ff2d26a91122f60ad3c9f276ef5a0521b0879fec743dc06eb8e3d8525c085e1a", "generator_version": "3.0"}
{"id": "v3_test_id_00001874", "prompt": "Evaluate: -735 + 155 / (6 - (-3 + (-14)))", "solution_steps": ["Add: -3 + (-14) = -17", "Subtract: 6 - (-17) = 23", "Divide: 155 / 23 = 155/23", "Add: -735 + 155/23 = -16750/23"], "final_answer": "-16750/23", "answer_type": "rational", "kind": "expression", "math_text": "-735 + 155 / (6 - (-3 + (-14)))", "variable": null, "family": "expression_4op", "shape": "(+ n (/ n (- n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -735, \"b\": 155, \"c\": 6, \"d\": -3, \"e\": -14}", "seed": "3460117211254665858", "semantic_fingerprint": "sha256:1867ae2db35abd4faa5848561edfe08132d6bb597a779cd1ee9947ddd714e1e0", "generator_version": "3.0"}
{"id": "v3_test_id_00001875", "prompt": "Solve the equation 7x + 18 = x for x.", "solution_steps": ["Subtract x from both sides: 6x + 18 = 0", "Subtract 18 from both sides: 6x = -18", "Divide both sides by 6: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 18 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"c\": 18, \"x\": -3}", "seed": "17874056133512753896", "semantic_fingerprint": "sha256:bd5dd238880752d960242babd6a7d289d6cc76c2146b02b975ff17b3a846d2fe", "generator_version": "3.0"}
{"id": "v3_test_id_00001876", "prompt": "Compute: 0 / (-600) * (-7)", "solution_steps": ["Divide: 0 / (-600) = 0", "Multiply: 0 * (-7) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-600) * (-7)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -600, \"c\": -7}", "seed": "4206492557173438890", "semantic_fingerprint": "sha256:68f5bc02fe9abe9b0986b91161ca9261d2e5bab73a09de8c9fbf643123c28c45", "generator_version": "3.0"}
{"id": "v3_test_id_00001877", "prompt": "Compute: 51 / (-553 / (-30))", "solution_steps": ["Divide: -553 / (-30) = 553/30", "Divide: 51 / (553/30) = 1530/553"], "final_answer": "1530/553", "answer_type": "rational", "kind": "expression", "math_text": "51 / (-553 / (-30))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": -553, \"c\": -30}", "seed": "15636018667762123368", "semantic_fingerprint": "sha256:bcc353884359535f888c8dc795803dea09ad58724fdd207fe89133764c1dd32c", "generator_version": "3.0"}
{"id": "v3_test_id_00001878", "prompt": "Compute: (33 - (74 + 0) * 83 + (-5)) / (-55)", "solution_steps": ["Add: 74 + 0 = 74", "Multiply: 74 * 83 = 6142", "Subtract: 33 - 6142 = -6109", "Add: -6109 + (-5) = -6114", "Divide: -6114 / (-55) = 6114/55"], "final_answer": "6114/55", "answer_type": "rational", "kind": "expression", "math_text": "(33 - (74 + 0) * 83 + (-5)) / (-55)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- n (* (+ n n) n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": 74, \"c\": 0, \"d\": 83, \"e\": -5, \"f\": -55}", "seed": "8951436577002196300", "semantic_fingerprint": "sha256:64995b3fdb6579a840f644ee022346ced27354ff0d30d4ce570ccb612cc53f10", "generator_version": "3.0"}
{"id": "v3_test_id_00001879", "prompt": "Find x: -10(x - 21) + 9 = x + 230", "solution_steps": ["Expand: -10x + 210 + 9 = x + 230", "Combine constants: -10x + 219 = x + 230", "Subtract x from both sides: -11x + 219 = 230", "Subtract 219 from both sides: -11x = 11", "Divide both sides by -11: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 21) + 9 = x + 230", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 21, \"c\": 9, \"e\": 230, \"x\": -1}", "seed": "5852978952063660812", "semantic_fingerprint": "sha256:c13b92554661990c347526163b2863f324c42af733260ab03d70c8bdeddf4e54", "generator_version": "3.0"}
{"id": "v3_test_id_00001880", "prompt": "Evaluate: -269 * (-593) + 466 - (-2)", "solution_steps": ["Multiply: -269 * (-593) = 159517", "Add: 159517 + 466 = 159983", "Subtract: 159983 - (-2) = 159985"], "final_answer": "159985", "answer_type": "integer", "kind": "expression", "math_text": "-269 * (-593) + 466 - (-2)", "variable": null, "family": "expression_3op", "shape": "(- (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -269, \"b\": -593, \"c\": 466, \"d\": -2}", "seed": "12953914227944007684", "semantic_fingerprint": "sha256:b2ca53c7de09e0858263fb7e6732963c83884cad171212a04a7bd8b96342334b", "generator_version": "3.0"}
{"id": "v3_test_id_00001881", "prompt": "What value of x satisfies 10(x + 35) = -7(x - 96)?", "solution_steps": ["Expand: 10x + 350 = -7(x - 96)", "Expand: 10x + 350 = -7x + 672", "Add 7x to both sides: 17x + 350 = 672", "Subtract 350 from both sides: 17x = 322", "Divide both sides by 17: x = 322/17"], "final_answer": "322/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 35) = -7(x - 96)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 35, \"c\": -7, \"d\": 96}", "seed": "6094032903722231664", "semantic_fingerprint": "sha256:8e72d856c7baa656e211548b165e436801262ac9c2a78f03868ae27b58e9942b", "generator_version": "3.0"}
{"id": "v3_test_id_00001882", "prompt": "Compute: -18 + 85 / (-5)", "solution_steps": ["Divide: 85 / (-5) = -17", "Add: -18 + (-17) = -35"], "final_answer": "-35", "answer_type": "integer", "kind": "expression", "math_text": "-18 + 85 / (-5)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": 85, \"c\": -5}", "seed": "11353958811285439443", "semantic_fingerprint": "sha256:c875339e3ea9bd376a5848b630532180e14da9bbddd4f107fd21841642a99f34", "generator_version": "3.0"}
{"id": "v3_test_id_00001883", "prompt": "What is -89 * (0 + 56 + (-102) * 99 / 25)?", "solution_steps": ["Add: 0 + 56 = 56", "Multiply: -102 * 99 = -10098", "Divide: -10098 / 25 = -10098/25", "Add: 56 + (-10098/25) = -8698/25", "Multiply: -89 * (-8698/25) = 774122/25"], "final_answer": "774122/25", "answer_type": "rational", "kind": "expression", "math_text": "-89 * (0 + 56 + (-102) * 99 / 25)", "variable": null, "family": "expression_5op", "shape": "(* n (+ (+ n n) (/ (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -89, \"b\": 0, \"c\": 56, \"d\": -102, \"e\": 99, \"f\": 25}", "seed": "8223167321882597769", "semantic_fingerprint": "sha256:161495a2d319d7edc1b9413bee73194a5d1439ef4dd657e8437704046fd6c193", "generator_version": "3.0"}
{"id": "v3_test_id_00001884", "prompt": "Compute: 892 + (-15) + (599 + 7)", "solution_steps": ["Add: 892 + (-15) = 877", "Add: 599 + 7 = 606", "Add: 877 + 606 = 1483"], "final_answer": "1483", "answer_type": "integer", "kind": "expression", "math_text": "892 + (-15) + (599 + 7)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 892, \"b\": -15, \"c\": 599, \"d\": 7}", "seed": "690855094849126623", "semantic_fingerprint": "sha256:12e1b304da1ce0deb663463024f706a5f2ec21296649f371ad5b93bba40aec79", "generator_version": "3.0"}
{"id": "v3_test_id_00001885", "prompt": "What value of x satisfies 2(x - 68) = 3(x - 5) - 128?", "solution_steps": ["Expand: 2x - 136 = 3(x - 5) - 128", "Expand: 2x - 136 = 3x - 15 - 128", "Combine constants: 2x - 136 = 3x - 143", "Subtract 3x from both sides: -x - 136 = -143", "Add 136 to both sides: -x = -7", "Divide both sides by -1: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 68) = 3(x - 5) - 128", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 68, \"c\": 3, \"d\": 5, \"f\": -128, \"x\": 7}", "seed": "1554875745200114633", "semantic_fingerprint": "sha256:0bcd22a40e2a7b3ec0e3ea3dc36435f5acbba6bed5689d7a13f45d2052602470", "generator_version": "3.0"}
{"id": "v3_test_id_00001886", "prompt": "Find x: x - 92 = 8(x + 64) + 964", "solution_steps": ["Expand: x - 92 = 8x + 512 + 964", "Combine constants: x - 92 = 8x + 1476", "Subtract 8x from both sides: -7x - 92 = 1476", "Add 92 to both sides: -7x = 1568", "Divide both sides by -7: x = -224"], "final_answer": "-224", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 92 = 8(x + 64) + 964", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": 8, \"c\": 64, \"d\": 964}", "seed": "9421745907974165208", "semantic_fingerprint": "sha256:1f2714edfa319727e0cac9e4ec5959e71058c4a50c5604f3267314bbd5bb78ef", "generator_version": "3.0"}
{"id": "v3_test_id_00001887", "prompt": "Solve the equation 7x - 88 = x + 20 for x.", "solution_steps": ["Subtract x from both sides: 6x - 88 = 20", "Add 88 to both sides: 6x = 108", "Divide both sides by 6: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 88 = x + 20", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 88, \"d\": 20, \"x\": 18}", "seed": "6865065819960730450", "semantic_fingerprint": "sha256:517a871dc53bb7d0a198bc965e8e0364be8bb766f1dffb6bc62bad6b6dc66296", "generator_version": "3.0"}
{"id": "v3_test_id_00001888", "prompt": "Find x: 3(x + 83) + 7 = 8x + 291", "solution_steps": ["Expand: 3x + 249 + 7 = 8x + 291", "Combine constants: 3x + 256 = 8x + 291", "Subtract 8x from both sides: -5x + 256 = 291", "Subtract 256 from both sides: -5x = 35", "Divide both sides by -5: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 83) + 7 = 8x + 291", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 83, \"c\": 7, \"d\": 8, \"f\": 291, \"x\": -7}", "seed": "13815779201928032820", "semantic_fingerprint": "sha256:6b2a57038363c1823fef288a890d7d8723ba1ddd4ce9172b47e51c4665658cd4", "generator_version": "3.0"}
{"id": "v3_test_id_00001889", "prompt": "Compute: -9 - 14", "solution_steps": ["Subtract: -9 - 14 = -23"], "final_answer": "-23", "answer_type": "integer", "kind": "expression", "math_text": "-9 - 14", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 14}", "seed": "7953133661230077315", "semantic_fingerprint": "sha256:eddf55d00813260fadd007e2edc01aea3a1abc0923f88bf198a3e37dc0cd99e8", "generator_version": "3.0"}
{"id": "v3_test_id_00001890", "prompt": "What is -6 / 12 + (-1 + (-550)) / (-845)?", "solution_steps": ["Divide: -6 / 12 = -1/2", "Add: -1 + (-550) = -551", "Divide: -551 / (-845) = 551/845", "Add: -1/2 + 551/845 = 257/1690"], "final_answer": "257/1690", "answer_type": "rational", "kind": "expression", "math_text": "-6 / 12 + (-1 + (-550)) / (-845)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 12, \"c\": -1, \"d\": -550, \"e\": -845}", "seed": "13282394943074370144", "semantic_fingerprint": "sha256:6d5ebc1f3bd4a7c3769cce34ed1e0fb043c329690475981152c4adc8d85d3af0", "generator_version": "3.0"}
{"id": "v3_test_id_00001891", "prompt": "Evaluate: 779 - 19 + (-8)", "solution_steps": ["Subtract: 779 - 19 = 760", "Add: 760 + (-8) = 752"], "final_answer": "752", "answer_type": "integer", "kind": "expression", "math_text": "779 - 19 + (-8)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 779, \"b\": 19, \"c\": -8}", "seed": "16764065462193339990", "semantic_fingerprint": "sha256:a4acbf6558b5acc78bfeffbe20fa500a518c3e426f91cde7970d5d3d706a51bd", "generator_version": "3.0"}
{"id": "v3_test_id_00001892", "prompt": "Solve the equation 9x - 673 = -5(x + 87) for x.", "solution_steps": ["Expand: 9x - 673 = -5x - 435", "Add 5x to both sides: 14x - 673 = -435", "Add 673 to both sides: 14x = 238", "Divide both sides by 14: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 673 = -5(x + 87)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -5, \"c\": 87, \"e\": -673, \"x\": 17}", "seed": "10607031270009491748", "semantic_fingerprint": "sha256:1ce6e170a6b449b331b53ec44992c24dccd9972876d211bfb29f9149b56b2b56", "generator_version": "3.0"}
{"id": "v3_test_id_00001893", "prompt": "Find x: 6x - 66 = -4(x + 4)", "solution_steps": ["Expand: 6x - 66 = -4x - 16", "Add 4x to both sides: 10x - 66 = -16", "Add 66 to both sides: 10x = 50", "Divide both sides by 10: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 66 = -4(x + 4)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -4, \"c\": 4, \"e\": -66, \"x\": 5}", "seed": "16986013142050543337", "semantic_fingerprint": "sha256:0ea7d3551c852ad8dd7f189a1e1824dde3e150cfd7d2aa5d623e2bea0e3c1f5d", "generator_version": "3.0"}
{"id": "v3_test_id_00001894", "prompt": "Solve for x: 12(x - 81) + 939 = x", "solution_steps": ["Expand: 12x - 972 + 939 = x", "Combine constants: 12x - 33 = x", "Subtract x from both sides: 11x - 33 = 0", "Add 33 to both sides: 11x = 33", "Divide both sides by 11: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 81) + 939 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 81, \"d\": 939, \"x\": 3}", "seed": "13251013170185062774", "semantic_fingerprint": "sha256:8aff0d235454f067880ae8abd8c93bdf25342c61e4c983334d3d3eacf960c97b", "generator_version": "3.0"}
{"id": "v3_test_id_00001895", "prompt": "What is -69 * (-7)?", "solution_steps": ["Multiply: -69 * (-7) = 483"], "final_answer": "483", "answer_type": "integer", "kind": "expression", "math_text": "-69 * (-7)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": -7}", "seed": "11948389044709259858", "semantic_fingerprint": "sha256:c810314c4b8beb80a7481be89bc4c076b005640318a21309378ce06e5e7de9f2", "generator_version": "3.0"}
{"id": "v3_test_id_00001896", "prompt": "What value of x satisfies 7(x - 18) - 11 = -242?", "solution_steps": ["Expand: 7x - 126 - 11 = -242", "Combine constants: 7x - 137 = -242", "Add 137 to both sides: 7x = -105", "Divide both sides by 7: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 18) - 11 = -242", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 18, \"c\": 11, \"e\": -242, \"x\": -15}", "seed": "11245789936469383310", "semantic_fingerprint": "sha256:da4e95b931b6f723ba59d84090135e081e0b282af1fde5e8093b2fc894abff1f", "generator_version": "3.0"}
{"id": "v3_test_id_00001897", "prompt": "What is -7 / (189 / (-9))?", "solution_steps": ["Divide: 189 / (-9) = -21", "Divide: -7 / (-21) = 1/3"], "final_answer": "1/3", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (189 / (-9))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 189, \"c\": -9}", "seed": "17382661393831217893", "semantic_fingerprint": "sha256:8fd80c49722f197b4226c6982a9c64d04768136d17a482503880228759b9b0fd", "generator_version": "3.0"}
{"id": "v3_test_id_00001898", "prompt": "Evaluate: -555 * 3 * (-184)", "solution_steps": ["Multiply: -555 * 3 = -1665", "Multiply: -1665 * (-184) = 306360"], "final_answer": "306360", "answer_type": "integer", "kind": "expression", "math_text": "-555 * 3 * (-184)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -555, \"b\": 3, \"c\": -184}", "seed": "6140505789291890679", "semantic_fingerprint": "sha256:1bee832cb37b698a5d00853ba06158a2b1c829468a86dde6de904c7cd79b0bfa", "generator_version": "3.0"}
{"id": "v3_test_id_00001899", "prompt": "Calculate: 99 / (-2)", "solution_steps": ["Divide: 99 / (-2) = -99/2"], "final_answer": "-99/2", "answer_type": "rational", "kind": "expression", "math_text": "99 / (-2)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": -2}", "seed": "10671852784601940411", "semantic_fingerprint": "sha256:055326b5f43a6413f5abb43b8b268754f7ae9626f719f6e1f6bb2f563d19b694", "generator_version": "3.0"}
{"id": "v3_test_id_00001900", "prompt": "What is -903 / (-3) / (-624 / 82 - (-8))?", "solution_steps": ["Divide: -903 / (-3) = 301", "Divide: -624 / 82 = -312/41", "Subtract: -312/41 - (-8) = 16/41", "Divide: 301 / (16/41) = 12341/16"], "final_answer": "12341/16", "answer_type": "rational", "kind": "expression", "math_text": "-903 / (-3) / (-624 / 82 - (-8))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -903, \"b\": -3, \"c\": -624, \"d\": 82, \"e\": -8}", "seed": "16139278588430604316", "semantic_fingerprint": "sha256:6ed168ed9b52fd11bdf57e0145441d2a3a289916b52703c279a71b918529a916", "generator_version": "3.0"}
{"id": "v3_test_id_00001901", "prompt": "What is 163 * 7?", "solution_steps": ["Multiply: 163 * 7 = 1141"], "final_answer": "1141", "answer_type": "integer", "kind": "expression", "math_text": "163 * 7", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 163, \"b\": 7}", "seed": "807237711132129263", "semantic_fingerprint": "sha256:ec43fb26a0a27a21978a2266159f76df6270eb59091f697b46ddba89f73cf767", "generator_version": "3.0"}
{"id": "v3_test_id_00001902", "prompt": "What value of x satisfies x - 607 = 8x - 705?", "solution_steps": ["Subtract 8x from both sides: -7x - 607 = -705", "Add 607 to both sides: -7x = -98", "Divide both sides by -7: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 607 = 8x - 705", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 607, \"b\": 8, \"d\": -705, \"x\": 14}", "seed": "3286602225618450996", "semantic_fingerprint": "sha256:ea4ece42199a2bee98b4c4d3036fb29c5fcfecdf3d5bdfd276ee702304281677", "generator_version": "3.0"}
{"id": "v3_test_id_00001903", "prompt": "Calculate: 566 + (-22)", "solution_steps": ["Add: 566 + (-22) = 544"], "final_answer": "544", "answer_type": "integer", "kind": "expression", "math_text": "566 + (-22)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 566, \"b\": -22}", "seed": "12749973664066301422", "semantic_fingerprint": "sha256:866f7c273244498bfa2a3736bab66ef679df7f354d60e44b9da419ea9a198ae8", "generator_version": "3.0"}
{"id": "v3_test_id_00001904", "prompt": "What value of x satisfies 11(x - 6) + 84 = x - 6?", "solution_steps": ["Expand: 11x - 66 + 84 = x - 6", "Combine constants: 11x + 18 = x - 6", "Subtract x from both sides: 10x + 18 = -6", "Subtract 18 from both sides: 10x = -24", "Divide both sides by 10: x = -12/5"], "final_answer": "-12/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 6) + 84 = x - 6", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 6, \"c\": 84, \"d\": 6}", "seed": "2606351827465301519", "semantic_fingerprint": "sha256:5e4d13ac0fff0795cb670b38355d248c48bade7a565ebc84e589cd2c0c42023a", "generator_version": "3.0"}
{"id": "v3_test_id_00001905", "prompt": "Find x: x + 4 = 6x - 16", "solution_steps": ["Subtract 6x from both sides: -5x + 4 = -16", "Subtract 4 from both sides: -5x = -20", "Divide both sides by -5: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4 = 6x - 16", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"d\": -16, \"x\": 4}", "seed": "16683062160992579443", "semantic_fingerprint": "sha256:4307ef356c09e2e66e886e5515f018ff41eebd18195c868467adc194a139bdf5", "generator_version": "3.0"}
{"id": "v3_test_id_00001906", "prompt": "Evaluate: 99 + 28", "solution_steps": ["Add: 99 + 28 = 127"], "final_answer": "127", "answer_type": "integer", "kind": "expression", "math_text": "99 + 28", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": 28}", "seed": "1698288310914936451", "semantic_fingerprint": "sha256:1350d95fb0f9c18309963ed8a45eba15a66799884bf74ee0ea588f239c6a6188", "generator_version": "3.0"}
{"id": "v3_test_id_00001907", "prompt": "Find x: x + 80 = -2(x + 9) + 59", "solution_steps": ["Expand: x + 80 = -2x - 18 + 59", "Combine constants: x + 80 = -2x + 41", "Add 2x to both sides: 3x + 80 = 41", "Subtract 80 from both sides: 3x = -39", "Divide both sides by 3: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 80 = -2(x + 9) + 59", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": -2, \"c\": 9, \"e\": 59, \"x\": -13}", "seed": "5442403875439743735", "semantic_fingerprint": "sha256:efad7ebc228d1087877847199f5aec8887c5a6fe7347f6969fe0aa6bf47be3ee", "generator_version": "3.0"}
{"id": "v3_test_id_00001908", "prompt": "Solve for x: x - 35 = 11(x + 56) - 604", "solution_steps": ["Expand: x - 35 = 11x + 616 - 604", "Combine constants: x - 35 = 11x + 12", "Subtract 11x from both sides: -10x - 35 = 12", "Add 35 to both sides: -10x = 47", "Divide both sides by -10: x = -47/10"], "final_answer": "-47/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 35 = 11(x + 56) - 604", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": 11, \"c\": 56, \"d\": 604}", "seed": "18376825919196883046", "semantic_fingerprint": "sha256:82c79ab4bb40c0083ef747ab179ea71ef64deb67c77d846cabcbce56151e002d", "generator_version": "3.0"}
{"id": "v3_test_id_00001909", "prompt": "Compute: 7 + (39 + 0 - 6)", "solution_steps": ["Add: 39 + 0 = 39", "Subtract: 39 - 6 = 33", "Add: 7 + 33 = 40"], "final_answer": "40", "answer_type": "integer", "kind": "expression", "math_text": "7 + (39 + 0 - 6)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 39, \"c\": 0, \"d\": 6}", "seed": "7899355079445795505", "semantic_fingerprint": "sha256:43101e60e9daf701a8c9eb4f8466e79d578021f41d3eaa76d18f8eade98c2fdf", "generator_version": "3.0"}
{"id": "v3_test_id_00001910", "prompt": "What is 184 / (550 - 145 / (-7))?", "solution_steps": ["Divide: 145 / (-7) = -145/7", "Subtract: 550 - (-145/7) = 3995/7", "Divide: 184 / (3995/7) = 1288/3995"], "final_answer": "1288/3995", "answer_type": "rational", "kind": "expression", "math_text": "184 / (550 - 145 / (-7))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 184, \"b\": 550, \"c\": 145, \"d\": -7}", "seed": "8044827570528280407", "semantic_fingerprint": "sha256:aaf369f8659b84c7a22bfcb289b5bdc158e98c0dfe0daa0ce4b82980a18de068", "generator_version": "3.0"}
{"id": "v3_test_id_00001911", "prompt": "Calculate: 222 + (-700 - (-4))", "solution_steps": ["Subtract: -700 - (-4) = -696", "Add: 222 + (-696) = -474"], "final_answer": "-474", "answer_type": "integer", "kind": "expression", "math_text": "222 + (-700 - (-4))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 222, \"b\": -700, \"c\": -4}", "seed": "4268522833373448843", "semantic_fingerprint": "sha256:72ade4f7e9830d70f9070c2d43fb16693491889eea56ef37006b4e718966882d", "generator_version": "3.0"}
{"id": "v3_test_id_00001912", "prompt": "Solve for x: -11x - 81 = 7", "solution_steps": ["Add 81 to both sides: -11x = 88", "Divide both sides by -11: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 81 = 7", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 81, \"d\": 7, \"x\": -8}", "seed": "14435957871574608565", "semantic_fingerprint": "sha256:c0ecb94ae22221fdb6b7855833506b4adaa54f846f3e974a934e1ff888f78eff", "generator_version": "3.0"}
{"id": "v3_test_id_00001913", "prompt": "What value of x satisfies 8x = -8x?", "solution_steps": ["Add 8x to both sides: 16x = 0", "Divide both sides by 16: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = -8x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -8}", "seed": "5244607029333417641", "semantic_fingerprint": "sha256:98bc8d54f6ab0c5b751d69bb2b6b3c3ac3003ae666c31d9781470c465b7597a7", "generator_version": "3.0"}
{"id": "v3_test_id_00001914", "prompt": "What value of x satisfies 10x + 76 = 2(x - 12) + 4?", "solution_steps": ["Expand: 10x + 76 = 2x - 24 + 4", "Combine constants: 10x + 76 = 2x - 20", "Subtract 2x from both sides: 8x + 76 = -20", "Subtract 76 from both sides: 8x = -96", "Divide both sides by 8: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x + 76 = 2(x - 12) + 4", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 76, \"c\": 2, \"d\": 12, \"f\": 4, \"x\": -12}", "seed": "2299888331183022353", "semantic_fingerprint": "sha256:6455061356c1313e061f019c5a4b72a1d4780ac8edd8b1fda852ebd15bb2ac63", "generator_version": "3.0"}
{"id": "v3_test_id_00001915", "prompt": "What value of x satisfies -3(x - 8) + 108 = 8x?", "solution_steps": ["Expand: -3x + 24 + 108 = 8x", "Combine constants: -3x + 132 = 8x", "Subtract 8x from both sides: -11x + 132 = 0", "Subtract 132 from both sides: -11x = -132", "Divide both sides by -11: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 8) + 108 = 8x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 8, \"c\": 8, \"e\": 108, \"x\": 12}", "seed": "15467224778757461016", "semantic_fingerprint": "sha256:a5f30b6fae7a15e2aa466dfd8f5f5b4237e3806e7c86a24c05284724cc4d7b6b", "generator_version": "3.0"}
{"id": "v3_test_id_00001916", "prompt": "Calculate: 0 * 42 * (-2 + (-82))", "solution_steps": ["Multiply: 0 * 42 = 0", "Add: -2 + (-82) = -84", "Multiply: 0 * (-84) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * 42 * (-2 + (-82))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 42, \"c\": -2, \"d\": -82}", "seed": "4956132647643998964", "semantic_fingerprint": "sha256:24f584d692f41ed57adc8fc4cbb6d94fe7c7c99d48f8b70d48a96446b5cc9ca3", "generator_version": "3.0"}
{"id": "v3_test_id_00001917", "prompt": "Find x: x + 8 = -2(x + 10) + 8", "solution_steps": ["Expand: x + 8 = -2x - 20 + 8", "Combine constants: x + 8 = -2x - 12", "Add 2x to both sides: 3x + 8 = -12", "Subtract 8 from both sides: 3x = -20", "Divide both sides by 3: x = -20/3"], "final_answer": "-20/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 8 = -2(x + 10) + 8", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -2, \"c\": 10, \"d\": 8}", "seed": "13991493952137628747", "semantic_fingerprint": "sha256:b8d93830135bfb31c7ba3a321929fc3aa93c880da1a6b6e005622fe87d191518", "generator_version": "3.0"}
{"id": "v3_test_id_00001918", "prompt": "What is 57 + (-21 - (-59)) - 321?", "solution_steps": ["Subtract: -21 - (-59) = 38", "Add: 57 + 38 = 95", "Subtract: 95 - 321 = -226"], "final_answer": "-226", "answer_type": "integer", "kind": "expression", "math_text": "57 + (-21 - (-59)) - 321", "variable": null, "family": "expression_3op", "shape": "(- (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": -21, \"c\": -59, \"d\": 321}", "seed": "16938318150760321408", "semantic_fingerprint": "sha256:af34e5296c4b9cbc060820fb30841959c862be667f4faed9b198bb53ae7f57bf", "generator_version": "3.0"}
{"id": "v3_test_id_00001919", "prompt": "What value of x satisfies 2x + 21 = -11(x - 5) + 200?", "solution_steps": ["Expand: 2x + 21 = -11x + 55 + 200", "Combine constants: 2x + 21 = -11x + 255", "Add 11x to both sides: 13x + 21 = 255", "Subtract 21 from both sides: 13x = 234", "Divide both sides by 13: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x + 21 = -11(x - 5) + 200", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 21, \"c\": -11, \"d\": 5, \"f\": 200, \"x\": 18}", "seed": "17816592110896254645", "semantic_fingerprint": "sha256:a6ce402f503192830abbfde1760cc346d5dc18f735ac890c91d18e2a4af9e6ad", "generator_version": "3.0"}
{"id": "v3_test_id_00001920", "prompt": "Find x: -6x = x - 868", "solution_steps": ["Subtract x from both sides: -7x = -868", "Divide both sides by -7: x = 124"], "final_answer": "124", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x = x - 868", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 868}", "seed": "5685705075307073336", "semantic_fingerprint": "sha256:c59a150bb34b473f9950d7336842d5fa773f4153f3becc405b814a8adf5d605c", "generator_version": "3.0"}
{"id": "v3_test_id_00001921", "prompt": "Find x: -7x = 4(x + 31)", "solution_steps": ["Expand: -7x = 4x + 124", "Subtract 4x from both sides: -11x = 124", "Divide both sides by -11: x = -124/11"], "final_answer": "-124/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7x = 4(x + 31)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 4, \"c\": 31}", "seed": "9924690407199594626", "semantic_fingerprint": "sha256:ab4d386b603e5c3c9f3094fcf9066941a383c71161af4102cdb3f3bb4935d2cb", "generator_version": "3.0"}
{"id": "v3_test_id_00001922", "prompt": "What is -332 * (7 * (-7 * (49 + 139)) / (-119))?", "solution_steps": ["Add: 49 + 139 = 188", "Multiply: -7 * 188 = -1316", "Multiply: 7 * (-1316) = -9212", "Divide: -9212 / (-119) = 1316/17", "Multiply: -332 * (1316/17) = -436912/17"], "final_answer": "-436912/17", "answer_type": "rational", "kind": "expression", "math_text": "-332 * (7 * (-7 * (49 + 139)) / (-119))", "variable": null, "family": "expression_5op", "shape": "(* n (/ (* n (* n (+ n n))) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -332, \"b\": 7, \"c\": -7, \"d\": 49, \"e\": 139, \"f\": -119}", "seed": "5291003078934223073", "semantic_fingerprint": "sha256:559cb1ae1d0ee107bb97e734d3cdbca6dc5e76190c77371720493351b619916e", "generator_version": "3.0"}
{"id": "v3_test_id_00001923", "prompt": "What value of x satisfies 5x - 45 = -10x?", "solution_steps": ["Add 10x to both sides: 15x - 45 = 0", "Add 45 to both sides: 15x = 45", "Divide both sides by 15: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 45 = -10x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -10, \"d\": -45, \"x\": 3}", "seed": "7809061625542759207", "semantic_fingerprint": "sha256:e93837961291fd2bf15e93b619eefd42a97bf08a1146b9a81f2c0d8d275f77bc", "generator_version": "3.0"}
{"id": "v3_test_id_00001924", "prompt": "What is -32 - (-67) / 2 / 91 - 190 * (-29)?", "solution_steps": ["Divide: -67 / 2 = -67/2", "Divide: (-67/2) / 91 = -67/182", "Subtract: -32 - (-67/182) = -5757/182", "Multiply: 190 * (-29) = -5510", "Subtract: -5757/182 - (-5510) = 997063/182"], "final_answer": "997063/182", "answer_type": "rational", "kind": "expression", "math_text": "-32 - (-67) / 2 / 91 - 190 * (-29)", "variable": null, "family": "expression_5op", "shape": "(- (- n (/ (/ n n) n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": -67, \"c\": 2, \"d\": 91, \"e\": 190, \"f\": -29}", "seed": "3227195004944023446", "semantic_fingerprint": "sha256:e0356387559aa14a363a0e8aed7546fea12f0fb3c7f1439d95f1cf0bce5f0e30", "generator_version": "3.0"}
{"id": "v3_test_id_00001925", "prompt": "Solve the equation x = 10(x + 5) for x.", "solution_steps": ["Expand: x = 10x + 50", "Subtract 10x from both sides: -9x = 50", "Divide both sides by -9: x = -50/9"], "final_answer": "-50/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 10(x + 5)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 5}", "seed": "6616612393638507696", "semantic_fingerprint": "sha256:f3eac7fd99d9c6e9632da50ff54716e8889f22cdf5c02f1d43d630267d0cf7b7", "generator_version": "3.0"}
{"id": "v3_test_id_00001926", "prompt": "Evaluate: 472 / (-719 - (-3)) * (-90 + (-94))", "solution_steps": ["Subtract: -719 - (-3) = -716", "Divide: 472 / (-716) = -118/179", "Add: -90 + (-94) = -184", "Multiply: (-118/179) * (-184) = 21712/179"], "final_answer": "21712/179", "answer_type": "rational", "kind": "expression", "math_text": "472 / (-719 - (-3)) * (-90 + (-94))", "variable": null, "family": "expression_4op", "shape": "(* (/ n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 472, \"b\": -719, \"c\": -3, \"d\": -90, \"e\": -94}", "seed": "12821438181262726630", "semantic_fingerprint": "sha256:92e5dd68a334896af5d0ebf1a48e9c434bd55f79e5466605b6aa3bb828b9a0ad", "generator_version": "3.0"}
{"id": "v3_test_id_00001927", "prompt": "Compute: -76 - 90 / (-341)", "solution_steps": ["Divide: 90 / (-341) = -90/341", "Subtract: -76 - (-90/341) = -25826/341"], "final_answer": "-25826/341", "answer_type": "rational", "kind": "expression", "math_text": "-76 - 90 / (-341)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": 90, \"c\": -341}", "seed": "3233005337460408426", "semantic_fingerprint": "sha256:1237b2034e5af33eee2742c05d794ee3c3688d9eea451bb4c8066dd74b38b96d", "generator_version": "3.0"}
{"id": "v3_test_id_00001928", "prompt": "Find x: 11(x - 19) = -8(x - 1)", "solution_steps": ["Expand: 11x - 209 = -8(x - 1)", "Expand: 11x - 209 = -8x + 8", "Add 8x to both sides: 19x - 209 = 8", "Add 209 to both sides: 19x = 217", "Divide both sides by 19: x = 217/19"], "final_answer": "217/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 19) = -8(x - 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 19, \"c\": -8, \"d\": 1}", "seed": "13227529356002117724", "semantic_fingerprint": "sha256:2a6edab2374d0aeeb605023c73b8402e9ca0e21209ee56017b90effa49205139", "generator_version": "3.0"}
{"id": "v3_test_id_00001929", "prompt": "Calculate: (-4 / (5 * 9) - 526) / (-17)", "solution_steps": ["Multiply: 5 * 9 = 45", "Divide: -4 / 45 = -4/45", "Subtract: -4/45 - 526 = -23674/45", "Divide: (-23674/45) / (-17) = 23674/765"], "final_answer": "23674/765", "answer_type": "rational", "kind": "expression", "math_text": "(-4 / (5 * 9) - 526) / (-17)", "variable": null, "family": "expression_4op", "shape": "(/ (- (/ n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 5, \"c\": 9, \"d\": 526, \"e\": -17}", "seed": "16226859280203249519", "semantic_fingerprint": "sha256:d71d8c1ec8d0ef00dfeb47db7df6bc701e0553b4c428c834103750bc22b90526", "generator_version": "3.0"}
{"id": "v3_test_id_00001930", "prompt": "Evaluate: (-54 + 0 / 471) / (-75)", "solution_steps": ["Divide: 0 / 471 = 0", "Add: -54 + 0 = -54", "Divide: -54 / (-75) = 18/25"], "final_answer": "18/25", "answer_type": "rational", "kind": "expression", "math_text": "(-54 + 0 / 471) / (-75)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": 0, \"c\": 471, \"d\": -75}", "seed": "5247854797251351548", "semantic_fingerprint": "sha256:c64fb34d02c3dfcab690af67ca524da633e92f9386867e179bb49840468c5472", "generator_version": "3.0"}
{"id": "v3_test_id_00001931", "prompt": "Evaluate: -46 - (-3 / 9 + (-284)) / (-54)", "solution_steps": ["Divide: -3 / 9 = -1/3", "Add: -1/3 + (-284) = -853/3", "Divide: (-853/3) / (-54) = 853/162", "Subtract: -46 - 853/162 = -8305/162"], "final_answer": "-8305/162", "answer_type": "rational", "kind": "expression", "math_text": "-46 - (-3 / 9 + (-284)) / (-54)", "variable": null, "family": "expression_4op", "shape": "(- n (/ (+ (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": -3, \"c\": 9, \"d\": -284, \"e\": -54}", "seed": "17780599674227361653", "semantic_fingerprint": "sha256:494f1b6570abde4340fd2ea69efc9647609d3d0026e707818d51bd37ba6623a3", "generator_version": "3.0"}
{"id": "v3_test_id_00001932", "prompt": "Solve the equation 8x + 9 = -12x + 556 for x.", "solution_steps": ["Add 12x to both sides: 20x + 9 = 556", "Subtract 9 from both sides: 20x = 547", "Divide both sides by 20: x = 547/20"], "final_answer": "547/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x + 9 = -12x + 556", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": -12, \"d\": 556}", "seed": "1605652458796482656", "semantic_fingerprint": "sha256:89e2be08d279d4e94c2a6a4e2b4192b1772037453c39eeb08fb0e90d281a1f17", "generator_version": "3.0"}
{"id": "v3_test_id_00001933", "prompt": "Compute: -48 / (-831 * (-4 - 4))", "solution_steps": ["Subtract: -4 - 4 = -8", "Multiply: -831 * (-8) = 6648", "Divide: -48 / 6648 = -2/277"], "final_answer": "-2/277", "answer_type": "rational", "kind": "expression", "math_text": "-48 / (-831 * (-4 - 4))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": -831, \"c\": -4, \"d\": 4}", "seed": "9174213293455259351", "semantic_fingerprint": "sha256:dd15802da1c466e6cac885c1a12993e18b6e58e9275dfe85aee6429d32690c71", "generator_version": "3.0"}
{"id": "v3_test_id_00001934", "prompt": "What value of x satisfies 4(x - 2) - 88 = 10(x - 78) + 648?", "solution_steps": ["Expand: 4x - 8 - 88 = 10(x - 78) + 648", "Expand: 4x - 8 - 88 = 10x - 780 + 648", "Combine constants: 4x - 96 = 10x - 780 + 648", "Combine constants: 4x - 96 = 10x - 132", "Subtract 10x from both sides: -6x - 96 = -132", "Add 96 to both sides: -6x = -36", "Divide both sides by -6: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 2) - 88 = 10(x - 78) + 648", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 2, \"c\": 88, \"d\": 10, \"e\": 78, \"g\": 648, \"x\": 6}", "seed": "15394375684202071260", "semantic_fingerprint": "sha256:7978910b93ae4e20c9e58e8127022854f0b34576af55ec79947049c21de3cc01", "generator_version": "3.0"}
{"id": "v3_test_id_00001935", "prompt": "What is 60 * 91 + (8 * 3 - 7)?", "solution_steps": ["Multiply: 60 * 91 = 5460", "Multiply: 8 * 3 = 24", "Subtract: 24 - 7 = 17", "Add: 5460 + 17 = 5477"], "final_answer": "5477", "answer_type": "integer", "kind": "expression", "math_text": "60 * 91 + (8 * 3 - 7)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": 91, \"c\": 8, \"d\": 3, \"e\": 7}", "seed": "4289175228225526071", "semantic_fingerprint": "sha256:7ef9dec3d27f37c849b14592c41c7364e193ad16aa708e85d95e3dd9a9ebc06a", "generator_version": "3.0"}
{"id": "v3_test_id_00001936", "prompt": "Find x: x = 6x + 100", "solution_steps": ["Subtract 6x from both sides: -5x = 100", "Divide both sides by -5: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 6x + 100", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"c\": 100, \"x\": -20}", "seed": "14557070848396440881", "semantic_fingerprint": "sha256:5261444b04d7e2d80f48b2c30ebabe4d96f6e126484e6998d2675831935babed", "generator_version": "3.0"}
{"id": "v3_test_id_00001937", "prompt": "What is 14 * (-420) / (-654)?", "solution_steps": ["Multiply: 14 * (-420) = -5880", "Divide: -5880 / (-654) = 980/109"], "final_answer": "980/109", "answer_type": "rational", "kind": "expression", "math_text": "14 * (-420) / (-654)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": -420, \"c\": -654}", "seed": "18395615889500443656", "semantic_fingerprint": "sha256:a5f2601aa03e867d4c95baf05802597dd24184fae63f1baa0f3e1602519cccf1", "generator_version": "3.0"}
{"id": "v3_test_id_00001938", "prompt": "What is 537 - (4 + 92 + 4)?", "solution_steps": ["Add: 4 + 92 = 96", "Add: 96 + 4 = 100", "Subtract: 537 - 100 = 437"], "final_answer": "437", "answer_type": "integer", "kind": "expression", "math_text": "537 - (4 + 92 + 4)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 537, \"b\": 4, \"c\": 92, \"d\": 4}", "seed": "18131700766836457852", "semantic_fingerprint": "sha256:93f624624e27c1131fd487b39477d7f7e7b5d719ce2b27e6876b5993f296a65f", "generator_version": "3.0"}
{"id": "v3_test_id_00001939", "prompt": "Solve for x: x = 4(x + 9)", "solution_steps": ["Expand: x = 4x + 36", "Subtract 4x from both sides: -3x = 36", "Divide both sides by -3: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 4(x + 9)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9}", "seed": "3803657312775345058", "semantic_fingerprint": "sha256:d6979139db632d4dcd5005da7c8e03baced19cd9f937c1acbeefe8c2231fff2a", "generator_version": "3.0"}
{"id": "v3_test_id_00001940", "prompt": "Evaluate: -1 - 8", "solution_steps": ["Subtract: -1 - 8 = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "expression", "math_text": "-1 - 8", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 8}", "seed": "15711437660820644195", "semantic_fingerprint": "sha256:b5cdf3b2381693c5d734271508ca5d2ca963cd4baeafd3fe9f1e46c9fe4b5cc0", "generator_version": "3.0"}
{"id": "v3_test_id_00001941", "prompt": "Calculate: (2 + 5) * (-3)", "solution_steps": ["Add: 2 + 5 = 7", "Multiply: 7 * (-3) = -21"], "final_answer": "-21", "answer_type": "integer", "kind": "expression", "math_text": "(2 + 5) * (-3)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"c\": -3}", "seed": "12731573976628611381", "semantic_fingerprint": "sha256:8899edcf0fdb4d55d1733af208bfc1c542579fa06a928805db36c5f19e79ff69", "generator_version": "3.0"}
{"id": "v3_test_id_00001942", "prompt": "Calculate: 7 * 709", "solution_steps": ["Multiply: 7 * 709 = 4963"], "final_answer": "4963", "answer_type": "integer", "kind": "expression", "math_text": "7 * 709", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 709}", "seed": "14018118110721460503", "semantic_fingerprint": "sha256:3b5884895b658f90aa30f562293af66d12166525218e89c9411f26b8c1ecc367", "generator_version": "3.0"}
{"id": "v3_test_id_00001943", "prompt": "Evaluate: 639 - 7", "solution_steps": ["Subtract: 639 - 7 = 632"], "final_answer": "632", "answer_type": "integer", "kind": "expression", "math_text": "639 - 7", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 639, \"b\": 7}", "seed": "1395298272106686730", "semantic_fingerprint": "sha256:53c4dee0b81429776ef7bd4b167e4d268f51a12ae401db74fe0269cfeccb01ef", "generator_version": "3.0"}
{"id": "v3_test_id_00001944", "prompt": "Calculate: (7 * (-2) / 9 - 6) / (-1)", "solution_steps": ["Multiply: 7 * (-2) = -14", "Divide: -14 / 9 = -14/9", "Subtract: -14/9 - 6 = -68/9", "Divide: (-68/9) / (-1) = 68/9"], "final_answer": "68/9", "answer_type": "rational", "kind": "expression", "math_text": "(7 * (-2) / 9 - 6) / (-1)", "variable": null, "family": "expression_4op", "shape": "(/ (- (/ (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -2, \"c\": 9, \"d\": 6, \"e\": -1}", "seed": "3787129269554264377", "semantic_fingerprint": "sha256:a2f5a7fbf8198bdc2c9119e346efd0387e271d9b985b4b0b124b07b4da2a6548", "generator_version": "3.0"}
{"id": "v3_test_id_00001945", "prompt": "Solve the equation 5(x - 129) = -5(x - 7) for x.", "solution_steps": ["Expand: 5x - 645 = -5(x - 7)", "Expand: 5x - 645 = -5x + 35", "Add 5x to both sides: 10x - 645 = 35", "Add 645 to both sides: 10x = 680", "Divide both sides by 10: x = 68"], "final_answer": "68", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 129) = -5(x - 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 129, \"c\": -5, \"d\": 7}", "seed": "6646291676306510155", "semantic_fingerprint": "sha256:a457e1a11768777221ffe4b5fe27832dce10ce8461a668122aa7b58a57167750", "generator_version": "3.0"}
{"id": "v3_test_id_00001946", "prompt": "Calculate: -42 + (-51) - 1", "solution_steps": ["Add: -42 + (-51) = -93", "Subtract: -93 - 1 = -94"], "final_answer": "-94", "answer_type": "integer", "kind": "expression", "math_text": "-42 + (-51) - 1", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": -51, \"c\": 1}", "seed": "3929395869456199987", "semantic_fingerprint": "sha256:a36331aecbf3c659390bc20b4c7fbabd5751cd74bfa485ce977b8da1296f52b5", "generator_version": "3.0"}
{"id": "v3_test_id_00001947", "prompt": "Find x: 8x = -10x", "solution_steps": ["Add 10x to both sides: 18x = 0", "Divide both sides by 18: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = -10x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -10}", "seed": "9768497862192787502", "semantic_fingerprint": "sha256:ff3f015220bfe41fc1871ee55672115e7c40bfa59fa3249b433fd6e99f83267c", "generator_version": "3.0"}
{"id": "v3_test_id_00001948", "prompt": "Solve for x: -6(x + 2) = 5(x - 697)", "solution_steps": ["Expand: -6x - 12 = 5(x - 697)", "Expand: -6x - 12 = 5x - 3485", "Subtract 5x from both sides: -11x - 12 = -3485", "Add 12 to both sides: -11x = -3473", "Divide both sides by -11: x = 3473/11"], "final_answer": "3473/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x + 2) = 5(x - 697)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 2, \"c\": 5, \"d\": 697}", "seed": "11243657278087243154", "semantic_fingerprint": "sha256:ea738265b2e0c0d6a901df453e733c3f4f34e5e3eac33ebd4ab4ae5da4a748a7", "generator_version": "3.0"}
{"id": "v3_test_id_00001949", "prompt": "Find x: 2(x - 78) = 6(x - 2)", "solution_steps": ["Expand: 2x - 156 = 6(x - 2)", "Expand: 2x - 156 = 6x - 12", "Subtract 6x from both sides: -4x - 156 = -12", "Add 156 to both sides: -4x = 144", "Divide both sides by -4: x = -36"], "final_answer": "-36", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 78) = 6(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 78, \"c\": 6, \"d\": 2}", "seed": "4950015360684934519", "semantic_fingerprint": "sha256:5ec34a12225e3f97891aea34f0f65a38a74a2bab157b648f2374d1e0cb416b61", "generator_version": "3.0"}
{"id": "v3_test_id_00001950", "prompt": "Compute: 829 / 772 + 73 + 151", "solution_steps": ["Divide: 829 / 772 = 829/772", "Add: 829/772 + 73 = 57185/772", "Add: 57185/772 + 151 = 173757/772"], "final_answer": "173757/772", "answer_type": "rational", "kind": "expression", "math_text": "829 / 772 + 73 + 151", "variable": null, "family": "expression_3op", "shape": "(+ (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 829, \"b\": 772, \"c\": 73, \"d\": 151}", "seed": "8181348398989777805", "semantic_fingerprint": "sha256:37b0c02afdfe89aa2bf16d4a70029ff3eace29a1bcbe9dced76f3df9f4a8590f", "generator_version": "3.0"}
{"id": "v3_test_id_00001951", "prompt": "Compute: -2 / (-67 / 29)", "solution_steps": ["Divide: -67 / 29 = -67/29", "Divide: -2 / (-67/29) = 58/67"], "final_answer": "58/67", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-67 / 29)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -67, \"c\": 29}", "seed": "14808562602098405196", "semantic_fingerprint": "sha256:8f8d7066066a690950c9b14a6eaed5fa0ead6658a65652ccb438aa7791583e31", "generator_version": "3.0"}
{"id": "v3_test_id_00001952", "prompt": "What is 7 * (211 + 393)?", "solution_steps": ["Add: 211 + 393 = 604", "Multiply: 7 * 604 = 4228"], "final_answer": "4228", "answer_type": "integer", "kind": "expression", "math_text": "7 * (211 + 393)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 211, \"c\": 393}", "seed": "10999208211577084223", "semantic_fingerprint": "sha256:4830f0808aca13fd2bacc5b7a88861021111501978b549e8bbe7ad3b00035261", "generator_version": "3.0"}
{"id": "v3_test_id_00001953", "prompt": "What value of x satisfies 5x - 36 = x?", "solution_steps": ["Subtract x from both sides: 4x - 36 = 0", "Add 36 to both sides: 4x = 36", "Divide both sides by 4: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 36 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"c\": -36, \"x\": 9}", "seed": "18112151723921766248", "semantic_fingerprint": "sha256:cefca2f09113aff38516bf14039c355eeff81a98a280dbf22f2f609cb0c42a17", "generator_version": "3.0"}
{"id": "v3_test_id_00001954", "prompt": "Compute: -10 + (-4) * 67", "solution_steps": ["Multiply: -4 * 67 = -268", "Add: -10 + (-268) = -278"], "final_answer": "-278", "answer_type": "integer", "kind": "expression", "math_text": "-10 + (-4) * 67", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": -4, \"c\": 67}", "seed": "6748083251695774375", "semantic_fingerprint": "sha256:db2c3261adf6302ff591bde93a42ec1214dbc0b27dd6152a6a381ca8fb5ba8c9", "generator_version": "3.0"}
{"id": "v3_test_id_00001955", "prompt": "Find x: 6(x + 62) - 255 = 12x - 68", "solution_steps": ["Expand: 6x + 372 - 255 = 12x - 68", "Combine constants: 6x + 117 = 12x - 68", "Subtract 12x from both sides: -6x + 117 = -68", "Subtract 117 from both sides: -6x = -185", "Divide both sides by -6: x = 185/6"], "final_answer": "185/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 62) - 255 = 12x - 68", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 62, \"c\": 255, \"d\": 12, \"e\": 68}", "seed": "11154338424218303512", "semantic_fingerprint": "sha256:93fb07766cb44daf89dfca12f8782584cab760f6a192515d66f3569f2db264fe", "generator_version": "3.0"}
{"id": "v3_test_id_00001956", "prompt": "Evaluate: (-56 / (-764) - (-4)) / 31", "solution_steps": ["Divide: -56 / (-764) = 14/191", "Subtract: 14/191 - (-4) = 778/191", "Divide: (778/191) / 31 = 778/5921"], "final_answer": "778/5921", "answer_type": "rational", "kind": "expression", "math_text": "(-56 / (-764) - (-4)) / 31", "variable": null, "family": "expression_3op", "shape": "(/ (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": -764, \"c\": -4, \"d\": 31}", "seed": "13731572859864877374", "semantic_fingerprint": "sha256:562f1e3032515ae55725565758b305e61314b02c5f7a7a46d6c8bb0493ea3034", "generator_version": "3.0"}
{"id": "v3_test_id_00001957", "prompt": "Compute: 172 / 64 / (-77) * (-28) / 68", "solution_steps": ["Divide: 172 / 64 = 43/16", "Divide: (43/16) / (-77) = -43/1232", "Multiply: (-43/1232) * (-28) = 43/44", "Divide: (43/44) / 68 = 43/2992"], "final_answer": "43/2992", "answer_type": "rational", "kind": "expression", "math_text": "172 / 64 / (-77) * (-28) / 68", "variable": null, "family": "expression_4op", "shape": "(/ (* (/ (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 172, \"b\": 64, \"c\": -77, \"d\": -28, \"e\": 68}", "seed": "13865288937317775144", "semantic_fingerprint": "sha256:d3ddf85ea7e73fea3b2edffb29bf5431ec7cbf2fa1d8b22954882ef134816c8b", "generator_version": "3.0"}
{"id": "v3_test_id_00001958", "prompt": "Solve the equation -12(x + 6) - 273 = 11x for x.", "solution_steps": ["Expand: -12x - 72 - 273 = 11x", "Combine constants: -12x - 345 = 11x", "Subtract 11x from both sides: -23x - 345 = 0", "Add 345 to both sides: -23x = 345", "Divide both sides by -23: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 6) - 273 = 11x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 6, \"c\": 11, \"e\": -273, \"x\": -15}", "seed": "15449766064639584920", "semantic_fingerprint": "sha256:1bc4e4b8470aaee69f3eae9e89a5652cd4529ab0732f74c3c65d9f47817bf8c2", "generator_version": "3.0"}
{"id": "v3_test_id_00001959", "prompt": "Calculate: 88 + (63 + (-55 + 11))", "solution_steps": ["Add: -55 + 11 = -44", "Add: 63 + (-44) = 19", "Add: 88 + 19 = 107"], "final_answer": "107", "answer_type": "integer", "kind": "expression", "math_text": "88 + (63 + (-55 + 11))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": 63, \"c\": -55, \"d\": 11}", "seed": "8893116605909143838", "semantic_fingerprint": "sha256:598c283e45c3223751a9c003811f2dcdaaa61d710016955840fc5ffda85e438f", "generator_version": "3.0"}
{"id": "v3_test_id_00001960", "prompt": "Solve for x: 3(x + 38) = 2x + 97", "solution_steps": ["Expand: 3x + 114 = 2x + 97", "Subtract 2x from both sides: x + 114 = 97", "Subtract 114 from both sides: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 38) = 2x + 97", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 38, \"c\": 2, \"e\": 97, \"x\": -17}", "seed": "10312961783198592244", "semantic_fingerprint": "sha256:de3228aaa5269caa142a4786965136621c265e5c81e9735594969703a9dff71c", "generator_version": "3.0"}
{"id": "v3_test_id_00001961", "prompt": "Evaluate: -6 - (-5)", "solution_steps": ["Subtract: -6 - (-5) = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (-5)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -5}", "seed": "14339875568878652612", "semantic_fingerprint": "sha256:c9f26e215b5f5e608903e8c045842b6e65acd2a447a620735c65347d536cc636", "generator_version": "3.0"}
{"id": "v3_test_id_00001962", "prompt": "What is -9 / 74 - (-31)?", "solution_steps": ["Divide: -9 / 74 = -9/74", "Subtract: -9/74 - (-31) = 2285/74"], "final_answer": "2285/74", "answer_type": "rational", "kind": "expression", "math_text": "-9 / 74 - (-31)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 74, \"c\": -31}", "seed": "13466481850391907272", "semantic_fingerprint": "sha256:e2baf968265eb8c02092439d6ca8b95854bb5d1db479478e7b1baaf3abf91fe2", "generator_version": "3.0"}
{"id": "v3_test_id_00001963", "prompt": "Evaluate: -56 - (861 + (-693))", "solution_steps": ["Add: 861 + (-693) = 168", "Subtract: -56 - 168 = -224"], "final_answer": "-224", "answer_type": "integer", "kind": "expression", "math_text": "-56 - (861 + (-693))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": 861, \"c\": -693}", "seed": "15766719944204100968", "semantic_fingerprint": "sha256:c3f9f9e95f38037288e74cb7977fc40514b647c60d2335b9b7ce2bdb7c02e85f", "generator_version": "3.0"}
{"id": "v3_test_id_00001964", "prompt": "Compute: 8 * (273 + (-377))", "solution_steps": ["Add: 273 + (-377) = -104", "Multiply: 8 * (-104) = -832"], "final_answer": "-832", "answer_type": "integer", "kind": "expression", "math_text": "8 * (273 + (-377))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 273, \"c\": -377}", "seed": "13821765874644491532", "semantic_fingerprint": "sha256:ad3755f3645e3df970d7a7ee925e45c28444c7731328bfd40b6f10ca31f1ff05", "generator_version": "3.0"}
{"id": "v3_test_id_00001965", "prompt": "Find x: 8(x - 8) + 567 = -8(x - 76) + 23", "solution_steps": ["Expand: 8x - 64 + 567 = -8(x - 76) + 23", "Expand: 8x - 64 + 567 = -8x + 608 + 23", "Combine constants: 8x + 503 = -8x + 608 + 23", "Combine constants: 8x + 503 = -8x + 631", "Add 8x to both sides: 16x + 503 = 631", "Subtract 503 from both sides: 16x = 128", "Divide both sides by 16: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 8) + 567 = -8(x - 76) + 23", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 8, \"c\": 567, \"d\": -8, \"e\": 76, \"g\": 23, \"x\": 8}", "seed": "3044317134768267946", "semantic_fingerprint": "sha256:fab0dced2dd07425fbb42e8b82fa270c71b9edc9cf0da27adf3c83f46ea9d754", "generator_version": "3.0"}
{"id": "v3_test_id_00001966", "prompt": "What is 98 / (-46)?", "solution_steps": ["Divide: 98 / (-46) = -49/23"], "final_answer": "-49/23", "answer_type": "rational", "kind": "expression", "math_text": "98 / (-46)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": -46}", "seed": "14542343673552689104", "semantic_fingerprint": "sha256:1ed514a47da3601b77029c3371ed48973ba174a1c9fb8dce3402e1f422ff2c50", "generator_version": "3.0"}
{"id": "v3_test_id_00001967", "prompt": "Solve the equation 5x + 9 = -3(x + 77) + 96 for x.", "solution_steps": ["Expand: 5x + 9 = -3x - 231 + 96", "Combine constants: 5x + 9 = -3x - 135", "Add 3x to both sides: 8x + 9 = -135", "Subtract 9 from both sides: 8x = -144", "Divide both sides by 8: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 9 = -3(x + 77) + 96", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": -3, \"d\": 77, \"f\": 96, \"x\": -18}", "seed": "1496307532768591549", "semantic_fingerprint": "sha256:6fea83d441fee69d4fb99ce79ae3e48c0d4111f01e5d4d7dd4599f4e6cc28f0b", "generator_version": "3.0"}
{"id": "v3_test_id_00001968", "prompt": "Calculate: 77 * (-9 * 64)", "solution_steps": ["Multiply: -9 * 64 = -576", "Multiply: 77 * (-576) = -44352"], "final_answer": "-44352", "answer_type": "integer", "kind": "expression", "math_text": "77 * (-9 * 64)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": -9, \"c\": 64}", "seed": "13646974402632434042", "semantic_fingerprint": "sha256:d3a3ad338701edfc37c5cb27dc2b363d4f8394d481e6304c3ab1e9c92519f7bb", "generator_version": "3.0"}
{"id": "v3_test_id_00001969", "prompt": "Calculate: -8 - 586 - (-77 - 58)", "solution_steps": ["Subtract: -8 - 586 = -594", "Subtract: -77 - 58 = -135", "Subtract: -594 - (-135) = -459"], "final_answer": "-459", "answer_type": "integer", "kind": "expression", "math_text": "-8 - 586 - (-77 - 58)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 586, \"c\": -77, \"d\": 58}", "seed": "3830538260747202289", "semantic_fingerprint": "sha256:9a37d0aa32614babb87734bd5bf80feb8ed5b91e36d9f3d79fc2967ca361ac00", "generator_version": "3.0"}
{"id": "v3_test_id_00001970", "prompt": "Solve for x: 6(x - 2) - 8 = 8(x + 5) - 54", "solution_steps": ["Expand: 6x - 12 - 8 = 8(x + 5) - 54", "Expand: 6x - 12 - 8 = 8x + 40 - 54", "Combine constants: 6x - 20 = 8x + 40 - 54", "Combine constants: 6x - 20 = 8x - 14", "Subtract 8x from both sides: -2x - 20 = -14", "Add 20 to both sides: -2x = 6", "Divide both sides by -2: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 2) - 8 = 8(x + 5) - 54", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 8, \"d\": 8, \"e\": 5, \"g\": -54, \"x\": -3}", "seed": "16370979793664286901", "semantic_fingerprint": "sha256:04608e5d77c881a4de07cd0e6fcac7be672e46387e60020fe1f14fb1c7ba89b8", "generator_version": "3.0"}
{"id": "v3_test_id_00001971", "prompt": "What is -380 / 3 * (-780) - 21?", "solution_steps": ["Divide: -380 / 3 = -380/3", "Multiply: (-380/3) * (-780) = 98800", "Subtract: 98800 - 21 = 98779"], "final_answer": "98779", "answer_type": "integer", "kind": "expression", "math_text": "-380 / 3 * (-780) - 21", "variable": null, "family": "expression_3op", "shape": "(- (* (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -380, \"b\": 3, \"c\": -780, \"d\": 21}", "seed": "16964634504198127787", "semantic_fingerprint": "sha256:8d56320cdebe79beb217f99e783d1fcc74fb8da5e171594c249275abb576344e", "generator_version": "3.0"}
{"id": "v3_test_id_00001972", "prompt": "What is -36 / (-4)?", "solution_steps": ["Divide: -36 / (-4) = 9"], "final_answer": "9", "answer_type": "integer", "kind": "expression", "math_text": "-36 / (-4)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": -4}", "seed": "3995742543699250987", "semantic_fingerprint": "sha256:785e4246ac5bf9b329e99d69893a41d5e5d2e7ab1ea8af62510e4d67a730ff69", "generator_version": "3.0"}
{"id": "v3_test_id_00001973", "prompt": "Evaluate: 83 + 0 * (41 / 16 / (0 + (-64)))", "solution_steps": ["Divide: 41 / 16 = 41/16", "Add: 0 + (-64) = -64", "Divide: (41/16) / (-64) = -41/1024", "Multiply: 0 * (-41/1024) = 0", "Add: 83 + 0 = 83"], "final_answer": "83", "answer_type": "integer", "kind": "expression", "math_text": "83 + 0 * (41 / 16 / (0 + (-64)))", "variable": null, "family": "expression_5op", "shape": "(+ n (* n (/ (/ n n) (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 0, \"c\": 41, \"d\": 16, \"e\": 0, \"f\": -64}", "seed": "13809899586250283117", "semantic_fingerprint": "sha256:3853a6f6b0c0244e9b1c8f10a144b276c7190e426980bf110e59debe6a9bd6b9", "generator_version": "3.0"}
{"id": "v3_test_id_00001974", "prompt": "What is -4 * (-4)?", "solution_steps": ["Multiply: -4 * (-4) = 16"], "final_answer": "16", "answer_type": "integer", "kind": "expression", "math_text": "-4 * (-4)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -4}", "seed": "12208237544352721045", "semantic_fingerprint": "sha256:3688931bcc38ccbac7f646d76197585bb0f8b97e28ee288daf0fc0c2b367c9f1", "generator_version": "3.0"}
{"id": "v3_test_id_00001975", "prompt": "Evaluate: (5 - 0) / 3", "solution_steps": ["Subtract: 5 - 0 = 5", "Divide: 5 / 3 = 5/3"], "final_answer": "5/3", "answer_type": "rational", "kind": "expression", "math_text": "(5 - 0) / 3", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 0, \"c\": 3}", "seed": "1466373281658598163", "semantic_fingerprint": "sha256:53e7092ad82b5679bad8434eaf72e4c06622d0935192407147f24bb8624f0d27", "generator_version": "3.0"}
{"id": "v3_test_id_00001976", "prompt": "Evaluate: 22 + (-6) + (-66)", "solution_steps": ["Add: 22 + (-6) = 16", "Add: 16 + (-66) = -50"], "final_answer": "-50", "answer_type": "integer", "kind": "expression", "math_text": "22 + (-6) + (-66)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": -6, \"c\": -66}", "seed": "16304699451707494930", "semantic_fingerprint": "sha256:7a98e4fd35d72076f5b95a99b42980d99556eba668fd075554d9b2ef84846dd2", "generator_version": "3.0"}
{"id": "v3_test_id_00001977", "prompt": "Solve for x: 12(x + 6) = -120", "solution_steps": ["Expand: 12x + 72 = -120", "Subtract 72 from both sides: 12x = -192", "Divide both sides by 12: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 6) = -120", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 6, \"d\": -120, \"x\": -16}", "seed": "12188405888432876184", "semantic_fingerprint": "sha256:d1029db3ad8f8fec8019c597164a61499936871982e1798d6cc7a8e8624efdf3", "generator_version": "3.0"}
{"id": "v3_test_id_00001978", "prompt": "Evaluate: (337 - (-21)) * (-49)", "solution_steps": ["Subtract: 337 - (-21) = 358", "Multiply: 358 * (-49) = -17542"], "final_answer": "-17542", "answer_type": "integer", "kind": "expression", "math_text": "(337 - (-21)) * (-49)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 337, \"b\": -21, \"c\": -49}", "seed": "4595677140898436616", "semantic_fingerprint": "sha256:5f326d81d1d946c1894d048020211d252cf4588d91fd977f6544f55b4f409db8", "generator_version": "3.0"}
{"id": "v3_test_id_00001979", "prompt": "Calculate: 56 / 5", "solution_steps": ["Divide: 56 / 5 = 56/5"], "final_answer": "56/5", "answer_type": "rational", "kind": "expression", "math_text": "56 / 5", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 5}", "seed": "16555755167725406262", "semantic_fingerprint": "sha256:23389435f4164f34dde1d5add18240280d13b20a199a2b8e7700cb48faa7d621", "generator_version": "3.0"}
{"id": "v3_test_id_00001980", "prompt": "Compute: -58 * (-8) * (-140 - 766) - (8 + (-5))", "solution_steps": ["Multiply: -58 * (-8) = 464", "Subtract: -140 - 766 = -906", "Multiply: 464 * (-906) = -420384", "Add: 8 + (-5) = 3", "Subtract: -420384 - 3 = -420387"], "final_answer": "-420387", "answer_type": "integer", "kind": "expression", "math_text": "-58 * (-8) * (-140 - 766) - (8 + (-5))", "variable": null, "family": "expression_5op", "shape": "(- (* (* n n) (- n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": -8, \"c\": -140, \"d\": 766, \"e\": 8, \"f\": -5}", "seed": "11310261997532884850", "semantic_fingerprint": "sha256:67c6745512e1e1ff4d913471351fb0efdbc49ff1ce27e8416585380985f91234", "generator_version": "3.0"}
{"id": "v3_test_id_00001981", "prompt": "What value of x satisfies 7(x - 15) = x - 57?", "solution_steps": ["Expand: 7x - 105 = x - 57", "Subtract x from both sides: 6x - 105 = -57", "Add 105 to both sides: 6x = 48", "Divide both sides by 6: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 15) = x - 57", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 15, \"d\": -57, \"x\": 8}", "seed": "17006717397313346081", "semantic_fingerprint": "sha256:adcce75b41f0992c1c6b4cde45a0ed219bf904acd3ef447d08c8aaae7c29efbf", "generator_version": "3.0"}
{"id": "v3_test_id_00001982", "prompt": "What is 234 / (-34 - (-89))?", "solution_steps": ["Subtract: -34 - (-89) = 55", "Divide: 234 / 55 = 234/55"], "final_answer": "234/55", "answer_type": "rational", "kind": "expression", "math_text": "234 / (-34 - (-89))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 234, \"b\": -34, \"c\": -89}", "seed": "2369373635453637691", "semantic_fingerprint": "sha256:0082b61271ac5b2c2e503976e942a9cd499c620cb48e206aa8d52f1276d6c65f", "generator_version": "3.0"}
{"id": "v3_test_id_00001983", "prompt": "What value of x satisfies -4x = -12x - 858?", "solution_steps": ["Add 12x to both sides: 8x = -858", "Divide both sides by 8: x = -429/4"], "final_answer": "-429/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4x = -12x - 858", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -12, \"c\": 858}", "seed": "17316879545348057368", "semantic_fingerprint": "sha256:9cd528571312bc17b25f176e0a96fa940b0ba7367a19675b0bbb4cfad2aced8c", "generator_version": "3.0"}
{"id": "v3_test_id_00001984", "prompt": "Find x: -11(x + 6) - 738 = -12(x + 68)", "solution_steps": ["Expand: -11x - 66 - 738 = -12(x + 68)", "Expand: -11x - 66 - 738 = -12x - 816", "Combine constants: -11x - 804 = -12x - 816", "Add 12x to both sides: x - 804 = -816", "Add 804 to both sides: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 6) - 738 = -12(x + 68)", "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\": -12, \"d\": 68, \"f\": -738, \"x\": -12}", "seed": "16275441631877193551", "semantic_fingerprint": "sha256:d73539629aee6311a44f8195633e0f70ab1ca4cfe84d90b1438e8432a2f29f57", "generator_version": "3.0"}
{"id": "v3_test_id_00001985", "prompt": "Evaluate: (-32 - (-16)) * (-94) / 8 * (-8)", "solution_steps": ["Subtract: -32 - (-16) = -16", "Multiply: -16 * (-94) = 1504", "Divide: 1504 / 8 = 188", "Multiply: 188 * (-8) = -1504"], "final_answer": "-1504", "answer_type": "integer", "kind": "expression", "math_text": "(-32 - (-16)) * (-94) / 8 * (-8)", "variable": null, "family": "expression_4op", "shape": "(* (/ (* (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": -16, \"c\": -94, \"d\": 8, \"e\": -8}", "seed": "13999920932048916759", "semantic_fingerprint": "sha256:45af8e949ac8e093283a653e8613dc7205334ad43215bea63feac44691ccabfa", "generator_version": "3.0"}
{"id": "v3_test_id_00001986", "prompt": "What is -59 + 48?", "solution_steps": ["Add: -59 + 48 = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "expression", "math_text": "-59 + 48", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": 48}", "seed": "14927185822905539079", "semantic_fingerprint": "sha256:f16b179bfe34071812cfcae1d95840f89f16187c9d5585898ebdfa837108b87d", "generator_version": "3.0"}
{"id": "v3_test_id_00001987", "prompt": "Find x: -12(x - 17) = 4(x - 7) + 424", "solution_steps": ["Expand: -12x + 204 = 4(x - 7) + 424", "Expand: -12x + 204 = 4x - 28 + 424", "Combine constants: -12x + 204 = 4x + 396", "Subtract 4x from both sides: -16x + 204 = 396", "Subtract 204 from both sides: -16x = 192", "Divide both sides by -16: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 17) = 4(x - 7) + 424", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 17, \"c\": 4, \"d\": 7, \"f\": 424, \"x\": -12}", "seed": "6214305320267588008", "semantic_fingerprint": "sha256:bea6b1180ee5ff2a0ef8eed9afd1ad1479668e7b581ee05392d185995d0cd254", "generator_version": "3.0"}
{"id": "v3_test_id_00001988", "prompt": "Evaluate: 783 / (-1) / 3", "solution_steps": ["Divide: 783 / (-1) = -783", "Divide: -783 / 3 = -261"], "final_answer": "-261", "answer_type": "integer", "kind": "expression", "math_text": "783 / (-1) / 3", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 783, \"b\": -1, \"c\": 3}", "seed": "8974293691217375508", "semantic_fingerprint": "sha256:1da79ce3a09d417e7b6598ae0e75f60c1e2e2afde40524b297ce88d65702612c", "generator_version": "3.0"}
{"id": "v3_test_id_00001989", "prompt": "Evaluate: -46 / (-1) + (-96)", "solution_steps": ["Divide: -46 / (-1) = 46", "Add: 46 + (-96) = -50"], "final_answer": "-50", "answer_type": "integer", "kind": "expression", "math_text": "-46 / (-1) + (-96)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": -1, \"c\": -96}", "seed": "2657746096648055082", "semantic_fingerprint": "sha256:d0f1afeb9095272c75026762105c08d91717f655400c32be9ef92ff621f711b5", "generator_version": "3.0"}
{"id": "v3_test_id_00001990", "prompt": "Solve the equation 12(x + 7) - 253 = 6(x + 67) - 643 for x.", "solution_steps": ["Expand: 12x + 84 - 253 = 6(x + 67) - 643", "Expand: 12x + 84 - 253 = 6x + 402 - 643", "Combine constants: 12x - 169 = 6x + 402 - 643", "Combine constants: 12x - 169 = 6x - 241", "Subtract 6x from both sides: 6x - 169 = -241", "Add 169 to both sides: 6x = -72", "Divide both sides by 6: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 7) - 253 = 6(x + 67) - 643", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7, \"c\": 253, \"d\": 6, \"e\": 67, \"g\": -643, \"x\": -12}", "seed": "7889417483057277946", "semantic_fingerprint": "sha256:d08f633556d8dc94e0258cb9b19400196fad93cdb5ab72c05ffe3064a1a0a539", "generator_version": "3.0"}
{"id": "v3_test_id_00001991", "prompt": "Evaluate: -627 * 8", "solution_steps": ["Multiply: -627 * 8 = -5016"], "final_answer": "-5016", "answer_type": "integer", "kind": "expression", "math_text": "-627 * 8", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -627, \"b\": 8}", "seed": "5275451289415468535", "semantic_fingerprint": "sha256:8f1f7ce92fb701bb0ec31192f45a6105ad61dc028b29575bde6598b797672527", "generator_version": "3.0"}
{"id": "v3_test_id_00001992", "prompt": "Evaluate: (-8 - 267) * (21 + (-57) - (-962) - (-61))", "solution_steps": ["Subtract: -8 - 267 = -275", "Add: 21 + (-57) = -36", "Subtract: -36 - (-962) = 926", "Subtract: 926 - (-61) = 987", "Multiply: -275 * 987 = -271425"], "final_answer": "-271425", "answer_type": "integer", "kind": "expression", "math_text": "(-8 - 267) * (21 + (-57) - (-962) - (-61))", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (- (- (+ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 267, \"c\": 21, \"d\": -57, \"e\": -962, \"f\": -61}", "seed": "1798786464478560559", "semantic_fingerprint": "sha256:6ad4ea90eb58e4e1de7019afe2deff6cab3639c0b89d8e42bafaf88633640a45", "generator_version": "3.0"}
{"id": "v3_test_id_00001993", "prompt": "Find x: -10x - 5 = x + 17", "solution_steps": ["Subtract x from both sides: -11x - 5 = 17", "Add 5 to both sides: -11x = 22", "Divide both sides by -11: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x - 5 = x + 17", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 5, \"d\": 17, \"x\": -2}", "seed": "13079482369671753014", "semantic_fingerprint": "sha256:52f13c4286709cdb640cfcf5b4665e0dbe56a6344363dd0d2c1011d8d3bbdcb0", "generator_version": "3.0"}
{"id": "v3_test_id_00001994", "prompt": "Solve the equation 5(x + 1) + 70 = 2x - 9 for x.", "solution_steps": ["Expand: 5x + 5 + 70 = 2x - 9", "Combine constants: 5x + 75 = 2x - 9", "Subtract 2x from both sides: 3x + 75 = -9", "Subtract 75 from both sides: 3x = -84", "Divide both sides by 3: x = -28"], "final_answer": "-28", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 1) + 70 = 2x - 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 1, \"c\": 70, \"d\": 2, \"e\": 9}", "seed": "12501581715674631903", "semantic_fingerprint": "sha256:6b3105ec4433ac4b2fcbd831e8730ce26cbd8cd3570847f7cc34ebdcc8a5e9f9", "generator_version": "3.0"}
{"id": "v3_test_id_00001995", "prompt": "Evaluate: -3 - (-24) / (-1)", "solution_steps": ["Divide: -24 / (-1) = 24", "Subtract: -3 - 24 = -27"], "final_answer": "-27", "answer_type": "integer", "kind": "expression", "math_text": "-3 - (-24) / (-1)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -24, \"c\": -1}", "seed": "14399991251262580683", "semantic_fingerprint": "sha256:0286b18932f028edab8c48957599cc87018ac688659566fa406e05778988d199", "generator_version": "3.0"}
{"id": "v3_test_id_00001996", "prompt": "Calculate: 799 / (-546)", "solution_steps": ["Divide: 799 / (-546) = -799/546"], "final_answer": "-799/546", "answer_type": "rational", "kind": "expression", "math_text": "799 / (-546)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 799, \"b\": -546}", "seed": "15527444255239100697", "semantic_fingerprint": "sha256:1ff1405570ac1b30f8328b12899d715448b87d6714d735ed757465b804cddd1a", "generator_version": "3.0"}
{"id": "v3_test_id_00001997", "prompt": "Calculate: 592 * (-415 + 477)", "solution_steps": ["Add: -415 + 477 = 62", "Multiply: 592 * 62 = 36704"], "final_answer": "36704", "answer_type": "integer", "kind": "expression", "math_text": "592 * (-415 + 477)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 592, \"b\": -415, \"c\": 477}", "seed": "5548684657752535443", "semantic_fingerprint": "sha256:d9a1a60e647dcdcda2077b8e86cf11943f14e43f8330c80cec3ffe2be4ccc063", "generator_version": "3.0"}
{"id": "v3_test_id_00001998", "prompt": "What value of x satisfies 7(x + 64) + 286 = 3(x + 93) + 475?", "solution_steps": ["Expand: 7x + 448 + 286 = 3(x + 93) + 475", "Expand: 7x + 448 + 286 = 3x + 279 + 475", "Combine constants: 7x + 734 = 3x + 279 + 475", "Combine constants: 7x + 734 = 3x + 754", "Subtract 3x from both sides: 4x + 734 = 754", "Subtract 734 from both sides: 4x = 20", "Divide both sides by 4: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 64) + 286 = 3(x + 93) + 475", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 64, \"c\": 286, \"d\": 3, \"e\": 93, \"g\": 475, \"x\": 5}", "seed": "8994841802401261278", "semantic_fingerprint": "sha256:7e92e6e843298a9a9f7e0821eb5407bbebeb5fd7aa5ee49f225ed268e482952e", "generator_version": "3.0"}
{"id": "v3_test_id_00001999", "prompt": "Compute: 47 / (-7 * 6)", "solution_steps": ["Multiply: -7 * 6 = -42", "Divide: 47 / (-42) = -47/42"], "final_answer": "-47/42", "answer_type": "rational", "kind": "expression", "math_text": "47 / (-7 * 6)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": -7, \"c\": 6}", "seed": "12775466249834161756", "semantic_fingerprint": "sha256:91555c3ee426e664a67bcf373318fd38bfaf61034240eb329ac1d4926771d9c6", "generator_version": "3.0"}
{"id": "v3_test_id_00002000", "prompt": "Find x: -10(x + 5) - 67 = -147", "solution_steps": ["Expand: -10x - 50 - 67 = -147", "Combine constants: -10x - 117 = -147", "Add 117 to both sides: -10x = -30", "Divide both sides by -10: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 5) - 67 = -147", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 5, \"c\": 67, \"e\": -147, \"x\": 3}", "seed": "15908309707483537907", "semantic_fingerprint": "sha256:05182c83dfc332e8acb9ceef296afbcbe9b4d02f64d7e6f486b5f7cf6e7ca39f", "generator_version": "3.0"}
{"id": "v3_test_id_00002001", "prompt": "Calculate: -349 - 0 - (-5)", "solution_steps": ["Subtract: -349 - 0 = -349", "Subtract: -349 - (-5) = -344"], "final_answer": "-344", "answer_type": "integer", "kind": "expression", "math_text": "-349 - 0 - (-5)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -349, \"b\": 0, \"c\": -5}", "seed": "5363629756150604088", "semantic_fingerprint": "sha256:d273e8e03138ae217f7e8cf951125fffa9a54ded8d1499fba68a46629b219822", "generator_version": "3.0"}
{"id": "v3_test_id_00002002", "prompt": "Evaluate: 0 - (-448)", "solution_steps": ["Subtract: 0 - (-448) = 448"], "final_answer": "448", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-448)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -448}", "seed": "6437824439618535410", "semantic_fingerprint": "sha256:4fc18b2247bfe8e362814dfd1f32f3a85984a6e92f65020f883f1b813da16be0", "generator_version": "3.0"}
{"id": "v3_test_id_00002003", "prompt": "What is -878 / 8 * (4 + 4 - 45)?", "solution_steps": ["Divide: -878 / 8 = -439/4", "Add: 4 + 4 = 8", "Subtract: 8 - 45 = -37", "Multiply: (-439/4) * (-37) = 16243/4"], "final_answer": "16243/4", "answer_type": "rational", "kind": "expression", "math_text": "-878 / 8 * (4 + 4 - 45)", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (- (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -878, \"b\": 8, \"c\": 4, \"d\": 4, \"e\": 45}", "seed": "7738097071338862246", "semantic_fingerprint": "sha256:466b6c20e8445caffe0ec265006a292ea8ecd50686f3534d3bc28b6de1d3f3f4", "generator_version": "3.0"}
{"id": "v3_test_id_00002004", "prompt": "Compute: 458 * (8 / (-8)) / 44", "solution_steps": ["Divide: 8 / (-8) = -1", "Multiply: 458 * (-1) = -458", "Divide: -458 / 44 = -229/22"], "final_answer": "-229/22", "answer_type": "rational", "kind": "expression", "math_text": "458 * (8 / (-8)) / 44", "variable": null, "family": "expression_3op", "shape": "(/ (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 458, \"b\": 8, \"c\": -8, \"d\": 44}", "seed": "9074996459724328448", "semantic_fingerprint": "sha256:ad9eccf7959277ecafdd8b7378a57496c4583b5cbda643cfe13ed39f664f2386", "generator_version": "3.0"}
{"id": "v3_test_id_00002005", "prompt": "Find x: 7(x - 131) + 1 = x - 8", "solution_steps": ["Expand: 7x - 917 + 1 = x - 8", "Combine constants: 7x - 916 = x - 8", "Subtract x from both sides: 6x - 916 = -8", "Add 916 to both sides: 6x = 908", "Divide both sides by 6: x = 454/3"], "final_answer": "454/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 131) + 1 = x - 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 131, \"c\": 1, \"d\": 8}", "seed": "1013390458961703334", "semantic_fingerprint": "sha256:a0607e949c9a344d209076c52851bf0f9c3c743c3c1aafd24c695c63b9c70a00", "generator_version": "3.0"}
{"id": "v3_test_id_00002006", "prompt": "Solve the equation x = -8x - 180 for x.", "solution_steps": ["Add 8x to both sides: 9x = -180", "Divide both sides by 9: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -8x - 180", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"c\": -180, \"x\": -20}", "seed": "14952738310075495487", "semantic_fingerprint": "sha256:d1d3232d0450d98c5f3d272a43551bf6b5ea9ddcb679f79586386333e504ffe8", "generator_version": "3.0"}
{"id": "v3_test_id_00002007", "prompt": "What is 49 / ((-83 - 940) / 725)?", "solution_steps": ["Subtract: -83 - 940 = -1023", "Divide: -1023 / 725 = -1023/725", "Divide: 49 / (-1023/725) = -35525/1023"], "final_answer": "-35525/1023", "answer_type": "rational", "kind": "expression", "math_text": "49 / ((-83 - 940) / 725)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": -83, \"c\": 940, \"d\": 725}", "seed": "2538302000199215673", "semantic_fingerprint": "sha256:1edb4083b6b6ce23dcedb00338fc3d5fe914b99d88afe1188ee418fdee1c60d1", "generator_version": "3.0"}
{"id": "v3_test_id_00002008", "prompt": "What is -975 - 13 - (-246)?", "solution_steps": ["Subtract: -975 - 13 = -988", "Subtract: -988 - (-246) = -742"], "final_answer": "-742", "answer_type": "integer", "kind": "expression", "math_text": "-975 - 13 - (-246)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -975, \"b\": 13, \"c\": -246}", "seed": "4923437148914745489", "semantic_fingerprint": "sha256:d333d49dd7af85bfa7940bd2cada51032c18d080b0aa4ae9d82dcd3db0a76c47", "generator_version": "3.0"}
{"id": "v3_test_id_00002009", "prompt": "Evaluate: -4 + (4 + (-7))", "solution_steps": ["Add: 4 + (-7) = -3", "Add: -4 + (-3) = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "expression", "math_text": "-4 + (4 + (-7))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 4, \"c\": -7}", "seed": "2094350691091835638", "semantic_fingerprint": "sha256:84356f7e0f96e0eeb8855deec1826088625e9dae88f620ef494559253c153d6d", "generator_version": "3.0"}
{"id": "v3_test_id_00002010", "prompt": "Evaluate: 0 / (-99) / (95 * (6 / (-1)) * (-9))", "solution_steps": ["Divide: 0 / (-99) = 0", "Divide: 6 / (-1) = -6", "Multiply: 95 * (-6) = -570", "Multiply: -570 * (-9) = 5130", "Divide: 0 / 5130 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-99) / (95 * (6 / (-1)) * (-9))", "variable": null, "family": "expression_5op", "shape": "(/ (/ n n) (* (* n (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -99, \"c\": 95, \"d\": 6, \"e\": -1, \"f\": -9}", "seed": "4445106683684681547", "semantic_fingerprint": "sha256:14efcd802d7756b496acfdde123896641f01c32143731a998a8238c3e72954c7", "generator_version": "3.0"}
{"id": "v3_test_id_00002011", "prompt": "What value of x satisfies x = 8(x + 24) - 283?", "solution_steps": ["Expand: x = 8x + 192 - 283", "Combine constants: x = 8x - 91", "Subtract 8x from both sides: -7x = -91", "Divide both sides by -7: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 8(x + 24) - 283", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 24, \"d\": -283, \"x\": 13}", "seed": "1960426134030940661", "semantic_fingerprint": "sha256:8ae37bfabfb18114bdf6689d999a32b592aa20e09b30f749410dc578e8194e73", "generator_version": "3.0"}
{"id": "v3_test_id_00002012", "prompt": "Solve for x: -8x = -11(x - 20) + 4", "solution_steps": ["Expand: -8x = -11x + 220 + 4", "Combine constants: -8x = -11x + 224", "Add 11x to both sides: 3x = 224", "Divide both sides by 3: x = 224/3"], "final_answer": "224/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8x = -11(x - 20) + 4", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -11, \"c\": 20, \"d\": 4}", "seed": "11364936052825847684", "semantic_fingerprint": "sha256:d7ba94c58658080a9bca45731d2a2ab2625604a0bc7d74bc000854a177b0488f", "generator_version": "3.0"}
{"id": "v3_test_id_00002013", "prompt": "What is 747 * 282 / (-99 - (-990))?", "solution_steps": ["Multiply: 747 * 282 = 210654", "Subtract: -99 - (-990) = 891", "Divide: 210654 / 891 = 7802/33"], "final_answer": "7802/33", "answer_type": "rational", "kind": "expression", "math_text": "747 * 282 / (-99 - (-990))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 747, \"b\": 282, \"c\": -99, \"d\": -990}", "seed": "9725486157639310229", "semantic_fingerprint": "sha256:91527cbb27bbd33552eb99bc55b3467724c1f9b50638df03b45fb5bd64d23f4d", "generator_version": "3.0"}
{"id": "v3_test_id_00002014", "prompt": "Solve for x: -5(x + 383) + 14 = 12(x + 509) + 23", "solution_steps": ["Expand: -5x - 1915 + 14 = 12(x + 509) + 23", "Expand: -5x - 1915 + 14 = 12x + 6108 + 23", "Combine constants: -5x - 1901 = 12x + 6108 + 23", "Combine constants: -5x - 1901 = 12x + 6131", "Subtract 12x from both sides: -17x - 1901 = 6131", "Add 1901 to both sides: -17x = 8032", "Divide both sides by -17: x = -8032/17"], "final_answer": "-8032/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x + 383) + 14 = 12(x + 509) + 23", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 383, \"c\": 14, \"d\": 12, \"e\": 509, \"f\": 23}", "seed": "12309628607759666170", "semantic_fingerprint": "sha256:bc99eb2ffd51c9d391be342b898edf4e3f0cb7be088a33d1864300150a0603bd", "generator_version": "3.0"}
{"id": "v3_test_id_00002015", "prompt": "Solve the equation x + 4 = 657 for x.", "solution_steps": ["Subtract 4 from both sides: x = 653"], "final_answer": "653", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4 = 657", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 657}", "seed": "14443148832296430486", "semantic_fingerprint": "sha256:66a5285f4f4c3553de422290d84b84f5e8145b53c80ca87c1d7673ab9b92fe9d", "generator_version": "3.0"}
{"id": "v3_test_id_00002016", "prompt": "Calculate: -612 - (-959 + (-3))", "solution_steps": ["Add: -959 + (-3) = -962", "Subtract: -612 - (-962) = 350"], "final_answer": "350", "answer_type": "integer", "kind": "expression", "math_text": "-612 - (-959 + (-3))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -612, \"b\": -959, \"c\": -3}", "seed": "11556211125619118602", "semantic_fingerprint": "sha256:bdbf7db338a1d6ee54d0cfd47dcef029494505a53ef0fd88455bafcae6fd5159", "generator_version": "3.0"}
{"id": "v3_test_id_00002017", "prompt": "Evaluate: 7 + 8 - 7", "solution_steps": ["Add: 7 + 8 = 15", "Subtract: 15 - 7 = 8"], "final_answer": "8", "answer_type": "integer", "kind": "expression", "math_text": "7 + 8 - 7", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": 7}", "seed": "17770581970156636564", "semantic_fingerprint": "sha256:2d6199e1993368c4b47b156af945711d6a73a6732a43931d1d1756c5189b7c59", "generator_version": "3.0"}
{"id": "v3_test_id_00002018", "prompt": "Calculate: -505 / 77 * 0", "solution_steps": ["Divide: -505 / 77 = -505/77", "Multiply: (-505/77) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-505 / 77 * 0", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -505, \"b\": 77, \"c\": 0}", "seed": "104847315536410199", "semantic_fingerprint": "sha256:77d2eae7c53bb882efbdf6f5d0375e76602585009f1e6043b73fb891303072cc", "generator_version": "3.0"}
{"id": "v3_test_id_00002019", "prompt": "Calculate: -68 - (-6) * 54 + 757", "solution_steps": ["Multiply: -6 * 54 = -324", "Subtract: -68 - (-324) = 256", "Add: 256 + 757 = 1013"], "final_answer": "1013", "answer_type": "integer", "kind": "expression", "math_text": "-68 - (-6) * 54 + 757", "variable": null, "family": "expression_3op", "shape": "(+ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": -6, \"c\": 54, \"d\": 757}", "seed": "10506418419367892636", "semantic_fingerprint": "sha256:71974a3cb7808a63a735a7def6b9fa39701b0818d871f67ef4bc92159d7db085", "generator_version": "3.0"}
{"id": "v3_test_id_00002020", "prompt": "Calculate: (-12 - (-3)) * (-318)", "solution_steps": ["Subtract: -12 - (-3) = -9", "Multiply: -9 * (-318) = 2862"], "final_answer": "2862", "answer_type": "integer", "kind": "expression", "math_text": "(-12 - (-3)) * (-318)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": -3, \"c\": -318}", "seed": "17023089647155232852", "semantic_fingerprint": "sha256:e847857daf867a778823bc11638a669e7e968990736451166d43934b7d85eba8", "generator_version": "3.0"}
{"id": "v3_test_id_00002021", "prompt": "Find x: x - 77 = 3x - 71", "solution_steps": ["Subtract 3x from both sides: -2x - 77 = -71", "Add 77 to both sides: -2x = 6", "Divide both sides by -2: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 77 = 3x - 71", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": 3, \"d\": -71, \"x\": -3}", "seed": "1808752738543830521", "semantic_fingerprint": "sha256:3d6694ef8c6e68fb75d8b51b3f538c710a3cbe199b138da4315003079db98dc2", "generator_version": "3.0"}
{"id": "v3_test_id_00002022", "prompt": "What is (-706 / 40 + 75 / 390) * 7?", "solution_steps": ["Divide: -706 / 40 = -353/20", "Divide: 75 / 390 = 5/26", "Add: -353/20 + 5/26 = -4539/260", "Multiply: (-4539/260) * 7 = -31773/260"], "final_answer": "-31773/260", "answer_type": "rational", "kind": "expression", "math_text": "(-706 / 40 + 75 / 390) * 7", "variable": null, "family": "expression_4op", "shape": "(* (+ (/ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -706, \"b\": 40, \"c\": 75, \"d\": 390, \"e\": 7}", "seed": "16044613522744453956", "semantic_fingerprint": "sha256:5ae99f4abcbc4015d835be44a5aa08bf6ce77886e3d60e4d822d1da54883dcc3", "generator_version": "3.0"}
{"id": "v3_test_id_00002023", "prompt": "What value of x satisfies -7x - 91 = -3(x + 4)?", "solution_steps": ["Expand: -7x - 91 = -3x - 12", "Add 3x to both sides: -4x - 91 = -12", "Add 91 to both sides: -4x = 79", "Divide both sides by -4: x = -79/4"], "final_answer": "-79/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7x - 91 = -3(x + 4)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 91, \"c\": -3, \"d\": 4}", "seed": "3585707111749287302", "semantic_fingerprint": "sha256:7fa64ebca44a28d34e08646b0624920497a4a7421120ad50c5c572fa061c74e3", "generator_version": "3.0"}
{"id": "v3_test_id_00002024", "prompt": "Solve the equation 2(x - 68) = x - 53 for x.", "solution_steps": ["Expand: 2x - 136 = x - 53", "Subtract x from both sides: x - 136 = -53", "Add 136 to both sides: x = 83"], "final_answer": "83", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 68) = x - 53", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 68, \"c\": 53}", "seed": "9687143982111900047", "semantic_fingerprint": "sha256:6a76186fafee5ea22d4cccc2e5938c995f0e8ce43850610956782a97bdc67fab", "generator_version": "3.0"}
{"id": "v3_test_id_00002025", "prompt": "Calculate: 24 - 680", "solution_steps": ["Subtract: 24 - 680 = -656"], "final_answer": "-656", "answer_type": "integer", "kind": "expression", "math_text": "24 - 680", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": 680}", "seed": "14770705252917904620", "semantic_fingerprint": "sha256:457992ba26a120298dfb2337d4de4c7197b41ac254ed0ac2d24f49fba132a56b", "generator_version": "3.0"}
{"id": "v3_test_id_00002026", "prompt": "Solve for x: x - 145 = -6(x + 30)", "solution_steps": ["Expand: x - 145 = -6x - 180", "Add 6x to both sides: 7x - 145 = -180", "Add 145 to both sides: 7x = -35", "Divide both sides by 7: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 145 = -6(x + 30)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 30, \"d\": -145, \"x\": -5}", "seed": "5706422057349842736", "semantic_fingerprint": "sha256:e2f055e00177fbaf9c23e6a1aaa4e30a517db5ec29f7327070c1b4bca0c76768", "generator_version": "3.0"}
{"id": "v3_test_id_00002027", "prompt": "Compute: (-793 - 29) / (-3)", "solution_steps": ["Subtract: -793 - 29 = -822", "Divide: -822 / (-3) = 274"], "final_answer": "274", "answer_type": "integer", "kind": "expression", "math_text": "(-793 - 29) / (-3)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -793, \"b\": 29, \"c\": -3}", "seed": "12865594844432094184", "semantic_fingerprint": "sha256:848f520be442aaa1481e7ee877259901f53a5ca3db403d5dc1a6545a9e86eb72", "generator_version": "3.0"}
{"id": "v3_test_id_00002028", "prompt": "Calculate: -12 - 81 - (5 + 812) / 7", "solution_steps": ["Subtract: -12 - 81 = -93", "Add: 5 + 812 = 817", "Divide: 817 / 7 = 817/7", "Subtract: -93 - 817/7 = -1468/7"], "final_answer": "-1468/7", "answer_type": "rational", "kind": "expression", "math_text": "-12 - 81 - (5 + 812) / 7", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 81, \"c\": 5, \"d\": 812, \"e\": 7}", "seed": "12564570905637631892", "semantic_fingerprint": "sha256:b1812705f082d8c6f3a9b0895e4c5250a908ebd05a22f6653e2610ff57684890", "generator_version": "3.0"}
{"id": "v3_test_id_00002029", "prompt": "Compute: 2 * (-62)", "solution_steps": ["Multiply: 2 * (-62) = -124"], "final_answer": "-124", "answer_type": "integer", "kind": "expression", "math_text": "2 * (-62)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -62}", "seed": "12745816147302713927", "semantic_fingerprint": "sha256:166e0fe05bfcdc67becb2fde9c468e765713f96c9219fe556b654937f048c310", "generator_version": "3.0"}
{"id": "v3_test_id_00002030", "prompt": "Compute: 44 + (-90)", "solution_steps": ["Add: 44 + (-90) = -46"], "final_answer": "-46", "answer_type": "integer", "kind": "expression", "math_text": "44 + (-90)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": -90}", "seed": "15000547601010250170", "semantic_fingerprint": "sha256:6e3edd00a210ba63a170155e8c1f0715187572d3fdba6ecfebfbedf0fbe15d6a", "generator_version": "3.0"}
{"id": "v3_test_id_00002031", "prompt": "Compute: -547 * 13 + (-1) / (-65)", "solution_steps": ["Multiply: -547 * 13 = -7111", "Divide: -1 / (-65) = 1/65", "Add: -7111 + 1/65 = -462214/65"], "final_answer": "-462214/65", "answer_type": "rational", "kind": "expression", "math_text": "-547 * 13 + (-1) / (-65)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -547, \"b\": 13, \"c\": -1, \"d\": -65}", "seed": "1337285025236926266", "semantic_fingerprint": "sha256:f25fe0a6933246ad709f1572f89667928a4044060152a8675a94ccf3a40cf1ac", "generator_version": "3.0"}
{"id": "v3_test_id_00002032", "prompt": "Evaluate: 18 * (-92) * 2", "solution_steps": ["Multiply: 18 * (-92) = -1656", "Multiply: -1656 * 2 = -3312"], "final_answer": "-3312", "answer_type": "integer", "kind": "expression", "math_text": "18 * (-92) * 2", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": -92, \"c\": 2}", "seed": "5213245481785911390", "semantic_fingerprint": "sha256:f10c3ace968842eb88507248d37001edd834a126214d0c0ddbeb73ea5aea56c6", "generator_version": "3.0"}
{"id": "v3_test_id_00002033", "prompt": "Compute: 89 / ((-35 + 43) / 855)", "solution_steps": ["Add: -35 + 43 = 8", "Divide: 8 / 855 = 8/855", "Divide: 89 / (8/855) = 76095/8"], "final_answer": "76095/8", "answer_type": "rational", "kind": "expression", "math_text": "89 / ((-35 + 43) / 855)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": -35, \"c\": 43, \"d\": 855}", "seed": "11884211754933078668", "semantic_fingerprint": "sha256:1f48b34c852ffaee182ce9f770374e6bc5f5523f92d8e30191f45d9fdf80ccde", "generator_version": "3.0"}
{"id": "v3_test_id_00002034", "prompt": "Compute: (713 - (-7)) * 7 / (-6)", "solution_steps": ["Subtract: 713 - (-7) = 720", "Multiply: 720 * 7 = 5040", "Divide: 5040 / (-6) = -840"], "final_answer": "-840", "answer_type": "integer", "kind": "expression", "math_text": "(713 - (-7)) * 7 / (-6)", "variable": null, "family": "expression_3op", "shape": "(/ (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 713, \"b\": -7, \"c\": 7, \"d\": -6}", "seed": "14752752653477734123", "semantic_fingerprint": "sha256:1e2dc9591bc54ba48f8e022860c5c0d48a8c624aaa2eb2d03d0f2a034449ea2f", "generator_version": "3.0"}
{"id": "v3_test_id_00002035", "prompt": "Compute: 75 / (-55 - (-99) / 729)", "solution_steps": ["Divide: -99 / 729 = -11/81", "Subtract: -55 - (-11/81) = -4444/81", "Divide: 75 / (-4444/81) = -6075/4444"], "final_answer": "-6075/4444", "answer_type": "rational", "kind": "expression", "math_text": "75 / (-55 - (-99) / 729)", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": -55, \"c\": -99, \"d\": 729}", "seed": "16967372133938508775", "semantic_fingerprint": "sha256:e766ca32e917f7e93ac90bf758cf85a7c01d486b3ed1f05c21e674a509d98191", "generator_version": "3.0"}
{"id": "v3_test_id_00002036", "prompt": "Compute: -7 - 4 / 98", "solution_steps": ["Divide: 4 / 98 = 2/49", "Subtract: -7 - 2/49 = -345/49"], "final_answer": "-345/49", "answer_type": "rational", "kind": "expression", "math_text": "-7 - 4 / 98", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 4, \"c\": 98}", "seed": "6804555297326955592", "semantic_fingerprint": "sha256:39247d0e7f613bfea50855f48c2012e829e85298572ee962abfd13ba493f6e96", "generator_version": "3.0"}
{"id": "v3_test_id_00002037", "prompt": "Calculate: 1 * (-8)", "solution_steps": ["Multiply: 1 * (-8) = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-8)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -8}", "seed": "7639895892091806271", "semantic_fingerprint": "sha256:f59dfd9d9f7a880d8966b100f10b7d655badb5a68d0a583dc33bc2fc4e476e96", "generator_version": "3.0"}
{"id": "v3_test_id_00002038", "prompt": "Solve the equation 3x = x + 5 for x.", "solution_steps": ["Subtract x from both sides: 2x = 5", "Divide both sides by 2: x = 5/2"], "final_answer": "5/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x = x + 5", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 5}", "seed": "10467121741945089122", "semantic_fingerprint": "sha256:b8ccdcb9da349df09d9bdadbc8747a437c86cb9e3efda6119481905417cc66e2", "generator_version": "3.0"}
{"id": "v3_test_id_00002039", "prompt": "Calculate: 9 / 7", "solution_steps": ["Divide: 9 / 7 = 9/7"], "final_answer": "9/7", "answer_type": "rational", "kind": "expression", "math_text": "9 / 7", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7}", "seed": "17734734007959991179", "semantic_fingerprint": "sha256:9f0f4017f693321741133bee210282f59bb10253c5581af60c3d9faa679a5e5e", "generator_version": "3.0"}
{"id": "v3_test_id_00002040", "prompt": "What is (312 + (-3)) * (-28)?", "solution_steps": ["Add: 312 + (-3) = 309", "Multiply: 309 * (-28) = -8652"], "final_answer": "-8652", "answer_type": "integer", "kind": "expression", "math_text": "(312 + (-3)) * (-28)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 312, \"b\": -3, \"c\": -28}", "seed": "16935155303987486699", "semantic_fingerprint": "sha256:e54387fcd1d7daca3bab7a7b9c31a03a62291afb4f522a9fadabb89d5ad83d6a", "generator_version": "3.0"}
{"id": "v3_test_id_00002041", "prompt": "Compute: 10 + (-973)", "solution_steps": ["Add: 10 + (-973) = -963"], "final_answer": "-963", "answer_type": "integer", "kind": "expression", "math_text": "10 + (-973)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -973}", "seed": "4176733832978885734", "semantic_fingerprint": "sha256:dfa5176ccdd0f39048a936daf5fda13b542d7f0f1cd3de9678626c732846a68c", "generator_version": "3.0"}
{"id": "v3_test_id_00002042", "prompt": "What is -684 * (-75)?", "solution_steps": ["Multiply: -684 * (-75) = 51300"], "final_answer": "51300", "answer_type": "integer", "kind": "expression", "math_text": "-684 * (-75)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -684, \"b\": -75}", "seed": "4529371861069853267", "semantic_fingerprint": "sha256:387525c5fcddb3c5474d086eb6932017d9fa364af0457464c7ad8537e9e5ad46", "generator_version": "3.0"}
{"id": "v3_test_id_00002043", "prompt": "What value of x satisfies -10x + 62 = x - 125?", "solution_steps": ["Subtract x from both sides: -11x + 62 = -125", "Subtract 62 from both sides: -11x = -187", "Divide both sides by -11: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x + 62 = x - 125", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 62, \"d\": -125, \"x\": 17}", "seed": "18317219374924193335", "semantic_fingerprint": "sha256:5b348ff55b044dbb6791191283e5d209ca000953e9ac761117b30a9090c04743", "generator_version": "3.0"}
{"id": "v3_test_id_00002044", "prompt": "Solve for x: x = 5(x - 525)", "solution_steps": ["Expand: x = 5x - 2625", "Subtract 5x from both sides: -4x = -2625", "Divide both sides by -4: x = 2625/4"], "final_answer": "2625/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 5(x - 525)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 525}", "seed": "16886558194622605097", "semantic_fingerprint": "sha256:8034309f8ba6f376ee51d84f0e8bcef912df08dc0e106f19e17a7a771f321eac", "generator_version": "3.0"}
{"id": "v3_test_id_00002045", "prompt": "Find x: -8(x - 9) - 546 = x", "solution_steps": ["Expand: -8x + 72 - 546 = x", "Combine constants: -8x - 474 = x", "Subtract x from both sides: -9x - 474 = 0", "Add 474 to both sides: -9x = 474", "Divide both sides by -9: x = -158/3"], "final_answer": "-158/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x - 9) - 546 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 9, \"c\": 546}", "seed": "4035056083104426951", "semantic_fingerprint": "sha256:e1d50b123bf6f3326e28ba74144df10321de459bf9ec7c4408406ad58969038f", "generator_version": "3.0"}
{"id": "v3_test_id_00002046", "prompt": "What is 591 * (-63)?", "solution_steps": ["Multiply: 591 * (-63) = -37233"], "final_answer": "-37233", "answer_type": "integer", "kind": "expression", "math_text": "591 * (-63)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 591, \"b\": -63}", "seed": "15527104400620628065", "semantic_fingerprint": "sha256:7a7aca59a36d51c9e8fe0e776a90e9bbf670c8ebef4d3d0974fb7558f5196359", "generator_version": "3.0"}
{"id": "v3_test_id_00002047", "prompt": "Compute: 0 + (-14)", "solution_steps": ["Add: 0 + (-14) = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-14)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -14}", "seed": "13365509341677874543", "semantic_fingerprint": "sha256:8a083ee7a65af4f3446639189e64464c90a1018c1a2239cc808db5f808c47a6a", "generator_version": "3.0"}
{"id": "v3_test_id_00002048", "prompt": "Solve the equation -8(x - 270) - 881 = -6(x + 65) - 78 for x.", "solution_steps": ["Expand: -8x + 2160 - 881 = -6(x + 65) - 78", "Expand: -8x + 2160 - 881 = -6x - 390 - 78", "Combine constants: -8x + 1279 = -6x - 390 - 78", "Combine constants: -8x + 1279 = -6x - 468", "Add 6x to both sides: -2x + 1279 = -468", "Subtract 1279 from both sides: -2x = -1747", "Divide both sides by -2: x = 1747/2"], "final_answer": "1747/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x - 270) - 881 = -6(x + 65) - 78", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 270, \"c\": 881, \"d\": -6, \"e\": 65, \"f\": 78}", "seed": "13481569301203684925", "semantic_fingerprint": "sha256:edff03e9bdddf052de7e53196859d59804fad396b5717cf96817f5363a82ca22", "generator_version": "3.0"}
{"id": "v3_test_id_00002049", "prompt": "Compute: -30 * (36 - 727 / 857)", "solution_steps": ["Divide: 727 / 857 = 727/857", "Subtract: 36 - 727/857 = 30125/857", "Multiply: -30 * (30125/857) = -903750/857"], "final_answer": "-903750/857", "answer_type": "rational", "kind": "expression", "math_text": "-30 * (36 - 727 / 857)", "variable": null, "family": "expression_3op", "shape": "(* n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": 36, \"c\": 727, \"d\": 857}", "seed": "1031794289331543303", "semantic_fingerprint": "sha256:f3a0577e0d444f5eafaecf05e3de08a900781f39c8d1c8d1054afc062ed33bf8", "generator_version": "3.0"}
{"id": "v3_test_id_00002050", "prompt": "Compute: -1 - 86", "solution_steps": ["Subtract: -1 - 86 = -87"], "final_answer": "-87", "answer_type": "integer", "kind": "expression", "math_text": "-1 - 86", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 86}", "seed": "12009886069040478239", "semantic_fingerprint": "sha256:ea389764382aae5fdbf14982f5498c00f0799a30c4eabea67a46d017d5cb14f7", "generator_version": "3.0"}
{"id": "v3_test_id_00002051", "prompt": "Calculate: 31 / (42 / (-8) + 50)", "solution_steps": ["Divide: 42 / (-8) = -21/4", "Add: -21/4 + 50 = 179/4", "Divide: 31 / (179/4) = 124/179"], "final_answer": "124/179", "answer_type": "rational", "kind": "expression", "math_text": "31 / (42 / (-8) + 50)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 42, \"c\": -8, \"d\": 50}", "seed": "14504342825579580864", "semantic_fingerprint": "sha256:2de0ac2aa295261b19b0f210bf9488230b6aaa4c4b564f7271a94d9bc2373b6d", "generator_version": "3.0"}
{"id": "v3_test_id_00002052", "prompt": "Find x: 3(x + 625) + 419 = -7(x + 278)", "solution_steps": ["Expand: 3x + 1875 + 419 = -7(x + 278)", "Expand: 3x + 1875 + 419 = -7x - 1946", "Combine constants: 3x + 2294 = -7x - 1946", "Add 7x to both sides: 10x + 2294 = -1946", "Subtract 2294 from both sides: 10x = -4240", "Divide both sides by 10: x = -424"], "final_answer": "-424", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 625) + 419 = -7(x + 278)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 625, \"c\": 419, \"d\": -7, \"e\": 278}", "seed": "12624789596288678823", "semantic_fingerprint": "sha256:e5c36a5b2e4f8de201451c2b5a73c0e85a34aa880473965eabd37ec80827dc96", "generator_version": "3.0"}
{"id": "v3_test_id_00002053", "prompt": "Compute: 7 * 505", "solution_steps": ["Multiply: 7 * 505 = 3535"], "final_answer": "3535", "answer_type": "integer", "kind": "expression", "math_text": "7 * 505", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 505}", "seed": "17880072901748959772", "semantic_fingerprint": "sha256:240d404cedca2485832cd63ed54ad2642885c25098f9559e839f53d14d2e4021", "generator_version": "3.0"}
{"id": "v3_test_id_00002054", "prompt": "Solve the equation 12(x - 89) = 8(x + 859) - 859 for x.", "solution_steps": ["Expand: 12x - 1068 = 8(x + 859) - 859", "Expand: 12x - 1068 = 8x + 6872 - 859", "Combine constants: 12x - 1068 = 8x + 6013", "Subtract 8x from both sides: 4x - 1068 = 6013", "Add 1068 to both sides: 4x = 7081", "Divide both sides by 4: x = 7081/4"], "final_answer": "7081/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 89) = 8(x + 859) - 859", "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\": 8, \"d\": 859, \"e\": 859}", "seed": "1298640691517497373", "semantic_fingerprint": "sha256:12fffa083842a0cf5f3b581f37f2d19f1402ced2a872485f7b78129a9bdf5d18", "generator_version": "3.0"}
{"id": "v3_test_id_00002055", "prompt": "What is (4 + (-3)) * (0 - (-5))?", "solution_steps": ["Add: 4 + (-3) = 1", "Subtract: 0 - (-5) = 5", "Multiply: 1 * 5 = 5"], "final_answer": "5", "answer_type": "integer", "kind": "expression", "math_text": "(4 + (-3)) * (0 - (-5))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -3, \"c\": 0, \"d\": -5}", "seed": "852350894183423225", "semantic_fingerprint": "sha256:4f712945104bc2a626518cb30d8e23c4d8e32aeb1e0a8dd2bf3f2ed5e772bacb", "generator_version": "3.0"}
{"id": "v3_test_id_00002056", "prompt": "Solve the equation -4x = x - 85 for x.", "solution_steps": ["Subtract x from both sides: -5x = -85", "Divide both sides by -5: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x = x - 85", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"c\": -85, \"x\": 17}", "seed": "6271246129753435340", "semantic_fingerprint": "sha256:269bf64a8c6c11a5b42ba80722cf83441d441d2e8df2b9659bae1ee15bf21141", "generator_version": "3.0"}
{"id": "v3_test_id_00002057", "prompt": "What value of x satisfies -2(x - 220) + 39 = x + 470?", "solution_steps": ["Expand: -2x + 440 + 39 = x + 470", "Combine constants: -2x + 479 = x + 470", "Subtract x from both sides: -3x + 479 = 470", "Subtract 479 from both sides: -3x = -9", "Divide both sides by -3: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 220) + 39 = x + 470", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 220, \"c\": 39, \"e\": 470, \"x\": 3}", "seed": "9695000814514725", "semantic_fingerprint": "sha256:26fa6b951335b3c88dd85a4971396a49889722864337373f1314d49177cd6e76", "generator_version": "3.0"}
{"id": "v3_test_id_00002058", "prompt": "Compute: 91 / (-683 / (-4) / 1)", "solution_steps": ["Divide: -683 / (-4) = 683/4", "Divide: (683/4) / 1 = 683/4", "Divide: 91 / (683/4) = 364/683"], "final_answer": "364/683", "answer_type": "rational", "kind": "expression", "math_text": "91 / (-683 / (-4) / 1)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": -683, \"c\": -4, \"d\": 1}", "seed": "11247564680357310048", "semantic_fingerprint": "sha256:5fd0224df84e6c08d9d11b1fab600be6f099d8df50ee68cd5cadd6912d4cc60e", "generator_version": "3.0"}
{"id": "v3_test_id_00002059", "prompt": "Solve the equation 11(x - 68) = -8x for x.", "solution_steps": ["Expand: 11x - 748 = -8x", "Add 8x to both sides: 19x - 748 = 0", "Add 748 to both sides: 19x = 748", "Divide both sides by 19: x = 748/19"], "final_answer": "748/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 68) = -8x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 68, \"c\": -8}", "seed": "8977008419848148740", "semantic_fingerprint": "sha256:b007f73b2eb2aace8f26d0eb986a34a557c994e83ef033b0455df6185ac65625", "generator_version": "3.0"}
{"id": "v3_test_id_00002060", "prompt": "Calculate: -2 * 2 * (-62)", "solution_steps": ["Multiply: -2 * 2 = -4", "Multiply: -4 * (-62) = 248"], "final_answer": "248", "answer_type": "integer", "kind": "expression", "math_text": "-2 * 2 * (-62)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 2, \"c\": -62}", "seed": "2320261442688222526", "semantic_fingerprint": "sha256:0ec23ae0f56e94e3b232cfb6af80dd86cb90b6815005eed721a03d4e15f24a28", "generator_version": "3.0"}
{"id": "v3_test_id_00002061", "prompt": "Solve the equation 4(x + 54) - 7 = 12x + 305 for x.", "solution_steps": ["Expand: 4x + 216 - 7 = 12x + 305", "Combine constants: 4x + 209 = 12x + 305", "Subtract 12x from both sides: -8x + 209 = 305", "Subtract 209 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 + 54) - 7 = 12x + 305", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 54, \"c\": 7, \"d\": 12, \"f\": 305, \"x\": -12}", "seed": "4004889837259486062", "semantic_fingerprint": "sha256:5562dffca05fe02f6065e3b816cc9459e6dbb65de842a4e9e324eafc1ef3940e", "generator_version": "3.0"}
{"id": "v3_test_id_00002062", "prompt": "Compute: -92 + 361 * 18", "solution_steps": ["Multiply: 361 * 18 = 6498", "Add: -92 + 6498 = 6406"], "final_answer": "6406", "answer_type": "integer", "kind": "expression", "math_text": "-92 + 361 * 18", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": 361, \"c\": 18}", "seed": "6637406122435822283", "semantic_fingerprint": "sha256:5356fd7f5f5f8a561af330b98a3126357e4f8bc758677e1930c4948b94f7c3f2", "generator_version": "3.0"}
{"id": "v3_test_id_00002063", "prompt": "Compute: (5 + 421) / (-38 / (7 * (-7)))", "solution_steps": ["Add: 5 + 421 = 426", "Multiply: 7 * (-7) = -49", "Divide: -38 / (-49) = 38/49", "Divide: 426 / (38/49) = 10437/19"], "final_answer": "10437/19", "answer_type": "rational", "kind": "expression", "math_text": "(5 + 421) / (-38 / (7 * (-7)))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (/ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 421, \"c\": -38, \"d\": 7, \"e\": -7}", "seed": "17891951824071485049", "semantic_fingerprint": "sha256:a1649d44c1d092e9b804b8c50dc0c1840f8f923965f3756d01e20693058a48e8", "generator_version": "3.0"}
{"id": "v3_test_id_00002064", "prompt": "What value of x satisfies 10(x - 2) = x - 4?", "solution_steps": ["Expand: 10x - 20 = x - 4", "Subtract x from both sides: 9x - 20 = -4", "Add 20 to both sides: 9x = 16", "Divide both sides by 9: x = 16/9"], "final_answer": "16/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 2) = x - 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": 4}", "seed": "18435071344981566565", "semantic_fingerprint": "sha256:def4e97b91a645a62f6a89b9a541d0ac73dca7d9606a05d80d2f1c50994477c0", "generator_version": "3.0"}
{"id": "v3_test_id_00002065", "prompt": "Calculate: -5 * 763", "solution_steps": ["Multiply: -5 * 763 = -3815"], "final_answer": "-3815", "answer_type": "integer", "kind": "expression", "math_text": "-5 * 763", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 763}", "seed": "14370149282412505810", "semantic_fingerprint": "sha256:025a08449a63ab8d801a00ba0c72333604ba3142a572c394a62c43c16f312611", "generator_version": "3.0"}
{"id": "v3_test_id_00002066", "prompt": "What value of x satisfies 3x + 5 = 5x + 5?", "solution_steps": ["Subtract 5x from both sides: -2x + 5 = 5", "Subtract 5 from both sides: -2x = 0", "Divide both sides by -2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x + 5 = 5x + 5", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 5, \"c\": 5, \"d\": 5}", "seed": "18107296861237977090", "semantic_fingerprint": "sha256:358220bd69e6b35d91de9d72782f8bc16a31e1d78727dd380f2d2932c1333d95", "generator_version": "3.0"}
{"id": "v3_test_id_00002067", "prompt": "Evaluate: (61 + 972) / (-9)", "solution_steps": ["Add: 61 + 972 = 1033", "Divide: 1033 / (-9) = -1033/9"], "final_answer": "-1033/9", "answer_type": "rational", "kind": "expression", "math_text": "(61 + 972) / (-9)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": 972, \"c\": -9}", "seed": "17103119382532936263", "semantic_fingerprint": "sha256:10d95d93f2ed2cd1e6f01d2566c0ae3ef2102460d520ae8cfb92ea6677f6632b", "generator_version": "3.0"}
{"id": "v3_test_id_00002068", "prompt": "Evaluate: (17 - 840) * (-43 + (-3))", "solution_steps": ["Subtract: 17 - 840 = -823", "Add: -43 + (-3) = -46", "Multiply: -823 * (-46) = 37858"], "final_answer": "37858", "answer_type": "integer", "kind": "expression", "math_text": "(17 - 840) * (-43 + (-3))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": 840, \"c\": -43, \"d\": -3}", "seed": "6033517541082261631", "semantic_fingerprint": "sha256:85fd9ab8abe7988aae5ecde4f9ccda1492a9025f4ee7e0bd5c546b3c09b0d784", "generator_version": "3.0"}
{"id": "v3_test_id_00002069", "prompt": "What is -44 + (-37)?", "solution_steps": ["Add: -44 + (-37) = -81"], "final_answer": "-81", "answer_type": "integer", "kind": "expression", "math_text": "-44 + (-37)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -37}", "seed": "10159213280332140533", "semantic_fingerprint": "sha256:3e05dc7ecbaebf98df6d85cc5a921bad7bef68b9aba4cc63d5da5dbe888f2dba", "generator_version": "3.0"}
{"id": "v3_test_id_00002070", "prompt": "Solve for x: 10(x - 3) - 202 = -6(x + 68)", "solution_steps": ["Expand: 10x - 30 - 202 = -6(x + 68)", "Expand: 10x - 30 - 202 = -6x - 408", "Combine constants: 10x - 232 = -6x - 408", "Add 6x to both sides: 16x - 232 = -408", "Add 232 to both sides: 16x = -176", "Divide both sides by 16: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 3) - 202 = -6(x + 68)", "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\": 68, \"f\": -202, \"x\": -11}", "seed": "8457956086072626393", "semantic_fingerprint": "sha256:33c98c9db4dfc9f86445bb7e814d54c9dc7df0b11406aa2c168e239a79c9aa91", "generator_version": "3.0"}
{"id": "v3_test_id_00002071", "prompt": "Calculate: -44 / 67 / 2", "solution_steps": ["Divide: -44 / 67 = -44/67", "Divide: (-44/67) / 2 = -22/67"], "final_answer": "-22/67", "answer_type": "rational", "kind": "expression", "math_text": "-44 / 67 / 2", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": 67, \"c\": 2}", "seed": "15126715960235426242", "semantic_fingerprint": "sha256:044f22ecbc681b6d8d8e81c8dd8df91a8eb224341be614f5daff7b424217714a", "generator_version": "3.0"}
{"id": "v3_test_id_00002072", "prompt": "Evaluate: (3 - 68) * 1", "solution_steps": ["Subtract: 3 - 68 = -65", "Multiply: -65 * 1 = -65"], "final_answer": "-65", "answer_type": "integer", "kind": "expression", "math_text": "(3 - 68) * 1", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 68, \"c\": 1}", "seed": "16724828991006181411", "semantic_fingerprint": "sha256:37529d5dcd2ae35d34afac397f3c6e9036e0f8f00e5c554797d4d55d0e6ce00a", "generator_version": "3.0"}
{"id": "v3_test_id_00002073", "prompt": "What is 560 * (-75)?", "solution_steps": ["Multiply: 560 * (-75) = -42000"], "final_answer": "-42000", "answer_type": "integer", "kind": "expression", "math_text": "560 * (-75)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 560, \"b\": -75}", "seed": "9849495169029974779", "semantic_fingerprint": "sha256:e316a174631dfd7ca86f8b18cd7db3c7b37d6ac1b874f1a6106afb4550682fd7", "generator_version": "3.0"}
{"id": "v3_test_id_00002074", "prompt": "Evaluate: 70 * (-2 - (-6)) * (-462)", "solution_steps": ["Subtract: -2 - (-6) = 4", "Multiply: 70 * 4 = 280", "Multiply: 280 * (-462) = -129360"], "final_answer": "-129360", "answer_type": "integer", "kind": "expression", "math_text": "70 * (-2 - (-6)) * (-462)", "variable": null, "family": "expression_3op", "shape": "(* (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": -2, \"c\": -6, \"d\": -462}", "seed": "4096321402539707340", "semantic_fingerprint": "sha256:5a3ac000f5fc44c952c4e1dc886083ba374773afe1945062684349ed16346d65", "generator_version": "3.0"}
{"id": "v3_test_id_00002075", "prompt": "Find x: 8(x - 78) + 673 = x", "solution_steps": ["Expand: 8x - 624 + 673 = x", "Combine constants: 8x + 49 = x", "Subtract x from both sides: 7x + 49 = 0", "Subtract 49 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) + 673 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 78, \"d\": 673, \"x\": -7}", "seed": "11156562880437812198", "semantic_fingerprint": "sha256:99581990d32f8b3995a825203e730117ce429b856ed8b42e49d4030d59993c0a", "generator_version": "3.0"}
{"id": "v3_test_id_00002076", "prompt": "Find x: 7(x - 38) = x - 266", "solution_steps": ["Expand: 7x - 266 = x - 266", "Subtract x from both sides: 6x - 266 = -266", "Add 266 to both sides: 6x = 0", "Divide both sides by 6: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 38) = x - 266", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 38, \"d\": -266, \"x\": 0}", "seed": "6275027948350214880", "semantic_fingerprint": "sha256:bcce2ff8323d9298d1311d353c8d7ce65797a34a66bc6f436f117d0f4d05f10a", "generator_version": "3.0"}
{"id": "v3_test_id_00002077", "prompt": "Find x: 8(x + 99) - 7 = 10(x - 26)", "solution_steps": ["Expand: 8x + 792 - 7 = 10(x - 26)", "Expand: 8x + 792 - 7 = 10x - 260", "Combine constants: 8x + 785 = 10x - 260", "Subtract 10x from both sides: -2x + 785 = -260", "Subtract 785 from both sides: -2x = -1045", "Divide both sides by -2: x = 1045/2"], "final_answer": "1045/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 99) - 7 = 10(x - 26)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 99, \"c\": 7, \"d\": 10, \"e\": 26}", "seed": "977038639574820201", "semantic_fingerprint": "sha256:9263467ca8f1f9b8296d76bc2190fa8daf176db6985e4a505ac5a27f072f14be", "generator_version": "3.0"}
{"id": "v3_test_id_00002078", "prompt": "Compute: 12 / (-31)", "solution_steps": ["Divide: 12 / (-31) = -12/31"], "final_answer": "-12/31", "answer_type": "rational", "kind": "expression", "math_text": "12 / (-31)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -31}", "seed": "12801683739935155656", "semantic_fingerprint": "sha256:7911455571ceacd32b0ed23869c1a0547388383426e7945b9f87b495307832fb", "generator_version": "3.0"}
{"id": "v3_test_id_00002079", "prompt": "Compute: 822 / (-6) / 27", "solution_steps": ["Divide: 822 / (-6) = -137", "Divide: -137 / 27 = -137/27"], "final_answer": "-137/27", "answer_type": "rational", "kind": "expression", "math_text": "822 / (-6) / 27", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 822, \"b\": -6, \"c\": 27}", "seed": "12978779491994823693", "semantic_fingerprint": "sha256:f9b8c448a4b8d8182074ff284857c1def2bddbcdb1e7eef78fac9b7d5ac2a5f1", "generator_version": "3.0"}
{"id": "v3_test_id_00002080", "prompt": "Find x: -12(x - 61) + 24 = x + 4", "solution_steps": ["Expand: -12x + 732 + 24 = x + 4", "Combine constants: -12x + 756 = x + 4", "Subtract x from both sides: -13x + 756 = 4", "Subtract 756 from both sides: -13x = -752", "Divide both sides by -13: x = 752/13"], "final_answer": "752/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x - 61) + 24 = x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 61, \"c\": 24, \"d\": 4}", "seed": "17693670242680231937", "semantic_fingerprint": "sha256:1e2a9b6c9c2146ebdef186622f2bdf5bdb77ca71038b156aebb89b98710d35e0", "generator_version": "3.0"}
{"id": "v3_test_id_00002081", "prompt": "Calculate: (-344 - (-5) + 95) * (-40 + 35)", "solution_steps": ["Subtract: -344 - (-5) = -339", "Add: -339 + 95 = -244", "Add: -40 + 35 = -5", "Multiply: -244 * (-5) = 1220"], "final_answer": "1220", "answer_type": "integer", "kind": "expression", "math_text": "(-344 - (-5) + 95) * (-40 + 35)", "variable": null, "family": "expression_4op", "shape": "(* (+ (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -344, \"b\": -5, \"c\": 95, \"d\": -40, \"e\": 35}", "seed": "14025224545931090687", "semantic_fingerprint": "sha256:b401fe0e97c05c95f0919b53ffb012936c57d0bce18e257d83e17b16504f8922", "generator_version": "3.0"}
{"id": "v3_test_id_00002082", "prompt": "Calculate: -41 + 798", "solution_steps": ["Add: -41 + 798 = 757"], "final_answer": "757", "answer_type": "integer", "kind": "expression", "math_text": "-41 + 798", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": 798}", "seed": "286004942182129710", "semantic_fingerprint": "sha256:201d9aceca38f2f75a08f627e8e5b569907de3e7a27a6562442e7d9988ef6251", "generator_version": "3.0"}
{"id": "v3_test_id_00002083", "prompt": "What is 38 * 77?", "solution_steps": ["Multiply: 38 * 77 = 2926"], "final_answer": "2926", "answer_type": "integer", "kind": "expression", "math_text": "38 * 77", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": 77}", "seed": "5995071298800488853", "semantic_fingerprint": "sha256:a3a70eef53a8ab0e6b069d971d569198493a0182867818972272fe7738e78042", "generator_version": "3.0"}
{"id": "v3_test_id_00002084", "prompt": "What is 1 - (-2 - (-95) + (37 - 62))?", "solution_steps": ["Subtract: -2 - (-95) = 93", "Subtract: 37 - 62 = -25", "Add: 93 + (-25) = 68", "Subtract: 1 - 68 = -67"], "final_answer": "-67", "answer_type": "integer", "kind": "expression", "math_text": "1 - (-2 - (-95) + (37 - 62))", "variable": null, "family": "expression_4op", "shape": "(- n (+ (- n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -2, \"c\": -95, \"d\": 37, \"e\": 62}", "seed": "5981895001034206100", "semantic_fingerprint": "sha256:ed491d2379407aec251477b4188bf87c55b7e27e649bae4b08d5388b0c4c173b", "generator_version": "3.0"}
{"id": "v3_test_id_00002085", "prompt": "Solve the equation -8(x - 5) + 18 = 3(x + 3) + 269 for x.", "solution_steps": ["Expand: -8x + 40 + 18 = 3(x + 3) + 269", "Expand: -8x + 40 + 18 = 3x + 9 + 269", "Combine constants: -8x + 58 = 3x + 9 + 269", "Combine constants: -8x + 58 = 3x + 278", "Subtract 3x from both sides: -11x + 58 = 278", "Subtract 58 from both sides: -11x = 220", "Divide both sides by -11: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 5) + 18 = 3(x + 3) + 269", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 5, \"c\": 18, \"d\": 3, \"e\": 3, \"g\": 269, \"x\": -20}", "seed": "3058704472776882174", "semantic_fingerprint": "sha256:70fe0a71cab9573d13886b62c9c189bc8f4de88c85045bdc45d6ad376682a5cc", "generator_version": "3.0"}
{"id": "v3_test_id_00002086", "prompt": "Calculate: -92 / (7 * 642)", "solution_steps": ["Multiply: 7 * 642 = 4494", "Divide: -92 / 4494 = -46/2247"], "final_answer": "-46/2247", "answer_type": "rational", "kind": "expression", "math_text": "-92 / (7 * 642)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": 7, \"c\": 642}", "seed": "13788633651893051661", "semantic_fingerprint": "sha256:d1c1baca055ea80d9dd9c83afdd0c87628c7cc61aca686e02d64a80db7d3f2dd", "generator_version": "3.0"}
{"id": "v3_test_id_00002087", "prompt": "Find x: -12(x - 9) = -8(x + 541)", "solution_steps": ["Expand: -12x + 108 = -8(x + 541)", "Expand: -12x + 108 = -8x - 4328", "Add 8x to both sides: -4x + 108 = -4328", "Subtract 108 from both sides: -4x = -4436", "Divide both sides by -4: x = 1109"], "final_answer": "1109", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 9) = -8(x + 541)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 9, \"c\": -8, \"d\": 541}", "seed": "9120459337807856109", "semantic_fingerprint": "sha256:0a13c524a66394a0964c95faf53a55fea271f082f5322645776fd4a7244e2fb3", "generator_version": "3.0"}
{"id": "v3_test_id_00002088", "prompt": "Find x: -10x + 1 = 3(x + 9) + 59", "solution_steps": ["Expand: -10x + 1 = 3x + 27 + 59", "Combine constants: -10x + 1 = 3x + 86", "Subtract 3x from both sides: -13x + 1 = 86", "Subtract 1 from both sides: -13x = 85", "Divide both sides by -13: x = -85/13"], "final_answer": "-85/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10x + 1 = 3(x + 9) + 59", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 1, \"c\": 3, \"d\": 9, \"e\": 59}", "seed": "13332214379112763325", "semantic_fingerprint": "sha256:8123be5654c43886de449274cce7b7bb97d266ad54d73a6f2c5c894ef5ff4cfd", "generator_version": "3.0"}
{"id": "v3_test_id_00002089", "prompt": "Evaluate: 68 * (-78 / (-47) * (-68)) / 28", "solution_steps": ["Divide: -78 / (-47) = 78/47", "Multiply: (78/47) * (-68) = -5304/47", "Multiply: 68 * (-5304/47) = -360672/47", "Divide: (-360672/47) / 28 = -90168/329"], "final_answer": "-90168/329", "answer_type": "rational", "kind": "expression", "math_text": "68 * (-78 / (-47) * (-68)) / 28", "variable": null, "family": "expression_4op", "shape": "(/ (* n (* (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": -78, \"c\": -47, \"d\": -68, \"e\": 28}", "seed": "14686306866043482743", "semantic_fingerprint": "sha256:218bb0d8ef74f317400940cc19f34f93747f1284d4ea8c5b677ef3fe7be3a05c", "generator_version": "3.0"}
{"id": "v3_test_id_00002090", "prompt": "Solve for x: 9(x + 7) + 77 = -4x - 9", "solution_steps": ["Expand: 9x + 63 + 77 = -4x - 9", "Combine constants: 9x + 140 = -4x - 9", "Add 4x to both sides: 13x + 140 = -9", "Subtract 140 from both sides: 13x = -149", "Divide both sides by 13: x = -149/13"], "final_answer": "-149/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 7) + 77 = -4x - 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": 77, \"d\": -4, \"e\": 9}", "seed": "5580131049144088356", "semantic_fingerprint": "sha256:fce2944a57703881de634c061f7406a75b03680bdbc2fbe5610ba4b4a265d4e4", "generator_version": "3.0"}
{"id": "v3_test_id_00002091", "prompt": "What is -9 * (-68)?", "solution_steps": ["Multiply: -9 * (-68) = 612"], "final_answer": "612", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (-68)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -68}", "seed": "601428209083269637", "semantic_fingerprint": "sha256:0b98fb1db629f41c6b48574a2a5b523764e1ce8999c5f4166219d7307157a6ee", "generator_version": "3.0"}
{"id": "v3_test_id_00002092", "prompt": "Calculate: -8 - 0 - (-588) / 552 - (-23 + (-9))", "solution_steps": ["Subtract: -8 - 0 = -8", "Divide: -588 / 552 = -49/46", "Subtract: -8 - (-49/46) = -319/46", "Add: -23 + (-9) = -32", "Subtract: -319/46 - (-32) = 1153/46"], "final_answer": "1153/46", "answer_type": "rational", "kind": "expression", "math_text": "-8 - 0 - (-588) / 552 - (-23 + (-9))", "variable": null, "family": "expression_5op", "shape": "(- (- (- n n) (/ n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 0, \"c\": -588, \"d\": 552, \"e\": -23, \"f\": -9}", "seed": "12265515868730557087", "semantic_fingerprint": "sha256:bba49be69b6cb08f4b6aac037e360865ebeafbe95bc91555eb5a29c6049e6895", "generator_version": "3.0"}
{"id": "v3_test_id_00002093", "prompt": "Solve for x: -8x + 63 = 8(x + 6) - 2", "solution_steps": ["Expand: -8x + 63 = 8x + 48 - 2", "Combine constants: -8x + 63 = 8x + 46", "Subtract 8x from both sides: -16x + 63 = 46", "Subtract 63 from both sides: -16x = -17", "Divide both sides by -16: x = 17/16"], "final_answer": "17/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8x + 63 = 8(x + 6) - 2", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 63, \"c\": 8, \"d\": 6, \"e\": 2}", "seed": "3617926482192307325", "semantic_fingerprint": "sha256:d812fb1fae3272278a0c9c1d79b93c152ea76eebd4ad314c274f4699faf4445c", "generator_version": "3.0"}
{"id": "v3_test_id_00002094", "prompt": "Solve for x: 6(x - 17) = 2", "solution_steps": ["Expand: 6x - 102 = 2", "Add 102 to both sides: 6x = 104", "Divide both sides by 6: x = 52/3"], "final_answer": "52/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 17) = 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 17, \"c\": 2}", "seed": "7396736389129088518", "semantic_fingerprint": "sha256:d04b0cc5037244e32090ec7780ac54489a98997c1389c22fc579d542a27e3a3b", "generator_version": "3.0"}
{"id": "v3_test_id_00002095", "prompt": "Compute: 9 / ((0 + (-44)) * 7) + (-8)", "solution_steps": ["Add: 0 + (-44) = -44", "Multiply: -44 * 7 = -308", "Divide: 9 / (-308) = -9/308", "Add: -9/308 + (-8) = -2473/308"], "final_answer": "-2473/308", "answer_type": "rational", "kind": "expression", "math_text": "9 / ((0 + (-44)) * 7) + (-8)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (* (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 0, \"c\": -44, \"d\": 7, \"e\": -8}", "seed": "14405763900189755108", "semantic_fingerprint": "sha256:5986499fbeca983875d3630859c6495ee187b109e5f1c726a005570858832b77", "generator_version": "3.0"}
{"id": "v3_test_id_00002096", "prompt": "What is -53 + (8 - 39)?", "solution_steps": ["Subtract: 8 - 39 = -31", "Add: -53 + (-31) = -84"], "final_answer": "-84", "answer_type": "integer", "kind": "expression", "math_text": "-53 + (8 - 39)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": 8, \"c\": 39}", "seed": "14416728747105373280", "semantic_fingerprint": "sha256:e64c8065bd3f86475984b21eccae3cd4fcf31db456af88391a767fe84fcc71fe", "generator_version": "3.0"}
{"id": "v3_test_id_00002097", "prompt": "Solve the equation -12x = x - 39 for x.", "solution_steps": ["Subtract x from both sides: -13x = -39", "Divide both sides by -13: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x = x - 39", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"c\": -39, \"x\": 3}", "seed": "2235908718063973834", "semantic_fingerprint": "sha256:4a1b8dbac6f68fafffa67a350888e2cd6835ae29fd5c10902e7ae068042432cd", "generator_version": "3.0"}
{"id": "v3_test_id_00002098", "prompt": "Evaluate: -8 / 3 + 53 / (-41 - (-7))", "solution_steps": ["Divide: -8 / 3 = -8/3", "Subtract: -41 - (-7) = -34", "Divide: 53 / (-34) = -53/34", "Add: -8/3 + (-53/34) = -431/102"], "final_answer": "-431/102", "answer_type": "rational", "kind": "expression", "math_text": "-8 / 3 + 53 / (-41 - (-7))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 3, \"c\": 53, \"d\": -41, \"e\": -7}", "seed": "11618711160698232419", "semantic_fingerprint": "sha256:5ae3618d548ded616a9b9904b53e853a2d9ae93c2672ed89503b26096c911bd0", "generator_version": "3.0"}
{"id": "v3_test_id_00002099", "prompt": "Evaluate: -4 / (9 / (906 - 830))", "solution_steps": ["Subtract: 906 - 830 = 76", "Divide: 9 / 76 = 9/76", "Divide: -4 / (9/76) = -304/9"], "final_answer": "-304/9", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (9 / (906 - 830))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 9, \"c\": 906, \"d\": 830}", "seed": "11291735696272344860", "semantic_fingerprint": "sha256:515cde2b12890249a0fa1e75fe58fe6fd06604fdc5628529c8edf030a453828e", "generator_version": "3.0"}
{"id": "v3_test_id_00002100", "prompt": "What is (693 + (-450)) / (-81) - 53 * 43?", "solution_steps": ["Add: 693 + (-450) = 243", "Divide: 243 / (-81) = -3", "Multiply: 53 * 43 = 2279", "Subtract: -3 - 2279 = -2282"], "final_answer": "-2282", "answer_type": "integer", "kind": "expression", "math_text": "(693 + (-450)) / (-81) - 53 * 43", "variable": null, "family": "expression_4op", "shape": "(- (/ (+ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 693, \"b\": -450, \"c\": -81, \"d\": 53, \"e\": 43}", "seed": "1747401367843397903", "semantic_fingerprint": "sha256:68092d0c012d04d2f5efd6a5510ff255ae367289622f91de083f92f0882ad9d3", "generator_version": "3.0"}
{"id": "v3_test_id_00002101", "prompt": "Calculate: 653 * (-94) * 0", "solution_steps": ["Multiply: 653 * (-94) = -61382", "Multiply: -61382 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "653 * (-94) * 0", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 653, \"b\": -94, \"c\": 0}", "seed": "9872172627814186084", "semantic_fingerprint": "sha256:a15721c96f33cbb7c424eae2052dc9a410bd0518bed18a16b93d1cd7c792399a", "generator_version": "3.0"}
{"id": "v3_test_id_00002102", "prompt": "Calculate: -729 * (50 + (-85))", "solution_steps": ["Add: 50 + (-85) = -35", "Multiply: -729 * (-35) = 25515"], "final_answer": "25515", "answer_type": "integer", "kind": "expression", "math_text": "-729 * (50 + (-85))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -729, \"b\": 50, \"c\": -85}", "seed": "6859594232739981918", "semantic_fingerprint": "sha256:ddd0ef6e5596f5644c063e8ecec4eb03ff6341ac18c15f9f13e12660c275cd94", "generator_version": "3.0"}
{"id": "v3_test_id_00002103", "prompt": "Evaluate: 281 / (99 + (-122) / (-6))", "solution_steps": ["Divide: -122 / (-6) = 61/3", "Add: 99 + 61/3 = 358/3", "Divide: 281 / (358/3) = 843/358"], "final_answer": "843/358", "answer_type": "rational", "kind": "expression", "math_text": "281 / (99 + (-122) / (-6))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 281, \"b\": 99, \"c\": -122, \"d\": -6}", "seed": "9367243836817197416", "semantic_fingerprint": "sha256:ec9fadd6c3abf37126ac24f2d571e92ed989797a33d4fb1641d06520472b242c", "generator_version": "3.0"}
{"id": "v3_test_id_00002104", "prompt": "What is 36 + 93 * (-6)?", "solution_steps": ["Multiply: 93 * (-6) = -558", "Add: 36 + (-558) = -522"], "final_answer": "-522", "answer_type": "integer", "kind": "expression", "math_text": "36 + 93 * (-6)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": 93, \"c\": -6}", "seed": "14926933682775035726", "semantic_fingerprint": "sha256:3cc6e53e24cb26f4353f3d06a2db350fc68fa8e26ecb7ae89484bf21a0e75a3c", "generator_version": "3.0"}
{"id": "v3_test_id_00002105", "prompt": "What is 8 * 32 - 0?", "solution_steps": ["Multiply: 8 * 32 = 256", "Subtract: 256 - 0 = 256"], "final_answer": "256", "answer_type": "integer", "kind": "expression", "math_text": "8 * 32 - 0", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 32, \"c\": 0}", "seed": "16771505896583435651", "semantic_fingerprint": "sha256:b751205257ed2347f94893424b26356ae5ed08dc1ec828fa0f79f469709715e2", "generator_version": "3.0"}
{"id": "v3_test_id_00002106", "prompt": "Compute: -986 / (-2 * 96)", "solution_steps": ["Multiply: -2 * 96 = -192", "Divide: -986 / (-192) = 493/96"], "final_answer": "493/96", "answer_type": "rational", "kind": "expression", "math_text": "-986 / (-2 * 96)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -986, \"b\": -2, \"c\": 96}", "seed": "11103601172624211216", "semantic_fingerprint": "sha256:945063a435e76580365ab64345c2dd65a8466be7ed5b755769e70793381a82bd", "generator_version": "3.0"}
{"id": "v3_test_id_00002107", "prompt": "What value of x satisfies 2x + 57 = 10x + 145?", "solution_steps": ["Subtract 10x from both sides: -8x + 57 = 145", "Subtract 57 from both sides: -8x = 88", "Divide both sides by -8: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x + 57 = 10x + 145", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 57, \"c\": 10, \"e\": 145, \"x\": -11}", "seed": "3831529153626827221", "semantic_fingerprint": "sha256:59691b680c72abc9f98151c1a735e35c10c0fbf28e1137223be4715dd1a0258e", "generator_version": "3.0"}
{"id": "v3_test_id_00002108", "prompt": "Solve for x: -12(x + 14) - 9 = -5(x - 29) - 392", "solution_steps": ["Expand: -12x - 168 - 9 = -5(x - 29) - 392", "Expand: -12x - 168 - 9 = -5x + 145 - 392", "Combine constants: -12x - 177 = -5x + 145 - 392", "Combine constants: -12x - 177 = -5x - 247", "Add 5x to both sides: -7x - 177 = -247", "Add 177 to both sides: -7x = -70", "Divide both sides by -7: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 14) - 9 = -5(x - 29) - 392", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 14, \"c\": 9, \"d\": -5, \"e\": 29, \"g\": -392, \"x\": 10}", "seed": "9132423561109406962", "semantic_fingerprint": "sha256:a7e627c5216dcc2255b123fb765042d1522feb656a341a81f28fadd402767bf6", "generator_version": "3.0"}
{"id": "v3_test_id_00002109", "prompt": "Compute: -35 - 63 - 99", "solution_steps": ["Subtract: -35 - 63 = -98", "Subtract: -98 - 99 = -197"], "final_answer": "-197", "answer_type": "integer", "kind": "expression", "math_text": "-35 - 63 - 99", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": 63, \"c\": 99}", "seed": "6810881911078503380", "semantic_fingerprint": "sha256:7facb05123bd9b86ce874682842f329bcd4866925c353d5029e2a4a577924631", "generator_version": "3.0"}
{"id": "v3_test_id_00002110", "prompt": "Compute: 32 / (-7 - 2 + (-96) - (-69 + (-711)))", "solution_steps": ["Subtract: -7 - 2 = -9", "Add: -9 + (-96) = -105", "Add: -69 + (-711) = -780", "Subtract: -105 - (-780) = 675", "Divide: 32 / 675 = 32/675"], "final_answer": "32/675", "answer_type": "rational", "kind": "expression", "math_text": "32 / (-7 - 2 + (-96) - (-69 + (-711)))", "variable": null, "family": "expression_5op", "shape": "(/ n (- (+ (- n n) n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": -7, \"c\": 2, \"d\": -96, \"e\": -69, \"f\": -711}", "seed": "3200008462976102079", "semantic_fingerprint": "sha256:d2abda580b473f43258aad0a1230f04f57d3fc8d7b33a9ba0535e775373520a2", "generator_version": "3.0"}
{"id": "v3_test_id_00002111", "prompt": "What is -1 - (-3 - (-9))?", "solution_steps": ["Subtract: -3 - (-9) = 6", "Subtract: -1 - 6 = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "expression", "math_text": "-1 - (-3 - (-9))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -3, \"c\": -9}", "seed": "10510708061520081088", "semantic_fingerprint": "sha256:8bddd248586f18ab5f00b2654b0e4a640fb40c49c73cc89e5d74c6d885d9ccae", "generator_version": "3.0"}
{"id": "v3_test_id_00002112", "prompt": "What is -361 * 143?", "solution_steps": ["Multiply: -361 * 143 = -51623"], "final_answer": "-51623", "answer_type": "integer", "kind": "expression", "math_text": "-361 * 143", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -361, \"b\": 143}", "seed": "3649035449777429744", "semantic_fingerprint": "sha256:97a441d76c6ca2e30dde3321ea290d11a2866397b2cd4f5df9a1267e83ac7b2d", "generator_version": "3.0"}
{"id": "v3_test_id_00002113", "prompt": "Solve for x: -11x - 92 = x + 4", "solution_steps": ["Subtract x from both sides: -12x - 92 = 4", "Add 92 to both sides: -12x = 96", "Divide both sides by -12: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 92 = x + 4", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 92, \"d\": 4, \"x\": -8}", "seed": "8597006349186787301", "semantic_fingerprint": "sha256:4ab0735fcee1992c17b9d5d8d7ae556bbb9c8acf86dbeb77ac0d33f328ac8b74", "generator_version": "3.0"}
{"id": "v3_test_id_00002114", "prompt": "Calculate: 950 / (-4) + (584 + 8 - 2)", "solution_steps": ["Divide: 950 / (-4) = -475/2", "Add: 584 + 8 = 592", "Subtract: 592 - 2 = 590", "Add: -475/2 + 590 = 705/2"], "final_answer": "705/2", "answer_type": "rational", "kind": "expression", "math_text": "950 / (-4) + (584 + 8 - 2)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 950, \"b\": -4, \"c\": 584, \"d\": 8, \"e\": 2}", "seed": "2882999663915771737", "semantic_fingerprint": "sha256:09e382681863093362f859c979aa7db2fa637198baa5cb855e35cb0718196027", "generator_version": "3.0"}
{"id": "v3_test_id_00002115", "prompt": "Evaluate: -82 * (-33)", "solution_steps": ["Multiply: -82 * (-33) = 2706"], "final_answer": "2706", "answer_type": "integer", "kind": "expression", "math_text": "-82 * (-33)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -82, \"b\": -33}", "seed": "16892747589773628484", "semantic_fingerprint": "sha256:be6a6fd0198c44bf5edea31a574113a4e6a2c8d274af95e755ef9ede58f224b2", "generator_version": "3.0"}
{"id": "v3_test_id_00002116", "prompt": "Solve for x: x - 60 = -80", "solution_steps": ["Add 60 to both sides: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 60 = -80", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 60, \"c\": -80, \"x\": -20}", "seed": "10763648597106030024", "semantic_fingerprint": "sha256:2d88d7b02b044232b850ba23c39f81525ac7dfe6245e951d3c69c8fee74e2598", "generator_version": "3.0"}
{"id": "v3_test_id_00002117", "prompt": "What value of x satisfies -8(x + 3) = -3(x + 52) - 46?", "solution_steps": ["Expand: -8x - 24 = -3(x + 52) - 46", "Expand: -8x - 24 = -3x - 156 - 46", "Combine constants: -8x - 24 = -3x - 202", "Add 3x to both sides: -5x - 24 = -202", "Add 24 to both sides: -5x = -178", "Divide both sides by -5: x = 178/5"], "final_answer": "178/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x + 3) = -3(x + 52) - 46", "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\": -3, \"d\": 52, \"e\": 46}", "seed": "7819641620450321581", "semantic_fingerprint": "sha256:21850cc62277ab6d618a4ecfa23a3143a11ff8c1428d11728a45ee0109357838", "generator_version": "3.0"}
{"id": "v3_test_id_00002118", "prompt": "Calculate: (97 + 7 / (-54)) / 3", "solution_steps": ["Divide: 7 / (-54) = -7/54", "Add: 97 + (-7/54) = 5231/54", "Divide: (5231/54) / 3 = 5231/162"], "final_answer": "5231/162", "answer_type": "rational", "kind": "expression", "math_text": "(97 + 7 / (-54)) / 3", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": 7, \"c\": -54, \"d\": 3}", "seed": "7873136355740938107", "semantic_fingerprint": "sha256:9af1dad6e448d5a1571240d61801fba43485dd7407f9a5c1d0200e0ad963175f", "generator_version": "3.0"}
{"id": "v3_test_id_00002119", "prompt": "Evaluate: -2 - 7 - 422 + 0 / (-57) / 5", "solution_steps": ["Subtract: -2 - 7 = -9", "Subtract: -9 - 422 = -431", "Divide: 0 / (-57) = 0", "Divide: 0 / 5 = 0", "Add: -431 + 0 = -431"], "final_answer": "-431", "answer_type": "integer", "kind": "expression", "math_text": "-2 - 7 - 422 + 0 / (-57) / 5", "variable": null, "family": "expression_5op", "shape": "(+ (- (- n n) n) (/ (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 7, \"c\": 422, \"d\": 0, \"e\": -57, \"f\": 5}", "seed": "5882373076287194332", "semantic_fingerprint": "sha256:5025a43e456e7eb71c785eab041a5c3d8d351ebd04fb6d69014fa36d6d16e697", "generator_version": "3.0"}
{"id": "v3_test_id_00002120", "prompt": "What value of x satisfies 10x = 7(x - 23)?", "solution_steps": ["Expand: 10x = 7x - 161", "Subtract 7x from both sides: 3x = -161", "Divide both sides by 3: x = -161/3"], "final_answer": "-161/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x = 7(x - 23)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 7, \"c\": 23}", "seed": "10282447517812420876", "semantic_fingerprint": "sha256:fc25a00473d3813ebb002e9efde8a7374c79acc7b0d63ce153a350887942fda6", "generator_version": "3.0"}
{"id": "v3_test_id_00002121", "prompt": "What is (3 - (502 + 6) - 91) * 59?", "solution_steps": ["Add: 502 + 6 = 508", "Subtract: 3 - 508 = -505", "Subtract: -505 - 91 = -596", "Multiply: -596 * 59 = -35164"], "final_answer": "-35164", "answer_type": "integer", "kind": "expression", "math_text": "(3 - (502 + 6) - 91) * 59", "variable": null, "family": "expression_4op", "shape": "(* (- (- n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 502, \"c\": 6, \"d\": 91, \"e\": 59}", "seed": "5716433425933827195", "semantic_fingerprint": "sha256:0828a4d04b11dcc80772ccba9d59e834f6eefc4a535b00de725e23c440f9d07a", "generator_version": "3.0"}
{"id": "v3_test_id_00002122", "prompt": "Compute: 768 + 7 - 91", "solution_steps": ["Add: 768 + 7 = 775", "Subtract: 775 - 91 = 684"], "final_answer": "684", "answer_type": "integer", "kind": "expression", "math_text": "768 + 7 - 91", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 768, \"b\": 7, \"c\": 91}", "seed": "10585778888045910024", "semantic_fingerprint": "sha256:39e28cd6d6ada7e3d8506007b5f08e38eed8b8c3b5d9a4ff900ea784cd9db36e", "generator_version": "3.0"}
{"id": "v3_test_id_00002123", "prompt": "Solve for x: 3(x - 467) = 8(x - 77)", "solution_steps": ["Expand: 3x - 1401 = 8(x - 77)", "Expand: 3x - 1401 = 8x - 616", "Subtract 8x from both sides: -5x - 1401 = -616", "Add 1401 to both sides: -5x = 785", "Divide both sides by -5: x = -157"], "final_answer": "-157", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 467) = 8(x - 77)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 467, \"c\": 8, \"d\": 77}", "seed": "15423690695233796110", "semantic_fingerprint": "sha256:c1ddde07c087a6831874daf6ca867c6fd11dd8235edb1d2ba699d54b891aa7bb", "generator_version": "3.0"}
{"id": "v3_test_id_00002124", "prompt": "Evaluate: -96 / (-614) * (-2 * 4 * 6)", "solution_steps": ["Divide: -96 / (-614) = 48/307", "Multiply: -2 * 4 = -8", "Multiply: -8 * 6 = -48", "Multiply: (48/307) * (-48) = -2304/307"], "final_answer": "-2304/307", "answer_type": "rational", "kind": "expression", "math_text": "-96 / (-614) * (-2 * 4 * 6)", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (* (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": -614, \"c\": -2, \"d\": 4, \"e\": 6}", "seed": "13630669443374755918", "semantic_fingerprint": "sha256:239ffcd39208f9e9e5c24d62bf81ef885231cebd3513891a93d64e5ed4a66df0", "generator_version": "3.0"}
{"id": "v3_test_id_00002125", "prompt": "Calculate: 502 * 8", "solution_steps": ["Multiply: 502 * 8 = 4016"], "final_answer": "4016", "answer_type": "integer", "kind": "expression", "math_text": "502 * 8", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 502, \"b\": 8}", "seed": "2918436180514779275", "semantic_fingerprint": "sha256:d66dfa4f1e543921b585a0c71051edea90a6924ddf144309f0375de3c1eecf60", "generator_version": "3.0"}
{"id": "v3_test_id_00002126", "prompt": "Compute: (55 + 104) / (-58 / (-55) - (0 - 22))", "solution_steps": ["Add: 55 + 104 = 159", "Divide: -58 / (-55) = 58/55", "Subtract: 0 - 22 = -22", "Subtract: 58/55 - (-22) = 1268/55", "Divide: 159 / (1268/55) = 8745/1268"], "final_answer": "8745/1268", "answer_type": "rational", "kind": "expression", "math_text": "(55 + 104) / (-58 / (-55) - (0 - 22))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (- (/ n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": 104, \"c\": -58, \"d\": -55, \"e\": 0, \"f\": 22}", "seed": "8817705825232934425", "semantic_fingerprint": "sha256:b37adb0329a1797619f7eb9a0246df0a6f52ab9202b403e6e3d8e52a8c2ca280", "generator_version": "3.0"}
{"id": "v3_test_id_00002127", "prompt": "What is -794 / (-7 / 6)?", "solution_steps": ["Divide: -7 / 6 = -7/6", "Divide: -794 / (-7/6) = 4764/7"], "final_answer": "4764/7", "answer_type": "rational", "kind": "expression", "math_text": "-794 / (-7 / 6)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -794, \"b\": -7, \"c\": 6}", "seed": "17171824431125782889", "semantic_fingerprint": "sha256:721ebf4d18d007178136eeb21cd7862f8f1870ffe3c20fc359b5179df466424f", "generator_version": "3.0"}
{"id": "v3_test_id_00002128", "prompt": "What value of x satisfies x = -8x - 99?", "solution_steps": ["Add 8x to both sides: 9x = -99", "Divide both sides by 9: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -8x - 99", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"c\": -99, \"x\": -11}", "seed": "12191529513900573191", "semantic_fingerprint": "sha256:06e2a55100f13b6c767732e1f4a34fcecb5904bc9a71fbf92fbeb60688df3e40", "generator_version": "3.0"}
{"id": "v3_test_id_00002129", "prompt": "Compute: -258 * 981", "solution_steps": ["Multiply: -258 * 981 = -253098"], "final_answer": "-253098", "answer_type": "integer", "kind": "expression", "math_text": "-258 * 981", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -258, \"b\": 981}", "seed": "8406759603414990653", "semantic_fingerprint": "sha256:74b13d3e01cc927084261b4e6f63cae9b8619e47666e4116418a0f8601637ab4", "generator_version": "3.0"}
{"id": "v3_test_id_00002130", "prompt": "Calculate: -63 + 99 + (-9) / 5", "solution_steps": ["Add: -63 + 99 = 36", "Divide: -9 / 5 = -9/5", "Add: 36 + (-9/5) = 171/5"], "final_answer": "171/5", "answer_type": "rational", "kind": "expression", "math_text": "-63 + 99 + (-9) / 5", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": 99, \"c\": -9, \"d\": 5}", "seed": "1074993646741080121", "semantic_fingerprint": "sha256:a5e7d2c66450b79ca8b1177e5055f244166519ee127acb7f1dfc9647c676cd62", "generator_version": "3.0"}
{"id": "v3_test_id_00002131", "prompt": "What is (-54 + 31) / (-314)?", "solution_steps": ["Add: -54 + 31 = -23", "Divide: -23 / (-314) = 23/314"], "final_answer": "23/314", "answer_type": "rational", "kind": "expression", "math_text": "(-54 + 31) / (-314)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": 31, \"c\": -314}", "seed": "8167399843951399185", "semantic_fingerprint": "sha256:e84f4683efb5c2f5bcec8c799574f395daf49c80ae37a4d2eebf4260be8c24bd", "generator_version": "3.0"}
{"id": "v3_test_id_00002132", "prompt": "Solve for x: 7(x + 56) - 4 = -3x", "solution_steps": ["Expand: 7x + 392 - 4 = -3x", "Combine constants: 7x + 388 = -3x", "Add 3x to both sides: 10x + 388 = 0", "Subtract 388 from both sides: 10x = -388", "Divide both sides by 10: x = -194/5"], "final_answer": "-194/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 56) - 4 = -3x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 56, \"c\": 4, \"d\": -3}", "seed": "844583398716828759", "semantic_fingerprint": "sha256:a214cf1654ec119093d14e0948f88f1244d30f96068d64f1a7a812bb2bb3e246", "generator_version": "3.0"}
{"id": "v3_test_id_00002133", "prompt": "Compute: -11 * (-97)", "solution_steps": ["Multiply: -11 * (-97) = 1067"], "final_answer": "1067", "answer_type": "integer", "kind": "expression", "math_text": "-11 * (-97)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": -97}", "seed": "13677842809267477551", "semantic_fingerprint": "sha256:9246f7828e1e799a2216fe78a72a462c4d5e27af9863be0a761488bff991279f", "generator_version": "3.0"}
{"id": "v3_test_id_00002134", "prompt": "Solve for x: 10x + 71 = x + 1", "solution_steps": ["Subtract x from both sides: 9x + 71 = 1", "Subtract 71 from both sides: 9x = -70", "Divide both sides by 9: x = -70/9"], "final_answer": "-70/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x + 71 = x + 1", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 71, \"c\": 1}", "seed": "7854947716362546678", "semantic_fingerprint": "sha256:bcb50c411a955909f0bbc6b096d9ebc4c947d1c2d0ec7fd9854ae8de24ff9912", "generator_version": "3.0"}
{"id": "v3_test_id_00002135", "prompt": "Evaluate: 6 - (-3 - (-42 + 34))", "solution_steps": ["Add: -42 + 34 = -8", "Subtract: -3 - (-8) = 5", "Subtract: 6 - 5 = 1"], "final_answer": "1", "answer_type": "integer", "kind": "expression", "math_text": "6 - (-3 - (-42 + 34))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -3, \"c\": -42, \"d\": 34}", "seed": "16351074044086849271", "semantic_fingerprint": "sha256:8ee8f23e6ed4d28c075f5c138531a7017c97c3040795e59769c5392513087dd7", "generator_version": "3.0"}
{"id": "v3_test_id_00002136", "prompt": "What is -28 / 3 * (-72 + 5)?", "solution_steps": ["Divide: -28 / 3 = -28/3", "Add: -72 + 5 = -67", "Multiply: (-28/3) * (-67) = 1876/3"], "final_answer": "1876/3", "answer_type": "rational", "kind": "expression", "math_text": "-28 / 3 * (-72 + 5)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": 3, \"c\": -72, \"d\": 5}", "seed": "11567635952852083825", "semantic_fingerprint": "sha256:93e9ad291727b80a74211e4a5a7dfbe476e1c38c3243808d791c4aa6026c9ae9", "generator_version": "3.0"}
{"id": "v3_test_id_00002137", "prompt": "Evaluate: -8 / (40 * 1)", "solution_steps": ["Multiply: 40 * 1 = 40", "Divide: -8 / 40 = -1/5"], "final_answer": "-1/5", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (40 * 1)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 40, \"c\": 1}", "seed": "7036548923306702896", "semantic_fingerprint": "sha256:7ba9680995e632995b4325ba7b389c1fd501f4cd8eefa874c751eba77bad8149", "generator_version": "3.0"}
{"id": "v3_test_id_00002138", "prompt": "Compute: -435 - (-42) + (28 * 94 + (-7)) / (-85)", "solution_steps": ["Subtract: -435 - (-42) = -393", "Multiply: 28 * 94 = 2632", "Add: 2632 + (-7) = 2625", "Divide: 2625 / (-85) = -525/17", "Add: -393 + (-525/17) = -7206/17"], "final_answer": "-7206/17", "answer_type": "rational", "kind": "expression", "math_text": "-435 - (-42) + (28 * 94 + (-7)) / (-85)", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (/ (+ (* n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -435, \"b\": -42, \"c\": 28, \"d\": 94, \"e\": -7, \"f\": -85}", "seed": "12729950691154250211", "semantic_fingerprint": "sha256:f04e7b367651e273d958dfabd424f91a496e3b6c6805ce90ce1180f31363750c", "generator_version": "3.0"}
{"id": "v3_test_id_00002139", "prompt": "What is 7 - (-1 + 10)?", "solution_steps": ["Add: -1 + 10 = 9", "Subtract: 7 - 9 = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "expression", "math_text": "7 - (-1 + 10)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -1, \"c\": 10}", "seed": "16947111620865563402", "semantic_fingerprint": "sha256:d6db259fc85847704ce14953ccd0308c729ae22700e4d522811da7ed11a5a4e3", "generator_version": "3.0"}
{"id": "v3_test_id_00002140", "prompt": "What is 42 * (-10 + (-4)) * ((4 + (-148)) / 1)?", "solution_steps": ["Add: -10 + (-4) = -14", "Multiply: 42 * (-14) = -588", "Add: 4 + (-148) = -144", "Divide: -144 / 1 = -144", "Multiply: -588 * (-144) = 84672"], "final_answer": "84672", "answer_type": "integer", "kind": "expression", "math_text": "42 * (-10 + (-4)) * ((4 + (-148)) / 1)", "variable": null, "family": "expression_5op", "shape": "(* (* n (+ n n)) (/ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": -10, \"c\": -4, \"d\": 4, \"e\": -148, \"f\": 1}", "seed": "13738183151957708834", "semantic_fingerprint": "sha256:dacd1730ecb3595d83a0057eefe0d2d85bcb39f0c8dabb14639fd5b1dd348fae", "generator_version": "3.0"}
{"id": "v3_test_id_00002141", "prompt": "Solve for x: -3(x - 28) + 13 = 10(x + 2) + 233", "solution_steps": ["Expand: -3x + 84 + 13 = 10(x + 2) + 233", "Expand: -3x + 84 + 13 = 10x + 20 + 233", "Combine constants: -3x + 97 = 10x + 20 + 233", "Combine constants: -3x + 97 = 10x + 253", "Subtract 10x from both sides: -13x + 97 = 253", "Subtract 97 from both sides: -13x = 156", "Divide both sides by -13: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 28) + 13 = 10(x + 2) + 233", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 28, \"c\": 13, \"d\": 10, \"e\": 2, \"g\": 233, \"x\": -12}", "seed": "4208918851249977817", "semantic_fingerprint": "sha256:00abe708c4e787708a67e35146a1d2fc2c100f1f83c7a8b77449c56f409dcaed", "generator_version": "3.0"}
{"id": "v3_test_id_00002142", "prompt": "Find x: -9x - 4 = -10x", "solution_steps": ["Add 10x to both sides: x - 4 = 0", "Add 4 to both sides: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x - 4 = -10x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -10, \"d\": -4, \"x\": 4}", "seed": "9077101324427648549", "semantic_fingerprint": "sha256:fbdfff900ec1e3b5e8b0d75802059312c81c8e59c078327a9f0556d3a3511fa3", "generator_version": "3.0"}
{"id": "v3_test_id_00002143", "prompt": "What is -28 * (88 + (-4 + (-2) - (-1)) + 6)?", "solution_steps": ["Add: -4 + (-2) = -6", "Subtract: -6 - (-1) = -5", "Add: 88 + (-5) = 83", "Add: 83 + 6 = 89", "Multiply: -28 * 89 = -2492"], "final_answer": "-2492", "answer_type": "integer", "kind": "expression", "math_text": "-28 * (88 + (-4 + (-2) - (-1)) + 6)", "variable": null, "family": "expression_5op", "shape": "(* n (+ (+ n (- (+ n n) n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": 88, \"c\": -4, \"d\": -2, \"e\": -1, \"f\": 6}", "seed": "12669808193521280229", "semantic_fingerprint": "sha256:caf307a6466296669e72be9cbbd6b23b80faf16cf7956f8be1c4f3c872209550", "generator_version": "3.0"}
{"id": "v3_test_id_00002144", "prompt": "What is -41 + (98 * (-88) + 1)?", "solution_steps": ["Multiply: 98 * (-88) = -8624", "Add: -8624 + 1 = -8623", "Add: -41 + (-8623) = -8664"], "final_answer": "-8664", "answer_type": "integer", "kind": "expression", "math_text": "-41 + (98 * (-88) + 1)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": 98, \"c\": -88, \"d\": 1}", "seed": "10976375945402708223", "semantic_fingerprint": "sha256:f03cd776c709e84fcdefa61c3a6e6702881523561ec691384b520f33255aba0d", "generator_version": "3.0"}
{"id": "v3_test_id_00002145", "prompt": "Calculate: -3 * 361 + (-2)", "solution_steps": ["Multiply: -3 * 361 = -1083", "Add: -1083 + (-2) = -1085"], "final_answer": "-1085", "answer_type": "integer", "kind": "expression", "math_text": "-3 * 361 + (-2)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 361, \"c\": -2}", "seed": "8776808145482709426", "semantic_fingerprint": "sha256:c22c781167334ffe9e3287da67ca2d9120f4eeaf4807d4f5c8da55db55729892", "generator_version": "3.0"}
{"id": "v3_test_id_00002146", "prompt": "Compute: 1 + (-24)", "solution_steps": ["Add: 1 + (-24) = -23"], "final_answer": "-23", "answer_type": "integer", "kind": "expression", "math_text": "1 + (-24)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -24}", "seed": "12667800553073386882", "semantic_fingerprint": "sha256:15de1e4f2cdcdf233cce11d03e46bf019499085165792cb49185dca9d8ffb7ed", "generator_version": "3.0"}
{"id": "v3_test_id_00002147", "prompt": "Calculate: 825 - (6 + 223) / ((-4 + 17) * 9)", "solution_steps": ["Add: 6 + 223 = 229", "Add: -4 + 17 = 13", "Multiply: 13 * 9 = 117", "Divide: 229 / 117 = 229/117", "Subtract: 825 - 229/117 = 96296/117"], "final_answer": "96296/117", "answer_type": "rational", "kind": "expression", "math_text": "825 - (6 + 223) / ((-4 + 17) * 9)", "variable": null, "family": "expression_5op", "shape": "(- n (/ (+ n n) (* (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 825, \"b\": 6, \"c\": 223, \"d\": -4, \"e\": 17, \"f\": 9}", "seed": "9339915441343041315", "semantic_fingerprint": "sha256:f98ea707cc219b13a900458b149c6fea02a310535a63fb4d12683fb77e96aa3e", "generator_version": "3.0"}
{"id": "v3_test_id_00002148", "prompt": "Solve for x: 9x + 58 = 10x + 72", "solution_steps": ["Subtract 10x from both sides: -x + 58 = 72", "Subtract 58 from both sides: -x = 14", "Divide both sides by -1: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x + 58 = 10x + 72", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 58, \"c\": 10, \"d\": 72}", "seed": "14899888017372149188", "semantic_fingerprint": "sha256:67610d171468740948145221241c82cd5a2148721f94f44a3f3eedef760c82c4", "generator_version": "3.0"}
{"id": "v3_test_id_00002149", "prompt": "Evaluate: 3 * (-6)", "solution_steps": ["Multiply: 3 * (-6) = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "expression", "math_text": "3 * (-6)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -6}", "seed": "12395105726634920261", "semantic_fingerprint": "sha256:67f0568507a612edcadb15e5228f00891811591a353d34950e5ca5650feb36a7", "generator_version": "3.0"}
{"id": "v3_test_id_00002150", "prompt": "Compute: 2 * (-71) * (291 / (-4 + (-2)))", "solution_steps": ["Multiply: 2 * (-71) = -142", "Add: -4 + (-2) = -6", "Divide: 291 / (-6) = -97/2", "Multiply: -142 * (-97/2) = 6887"], "final_answer": "6887", "answer_type": "integer", "kind": "expression", "math_text": "2 * (-71) * (291 / (-4 + (-2)))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -71, \"c\": 291, \"d\": -4, \"e\": -2}", "seed": "17277051116698170221", "semantic_fingerprint": "sha256:0ee3b741154b98f058622a834a9b7a41f4debe901f2407b7a7cd212545c6a2b3", "generator_version": "3.0"}
{"id": "v3_test_id_00002151", "prompt": "What is -924 / (210 * (-635))?", "solution_steps": ["Multiply: 210 * (-635) = -133350", "Divide: -924 / (-133350) = 22/3175"], "final_answer": "22/3175", "answer_type": "rational", "kind": "expression", "math_text": "-924 / (210 * (-635))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -924, \"b\": 210, \"c\": -635}", "seed": "16024769721267699370", "semantic_fingerprint": "sha256:827ed7d66301a33937fcbc80f3c776af2567065ea62998dbd32155b7cf57d285", "generator_version": "3.0"}
{"id": "v3_test_id_00002152", "prompt": "What is 86 / (-2) / (-7) / (-3)?", "solution_steps": ["Divide: 86 / (-2) = -43", "Divide: -43 / (-7) = 43/7", "Divide: (43/7) / (-3) = -43/21"], "final_answer": "-43/21", "answer_type": "rational", "kind": "expression", "math_text": "86 / (-2) / (-7) / (-3)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": -2, \"c\": -7, \"d\": -3}", "seed": "9133939009536007849", "semantic_fingerprint": "sha256:f6116d63c5767a9657916f148d803f7a5ac7aa4aa8238907b99bf27ad8160a1f", "generator_version": "3.0"}
{"id": "v3_test_id_00002153", "prompt": "Solve for x: 6(x + 7) - 9 = 39", "solution_steps": ["Expand: 6x + 42 - 9 = 39", "Combine constants: 6x + 33 = 39", "Subtract 33 from both sides: 6x = 6", "Divide both sides by 6: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 7) - 9 = 39", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 7, \"c\": 9, \"e\": 39, \"x\": 1}", "seed": "9002845201200508156", "semantic_fingerprint": "sha256:2d6411fef57bc8fd4560733f980b789173bf32f515b9d99070333885e8a3fc69", "generator_version": "3.0"}
{"id": "v3_test_id_00002154", "prompt": "Find x: -6(x - 9) = x - 94", "solution_steps": ["Expand: -6x + 54 = x - 94", "Subtract x from both sides: -7x + 54 = -94", "Subtract 54 from both sides: -7x = -148", "Divide both sides by -7: x = 148/7"], "final_answer": "148/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x - 9) = x - 94", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 9, \"c\": 94}", "seed": "17891658194998468373", "semantic_fingerprint": "sha256:b3037d6db80cd4436bb06d77a954d6e27176b10743d53f95da6f4616a2578f55", "generator_version": "3.0"}
{"id": "v3_test_id_00002155", "prompt": "Calculate: -7 + 34", "solution_steps": ["Add: -7 + 34 = 27"], "final_answer": "27", "answer_type": "integer", "kind": "expression", "math_text": "-7 + 34", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 34}", "seed": "17167140324660829589", "semantic_fingerprint": "sha256:d2648009a455bf12211b0a9c9402413aa254796738007c47ceb454677c93fda1", "generator_version": "3.0"}
{"id": "v3_test_id_00002156", "prompt": "Solve the equation 11x = -8x - 361 for x.", "solution_steps": ["Add 8x to both sides: 19x = -361", "Divide both sides by 19: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = -8x - 361", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -8, \"d\": -361, \"x\": -19}", "seed": "17810679199449899652", "semantic_fingerprint": "sha256:1f9cc834e3e032c7c76c734f872c2dc74a51daafa845c9324baf066b97d8925f", "generator_version": "3.0"}
{"id": "v3_test_id_00002157", "prompt": "Calculate: 941 / (3 / (284 + (-96)))", "solution_steps": ["Add: 284 + (-96) = 188", "Divide: 3 / 188 = 3/188", "Divide: 941 / (3/188) = 176908/3"], "final_answer": "176908/3", "answer_type": "rational", "kind": "expression", "math_text": "941 / (3 / (284 + (-96)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 941, \"b\": 3, \"c\": 284, \"d\": -96}", "seed": "15044276936318621652", "semantic_fingerprint": "sha256:c3f5a09979f145210e6e6d03a7833d782de3c4d251adb80679d9233ed85260c2", "generator_version": "3.0"}
{"id": "v3_test_id_00002158", "prompt": "Evaluate: -9 - 432 - (-11) * (-3) * 34", "solution_steps": ["Subtract: -9 - 432 = -441", "Multiply: -11 * (-3) = 33", "Multiply: 33 * 34 = 1122", "Subtract: -441 - 1122 = -1563"], "final_answer": "-1563", "answer_type": "integer", "kind": "expression", "math_text": "-9 - 432 - (-11) * (-3) * 34", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (* (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 432, \"c\": -11, \"d\": -3, \"e\": 34}", "seed": "4003669888210682326", "semantic_fingerprint": "sha256:638b0cf7346dd17a080bdf46f49a22b917c8c0681a94bae493ce7d5313a42a5c", "generator_version": "3.0"}
{"id": "v3_test_id_00002159", "prompt": "Solve the equation x = 10(x - 6) + 74 for x.", "solution_steps": ["Expand: x = 10x - 60 + 74", "Combine constants: x = 10x + 14", "Subtract 10x from both sides: -9x = 14", "Divide both sides by -9: x = -14/9"], "final_answer": "-14/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 10(x - 6) + 74", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 6, \"c\": 74}", "seed": "9417106854253804479", "semantic_fingerprint": "sha256:b14b5f3de8d234260db7cba104be284a0f5b9e0f78d8bb59c6093683f7121bc7", "generator_version": "3.0"}
{"id": "v3_test_id_00002160", "prompt": "Find x: 8x = 104", "solution_steps": ["Divide both sides by 8: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 104", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"c\": 104, \"x\": 13}", "seed": "5041442268755705994", "semantic_fingerprint": "sha256:626a68ddf09cdee09d339d202402689dccabac7372d9be4a2f788033d8fc4568", "generator_version": "3.0"}
{"id": "v3_test_id_00002161", "prompt": "Evaluate: 7 - 73 + ((-16 - (-7)) / 908 - (-28))", "solution_steps": ["Subtract: 7 - 73 = -66", "Subtract: -16 - (-7) = -9", "Divide: -9 / 908 = -9/908", "Subtract: -9/908 - (-28) = 25415/908", "Add: -66 + 25415/908 = -34513/908"], "final_answer": "-34513/908", "answer_type": "rational", "kind": "expression", "math_text": "7 - 73 + ((-16 - (-7)) / 908 - (-28))", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (- (/ (- n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 73, \"c\": -16, \"d\": -7, \"e\": 908, \"f\": -28}", "seed": "4807005093952728981", "semantic_fingerprint": "sha256:20212599eb7ea2612f842a746408dd5d7c21503574121997d092e1a6bdb963e7", "generator_version": "3.0"}
{"id": "v3_test_id_00002162", "prompt": "Compute: -272 * 8", "solution_steps": ["Multiply: -272 * 8 = -2176"], "final_answer": "-2176", "answer_type": "integer", "kind": "expression", "math_text": "-272 * 8", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -272, \"b\": 8}", "seed": "15079046362068937538", "semantic_fingerprint": "sha256:90ae455a0812331e210c88b7f8af6bae6eebe696d905f510a6d48207f9b0645f", "generator_version": "3.0"}
{"id": "v3_test_id_00002163", "prompt": "Evaluate: 35 * (-47)", "solution_steps": ["Multiply: 35 * (-47) = -1645"], "final_answer": "-1645", "answer_type": "integer", "kind": "expression", "math_text": "35 * (-47)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": -47}", "seed": "214950781851466503", "semantic_fingerprint": "sha256:6bbce3fa2c480d5c0ef894fd653933d74f06cd85fbfa579fa3e8df30a6c2363c", "generator_version": "3.0"}
{"id": "v3_test_id_00002164", "prompt": "Solve the equation 5(x - 8) = 4(x + 50) - 248 for x.", "solution_steps": ["Expand: 5x - 40 = 4(x + 50) - 248", "Expand: 5x - 40 = 4x + 200 - 248", "Combine constants: 5x - 40 = 4x - 48", "Subtract 4x from both sides: x - 40 = -48", "Add 40 to both sides: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 8) = 4(x + 50) - 248", "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\": 50, \"f\": -248, \"x\": -8}", "seed": "104476200942808652", "semantic_fingerprint": "sha256:1dc13ea629f68834926d6083e116f4e890d2819f3a4d23f32e48175dddb42781", "generator_version": "3.0"}
{"id": "v3_test_id_00002165", "prompt": "Find x: -12(x - 50) - 97 = 10(x - 21) + 647", "solution_steps": ["Expand: -12x + 600 - 97 = 10(x - 21) + 647", "Expand: -12x + 600 - 97 = 10x - 210 + 647", "Combine constants: -12x + 503 = 10x - 210 + 647", "Combine constants: -12x + 503 = 10x + 437", "Subtract 10x from both sides: -22x + 503 = 437", "Subtract 503 from both sides: -22x = -66", "Divide both sides by -22: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 50) - 97 = 10(x - 21) + 647", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 50, \"c\": 97, \"d\": 10, \"e\": 21, \"g\": 647, \"x\": 3}", "seed": "3160037180979951310", "semantic_fingerprint": "sha256:1c7e7a3ab1938fa4b1f2d179ae7130afd6fcb5b3842b8e210043cef56c3877ac", "generator_version": "3.0"}
{"id": "v3_test_id_00002166", "prompt": "Compute: -72 / (-5)", "solution_steps": ["Divide: -72 / (-5) = 72/5"], "final_answer": "72/5", "answer_type": "rational", "kind": "expression", "math_text": "-72 / (-5)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": -5}", "seed": "17023246505015597214", "semantic_fingerprint": "sha256:ee4f392347091d9f4d09a356304fbce0c2a71bdaad51050d37320bef06c3f1d3", "generator_version": "3.0"}
{"id": "v3_test_id_00002167", "prompt": "What is (5 - 79) / (2 - (-41))?", "solution_steps": ["Subtract: 5 - 79 = -74", "Subtract: 2 - (-41) = 43", "Divide: -74 / 43 = -74/43"], "final_answer": "-74/43", "answer_type": "rational", "kind": "expression", "math_text": "(5 - 79) / (2 - (-41))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 79, \"c\": 2, \"d\": -41}", "seed": "13302146613196302348", "semantic_fingerprint": "sha256:41fa389ba13d5c4d14b1056e6b38a5957b31e02e817ca439aac3ec66fe6db8aa", "generator_version": "3.0"}
{"id": "v3_test_id_00002168", "prompt": "Calculate: -461 + (7 - 899)", "solution_steps": ["Subtract: 7 - 899 = -892", "Add: -461 + (-892) = -1353"], "final_answer": "-1353", "answer_type": "integer", "kind": "expression", "math_text": "-461 + (7 - 899)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -461, \"b\": 7, \"c\": 899}", "seed": "443569445975879815", "semantic_fingerprint": "sha256:869c67add5aa78b4853233ce0a517fbe77302df118028a1145cc148398b7cb0d", "generator_version": "3.0"}
{"id": "v3_test_id_00002169", "prompt": "Evaluate: -18 / (-3) + (-9 + 3)", "solution_steps": ["Divide: -18 / (-3) = 6", "Add: -9 + 3 = -6", "Add: 6 + (-6) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-18 / (-3) + (-9 + 3)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": -3, \"c\": -9, \"d\": 3}", "seed": "502117809201999979", "semantic_fingerprint": "sha256:c940e655fc4b557d1f96af51d5f71b85d0654696d9320b41ddd19956610c02c2", "generator_version": "3.0"}
{"id": "v3_test_id_00002170", "prompt": "Calculate: (2 + 538) * (29 / (-4))", "solution_steps": ["Add: 2 + 538 = 540", "Divide: 29 / (-4) = -29/4", "Multiply: 540 * (-29/4) = -3915"], "final_answer": "-3915", "answer_type": "integer", "kind": "expression", "math_text": "(2 + 538) * (29 / (-4))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 538, \"c\": 29, \"d\": -4}", "seed": "7039072720421872595", "semantic_fingerprint": "sha256:cd9e054a89bcc424861eacd6a2ff3a44996daacdc112a0d94e0d5bc67ff910ee", "generator_version": "3.0"}
{"id": "v3_test_id_00002171", "prompt": "Find x: x = -6(x - 4) - 101", "solution_steps": ["Expand: x = -6x + 24 - 101", "Combine constants: x = -6x - 77", "Add 6x to both sides: 7x = -77", "Divide both sides by 7: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -6(x - 4) - 101", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 4, \"d\": -101, \"x\": -11}", "seed": "9270234997366731273", "semantic_fingerprint": "sha256:ee97b0728161fb1db090d091ab9c0926f4a8c801ba33fae698c8d87522e6eb8a", "generator_version": "3.0"}
{"id": "v3_test_id_00002172", "prompt": "Find x: 2x + 17 = 7(x - 2) + 126", "solution_steps": ["Expand: 2x + 17 = 7x - 14 + 126", "Combine constants: 2x + 17 = 7x + 112", "Subtract 7x from both sides: -5x + 17 = 112", "Subtract 17 from both sides: -5x = 95", "Divide both sides by -5: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x + 17 = 7(x - 2) + 126", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 17, \"c\": 7, \"d\": 2, \"f\": 126, \"x\": -19}", "seed": "5369387014197718321", "semantic_fingerprint": "sha256:8b841352831a2c59df004b0ffdfed3482a26648546f714cf048d479493ab86fa", "generator_version": "3.0"}
{"id": "v3_test_id_00002173", "prompt": "Solve for x: 4x + 189 = 2(x - 6) + 205", "solution_steps": ["Expand: 4x + 189 = 2x - 12 + 205", "Combine constants: 4x + 189 = 2x + 193", "Subtract 2x from both sides: 2x + 189 = 193", "Subtract 189 from both sides: 2x = 4", "Divide both sides by 2: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x + 189 = 2(x - 6) + 205", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 189, \"c\": 2, \"d\": 6, \"f\": 205, \"x\": 2}", "seed": "1781049891440698234", "semantic_fingerprint": "sha256:ea852abd5977b3aaee8a24d1660d46f39051c0a6c69195e3e24b6bf334ce95d9", "generator_version": "3.0"}
{"id": "v3_test_id_00002174", "prompt": "Find x: 11x + 52 = 9(x - 390) - 188", "solution_steps": ["Expand: 11x + 52 = 9x - 3510 - 188", "Combine constants: 11x + 52 = 9x - 3698", "Subtract 9x from both sides: 2x + 52 = -3698", "Subtract 52 from both sides: 2x = -3750", "Divide both sides by 2: x = -1875"], "final_answer": "-1875", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 52 = 9(x - 390) - 188", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 52, \"c\": 9, \"d\": 390, \"e\": 188}", "seed": "14860500473884238487", "semantic_fingerprint": "sha256:98cf10754c5a6360b920faeed5955cab3d1faa999d1be99dfbfdb04588afd630", "generator_version": "3.0"}
{"id": "v3_test_id_00002175", "prompt": "What is -58 / (502 + (-1))?", "solution_steps": ["Add: 502 + (-1) = 501", "Divide: -58 / 501 = -58/501"], "final_answer": "-58/501", "answer_type": "rational", "kind": "expression", "math_text": "-58 / (502 + (-1))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": 502, \"c\": -1}", "seed": "12111196567367910017", "semantic_fingerprint": "sha256:3b47654e629f505829d31f8f8d1f479eafc2c5d02eddd30a941575bdd1f06abd", "generator_version": "3.0"}
{"id": "v3_test_id_00002176", "prompt": "Compute: 3 + 79 / 4", "solution_steps": ["Divide: 79 / 4 = 79/4", "Add: 3 + 79/4 = 91/4"], "final_answer": "91/4", "answer_type": "rational", "kind": "expression", "math_text": "3 + 79 / 4", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 79, \"c\": 4}", "seed": "1656278001641208308", "semantic_fingerprint": "sha256:77472e83298158c8d455afe5021beb5350587f80448ec4db90f045a24e087677", "generator_version": "3.0"}
{"id": "v3_test_id_00002177", "prompt": "What is -32 * (-5) - (-93 - 85)?", "solution_steps": ["Multiply: -32 * (-5) = 160", "Subtract: -93 - 85 = -178", "Subtract: 160 - (-178) = 338"], "final_answer": "338", "answer_type": "integer", "kind": "expression", "math_text": "-32 * (-5) - (-93 - 85)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": -5, \"c\": -93, \"d\": 85}", "seed": "15716922864836514857", "semantic_fingerprint": "sha256:a68b6f88c52371cd7b72e1079ed4fcc6849ba441133ac2de87ccab45f3e3074e", "generator_version": "3.0"}
{"id": "v3_test_id_00002178", "prompt": "What is 181 - (-9)?", "solution_steps": ["Subtract: 181 - (-9) = 190"], "final_answer": "190", "answer_type": "integer", "kind": "expression", "math_text": "181 - (-9)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 181, \"b\": -9}", "seed": "6807304318056408107", "semantic_fingerprint": "sha256:2142f48415d57c1640e05adde8b11f8a6f81527d0413dc84d94fa8317ae7e315", "generator_version": "3.0"}
{"id": "v3_test_id_00002179", "prompt": "What value of x satisfies -10(x - 8) = 5(x + 71) - 8?", "solution_steps": ["Expand: -10x + 80 = 5(x + 71) - 8", "Expand: -10x + 80 = 5x + 355 - 8", "Combine constants: -10x + 80 = 5x + 347", "Subtract 5x from both sides: -15x + 80 = 347", "Subtract 80 from both sides: -15x = 267", "Divide both sides by -15: x = -89/5"], "final_answer": "-89/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 8) = 5(x + 71) - 8", "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\": 5, \"d\": 71, \"e\": 8}", "seed": "14906138238993862791", "semantic_fingerprint": "sha256:18bfb2c518c023603f013b2d12174235077f0cb2976d5e6a66353f47437f4688", "generator_version": "3.0"}
{"id": "v3_test_id_00002180", "prompt": "Calculate: 8 * (-69)", "solution_steps": ["Multiply: 8 * (-69) = -552"], "final_answer": "-552", "answer_type": "integer", "kind": "expression", "math_text": "8 * (-69)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -69}", "seed": "16664735285946127665", "semantic_fingerprint": "sha256:234717cc1aebfb5303b56e2ae302d5d2553de77d885d989ac45bc378842ddd6f", "generator_version": "3.0"}
{"id": "v3_test_id_00002181", "prompt": "What is -5 / (-54) * 80?", "solution_steps": ["Divide: -5 / (-54) = 5/54", "Multiply: (5/54) * 80 = 200/27"], "final_answer": "200/27", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-54) * 80", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -54, \"c\": 80}", "seed": "18102400418998906842", "semantic_fingerprint": "sha256:c2a8dadbb09c4123d0ef56acfd3a46da07a2881db2403eabb9040b9fcb2589c3", "generator_version": "3.0"}
{"id": "v3_test_id_00002182", "prompt": "Calculate: -8 * 261", "solution_steps": ["Multiply: -8 * 261 = -2088"], "final_answer": "-2088", "answer_type": "integer", "kind": "expression", "math_text": "-8 * 261", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 261}", "seed": "12832754882152779091", "semantic_fingerprint": "sha256:4b9b74280d61903c2e89256ace3fc6f22b4388ccbd8896a1d04e0b7fd96a7260", "generator_version": "3.0"}
{"id": "v3_test_id_00002183", "prompt": "Solve for x: 7x - 89 = 4(x + 4) - 81", "solution_steps": ["Expand: 7x - 89 = 4x + 16 - 81", "Combine constants: 7x - 89 = 4x - 65", "Subtract 4x from both sides: 3x - 89 = -65", "Add 89 to both sides: 3x = 24", "Divide both sides by 3: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 89 = 4(x + 4) - 81", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 89, \"c\": 4, \"d\": 4, \"f\": -81, \"x\": 8}", "seed": "16093049456512968621", "semantic_fingerprint": "sha256:1443d7bd34bc72e601032775ee11d93c74b16394435520deecf0ecdc261318a2", "generator_version": "3.0"}
{"id": "v3_test_id_00002184", "prompt": "Evaluate: 0 + (1 / 63 + (917 - 7))", "solution_steps": ["Divide: 1 / 63 = 1/63", "Subtract: 917 - 7 = 910", "Add: 1/63 + 910 = 57331/63", "Add: 0 + 57331/63 = 57331/63"], "final_answer": "57331/63", "answer_type": "rational", "kind": "expression", "math_text": "0 + (1 / 63 + (917 - 7))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (/ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 1, \"c\": 63, \"d\": 917, \"e\": 7}", "seed": "10112847575530131588", "semantic_fingerprint": "sha256:a51a1d04a4a443473ea2f64b0900e8de38514c5715026e71a32ed5e840e3cce9", "generator_version": "3.0"}
{"id": "v3_test_id_00002185", "prompt": "Solve the equation 7(x - 36) = 2(x + 91) - 529 for x.", "solution_steps": ["Expand: 7x - 252 = 2(x + 91) - 529", "Expand: 7x - 252 = 2x + 182 - 529", "Combine constants: 7x - 252 = 2x - 347", "Subtract 2x from both sides: 5x - 252 = -347", "Add 252 to both sides: 5x = -95", "Divide both sides by 5: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 36) = 2(x + 91) - 529", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 36, \"c\": 2, \"d\": 91, \"f\": -529, \"x\": -19}", "seed": "11809604346534048089", "semantic_fingerprint": "sha256:18d3d9facd5146f05848ae20ed8d71f0bb453b54eb67ce9e58f10da854c095a9", "generator_version": "3.0"}
{"id": "v3_test_id_00002186", "prompt": "Find x: 4(x - 17) - 71 = 3(x + 4) + 70", "solution_steps": ["Expand: 4x - 68 - 71 = 3(x + 4) + 70", "Expand: 4x - 68 - 71 = 3x + 12 + 70", "Combine constants: 4x - 139 = 3x + 12 + 70", "Combine constants: 4x - 139 = 3x + 82", "Subtract 3x from both sides: x - 139 = 82", "Add 139 to both sides: x = 221"], "final_answer": "221", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 17) - 71 = 3(x + 4) + 70", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 17, \"c\": 71, \"d\": 3, \"e\": 4, \"f\": 70}", "seed": "17652894234085169412", "semantic_fingerprint": "sha256:46c94dd11661c2275ae8d1aaa97fb48af78796f2cb0c830caf889bbc7b4c2368", "generator_version": "3.0"}
{"id": "v3_test_id_00002187", "prompt": "Solve for x: -12(x - 78) = 7(x + 39) + 8", "solution_steps": ["Expand: -12x + 936 = 7(x + 39) + 8", "Expand: -12x + 936 = 7x + 273 + 8", "Combine constants: -12x + 936 = 7x + 281", "Subtract 7x from both sides: -19x + 936 = 281", "Subtract 936 from both sides: -19x = -655", "Divide both sides by -19: x = 655/19"], "final_answer": "655/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x - 78) = 7(x + 39) + 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 78, \"c\": 7, \"d\": 39, \"e\": 8}", "seed": "433673146880201811", "semantic_fingerprint": "sha256:c004cfac74022049e4fbe4d5dbcb8920400c8da35503f1c8c7be05419e6d3481", "generator_version": "3.0"}
{"id": "v3_test_id_00002188", "prompt": "What is (2 + 662) * (-2 * (-7))?", "solution_steps": ["Add: 2 + 662 = 664", "Multiply: -2 * (-7) = 14", "Multiply: 664 * 14 = 9296"], "final_answer": "9296", "answer_type": "integer", "kind": "expression", "math_text": "(2 + 662) * (-2 * (-7))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 662, \"c\": -2, \"d\": -7}", "seed": "6233933573858555733", "semantic_fingerprint": "sha256:537ba7250abc14b0623a35ba057a7e8113314a7ea312af08d45f4917943dc06f", "generator_version": "3.0"}
{"id": "v3_test_id_00002189", "prompt": "What value of x satisfies x + 10 = 5x - 2?", "solution_steps": ["Subtract 5x from both sides: -4x + 10 = -2", "Subtract 10 from both sides: -4x = -12", "Divide both sides by -4: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 10 = 5x - 2", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 5, \"d\": -2, \"x\": 3}", "seed": "13515611619897111715", "semantic_fingerprint": "sha256:c864b090307b182350db2ca5d686890b6adadcd70a8c40cf3374840f892e030e", "generator_version": "3.0"}
{"id": "v3_test_id_00002190", "prompt": "What is (-8 + (-84 - 64)) * 1?", "solution_steps": ["Subtract: -84 - 64 = -148", "Add: -8 + (-148) = -156", "Multiply: -156 * 1 = -156"], "final_answer": "-156", "answer_type": "integer", "kind": "expression", "math_text": "(-8 + (-84 - 64)) * 1", "variable": null, "family": "expression_3op", "shape": "(* (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -84, \"c\": 64, \"d\": 1}", "seed": "8899427932547126252", "semantic_fingerprint": "sha256:133a8f37cb5fc39fca3134ea8abd9deea8785ec209eb7cd7d91daa0ecf17bf22", "generator_version": "3.0"}
{"id": "v3_test_id_00002191", "prompt": "What is (5 - (-769) - 29 / (-32) * 18) * 45?", "solution_steps": ["Subtract: 5 - (-769) = 774", "Divide: 29 / (-32) = -29/32", "Multiply: (-29/32) * 18 = -261/16", "Subtract: 774 - (-261/16) = 12645/16", "Multiply: (12645/16) * 45 = 569025/16"], "final_answer": "569025/16", "answer_type": "rational", "kind": "expression", "math_text": "(5 - (-769) - 29 / (-32) * 18) * 45", "variable": null, "family": "expression_5op", "shape": "(* (- (- n n) (* (/ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -769, \"c\": 29, \"d\": -32, \"e\": 18, \"f\": 45}", "seed": "13309094001466476606", "semantic_fingerprint": "sha256:b4ce28a737ee4e95c5db6ad7f293a4bf8b5f8a9fb3734f0c5d56a4ce3148120e", "generator_version": "3.0"}
{"id": "v3_test_id_00002192", "prompt": "Solve for x: 5x = 2(x - 30)", "solution_steps": ["Expand: 5x = 2x - 60", "Subtract 2x from both sides: 3x = -60", "Divide both sides by 3: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 2(x - 30)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2, \"c\": 30}", "seed": "14718975789086436222", "semantic_fingerprint": "sha256:d777848a4c199c29e3f36fc95ac72a03e31b7a59b57f4ecc6e1d6cd37462ecd5", "generator_version": "3.0"}
{"id": "v3_test_id_00002193", "prompt": "What is 9 + 19 * (1 + 59)?", "solution_steps": ["Add: 1 + 59 = 60", "Multiply: 19 * 60 = 1140", "Add: 9 + 1140 = 1149"], "final_answer": "1149", "answer_type": "integer", "kind": "expression", "math_text": "9 + 19 * (1 + 59)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 19, \"c\": 1, \"d\": 59}", "seed": "5403152337633179730", "semantic_fingerprint": "sha256:0d0827474895470b2824932415139113e0c25e0a62d797b0fdceb54c0e8bf686", "generator_version": "3.0"}
{"id": "v3_test_id_00002194", "prompt": "Evaluate: 35 * (-49)", "solution_steps": ["Multiply: 35 * (-49) = -1715"], "final_answer": "-1715", "answer_type": "integer", "kind": "expression", "math_text": "35 * (-49)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": -49}", "seed": "13872519833413077236", "semantic_fingerprint": "sha256:837ad4124a165ac3ef5a674d821d48e1de9f88785864b4350a1f859d6222c600", "generator_version": "3.0"}
{"id": "v3_test_id_00002195", "prompt": "Compute: -1 * 9 * (51 - (-333))", "solution_steps": ["Multiply: -1 * 9 = -9", "Subtract: 51 - (-333) = 384", "Multiply: -9 * 384 = -3456"], "final_answer": "-3456", "answer_type": "integer", "kind": "expression", "math_text": "-1 * 9 * (51 - (-333))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 9, \"c\": 51, \"d\": -333}", "seed": "2221127010869741064", "semantic_fingerprint": "sha256:73601fd82061bcb83ea81f7cc29eb666c73782336d029b0fbbf9209bef2701fc", "generator_version": "3.0"}
{"id": "v3_test_id_00002196", "prompt": "Solve for x: 12(x - 36) - 2 = -614", "solution_steps": ["Expand: 12x - 432 - 2 = -614", "Combine constants: 12x - 434 = -614", "Add 434 to both sides: 12x = -180", "Divide both sides by 12: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 36) - 2 = -614", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 36, \"c\": 2, \"e\": -614, \"x\": -15}", "seed": "12627959119491695443", "semantic_fingerprint": "sha256:351d7613876d989494773be265f34a66e54f7a5f5a61216df9c110ecf852fa62", "generator_version": "3.0"}
{"id": "v3_test_id_00002197", "prompt": "Solve for x: x + 63 = 4x - 3", "solution_steps": ["Subtract 4x from both sides: -3x + 63 = -3", "Subtract 63 from both sides: -3x = -66", "Divide both sides by -3: x = 22"], "final_answer": "22", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 63 = 4x - 3", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": 4, \"c\": 3}", "seed": "14800579129538074695", "semantic_fingerprint": "sha256:1a0aaa4c22339c88c3cffdd667cfe46ced07ae2a628bb790d6d74e42ef2f913d", "generator_version": "3.0"}
{"id": "v3_test_id_00002198", "prompt": "Calculate: 4 / (-8 / 893)", "solution_steps": ["Divide: -8 / 893 = -8/893", "Divide: 4 / (-8/893) = -893/2"], "final_answer": "-893/2", "answer_type": "rational", "kind": "expression", "math_text": "4 / (-8 / 893)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -8, \"c\": 893}", "seed": "15617065512518965771", "semantic_fingerprint": "sha256:0e411d991b926e6ed8b49b9c014964ff620043b2f3e29d31d77edd3dc5c313d9", "generator_version": "3.0"}
{"id": "v3_test_id_00002199", "prompt": "Evaluate: 4 - (104 - 423)", "solution_steps": ["Subtract: 104 - 423 = -319", "Subtract: 4 - (-319) = 323"], "final_answer": "323", "answer_type": "integer", "kind": "expression", "math_text": "4 - (104 - 423)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 104, \"c\": 423}", "seed": "15972132485459587084", "semantic_fingerprint": "sha256:05e55a8af9e85e874c291fc25607d20a6621c2fbe6dbb136a3a5f912baf9d1f0", "generator_version": "3.0"}
{"id": "v3_test_id_00002200", "prompt": "Calculate: ((-4 - 64) * 325 * (-4) + 3) / 902", "solution_steps": ["Subtract: -4 - 64 = -68", "Multiply: -68 * 325 = -22100", "Multiply: -22100 * (-4) = 88400", "Add: 88400 + 3 = 88403", "Divide: 88403 / 902 = 88403/902"], "final_answer": "88403/902", "answer_type": "rational", "kind": "expression", "math_text": "((-4 - 64) * 325 * (-4) + 3) / 902", "variable": null, "family": "expression_5op", "shape": "(/ (+ (* (* (- n n) n) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 64, \"c\": 325, \"d\": -4, \"e\": 3, \"f\": 902}", "seed": "6092938949925993808", "semantic_fingerprint": "sha256:709a36f9bada1b220b7430094196213072dcdb456a831023993d9fb5dc98e704", "generator_version": "3.0"}
{"id": "v3_test_id_00002201", "prompt": "Calculate: 31 * 75 * (-8 - (-184) - 26)", "solution_steps": ["Multiply: 31 * 75 = 2325", "Subtract: -8 - (-184) = 176", "Subtract: 176 - 26 = 150", "Multiply: 2325 * 150 = 348750"], "final_answer": "348750", "answer_type": "integer", "kind": "expression", "math_text": "31 * 75 * (-8 - (-184) - 26)", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 75, \"c\": -8, \"d\": -184, \"e\": 26}", "seed": "15417512147066174284", "semantic_fingerprint": "sha256:21a2fb91665292ebf2b9b83292bbbd4346fc145cb052a9ababa9ffb619a90cf6", "generator_version": "3.0"}
{"id": "v3_test_id_00002202", "prompt": "Calculate: 38 * (-6 / (-4) * 20) + 97 * (-93)", "solution_steps": ["Divide: -6 / (-4) = 3/2", "Multiply: (3/2) * 20 = 30", "Multiply: 38 * 30 = 1140", "Multiply: 97 * (-93) = -9021", "Add: 1140 + (-9021) = -7881"], "final_answer": "-7881", "answer_type": "integer", "kind": "expression", "math_text": "38 * (-6 / (-4) * 20) + 97 * (-93)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (* (/ n n) n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": -6, \"c\": -4, \"d\": 20, \"e\": 97, \"f\": -93}", "seed": "16615112226916239464", "semantic_fingerprint": "sha256:d5cdc1f09287f51eb1af8db247ff11c94790c129b8fa425a819a057ab0aa0527", "generator_version": "3.0"}
{"id": "v3_test_id_00002203", "prompt": "Solve for x: x - 88 = -8x", "solution_steps": ["Add 8x to both sides: 9x - 88 = 0", "Add 88 to both sides: 9x = 88", "Divide both sides by 9: x = 88/9"], "final_answer": "88/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 88 = -8x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": -8}", "seed": "1276712846626770011", "semantic_fingerprint": "sha256:48f995d8dc15ebf5812381926c1e211340b67579908d563ef03c790cd9d71ae5", "generator_version": "3.0"}
{"id": "v3_test_id_00002204", "prompt": "Evaluate: 213 * 672 + (-5)", "solution_steps": ["Multiply: 213 * 672 = 143136", "Add: 143136 + (-5) = 143131"], "final_answer": "143131", "answer_type": "integer", "kind": "expression", "math_text": "213 * 672 + (-5)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 213, \"b\": 672, \"c\": -5}", "seed": "1169301714898322648", "semantic_fingerprint": "sha256:78a7752c82d2ca7812624040aac712ebe89c2683168f5c4c1355bae66f758d0d", "generator_version": "3.0"}
{"id": "v3_test_id_00002205", "prompt": "Evaluate: -17 * (3 - (-7))", "solution_steps": ["Subtract: 3 - (-7) = 10", "Multiply: -17 * 10 = -170"], "final_answer": "-170", "answer_type": "integer", "kind": "expression", "math_text": "-17 * (3 - (-7))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": 3, \"c\": -7}", "seed": "2502412197557981106", "semantic_fingerprint": "sha256:1a575d33b56c98d6ff3d3be295f92545ce0049d1a59b314890bed46a15476792", "generator_version": "3.0"}
{"id": "v3_test_id_00002206", "prompt": "Compute: -172 * 239 + (-45)", "solution_steps": ["Multiply: -172 * 239 = -41108", "Add: -41108 + (-45) = -41153"], "final_answer": "-41153", "answer_type": "integer", "kind": "expression", "math_text": "-172 * 239 + (-45)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -172, \"b\": 239, \"c\": -45}", "seed": "5151141487698394936", "semantic_fingerprint": "sha256:16ad60cd05a52f4a03f26f704682507de90ffda322c1a6e05c324b9604f37031", "generator_version": "3.0"}
{"id": "v3_test_id_00002207", "prompt": "Compute: 847 / 6", "solution_steps": ["Divide: 847 / 6 = 847/6"], "final_answer": "847/6", "answer_type": "rational", "kind": "expression", "math_text": "847 / 6", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 847, \"b\": 6}", "seed": "17619280613665893519", "semantic_fingerprint": "sha256:ff971004069b82abfdce901296fd56440551e67085e08698e48a83de30c68f8b", "generator_version": "3.0"}
{"id": "v3_test_id_00002208", "prompt": "Evaluate: -40 / (259 * (-85)) * 741 * (8 - (-8))", "solution_steps": ["Multiply: 259 * (-85) = -22015", "Divide: -40 / (-22015) = 8/4403", "Multiply: (8/4403) * 741 = 5928/4403", "Subtract: 8 - (-8) = 16", "Multiply: (5928/4403) * 16 = 94848/4403"], "final_answer": "94848/4403", "answer_type": "rational", "kind": "expression", "math_text": "-40 / (259 * (-85)) * 741 * (8 - (-8))", "variable": null, "family": "expression_5op", "shape": "(* (* (/ n (* n n)) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": 259, \"c\": -85, \"d\": 741, \"e\": 8, \"f\": -8}", "seed": "1478090287099221831", "semantic_fingerprint": "sha256:a4998b8a26949f3a9301842c9207dfb24cb086a20f3db9201230d97ae438ffbe", "generator_version": "3.0"}
{"id": "v3_test_id_00002209", "prompt": "Evaluate: (-49 * (-62) - (-48)) * 7", "solution_steps": ["Multiply: -49 * (-62) = 3038", "Subtract: 3038 - (-48) = 3086", "Multiply: 3086 * 7 = 21602"], "final_answer": "21602", "answer_type": "integer", "kind": "expression", "math_text": "(-49 * (-62) - (-48)) * 7", "variable": null, "family": "expression_3op", "shape": "(* (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": -62, \"c\": -48, \"d\": 7}", "seed": "17658408570267043579", "semantic_fingerprint": "sha256:e028e09369f8b4273c04f4711713abf7d63788140a194bf53582c06e7056939e", "generator_version": "3.0"}
{"id": "v3_test_id_00002210", "prompt": "Evaluate: -648 - (-7)", "solution_steps": ["Subtract: -648 - (-7) = -641"], "final_answer": "-641", "answer_type": "integer", "kind": "expression", "math_text": "-648 - (-7)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -648, \"b\": -7}", "seed": "17166033682168812461", "semantic_fingerprint": "sha256:bea7f7acf28781633ac005f591727339640c61b20a54a071108bc3dce2f3109d", "generator_version": "3.0"}
{"id": "v3_test_id_00002211", "prompt": "Calculate: 1 / (-71 * 63 - 817)", "solution_steps": ["Multiply: -71 * 63 = -4473", "Subtract: -4473 - 817 = -5290", "Divide: 1 / (-5290) = -1/5290"], "final_answer": "-1/5290", "answer_type": "rational", "kind": "expression", "math_text": "1 / (-71 * 63 - 817)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -71, \"c\": 63, \"d\": 817}", "seed": "13133000361588846124", "semantic_fingerprint": "sha256:7d9d4a2493ff96b231c47c1628d048079195e682195573e141ca411f620fcdc6", "generator_version": "3.0"}
{"id": "v3_test_id_00002212", "prompt": "Compute: 0 * (66 + 62) - (-933) / 88", "solution_steps": ["Add: 66 + 62 = 128", "Multiply: 0 * 128 = 0", "Divide: -933 / 88 = -933/88", "Subtract: 0 - (-933/88) = 933/88"], "final_answer": "933/88", "answer_type": "rational", "kind": "expression", "math_text": "0 * (66 + 62) - (-933) / 88", "variable": null, "family": "expression_4op", "shape": "(- (* n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 66, \"c\": 62, \"d\": -933, \"e\": 88}", "seed": "7827003354838986629", "semantic_fingerprint": "sha256:07ec02d16cf3243bea51b410d9e6e411b25d266464ea7db6ec649a81ff815878", "generator_version": "3.0"}
{"id": "v3_test_id_00002213", "prompt": "Compute: -20 + (8 / (-794) - (-39))", "solution_steps": ["Divide: 8 / (-794) = -4/397", "Subtract: -4/397 - (-39) = 15479/397", "Add: -20 + 15479/397 = 7539/397"], "final_answer": "7539/397", "answer_type": "rational", "kind": "expression", "math_text": "-20 + (8 / (-794) - (-39))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": 8, \"c\": -794, \"d\": -39}", "seed": "7897727658580058098", "semantic_fingerprint": "sha256:a42e68687a469c8619fa46ef87f67745b505ded9666bf3d68f5fa6b39dd874dc", "generator_version": "3.0"}
{"id": "v3_test_id_00002214", "prompt": "Calculate: 89 - 96 * 1", "solution_steps": ["Multiply: 96 * 1 = 96", "Subtract: 89 - 96 = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "expression", "math_text": "89 - 96 * 1", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": 96, \"c\": 1}", "seed": "9346555863267934981", "semantic_fingerprint": "sha256:9a7cbb0ebc7ad9348b740a6d4b03992451fbf65c0fcf062cace2b9be742bfc8a", "generator_version": "3.0"}
{"id": "v3_test_id_00002215", "prompt": "What is -7 + (-56 - (-40)) - (-37 + 36)?", "solution_steps": ["Subtract: -56 - (-40) = -16", "Add: -7 + (-16) = -23", "Add: -37 + 36 = -1", "Subtract: -23 - (-1) = -22"], "final_answer": "-22", "answer_type": "integer", "kind": "expression", "math_text": "-7 + (-56 - (-40)) - (-37 + 36)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -56, \"c\": -40, \"d\": -37, \"e\": 36}", "seed": "17155965993330613779", "semantic_fingerprint": "sha256:1d48298c71526ca952a53682147b3349bc3157731256ccaf127064a80dfb41f0", "generator_version": "3.0"}
{"id": "v3_test_id_00002216", "prompt": "What value of x satisfies 3(x - 257) + 743 = x?", "solution_steps": ["Expand: 3x - 771 + 743 = x", "Combine constants: 3x - 28 = x", "Subtract x from both sides: 2x - 28 = 0", "Add 28 to both sides: 2x = 28", "Divide both sides by 2: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 257) + 743 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 257, \"d\": 743, \"x\": 14}", "seed": "14438418300854970475", "semantic_fingerprint": "sha256:f4b047ae097b66b4aa14f47bfe25c0c70baa08b44fd6ddc5e21dd05c7263e4d6", "generator_version": "3.0"}
{"id": "v3_test_id_00002217", "prompt": "Calculate: (9 + (-89)) / 3", "solution_steps": ["Add: 9 + (-89) = -80", "Divide: -80 / 3 = -80/3"], "final_answer": "-80/3", "answer_type": "rational", "kind": "expression", "math_text": "(9 + (-89)) / 3", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -89, \"c\": 3}", "seed": "3761511070864381454", "semantic_fingerprint": "sha256:88e79930dd09056bee96b48501e3cb5b93306f71ec99d9342314555f6f5b338b", "generator_version": "3.0"}
{"id": "v3_test_id_00002218", "prompt": "Evaluate: (-25 - (-99)) / 341 - 36", "solution_steps": ["Subtract: -25 - (-99) = 74", "Divide: 74 / 341 = 74/341", "Subtract: 74/341 - 36 = -12202/341"], "final_answer": "-12202/341", "answer_type": "rational", "kind": "expression", "math_text": "(-25 - (-99)) / 341 - 36", "variable": null, "family": "expression_3op", "shape": "(- (/ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": -99, \"c\": 341, \"d\": 36}", "seed": "9547120199808479503", "semantic_fingerprint": "sha256:603e08d91e1dabb9627699b5b2bd964eab64999290455ef2fa660cb076fec0c7", "generator_version": "3.0"}
{"id": "v3_test_id_00002219", "prompt": "Compute: (3 - 637) * (-91)", "solution_steps": ["Subtract: 3 - 637 = -634", "Multiply: -634 * (-91) = 57694"], "final_answer": "57694", "answer_type": "integer", "kind": "expression", "math_text": "(3 - 637) * (-91)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 637, \"c\": -91}", "seed": "14853236918456036820", "semantic_fingerprint": "sha256:ff0d0a2c12d8280fa3a36d372bdd236ffa607a36cfab72046f7116acd8d781fc", "generator_version": "3.0"}
{"id": "v3_test_id_00002220", "prompt": "Compute: 7 - (-7)", "solution_steps": ["Subtract: 7 - (-7) = 14"], "final_answer": "14", "answer_type": "integer", "kind": "expression", "math_text": "7 - (-7)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -7}", "seed": "10286119506506507841", "semantic_fingerprint": "sha256:8b00c672cdcb01da9b3ca81f894ab5ffc90550cfc4d74dd4050c7debcf45a877", "generator_version": "3.0"}
{"id": "v3_test_id_00002221", "prompt": "Evaluate: 7 - (-456) / (-3)", "solution_steps": ["Divide: -456 / (-3) = 152", "Subtract: 7 - 152 = -145"], "final_answer": "-145", "answer_type": "integer", "kind": "expression", "math_text": "7 - (-456) / (-3)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -456, \"c\": -3}", "seed": "11958289551477046565", "semantic_fingerprint": "sha256:b9b304433892bd684b905104d2e98d2eadbeff3a833b54975668db14b734ae4f", "generator_version": "3.0"}
{"id": "v3_test_id_00002222", "prompt": "Compute: -20 + (-45 + 97)", "solution_steps": ["Add: -45 + 97 = 52", "Add: -20 + 52 = 32"], "final_answer": "32", "answer_type": "integer", "kind": "expression", "math_text": "-20 + (-45 + 97)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": -45, \"c\": 97}", "seed": "8914003912683290861", "semantic_fingerprint": "sha256:4e7e4679879fae05868b376c8a44605d0bc3815996f948c00f0c4754e24bc5a1", "generator_version": "3.0"}
{"id": "v3_test_id_00002223", "prompt": "Solve for x: x + 60 = 5x", "solution_steps": ["Subtract 5x from both sides: -4x + 60 = 0", "Subtract 60 from both sides: -4x = -60", "Divide both sides by -4: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 60 = 5x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"c\": 60, \"x\": 15}", "seed": "6468827167892614521", "semantic_fingerprint": "sha256:2e67129129924c1866c98abf121f7e0528f0756295bcdaa8776762018ed2d15f", "generator_version": "3.0"}
{"id": "v3_test_id_00002224", "prompt": "Solve for x: 10x = 8(x - 7) + 74", "solution_steps": ["Expand: 10x = 8x - 56 + 74", "Combine constants: 10x = 8x + 18", "Subtract 8x from both sides: 2x = 18", "Divide both sides by 2: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = 8(x - 7) + 74", "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\": 74, \"x\": 9}", "seed": "18375860711902947336", "semantic_fingerprint": "sha256:eee4d86f5dd05802ff3fb12b5fac031c60411341efb13721b165a66ed9df256e", "generator_version": "3.0"}
{"id": "v3_test_id_00002225", "prompt": "Evaluate: -3 / (54 * (-76)) - (-84) / (-76)", "solution_steps": ["Multiply: 54 * (-76) = -4104", "Divide: -3 / (-4104) = 1/1368", "Divide: -84 / (-76) = 21/19", "Subtract: 1/1368 - 21/19 = -1511/1368"], "final_answer": "-1511/1368", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (54 * (-76)) - (-84) / (-76)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 54, \"c\": -76, \"d\": -84, \"e\": -76}", "seed": "3961997017885366499", "semantic_fingerprint": "sha256:d9f31125982540d4e31c84ca67f7771344b9740fcfafbeb6a968bad1c878c799", "generator_version": "3.0"}
{"id": "v3_test_id_00002226", "prompt": "What is 97 / (-55)?", "solution_steps": ["Divide: 97 / (-55) = -97/55"], "final_answer": "-97/55", "answer_type": "rational", "kind": "expression", "math_text": "97 / (-55)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": -55}", "seed": "11922493528282458951", "semantic_fingerprint": "sha256:f9c46ed834322c804692a1c7d4b2e20b3e49f3646c12ee4df4f1956eb50326ea", "generator_version": "3.0"}
{"id": "v3_test_id_00002227", "prompt": "Compute: 98 - (-2)", "solution_steps": ["Subtract: 98 - (-2) = 100"], "final_answer": "100", "answer_type": "integer", "kind": "expression", "math_text": "98 - (-2)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": -2}", "seed": "17738728616740874325", "semantic_fingerprint": "sha256:8a6c0366adb40f64c632727998ef7c3549f94a350fa5cab9f6c608c61f7f88f8", "generator_version": "3.0"}
{"id": "v3_test_id_00002228", "prompt": "What is 6 + (-33)?", "solution_steps": ["Add: 6 + (-33) = -27"], "final_answer": "-27", "answer_type": "integer", "kind": "expression", "math_text": "6 + (-33)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -33}", "seed": "13004460199789952435", "semantic_fingerprint": "sha256:ca6ca4ce8429ce7c16b493a23ef2647a5289e827690618ee2ceab6cf4e2ef6d5", "generator_version": "3.0"}
{"id": "v3_test_id_00002229", "prompt": "Evaluate: -711 * (-119 - 161 + (-273)) / 449", "solution_steps": ["Subtract: -119 - 161 = -280", "Add: -280 + (-273) = -553", "Multiply: -711 * (-553) = 393183", "Divide: 393183 / 449 = 393183/449"], "final_answer": "393183/449", "answer_type": "rational", "kind": "expression", "math_text": "-711 * (-119 - 161 + (-273)) / 449", "variable": null, "family": "expression_4op", "shape": "(/ (* n (+ (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -711, \"b\": -119, \"c\": 161, \"d\": -273, \"e\": 449}", "seed": "14200485921474799020", "semantic_fingerprint": "sha256:b29054e577189b700299b8dd0a34e1c5fea968287cb7fb1d31cddc8b523eb172", "generator_version": "3.0"}
{"id": "v3_test_id_00002230", "prompt": "Calculate: -66 + 463 - (-239)", "solution_steps": ["Add: -66 + 463 = 397", "Subtract: 397 - (-239) = 636"], "final_answer": "636", "answer_type": "integer", "kind": "expression", "math_text": "-66 + 463 - (-239)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": 463, \"c\": -239}", "seed": "14829654271432894032", "semantic_fingerprint": "sha256:bea6aa2ecffcb0eabc68e76a5cc3cf8f6678e4bf9d099cc8b60b2a32da1cf0aa", "generator_version": "3.0"}
{"id": "v3_test_id_00002231", "prompt": "What value of x satisfies 3(x + 22) + 51 = 9(x + 7)?", "solution_steps": ["Expand: 3x + 66 + 51 = 9(x + 7)", "Expand: 3x + 66 + 51 = 9x + 63", "Combine constants: 3x + 117 = 9x + 63", "Subtract 9x from both sides: -6x + 117 = 63", "Subtract 117 from both sides: -6x = -54", "Divide both sides by -6: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 22) + 51 = 9(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\": 22, \"c\": 9, \"d\": 7, \"f\": 51, \"x\": 9}", "seed": "13422656058251176307", "semantic_fingerprint": "sha256:f07ff1320cbd412f9361b0a12b78bfe7fdd2d93911a81ecad3081933b586ef1d", "generator_version": "3.0"}
{"id": "v3_test_id_00002232", "prompt": "Evaluate: 4 / 665", "solution_steps": ["Divide: 4 / 665 = 4/665"], "final_answer": "4/665", "answer_type": "rational", "kind": "expression", "math_text": "4 / 665", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 665}", "seed": "8893609004287146453", "semantic_fingerprint": "sha256:8e15579ea2e94158b94d50dd87e43d05d649e60a2ea55053edc42f013a5fb01d", "generator_version": "3.0"}
{"id": "v3_test_id_00002233", "prompt": "What is (-907 - (71 - (-5))) * (23 * 0)?", "solution_steps": ["Subtract: 71 - (-5) = 76", "Subtract: -907 - 76 = -983", "Multiply: 23 * 0 = 0", "Multiply: -983 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-907 - (71 - (-5))) * (23 * 0)", "variable": null, "family": "expression_4op", "shape": "(* (- n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -907, \"b\": 71, \"c\": -5, \"d\": 23, \"e\": 0}", "seed": "13869535491070009941", "semantic_fingerprint": "sha256:e3221d0afdb0de3fe0ab9dbf109412f30a39941bc7327a1db4a863f6591865fe", "generator_version": "3.0"}
{"id": "v3_test_id_00002234", "prompt": "What value of x satisfies -9(x + 651) - 88 = 8(x + 435) - 1?", "solution_steps": ["Expand: -9x - 5859 - 88 = 8(x + 435) - 1", "Expand: -9x - 5859 - 88 = 8x + 3480 - 1", "Combine constants: -9x - 5947 = 8x + 3480 - 1", "Combine constants: -9x - 5947 = 8x + 3479", "Subtract 8x from both sides: -17x - 5947 = 3479", "Add 5947 to both sides: -17x = 9426", "Divide both sides by -17: x = -9426/17"], "final_answer": "-9426/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 651) - 88 = 8(x + 435) - 1", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 651, \"c\": 88, \"d\": 8, \"e\": 435, \"f\": 1}", "seed": "6607814206514822478", "semantic_fingerprint": "sha256:cab629b1d5f8f3ca30edb027a43a3d5854ea7f411396d01eb9793e0ee0c7032e", "generator_version": "3.0"}
{"id": "v3_test_id_00002235", "prompt": "What is (-7 + 3) / (-785) * (-761)?", "solution_steps": ["Add: -7 + 3 = -4", "Divide: -4 / (-785) = 4/785", "Multiply: (4/785) * (-761) = -3044/785"], "final_answer": "-3044/785", "answer_type": "rational", "kind": "expression", "math_text": "(-7 + 3) / (-785) * (-761)", "variable": null, "family": "expression_3op", "shape": "(* (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 3, \"c\": -785, \"d\": -761}", "seed": "5896096809805009222", "semantic_fingerprint": "sha256:ec640ec8a523b6cc0bb15c2688d87f7da8b86b7b3c2785d9a87fca201d755fce", "generator_version": "3.0"}
{"id": "v3_test_id_00002236", "prompt": "Calculate: -2 / (12 + (-93))", "solution_steps": ["Add: 12 + (-93) = -81", "Divide: -2 / (-81) = 2/81"], "final_answer": "2/81", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (12 + (-93))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 12, \"c\": -93}", "seed": "7705858653694366123", "semantic_fingerprint": "sha256:0a49134ea6baad0a821ce4873dbaf05cd36c646eaff152a7f39e84945f009115", "generator_version": "3.0"}
{"id": "v3_test_id_00002237", "prompt": "Compute: 0 - (835 + 1) - (-2) / 56", "solution_steps": ["Add: 835 + 1 = 836", "Subtract: 0 - 836 = -836", "Divide: -2 / 56 = -1/28", "Subtract: -836 - (-1/28) = -23407/28"], "final_answer": "-23407/28", "answer_type": "rational", "kind": "expression", "math_text": "0 - (835 + 1) - (-2) / 56", "variable": null, "family": "expression_4op", "shape": "(- (- n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 835, \"c\": 1, \"d\": -2, \"e\": 56}", "seed": "10390003643384285470", "semantic_fingerprint": "sha256:dbf4bba9d2058646ab60a7b79671f0571287410140d6b2d9661b8698e584b842", "generator_version": "3.0"}
{"id": "v3_test_id_00002238", "prompt": "Calculate: 10 + 61 * (-48)", "solution_steps": ["Multiply: 61 * (-48) = -2928", "Add: 10 + (-2928) = -2918"], "final_answer": "-2918", "answer_type": "integer", "kind": "expression", "math_text": "10 + 61 * (-48)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 61, \"c\": -48}", "seed": "4531720594598322741", "semantic_fingerprint": "sha256:84a2d0e6df8f2fdbe628d4cad19366ce0f458636032dafb2c1fe296d59df40be", "generator_version": "3.0"}
{"id": "v3_test_id_00002239", "prompt": "Solve the equation 2x - 6 = 3(x + 333) - 8 for x.", "solution_steps": ["Expand: 2x - 6 = 3x + 999 - 8", "Combine constants: 2x - 6 = 3x + 991", "Subtract 3x from both sides: -x - 6 = 991", "Add 6 to both sides: -x = 997", "Divide both sides by -1: x = -997"], "final_answer": "-997", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 6 = 3(x + 333) - 8", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": 3, \"d\": 333, \"e\": 8}", "seed": "4973527825051188384", "semantic_fingerprint": "sha256:26315bb009432c3ec8b80df334846596ff95b84287b2f98f5709eac9253536d4", "generator_version": "3.0"}
{"id": "v3_test_id_00002240", "prompt": "Evaluate: -129 + (-93) * 91", "solution_steps": ["Multiply: -93 * 91 = -8463", "Add: -129 + (-8463) = -8592"], "final_answer": "-8592", "answer_type": "integer", "kind": "expression", "math_text": "-129 + (-93) * 91", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -129, \"b\": -93, \"c\": 91}", "seed": "1489070249389699537", "semantic_fingerprint": "sha256:963d7d2bf9a46053764a57e3a7ddb2333889c1553ff744129d4bbe634b41f739", "generator_version": "3.0"}
{"id": "v3_test_id_00002241", "prompt": "Compute: -12 - 827 / 518", "solution_steps": ["Divide: 827 / 518 = 827/518", "Subtract: -12 - 827/518 = -7043/518"], "final_answer": "-7043/518", "answer_type": "rational", "kind": "expression", "math_text": "-12 - 827 / 518", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 827, \"c\": 518}", "seed": "11771419481836429734", "semantic_fingerprint": "sha256:d223140be9fd6a8fa819f4c690390d456d45ca010f3299b15ca54e1066f38463", "generator_version": "3.0"}
{"id": "v3_test_id_00002242", "prompt": "Compute: (-73 - 283 + (-82)) / 13", "solution_steps": ["Subtract: -73 - 283 = -356", "Add: -356 + (-82) = -438", "Divide: -438 / 13 = -438/13"], "final_answer": "-438/13", "answer_type": "rational", "kind": "expression", "math_text": "(-73 - 283 + (-82)) / 13", "variable": null, "family": "expression_3op", "shape": "(/ (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": 283, \"c\": -82, \"d\": 13}", "seed": "12359224054332686733", "semantic_fingerprint": "sha256:c65d3a7f9558f5856251d691520c91239fbd7efd09525b10e465595950776a1c", "generator_version": "3.0"}
{"id": "v3_test_id_00002243", "prompt": "Solve the equation -8(x - 84) - 93 = 3(x + 77) + 425 for x.", "solution_steps": ["Expand: -8x + 672 - 93 = 3(x + 77) + 425", "Expand: -8x + 672 - 93 = 3x + 231 + 425", "Combine constants: -8x + 579 = 3x + 231 + 425", "Combine constants: -8x + 579 = 3x + 656", "Subtract 3x from both sides: -11x + 579 = 656", "Subtract 579 from both sides: -11x = 77", "Divide both sides by -11: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 84) - 93 = 3(x + 77) + 425", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 84, \"c\": 93, \"d\": 3, \"e\": 77, \"g\": 425, \"x\": -7}", "seed": "4060878317239151966", "semantic_fingerprint": "sha256:e9fd6c94baedace17ea6a1aba9d3e334e22ee51b751867cab7544c9b6ba1d8dc", "generator_version": "3.0"}
{"id": "v3_test_id_00002244", "prompt": "Calculate: -67 - (-5)", "solution_steps": ["Subtract: -67 - (-5) = -62"], "final_answer": "-62", "answer_type": "integer", "kind": "expression", "math_text": "-67 - (-5)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": -5}", "seed": "8538956874056396548", "semantic_fingerprint": "sha256:952a97d6907e67279296994fe8d7bcec1c42d8a85f1b238f8a7a104591cf68ef", "generator_version": "3.0"}
{"id": "v3_test_id_00002245", "prompt": "Compute: 87 / (-45 * (0 / (-49) - 1))", "solution_steps": ["Divide: 0 / (-49) = 0", "Subtract: 0 - 1 = -1", "Multiply: -45 * (-1) = 45", "Divide: 87 / 45 = 29/15"], "final_answer": "29/15", "answer_type": "rational", "kind": "expression", "math_text": "87 / (-45 * (0 / (-49) - 1))", "variable": null, "family": "expression_4op", "shape": "(/ n (* n (- (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 87, \"b\": -45, \"c\": 0, \"d\": -49, \"e\": 1}", "seed": "17082980689906534169", "semantic_fingerprint": "sha256:2d8a0a2c744d10a4d1b538c38bf5da0ccb97fa89b8fb9c509b56458e6430329f", "generator_version": "3.0"}
{"id": "v3_test_id_00002246", "prompt": "Solve for x: 8(x + 18) = 4(x - 8) - 6", "solution_steps": ["Expand: 8x + 144 = 4(x - 8) - 6", "Expand: 8x + 144 = 4x - 32 - 6", "Combine constants: 8x + 144 = 4x - 38", "Subtract 4x from both sides: 4x + 144 = -38", "Subtract 144 from both sides: 4x = -182", "Divide both sides by 4: x = -91/2"], "final_answer": "-91/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 18) = 4(x - 8) - 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 18, \"c\": 4, \"d\": 8, \"e\": 6}", "seed": "14732790200754562475", "semantic_fingerprint": "sha256:8dbe5c1c52fe32e1adf5f86003f8269ef55c29c6d64f44785ba08da31a815be5", "generator_version": "3.0"}
{"id": "v3_test_id_00002247", "prompt": "Find x: 8(x + 3) = x + 80", "solution_steps": ["Expand: 8x + 24 = x + 80", "Subtract x from both sides: 7x + 24 = 80", "Subtract 24 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 + 3) = x + 80", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"d\": 80, \"x\": 8}", "seed": "5119778704489621630", "semantic_fingerprint": "sha256:795739392d479b0d91298e03af57faba5b943d5c586862bdd2bf4bc74ccf8f25", "generator_version": "3.0"}
{"id": "v3_test_id_00002248", "prompt": "Find x: x - 7 = 8(x + 25) - 81", "solution_steps": ["Expand: x - 7 = 8x + 200 - 81", "Combine constants: x - 7 = 8x + 119", "Subtract 8x from both sides: -7x - 7 = 119", "Add 7 to both sides: -7x = 126", "Divide both sides by -7: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7 = 8(x + 25) - 81", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": 25, \"e\": -81, \"x\": -18}", "seed": "5106228474018011411", "semantic_fingerprint": "sha256:26ddb9a09e2e24e28713e9f996e082213faa5d64fd192960650db5b4d020066f", "generator_version": "3.0"}
{"id": "v3_test_id_00002249", "prompt": "What is -12 + (-62) - 2?", "solution_steps": ["Add: -12 + (-62) = -74", "Subtract: -74 - 2 = -76"], "final_answer": "-76", "answer_type": "integer", "kind": "expression", "math_text": "-12 + (-62) - 2", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": -62, \"c\": 2}", "seed": "1312962401738870764", "semantic_fingerprint": "sha256:ea979fa9702bbad0c9055a82651b8c0e84dc5b6e1b860ea4a953a5852a0431a8", "generator_version": "3.0"}
{"id": "v3_test_id_00002250", "prompt": "Evaluate: -736 * 410", "solution_steps": ["Multiply: -736 * 410 = -301760"], "final_answer": "-301760", "answer_type": "integer", "kind": "expression", "math_text": "-736 * 410", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -736, \"b\": 410}", "seed": "11332645955378471463", "semantic_fingerprint": "sha256:83b2a373337d824403a0538af02fd6ef0ae4a70ceaf652d6b5775164821ac735", "generator_version": "3.0"}
{"id": "v3_test_id_00002251", "prompt": "Calculate: 316 * (-422) / (-6 - 1)", "solution_steps": ["Multiply: 316 * (-422) = -133352", "Subtract: -6 - 1 = -7", "Divide: -133352 / (-7) = 133352/7"], "final_answer": "133352/7", "answer_type": "rational", "kind": "expression", "math_text": "316 * (-422) / (-6 - 1)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 316, \"b\": -422, \"c\": -6, \"d\": 1}", "seed": "13212123712879224179", "semantic_fingerprint": "sha256:4866cd96cb24a32d118c0cd2ce2b67bb6f93c29d10775042b176a939e42f0d91", "generator_version": "3.0"}
{"id": "v3_test_id_00002252", "prompt": "Calculate: (1 + 96) * (-54) * (-6)", "solution_steps": ["Add: 1 + 96 = 97", "Multiply: 97 * (-54) = -5238", "Multiply: -5238 * (-6) = 31428"], "final_answer": "31428", "answer_type": "integer", "kind": "expression", "math_text": "(1 + 96) * (-54) * (-6)", "variable": null, "family": "expression_3op", "shape": "(* (* (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 96, \"c\": -54, \"d\": -6}", "seed": "17248195445851236982", "semantic_fingerprint": "sha256:485b3b632634b14f998cb515b8e3f8a1ba6ae352fcef40faf50472a60496a4e5", "generator_version": "3.0"}
{"id": "v3_test_id_00002253", "prompt": "Find x: -5(x - 61) = 3(x - 77) - 76", "solution_steps": ["Expand: -5x + 305 = 3(x - 77) - 76", "Expand: -5x + 305 = 3x - 231 - 76", "Combine constants: -5x + 305 = 3x - 307", "Subtract 3x from both sides: -8x + 305 = -307", "Subtract 305 from both sides: -8x = -612", "Divide both sides by -8: x = 153/2"], "final_answer": "153/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 61) = 3(x - 77) - 76", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 61, \"c\": 3, \"d\": 77, \"e\": 76}", "seed": "8263993303196421815", "semantic_fingerprint": "sha256:b5d6d54f921037f07dd4e3f57fb61425eb18085bf2dab9dbc98458dd592353e3", "generator_version": "3.0"}
{"id": "v3_test_id_00002254", "prompt": "Evaluate: 77 * (-6 - 0)", "solution_steps": ["Subtract: -6 - 0 = -6", "Multiply: 77 * (-6) = -462"], "final_answer": "-462", "answer_type": "integer", "kind": "expression", "math_text": "77 * (-6 - 0)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": -6, \"c\": 0}", "seed": "8419269334434726146", "semantic_fingerprint": "sha256:e336e284842e326cab3ae95e9f10827588375ce4baea382f56376876733228d7", "generator_version": "3.0"}
{"id": "v3_test_id_00002255", "prompt": "What is 66 + 399?", "solution_steps": ["Add: 66 + 399 = 465"], "final_answer": "465", "answer_type": "integer", "kind": "expression", "math_text": "66 + 399", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": 399}", "seed": "15195340573173571595", "semantic_fingerprint": "sha256:fcda7b2e21014bbb04fe544d8e8e6e0e4836e325746c43721b5b7c383281e739", "generator_version": "3.0"}
{"id": "v3_test_id_00002256", "prompt": "Solve the equation 4(x + 81) + 4 = 3x + 315 for x.", "solution_steps": ["Expand: 4x + 324 + 4 = 3x + 315", "Combine constants: 4x + 328 = 3x + 315", "Subtract 3x from both sides: x + 328 = 315", "Subtract 328 from both sides: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 81) + 4 = 3x + 315", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 81, \"c\": 4, \"d\": 3, \"f\": 315, \"x\": -13}", "seed": "17514613661659243747", "semantic_fingerprint": "sha256:e0f8067d1337fea0945c070b65ec61819ef407bd59cbf401f3a7a56995ae2a18", "generator_version": "3.0"}
{"id": "v3_test_id_00002257", "prompt": "What value of x satisfies 7(x + 929) + 2 = 11(x + 16)?", "solution_steps": ["Expand: 7x + 6503 + 2 = 11(x + 16)", "Expand: 7x + 6503 + 2 = 11x + 176", "Combine constants: 7x + 6505 = 11x + 176", "Subtract 11x from both sides: -4x + 6505 = 176", "Subtract 6505 from both sides: -4x = -6329", "Divide both sides by -4: x = 6329/4"], "final_answer": "6329/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 929) + 2 = 11(x + 16)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 929, \"c\": 2, \"d\": 11, \"e\": 16}", "seed": "3714779088912009752", "semantic_fingerprint": "sha256:32dc0dbf8f86cd94fb3fc58e82aa01fd8a18c198add2f3fc7df35294d7165bd4", "generator_version": "3.0"}
{"id": "v3_test_id_00002258", "prompt": "What is -732 * (971 / 134) + (-8) + 170?", "solution_steps": ["Divide: 971 / 134 = 971/134", "Multiply: -732 * (971/134) = -355386/67", "Add: -355386/67 + (-8) = -355922/67", "Add: -355922/67 + 170 = -344532/67"], "final_answer": "-344532/67", "answer_type": "rational", "kind": "expression", "math_text": "-732 * (971 / 134) + (-8) + 170", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -732, \"b\": 971, \"c\": 134, \"d\": -8, \"e\": 170}", "seed": "7024867358587203162", "semantic_fingerprint": "sha256:fd0892f910fb745db582a229f80274a759d246f6bee8ded43fc34351d54d3b7d", "generator_version": "3.0"}
{"id": "v3_test_id_00002259", "prompt": "Evaluate: (861 + 864) * (-46)", "solution_steps": ["Add: 861 + 864 = 1725", "Multiply: 1725 * (-46) = -79350"], "final_answer": "-79350", "answer_type": "integer", "kind": "expression", "math_text": "(861 + 864) * (-46)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 861, \"b\": 864, \"c\": -46}", "seed": "17826399206474853471", "semantic_fingerprint": "sha256:7a12f3e7e7bb6d003061f354dea38fd66580013357a5ed325e103c458a4e5e71", "generator_version": "3.0"}
{"id": "v3_test_id_00002260", "prompt": "What is 30 * 485 - 77 * (-7)?", "solution_steps": ["Multiply: 30 * 485 = 14550", "Multiply: 77 * (-7) = -539", "Subtract: 14550 - (-539) = 15089"], "final_answer": "15089", "answer_type": "integer", "kind": "expression", "math_text": "30 * 485 - 77 * (-7)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": 485, \"c\": 77, \"d\": -7}", "seed": "11465102137828825352", "semantic_fingerprint": "sha256:1def200e64b60caa9d5b69ef399cbba1dfd880048b5d1b03c58f1530ae68bca5", "generator_version": "3.0"}
{"id": "v3_test_id_00002261", "prompt": "Solve the equation 2(x - 97) = 3x for x.", "solution_steps": ["Expand: 2x - 194 = 3x", "Subtract 3x from both sides: -x - 194 = 0", "Add 194 to both sides: -x = 194", "Divide both sides by -1: x = -194"], "final_answer": "-194", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 97) = 3x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 97, \"c\": 3}", "seed": "9529650100044379807", "semantic_fingerprint": "sha256:4744cbe559ccf136e6da3a60298ff31db9f75500019d62749cd4cbc80c41c223", "generator_version": "3.0"}
{"id": "v3_test_id_00002262", "prompt": "Solve the equation 11(x - 69) + 29 = -6x - 849 for x.", "solution_steps": ["Expand: 11x - 759 + 29 = -6x - 849", "Combine constants: 11x - 730 = -6x - 849", "Add 6x to both sides: 17x - 730 = -849", "Add 730 to both sides: 17x = -119", "Divide both sides by 17: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 69) + 29 = -6x - 849", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 69, \"c\": 29, \"d\": -6, \"f\": -849, \"x\": -7}", "seed": "5890204536828587880", "semantic_fingerprint": "sha256:f448ed74113c9afaaf37cfb8e0860f2f31c1759b73c358abb9a6649e5aa4a0c3", "generator_version": "3.0"}
{"id": "v3_test_id_00002263", "prompt": "Evaluate: (6 + (-263)) / 479", "solution_steps": ["Add: 6 + (-263) = -257", "Divide: -257 / 479 = -257/479"], "final_answer": "-257/479", "answer_type": "rational", "kind": "expression", "math_text": "(6 + (-263)) / 479", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -263, \"c\": 479}", "seed": "75416805133988818", "semantic_fingerprint": "sha256:97ad19c554167aef6d6f8fab54ff8c10c1a60f011e33d9a9cf1b1a0657ab5b98", "generator_version": "3.0"}
{"id": "v3_test_id_00002264", "prompt": "Compute: -3 + (-30) - 5", "solution_steps": ["Add: -3 + (-30) = -33", "Subtract: -33 - 5 = -38"], "final_answer": "-38", "answer_type": "integer", "kind": "expression", "math_text": "-3 + (-30) - 5", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -30, \"c\": 5}", "seed": "3239959119598049947", "semantic_fingerprint": "sha256:425d648dae24e19b5fcf06cb5dfd8773952ed61c53c5e6e79998c583042ace68", "generator_version": "3.0"}
{"id": "v3_test_id_00002265", "prompt": "Solve for x: 8(x + 557) = 7(x + 537) + 681", "solution_steps": ["Expand: 8x + 4456 = 7(x + 537) + 681", "Expand: 8x + 4456 = 7x + 3759 + 681", "Combine constants: 8x + 4456 = 7x + 4440", "Subtract 7x from both sides: x + 4456 = 4440", "Subtract 4456 from both sides: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 557) = 7(x + 537) + 681", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 557, \"c\": 7, \"d\": 537, \"f\": 681, \"x\": -16}", "seed": "14905091533472022204", "semantic_fingerprint": "sha256:735bfbeb36cc0ea2c230626d31470b30c86ca5ee08ff0c7fb0a078cf6cc92127", "generator_version": "3.0"}
{"id": "v3_test_id_00002266", "prompt": "What value of x satisfies -6(x - 18) = x + 157?", "solution_steps": ["Expand: -6x + 108 = x + 157", "Subtract x from both sides: -7x + 108 = 157", "Subtract 108 from both sides: -7x = 49", "Divide both sides by -7: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 18) = x + 157", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 18, \"d\": 157, \"x\": -7}", "seed": "7868909631447844051", "semantic_fingerprint": "sha256:b492c2bd67091f85f25d997d1a5aa87cb9071d05bdf4d3f3a05847e10121512b", "generator_version": "3.0"}
{"id": "v3_test_id_00002267", "prompt": "Solve for x: 2x = 8(x - 80) + 676", "solution_steps": ["Expand: 2x = 8x - 640 + 676", "Combine constants: 2x = 8x + 36", "Subtract 8x from both sides: -6x = 36", "Divide both sides by -6: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = 8(x - 80) + 676", "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\": 676, \"x\": -6}", "seed": "6499972532902831592", "semantic_fingerprint": "sha256:9369b56f781cc55e016fcb452b14c5ebdb5c11cb830d085acbeaf2366333a23d", "generator_version": "3.0"}
{"id": "v3_test_id_00002268", "prompt": "What is 25 / 6 - (-124) / (-28)?", "solution_steps": ["Divide: 25 / 6 = 25/6", "Divide: -124 / (-28) = 31/7", "Subtract: 25/6 - 31/7 = -11/42"], "final_answer": "-11/42", "answer_type": "rational", "kind": "expression", "math_text": "25 / 6 - (-124) / (-28)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": 6, \"c\": -124, \"d\": -28}", "seed": "3511683391039908467", "semantic_fingerprint": "sha256:a6392d45ab059d9b51a62bbe9f9a02d145da5bed3383acacf2dbb184744403a1", "generator_version": "3.0"}
{"id": "v3_test_id_00002269", "prompt": "What value of x satisfies x + 86 = 4(x + 96)?", "solution_steps": ["Expand: x + 86 = 4x + 384", "Subtract 4x from both sides: -3x + 86 = 384", "Subtract 86 from both sides: -3x = 298", "Divide both sides by -3: x = -298/3"], "final_answer": "-298/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 86 = 4(x + 96)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 4, \"c\": 96}", "seed": "5671188678393729363", "semantic_fingerprint": "sha256:860d34d823076724096fa4324d309720c7290e8c4f0a70a837524342d098d271", "generator_version": "3.0"}
{"id": "v3_test_id_00002270", "prompt": "What value of x satisfies 9x - 276 = 67?", "solution_steps": ["Add 276 to both sides: 9x = 343", "Divide both sides by 9: x = 343/9"], "final_answer": "343/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x - 276 = 67", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 276, \"c\": 67}", "seed": "6382929567257871383", "semantic_fingerprint": "sha256:72321be1c62dc76fe4fad2dd69fa46e681486884624f03086977894fc4b0b87e", "generator_version": "3.0"}
{"id": "v3_test_id_00002271", "prompt": "Calculate: 784 / (6 - (-2)) / (2 * 364)", "solution_steps": ["Subtract: 6 - (-2) = 8", "Divide: 784 / 8 = 98", "Multiply: 2 * 364 = 728", "Divide: 98 / 728 = 7/52"], "final_answer": "7/52", "answer_type": "rational", "kind": "expression", "math_text": "784 / (6 - (-2)) / (2 * 364)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 784, \"b\": 6, \"c\": -2, \"d\": 2, \"e\": 364}", "seed": "8657752943375123562", "semantic_fingerprint": "sha256:4819c9bb974bc9db72eef2139893fe0a9ce562d73cfa8ce8e72de3d551726550", "generator_version": "3.0"}
{"id": "v3_test_id_00002272", "prompt": "Compute: -79 * (-7 / (4 - 6))", "solution_steps": ["Subtract: 4 - 6 = -2", "Divide: -7 / (-2) = 7/2", "Multiply: -79 * (7/2) = -553/2"], "final_answer": "-553/2", "answer_type": "rational", "kind": "expression", "math_text": "-79 * (-7 / (4 - 6))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": -7, \"c\": 4, \"d\": 6}", "seed": "3970182813818188343", "semantic_fingerprint": "sha256:c862e993451be9524caae044208a0082b1a1f6a84a88cb75f14e292c7f986d27", "generator_version": "3.0"}
{"id": "v3_test_id_00002273", "prompt": "Evaluate: 299 / 728", "solution_steps": ["Divide: 299 / 728 = 23/56"], "final_answer": "23/56", "answer_type": "rational", "kind": "expression", "math_text": "299 / 728", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 299, \"b\": 728}", "seed": "15251405607396307530", "semantic_fingerprint": "sha256:772ca3fbfc63c77aa400f7568f667947270fc6bf7f3146e3fca854fca8f636b3", "generator_version": "3.0"}
{"id": "v3_test_id_00002274", "prompt": "Calculate: -59 * (-8) - 96 * (755 - (-30))", "solution_steps": ["Multiply: -59 * (-8) = 472", "Subtract: 755 - (-30) = 785", "Multiply: 96 * 785 = 75360", "Subtract: 472 - 75360 = -74888"], "final_answer": "-74888", "answer_type": "integer", "kind": "expression", "math_text": "-59 * (-8) - 96 * (755 - (-30))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": -8, \"c\": 96, \"d\": 755, \"e\": -30}", "seed": "11674300048812294503", "semantic_fingerprint": "sha256:6d4ba8179cba8fa1e57f759dfd8ace52653db421fb2afc33fac976e1f6a35717", "generator_version": "3.0"}
{"id": "v3_test_id_00002275", "prompt": "Compute: 38 * (-1 + (-954 + (-946)))", "solution_steps": ["Add: -954 + (-946) = -1900", "Add: -1 + (-1900) = -1901", "Multiply: 38 * (-1901) = -72238"], "final_answer": "-72238", "answer_type": "integer", "kind": "expression", "math_text": "38 * (-1 + (-954 + (-946)))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": -1, \"c\": -954, \"d\": -946}", "seed": "6715560003687433087", "semantic_fingerprint": "sha256:0c6b676108bccd5588f2b8f79d8092e2c72d0614a49e5012b8ff360c25a3d443", "generator_version": "3.0"}
{"id": "v3_test_id_00002276", "prompt": "Evaluate: -152 * 5", "solution_steps": ["Multiply: -152 * 5 = -760"], "final_answer": "-760", "answer_type": "integer", "kind": "expression", "math_text": "-152 * 5", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -152, \"b\": 5}", "seed": "3321898012919077241", "semantic_fingerprint": "sha256:65b430499e98833e90aa5fb0c442c720aa0e16ca67c34423ee9c37c512cf340d", "generator_version": "3.0"}
{"id": "v3_test_id_00002277", "prompt": "Find x: 3x = -2(x - 54)", "solution_steps": ["Expand: 3x = -2x + 108", "Add 2x to both sides: 5x = 108", "Divide both sides by 5: x = 108/5"], "final_answer": "108/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x = -2(x - 54)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -2, \"c\": 54}", "seed": "13436669411991980750", "semantic_fingerprint": "sha256:46cc015d8e350bdc26b1f227f4d817ae23b8c6b0ca4ff8aa71d5aff2e139f8b1", "generator_version": "3.0"}
{"id": "v3_test_id_00002278", "prompt": "Calculate: -3 + (64 * (-4 - (-803)) + 12) + 534", "solution_steps": ["Subtract: -4 - (-803) = 799", "Multiply: 64 * 799 = 51136", "Add: 51136 + 12 = 51148", "Add: -3 + 51148 = 51145", "Add: 51145 + 534 = 51679"], "final_answer": "51679", "answer_type": "integer", "kind": "expression", "math_text": "-3 + (64 * (-4 - (-803)) + 12) + 534", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (+ (* n (- n n)) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 64, \"c\": -4, \"d\": -803, \"e\": 12, \"f\": 534}", "seed": "6358734315218850890", "semantic_fingerprint": "sha256:37e51d2cfd489186cab72383e4b69fdd1998a0b49ebe57cfa3daacfc7a10584e", "generator_version": "3.0"}
{"id": "v3_test_id_00002279", "prompt": "Calculate: 325 + (-98) / 9", "solution_steps": ["Divide: -98 / 9 = -98/9", "Add: 325 + (-98/9) = 2827/9"], "final_answer": "2827/9", "answer_type": "rational", "kind": "expression", "math_text": "325 + (-98) / 9", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 325, \"b\": -98, \"c\": 9}", "seed": "7906081873672546385", "semantic_fingerprint": "sha256:237356b7b0f0ce9e0138d14191b4030aefcfb884032fbdbf6b987f258e0045bb", "generator_version": "3.0"}
{"id": "v3_test_id_00002280", "prompt": "Evaluate: -75 * 4 / (-7)", "solution_steps": ["Multiply: -75 * 4 = -300", "Divide: -300 / (-7) = 300/7"], "final_answer": "300/7", "answer_type": "rational", "kind": "expression", "math_text": "-75 * 4 / (-7)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": 4, \"c\": -7}", "seed": "17145974335414007582", "semantic_fingerprint": "sha256:c29a073ea61efde4dbdf26b0f67c308baf072deb7ac9ee1052bb6d20dd9e6cb5", "generator_version": "3.0"}
{"id": "v3_test_id_00002281", "prompt": "Evaluate: -2 * (-419 - (-36)) - (-133) + (-5)", "solution_steps": ["Subtract: -419 - (-36) = -383", "Multiply: -2 * (-383) = 766", "Subtract: 766 - (-133) = 899", "Add: 899 + (-5) = 894"], "final_answer": "894", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (-419 - (-36)) - (-133) + (-5)", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -419, \"c\": -36, \"d\": -133, \"e\": -5}", "seed": "3919576830314223492", "semantic_fingerprint": "sha256:2ee552977018983e45736a1724cac1c147899efb204779b454ddf4c4326c97d3", "generator_version": "3.0"}
{"id": "v3_test_id_00002282", "prompt": "Compute: 49 - (0 - 16 * 67)", "solution_steps": ["Multiply: 16 * 67 = 1072", "Subtract: 0 - 1072 = -1072", "Subtract: 49 - (-1072) = 1121"], "final_answer": "1121", "answer_type": "integer", "kind": "expression", "math_text": "49 - (0 - 16 * 67)", "variable": null, "family": "expression_3op", "shape": "(- n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": 0, \"c\": 16, \"d\": 67}", "seed": "4415690401192498588", "semantic_fingerprint": "sha256:51b90cacfc0308fcbb88cd4cc6f561c4facb8c2203db403602a1c0ff6433aa89", "generator_version": "3.0"}
{"id": "v3_test_id_00002283", "prompt": "Solve the equation 11x + 84 = -3(x - 12) - 5 for x.", "solution_steps": ["Expand: 11x + 84 = -3x + 36 - 5", "Combine constants: 11x + 84 = -3x + 31", "Add 3x to both sides: 14x + 84 = 31", "Subtract 84 from both sides: 14x = -53", "Divide both sides by 14: x = -53/14"], "final_answer": "-53/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x + 84 = -3(x - 12) - 5", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 84, \"c\": -3, \"d\": 12, \"e\": 5}", "seed": "7660382370558708651", "semantic_fingerprint": "sha256:2f0aff356a8f5d1a1617056ce3ebd6daf6b36642f8c1a6ede8afa3f4a703a203", "generator_version": "3.0"}
{"id": "v3_test_id_00002284", "prompt": "What is -3 - (-27 - (-5))?", "solution_steps": ["Subtract: -27 - (-5) = -22", "Subtract: -3 - (-22) = 19"], "final_answer": "19", "answer_type": "integer", "kind": "expression", "math_text": "-3 - (-27 - (-5))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -27, \"c\": -5}", "seed": "6843444814744801458", "semantic_fingerprint": "sha256:f47689cea36cf59d2deb69e87a9b4ec9b225d7212466b4ebaf2750df3b5d46dd", "generator_version": "3.0"}
{"id": "v3_test_id_00002285", "prompt": "Find x: -9x + 54 = 9(x + 34) + 273", "solution_steps": ["Expand: -9x + 54 = 9x + 306 + 273", "Combine constants: -9x + 54 = 9x + 579", "Subtract 9x from both sides: -18x + 54 = 579", "Subtract 54 from both sides: -18x = 525", "Divide both sides by -18: x = -175/6"], "final_answer": "-175/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9x + 54 = 9(x + 34) + 273", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 54, \"c\": 9, \"d\": 34, \"e\": 273}", "seed": "18004018260570212089", "semantic_fingerprint": "sha256:ef1f3f0d497c0728eb9fcf8de0145c3abf50c7495a2b821246f2af25aa458169", "generator_version": "3.0"}
{"id": "v3_test_id_00002286", "prompt": "Calculate: 0 + 39", "solution_steps": ["Add: 0 + 39 = 39"], "final_answer": "39", "answer_type": "integer", "kind": "expression", "math_text": "0 + 39", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 39}", "seed": "15012381173222923840", "semantic_fingerprint": "sha256:707e7edc61ecd98071b82bd6e895bf51ca3ecea240afd813741181976cddf55e", "generator_version": "3.0"}
{"id": "v3_test_id_00002287", "prompt": "What is 28 / 9?", "solution_steps": ["Divide: 28 / 9 = 28/9"], "final_answer": "28/9", "answer_type": "rational", "kind": "expression", "math_text": "28 / 9", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": 9}", "seed": "4710891284952988370", "semantic_fingerprint": "sha256:d37779c0955fe02b1d9b28a94953403567729ff49bafe26c98280591e94b1056", "generator_version": "3.0"}
{"id": "v3_test_id_00002288", "prompt": "What value of x satisfies 7(x + 84) = 6(x + 4)?", "solution_steps": ["Expand: 7x + 588 = 6(x + 4)", "Expand: 7x + 588 = 6x + 24", "Subtract 6x from both sides: x + 588 = 24", "Subtract 588 from both sides: x = -564"], "final_answer": "-564", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 84) = 6(x + 4)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 84, \"c\": 6, \"d\": 4}", "seed": "17271902833012459225", "semantic_fingerprint": "sha256:0eee0939ffca76007836df9a27cd7a61674ca182bc65502c3aa063d2e6de1a0d", "generator_version": "3.0"}
{"id": "v3_test_id_00002289", "prompt": "Evaluate: -900 / ((1 + 791) / (-81 / 5))", "solution_steps": ["Add: 1 + 791 = 792", "Divide: -81 / 5 = -81/5", "Divide: 792 / (-81/5) = -440/9", "Divide: -900 / (-440/9) = 405/22"], "final_answer": "405/22", "answer_type": "rational", "kind": "expression", "math_text": "-900 / ((1 + 791) / (-81 / 5))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (+ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -900, \"b\": 1, \"c\": 791, \"d\": -81, \"e\": 5}", "seed": "11064009829922604711", "semantic_fingerprint": "sha256:3c05a30cc0f0fd750629539044dd6fcd5a0dc63166009c60ba0ecee24aec5f56", "generator_version": "3.0"}
{"id": "v3_test_id_00002290", "prompt": "Calculate: 49 * (-52)", "solution_steps": ["Multiply: 49 * (-52) = -2548"], "final_answer": "-2548", "answer_type": "integer", "kind": "expression", "math_text": "49 * (-52)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": -52}", "seed": "15219949502076050701", "semantic_fingerprint": "sha256:3fec53c052bdc8d54ae92049d239fa92e53df11fc7610406f19a44ea09f5cf7a", "generator_version": "3.0"}
{"id": "v3_test_id_00002291", "prompt": "Evaluate: -457 + (427 - 81 / 96) * 21", "solution_steps": ["Divide: 81 / 96 = 27/32", "Subtract: 427 - 27/32 = 13637/32", "Multiply: (13637/32) * 21 = 286377/32", "Add: -457 + 286377/32 = 271753/32"], "final_answer": "271753/32", "answer_type": "rational", "kind": "expression", "math_text": "-457 + (427 - 81 / 96) * 21", "variable": null, "family": "expression_4op", "shape": "(+ n (* (- n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -457, \"b\": 427, \"c\": 81, \"d\": 96, \"e\": 21}", "seed": "1044586559761222927", "semantic_fingerprint": "sha256:0cff4ba14dfa1de55ee04a7a68f89b9b9d626148303034793805ca79e537d7ac", "generator_version": "3.0"}
{"id": "v3_test_id_00002292", "prompt": "Calculate: (67 + 65 - 60) / (3 * (-7)) * 86", "solution_steps": ["Add: 67 + 65 = 132", "Subtract: 132 - 60 = 72", "Multiply: 3 * (-7) = -21", "Divide: 72 / (-21) = -24/7", "Multiply: (-24/7) * 86 = -2064/7"], "final_answer": "-2064/7", "answer_type": "rational", "kind": "expression", "math_text": "(67 + 65 - 60) / (3 * (-7)) * 86", "variable": null, "family": "expression_5op", "shape": "(* (/ (- (+ n n) n) (* n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": 65, \"c\": 60, \"d\": 3, \"e\": -7, \"f\": 86}", "seed": "10103487483560564564", "semantic_fingerprint": "sha256:bdc8d0e8648446320214ae71e3993d45db5f1024b53d5bf4814e6c769e78518b", "generator_version": "3.0"}
{"id": "v3_test_id_00002293", "prompt": "Evaluate: -799 / (-13) / (-1) * 15 * (-25 - 38)", "solution_steps": ["Divide: -799 / (-13) = 799/13", "Divide: (799/13) / (-1) = -799/13", "Multiply: (-799/13) * 15 = -11985/13", "Subtract: -25 - 38 = -63", "Multiply: (-11985/13) * (-63) = 755055/13"], "final_answer": "755055/13", "answer_type": "rational", "kind": "expression", "math_text": "-799 / (-13) / (-1) * 15 * (-25 - 38)", "variable": null, "family": "expression_5op", "shape": "(* (* (/ (/ n n) n) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -799, \"b\": -13, \"c\": -1, \"d\": 15, \"e\": -25, \"f\": 38}", "seed": "16445336481027467477", "semantic_fingerprint": "sha256:70ce1ff648f479819908eefc41efa2d1101ee71ca239feea8790840a42e023e8", "generator_version": "3.0"}
{"id": "v3_test_id_00002294", "prompt": "Solve the equation 12(x + 668) = 75 for x.", "solution_steps": ["Expand: 12x + 8016 = 75", "Subtract 8016 from both sides: 12x = -7941", "Divide both sides by 12: x = -2647/4"], "final_answer": "-2647/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 668) = 75", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 668, \"c\": 75}", "seed": "13931828729481490974", "semantic_fingerprint": "sha256:db0cca59b2f1aab50d9e1c20942b425d02fa69842c05f9f6699c40e31f6908c1", "generator_version": "3.0"}
{"id": "v3_test_id_00002295", "prompt": "Calculate: 543 / ((414 + (-28)) / 9 / (4 - (-4)))", "solution_steps": ["Add: 414 + (-28) = 386", "Divide: 386 / 9 = 386/9", "Subtract: 4 - (-4) = 8", "Divide: (386/9) / 8 = 193/36", "Divide: 543 / (193/36) = 19548/193"], "final_answer": "19548/193", "answer_type": "rational", "kind": "expression", "math_text": "543 / ((414 + (-28)) / 9 / (4 - (-4)))", "variable": null, "family": "expression_5op", "shape": "(/ n (/ (/ (+ n n) n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 543, \"b\": 414, \"c\": -28, \"d\": 9, \"e\": 4, \"f\": -4}", "seed": "5225922813184970314", "semantic_fingerprint": "sha256:673b45a114a677b14f6247d062983a063bc1b2fd2caaa3ba0db8eedb3f23da98", "generator_version": "3.0"}
{"id": "v3_test_id_00002296", "prompt": "Solve for x: 8x - 1 = x - 882", "solution_steps": ["Subtract x from both sides: 7x - 1 = -882", "Add 1 to both sides: 7x = -881", "Divide both sides by 7: x = -881/7"], "final_answer": "-881/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x - 1 = x - 882", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1, \"c\": 882}", "seed": "1672223035973618444", "semantic_fingerprint": "sha256:dca0251c6e2ddbfa98b85f86885f79ff250ddedd0e466a61b71076cff8b697a0", "generator_version": "3.0"}
{"id": "v3_test_id_00002297", "prompt": "Solve the equation 9x = 8x - 6 for x.", "solution_steps": ["Subtract 8x from both sides: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 8x - 6", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"d\": -6, \"x\": -6}", "seed": "4756592883420910138", "semantic_fingerprint": "sha256:872500fd10ea0fc8cd3cbae3cf921d896d7e5de06cd2036aa2fea3787d0c9000", "generator_version": "3.0"}
{"id": "v3_test_id_00002298", "prompt": "Find x: x - 310 = 11(x - 30)", "solution_steps": ["Expand: x - 310 = 11x - 330", "Subtract 11x from both sides: -10x - 310 = -330", "Add 310 to both sides: -10x = -20", "Divide both sides by -10: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 310 = 11(x - 30)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 30, \"d\": -310, \"x\": 2}", "seed": "18003917205222796135", "semantic_fingerprint": "sha256:10a4cc0dfacbcb522fa7e1747c37d7ec4487f2d921a28e7107e23f765f2e85a2", "generator_version": "3.0"}
{"id": "v3_test_id_00002299", "prompt": "Compute: -17 * 5 + (-806) + (9 + (5 - 8))", "solution_steps": ["Multiply: -17 * 5 = -85", "Add: -85 + (-806) = -891", "Subtract: 5 - 8 = -3", "Add: 9 + (-3) = 6", "Add: -891 + 6 = -885"], "final_answer": "-885", "answer_type": "integer", "kind": "expression", "math_text": "-17 * 5 + (-806) + (9 + (5 - 8))", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* n n) n) (+ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": 5, \"c\": -806, \"d\": 9, \"e\": 5, \"f\": 8}", "seed": "11678406260903699972", "semantic_fingerprint": "sha256:63bdf7d7c8a4789346492764ddfb9907e7ecad781029c8e76ddba386ea625e5b", "generator_version": "3.0"}
{"id": "v3_test_id_00002300", "prompt": "Solve for x: x + 83 = -10(x + 50)", "solution_steps": ["Expand: x + 83 = -10x - 500", "Add 10x to both sides: 11x + 83 = -500", "Subtract 83 from both sides: 11x = -583", "Divide both sides by 11: x = -53"], "final_answer": "-53", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 83 = -10(x + 50)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": -10, \"c\": 50}", "seed": "3863823658163031663", "semantic_fingerprint": "sha256:3229211823bbf4094474c34abb8c63cbac055cf9d46ad8e551dddcd6cae2bb99", "generator_version": "3.0"}
{"id": "v3_test_id_00002301", "prompt": "Solve for x: 6(x + 946) = 4(x - 39)", "solution_steps": ["Expand: 6x + 5676 = 4(x - 39)", "Expand: 6x + 5676 = 4x - 156", "Subtract 4x from both sides: 2x + 5676 = -156", "Subtract 5676 from both sides: 2x = -5832", "Divide both sides by 2: x = -2916"], "final_answer": "-2916", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 946) = 4(x - 39)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 946, \"c\": 4, \"d\": 39}", "seed": "11734055906254074651", "semantic_fingerprint": "sha256:cfe69a6a8b98e996fe7bebbb5c2ab069d98ffb8ee34974723fda3a8d7021fe24", "generator_version": "3.0"}
{"id": "v3_test_id_00002302", "prompt": "Find x: 11(x + 2) = 12(x + 456)", "solution_steps": ["Expand: 11x + 22 = 12(x + 456)", "Expand: 11x + 22 = 12x + 5472", "Subtract 12x from both sides: -x + 22 = 5472", "Subtract 22 from both sides: -x = 5450", "Divide both sides by -1: x = -5450"], "final_answer": "-5450", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 2) = 12(x + 456)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 2, \"c\": 12, \"d\": 456}", "seed": "5125776183909131416", "semantic_fingerprint": "sha256:85af0e8da279eb3da6698cc73de01e92baa52fc7dc87071a2ed70072c81e0e0d", "generator_version": "3.0"}
{"id": "v3_test_id_00002303", "prompt": "Solve for x: x - 7 = 7(x + 76) - 635", "solution_steps": ["Expand: x - 7 = 7x + 532 - 635", "Combine constants: x - 7 = 7x - 103", "Subtract 7x from both sides: -6x - 7 = -103", "Add 7 to both sides: -6x = -96", "Divide both sides by -6: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7 = 7(x + 76) - 635", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 76, \"e\": -635, \"x\": 16}", "seed": "15875886277634808818", "semantic_fingerprint": "sha256:705857b13a6c7226563b0e3a8ed0a84ac836fc519206717e9c0a21b124b598af", "generator_version": "3.0"}
{"id": "v3_test_id_00002304", "prompt": "What is 17 + (-70) / 13?", "solution_steps": ["Divide: -70 / 13 = -70/13", "Add: 17 + (-70/13) = 151/13"], "final_answer": "151/13", "answer_type": "rational", "kind": "expression", "math_text": "17 + (-70) / 13", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": -70, \"c\": 13}", "seed": "2272402024646821397", "semantic_fingerprint": "sha256:a270782641ed8442dc7cc2d1a5b567340c9fa0710dc8e4bf08fe3b8fca86b1d2", "generator_version": "3.0"}
{"id": "v3_test_id_00002305", "prompt": "What value of x satisfies x - 118 = -12x?", "solution_steps": ["Add 12x to both sides: 13x - 118 = 0", "Add 118 to both sides: 13x = 118", "Divide both sides by 13: x = 118/13"], "final_answer": "118/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 118 = -12x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 118, \"b\": -12}", "seed": "12772088637119708267", "semantic_fingerprint": "sha256:f334a5a88c694afd66e1be16710ba8406fdf71075e8a79d5064b9787a5add32b", "generator_version": "3.0"}
{"id": "v3_test_id_00002306", "prompt": "Find x: -8(x - 62) = 7x + 751", "solution_steps": ["Expand: -8x + 496 = 7x + 751", "Subtract 7x from both sides: -15x + 496 = 751", "Subtract 496 from both sides: -15x = 255", "Divide both sides by -15: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 62) = 7x + 751", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 62, \"c\": 7, \"e\": 751, \"x\": -17}", "seed": "1275004873846105685", "semantic_fingerprint": "sha256:f582b495819198aee763b43578912142d2998e22dc6ff02e33a5abff154155a3", "generator_version": "3.0"}
{"id": "v3_test_id_00002307", "prompt": "Solve the equation 2x - 17 = x for x.", "solution_steps": ["Subtract x from both sides: x - 17 = 0", "Add 17 to both sides: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 17 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"c\": -17, \"x\": 17}", "seed": "14994729891202730632", "semantic_fingerprint": "sha256:344e03454db88123767723bc85962720dcd49cdf4f902332c2c832cbda62d2d3", "generator_version": "3.0"}
{"id": "v3_test_id_00002308", "prompt": "What value of x satisfies x - 468 = -4(x - 8) - 490?", "solution_steps": ["Expand: x - 468 = -4x + 32 - 490", "Combine constants: x - 468 = -4x - 458", "Add 4x to both sides: 5x - 468 = -458", "Add 468 to both sides: 5x = 10", "Divide both sides by 5: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 468 = -4(x - 8) - 490", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 468, \"b\": -4, \"c\": 8, \"e\": -490, \"x\": 2}", "seed": "3261029416160865447", "semantic_fingerprint": "sha256:0d33d76e34a89d82b14e733b96d209d91bf2b6fd349a51303cde02c288a82ddd", "generator_version": "3.0"}
{"id": "v3_test_id_00002309", "prompt": "Solve the equation 9(x - 3) = 8(x + 83) for x.", "solution_steps": ["Expand: 9x - 27 = 8(x + 83)", "Expand: 9x - 27 = 8x + 664", "Subtract 8x from both sides: x - 27 = 664", "Add 27 to both sides: x = 691"], "final_answer": "691", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 3) = 8(x + 83)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 8, \"d\": 83}", "seed": "13562417781632463214", "semantic_fingerprint": "sha256:f954acc1adc0a882ea3d9d3c213e87168b1eebe698a65e0f121739c2a60b7627", "generator_version": "3.0"}
{"id": "v3_test_id_00002310", "prompt": "Calculate: 54 / 408 * (75 * (8 + 23))", "solution_steps": ["Divide: 54 / 408 = 9/68", "Add: 8 + 23 = 31", "Multiply: 75 * 31 = 2325", "Multiply: (9/68) * 2325 = 20925/68"], "final_answer": "20925/68", "answer_type": "rational", "kind": "expression", "math_text": "54 / 408 * (75 * (8 + 23))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 408, \"c\": 75, \"d\": 8, \"e\": 23}", "seed": "1207026681525039004", "semantic_fingerprint": "sha256:7fec1c1059a05c157e4560a5b0248388213a88c42e4c43da463e9ce2680924f3", "generator_version": "3.0"}
{"id": "v3_test_id_00002311", "prompt": "Solve for x: x + 34 = 7(x - 790)", "solution_steps": ["Expand: x + 34 = 7x - 5530", "Subtract 7x from both sides: -6x + 34 = -5530", "Subtract 34 from both sides: -6x = -5564", "Divide both sides by -6: x = 2782/3"], "final_answer": "2782/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 34 = 7(x - 790)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": 7, \"c\": 790}", "seed": "1053396478310417015", "semantic_fingerprint": "sha256:34522298eb5e06d59fbd419b1cb78ee25a35a0ce58d832bd70bbabe76e208a87", "generator_version": "3.0"}
{"id": "v3_test_id_00002312", "prompt": "What value of x satisfies x + 427 = 11(x + 27)?", "solution_steps": ["Expand: x + 427 = 11x + 297", "Subtract 11x from both sides: -10x + 427 = 297", "Subtract 427 from both sides: -10x = -130", "Divide both sides by -10: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 427 = 11(x + 27)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 27, \"d\": 427, \"x\": 13}", "seed": "15189685851864008626", "semantic_fingerprint": "sha256:ee28db1883b1b67313d394b3259b6270b3171e343353499d1437c3b025d634d0", "generator_version": "3.0"}
{"id": "v3_test_id_00002313", "prompt": "What value of x satisfies 4(x + 14) = 10(x - 56)?", "solution_steps": ["Expand: 4x + 56 = 10(x - 56)", "Expand: 4x + 56 = 10x - 560", "Subtract 10x from both sides: -6x + 56 = -560", "Subtract 56 from both sides: -6x = -616", "Divide both sides by -6: x = 308/3"], "final_answer": "308/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 14) = 10(x - 56)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 14, \"c\": 10, \"d\": 56}", "seed": "4380581691293679403", "semantic_fingerprint": "sha256:2a7aaa1386ac4b80616ac6dff504a61e8ed828f9c1b3dad5f06404f3bf44a253", "generator_version": "3.0"}
{"id": "v3_test_id_00002314", "prompt": "Calculate: (-134 + (0 - (-9))) / (-217)", "solution_steps": ["Subtract: 0 - (-9) = 9", "Add: -134 + 9 = -125", "Divide: -125 / (-217) = 125/217"], "final_answer": "125/217", "answer_type": "rational", "kind": "expression", "math_text": "(-134 + (0 - (-9))) / (-217)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -134, \"b\": 0, \"c\": -9, \"d\": -217}", "seed": "11188406228937534589", "semantic_fingerprint": "sha256:bc5a8b6b36c4de01d396fa32f69a765a942f0eeead97eec0546f63ef973c6ad1", "generator_version": "3.0"}
{"id": "v3_test_id_00002315", "prompt": "Compute: -19 + 0", "solution_steps": ["Add: -19 + 0 = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "expression", "math_text": "-19 + 0", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": 0}", "seed": "17548606088762261379", "semantic_fingerprint": "sha256:e89f9d4a894e859fc55e832589cbc665ae58544856deddecd8c347a9fe29ccfe", "generator_version": "3.0"}
{"id": "v3_test_id_00002316", "prompt": "Solve for x: -5(x - 4) = x", "solution_steps": ["Expand: -5x + 20 = x", "Subtract x from both sides: -6x + 20 = 0", "Subtract 20 from both sides: -6x = -20", "Divide both sides by -6: x = 10/3"], "final_answer": "10/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 4) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 4}", "seed": "11417375450048234536", "semantic_fingerprint": "sha256:e13a18c9dcb1ec37f0921e98c25989ce9c91a1127b1dc3529b9f94374603c47e", "generator_version": "3.0"}
{"id": "v3_test_id_00002317", "prompt": "Solve for x: 11(x + 43) - 418 = 5(x - 91)", "solution_steps": ["Expand: 11x + 473 - 418 = 5(x - 91)", "Expand: 11x + 473 - 418 = 5x - 455", "Combine constants: 11x + 55 = 5x - 455", "Subtract 5x from both sides: 6x + 55 = -455", "Subtract 55 from both sides: 6x = -510", "Divide both sides by 6: x = -85"], "final_answer": "-85", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 43) - 418 = 5(x - 91)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 43, \"c\": 418, \"d\": 5, \"e\": 91}", "seed": "10781450089073522629", "semantic_fingerprint": "sha256:b215d2d28e84a7fc480bcc5e883b15671a1e36f5737d1d1888bf61ae05d54546", "generator_version": "3.0"}
{"id": "v3_test_id_00002318", "prompt": "Evaluate: 8 + 73", "solution_steps": ["Add: 8 + 73 = 81"], "final_answer": "81", "answer_type": "integer", "kind": "expression", "math_text": "8 + 73", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 73}", "seed": "771403558812582569", "semantic_fingerprint": "sha256:8f9487ca166b056ea064244bd7a0b8b08d33f53c7ca866bd2f35cd63655c6db3", "generator_version": "3.0"}
{"id": "v3_test_id_00002319", "prompt": "Calculate: (760 * (-5) - 63) / (-992)", "solution_steps": ["Multiply: 760 * (-5) = -3800", "Subtract: -3800 - 63 = -3863", "Divide: -3863 / (-992) = 3863/992"], "final_answer": "3863/992", "answer_type": "rational", "kind": "expression", "math_text": "(760 * (-5) - 63) / (-992)", "variable": null, "family": "expression_3op", "shape": "(/ (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 760, \"b\": -5, \"c\": 63, \"d\": -992}", "seed": "6525760739398811495", "semantic_fingerprint": "sha256:71ced3cab9cbc62eadb1ba3aa064449bb2b94942645933f88d5615a3e3464aca", "generator_version": "3.0"}
{"id": "v3_test_id_00002320", "prompt": "Solve for x: x - 5 = 6x", "solution_steps": ["Subtract 6x from both sides: -5x - 5 = 0", "Add 5 to both sides: -5x = 5", "Divide both sides by -5: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5 = 6x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"c\": -5, \"x\": -1}", "seed": "14330232718458919308", "semantic_fingerprint": "sha256:a54c64c487a96a074129a37d7c034bdda27d6d8d72a60e05c6c867093a641afe", "generator_version": "3.0"}
{"id": "v3_test_id_00002321", "prompt": "What value of x satisfies -4(x + 2) = x - 771?", "solution_steps": ["Expand: -4x - 8 = x - 771", "Subtract x from both sides: -5x - 8 = -771", "Add 8 to both sides: -5x = -763", "Divide both sides by -5: x = 763/5"], "final_answer": "763/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 2) = x - 771", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 2, \"c\": 771}", "seed": "13697197093138928487", "semantic_fingerprint": "sha256:40d68f5ea2d23199d2e3af8521299925323e060ed707dae8b6e3349c1707df7f", "generator_version": "3.0"}
{"id": "v3_test_id_00002322", "prompt": "Solve the equation 4(x - 46) + 40 = -216 for x.", "solution_steps": ["Expand: 4x - 184 + 40 = -216", "Combine constants: 4x - 144 = -216", "Add 144 to both sides: 4x = -72", "Divide both sides by 4: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 46) + 40 = -216", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 46, \"c\": 40, \"e\": -216, \"x\": -18}", "seed": "8851334722127908098", "semantic_fingerprint": "sha256:d10f2d5602515e95e4a1c284d86745b9519593a828cf10ba18aa6f979e9bb85c", "generator_version": "3.0"}
{"id": "v3_test_id_00002323", "prompt": "Solve for x: 3(x - 12) = 8(x + 282) + 5", "solution_steps": ["Expand: 3x - 36 = 8(x + 282) + 5", "Expand: 3x - 36 = 8x + 2256 + 5", "Combine constants: 3x - 36 = 8x + 2261", "Subtract 8x from both sides: -5x - 36 = 2261", "Add 36 to both sides: -5x = 2297", "Divide both sides by -5: x = -2297/5"], "final_answer": "-2297/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 12) = 8(x + 282) + 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 12, \"c\": 8, \"d\": 282, \"e\": 5}", "seed": "2112204980048958745", "semantic_fingerprint": "sha256:91d89b3c0f38679d83e13f7176a18cc54305bb2f39530b6d36ee8b4f82ff2d49", "generator_version": "3.0"}
{"id": "v3_test_id_00002324", "prompt": "Compute: 1 / 76 * (-93) / 85", "solution_steps": ["Divide: 1 / 76 = 1/76", "Multiply: (1/76) * (-93) = -93/76", "Divide: (-93/76) / 85 = -93/6460"], "final_answer": "-93/6460", "answer_type": "rational", "kind": "expression", "math_text": "1 / 76 * (-93) / 85", "variable": null, "family": "expression_3op", "shape": "(/ (* (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 76, \"c\": -93, \"d\": 85}", "seed": "10966530709505006307", "semantic_fingerprint": "sha256:a753f115094a5e6041e3d37ce0a7b4ef9b6082e444a472ecda84813d63da91a4", "generator_version": "3.0"}
{"id": "v3_test_id_00002325", "prompt": "What value of x satisfies 10(x - 64) = -7(x - 5) + 72?", "solution_steps": ["Expand: 10x - 640 = -7(x - 5) + 72", "Expand: 10x - 640 = -7x + 35 + 72", "Combine constants: 10x - 640 = -7x + 107", "Add 7x to both sides: 17x - 640 = 107", "Add 640 to both sides: 17x = 747", "Divide both sides by 17: x = 747/17"], "final_answer": "747/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 64) = -7(x - 5) + 72", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 64, \"c\": -7, \"d\": 5, \"e\": 72}", "seed": "7733956301234005011", "semantic_fingerprint": "sha256:4d1f2c8f8f6d22395c907be64d35e7754ccbfe40b450b2b3fa388221e6112eda", "generator_version": "3.0"}
{"id": "v3_test_id_00002326", "prompt": "Evaluate: -96 * ((3 - 43) / (71 + 887))", "solution_steps": ["Subtract: 3 - 43 = -40", "Add: 71 + 887 = 958", "Divide: -40 / 958 = -20/479", "Multiply: -96 * (-20/479) = 1920/479"], "final_answer": "1920/479", "answer_type": "rational", "kind": "expression", "math_text": "-96 * ((3 - 43) / (71 + 887))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (- n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": 3, \"c\": 43, \"d\": 71, \"e\": 887}", "seed": "1581306594321079506", "semantic_fingerprint": "sha256:313a9d25743e7cba356b3ad9df58e2c85bbcfb74a351bf63ee8dfdf5b71497dd", "generator_version": "3.0"}
{"id": "v3_test_id_00002327", "prompt": "Calculate: -648 - (163 + 7)", "solution_steps": ["Add: 163 + 7 = 170", "Subtract: -648 - 170 = -818"], "final_answer": "-818", "answer_type": "integer", "kind": "expression", "math_text": "-648 - (163 + 7)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -648, \"b\": 163, \"c\": 7}", "seed": "14863024799310037944", "semantic_fingerprint": "sha256:d175279476bbddb86eff2a1d44b8d304d526100b5f8d5256501bafba8a6c490b", "generator_version": "3.0"}
{"id": "v3_test_id_00002328", "prompt": "Compute: -46 - 92 - 39", "solution_steps": ["Subtract: -46 - 92 = -138", "Subtract: -138 - 39 = -177"], "final_answer": "-177", "answer_type": "integer", "kind": "expression", "math_text": "-46 - 92 - 39", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": 92, \"c\": 39}", "seed": "13218508405106800958", "semantic_fingerprint": "sha256:340b6d6a8e8ad57c513272cc862a26a61a38acd6fb198c9f9c7f684c95e27ac0", "generator_version": "3.0"}
{"id": "v3_test_id_00002329", "prompt": "Calculate: -65 - (-5 - (-86) * (759 / (-414)))", "solution_steps": ["Divide: 759 / (-414) = -11/6", "Multiply: -86 * (-11/6) = 473/3", "Subtract: -5 - 473/3 = -488/3", "Subtract: -65 - (-488/3) = 293/3"], "final_answer": "293/3", "answer_type": "rational", "kind": "expression", "math_text": "-65 - (-5 - (-86) * (759 / (-414)))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (* n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -5, \"c\": -86, \"d\": 759, \"e\": -414}", "seed": "5093367577305140679", "semantic_fingerprint": "sha256:a61198a279f7fd4f9ec34d9e754229a6f495ef7cf0a3edfea144cfb8ede6218a", "generator_version": "3.0"}
{"id": "v3_test_id_00002330", "prompt": "Calculate: -1 * (-80) - 63", "solution_steps": ["Multiply: -1 * (-80) = 80", "Subtract: 80 - 63 = 17"], "final_answer": "17", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (-80) - 63", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -80, \"c\": 63}", "seed": "2792486510164601726", "semantic_fingerprint": "sha256:ae1acebf1f6fb7e15fda08d1c3128c27e23bf8caa22b0116611bb9415d1ba190", "generator_version": "3.0"}
{"id": "v3_test_id_00002331", "prompt": "Evaluate: 84 - (45 + (-56))", "solution_steps": ["Add: 45 + (-56) = -11", "Subtract: 84 - (-11) = 95"], "final_answer": "95", "answer_type": "integer", "kind": "expression", "math_text": "84 - (45 + (-56))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": 45, \"c\": -56}", "seed": "16362267611774887373", "semantic_fingerprint": "sha256:80f139240021fd60dce671a2048410a549deda9c3f910e1c2a1b37629865999c", "generator_version": "3.0"}
{"id": "v3_test_id_00002332", "prompt": "Evaluate: (-482 + 27) * (52 / 57 * (-3))", "solution_steps": ["Add: -482 + 27 = -455", "Divide: 52 / 57 = 52/57", "Multiply: (52/57) * (-3) = -52/19", "Multiply: -455 * (-52/19) = 23660/19"], "final_answer": "23660/19", "answer_type": "rational", "kind": "expression", "math_text": "(-482 + 27) * (52 / 57 * (-3))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (* (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -482, \"b\": 27, \"c\": 52, \"d\": 57, \"e\": -3}", "seed": "12789167827112317256", "semantic_fingerprint": "sha256:2958fc10424d472ee30a04314292d1ec3cdf47c4df07ddcb247eb1242d1de971", "generator_version": "3.0"}
{"id": "v3_test_id_00002333", "prompt": "What is -861 / (-410) - 4?", "solution_steps": ["Divide: -861 / (-410) = 21/10", "Subtract: 21/10 - 4 = -19/10"], "final_answer": "-19/10", "answer_type": "rational", "kind": "expression", "math_text": "-861 / (-410) - 4", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -861, \"b\": -410, \"c\": 4}", "seed": "8323624010193621395", "semantic_fingerprint": "sha256:d0e011c07f80906533e01513f51d31ed1c85665c1314ac83357cc8d8283921d7", "generator_version": "3.0"}
{"id": "v3_test_id_00002334", "prompt": "Solve for x: 6(x - 5) + 9 = 5(x - 48) + 221", "solution_steps": ["Expand: 6x - 30 + 9 = 5(x - 48) + 221", "Expand: 6x - 30 + 9 = 5x - 240 + 221", "Combine constants: 6x - 21 = 5x - 240 + 221", "Combine constants: 6x - 21 = 5x - 19", "Subtract 5x from both sides: x - 21 = -19", "Add 21 to both sides: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 5) + 9 = 5(x - 48) + 221", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 9, \"d\": 5, \"e\": 48, \"g\": 221, \"x\": 2}", "seed": "10468179898935857523", "semantic_fingerprint": "sha256:519a23b28cb895845a8bf4be64f0b8d74dd89483f3693db3dd761ff6deb381a3", "generator_version": "3.0"}
{"id": "v3_test_id_00002335", "prompt": "Solve the equation 9x + 394 = 12(x - 4) for x.", "solution_steps": ["Expand: 9x + 394 = 12x - 48", "Subtract 12x from both sides: -3x + 394 = -48", "Subtract 394 from both sides: -3x = -442", "Divide both sides by -3: x = 442/3"], "final_answer": "442/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x + 394 = 12(x - 4)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 394, \"c\": 12, \"d\": 4}", "seed": "18403551246293065612", "semantic_fingerprint": "sha256:2744a35611c5328f1a93733d1e6728552f5449b36218063e7ca50083c8df19df", "generator_version": "3.0"}
{"id": "v3_test_id_00002336", "prompt": "Solve for x: 2(x - 7) + 899 = -10x - 2", "solution_steps": ["Expand: 2x - 14 + 899 = -10x - 2", "Combine constants: 2x + 885 = -10x - 2", "Add 10x to both sides: 12x + 885 = -2", "Subtract 885 from both sides: 12x = -887", "Divide both sides by 12: x = -887/12"], "final_answer": "-887/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 7) + 899 = -10x - 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 7, \"c\": 899, \"d\": -10, \"e\": 2}", "seed": "3537702340355341312", "semantic_fingerprint": "sha256:75ba9b44cbc7b7157975b9d01d6c2373c8a07c1c01daf43e7e5b0fa07c5a3494", "generator_version": "3.0"}
{"id": "v3_test_id_00002337", "prompt": "Evaluate: -83 * (6 + 2)", "solution_steps": ["Add: 6 + 2 = 8", "Multiply: -83 * 8 = -664"], "final_answer": "-664", "answer_type": "integer", "kind": "expression", "math_text": "-83 * (6 + 2)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": 6, \"c\": 2}", "seed": "6162984760760739175", "semantic_fingerprint": "sha256:4b2e53a3cd90e6665a6c34b8c583c23e08ce99569c03f818cae705a8ff5a3c04", "generator_version": "3.0"}
{"id": "v3_test_id_00002338", "prompt": "Evaluate: 17 / ((8 - 184) / (9 / (-2 - (-9))))", "solution_steps": ["Subtract: 8 - 184 = -176", "Subtract: -2 - (-9) = 7", "Divide: 9 / 7 = 9/7", "Divide: -176 / (9/7) = -1232/9", "Divide: 17 / (-1232/9) = -153/1232"], "final_answer": "-153/1232", "answer_type": "rational", "kind": "expression", "math_text": "17 / ((8 - 184) / (9 / (-2 - (-9))))", "variable": null, "family": "expression_5op", "shape": "(/ n (/ (- n n) (/ n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": 8, \"c\": 184, \"d\": 9, \"e\": -2, \"f\": -9}", "seed": "16355294319915313906", "semantic_fingerprint": "sha256:0b3f9057c767f434f7337462c54873d94400f2b73d6edc9adb079817301e3909", "generator_version": "3.0"}
{"id": "v3_test_id_00002339", "prompt": "Solve for x: 8(x - 96) - 6 = 2(x + 6) - 786", "solution_steps": ["Expand: 8x - 768 - 6 = 2(x + 6) - 786", "Expand: 8x - 768 - 6 = 2x + 12 - 786", "Combine constants: 8x - 774 = 2x + 12 - 786", "Combine constants: 8x - 774 = 2x - 774", "Subtract 2x from both sides: 6x - 774 = -774", "Add 774 to both sides: 6x = 0", "Divide both sides by 6: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 96) - 6 = 2(x + 6) - 786", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 96, \"c\": 6, \"d\": 2, \"e\": 6, \"g\": -786, \"x\": 0}", "seed": "10225533297742220734", "semantic_fingerprint": "sha256:bf66623b816a60b86dd2a050265bc24479df0ebd8e89c238a629292df1fe0942", "generator_version": "3.0"}
{"id": "v3_test_id_00002340", "prompt": "What value of x satisfies 3(x + 467) = 9x?", "solution_steps": ["Expand: 3x + 1401 = 9x", "Subtract 9x from both sides: -6x + 1401 = 0", "Subtract 1401 from both sides: -6x = -1401", "Divide both sides by -6: x = 467/2"], "final_answer": "467/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 467) = 9x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 467, \"c\": 9}", "seed": "7892931257517418079", "semantic_fingerprint": "sha256:d1d3c2d9018add9240b7dc74d72c7f7bbf4caecceb10e83a49d88c8b1a71b1df", "generator_version": "3.0"}
{"id": "v3_test_id_00002341", "prompt": "Solve the equation x - 39 = -11(x - 4) - 56 for x.", "solution_steps": ["Expand: x - 39 = -11x + 44 - 56", "Combine constants: x - 39 = -11x - 12", "Add 11x to both sides: 12x - 39 = -12", "Add 39 to both sides: 12x = 27", "Divide both sides by 12: x = 9/4"], "final_answer": "9/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 39 = -11(x - 4) - 56", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": -11, \"c\": 4, \"d\": 56}", "seed": "12756123405630775426", "semantic_fingerprint": "sha256:96e352bd738b46eb4598e96c57183ed6ad91403b7f4174294c480946fc65d755", "generator_version": "3.0"}
{"id": "v3_test_id_00002342", "prompt": "Calculate: 51 / (7 + (-358) - (-75) * (430 + (-264)))", "solution_steps": ["Add: 7 + (-358) = -351", "Add: 430 + (-264) = 166", "Multiply: -75 * 166 = -12450", "Subtract: -351 - (-12450) = 12099", "Divide: 51 / 12099 = 17/4033"], "final_answer": "17/4033", "answer_type": "rational", "kind": "expression", "math_text": "51 / (7 + (-358) - (-75) * (430 + (-264)))", "variable": null, "family": "expression_5op", "shape": "(/ n (- (+ n n) (* n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 7, \"c\": -358, \"d\": -75, \"e\": 430, \"f\": -264}", "seed": "15286223351110229612", "semantic_fingerprint": "sha256:0ac164c434086d637780d62f308403dad018cad7985fbf42c447425343c44de8", "generator_version": "3.0"}
{"id": "v3_test_id_00002343", "prompt": "Calculate: 68 / (6 - 67 / (-35))", "solution_steps": ["Divide: 67 / (-35) = -67/35", "Subtract: 6 - (-67/35) = 277/35", "Divide: 68 / (277/35) = 2380/277"], "final_answer": "2380/277", "answer_type": "rational", "kind": "expression", "math_text": "68 / (6 - 67 / (-35))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": 6, \"c\": 67, \"d\": -35}", "seed": "2354087756640553511", "semantic_fingerprint": "sha256:385387e9defdebdc3f75d2925185fd41eab969c359490a03523bac70d6ed56c4", "generator_version": "3.0"}
{"id": "v3_test_id_00002344", "prompt": "Solve for x: x = -7(x + 68)", "solution_steps": ["Expand: x = -7x - 476", "Add 7x to both sides: 8x = -476", "Divide both sides by 8: x = -119/2"], "final_answer": "-119/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -7(x + 68)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 68}", "seed": "7235729825220591665", "semantic_fingerprint": "sha256:d490a1279a9b9c217f6a6758672cee2c12e7162f385f6e3f90b7d3e330d6b109", "generator_version": "3.0"}
{"id": "v3_test_id_00002345", "prompt": "Compute: 69 - (-5)", "solution_steps": ["Subtract: 69 - (-5) = 74"], "final_answer": "74", "answer_type": "integer", "kind": "expression", "math_text": "69 - (-5)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": -5}", "seed": "17972856981203320783", "semantic_fingerprint": "sha256:0c135a48fed7988f379bae09c3470380645653809997e22f672436f783af30a9", "generator_version": "3.0"}
{"id": "v3_test_id_00002346", "prompt": "Compute: (51 - 528 - (-202)) * (-3 / (-41) + 5)", "solution_steps": ["Subtract: 51 - 528 = -477", "Subtract: -477 - (-202) = -275", "Divide: -3 / (-41) = 3/41", "Add: 3/41 + 5 = 208/41", "Multiply: -275 * (208/41) = -57200/41"], "final_answer": "-57200/41", "answer_type": "rational", "kind": "expression", "math_text": "(51 - 528 - (-202)) * (-3 / (-41) + 5)", "variable": null, "family": "expression_5op", "shape": "(* (- (- n n) n) (+ (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 528, \"c\": -202, \"d\": -3, \"e\": -41, \"f\": 5}", "seed": "3892837263658326185", "semantic_fingerprint": "sha256:4817451dfa7465c590a2b86a5d4ceba024aa765e5995017a27595a4792b6edd0", "generator_version": "3.0"}
{"id": "v3_test_id_00002347", "prompt": "Find x: 8x = -40", "solution_steps": ["Divide both sides by 8: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = -40", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"c\": -40, \"x\": -5}", "seed": "13223676286687903092", "semantic_fingerprint": "sha256:38edc625e08a91a103cc5cee6d2a08af9f8376dcb7a284496c87d51635b8d5f8", "generator_version": "3.0"}
{"id": "v3_test_id_00002348", "prompt": "Find x: -3(x + 8) = 10x - 79", "solution_steps": ["Expand: -3x - 24 = 10x - 79", "Subtract 10x from both sides: -13x - 24 = -79", "Add 24 to both sides: -13x = -55", "Divide both sides by -13: x = 55/13"], "final_answer": "55/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x + 8) = 10x - 79", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 8, \"c\": 10, \"d\": 79}", "seed": "17908221740911371014", "semantic_fingerprint": "sha256:38aa01acbc892a8aef8ec0348867d72938f81fbe2478dfca3a604a2b41b371be", "generator_version": "3.0"}
{"id": "v3_test_id_00002349", "prompt": "Evaluate: 0 * (-99 * (-85))", "solution_steps": ["Multiply: -99 * (-85) = 8415", "Multiply: 0 * 8415 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-99 * (-85))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -99, \"c\": -85}", "seed": "5440453042680587242", "semantic_fingerprint": "sha256:725d1ade53903cc3cd1c8c5d8279cfd10fc4e534cbda3e44e6c8587a07c6f89b", "generator_version": "3.0"}
{"id": "v3_test_id_00002350", "prompt": "Compute: -95 * 1", "solution_steps": ["Multiply: -95 * 1 = -95"], "final_answer": "-95", "answer_type": "integer", "kind": "expression", "math_text": "-95 * 1", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": 1}", "seed": "1251189237803191531", "semantic_fingerprint": "sha256:594cd538114e8394d9b16f09ec1466e115e4dcfc6d64b25f0d248bf95a8c4461", "generator_version": "3.0"}
{"id": "v3_test_id_00002351", "prompt": "Evaluate: -409 + (-3 - 493)", "solution_steps": ["Subtract: -3 - 493 = -496", "Add: -409 + (-496) = -905"], "final_answer": "-905", "answer_type": "integer", "kind": "expression", "math_text": "-409 + (-3 - 493)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -409, \"b\": -3, \"c\": 493}", "seed": "5015518065989610079", "semantic_fingerprint": "sha256:d217183bd1c8250b08e67e631e7b5aa6870db517eab673ad81f06463d394b981", "generator_version": "3.0"}
{"id": "v3_test_id_00002352", "prompt": "Evaluate: 86 + 80 - 664 / (-78)", "solution_steps": ["Add: 86 + 80 = 166", "Divide: 664 / (-78) = -332/39", "Subtract: 166 - (-332/39) = 6806/39"], "final_answer": "6806/39", "answer_type": "rational", "kind": "expression", "math_text": "86 + 80 - 664 / (-78)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 80, \"c\": 664, \"d\": -78}", "seed": "12586705225488789643", "semantic_fingerprint": "sha256:0e4eed1c0aab7a08ea1ad02d4a4ade1a6462ef3da25f2043464c0d6983706404", "generator_version": "3.0"}
{"id": "v3_test_id_00002353", "prompt": "What is (-22 + (-902)) * (-959 / (-61))?", "solution_steps": ["Add: -22 + (-902) = -924", "Divide: -959 / (-61) = 959/61", "Multiply: -924 * (959/61) = -886116/61"], "final_answer": "-886116/61", "answer_type": "rational", "kind": "expression", "math_text": "(-22 + (-902)) * (-959 / (-61))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": -902, \"c\": -959, \"d\": -61}", "seed": "13824612206014717003", "semantic_fingerprint": "sha256:c54a0904f274e6a99c2f1814c96267520d462c727449fb098623d1d69e2c07b4", "generator_version": "3.0"}
{"id": "v3_test_id_00002354", "prompt": "Solve the equation x - 30 = 5x + 38 for x.", "solution_steps": ["Subtract 5x from both sides: -4x - 30 = 38", "Add 30 to both sides: -4x = 68", "Divide both sides by -4: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 30 = 5x + 38", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": 5, \"d\": 38, \"x\": -17}", "seed": "17051383433060647245", "semantic_fingerprint": "sha256:9ed01d6f0c36d099209a62f5eedb070a36205d1313d5042b86e6a7c9ed547e55", "generator_version": "3.0"}
{"id": "v3_test_id_00002355", "prompt": "Calculate: 66 / (-1) / (-5 / 4 / (10 + (-3)))", "solution_steps": ["Divide: 66 / (-1) = -66", "Divide: -5 / 4 = -5/4", "Add: 10 + (-3) = 7", "Divide: (-5/4) / 7 = -5/28", "Divide: -66 / (-5/28) = 1848/5"], "final_answer": "1848/5", "answer_type": "rational", "kind": "expression", "math_text": "66 / (-1) / (-5 / 4 / (10 + (-3)))", "variable": null, "family": "expression_5op", "shape": "(/ (/ n n) (/ (/ n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -1, \"c\": -5, \"d\": 4, \"e\": 10, \"f\": -3}", "seed": "9026580048902454335", "semantic_fingerprint": "sha256:0a919ce52a9db658e2adc89f649b9fb169f25d1a37580bbc2ba0802a33e7539d", "generator_version": "3.0"}
{"id": "v3_test_id_00002356", "prompt": "Compute: 946 / (-3) * (-541) - (-120 + (-204 + (-285)))", "solution_steps": ["Divide: 946 / (-3) = -946/3", "Multiply: (-946/3) * (-541) = 511786/3", "Add: -204 + (-285) = -489", "Add: -120 + (-489) = -609", "Subtract: 511786/3 - (-609) = 513613/3"], "final_answer": "513613/3", "answer_type": "rational", "kind": "expression", "math_text": "946 / (-3) * (-541) - (-120 + (-204 + (-285)))", "variable": null, "family": "expression_5op", "shape": "(- (* (/ n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 946, \"b\": -3, \"c\": -541, \"d\": -120, \"e\": -204, \"f\": -285}", "seed": "8232646767190167350", "semantic_fingerprint": "sha256:d48db446f68dfcfcb7223298f5781e72d279354a0c083ffcc2edc752651e5c03", "generator_version": "3.0"}
{"id": "v3_test_id_00002357", "prompt": "Evaluate: 2 / 368 - (-29) - 3 + (-702) + 9", "solution_steps": ["Divide: 2 / 368 = 1/184", "Subtract: 1/184 - (-29) = 5337/184", "Subtract: 5337/184 - 3 = 4785/184", "Add: 4785/184 + (-702) = -124383/184", "Add: -124383/184 + 9 = -122727/184"], "final_answer": "-122727/184", "answer_type": "rational", "kind": "expression", "math_text": "2 / 368 - (-29) - 3 + (-702) + 9", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- (- (/ n n) n) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 368, \"c\": -29, \"d\": 3, \"e\": -702, \"f\": 9}", "seed": "3751303080083469071", "semantic_fingerprint": "sha256:d7851693cbf153b823a28be961f3e06ccdb344c8c1ff249501211f7d70de50b5", "generator_version": "3.0"}
{"id": "v3_test_id_00002358", "prompt": "Evaluate: 23 * (-94) * 73", "solution_steps": ["Multiply: 23 * (-94) = -2162", "Multiply: -2162 * 73 = -157826"], "final_answer": "-157826", "answer_type": "integer", "kind": "expression", "math_text": "23 * (-94) * 73", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": -94, \"c\": 73}", "seed": "867286390522648501", "semantic_fingerprint": "sha256:cdd11a422c9e8b9d63c615994782c7ec21a978115456a52776ae22c4de8344a3", "generator_version": "3.0"}
{"id": "v3_test_id_00002359", "prompt": "Calculate: (-4 - 1) * (67 + (-8))", "solution_steps": ["Subtract: -4 - 1 = -5", "Add: 67 + (-8) = 59", "Multiply: -5 * 59 = -295"], "final_answer": "-295", "answer_type": "integer", "kind": "expression", "math_text": "(-4 - 1) * (67 + (-8))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 1, \"c\": 67, \"d\": -8}", "seed": "12733804471901751668", "semantic_fingerprint": "sha256:8dabff715d2a7d2e6b7f83f0f0046c81b9b8e8e22e32d07451bc3a359a122cf1", "generator_version": "3.0"}
{"id": "v3_test_id_00002360", "prompt": "Calculate: (0 - 4 * 14 - (-550 + (-47))) * 0", "solution_steps": ["Multiply: 4 * 14 = 56", "Subtract: 0 - 56 = -56", "Add: -550 + (-47) = -597", "Subtract: -56 - (-597) = 541", "Multiply: 541 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(0 - 4 * 14 - (-550 + (-47))) * 0", "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\": -550, \"e\": -47, \"f\": 0}", "seed": "12737075562045483916", "semantic_fingerprint": "sha256:ab1870ad16dae5f2e146a147f76b16eb2eaeba8e006d2b1e04f28c0cca0cbd1b", "generator_version": "3.0"}
{"id": "v3_test_id_00002361", "prompt": "Evaluate: 138 - 2 * (493 * 3 * 9)", "solution_steps": ["Multiply: 493 * 3 = 1479", "Multiply: 1479 * 9 = 13311", "Multiply: 2 * 13311 = 26622", "Subtract: 138 - 26622 = -26484"], "final_answer": "-26484", "answer_type": "integer", "kind": "expression", "math_text": "138 - 2 * (493 * 3 * 9)", "variable": null, "family": "expression_4op", "shape": "(- n (* n (* (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 138, \"b\": 2, \"c\": 493, \"d\": 3, \"e\": 9}", "seed": "1910513096930442646", "semantic_fingerprint": "sha256:5bf274b01de58cd13fe673d992fd72810e33f472e80814288f9e0670079b90bc", "generator_version": "3.0"}
{"id": "v3_test_id_00002362", "prompt": "Compute: 55 / (-682)", "solution_steps": ["Divide: 55 / (-682) = -5/62"], "final_answer": "-5/62", "answer_type": "rational", "kind": "expression", "math_text": "55 / (-682)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": -682}", "seed": "6971590604568785415", "semantic_fingerprint": "sha256:37891e8fd75127b0abcdafd571e0301ff3fc6d684338e128c701ff30acf59951", "generator_version": "3.0"}
{"id": "v3_test_id_00002363", "prompt": "Compute: 472 + (-4 + 5 / 66)", "solution_steps": ["Divide: 5 / 66 = 5/66", "Add: -4 + 5/66 = -259/66", "Add: 472 + (-259/66) = 30893/66"], "final_answer": "30893/66", "answer_type": "rational", "kind": "expression", "math_text": "472 + (-4 + 5 / 66)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 472, \"b\": -4, \"c\": 5, \"d\": 66}", "seed": "11505092389987945643", "semantic_fingerprint": "sha256:291ca8d96bd752f951ed4c19eef1f9c638143747b8acbdae53b6d581d2241758", "generator_version": "3.0"}
{"id": "v3_test_id_00002364", "prompt": "Compute: -28 / ((87 + (-369)) / 13) * (74 - 8)", "solution_steps": ["Add: 87 + (-369) = -282", "Divide: -282 / 13 = -282/13", "Divide: -28 / (-282/13) = 182/141", "Subtract: 74 - 8 = 66", "Multiply: (182/141) * 66 = 4004/47"], "final_answer": "4004/47", "answer_type": "rational", "kind": "expression", "math_text": "-28 / ((87 + (-369)) / 13) * (74 - 8)", "variable": null, "family": "expression_5op", "shape": "(* (/ n (/ (+ n n) n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": 87, \"c\": -369, \"d\": 13, \"e\": 74, \"f\": 8}", "seed": "1606001667614146176", "semantic_fingerprint": "sha256:8fd932d8ea295ccff778dc6963e304af1539da8f3b7e486ffd4da0aef3238b43", "generator_version": "3.0"}
{"id": "v3_test_id_00002365", "prompt": "Find x: -3x + 52 = -5(x - 4) + 30", "solution_steps": ["Expand: -3x + 52 = -5x + 20 + 30", "Combine constants: -3x + 52 = -5x + 50", "Add 5x to both sides: 2x + 52 = 50", "Subtract 52 from both sides: 2x = -2", "Divide both sides by 2: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x + 52 = -5(x - 4) + 30", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 52, \"c\": -5, \"d\": 4, \"f\": 30, \"x\": -1}", "seed": "10548610392065712993", "semantic_fingerprint": "sha256:9491c357437bb227ad68e884f1217d0c7d0f57ef594b63e5df2238879fc59fcb", "generator_version": "3.0"}
{"id": "v3_test_id_00002366", "prompt": "Solve for x: -12x + 22 = 10x", "solution_steps": ["Subtract 10x from both sides: -22x + 22 = 0", "Subtract 22 from both sides: -22x = -22", "Divide both sides by -22: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x + 22 = 10x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 10, \"d\": 22, \"x\": 1}", "seed": "5570200969264181302", "semantic_fingerprint": "sha256:d975bd8fb0c3fdbf50bae633776653cd5e8d1beaf37a06f9a17b363ebc1c9df6", "generator_version": "3.0"}
{"id": "v3_test_id_00002367", "prompt": "Calculate: 1 * (-28 * (-750))", "solution_steps": ["Multiply: -28 * (-750) = 21000", "Multiply: 1 * 21000 = 21000"], "final_answer": "21000", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-28 * (-750))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -28, \"c\": -750}", "seed": "10016413349521023927", "semantic_fingerprint": "sha256:110784dcb16fed8b0b12e024427426fb893afc3a723f0a69e43467412d53e881", "generator_version": "3.0"}
{"id": "v3_test_id_00002368", "prompt": "What value of x satisfies 7x = -5(x - 19) - 227?", "solution_steps": ["Expand: 7x = -5x + 95 - 227", "Combine constants: 7x = -5x - 132", "Add 5x to both sides: 12x = -132", "Divide both sides by 12: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = -5(x - 19) - 227", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -5, \"c\": 19, \"e\": -227, \"x\": -11}", "seed": "5472298867233468365", "semantic_fingerprint": "sha256:7e1fc21a1f0491b86db9253f1c9b36612e4279fbd30c5db61799c18b80e042ef", "generator_version": "3.0"}
{"id": "v3_test_id_00002369", "prompt": "What is -3 * (-15 + 98) / (-3)?", "solution_steps": ["Add: -15 + 98 = 83", "Multiply: -3 * 83 = -249", "Divide: -249 / (-3) = 83"], "final_answer": "83", "answer_type": "integer", "kind": "expression", "math_text": "-3 * (-15 + 98) / (-3)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -15, \"c\": 98, \"d\": -3}", "seed": "1264092466320976044", "semantic_fingerprint": "sha256:127d278215f80f391a13b5ae3ab177944fd520500f0dd37553de3878c4b2e3e2", "generator_version": "3.0"}
{"id": "v3_test_id_00002370", "prompt": "Compute: 25 + (-49) * (2 - 8 + 94)", "solution_steps": ["Subtract: 2 - 8 = -6", "Add: -6 + 94 = 88", "Multiply: -49 * 88 = -4312", "Add: 25 + (-4312) = -4287"], "final_answer": "-4287", "answer_type": "integer", "kind": "expression", "math_text": "25 + (-49) * (2 - 8 + 94)", "variable": null, "family": "expression_4op", "shape": "(+ n (* n (+ (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": -49, \"c\": 2, \"d\": 8, \"e\": 94}", "seed": "11280222054868309380", "semantic_fingerprint": "sha256:de080b3815c8dd8ed0ae790b61617ee4bb7aaa9bbb92a82305372f8690266d13", "generator_version": "3.0"}
{"id": "v3_test_id_00002371", "prompt": "Calculate: 6 + (9 - 6 / (-6 / 7))", "solution_steps": ["Divide: -6 / 7 = -6/7", "Divide: 6 / (-6/7) = -7", "Subtract: 9 - (-7) = 16", "Add: 6 + 16 = 22"], "final_answer": "22", "answer_type": "integer", "kind": "expression", "math_text": "6 + (9 - 6 / (-6 / 7))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (/ n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 6, \"d\": -6, \"e\": 7}", "seed": "10380790985991717160", "semantic_fingerprint": "sha256:ba704047cec11674b46a2603e7fe1a979fe60f93e3c2c66397bd4c5424ae8b54", "generator_version": "3.0"}
{"id": "v3_test_id_00002372", "prompt": "Calculate: 0 + (-11 + (-39) * (-454))", "solution_steps": ["Multiply: -39 * (-454) = 17706", "Add: -11 + 17706 = 17695", "Add: 0 + 17695 = 17695"], "final_answer": "17695", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-11 + (-39) * (-454))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -11, \"c\": -39, \"d\": -454}", "seed": "2979415846642924071", "semantic_fingerprint": "sha256:d2a9ca47179fa2b7ccf18ee7a2787dd6f8996f2c14a72b30a6a3dc09f1539655", "generator_version": "3.0"}
{"id": "v3_test_id_00002373", "prompt": "What is -3 / 9 * (183 * (-993))?", "solution_steps": ["Divide: -3 / 9 = -1/3", "Multiply: 183 * (-993) = -181719", "Multiply: (-1/3) * (-181719) = 60573"], "final_answer": "60573", "answer_type": "integer", "kind": "expression", "math_text": "-3 / 9 * (183 * (-993))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 9, \"c\": 183, \"d\": -993}", "seed": "5907929980497578129", "semantic_fingerprint": "sha256:70a6539640eb224e2bd177e5dd54e18fa9d2791285509f8f4e3f588360dc182b", "generator_version": "3.0"}
{"id": "v3_test_id_00002374", "prompt": "Calculate: 9 / (-353 - 56) / (3 - (-96))", "solution_steps": ["Subtract: -353 - 56 = -409", "Divide: 9 / (-409) = -9/409", "Subtract: 3 - (-96) = 99", "Divide: (-9/409) / 99 = -1/4499"], "final_answer": "-1/4499", "answer_type": "rational", "kind": "expression", "math_text": "9 / (-353 - 56) / (3 - (-96))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -353, \"c\": 56, \"d\": 3, \"e\": -96}", "seed": "15309747583340352611", "semantic_fingerprint": "sha256:8fb9444aab4ee192a6806d3ae3bd0a39f7d6f00e6fcf64f512ece32ebd1996c5", "generator_version": "3.0"}
{"id": "v3_test_id_00002375", "prompt": "Compute: 7 / (966 + (-7 - 8))", "solution_steps": ["Subtract: -7 - 8 = -15", "Add: 966 + (-15) = 951", "Divide: 7 / 951 = 7/951"], "final_answer": "7/951", "answer_type": "rational", "kind": "expression", "math_text": "7 / (966 + (-7 - 8))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 966, \"c\": -7, \"d\": 8}", "seed": "3444773580146992961", "semantic_fingerprint": "sha256:84034b58741cf304c166be83da3034a169fa02df6535b43fed581c627ddbb50d", "generator_version": "3.0"}
{"id": "v3_test_id_00002376", "prompt": "What is 5 / (-209 - 18) + 8?", "solution_steps": ["Subtract: -209 - 18 = -227", "Divide: 5 / (-227) = -5/227", "Add: -5/227 + 8 = 1811/227"], "final_answer": "1811/227", "answer_type": "rational", "kind": "expression", "math_text": "5 / (-209 - 18) + 8", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -209, \"c\": 18, \"d\": 8}", "seed": "7315123764500213800", "semantic_fingerprint": "sha256:b4257b1cf526d1fbc338c72cb36bd79d8808a127d94c5258d8166281d11ee016", "generator_version": "3.0"}
{"id": "v3_test_id_00002377", "prompt": "What is 40 + ((-56 + 219) * (-893) - (-94) * 7)?", "solution_steps": ["Add: -56 + 219 = 163", "Multiply: 163 * (-893) = -145559", "Multiply: -94 * 7 = -658", "Subtract: -145559 - (-658) = -144901", "Add: 40 + (-144901) = -144861"], "final_answer": "-144861", "answer_type": "integer", "kind": "expression", "math_text": "40 + ((-56 + 219) * (-893) - (-94) * 7)", "variable": null, "family": "expression_5op", "shape": "(+ n (- (* (+ n n) n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": -56, \"c\": 219, \"d\": -893, \"e\": -94, \"f\": 7}", "seed": "7260468689318380698", "semantic_fingerprint": "sha256:f84d680f12b458adf9b8b40fa14e89e28eaf9819a2d6f3166882b4a19dd7a6f0", "generator_version": "3.0"}
{"id": "v3_test_id_00002378", "prompt": "Find x: x + 8 = 2x", "solution_steps": ["Subtract 2x from both sides: -x + 8 = 0", "Subtract 8 from both sides: -x = -8", "Divide both sides by -1: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 8 = 2x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2}", "seed": "7974296373188016974", "semantic_fingerprint": "sha256:5153233c355a5de350e7ffb82580e4cb0432a78c5e2d70dbfbbb633d3b2da6f0", "generator_version": "3.0"}
{"id": "v3_test_id_00002379", "prompt": "What is 72 - (-416 - (-38) * (-33)) - 91?", "solution_steps": ["Multiply: -38 * (-33) = 1254", "Subtract: -416 - 1254 = -1670", "Subtract: 72 - (-1670) = 1742", "Subtract: 1742 - 91 = 1651"], "final_answer": "1651", "answer_type": "integer", "kind": "expression", "math_text": "72 - (-416 - (-38) * (-33)) - 91", "variable": null, "family": "expression_4op", "shape": "(- (- n (- n (* n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": -416, \"c\": -38, \"d\": -33, \"e\": 91}", "seed": "1808704771380857552", "semantic_fingerprint": "sha256:13a923930d5a041b093c4b54b1f5c9a3410ae2b003748ecf9386a497883bc7a7", "generator_version": "3.0"}
{"id": "v3_test_id_00002380", "prompt": "Compute: 16 * (-56 + (-6)) + (-77) / (-70 / (-37))", "solution_steps": ["Add: -56 + (-6) = -62", "Multiply: 16 * (-62) = -992", "Divide: -70 / (-37) = 70/37", "Divide: -77 / (70/37) = -407/10", "Add: -992 + (-407/10) = -10327/10"], "final_answer": "-10327/10", "answer_type": "rational", "kind": "expression", "math_text": "16 * (-56 + (-6)) + (-77) / (-70 / (-37))", "variable": null, "family": "expression_5op", "shape": "(+ (* n (+ n n)) (/ n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": -56, \"c\": -6, \"d\": -77, \"e\": -70, \"f\": -37}", "seed": "1739244825461510807", "semantic_fingerprint": "sha256:ced24495b5ce0345f97d4ff24b74c8716d7d950fe60b9026a75df1c648f4d340", "generator_version": "3.0"}
{"id": "v3_test_id_00002381", "prompt": "Compute: 224 + (-45 - (-43))", "solution_steps": ["Subtract: -45 - (-43) = -2", "Add: 224 + (-2) = 222"], "final_answer": "222", "answer_type": "integer", "kind": "expression", "math_text": "224 + (-45 - (-43))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 224, \"b\": -45, \"c\": -43}", "seed": "13349645453061754519", "semantic_fingerprint": "sha256:d7941926fbe0e62a6cce3c9e53cb7370675df711b3d81f3453052afbaf91d5c7", "generator_version": "3.0"}
{"id": "v3_test_id_00002382", "prompt": "What value of x satisfies -8x - 96 = x - 168?", "solution_steps": ["Subtract x from both sides: -9x - 96 = -168", "Add 96 to both sides: -9x = -72", "Divide both sides by -9: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x - 96 = x - 168", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 96, \"d\": -168, \"x\": 8}", "seed": "15432662912941915933", "semantic_fingerprint": "sha256:745e3c54faef231e107207da6013679fcbaa8e877a96ff78bb756b05f4b0e3d8", "generator_version": "3.0"}
{"id": "v3_test_id_00002383", "prompt": "Solve for x: x + 11 = 8(x + 2) - 12", "solution_steps": ["Expand: x + 11 = 8x + 16 - 12", "Combine constants: x + 11 = 8x + 4", "Subtract 8x from both sides: -7x + 11 = 4", "Subtract 11 from both sides: -7x = -7", "Divide both sides by -7: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 11 = 8(x + 2) - 12", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 8, \"c\": 2, \"e\": -12, \"x\": 1}", "seed": "4660791774760214079", "semantic_fingerprint": "sha256:7bd570f48ed1ef3fc87a7c028f64bb729f1aed13a22ddc9190a0f6f18cae5d77", "generator_version": "3.0"}
{"id": "v3_test_id_00002384", "prompt": "Compute: -510 - (-57 + (-4))", "solution_steps": ["Add: -57 + (-4) = -61", "Subtract: -510 - (-61) = -449"], "final_answer": "-449", "answer_type": "integer", "kind": "expression", "math_text": "-510 - (-57 + (-4))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -510, \"b\": -57, \"c\": -4}", "seed": "17253803075477619095", "semantic_fingerprint": "sha256:205b5d11aa23490bfb845d8b6a0ffccd7915b8dc13e53c99e205eb4f93470b16", "generator_version": "3.0"}
{"id": "v3_test_id_00002385", "prompt": "Compute: -186 + (-377) + 2 + (178 - 67 * (-843))", "solution_steps": ["Add: -186 + (-377) = -563", "Add: -563 + 2 = -561", "Multiply: 67 * (-843) = -56481", "Subtract: 178 - (-56481) = 56659", "Add: -561 + 56659 = 56098"], "final_answer": "56098", "answer_type": "integer", "kind": "expression", "math_text": "-186 + (-377) + 2 + (178 - 67 * (-843))", "variable": null, "family": "expression_5op", "shape": "(+ (+ (+ n n) n) (- n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -186, \"b\": -377, \"c\": 2, \"d\": 178, \"e\": 67, \"f\": -843}", "seed": "5681302540070352887", "semantic_fingerprint": "sha256:28f48999d601a1a0da14bb71db5358c13782d9b7b9d7b70bb5a90e14d35023c5", "generator_version": "3.0"}
{"id": "v3_test_id_00002386", "prompt": "Evaluate: 75 * (-840 / (0 - 9)) + (-216)", "solution_steps": ["Subtract: 0 - 9 = -9", "Divide: -840 / (-9) = 280/3", "Multiply: 75 * (280/3) = 7000", "Add: 7000 + (-216) = 6784"], "final_answer": "6784", "answer_type": "integer", "kind": "expression", "math_text": "75 * (-840 / (0 - 9)) + (-216)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (/ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": -840, \"c\": 0, \"d\": 9, \"e\": -216}", "seed": "17788665446801196058", "semantic_fingerprint": "sha256:9ef227b227b94e3f8c5d2f69f639ae54a539e1439bab40682068874a13cf8991", "generator_version": "3.0"}
{"id": "v3_test_id_00002387", "prompt": "Evaluate: -606 * 74 / (-7) - (-313)", "solution_steps": ["Multiply: -606 * 74 = -44844", "Divide: -44844 / (-7) = 44844/7", "Subtract: 44844/7 - (-313) = 47035/7"], "final_answer": "47035/7", "answer_type": "rational", "kind": "expression", "math_text": "-606 * 74 / (-7) - (-313)", "variable": null, "family": "expression_3op", "shape": "(- (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -606, \"b\": 74, \"c\": -7, \"d\": -313}", "seed": "17700085167043847540", "semantic_fingerprint": "sha256:a9db625eb3644d96d12365d979bb04e146ea354441414a462c4837ff84432cc3", "generator_version": "3.0"}
{"id": "v3_test_id_00002388", "prompt": "Calculate: -45 + (0 + 51)", "solution_steps": ["Add: 0 + 51 = 51", "Add: -45 + 51 = 6"], "final_answer": "6", "answer_type": "integer", "kind": "expression", "math_text": "-45 + (0 + 51)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": 0, \"c\": 51}", "seed": "11755299025200208451", "semantic_fingerprint": "sha256:2566a8cb31c382c5341ecc4afe77c661e5713a4573578a8910516575bfb6d36c", "generator_version": "3.0"}
{"id": "v3_test_id_00002389", "prompt": "Find x: -2x - 87 = x - 8", "solution_steps": ["Subtract x from both sides: -3x - 87 = -8", "Add 87 to both sides: -3x = 79", "Divide both sides by -3: x = -79/3"], "final_answer": "-79/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2x - 87 = x - 8", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 87, \"c\": 8}", "seed": "9831023873244743211", "semantic_fingerprint": "sha256:3857e6388234440f83d251b9b392297a239a6a068ed217c01b3c9681be1c9224", "generator_version": "3.0"}
{"id": "v3_test_id_00002390", "prompt": "Evaluate: (-7 - (-916)) / (-1 / 5 - 59)", "solution_steps": ["Subtract: -7 - (-916) = 909", "Divide: -1 / 5 = -1/5", "Subtract: -1/5 - 59 = -296/5", "Divide: 909 / (-296/5) = -4545/296"], "final_answer": "-4545/296", "answer_type": "rational", "kind": "expression", "math_text": "(-7 - (-916)) / (-1 / 5 - 59)", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -916, \"c\": -1, \"d\": 5, \"e\": 59}", "seed": "8986540293846758883", "semantic_fingerprint": "sha256:a254aa84339b4997c77b86bd809e7f2d1727b4f6a5bcaceb8790d8824d5f67e2", "generator_version": "3.0"}
{"id": "v3_test_id_00002391", "prompt": "What value of x satisfies 7(x - 15) - 693 = -9x - 878?", "solution_steps": ["Expand: 7x - 105 - 693 = -9x - 878", "Combine constants: 7x - 798 = -9x - 878", "Add 9x to both sides: 16x - 798 = -878", "Add 798 to both sides: 16x = -80", "Divide both sides by 16: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 15) - 693 = -9x - 878", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 15, \"c\": 693, \"d\": -9, \"f\": -878, \"x\": -5}", "seed": "6896128216405857435", "semantic_fingerprint": "sha256:283663a9548340f890136e78dcef5a6910611df5e31c35f021fe48c592dc4a20", "generator_version": "3.0"}
{"id": "v3_test_id_00002392", "prompt": "Find x: -4(x + 246) - 82 = -2(x + 40) - 6", "solution_steps": ["Expand: -4x - 984 - 82 = -2(x + 40) - 6", "Expand: -4x - 984 - 82 = -2x - 80 - 6", "Combine constants: -4x - 1066 = -2x - 80 - 6", "Combine constants: -4x - 1066 = -2x - 86", "Add 2x to both sides: -2x - 1066 = -86", "Add 1066 to both sides: -2x = 980", "Divide both sides by -2: x = -490"], "final_answer": "-490", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 246) - 82 = -2(x + 40) - 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 246, \"c\": 82, \"d\": -2, \"e\": 40, \"f\": 6}", "seed": "7199028705015585085", "semantic_fingerprint": "sha256:c5a313751b3ac08f1a90f4b4031f334ec4b0e0176d8fdf2c6f889e3a30b7d1ac", "generator_version": "3.0"}
{"id": "v3_test_id_00002393", "prompt": "What is (2 + 58) / 5?", "solution_steps": ["Add: 2 + 58 = 60", "Divide: 60 / 5 = 12"], "final_answer": "12", "answer_type": "integer", "kind": "expression", "math_text": "(2 + 58) / 5", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 58, \"c\": 5}", "seed": "17301331535436117618", "semantic_fingerprint": "sha256:227c94ddf4f1e77292d9ba6a5fe6c1f51cab1e85198892cf210093c89476cbfa", "generator_version": "3.0"}
{"id": "v3_test_id_00002394", "prompt": "Evaluate: 7 / (-824)", "solution_steps": ["Divide: 7 / (-824) = -7/824"], "final_answer": "-7/824", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-824)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -824}", "seed": "15782005822660490755", "semantic_fingerprint": "sha256:97370261923d424d891e5c98d6072bbcdb3497fdef64bef96a65360967bac342", "generator_version": "3.0"}
{"id": "v3_test_id_00002395", "prompt": "Evaluate: (-3 - 0 + (-50)) * (0 / (6 - 50))", "solution_steps": ["Subtract: -3 - 0 = -3", "Add: -3 + (-50) = -53", "Subtract: 6 - 50 = -44", "Divide: 0 / (-44) = 0", "Multiply: -53 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-3 - 0 + (-50)) * (0 / (6 - 50))", "variable": null, "family": "expression_5op", "shape": "(* (+ (- n n) n) (/ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 0, \"c\": -50, \"d\": 0, \"e\": 6, \"f\": 50}", "seed": "7771313626458113991", "semantic_fingerprint": "sha256:4f81e5ca9ee5d3f0f8a3e9d22332f4a0863de543ab930b1f9fa6e57d13351426", "generator_version": "3.0"}
{"id": "v3_test_id_00002396", "prompt": "Calculate: (239 - (-25)) / 40 * 31 * (-57 - 89)", "solution_steps": ["Subtract: 239 - (-25) = 264", "Divide: 264 / 40 = 33/5", "Multiply: (33/5) * 31 = 1023/5", "Subtract: -57 - 89 = -146", "Multiply: (1023/5) * (-146) = -149358/5"], "final_answer": "-149358/5", "answer_type": "rational", "kind": "expression", "math_text": "(239 - (-25)) / 40 * 31 * (-57 - 89)", "variable": null, "family": "expression_5op", "shape": "(* (* (/ (- n n) n) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 239, \"b\": -25, \"c\": 40, \"d\": 31, \"e\": -57, \"f\": 89}", "seed": "5189430050696852030", "semantic_fingerprint": "sha256:60cdd010b1e543f1faa7bd9b0c361fbbdf173539e74a41b43d46e7bd43509f40", "generator_version": "3.0"}
{"id": "v3_test_id_00002397", "prompt": "Evaluate: (508 + (-86) - (637 - (-6))) / (0 + (-354))", "solution_steps": ["Add: 508 + (-86) = 422", "Subtract: 637 - (-6) = 643", "Subtract: 422 - 643 = -221", "Add: 0 + (-354) = -354", "Divide: -221 / (-354) = 221/354"], "final_answer": "221/354", "answer_type": "rational", "kind": "expression", "math_text": "(508 + (-86) - (637 - (-6))) / (0 + (-354))", "variable": null, "family": "expression_5op", "shape": "(/ (- (+ n n) (- n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 508, \"b\": -86, \"c\": 637, \"d\": -6, \"e\": 0, \"f\": -354}", "seed": "10787691606150583801", "semantic_fingerprint": "sha256:36ba2b0e9cc8a8cce8224b41f174558955af22e98af5c2470fa8e5a448c154ba", "generator_version": "3.0"}
{"id": "v3_test_id_00002398", "prompt": "Calculate: -4 - (-61 + (-206) - 874 * (7 + (-4)))", "solution_steps": ["Add: -61 + (-206) = -267", "Add: 7 + (-4) = 3", "Multiply: 874 * 3 = 2622", "Subtract: -267 - 2622 = -2889", "Subtract: -4 - (-2889) = 2885"], "final_answer": "2885", "answer_type": "integer", "kind": "expression", "math_text": "-4 - (-61 + (-206) - 874 * (7 + (-4)))", "variable": null, "family": "expression_5op", "shape": "(- n (- (+ n n) (* n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -61, \"c\": -206, \"d\": 874, \"e\": 7, \"f\": -4}", "seed": "4100191493168891273", "semantic_fingerprint": "sha256:f56169331b0d3fa3d90e29c16182a669b91e0de1b2534aeafd24298d662b6e69", "generator_version": "3.0"}
{"id": "v3_test_id_00002399", "prompt": "Compute: 3 - (-9)", "solution_steps": ["Subtract: 3 - (-9) = 12"], "final_answer": "12", "answer_type": "integer", "kind": "expression", "math_text": "3 - (-9)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -9}", "seed": "6734079429623901456", "semantic_fingerprint": "sha256:ae739cba64bc72d8af3901581db80e58fa67bf6a7814a0242e709af642f40c38", "generator_version": "3.0"}
{"id": "v3_test_id_00002400", "prompt": "Find x: 2(x - 94) = x - 204", "solution_steps": ["Expand: 2x - 188 = x - 204", "Subtract x from both sides: x - 188 = -204", "Add 188 to both sides: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 94) = x - 204", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 94, \"d\": -204, \"x\": -16}", "seed": "13180998447546235195", "semantic_fingerprint": "sha256:c9eed14ceabfb24b6cbd06682027aeb69c6ca09015a762976e9f6773424be22e", "generator_version": "3.0"}
{"id": "v3_test_id_00002401", "prompt": "Solve for x: -9(x + 87) = x + 304", "solution_steps": ["Expand: -9x - 783 = x + 304", "Subtract x from both sides: -10x - 783 = 304", "Add 783 to both sides: -10x = 1087", "Divide both sides by -10: x = -1087/10"], "final_answer": "-1087/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 87) = x + 304", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 87, \"c\": 304}", "seed": "10036264069339683085", "semantic_fingerprint": "sha256:d0a1f6ce7153b2fe7fe1794778b0782847c2b611599430f7398cbfe94109eabf", "generator_version": "3.0"}
{"id": "v3_test_id_00002402", "prompt": "Find x: 9x + 239 = 185", "solution_steps": ["Subtract 239 from both sides: 9x = -54", "Divide both sides by 9: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x + 239 = 185", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 239, \"d\": 185, \"x\": -6}", "seed": "926275646095138967", "semantic_fingerprint": "sha256:bd9e28daeabb4474ba209fed9fbaef4c6c6d173310ebcdcb9033a9c8b6685ae7", "generator_version": "3.0"}
{"id": "v3_test_id_00002403", "prompt": "Solve for x: 7(x - 68) + 7 = 3(x + 630) + 57", "solution_steps": ["Expand: 7x - 476 + 7 = 3(x + 630) + 57", "Expand: 7x - 476 + 7 = 3x + 1890 + 57", "Combine constants: 7x - 469 = 3x + 1890 + 57", "Combine constants: 7x - 469 = 3x + 1947", "Subtract 3x from both sides: 4x - 469 = 1947", "Add 469 to both sides: 4x = 2416", "Divide both sides by 4: x = 604"], "final_answer": "604", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 68) + 7 = 3(x + 630) + 57", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 68, \"c\": 7, \"d\": 3, \"e\": 630, \"f\": 57}", "seed": "994884329184977520", "semantic_fingerprint": "sha256:0a986919856261c2059f201588601a580477520566a990c8d0ca417390dfd6d2", "generator_version": "3.0"}
{"id": "v3_test_id_00002404", "prompt": "What is -53 / (-70)?", "solution_steps": ["Divide: -53 / (-70) = 53/70"], "final_answer": "53/70", "answer_type": "rational", "kind": "expression", "math_text": "-53 / (-70)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": -70}", "seed": "16052465023933279606", "semantic_fingerprint": "sha256:792e82b2623b7c8e05ebbe6a8b9b6d909644a314db42fa3afdc3728f70592f2b", "generator_version": "3.0"}
{"id": "v3_test_id_00002405", "prompt": "Find x: 3x = 6x + 3", "solution_steps": ["Subtract 6x from both sides: -3x = 3", "Divide both sides by -3: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 6x + 3", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": 3}", "seed": "3309190348660904740", "semantic_fingerprint": "sha256:65b0da06f17b798c54e18fa824424905d241284f192a738990de5c97ad80e9e5", "generator_version": "3.0"}
{"id": "v3_test_id_00002406", "prompt": "What is -25 / (-706)?", "solution_steps": ["Divide: -25 / (-706) = 25/706"], "final_answer": "25/706", "answer_type": "rational", "kind": "expression", "math_text": "-25 / (-706)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": -706}", "seed": "8347531720762285655", "semantic_fingerprint": "sha256:1b2d52af2f89afff561f3c8baee1cc7db606edfb6d6d15e5ec22a8601ef44d4d", "generator_version": "3.0"}
{"id": "v3_test_id_00002407", "prompt": "Solve the equation 9(x + 40) = 2(x - 65) for x.", "solution_steps": ["Expand: 9x + 360 = 2(x - 65)", "Expand: 9x + 360 = 2x - 130", "Subtract 2x from both sides: 7x + 360 = -130", "Subtract 360 from both sides: 7x = -490", "Divide both sides by 7: x = -70"], "final_answer": "-70", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 40) = 2(x - 65)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 40, \"c\": 2, \"d\": 65}", "seed": "17210180508126767599", "semantic_fingerprint": "sha256:b2dd9e620fcb52cc787b66720a2a80ae7dc6094c1bfb169cfb107dc781e3f82a", "generator_version": "3.0"}
{"id": "v3_test_id_00002408", "prompt": "Calculate: -53 * 79 - (528 - (-39))", "solution_steps": ["Multiply: -53 * 79 = -4187", "Subtract: 528 - (-39) = 567", "Subtract: -4187 - 567 = -4754"], "final_answer": "-4754", "answer_type": "integer", "kind": "expression", "math_text": "-53 * 79 - (528 - (-39))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": 79, \"c\": 528, \"d\": -39}", "seed": "1816164193096723526", "semantic_fingerprint": "sha256:ee914fa9e9c15d871a5767bb5209f80ab92e8a746204e199664feba7b6f9da08", "generator_version": "3.0"}
{"id": "v3_test_id_00002409", "prompt": "Compute: 98 + 50 + (-2 + (-92)) * (-4)", "solution_steps": ["Add: 98 + 50 = 148", "Add: -2 + (-92) = -94", "Multiply: -94 * (-4) = 376", "Add: 148 + 376 = 524"], "final_answer": "524", "answer_type": "integer", "kind": "expression", "math_text": "98 + 50 + (-2 + (-92)) * (-4)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": 50, \"c\": -2, \"d\": -92, \"e\": -4}", "seed": "3778425224200595460", "semantic_fingerprint": "sha256:4e8bd61706af7242cd8970e69a46ec9791c30182c061f6bfc4add7b581966318", "generator_version": "3.0"}
{"id": "v3_test_id_00002410", "prompt": "Evaluate: -18 - (-33) + (85 - 17)", "solution_steps": ["Subtract: -18 - (-33) = 15", "Subtract: 85 - 17 = 68", "Add: 15 + 68 = 83"], "final_answer": "83", "answer_type": "integer", "kind": "expression", "math_text": "-18 - (-33) + (85 - 17)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": -33, \"c\": 85, \"d\": 17}", "seed": "4006370059950440834", "semantic_fingerprint": "sha256:dccb4f691c0516ddb9c3198e587d321d1b45ab954df5991e0b5de1dce6c3f116", "generator_version": "3.0"}
{"id": "v3_test_id_00002411", "prompt": "Calculate: 88 + (-8) / (-272)", "solution_steps": ["Divide: -8 / (-272) = 1/34", "Add: 88 + 1/34 = 2993/34"], "final_answer": "2993/34", "answer_type": "rational", "kind": "expression", "math_text": "88 + (-8) / (-272)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": -8, \"c\": -272}", "seed": "4720989459208252605", "semantic_fingerprint": "sha256:e89bba988eb243bf9887656bb3ebd65871ce2fe483dcc3546614ba18daafba4e", "generator_version": "3.0"}
{"id": "v3_test_id_00002412", "prompt": "What is 58 + (-97) / 32 * 355?", "solution_steps": ["Divide: -97 / 32 = -97/32", "Multiply: (-97/32) * 355 = -34435/32", "Add: 58 + (-34435/32) = -32579/32"], "final_answer": "-32579/32", "answer_type": "rational", "kind": "expression", "math_text": "58 + (-97) / 32 * 355", "variable": null, "family": "expression_3op", "shape": "(+ n (* (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": -97, \"c\": 32, \"d\": 355}", "seed": "6369131441247751385", "semantic_fingerprint": "sha256:6b0fdfaafdb242c473900fee27a82cbbb62cbe676670e59a914af00be770d160", "generator_version": "3.0"}
{"id": "v3_test_id_00002413", "prompt": "Compute: -33 - 47 + (80 - (-321)) / 542", "solution_steps": ["Subtract: -33 - 47 = -80", "Subtract: 80 - (-321) = 401", "Divide: 401 / 542 = 401/542", "Add: -80 + 401/542 = -42959/542"], "final_answer": "-42959/542", "answer_type": "rational", "kind": "expression", "math_text": "-33 - 47 + (80 - (-321)) / 542", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": 47, \"c\": 80, \"d\": -321, \"e\": 542}", "seed": "9578537114971283305", "semantic_fingerprint": "sha256:e098699b398c0bebd7722d459354e7279dc7bf98597bd3dbded9d2e0df2379ce", "generator_version": "3.0"}
{"id": "v3_test_id_00002414", "prompt": "Evaluate: -49 / 95 - (10 / 5 - (-4) * (-95))", "solution_steps": ["Divide: -49 / 95 = -49/95", "Divide: 10 / 5 = 2", "Multiply: -4 * (-95) = 380", "Subtract: 2 - 380 = -378", "Subtract: -49/95 - (-378) = 35861/95"], "final_answer": "35861/95", "answer_type": "rational", "kind": "expression", "math_text": "-49 / 95 - (10 / 5 - (-4) * (-95))", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (- (/ n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": 95, \"c\": 10, \"d\": 5, \"e\": -4, \"f\": -95}", "seed": "15883453013858705750", "semantic_fingerprint": "sha256:34e2eaa6320b09c2d52251aeff8d1fceac1b8d9c72a00e79210ec259d732bb70", "generator_version": "3.0"}
{"id": "v3_test_id_00002415", "prompt": "Calculate: -841 / ((306 + (-4)) / (675 / 8))", "solution_steps": ["Add: 306 + (-4) = 302", "Divide: 675 / 8 = 675/8", "Divide: 302 / (675/8) = 2416/675", "Divide: -841 / (2416/675) = -567675/2416"], "final_answer": "-567675/2416", "answer_type": "rational", "kind": "expression", "math_text": "-841 / ((306 + (-4)) / (675 / 8))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (+ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -841, \"b\": 306, \"c\": -4, \"d\": 675, \"e\": 8}", "seed": "16104018074335746401", "semantic_fingerprint": "sha256:160e58d0701b0d2bae387ee87cc8a1b10f54daa1adabf37f613563b8d486220f", "generator_version": "3.0"}
{"id": "v3_test_id_00002416", "prompt": "Compute: -65 / 6 * (-815 / (-90)) * (-89)", "solution_steps": ["Divide: -65 / 6 = -65/6", "Divide: -815 / (-90) = 163/18", "Multiply: (-65/6) * (163/18) = -10595/108", "Multiply: (-10595/108) * (-89) = 942955/108"], "final_answer": "942955/108", "answer_type": "rational", "kind": "expression", "math_text": "-65 / 6 * (-815 / (-90)) * (-89)", "variable": null, "family": "expression_4op", "shape": "(* (* (/ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": 6, \"c\": -815, \"d\": -90, \"e\": -89}", "seed": "3805211730695254357", "semantic_fingerprint": "sha256:b4500258b09a4fa1c17022f58083dc56c487dd1539dfb846f3641b797c0989e3", "generator_version": "3.0"}
{"id": "v3_test_id_00002417", "prompt": "Evaluate: -98 + (-4)", "solution_steps": ["Add: -98 + (-4) = -102"], "final_answer": "-102", "answer_type": "integer", "kind": "expression", "math_text": "-98 + (-4)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -98, \"b\": -4}", "seed": "3090669157303387352", "semantic_fingerprint": "sha256:20a42c6d6a87aeca4d6068054e7ccf3b26309ab30bf23ae26812756ec1355ac2", "generator_version": "3.0"}
{"id": "v3_test_id_00002418", "prompt": "Evaluate: -202 / (-9) + 57", "solution_steps": ["Divide: -202 / (-9) = 202/9", "Add: 202/9 + 57 = 715/9"], "final_answer": "715/9", "answer_type": "rational", "kind": "expression", "math_text": "-202 / (-9) + 57", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -202, \"b\": -9, \"c\": 57}", "seed": "18368520354782480794", "semantic_fingerprint": "sha256:bef5aa295ad07028510b5acacb6f704380cd37f372168dbeda1855fb53b88e98", "generator_version": "3.0"}
{"id": "v3_test_id_00002419", "prompt": "Evaluate: 92 / (-59) * (-4)", "solution_steps": ["Divide: 92 / (-59) = -92/59", "Multiply: (-92/59) * (-4) = 368/59"], "final_answer": "368/59", "answer_type": "rational", "kind": "expression", "math_text": "92 / (-59) * (-4)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": -59, \"c\": -4}", "seed": "14129676107226277023", "semantic_fingerprint": "sha256:9a657bfa1cc69dd1dbe35818fac408777da363f2e249e2670e0197217ae47ab5", "generator_version": "3.0"}
{"id": "v3_test_id_00002420", "prompt": "What is 5 - 5 / (-61)?", "solution_steps": ["Divide: 5 / (-61) = -5/61", "Subtract: 5 - (-5/61) = 310/61"], "final_answer": "310/61", "answer_type": "rational", "kind": "expression", "math_text": "5 - 5 / (-61)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 5, \"c\": -61}", "seed": "5467113919805213069", "semantic_fingerprint": "sha256:bc06008a1b5756353c5e773f77d4898ef516787bdbc937aa6d332df8b020af6d", "generator_version": "3.0"}
{"id": "v3_test_id_00002421", "prompt": "What is 42 / 9?", "solution_steps": ["Divide: 42 / 9 = 14/3"], "final_answer": "14/3", "answer_type": "rational", "kind": "expression", "math_text": "42 / 9", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": 9}", "seed": "11410328927375236277", "semantic_fingerprint": "sha256:d07f3cf0aa3a25c286e778ab71726a25bfae8eb7face2c93b3b68423137a72e0", "generator_version": "3.0"}
{"id": "v3_test_id_00002422", "prompt": "What is 84 - (848 + (-812) * (-83 / 99))?", "solution_steps": ["Divide: -83 / 99 = -83/99", "Multiply: -812 * (-83/99) = 67396/99", "Add: 848 + 67396/99 = 151348/99", "Subtract: 84 - 151348/99 = -143032/99"], "final_answer": "-143032/99", "answer_type": "rational", "kind": "expression", "math_text": "84 - (848 + (-812) * (-83 / 99))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (* n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": 848, \"c\": -812, \"d\": -83, \"e\": 99}", "seed": "18279029889183434322", "semantic_fingerprint": "sha256:d61f7c54cd8caab14d5ebb08c6b7383c93996a78d1195b814a969868428fa013", "generator_version": "3.0"}
{"id": "v3_test_id_00002423", "prompt": "Solve for x: 2(x + 5) - 93 = -6(x + 4)", "solution_steps": ["Expand: 2x + 10 - 93 = -6(x + 4)", "Expand: 2x + 10 - 93 = -6x - 24", "Combine constants: 2x - 83 = -6x - 24", "Add 6x to both sides: 8x - 83 = -24", "Add 83 to both sides: 8x = 59", "Divide both sides by 8: x = 59/8"], "final_answer": "59/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 5) - 93 = -6(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\": 5, \"c\": 93, \"d\": -6, \"e\": 4}", "seed": "13409776396337176335", "semantic_fingerprint": "sha256:fd5b3b007493320ea295f574b2052a30aa2621277d4e9c8b8a79e175007a9fd7", "generator_version": "3.0"}
{"id": "v3_test_id_00002424", "prompt": "Compute: -47 * 20 + 1", "solution_steps": ["Multiply: -47 * 20 = -940", "Add: -940 + 1 = -939"], "final_answer": "-939", "answer_type": "integer", "kind": "expression", "math_text": "-47 * 20 + 1", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": 20, \"c\": 1}", "seed": "9015171527194754730", "semantic_fingerprint": "sha256:a4c64d0b8f7478203aa09171967f304f7cfd3908968ef7a27e8de392b0646409", "generator_version": "3.0"}
{"id": "v3_test_id_00002425", "prompt": "Calculate: (-921 - 98) * ((94 + (-92) + (-2)) / 7)", "solution_steps": ["Subtract: -921 - 98 = -1019", "Add: 94 + (-92) = 2", "Add: 2 + (-2) = 0", "Divide: 0 / 7 = 0", "Multiply: -1019 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-921 - 98) * ((94 + (-92) + (-2)) / 7)", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (/ (+ (+ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -921, \"b\": 98, \"c\": 94, \"d\": -92, \"e\": -2, \"f\": 7}", "seed": "813301782975340676", "semantic_fingerprint": "sha256:b5ebd5b097100ffd5073026b62955115332103b18c3f256c4543949fa7061705", "generator_version": "3.0"}
{"id": "v3_test_id_00002426", "prompt": "Compute: 48 / (-5)", "solution_steps": ["Divide: 48 / (-5) = -48/5"], "final_answer": "-48/5", "answer_type": "rational", "kind": "expression", "math_text": "48 / (-5)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": -5}", "seed": "2855078266356592231", "semantic_fingerprint": "sha256:a083877dc2424ead3c1d0e40ee349b8babdb802af21bb7d818109160a83920c0", "generator_version": "3.0"}
{"id": "v3_test_id_00002427", "prompt": "Calculate: (-81 - 589) * (-7 + (-99))", "solution_steps": ["Subtract: -81 - 589 = -670", "Add: -7 + (-99) = -106", "Multiply: -670 * (-106) = 71020"], "final_answer": "71020", "answer_type": "integer", "kind": "expression", "math_text": "(-81 - 589) * (-7 + (-99))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": 589, \"c\": -7, \"d\": -99}", "seed": "17224354637723718321", "semantic_fingerprint": "sha256:d2aabc93ac53d44a7e35f997e8b1cf9180a7a05900509c8779a260d067bbde84", "generator_version": "3.0"}
{"id": "v3_test_id_00002428", "prompt": "Evaluate: 6 + 0 / 6 * 8", "solution_steps": ["Divide: 0 / 6 = 0", "Multiply: 0 * 8 = 0", "Add: 6 + 0 = 6"], "final_answer": "6", "answer_type": "integer", "kind": "expression", "math_text": "6 + 0 / 6 * 8", "variable": null, "family": "expression_3op", "shape": "(+ n (* (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 0, \"c\": 6, \"d\": 8}", "seed": "3823335548308790205", "semantic_fingerprint": "sha256:30476d310ed55e1c6fc06086e6d8dffd63afe62d47e505f514f5905bcf7c5e6a", "generator_version": "3.0"}
{"id": "v3_test_id_00002429", "prompt": "Compute: 51 / 32", "solution_steps": ["Divide: 51 / 32 = 51/32"], "final_answer": "51/32", "answer_type": "rational", "kind": "expression", "math_text": "51 / 32", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 32}", "seed": "2192939252361291082", "semantic_fingerprint": "sha256:05ec65f5f23824bddc5b45d562d494bc875604c9ff6474a7742bb9bf3c2b7eba", "generator_version": "3.0"}
{"id": "v3_test_id_00002430", "prompt": "Solve the equation 7x + 30 = x for x.", "solution_steps": ["Subtract x from both sides: 6x + 30 = 0", "Subtract 30 from both sides: 6x = -30", "Divide both sides by 6: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 30 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"c\": 30, \"x\": -5}", "seed": "11973542312024864711", "semantic_fingerprint": "sha256:16413c2863b572177d8ac077ac20f8a9723b763bb3eba03adc704e0beba67211", "generator_version": "3.0"}
{"id": "v3_test_id_00002431", "prompt": "Evaluate: -580 * (-67 + 465)", "solution_steps": ["Add: -67 + 465 = 398", "Multiply: -580 * 398 = -230840"], "final_answer": "-230840", "answer_type": "integer", "kind": "expression", "math_text": "-580 * (-67 + 465)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -580, \"b\": -67, \"c\": 465}", "seed": "7520651033956055671", "semantic_fingerprint": "sha256:1ccca4381bbb69fc76a68c4c82adc0dfe352446540a21e6e7027725f5fbf5e9c", "generator_version": "3.0"}
{"id": "v3_test_id_00002432", "prompt": "Compute: -6 * (-114)", "solution_steps": ["Multiply: -6 * (-114) = 684"], "final_answer": "684", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-114)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -114}", "seed": "911131773879013540", "semantic_fingerprint": "sha256:f77e2f0ffbad43faac441d3bd280e7e2f8562271182db95ea0854b2a722058c0", "generator_version": "3.0"}
{"id": "v3_test_id_00002433", "prompt": "Solve for x: -6x - 2 = -3(x - 50) - 107", "solution_steps": ["Expand: -6x - 2 = -3x + 150 - 107", "Combine constants: -6x - 2 = -3x + 43", "Add 3x to both sides: -3x - 2 = 43", "Add 2 to both sides: -3x = 45", "Divide both sides by -3: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x - 2 = -3(x - 50) - 107", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 2, \"c\": -3, \"d\": 50, \"f\": -107, \"x\": -15}", "seed": "5609766843459533567", "semantic_fingerprint": "sha256:ab3eb73668e265a87eafbaf65b29c5b4aaa79f07582c1a3724b1730c4382c7bc", "generator_version": "3.0"}
{"id": "v3_test_id_00002434", "prompt": "What is 75 * (75 / ((96 + 56) / (-6 / 5)))?", "solution_steps": ["Add: 96 + 56 = 152", "Divide: -6 / 5 = -6/5", "Divide: 152 / (-6/5) = -380/3", "Divide: 75 / (-380/3) = -45/76", "Multiply: 75 * (-45/76) = -3375/76"], "final_answer": "-3375/76", "answer_type": "rational", "kind": "expression", "math_text": "75 * (75 / ((96 + 56) / (-6 / 5)))", "variable": null, "family": "expression_5op", "shape": "(* n (/ n (/ (+ n n) (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 75, \"c\": 96, \"d\": 56, \"e\": -6, \"f\": 5}", "seed": "12915778052480483902", "semantic_fingerprint": "sha256:5e1ec0f8bf750463f5d746aa2b5a034ad4a46c933f027ed8206c952eeefe0b40", "generator_version": "3.0"}
{"id": "v3_test_id_00002435", "prompt": "Calculate: -934 - 8", "solution_steps": ["Subtract: -934 - 8 = -942"], "final_answer": "-942", "answer_type": "integer", "kind": "expression", "math_text": "-934 - 8", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -934, \"b\": 8}", "seed": "5596346059888704284", "semantic_fingerprint": "sha256:3c17e25dd6e1de115d6af06939743b15e2ec863989924dd0799300fac33e871b", "generator_version": "3.0"}
{"id": "v3_test_id_00002436", "prompt": "Solve the equation -11x = 9x for x.", "solution_steps": ["Subtract 9x from both sides: -20x = 0", "Divide both sides by -20: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x = 9x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 9}", "seed": "14149358865835727535", "semantic_fingerprint": "sha256:f3fa828ce1a944159f617c627397cdb7078741710eebb2c12b083fdf07ad91aa", "generator_version": "3.0"}
{"id": "v3_test_id_00002437", "prompt": "What value of x satisfies 6(x + 1) - 835 = -12(x + 67)?", "solution_steps": ["Expand: 6x + 6 - 835 = -12(x + 67)", "Expand: 6x + 6 - 835 = -12x - 804", "Combine constants: 6x - 829 = -12x - 804", "Add 12x to both sides: 18x - 829 = -804", "Add 829 to both sides: 18x = 25", "Divide both sides by 18: x = 25/18"], "final_answer": "25/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 1) - 835 = -12(x + 67)", "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\": 835, \"d\": -12, \"e\": 67}", "seed": "12664525207759146097", "semantic_fingerprint": "sha256:e58b2a4f540f3b420992aa902432e31110130ea94cbdf91ed72509a8e8e21a03", "generator_version": "3.0"}
{"id": "v3_test_id_00002438", "prompt": "Solve for x: -11(x - 4) + 254 = x", "solution_steps": ["Expand: -11x + 44 + 254 = x", "Combine constants: -11x + 298 = x", "Subtract x from both sides: -12x + 298 = 0", "Subtract 298 from both sides: -12x = -298", "Divide both sides by -12: x = 149/6"], "final_answer": "149/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 4) + 254 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 4, \"c\": 254}", "seed": "7269968081211951332", "semantic_fingerprint": "sha256:5ccdf1cc842f83db80f75de8ce3ee31f3154a867208fca1f40111cea644951d6", "generator_version": "3.0"}
{"id": "v3_test_id_00002439", "prompt": "Compute: -8 - 45 + 9", "solution_steps": ["Subtract: -8 - 45 = -53", "Add: -53 + 9 = -44"], "final_answer": "-44", "answer_type": "integer", "kind": "expression", "math_text": "-8 - 45 + 9", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 45, \"c\": 9}", "seed": "16103573923972868569", "semantic_fingerprint": "sha256:e7f248dc222ac143109a866f7d9e2d9d78577612ac3b438e3f16df324dfd037d", "generator_version": "3.0"}
{"id": "v3_test_id_00002440", "prompt": "Evaluate: -72 * (92 + (29 + (-9)))", "solution_steps": ["Add: 29 + (-9) = 20", "Add: 92 + 20 = 112", "Multiply: -72 * 112 = -8064"], "final_answer": "-8064", "answer_type": "integer", "kind": "expression", "math_text": "-72 * (92 + (29 + (-9)))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": 92, \"c\": 29, \"d\": -9}", "seed": "13694209399341811564", "semantic_fingerprint": "sha256:8a00840e191a82498879410764b6a6872e2deb8a2d49b93ce543d685b2fd5ff2", "generator_version": "3.0"}
{"id": "v3_test_id_00002441", "prompt": "Solve for x: 7x + 8 = 5(x - 5) - 5", "solution_steps": ["Expand: 7x + 8 = 5x - 25 - 5", "Combine constants: 7x + 8 = 5x - 30", "Subtract 5x from both sides: 2x + 8 = -30", "Subtract 8 from both sides: 2x = -38", "Divide both sides by 2: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 8 = 5(x - 5) - 5", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": 5, \"d\": 5, \"f\": -5, \"x\": -19}", "seed": "5764367328710361017", "semantic_fingerprint": "sha256:184953d62ff8f7d48c585773f525a5c8f9ef800dada7f394e5bca369ea23ef5b", "generator_version": "3.0"}
{"id": "v3_test_id_00002442", "prompt": "What is -16 - (-593)?", "solution_steps": ["Subtract: -16 - (-593) = 577"], "final_answer": "577", "answer_type": "integer", "kind": "expression", "math_text": "-16 - (-593)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": -593}", "seed": "12625876265419062574", "semantic_fingerprint": "sha256:b3372cd220e46e8a11eba40c8b3ad5f6de0037852ac1f94895289a7decaef8ae", "generator_version": "3.0"}
{"id": "v3_test_id_00002443", "prompt": "Solve for x: -9x = x - 30", "solution_steps": ["Subtract x from both sides: -10x = -30", "Divide both sides by -10: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x = x - 30", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"c\": -30, \"x\": 3}", "seed": "919471107610095987", "semantic_fingerprint": "sha256:0b5b34e76a72f8ecdee5d104d6cccf354d782ab69959a017ab8877ade9274e05", "generator_version": "3.0"}
{"id": "v3_test_id_00002444", "prompt": "Calculate: 875 + 50 * (-3) / (-7)", "solution_steps": ["Multiply: 50 * (-3) = -150", "Divide: -150 / (-7) = 150/7", "Add: 875 + 150/7 = 6275/7"], "final_answer": "6275/7", "answer_type": "rational", "kind": "expression", "math_text": "875 + 50 * (-3) / (-7)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 875, \"b\": 50, \"c\": -3, \"d\": -7}", "seed": "3183836796566858830", "semantic_fingerprint": "sha256:23bf940f793f83d34af64fe592f1b3aae760ddf099f7b03664dd619e9672af30", "generator_version": "3.0"}
{"id": "v3_test_id_00002445", "prompt": "Find x: -9x + 2 = x + 202", "solution_steps": ["Subtract x from both sides: -10x + 2 = 202", "Subtract 2 from both sides: -10x = 200", "Divide both sides by -10: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x + 2 = x + 202", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 2, \"d\": 202, \"x\": -20}", "seed": "3915568287665123267", "semantic_fingerprint": "sha256:2db8b4578e1fba65251dcdc72c2996a35dd8cae95ef85f8de958298d1e8f29e2", "generator_version": "3.0"}
{"id": "v3_test_id_00002446", "prompt": "Compute: -670 + ((-280 - 5) * 194 + 20 * (-15))", "solution_steps": ["Subtract: -280 - 5 = -285", "Multiply: -285 * 194 = -55290", "Multiply: 20 * (-15) = -300", "Add: -55290 + (-300) = -55590", "Add: -670 + (-55590) = -56260"], "final_answer": "-56260", "answer_type": "integer", "kind": "expression", "math_text": "-670 + ((-280 - 5) * 194 + 20 * (-15))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (* (- n n) n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -670, \"b\": -280, \"c\": 5, \"d\": 194, \"e\": 20, \"f\": -15}", "seed": "707787413488092489", "semantic_fingerprint": "sha256:c790dbdc468ccd24a5d69656285ce71a951426433010dc3e33dfe4c27a79c6ea", "generator_version": "3.0"}
{"id": "v3_test_id_00002447", "prompt": "Calculate: 6 + (-846 - (-77) + (-22) - (-8)) / 41", "solution_steps": ["Subtract: -846 - (-77) = -769", "Add: -769 + (-22) = -791", "Subtract: -791 - (-8) = -783", "Divide: -783 / 41 = -783/41", "Add: 6 + (-783/41) = -537/41"], "final_answer": "-537/41", "answer_type": "rational", "kind": "expression", "math_text": "6 + (-846 - (-77) + (-22) - (-8)) / 41", "variable": null, "family": "expression_5op", "shape": "(+ n (/ (- (+ (- n n) n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -846, \"c\": -77, \"d\": -22, \"e\": -8, \"f\": 41}", "seed": "17954859547332913108", "semantic_fingerprint": "sha256:4b5c9505e0ec1e0d6a6bf60a822ab9d14196880c727e51aa3722633096f9aa26", "generator_version": "3.0"}
{"id": "v3_test_id_00002448", "prompt": "Evaluate: (98 - 8) * 81 / 349", "solution_steps": ["Subtract: 98 - 8 = 90", "Multiply: 90 * 81 = 7290", "Divide: 7290 / 349 = 7290/349"], "final_answer": "7290/349", "answer_type": "rational", "kind": "expression", "math_text": "(98 - 8) * 81 / 349", "variable": null, "family": "expression_3op", "shape": "(/ (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": 8, \"c\": 81, \"d\": 349}", "seed": "13028151925355540488", "semantic_fingerprint": "sha256:0849536c0cd4f3670b5059ea8f4b4dc512f0ed6c378f16038fbab5a16f6bbb95", "generator_version": "3.0"}
{"id": "v3_test_id_00002449", "prompt": "Evaluate: -6 / (-135 / (-40 - 81))", "solution_steps": ["Subtract: -40 - 81 = -121", "Divide: -135 / (-121) = 135/121", "Divide: -6 / (135/121) = -242/45"], "final_answer": "-242/45", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-135 / (-40 - 81))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -135, \"c\": -40, \"d\": 81}", "seed": "9845638189747957149", "semantic_fingerprint": "sha256:3a035c055ab691a223238a3cf0ddde8b23c973e1cda66f6998132d317d780332", "generator_version": "3.0"}
{"id": "v3_test_id_00002450", "prompt": "What value of x satisfies -11(x + 4) + 5 = 3(x - 7) - 284?", "solution_steps": ["Expand: -11x - 44 + 5 = 3(x - 7) - 284", "Expand: -11x - 44 + 5 = 3x - 21 - 284", "Combine constants: -11x - 39 = 3x - 21 - 284", "Combine constants: -11x - 39 = 3x - 305", "Subtract 3x from both sides: -14x - 39 = -305", "Add 39 to both sides: -14x = -266", "Divide both sides by -14: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 4) + 5 = 3(x - 7) - 284", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 4, \"c\": 5, \"d\": 3, \"e\": 7, \"g\": -284, \"x\": 19}", "seed": "6396091236104017801", "semantic_fingerprint": "sha256:c84f051123c7e66713ddc3ddcc3e697d86512206b3d1ee014af9588d1f9ddb64", "generator_version": "3.0"}
{"id": "v3_test_id_00002451", "prompt": "Solve the equation 3x = 2(x - 63) + 110 for x.", "solution_steps": ["Expand: 3x = 2x - 126 + 110", "Combine constants: 3x = 2x - 16", "Subtract 2x from both sides: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 2(x - 63) + 110", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": 63, \"e\": 110, \"x\": -16}", "seed": "6948348827256329070", "semantic_fingerprint": "sha256:5462630cfdda8c698912bfb850795fa6732201f0cd21846b11503bae984e64f0", "generator_version": "3.0"}
{"id": "v3_test_id_00002452", "prompt": "Solve the equation x + 55 = 3(x + 25) for x.", "solution_steps": ["Expand: x + 55 = 3x + 75", "Subtract 3x from both sides: -2x + 55 = 75", "Subtract 55 from both sides: -2x = 20", "Divide both sides by -2: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 55 = 3(x + 25)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 25, \"d\": 55, \"x\": -10}", "seed": "15323523871384913474", "semantic_fingerprint": "sha256:0a7fc86eeeaa74ca8a2abdc429a2dc25c808ba325b98c40642c75051a176ffd4", "generator_version": "3.0"}
{"id": "v3_test_id_00002453", "prompt": "Calculate: -476 + (84 + (-17))", "solution_steps": ["Add: 84 + (-17) = 67", "Add: -476 + 67 = -409"], "final_answer": "-409", "answer_type": "integer", "kind": "expression", "math_text": "-476 + (84 + (-17))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -476, \"b\": 84, \"c\": -17}", "seed": "4196790325032894544", "semantic_fingerprint": "sha256:d10838b819e7fa4dab8dc70cf870379d5996663179952d77ad69ead046d5c466", "generator_version": "3.0"}
{"id": "v3_test_id_00002454", "prompt": "Evaluate: (-29 - (-174)) * 38 / (-9 * (3 + (-58)))", "solution_steps": ["Subtract: -29 - (-174) = 145", "Multiply: 145 * 38 = 5510", "Add: 3 + (-58) = -55", "Multiply: -9 * (-55) = 495", "Divide: 5510 / 495 = 1102/99"], "final_answer": "1102/99", "answer_type": "rational", "kind": "expression", "math_text": "(-29 - (-174)) * 38 / (-9 * (3 + (-58)))", "variable": null, "family": "expression_5op", "shape": "(/ (* (- n n) n) (* n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": -174, \"c\": 38, \"d\": -9, \"e\": 3, \"f\": -58}", "seed": "15543576953448911459", "semantic_fingerprint": "sha256:a80501830264ff8f0553ab6de24a459d646a4c2c19c8bb876204fa745ff163e0", "generator_version": "3.0"}
{"id": "v3_test_id_00002455", "prompt": "Compute: (-9 / (-3) + (-74) - (3 - 23)) * 72", "solution_steps": ["Divide: -9 / (-3) = 3", "Add: 3 + (-74) = -71", "Subtract: 3 - 23 = -20", "Subtract: -71 - (-20) = -51", "Multiply: -51 * 72 = -3672"], "final_answer": "-3672", "answer_type": "integer", "kind": "expression", "math_text": "(-9 / (-3) + (-74) - (3 - 23)) * 72", "variable": null, "family": "expression_5op", "shape": "(* (- (+ (/ n n) n) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -3, \"c\": -74, \"d\": 3, \"e\": 23, \"f\": 72}", "seed": "14756956099121040748", "semantic_fingerprint": "sha256:a422b74d2f2f1c81d5c40771c80a5acd5c994614a6a6af63fa3a04c7f0adba8b", "generator_version": "3.0"}
{"id": "v3_test_id_00002456", "prompt": "Calculate: 120 + 8 / 7 - (-626 - (-492))", "solution_steps": ["Divide: 8 / 7 = 8/7", "Add: 120 + 8/7 = 848/7", "Subtract: -626 - (-492) = -134", "Subtract: 848/7 - (-134) = 1786/7"], "final_answer": "1786/7", "answer_type": "rational", "kind": "expression", "math_text": "120 + 8 / 7 - (-626 - (-492))", "variable": null, "family": "expression_4op", "shape": "(- (+ n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 120, \"b\": 8, \"c\": 7, \"d\": -626, \"e\": -492}", "seed": "9000646932167477736", "semantic_fingerprint": "sha256:9e3c7a7e90441d7f66d50780e3f1d9c10010cc55311698df27b5a266414c339d", "generator_version": "3.0"}
{"id": "v3_test_id_00002457", "prompt": "Find x: x - 306 = 4(x - 13) - 8", "solution_steps": ["Expand: x - 306 = 4x - 52 - 8", "Combine constants: x - 306 = 4x - 60", "Subtract 4x from both sides: -3x - 306 = -60", "Add 306 to both sides: -3x = 246", "Divide both sides by -3: x = -82"], "final_answer": "-82", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 306 = 4(x - 13) - 8", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 306, \"b\": 4, \"c\": 13, \"d\": 8}", "seed": "15248327942830214181", "semantic_fingerprint": "sha256:3c9dcb36030a6ca066d9835661b7ed9f5d8eb6f75ef6f149d08caecc571743c5", "generator_version": "3.0"}
{"id": "v3_test_id_00002458", "prompt": "Evaluate: 2 - 17 / (-80) * (-5) + 1", "solution_steps": ["Divide: 17 / (-80) = -17/80", "Multiply: (-17/80) * (-5) = 17/16", "Subtract: 2 - 17/16 = 15/16", "Add: 15/16 + 1 = 31/16"], "final_answer": "31/16", "answer_type": "rational", "kind": "expression", "math_text": "2 - 17 / (-80) * (-5) + 1", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 17, \"c\": -80, \"d\": -5, \"e\": 1}", "seed": "1428314064522390266", "semantic_fingerprint": "sha256:0e6087ff1f57519a2ac06295a58ee27ceac2b16e10de901f1ca651a3baeefa5f", "generator_version": "3.0"}
{"id": "v3_test_id_00002459", "prompt": "Calculate: 9 + (-250) + 97 / 1", "solution_steps": ["Add: 9 + (-250) = -241", "Divide: 97 / 1 = 97", "Add: -241 + 97 = -144"], "final_answer": "-144", "answer_type": "integer", "kind": "expression", "math_text": "9 + (-250) + 97 / 1", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -250, \"c\": 97, \"d\": 1}", "seed": "4704288635814829749", "semantic_fingerprint": "sha256:0069c9a677905cf0625a693fd884a6de570857c71c26bb0273ba2301dc8a2d9c", "generator_version": "3.0"}
{"id": "v3_test_id_00002460", "prompt": "What is -82 - (-1) * (963 * 638)?", "solution_steps": ["Multiply: 963 * 638 = 614394", "Multiply: -1 * 614394 = -614394", "Subtract: -82 - (-614394) = 614312"], "final_answer": "614312", "answer_type": "integer", "kind": "expression", "math_text": "-82 - (-1) * (963 * 638)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -82, \"b\": -1, \"c\": 963, \"d\": 638}", "seed": "6422737906133491464", "semantic_fingerprint": "sha256:b9bbecb8f008c497aabf37d243cd5314c61f0edba90d5b78b60c2e1f7e3e804a", "generator_version": "3.0"}
{"id": "v3_test_id_00002461", "prompt": "Calculate: -3 - (-6) + 55 * 16 / (-3)", "solution_steps": ["Subtract: -3 - (-6) = 3", "Multiply: 55 * 16 = 880", "Divide: 880 / (-3) = -880/3", "Add: 3 + (-880/3) = -871/3"], "final_answer": "-871/3", "answer_type": "rational", "kind": "expression", "math_text": "-3 - (-6) + 55 * 16 / (-3)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -6, \"c\": 55, \"d\": 16, \"e\": -3}", "seed": "2704031151744947810", "semantic_fingerprint": "sha256:e8750df9338709a45c218a609935f5b78fded10079853b3008a2666f3ecb7e74", "generator_version": "3.0"}
{"id": "v3_test_id_00002462", "prompt": "Calculate: (0 - 635) * 9", "solution_steps": ["Subtract: 0 - 635 = -635", "Multiply: -635 * 9 = -5715"], "final_answer": "-5715", "answer_type": "integer", "kind": "expression", "math_text": "(0 - 635) * 9", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 635, \"c\": 9}", "seed": "12567329118690862047", "semantic_fingerprint": "sha256:4be7b1bbbdc4f688af4a7274dac7afa04414646fa8521e92a4bc599a0f77dce7", "generator_version": "3.0"}
{"id": "v3_test_id_00002463", "prompt": "Compute: (-536 + (-9)) / 7", "solution_steps": ["Add: -536 + (-9) = -545", "Divide: -545 / 7 = -545/7"], "final_answer": "-545/7", "answer_type": "rational", "kind": "expression", "math_text": "(-536 + (-9)) / 7", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -536, \"b\": -9, \"c\": 7}", "seed": "3458102938274730838", "semantic_fingerprint": "sha256:ca101e3618dd3a98fb0367c8f28f490310686705d9a8dfd270a585de054426d7", "generator_version": "3.0"}
{"id": "v3_test_id_00002464", "prompt": "Evaluate: (-303 - 77) * 51 - 66", "solution_steps": ["Subtract: -303 - 77 = -380", "Multiply: -380 * 51 = -19380", "Subtract: -19380 - 66 = -19446"], "final_answer": "-19446", "answer_type": "integer", "kind": "expression", "math_text": "(-303 - 77) * 51 - 66", "variable": null, "family": "expression_3op", "shape": "(- (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -303, \"b\": 77, \"c\": 51, \"d\": 66}", "seed": "12964447147968589332", "semantic_fingerprint": "sha256:de0a48509273d8832855a008d06ae66fbf4c3dc6c9aa1fe5f112cad973090477", "generator_version": "3.0"}
{"id": "v3_test_id_00002465", "prompt": "Calculate: (654 - (-28)) * (-6)", "solution_steps": ["Subtract: 654 - (-28) = 682", "Multiply: 682 * (-6) = -4092"], "final_answer": "-4092", "answer_type": "integer", "kind": "expression", "math_text": "(654 - (-28)) * (-6)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 654, \"b\": -28, \"c\": -6}", "seed": "18288428618398451339", "semantic_fingerprint": "sha256:9148a447fc61ea8d18433e8f8035a4459d30c370e742ee453fe99c0d22082095", "generator_version": "3.0"}
{"id": "v3_test_id_00002466", "prompt": "Evaluate: 10 / (-58) - (3 + 2) + (-85 - 669)", "solution_steps": ["Divide: 10 / (-58) = -5/29", "Add: 3 + 2 = 5", "Subtract: -5/29 - 5 = -150/29", "Subtract: -85 - 669 = -754", "Add: -150/29 + (-754) = -22016/29"], "final_answer": "-22016/29", "answer_type": "rational", "kind": "expression", "math_text": "10 / (-58) - (3 + 2) + (-85 - 669)", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ n n) (+ n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -58, \"c\": 3, \"d\": 2, \"e\": -85, \"f\": 669}", "seed": "8740839469755792331", "semantic_fingerprint": "sha256:39a1b38c73551cdb96238c133f9d838d0b45bb8b56d6422ae4dcc15c8e26d8c5", "generator_version": "3.0"}
{"id": "v3_test_id_00002467", "prompt": "What is -1 - 844?", "solution_steps": ["Subtract: -1 - 844 = -845"], "final_answer": "-845", "answer_type": "integer", "kind": "expression", "math_text": "-1 - 844", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 844}", "seed": "2112095973461480914", "semantic_fingerprint": "sha256:2e31504e5e94acd6020a5ec1dd0709365dae08a91be5ed517931ffcaf0335aa8", "generator_version": "3.0"}
{"id": "v3_test_id_00002468", "prompt": "Calculate: (847 + 760) * (-82 - 2)", "solution_steps": ["Add: 847 + 760 = 1607", "Subtract: -82 - 2 = -84", "Multiply: 1607 * (-84) = -134988"], "final_answer": "-134988", "answer_type": "integer", "kind": "expression", "math_text": "(847 + 760) * (-82 - 2)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 847, \"b\": 760, \"c\": -82, \"d\": 2}", "seed": "12007892781157919135", "semantic_fingerprint": "sha256:518c3e59ffd76d89b3396b31e2f5bd1c6b7641a34621f9c170d84737d1dd36ba", "generator_version": "3.0"}
{"id": "v3_test_id_00002469", "prompt": "Compute: -62 / (-1)", "solution_steps": ["Divide: -62 / (-1) = 62"], "final_answer": "62", "answer_type": "integer", "kind": "expression", "math_text": "-62 / (-1)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": -1}", "seed": "14951565156416344783", "semantic_fingerprint": "sha256:b15c1ac5c3fa031744e0eaf4f65a3aa506a849f7d99a2c9c77cb563156b8698c", "generator_version": "3.0"}
{"id": "v3_test_id_00002470", "prompt": "What is -66 * (617 + (-434))?", "solution_steps": ["Add: 617 + (-434) = 183", "Multiply: -66 * 183 = -12078"], "final_answer": "-12078", "answer_type": "integer", "kind": "expression", "math_text": "-66 * (617 + (-434))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": 617, \"c\": -434}", "seed": "250383178494983365", "semantic_fingerprint": "sha256:664a0235c5dae048f31c4f20f02facf0e80040d0cd64f58b5849d850a680b91a", "generator_version": "3.0"}
{"id": "v3_test_id_00002471", "prompt": "Evaluate: -3 + 52 / 4", "solution_steps": ["Divide: 52 / 4 = 13", "Add: -3 + 13 = 10"], "final_answer": "10", "answer_type": "integer", "kind": "expression", "math_text": "-3 + 52 / 4", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 52, \"c\": 4}", "seed": "8535341038741525142", "semantic_fingerprint": "sha256:584de1f05fdf9f9fc1571382670fff8843c8225ba5628d38b169407d7fabf954", "generator_version": "3.0"}
{"id": "v3_test_id_00002472", "prompt": "Find x: 7x + 5 = 4x - 83", "solution_steps": ["Subtract 4x from both sides: 3x + 5 = -83", "Subtract 5 from both sides: 3x = -88", "Divide both sides by 3: x = -88/3"], "final_answer": "-88/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x + 5 = 4x - 83", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 4, \"d\": 83}", "seed": "14037080705992168668", "semantic_fingerprint": "sha256:7da87df9724419a1b4c0611fa6e75fa999d4ea75d0f6e130601aeccae6a81451", "generator_version": "3.0"}
{"id": "v3_test_id_00002473", "prompt": "Calculate: (94 - 1) / (-4 / 86)", "solution_steps": ["Subtract: 94 - 1 = 93", "Divide: -4 / 86 = -2/43", "Divide: 93 / (-2/43) = -3999/2"], "final_answer": "-3999/2", "answer_type": "rational", "kind": "expression", "math_text": "(94 - 1) / (-4 / 86)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": 1, \"c\": -4, \"d\": 86}", "seed": "5266278305213905103", "semantic_fingerprint": "sha256:a014f79282741bc27503d3ced0cda9a2fc72349121ccf294dffb589d79719e22", "generator_version": "3.0"}
{"id": "v3_test_id_00002474", "prompt": "Evaluate: -90 - (7 + (-295 * (-32) - (-30)))", "solution_steps": ["Multiply: -295 * (-32) = 9440", "Subtract: 9440 - (-30) = 9470", "Add: 7 + 9470 = 9477", "Subtract: -90 - 9477 = -9567"], "final_answer": "-9567", "answer_type": "integer", "kind": "expression", "math_text": "-90 - (7 + (-295 * (-32) - (-30)))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (- (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": 7, \"c\": -295, \"d\": -32, \"e\": -30}", "seed": "1872688050926580850", "semantic_fingerprint": "sha256:b80f1ccaa3c11b20054b5bac8b5a68a0f3c63aab50daff6528d941aa64068d92", "generator_version": "3.0"}
{"id": "v3_test_id_00002475", "prompt": "Compute: 3 - (-115)", "solution_steps": ["Subtract: 3 - (-115) = 118"], "final_answer": "118", "answer_type": "integer", "kind": "expression", "math_text": "3 - (-115)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -115}", "seed": "12111362987227316401", "semantic_fingerprint": "sha256:eb536b70ca8ea2b38e6721395d49e12698a4fd0e1510de0ffef13527bbcb98fd", "generator_version": "3.0"}
{"id": "v3_test_id_00002476", "prompt": "Calculate: (0 - 2) / (-30)", "solution_steps": ["Subtract: 0 - 2 = -2", "Divide: -2 / (-30) = 1/15"], "final_answer": "1/15", "answer_type": "rational", "kind": "expression", "math_text": "(0 - 2) / (-30)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 2, \"c\": -30}", "seed": "3662085675958055344", "semantic_fingerprint": "sha256:bd911955961ea463888cedffb7331aaf216702abd0f8f58d5bc11b5716f52601", "generator_version": "3.0"}
{"id": "v3_test_id_00002477", "prompt": "Calculate: 66 + 46 - (-16 - 3)", "solution_steps": ["Add: 66 + 46 = 112", "Subtract: -16 - 3 = -19", "Subtract: 112 - (-19) = 131"], "final_answer": "131", "answer_type": "integer", "kind": "expression", "math_text": "66 + 46 - (-16 - 3)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": 46, \"c\": -16, \"d\": 3}", "seed": "15643864647875734491", "semantic_fingerprint": "sha256:cead742680e80c6084e674800f10aa4a312e479b5fd3ec2bcf144f08f094857d", "generator_version": "3.0"}
{"id": "v3_test_id_00002478", "prompt": "Calculate: 379 - (-4) - (-25) / 73", "solution_steps": ["Subtract: 379 - (-4) = 383", "Divide: -25 / 73 = -25/73", "Subtract: 383 - (-25/73) = 27984/73"], "final_answer": "27984/73", "answer_type": "rational", "kind": "expression", "math_text": "379 - (-4) - (-25) / 73", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 379, \"b\": -4, \"c\": -25, \"d\": 73}", "seed": "828054108979884531", "semantic_fingerprint": "sha256:08708c23198fc326140302c0793bb53be7ad1c4f76786defe348baea9b0258e5", "generator_version": "3.0"}
{"id": "v3_test_id_00002479", "prompt": "What value of x satisfies -9x = -6(x - 98)?", "solution_steps": ["Expand: -9x = -6x + 588", "Add 6x to both sides: -3x = 588", "Divide both sides by -3: x = -196"], "final_answer": "-196", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x = -6(x - 98)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -6, \"c\": 98}", "seed": "13184894967755697209", "semantic_fingerprint": "sha256:6aa52964211f5fbcfa7635cdaa49dfcc6d23d467d3652416bdf1de9b92f46e1c", "generator_version": "3.0"}
{"id": "v3_test_id_00002480", "prompt": "Calculate: -51 + (-19)", "solution_steps": ["Add: -51 + (-19) = -70"], "final_answer": "-70", "answer_type": "integer", "kind": "expression", "math_text": "-51 + (-19)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": -19}", "seed": "10569070035007563400", "semantic_fingerprint": "sha256:3531f7d6b85089af3e399c827298b292628b8c5ecc6d11afce034380d26b754e", "generator_version": "3.0"}
{"id": "v3_test_id_00002481", "prompt": "Solve the equation 9x + 6 = -66 for x.", "solution_steps": ["Subtract 6 from both sides: 9x = -72", "Divide both sides by 9: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x + 6 = -66", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 6, \"d\": -66, \"x\": -8}", "seed": "17587721558920114963", "semantic_fingerprint": "sha256:c45e75633ae3e371455bb6292e07dfac5b5703b67ada99897814f2721d465597", "generator_version": "3.0"}
{"id": "v3_test_id_00002482", "prompt": "Find x: 3(x - 7) + 35 = x + 8", "solution_steps": ["Expand: 3x - 21 + 35 = x + 8", "Combine constants: 3x + 14 = x + 8", "Subtract x from both sides: 2x + 14 = 8", "Subtract 14 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 - 7) + 35 = x + 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": 35, \"d\": 8}", "seed": "3863564151300200019", "semantic_fingerprint": "sha256:96ba1b159c2e066cbc1cdb5a6cef4299b01f0d66e45a2c05cdbfcd271a8d1360", "generator_version": "3.0"}
{"id": "v3_test_id_00002483", "prompt": "Compute: (-643 - (27 + 4)) / 45", "solution_steps": ["Add: 27 + 4 = 31", "Subtract: -643 - 31 = -674", "Divide: -674 / 45 = -674/45"], "final_answer": "-674/45", "answer_type": "rational", "kind": "expression", "math_text": "(-643 - (27 + 4)) / 45", "variable": null, "family": "expression_3op", "shape": "(/ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -643, \"b\": 27, \"c\": 4, \"d\": 45}", "seed": "2979981970450299466", "semantic_fingerprint": "sha256:f3ced84cbe51f938154a543828a128c529b1dfc805b5c800f62d225b330cd41f", "generator_version": "3.0"}
{"id": "v3_test_id_00002484", "prompt": "Compute: -99 - (1 - 0)", "solution_steps": ["Subtract: 1 - 0 = 1", "Subtract: -99 - 1 = -100"], "final_answer": "-100", "answer_type": "integer", "kind": "expression", "math_text": "-99 - (1 - 0)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": 1, \"c\": 0}", "seed": "15040238697167479025", "semantic_fingerprint": "sha256:8c388fffac4bdae4bbed011241b043ceeb14c9348be18b6e2bc9d79e664377c1", "generator_version": "3.0"}
{"id": "v3_test_id_00002485", "prompt": "What is (-17 - 86) / (-68 + 2)?", "solution_steps": ["Subtract: -17 - 86 = -103", "Add: -68 + 2 = -66", "Divide: -103 / (-66) = 103/66"], "final_answer": "103/66", "answer_type": "rational", "kind": "expression", "math_text": "(-17 - 86) / (-68 + 2)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": 86, \"c\": -68, \"d\": 2}", "seed": "8183378759469838060", "semantic_fingerprint": "sha256:13832e826c9b47b4d72a184065fe1aa173336041f0b307e4724b9ccd6b614c97", "generator_version": "3.0"}
{"id": "v3_test_id_00002486", "prompt": "What value of x satisfies 3(x + 72) = 11x + 336?", "solution_steps": ["Expand: 3x + 216 = 11x + 336", "Subtract 11x from both sides: -8x + 216 = 336", "Subtract 216 from both sides: -8x = 120", "Divide both sides by -8: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 72) = 11x + 336", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 72, \"c\": 11, \"e\": 336, \"x\": -15}", "seed": "11608667016156914828", "semantic_fingerprint": "sha256:eee4ceb93fa2fd9e4c8cf9b89749d007f623f46545f86a69fb184fda40cdc369", "generator_version": "3.0"}
{"id": "v3_test_id_00002487", "prompt": "Find x: -5x + 2 = 12(x + 8) - 64", "solution_steps": ["Expand: -5x + 2 = 12x + 96 - 64", "Combine constants: -5x + 2 = 12x + 32", "Subtract 12x from both sides: -17x + 2 = 32", "Subtract 2 from both sides: -17x = 30", "Divide both sides by -17: x = -30/17"], "final_answer": "-30/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5x + 2 = 12(x + 8) - 64", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 2, \"c\": 12, \"d\": 8, \"e\": 64}", "seed": "5763842125178682300", "semantic_fingerprint": "sha256:26f098fcd92f017e3b317970e0a07498fad4ba731e9a52778df53118b822ddd0", "generator_version": "3.0"}
{"id": "v3_test_id_00002488", "prompt": "What is 55 - (-6 - 42 / (8 * 18))?", "solution_steps": ["Multiply: 8 * 18 = 144", "Divide: 42 / 144 = 7/24", "Subtract: -6 - 7/24 = -151/24", "Subtract: 55 - (-151/24) = 1471/24"], "final_answer": "1471/24", "answer_type": "rational", "kind": "expression", "math_text": "55 - (-6 - 42 / (8 * 18))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (/ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": -6, \"c\": 42, \"d\": 8, \"e\": 18}", "seed": "5552610624621293289", "semantic_fingerprint": "sha256:a351d4d84a41ed20aaa4195dfe9c4c6683d037a9cb63a5dad27442d0a1615655", "generator_version": "3.0"}
{"id": "v3_test_id_00002489", "prompt": "Calculate: 0 * (-66) - (25 - (-30))", "solution_steps": ["Multiply: 0 * (-66) = 0", "Subtract: 25 - (-30) = 55", "Subtract: 0 - 55 = -55"], "final_answer": "-55", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-66) - (25 - (-30))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -66, \"c\": 25, \"d\": -30}", "seed": "3539079794396669144", "semantic_fingerprint": "sha256:51f357c8f28d659490036de99ea1bc7f4b19c83f7f7639b6b4112f8ab3039f53", "generator_version": "3.0"}
{"id": "v3_test_id_00002490", "prompt": "Calculate: 5 / ((-7 + 8) * 429) + (-81)", "solution_steps": ["Add: -7 + 8 = 1", "Multiply: 1 * 429 = 429", "Divide: 5 / 429 = 5/429", "Add: 5/429 + (-81) = -34744/429"], "final_answer": "-34744/429", "answer_type": "rational", "kind": "expression", "math_text": "5 / ((-7 + 8) * 429) + (-81)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (* (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -7, \"c\": 8, \"d\": 429, \"e\": -81}", "seed": "11390880815005893415", "semantic_fingerprint": "sha256:e83cf288525bf2624b96ddfe909c6520155598f81d9bc0f3128fb86cd99b2da5", "generator_version": "3.0"}
{"id": "v3_test_id_00002491", "prompt": "Find x: 9(x + 4) = -2x + 223", "solution_steps": ["Expand: 9x + 36 = -2x + 223", "Add 2x to both sides: 11x + 36 = 223", "Subtract 36 from both sides: 11x = 187", "Divide both sides by 11: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 4) = -2x + 223", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 4, \"c\": -2, \"e\": 223, \"x\": 17}", "seed": "9958501708923868416", "semantic_fingerprint": "sha256:ed498eeb1dfea613e1804ab47006baea11b95ea366cdffc7daf2f1d75be41ade", "generator_version": "3.0"}
{"id": "v3_test_id_00002492", "prompt": "Calculate: 91 - 4", "solution_steps": ["Subtract: 91 - 4 = 87"], "final_answer": "87", "answer_type": "integer", "kind": "expression", "math_text": "91 - 4", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": 4}", "seed": "13260433725396443564", "semantic_fingerprint": "sha256:24f5e4caa17702e4f331b6102ce3ae3962aa052aff7cc4ff5f64f23624ff55f2", "generator_version": "3.0"}
{"id": "v3_test_id_00002493", "prompt": "Find x: 7x - 83 = 12(x + 57) - 742", "solution_steps": ["Expand: 7x - 83 = 12x + 684 - 742", "Combine constants: 7x - 83 = 12x - 58", "Subtract 12x from both sides: -5x - 83 = -58", "Add 83 to both sides: -5x = 25", "Divide both sides by -5: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 83 = 12(x + 57) - 742", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 83, \"c\": 12, \"d\": 57, \"f\": -742, \"x\": -5}", "seed": "12731365550645324615", "semantic_fingerprint": "sha256:3766b66d9187de0e552a95568c00bf7603784ab0de699b32f1c3d54f27847c9d", "generator_version": "3.0"}
{"id": "v3_test_id_00002494", "prompt": "Calculate: -576 * (-68) / 162", "solution_steps": ["Multiply: -576 * (-68) = 39168", "Divide: 39168 / 162 = 2176/9"], "final_answer": "2176/9", "answer_type": "rational", "kind": "expression", "math_text": "-576 * (-68) / 162", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -576, \"b\": -68, \"c\": 162}", "seed": "2287914349974106867", "semantic_fingerprint": "sha256:db3656dee4b10662c9ba2a3fbea172e10b2652236e0d17db634dcd1a9f2f4880", "generator_version": "3.0"}
{"id": "v3_test_id_00002495", "prompt": "What is -126 - (-453) + (-3) * (33 / 18)?", "solution_steps": ["Subtract: -126 - (-453) = 327", "Divide: 33 / 18 = 11/6", "Multiply: -3 * (11/6) = -11/2", "Add: 327 + (-11/2) = 643/2"], "final_answer": "643/2", "answer_type": "rational", "kind": "expression", "math_text": "-126 - (-453) + (-3) * (33 / 18)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (* n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -126, \"b\": -453, \"c\": -3, \"d\": 33, \"e\": 18}", "seed": "16219526873123210324", "semantic_fingerprint": "sha256:fab6f72994dbee4aeffb50675507ffb5fd8a96ed4ffeca37484df61e49ff3872", "generator_version": "3.0"}
{"id": "v3_test_id_00002496", "prompt": "Solve the equation 8(x - 7) + 396 = -12x for x.", "solution_steps": ["Expand: 8x - 56 + 396 = -12x", "Combine constants: 8x + 340 = -12x", "Add 12x to both sides: 20x + 340 = 0", "Subtract 340 from both sides: 20x = -340", "Divide both sides by 20: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 7) + 396 = -12x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": -12, \"e\": 396, \"x\": -17}", "seed": "13645100869624908262", "semantic_fingerprint": "sha256:4700d5f006a0b41ffa567c03528d83f61a357b16ef98d8255fd455e9ed3b643d", "generator_version": "3.0"}
{"id": "v3_test_id_00002497", "prompt": "What value of x satisfies -8x = -3x - 35?", "solution_steps": ["Add 3x to both sides: -5x = -35", "Divide both sides by -5: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x = -3x - 35", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -3, \"d\": -35, \"x\": 7}", "seed": "14183434656297142109", "semantic_fingerprint": "sha256:87c58b079aa823e40e197ab6de13f1104afd2f4efb8d298021801c62401a4ad5", "generator_version": "3.0"}
{"id": "v3_test_id_00002498", "prompt": "Find x: -4(x + 424) + 89 = 6", "solution_steps": ["Expand: -4x - 1696 + 89 = 6", "Combine constants: -4x - 1607 = 6", "Add 1607 to both sides: -4x = 1613", "Divide both sides by -4: x = -1613/4"], "final_answer": "-1613/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 424) + 89 = 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 424, \"c\": 89, \"d\": 6}", "seed": "12269146649336679968", "semantic_fingerprint": "sha256:041c15c767312584f756ef8355dd4c3085f18e79d0dd87516dd63a16714d77ba", "generator_version": "3.0"}
{"id": "v3_test_id_00002499", "prompt": "Evaluate: -9 / (-1 * 23) + 301", "solution_steps": ["Multiply: -1 * 23 = -23", "Divide: -9 / (-23) = 9/23", "Add: 9/23 + 301 = 6932/23"], "final_answer": "6932/23", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-1 * 23) + 301", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -1, \"c\": 23, \"d\": 301}", "seed": "1927267310116777917", "semantic_fingerprint": "sha256:f0e29e6b89bf3213ab448b5916b3321e7d586fe7c437b70d7876cf50e6ca89f6", "generator_version": "3.0"}
{"id": "v3_test_id_00002500", "prompt": "Solve the equation 2x - 5 = x - 21 for x.", "solution_steps": ["Subtract x from both sides: x - 5 = -21", "Add 5 to both sides: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 5 = x - 21", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"d\": -21, \"x\": -16}", "seed": "17651793868349594646", "semantic_fingerprint": "sha256:766d0a5375c2a67e1d1873554d1d64d79979f281f48261977d56b4b20c52d764", "generator_version": "3.0"}
{"id": "v3_test_id_00002501", "prompt": "Calculate: (-75 + (-39)) / (-685 * (-3))", "solution_steps": ["Add: -75 + (-39) = -114", "Multiply: -685 * (-3) = 2055", "Divide: -114 / 2055 = -38/685"], "final_answer": "-38/685", "answer_type": "rational", "kind": "expression", "math_text": "(-75 + (-39)) / (-685 * (-3))", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": -39, \"c\": -685, \"d\": -3}", "seed": "5511655410629863071", "semantic_fingerprint": "sha256:dea877de3edcd01d9e7f21c9d125eaaa07b569e71f95b2edf9d03aa136cb5216", "generator_version": "3.0"}
{"id": "v3_test_id_00002502", "prompt": "Evaluate: (-301 - (-689)) * (14 + (-4))", "solution_steps": ["Subtract: -301 - (-689) = 388", "Add: 14 + (-4) = 10", "Multiply: 388 * 10 = 3880"], "final_answer": "3880", "answer_type": "integer", "kind": "expression", "math_text": "(-301 - (-689)) * (14 + (-4))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -301, \"b\": -689, \"c\": 14, \"d\": -4}", "seed": "16049915184060105239", "semantic_fingerprint": "sha256:2eab302304d001dfa767bfbe9d6fa665f0f7880fc8185bd58e00ca1478174462", "generator_version": "3.0"}
{"id": "v3_test_id_00002503", "prompt": "What is 135 - 61?", "solution_steps": ["Subtract: 135 - 61 = 74"], "final_answer": "74", "answer_type": "integer", "kind": "expression", "math_text": "135 - 61", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 135, \"b\": 61}", "seed": "1200716626645394258", "semantic_fingerprint": "sha256:1af28c1ee550a8174e3ecd30cfd7bd556c9b10edc89c300acacf90f5d6b940d0", "generator_version": "3.0"}
{"id": "v3_test_id_00002504", "prompt": "Compute: 73 / 316 + (-3) * (-3)", "solution_steps": ["Divide: 73 / 316 = 73/316", "Multiply: -3 * (-3) = 9", "Add: 73/316 + 9 = 2917/316"], "final_answer": "2917/316", "answer_type": "rational", "kind": "expression", "math_text": "73 / 316 + (-3) * (-3)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 316, \"c\": -3, \"d\": -3}", "seed": "5267011486894326882", "semantic_fingerprint": "sha256:26f98ce3132d115f158ca0c0485b71294ea8468ccb68add9bd90a0a100300466", "generator_version": "3.0"}
{"id": "v3_test_id_00002505", "prompt": "Find x: 6x + 499 = x - 6", "solution_steps": ["Subtract x from both sides: 5x + 499 = -6", "Subtract 499 from both sides: 5x = -505", "Divide both sides by 5: x = -101"], "final_answer": "-101", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x + 499 = x - 6", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 499, \"c\": 6}", "seed": "170046215460132227", "semantic_fingerprint": "sha256:a222bb830da52a37432902446d5b39699fc7415d48018f71c1f56fa2053411ef", "generator_version": "3.0"}
{"id": "v3_test_id_00002506", "prompt": "What is 643 + 7 - (-7) / (-1)?", "solution_steps": ["Add: 643 + 7 = 650", "Divide: -7 / (-1) = 7", "Subtract: 650 - 7 = 643"], "final_answer": "643", "answer_type": "integer", "kind": "expression", "math_text": "643 + 7 - (-7) / (-1)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 643, \"b\": 7, \"c\": -7, \"d\": -1}", "seed": "9367341896674752352", "semantic_fingerprint": "sha256:bdbecbf1acffd799942ddb42e3fa93a750cd46deedfb99b676af90d6b8b755da", "generator_version": "3.0"}
{"id": "v3_test_id_00002507", "prompt": "What is -788 + (-2) + (-5) * (28 * (-694))?", "solution_steps": ["Add: -788 + (-2) = -790", "Multiply: 28 * (-694) = -19432", "Multiply: -5 * (-19432) = 97160", "Add: -790 + 97160 = 96370"], "final_answer": "96370", "answer_type": "integer", "kind": "expression", "math_text": "-788 + (-2) + (-5) * (28 * (-694))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -788, \"b\": -2, \"c\": -5, \"d\": 28, \"e\": -694}", "seed": "3176787163100027906", "semantic_fingerprint": "sha256:bf6d4b8bc7566576d046b9aff5c41829b112d0b5e8de84a35df19561ef026f6e", "generator_version": "3.0"}
{"id": "v3_test_id_00002508", "prompt": "Solve the equation 7x + 8 = x - 22 for x.", "solution_steps": ["Subtract x from both sides: 6x + 8 = -22", "Subtract 8 from both sides: 6x = -30", "Divide both sides by 6: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 8 = x - 22", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"d\": -22, \"x\": -5}", "seed": "13687412420860951790", "semantic_fingerprint": "sha256:61019de4fa88b4642b513d86728c62afbc7d2ad6e588f7e0e057f6bf29dc9dfd", "generator_version": "3.0"}
{"id": "v3_test_id_00002509", "prompt": "What value of x satisfies x + 5 = 10x + 32?", "solution_steps": ["Subtract 10x from both sides: -9x + 5 = 32", "Subtract 5 from both sides: -9x = 27", "Divide both sides by -9: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5 = 10x + 32", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 10, \"d\": 32, \"x\": -3}", "seed": "308775006962918614", "semantic_fingerprint": "sha256:ae473954c490dee195db7a8f04afd78035c95b3090a94f9bf5ee21f68ae3ca74", "generator_version": "3.0"}
{"id": "v3_test_id_00002510", "prompt": "Find x: x - 98 = -5x", "solution_steps": ["Add 5x to both sides: 6x - 98 = 0", "Add 98 to both sides: 6x = 98", "Divide both sides by 6: x = 49/3"], "final_answer": "49/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 98 = -5x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": -5}", "seed": "3120609794577750841", "semantic_fingerprint": "sha256:8313b1806b6a30051f69a3a13b21c275825aa6e413d642c28c605854031aee21", "generator_version": "3.0"}
{"id": "v3_test_id_00002511", "prompt": "Find x: x + 160 = 9x", "solution_steps": ["Subtract 9x from both sides: -8x + 160 = 0", "Subtract 160 from both sides: -8x = -160", "Divide both sides by -8: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 160 = 9x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"c\": 160, \"x\": 20}", "seed": "14331326943170467180", "semantic_fingerprint": "sha256:207e7d62a2e0eb84807a282d624a2ae07e5100f440a5d3ac6add5f870c6c2fc0", "generator_version": "3.0"}
{"id": "v3_test_id_00002512", "prompt": "Evaluate: (-654 + 8) * 75 / (-4 * 13 * 8)", "solution_steps": ["Add: -654 + 8 = -646", "Multiply: -646 * 75 = -48450", "Multiply: -4 * 13 = -52", "Multiply: -52 * 8 = -416", "Divide: -48450 / (-416) = 24225/208"], "final_answer": "24225/208", "answer_type": "rational", "kind": "expression", "math_text": "(-654 + 8) * 75 / (-4 * 13 * 8)", "variable": null, "family": "expression_5op", "shape": "(/ (* (+ n n) n) (* (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -654, \"b\": 8, \"c\": 75, \"d\": -4, \"e\": 13, \"f\": 8}", "seed": "17106364673232794307", "semantic_fingerprint": "sha256:5bca8a0a419a2dd88cddec62d7831d5912d461657ce6ddea43da631e0827ba89", "generator_version": "3.0"}
{"id": "v3_test_id_00002513", "prompt": "Compute: 14 - (-1)", "solution_steps": ["Subtract: 14 - (-1) = 15"], "final_answer": "15", "answer_type": "integer", "kind": "expression", "math_text": "14 - (-1)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": -1}", "seed": "9473375882750803516", "semantic_fingerprint": "sha256:b52ee7df83aff542922eb3f1852a3df76c56c61b73d78c3d4d338c9dc3db3ec2", "generator_version": "3.0"}
{"id": "v3_test_id_00002514", "prompt": "What is (-970 - 9) / ((3 + (-12)) / 7 - (-91))?", "solution_steps": ["Subtract: -970 - 9 = -979", "Add: 3 + (-12) = -9", "Divide: -9 / 7 = -9/7", "Subtract: -9/7 - (-91) = 628/7", "Divide: -979 / (628/7) = -6853/628"], "final_answer": "-6853/628", "answer_type": "rational", "kind": "expression", "math_text": "(-970 - 9) / ((3 + (-12)) / 7 - (-91))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (- (/ (+ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -970, \"b\": 9, \"c\": 3, \"d\": -12, \"e\": 7, \"f\": -91}", "seed": "4261166446585122007", "semantic_fingerprint": "sha256:748fb04eedf38336919067f11967d1bf05f04aa27b8b4bfbd0c9a34a263625c7", "generator_version": "3.0"}
{"id": "v3_test_id_00002515", "prompt": "Find x: -5x + 55 = -6(x - 64) - 311", "solution_steps": ["Expand: -5x + 55 = -6x + 384 - 311", "Combine constants: -5x + 55 = -6x + 73", "Add 6x to both sides: x + 55 = 73", "Subtract 55 from both sides: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x + 55 = -6(x - 64) - 311", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 55, \"c\": -6, \"d\": 64, \"f\": -311, \"x\": 18}", "seed": "9963338779284959232", "semantic_fingerprint": "sha256:cea5eea55994b0e5fbc04f6f303497e7ecd361f2e6418c0ec8c3442c71e338cf", "generator_version": "3.0"}
{"id": "v3_test_id_00002516", "prompt": "Evaluate: 3 * (-263) + (-59 - (-51 - 81))", "solution_steps": ["Multiply: 3 * (-263) = -789", "Subtract: -51 - 81 = -132", "Subtract: -59 - (-132) = 73", "Add: -789 + 73 = -716"], "final_answer": "-716", "answer_type": "integer", "kind": "expression", "math_text": "3 * (-263) + (-59 - (-51 - 81))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -263, \"c\": -59, \"d\": -51, \"e\": 81}", "seed": "1039508263985655544", "semantic_fingerprint": "sha256:12096b689e138a4bcc749a78155d8995423d535ed66c7da7c241efe20580c851", "generator_version": "3.0"}
{"id": "v3_test_id_00002517", "prompt": "What is 774 - 27?", "solution_steps": ["Subtract: 774 - 27 = 747"], "final_answer": "747", "answer_type": "integer", "kind": "expression", "math_text": "774 - 27", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 774, \"b\": 27}", "seed": "12463497351099522279", "semantic_fingerprint": "sha256:0abd82fd45d98bd305b70527ddb25a0d680497573cc16c7d0ae59049c90e9fd5", "generator_version": "3.0"}
{"id": "v3_test_id_00002518", "prompt": "What is 965 * (-6) / 123 * (-5 / (2 - 1))?", "solution_steps": ["Multiply: 965 * (-6) = -5790", "Divide: -5790 / 123 = -1930/41", "Subtract: 2 - 1 = 1", "Divide: -5 / 1 = -5", "Multiply: (-1930/41) * (-5) = 9650/41"], "final_answer": "9650/41", "answer_type": "rational", "kind": "expression", "math_text": "965 * (-6) / 123 * (-5 / (2 - 1))", "variable": null, "family": "expression_5op", "shape": "(* (/ (* n n) n) (/ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 965, \"b\": -6, \"c\": 123, \"d\": -5, \"e\": 2, \"f\": 1}", "seed": "8713011162202992752", "semantic_fingerprint": "sha256:a0ee775e165cf17e35131eca6a5cf8aa215a2056259eea6d419e1ebc6cc7f436", "generator_version": "3.0"}
{"id": "v3_test_id_00002519", "prompt": "What value of x satisfies 4(x - 10) + 8 = 10(x - 63) + 688?", "solution_steps": ["Expand: 4x - 40 + 8 = 10(x - 63) + 688", "Expand: 4x - 40 + 8 = 10x - 630 + 688", "Combine constants: 4x - 32 = 10x - 630 + 688", "Combine constants: 4x - 32 = 10x + 58", "Subtract 10x from both sides: -6x - 32 = 58", "Add 32 to both sides: -6x = 90", "Divide both sides by -6: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 10) + 8 = 10(x - 63) + 688", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 10, \"c\": 8, \"d\": 10, \"e\": 63, \"g\": 688, \"x\": -15}", "seed": "16634689195416572517", "semantic_fingerprint": "sha256:2d865c5fc2bd7fe031eb86653403b0c0c504b5e7effdabaa11b874e75b52d536", "generator_version": "3.0"}
{"id": "v3_test_id_00002520", "prompt": "What is -4 / (78 + 54) * (-4) - (-77 + (-7))?", "solution_steps": ["Add: 78 + 54 = 132", "Divide: -4 / 132 = -1/33", "Multiply: (-1/33) * (-4) = 4/33", "Add: -77 + (-7) = -84", "Subtract: 4/33 - (-84) = 2776/33"], "final_answer": "2776/33", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (78 + 54) * (-4) - (-77 + (-7))", "variable": null, "family": "expression_5op", "shape": "(- (* (/ n (+ n n)) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 78, \"c\": 54, \"d\": -4, \"e\": -77, \"f\": -7}", "seed": "14805408825891004633", "semantic_fingerprint": "sha256:64a86e3ec4c1dc48f24e258110e9ddde0573a1a2edb2214c81cec056ae88b593", "generator_version": "3.0"}
{"id": "v3_test_id_00002521", "prompt": "Evaluate: (-33 + 35) / 526 * (38 + (-2))", "solution_steps": ["Add: -33 + 35 = 2", "Divide: 2 / 526 = 1/263", "Add: 38 + (-2) = 36", "Multiply: (1/263) * 36 = 36/263"], "final_answer": "36/263", "answer_type": "rational", "kind": "expression", "math_text": "(-33 + 35) / 526 * (38 + (-2))", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": 35, \"c\": 526, \"d\": 38, \"e\": -2}", "seed": "10498590100949801464", "semantic_fingerprint": "sha256:f3937ca1315aa4a995ba67ac3c8d953542ae65e23cef136761afabf4e9374c5a", "generator_version": "3.0"}
{"id": "v3_test_id_00002522", "prompt": "Solve for x: 3x + 54 = 8x - 46", "solution_steps": ["Subtract 8x from both sides: -5x + 54 = -46", "Subtract 54 from both sides: -5x = -100", "Divide both sides by -5: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x + 54 = 8x - 46", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 54, \"c\": 8, \"e\": -46, \"x\": 20}", "seed": "17724596923680262776", "semantic_fingerprint": "sha256:13a75e385365cd22afa9520fdbe95d09a800a98a22063422e888317a4ea96e82", "generator_version": "3.0"}
{"id": "v3_test_id_00002523", "prompt": "Compute: -17 / (-15 - 1)", "solution_steps": ["Subtract: -15 - 1 = -16", "Divide: -17 / (-16) = 17/16"], "final_answer": "17/16", "answer_type": "rational", "kind": "expression", "math_text": "-17 / (-15 - 1)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": -15, \"c\": 1}", "seed": "17992608690645307215", "semantic_fingerprint": "sha256:910833c94a3c9747a73bf8b639e2f006b4b32c6416b452e15850b293107b6fed", "generator_version": "3.0"}
{"id": "v3_test_id_00002524", "prompt": "Calculate: (-367 + 5 / 6) * (4 + (-3) + 39)", "solution_steps": ["Divide: 5 / 6 = 5/6", "Add: -367 + 5/6 = -2197/6", "Add: 4 + (-3) = 1", "Add: 1 + 39 = 40", "Multiply: (-2197/6) * 40 = -43940/3"], "final_answer": "-43940/3", "answer_type": "rational", "kind": "expression", "math_text": "(-367 + 5 / 6) * (4 + (-3) + 39)", "variable": null, "family": "expression_5op", "shape": "(* (+ n (/ n n)) (+ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -367, \"b\": 5, \"c\": 6, \"d\": 4, \"e\": -3, \"f\": 39}", "seed": "16345661734550720298", "semantic_fingerprint": "sha256:d5fe6b0f0bb6fd82247a6ca76999ea99c13b77b90c214369e387ca0287c84ddd", "generator_version": "3.0"}
{"id": "v3_test_id_00002525", "prompt": "Solve for x: -4(x - 5) = 11(x + 5)", "solution_steps": ["Expand: -4x + 20 = 11(x + 5)", "Expand: -4x + 20 = 11x + 55", "Subtract 11x from both sides: -15x + 20 = 55", "Subtract 20 from both sides: -15x = 35", "Divide both sides by -15: x = -7/3"], "final_answer": "-7/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x - 5) = 11(x + 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 5, \"c\": 11, \"d\": 5}", "seed": "12814344364663835031", "semantic_fingerprint": "sha256:fde283e010994a70ee8fa922d84067cd7e1cf1daa5e7fc8f473a0deeb0bd69b6", "generator_version": "3.0"}
{"id": "v3_test_id_00002526", "prompt": "Calculate: -7 / (-45 - 6)", "solution_steps": ["Subtract: -45 - 6 = -51", "Divide: -7 / (-51) = 7/51"], "final_answer": "7/51", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (-45 - 6)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -45, \"c\": 6}", "seed": "8910961227247026013", "semantic_fingerprint": "sha256:946d5c9d07ed1931b29b258a9f0692da92e3cdf4efe4e68d97352cceb90fc09f", "generator_version": "3.0"}
{"id": "v3_test_id_00002527", "prompt": "Find x: 11x + 4 = -5(x - 40) - 212", "solution_steps": ["Expand: 11x + 4 = -5x + 200 - 212", "Combine constants: 11x + 4 = -5x - 12", "Add 5x to both sides: 16x + 4 = -12", "Subtract 4 from both sides: 16x = -16", "Divide both sides by 16: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 4 = -5(x - 40) - 212", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": -5, \"d\": 40, \"f\": -212, \"x\": -1}", "seed": "5387015671394064195", "semantic_fingerprint": "sha256:85eecffbf2ea616fe285492aef963dc9a5cf1f4afff0990d704f89f4ac1dc7f0", "generator_version": "3.0"}
{"id": "v3_test_id_00002528", "prompt": "What is -120 * (16 - (-6)) + 15 / (-73)?", "solution_steps": ["Subtract: 16 - (-6) = 22", "Multiply: -120 * 22 = -2640", "Divide: 15 / (-73) = -15/73", "Add: -2640 + (-15/73) = -192735/73"], "final_answer": "-192735/73", "answer_type": "rational", "kind": "expression", "math_text": "-120 * (16 - (-6)) + 15 / (-73)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -120, \"b\": 16, \"c\": -6, \"d\": 15, \"e\": -73}", "seed": "10335411945437506411", "semantic_fingerprint": "sha256:c56e974f974fee52149de0f5513e62d28a949830bba292c2111c3579dc1a0010", "generator_version": "3.0"}
{"id": "v3_test_id_00002529", "prompt": "Compute: -77 * (-79)", "solution_steps": ["Multiply: -77 * (-79) = 6083"], "final_answer": "6083", "answer_type": "integer", "kind": "expression", "math_text": "-77 * (-79)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": -79}", "seed": "9323171311316528657", "semantic_fingerprint": "sha256:304cee95491cac6c2286891b9dc4a176f3d840908b6d93d55100e59ba22bc96b", "generator_version": "3.0"}
{"id": "v3_test_id_00002530", "prompt": "Evaluate: (960 - (-56)) / 82", "solution_steps": ["Subtract: 960 - (-56) = 1016", "Divide: 1016 / 82 = 508/41"], "final_answer": "508/41", "answer_type": "rational", "kind": "expression", "math_text": "(960 - (-56)) / 82", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 960, \"b\": -56, \"c\": 82}", "seed": "533325224495937339", "semantic_fingerprint": "sha256:fe17a9060ba76c8b97f415e7f82b3bec09f4e60ca2a37786b04843e0ae9878f4", "generator_version": "3.0"}
{"id": "v3_test_id_00002531", "prompt": "Calculate: 27 + 6 + (739 - 80) - (-209 - (-15))", "solution_steps": ["Add: 27 + 6 = 33", "Subtract: 739 - 80 = 659", "Add: 33 + 659 = 692", "Subtract: -209 - (-15) = -194", "Subtract: 692 - (-194) = 886"], "final_answer": "886", "answer_type": "integer", "kind": "expression", "math_text": "27 + 6 + (739 - 80) - (-209 - (-15))", "variable": null, "family": "expression_5op", "shape": "(- (+ (+ n n) (- n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": 6, \"c\": 739, \"d\": 80, \"e\": -209, \"f\": -15}", "seed": "3850653123737889852", "semantic_fingerprint": "sha256:a887dc3f73d2a70221a1950907de4bb86f0e8cc621db630b513901ea9f09f134", "generator_version": "3.0"}
{"id": "v3_test_id_00002532", "prompt": "Find x: -11(x + 9) = x", "solution_steps": ["Expand: -11x - 99 = x", "Subtract x from both sides: -12x - 99 = 0", "Add 99 to both sides: -12x = 99", "Divide both sides by -12: x = -33/4"], "final_answer": "-33/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x + 9) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 9}", "seed": "7913472749164257425", "semantic_fingerprint": "sha256:f7e5e5dca13268098f86e6cd5136337a5b8d7583d6e35b7e5264694be1e8eaf5", "generator_version": "3.0"}
{"id": "v3_test_id_00002533", "prompt": "Solve the equation 2(x - 75) - 70 = x - 222 for x.", "solution_steps": ["Expand: 2x - 150 - 70 = x - 222", "Combine constants: 2x - 220 = x - 222", "Subtract x from both sides: x - 220 = -222", "Add 220 to both sides: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 75) - 70 = x - 222", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 75, \"c\": 70, \"e\": -222, \"x\": -2}", "seed": "3268426292628587894", "semantic_fingerprint": "sha256:7fbeec092089877b60723b70034fe25fbe4ad481fbe35597bcdbe5596ff446cd", "generator_version": "3.0"}
{"id": "v3_test_id_00002534", "prompt": "What is -31 / (-9 / (70 / (-48))) - (63 - 489)?", "solution_steps": ["Divide: 70 / (-48) = -35/24", "Divide: -9 / (-35/24) = 216/35", "Divide: -31 / (216/35) = -1085/216", "Subtract: 63 - 489 = -426", "Subtract: -1085/216 - (-426) = 90931/216"], "final_answer": "90931/216", "answer_type": "rational", "kind": "expression", "math_text": "-31 / (-9 / (70 / (-48))) - (63 - 489)", "variable": null, "family": "expression_5op", "shape": "(- (/ n (/ n (/ n n))) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -31, \"b\": -9, \"c\": 70, \"d\": -48, \"e\": 63, \"f\": 489}", "seed": "8239573880723938732", "semantic_fingerprint": "sha256:629bc4ebd35b895d7f0b258b396f3d4be28cdc9144b09d7c0ebd5f067e6797f7", "generator_version": "3.0"}
{"id": "v3_test_id_00002535", "prompt": "Find x: 9x = x - 144", "solution_steps": ["Subtract x from both sides: 8x = -144", "Divide both sides by 8: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = x - 144", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"c\": -144, \"x\": -18}", "seed": "1620777225806231017", "semantic_fingerprint": "sha256:2409b2356645b86cea3ce7ce1e813870072eb36fd65a2c8b7c05f5acffd239f4", "generator_version": "3.0"}
{"id": "v3_test_id_00002536", "prompt": "What value of x satisfies 7(x + 1) + 4 = -66?", "solution_steps": ["Expand: 7x + 7 + 4 = -66", "Combine constants: 7x + 11 = -66", "Subtract 11 from both sides: 7x = -77", "Divide both sides by 7: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 1) + 4 = -66", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 1, \"c\": 4, \"e\": -66, \"x\": -11}", "seed": "14510448942603736029", "semantic_fingerprint": "sha256:125ae674b0e6d0e3c7326e785bd2a07bffd70af40d914c6ddd56ac759157c9df", "generator_version": "3.0"}
{"id": "v3_test_id_00002537", "prompt": "Calculate: (-15 + (-130)) / (-634)", "solution_steps": ["Add: -15 + (-130) = -145", "Divide: -145 / (-634) = 145/634"], "final_answer": "145/634", "answer_type": "rational", "kind": "expression", "math_text": "(-15 + (-130)) / (-634)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": -130, \"c\": -634}", "seed": "11409735310917130527", "semantic_fingerprint": "sha256:5408f0fa5e75af8b24db7d286c405dcbb6d8572789f10f7021bf9bc93f922cbc", "generator_version": "3.0"}
{"id": "v3_test_id_00002538", "prompt": "Calculate: 5 * (-35 * (-31))", "solution_steps": ["Multiply: -35 * (-31) = 1085", "Multiply: 5 * 1085 = 5425"], "final_answer": "5425", "answer_type": "integer", "kind": "expression", "math_text": "5 * (-35 * (-31))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -35, \"c\": -31}", "seed": "18409941321732778179", "semantic_fingerprint": "sha256:43d240fc590a64c674512b9272a418ab50aa58099d442a17d778fa6925085dcf", "generator_version": "3.0"}
{"id": "v3_test_id_00002539", "prompt": "Evaluate: 882 - (-31)", "solution_steps": ["Subtract: 882 - (-31) = 913"], "final_answer": "913", "answer_type": "integer", "kind": "expression", "math_text": "882 - (-31)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 882, \"b\": -31}", "seed": "12888494701491690020", "semantic_fingerprint": "sha256:de5f0b333ce125fbd7c145730f7a88a31ae90c7de336cc08e752373e05eef13a", "generator_version": "3.0"}
{"id": "v3_test_id_00002540", "prompt": "What value of x satisfies -11(x - 4) - 34 = 6(x + 25)?", "solution_steps": ["Expand: -11x + 44 - 34 = 6(x + 25)", "Expand: -11x + 44 - 34 = 6x + 150", "Combine constants: -11x + 10 = 6x + 150", "Subtract 6x from both sides: -17x + 10 = 150", "Subtract 10 from both sides: -17x = 140", "Divide both sides by -17: x = -140/17"], "final_answer": "-140/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 4) - 34 = 6(x + 25)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 4, \"c\": 34, \"d\": 6, \"e\": 25}", "seed": "5310744360240548782", "semantic_fingerprint": "sha256:baa6276143c6f06d00989d180e4f13a6cb41625634c15049dc0b1e3d83640dc2", "generator_version": "3.0"}
{"id": "v3_test_id_00002541", "prompt": "Solve for x: 9(x + 133) - 7 = 6(x - 8) + 9", "solution_steps": ["Expand: 9x + 1197 - 7 = 6(x - 8) + 9", "Expand: 9x + 1197 - 7 = 6x - 48 + 9", "Combine constants: 9x + 1190 = 6x - 48 + 9", "Combine constants: 9x + 1190 = 6x - 39", "Subtract 6x from both sides: 3x + 1190 = -39", "Subtract 1190 from both sides: 3x = -1229", "Divide both sides by 3: x = -1229/3"], "final_answer": "-1229/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 133) - 7 = 6(x - 8) + 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 133, \"c\": 7, \"d\": 6, \"e\": 8, \"f\": 9}", "seed": "13368542072640971684", "semantic_fingerprint": "sha256:1be570ec27a7ffad531e864da376053a69d4c2fb8221ea8d5f637c8aac9f0eaf", "generator_version": "3.0"}
{"id": "v3_test_id_00002542", "prompt": "What is -84 - 7 - (-7) / (0 * (-862) - (-948))?", "solution_steps": ["Subtract: -84 - 7 = -91", "Multiply: 0 * (-862) = 0", "Subtract: 0 - (-948) = 948", "Divide: -7 / 948 = -7/948", "Subtract: -91 - (-7/948) = -86261/948"], "final_answer": "-86261/948", "answer_type": "rational", "kind": "expression", "math_text": "-84 - 7 - (-7) / (0 * (-862) - (-948))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (/ n (- (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": 7, \"c\": -7, \"d\": 0, \"e\": -862, \"f\": -948}", "seed": "8536774920728138524", "semantic_fingerprint": "sha256:e0928c1f0702032dd02035437b6d3f725c3107742d513e3a8305a6d2ea22b60a", "generator_version": "3.0"}
{"id": "v3_test_id_00002543", "prompt": "Solve the equation 8x + 91 = 3x + 166 for x.", "solution_steps": ["Subtract 3x from both sides: 5x + 91 = 166", "Subtract 91 from both sides: 5x = 75", "Divide both sides by 5: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x + 91 = 3x + 166", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 91, \"c\": 3, \"e\": 166, \"x\": 15}", "seed": "11674741746344029847", "semantic_fingerprint": "sha256:90fadc578b093ea016013383184569950df1498b238fa8aeea79b77336e01ca6", "generator_version": "3.0"}
{"id": "v3_test_id_00002544", "prompt": "What is 3 / (-70 / (-2))?", "solution_steps": ["Divide: -70 / (-2) = 35", "Divide: 3 / 35 = 3/35"], "final_answer": "3/35", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-70 / (-2))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -70, \"c\": -2}", "seed": "10876244988535477564", "semantic_fingerprint": "sha256:ab3a3e3953176ebcaee828b0847317345cf56873693c9fe24efcd1217eb2b8f5", "generator_version": "3.0"}
{"id": "v3_test_id_00002545", "prompt": "Solve for x: 8x = 9x + 13", "solution_steps": ["Subtract 9x from both sides: -x = 13", "Divide both sides by -1: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 9x + 13", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"d\": 13, \"x\": -13}", "seed": "2141741486939888667", "semantic_fingerprint": "sha256:ada32d44fa3e2fc6cb66cc6d68401b31b1f35f8d6da5dc277b18c8a827e62c80", "generator_version": "3.0"}
{"id": "v3_test_id_00002546", "prompt": "What value of x satisfies 5x + 68 = x?", "solution_steps": ["Subtract x from both sides: 4x + 68 = 0", "Subtract 68 from both sides: 4x = -68", "Divide both sides by 4: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 68 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"c\": 68, \"x\": -17}", "seed": "3725841349670916312", "semantic_fingerprint": "sha256:fff36ef2f3116a9e3fd9edc423ad44ef8f2daa420665ee2ebec07ed80c8ccb49", "generator_version": "3.0"}
{"id": "v3_test_id_00002547", "prompt": "Find x: -11x + 204 = -3(x - 20)", "solution_steps": ["Expand: -11x + 204 = -3x + 60", "Add 3x to both sides: -8x + 204 = 60", "Subtract 204 from both sides: -8x = -144", "Divide both sides by -8: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x + 204 = -3(x - 20)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": -3, \"c\": 20, \"e\": 204, \"x\": 18}", "seed": "16522345559944754357", "semantic_fingerprint": "sha256:ff25a7d7d3d161831fd2108b671e50d2d7779ef12fd4aa078445967404948012", "generator_version": "3.0"}
{"id": "v3_test_id_00002548", "prompt": "What value of x satisfies -3(x + 8) = x - 8?", "solution_steps": ["Expand: -3x - 24 = x - 8", "Subtract x from both sides: -4x - 24 = -8", "Add 24 to both sides: -4x = 16", "Divide both sides by -4: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 8) = x - 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 8, \"d\": -8, \"x\": -4}", "seed": "1926441720353124948", "semantic_fingerprint": "sha256:9f4ded6d48597a4f5e861ffaf2a7ac0e130e41d8af741585e762d4f5fc699913", "generator_version": "3.0"}
{"id": "v3_test_id_00002549", "prompt": "Compute: 6 / (9 / (-84))", "solution_steps": ["Divide: 9 / (-84) = -3/28", "Divide: 6 / (-3/28) = -56"], "final_answer": "-56", "answer_type": "integer", "kind": "expression", "math_text": "6 / (9 / (-84))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": -84}", "seed": "7941885731358146805", "semantic_fingerprint": "sha256:f1e68ff1e7ecd4f005a878379d6afcb958710841ea8bc1c512b6170a1b3ac81f", "generator_version": "3.0"}
{"id": "v3_test_id_00002550", "prompt": "Solve for x: 9(x + 6) + 3 = x - 47", "solution_steps": ["Expand: 9x + 54 + 3 = x - 47", "Combine constants: 9x + 57 = x - 47", "Subtract x from both sides: 8x + 57 = -47", "Subtract 57 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 + 6) + 3 = x - 47", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 6, \"c\": 3, \"e\": -47, \"x\": -13}", "seed": "3312792736625017412", "semantic_fingerprint": "sha256:ef9ade2b7fd702696940a88800cd562e683ed6e47401b9a1f6f76752a537d820", "generator_version": "3.0"}
{"id": "v3_test_id_00002551", "prompt": "Solve for x: 12(x + 62) = 8x + 744", "solution_steps": ["Expand: 12x + 744 = 8x + 744", "Subtract 8x from both sides: 4x + 744 = 744", "Subtract 744 from both sides: 4x = 0", "Divide both sides by 4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 62) = 8x + 744", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 62, \"c\": 8, \"e\": 744, \"x\": 0}", "seed": "15210779026434491751", "semantic_fingerprint": "sha256:bb69d7f861375a4dc7b21fe1a6629d30a155d7b6fadba9d20f8c2243703f6a61", "generator_version": "3.0"}
{"id": "v3_test_id_00002552", "prompt": "Calculate: -3 / (-838 * 1) * 28", "solution_steps": ["Multiply: -838 * 1 = -838", "Divide: -3 / (-838) = 3/838", "Multiply: (3/838) * 28 = 42/419"], "final_answer": "42/419", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-838 * 1) * 28", "variable": null, "family": "expression_3op", "shape": "(* (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -838, \"c\": 1, \"d\": 28}", "seed": "15223258309836121397", "semantic_fingerprint": "sha256:e406df03736efad656cec00262396e1d82e8757c5f979a89f8ced27eef48965b", "generator_version": "3.0"}
{"id": "v3_test_id_00002553", "prompt": "Calculate: 446 - 6 + 0 - 1", "solution_steps": ["Subtract: 446 - 6 = 440", "Add: 440 + 0 = 440", "Subtract: 440 - 1 = 439"], "final_answer": "439", "answer_type": "integer", "kind": "expression", "math_text": "446 - 6 + 0 - 1", "variable": null, "family": "expression_3op", "shape": "(- (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 446, \"b\": 6, \"c\": 0, \"d\": 1}", "seed": "9396635084437884187", "semantic_fingerprint": "sha256:4f412d3a77025ab0bf98830c3885627a34e4f91a03852208e566b6480c8c48c6", "generator_version": "3.0"}
{"id": "v3_test_id_00002554", "prompt": "Calculate: 0 + (-6) / (-6)", "solution_steps": ["Divide: -6 / (-6) = 1", "Add: 0 + 1 = 1"], "final_answer": "1", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-6) / (-6)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -6, \"c\": -6}", "seed": "820260375404027429", "semantic_fingerprint": "sha256:30f70b75019363e3712bb12a0312e0f8e8871d0324c2b584b9e74bde4dcd8a81", "generator_version": "3.0"}
{"id": "v3_test_id_00002555", "prompt": "Evaluate: 89 / (-2 * 17)", "solution_steps": ["Multiply: -2 * 17 = -34", "Divide: 89 / (-34) = -89/34"], "final_answer": "-89/34", "answer_type": "rational", "kind": "expression", "math_text": "89 / (-2 * 17)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": -2, \"c\": 17}", "seed": "5911997531733962564", "semantic_fingerprint": "sha256:c5565a53f1df3ea17b44f678c95eb9fcfcb18db16c5f9bece433d108f0fd8706", "generator_version": "3.0"}
{"id": "v3_test_id_00002556", "prompt": "Evaluate: 83 + 68 + 7", "solution_steps": ["Add: 83 + 68 = 151", "Add: 151 + 7 = 158"], "final_answer": "158", "answer_type": "integer", "kind": "expression", "math_text": "83 + 68 + 7", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 68, \"c\": 7}", "seed": "15569661529441387538", "semantic_fingerprint": "sha256:b36d7ce8bb3b9f901b281bec3a426238448332c93bc326dad35a439d40d0a8d6", "generator_version": "3.0"}
{"id": "v3_test_id_00002557", "prompt": "Compute: 9 - (71 - (-20) + (-9)) + (-112)", "solution_steps": ["Subtract: 71 - (-20) = 91", "Add: 91 + (-9) = 82", "Subtract: 9 - 82 = -73", "Add: -73 + (-112) = -185"], "final_answer": "-185", "answer_type": "integer", "kind": "expression", "math_text": "9 - (71 - (-20) + (-9)) + (-112)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (+ (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 71, \"c\": -20, \"d\": -9, \"e\": -112}", "seed": "16675259285785769710", "semantic_fingerprint": "sha256:ee293a161c70cc79995503f0a6dbb87d81995b8ce9c9cc165b51413f55116bff", "generator_version": "3.0"}
{"id": "v3_test_id_00002558", "prompt": "Calculate: -4 * ((-8 + 43) * (-61))", "solution_steps": ["Add: -8 + 43 = 35", "Multiply: 35 * (-61) = -2135", "Multiply: -4 * (-2135) = 8540"], "final_answer": "8540", "answer_type": "integer", "kind": "expression", "math_text": "-4 * ((-8 + 43) * (-61))", "variable": null, "family": "expression_3op", "shape": "(* n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -8, \"c\": 43, \"d\": -61}", "seed": "1095125023313823251", "semantic_fingerprint": "sha256:b938300c3d69ae4e95b1beeb5329dfe2488d729bddfad620ff7ab308d375f113", "generator_version": "3.0"}
{"id": "v3_test_id_00002559", "prompt": "Find x: 2x + 40 = -2(x + 8) + 16", "solution_steps": ["Expand: 2x + 40 = -2x - 16 + 16", "Combine constants: 2x + 40 = -2x", "Add 2x to both sides: 4x + 40 = 0", "Subtract 40 from both sides: 4x = -40", "Divide both sides by 4: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x + 40 = -2(x + 8) + 16", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 40, \"c\": -2, \"d\": 8, \"f\": 16, \"x\": -10}", "seed": "14887003744802159108", "semantic_fingerprint": "sha256:d1e9f7381dd9106850cd75d9f91deaa6d76f6e2eea03faba1b4e038e7ee3aeb1", "generator_version": "3.0"}
{"id": "v3_test_id_00002560", "prompt": "Calculate: -204 / (406 * ((3 - 8) / 9))", "solution_steps": ["Subtract: 3 - 8 = -5", "Divide: -5 / 9 = -5/9", "Multiply: 406 * (-5/9) = -2030/9", "Divide: -204 / (-2030/9) = 918/1015"], "final_answer": "918/1015", "answer_type": "rational", "kind": "expression", "math_text": "-204 / (406 * ((3 - 8) / 9))", "variable": null, "family": "expression_4op", "shape": "(/ n (* n (/ (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -204, \"b\": 406, \"c\": 3, \"d\": 8, \"e\": 9}", "seed": "3438023292919003637", "semantic_fingerprint": "sha256:472280e4b3e6bbd8ac4c42b1ed3d60ba0ce9ca57ebc1abdbd759da3e9c5af69a", "generator_version": "3.0"}
{"id": "v3_test_id_00002561", "prompt": "Compute: 22 * (13 * (-613) + (-190))", "solution_steps": ["Multiply: 13 * (-613) = -7969", "Add: -7969 + (-190) = -8159", "Multiply: 22 * (-8159) = -179498"], "final_answer": "-179498", "answer_type": "integer", "kind": "expression", "math_text": "22 * (13 * (-613) + (-190))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": 13, \"c\": -613, \"d\": -190}", "seed": "9955567903805567988", "semantic_fingerprint": "sha256:7084fbfdedd1537ef8ba7890662fe57d076b714c17bd4280571e3168e4230778", "generator_version": "3.0"}
{"id": "v3_test_id_00002562", "prompt": "Calculate: (-5 / (-38) - (-721 - (-7))) / (61 - 963)", "solution_steps": ["Divide: -5 / (-38) = 5/38", "Subtract: -721 - (-7) = -714", "Subtract: 5/38 - (-714) = 27137/38", "Subtract: 61 - 963 = -902", "Divide: (27137/38) / (-902) = -2467/3116"], "final_answer": "-2467/3116", "answer_type": "rational", "kind": "expression", "math_text": "(-5 / (-38) - (-721 - (-7))) / (61 - 963)", "variable": null, "family": "expression_5op", "shape": "(/ (- (/ n n) (- n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -38, \"c\": -721, \"d\": -7, \"e\": 61, \"f\": 963}", "seed": "442934929494342615", "semantic_fingerprint": "sha256:f4a55c666f7089aded025fe10b75f566a4b0d23af15109245c9139f0459a849d", "generator_version": "3.0"}
{"id": "v3_test_id_00002563", "prompt": "What is -1 / (-51)?", "solution_steps": ["Divide: -1 / (-51) = 1/51"], "final_answer": "1/51", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (-51)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -51}", "seed": "1913774826737097637", "semantic_fingerprint": "sha256:4e140255fd9780e2062b33e253fdf5723bfc898303da4fa0e560e2aa8711c29c", "generator_version": "3.0"}
{"id": "v3_test_id_00002564", "prompt": "Evaluate: -74 + 7 * 27 * (-103)", "solution_steps": ["Multiply: 7 * 27 = 189", "Multiply: 189 * (-103) = -19467", "Add: -74 + (-19467) = -19541"], "final_answer": "-19541", "answer_type": "integer", "kind": "expression", "math_text": "-74 + 7 * 27 * (-103)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -74, \"b\": 7, \"c\": 27, \"d\": -103}", "seed": "9806697285639604265", "semantic_fingerprint": "sha256:6c7e12d1189066295bfd773d2dae434cc69e65e08e7f4cd646cd6e1e7257dce6", "generator_version": "3.0"}
{"id": "v3_test_id_00002565", "prompt": "Compute: (93 - 7) / (-853 + (-11 + (-5)))", "solution_steps": ["Subtract: 93 - 7 = 86", "Add: -11 + (-5) = -16", "Add: -853 + (-16) = -869", "Divide: 86 / (-869) = -86/869"], "final_answer": "-86/869", "answer_type": "rational", "kind": "expression", "math_text": "(93 - 7) / (-853 + (-11 + (-5)))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": 7, \"c\": -853, \"d\": -11, \"e\": -5}", "seed": "12560935331832423757", "semantic_fingerprint": "sha256:556ab7475378a117ee8dfed0594285a9baf076ee98e4df978e249a21e0c239a3", "generator_version": "3.0"}
{"id": "v3_test_id_00002566", "prompt": "Evaluate: 88 + 72 / (-87) / (13 + (-6)) / (-7)", "solution_steps": ["Divide: 72 / (-87) = -24/29", "Add: 13 + (-6) = 7", "Divide: (-24/29) / 7 = -24/203", "Divide: (-24/203) / (-7) = 24/1421", "Add: 88 + 24/1421 = 125072/1421"], "final_answer": "125072/1421", "answer_type": "rational", "kind": "expression", "math_text": "88 + 72 / (-87) / (13 + (-6)) / (-7)", "variable": null, "family": "expression_5op", "shape": "(+ n (/ (/ (/ n n) (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": 72, \"c\": -87, \"d\": 13, \"e\": -6, \"f\": -7}", "seed": "8025673833394170311", "semantic_fingerprint": "sha256:118a6f59fc0b57d9f698f7cb11920155d959782324bd2bb132aaf9774e54c486", "generator_version": "3.0"}
{"id": "v3_test_id_00002567", "prompt": "Solve the equation x + 557 = -4(x - 82) - 9 for x.", "solution_steps": ["Expand: x + 557 = -4x + 328 - 9", "Combine constants: x + 557 = -4x + 319", "Add 4x to both sides: 5x + 557 = 319", "Subtract 557 from both sides: 5x = -238", "Divide both sides by 5: x = -238/5"], "final_answer": "-238/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 557 = -4(x - 82) - 9", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 557, \"b\": -4, \"c\": 82, \"d\": 9}", "seed": "11741421400980107766", "semantic_fingerprint": "sha256:24d42d2d8a57763ceb1441ec2ebc57919c4e6512f9f35e5f83659fafbc5123f8", "generator_version": "3.0"}
{"id": "v3_test_id_00002568", "prompt": "Evaluate: 0 / (278 - (-585) / (-124))", "solution_steps": ["Divide: -585 / (-124) = 585/124", "Subtract: 278 - 585/124 = 33887/124", "Divide: 0 / (33887/124) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (278 - (-585) / (-124))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 278, \"c\": -585, \"d\": -124}", "seed": "16371029577570335896", "semantic_fingerprint": "sha256:e133a356b9ccb90872f3ba0a93541efa99567a02d802854c148c0d527691c734", "generator_version": "3.0"}
{"id": "v3_test_id_00002569", "prompt": "What is -159 + (-68) - 4 / (-1)?", "solution_steps": ["Add: -159 + (-68) = -227", "Divide: 4 / (-1) = -4", "Subtract: -227 - (-4) = -223"], "final_answer": "-223", "answer_type": "integer", "kind": "expression", "math_text": "-159 + (-68) - 4 / (-1)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -159, \"b\": -68, \"c\": 4, \"d\": -1}", "seed": "2778290194871458235", "semantic_fingerprint": "sha256:32f37917bb67d6f4695626880d8cd84d5c72c4cb6bd8f5884c21ebbaa4959f07", "generator_version": "3.0"}
{"id": "v3_test_id_00002570", "prompt": "What is (-88 - 6) / (170 / (-9)) / (8 / (-4))?", "solution_steps": ["Subtract: -88 - 6 = -94", "Divide: 170 / (-9) = -170/9", "Divide: -94 / (-170/9) = 423/85", "Divide: 8 / (-4) = -2", "Divide: (423/85) / (-2) = -423/170"], "final_answer": "-423/170", "answer_type": "rational", "kind": "expression", "math_text": "(-88 - 6) / (170 / (-9)) / (8 / (-4))", "variable": null, "family": "expression_5op", "shape": "(/ (/ (- n n) (/ n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": 6, \"c\": 170, \"d\": -9, \"e\": 8, \"f\": -4}", "seed": "16071601277436229195", "semantic_fingerprint": "sha256:d22cd58a71baef5a6e17299e433ab6fc0f17b478193640e5368ad3ec54cbdb4d", "generator_version": "3.0"}
{"id": "v3_test_id_00002571", "prompt": "What is (-2 - (-15) - 69) * (-5 * (-70))?", "solution_steps": ["Subtract: -2 - (-15) = 13", "Subtract: 13 - 69 = -56", "Multiply: -5 * (-70) = 350", "Multiply: -56 * 350 = -19600"], "final_answer": "-19600", "answer_type": "integer", "kind": "expression", "math_text": "(-2 - (-15) - 69) * (-5 * (-70))", "variable": null, "family": "expression_4op", "shape": "(* (- (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -15, \"c\": 69, \"d\": -5, \"e\": -70}", "seed": "11584355273128538620", "semantic_fingerprint": "sha256:df0e5580e67f405b0b752627cf275ee7421cc6337e6ddf5005a102790304a0b1", "generator_version": "3.0"}
{"id": "v3_test_id_00002572", "prompt": "What value of x satisfies x - 3 = -10x + 217?", "solution_steps": ["Add 10x to both sides: 11x - 3 = 217", "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": "x - 3 = -10x + 217", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -10, \"d\": 217, \"x\": 20}", "seed": "7829548523347009177", "semantic_fingerprint": "sha256:666f3849a3e9b4fdbd66eea0b844ed9fa49ed5d6405d340b3dd07f8c1a9130eb", "generator_version": "3.0"}
{"id": "v3_test_id_00002573", "prompt": "Solve for x: 5(x - 4) - 277 = -4x - 171", "solution_steps": ["Expand: 5x - 20 - 277 = -4x - 171", "Combine constants: 5x - 297 = -4x - 171", "Add 4x to both sides: 9x - 297 = -171", "Add 297 to both sides: 9x = 126", "Divide both sides by 9: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 4) - 277 = -4x - 171", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": 277, \"d\": -4, \"f\": -171, \"x\": 14}", "seed": "1852711150348537391", "semantic_fingerprint": "sha256:01249d5a85200c3c224bfd6ad377ef27219016a8ee0049c87fd52c81aa6b567c", "generator_version": "3.0"}
{"id": "v3_test_id_00002574", "prompt": "Evaluate: 1 + 6 + (-62 + (-95)) / 93", "solution_steps": ["Add: 1 + 6 = 7", "Add: -62 + (-95) = -157", "Divide: -157 / 93 = -157/93", "Add: 7 + (-157/93) = 494/93"], "final_answer": "494/93", "answer_type": "rational", "kind": "expression", "math_text": "1 + 6 + (-62 + (-95)) / 93", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 6, \"c\": -62, \"d\": -95, \"e\": 93}", "seed": "11367674389931492710", "semantic_fingerprint": "sha256:74f8b8d89b38d58a5ea2688f7195734b3cc5c1488675e6e1a3764fc254956ed1", "generator_version": "3.0"}
{"id": "v3_test_id_00002575", "prompt": "Compute: 86 - 19", "solution_steps": ["Subtract: 86 - 19 = 67"], "final_answer": "67", "answer_type": "integer", "kind": "expression", "math_text": "86 - 19", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 19}", "seed": "714444307401363445", "semantic_fingerprint": "sha256:bac8572839a237e1711472dda291475c407ec63114434abd4e264f1790c0ebf5", "generator_version": "3.0"}
{"id": "v3_test_id_00002576", "prompt": "Find x: x + 49 = -2(x + 21) - 13", "solution_steps": ["Expand: x + 49 = -2x - 42 - 13", "Combine constants: x + 49 = -2x - 55", "Add 2x to both sides: 3x + 49 = -55", "Subtract 49 from both sides: 3x = -104", "Divide both sides by 3: x = -104/3"], "final_answer": "-104/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 49 = -2(x + 21) - 13", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": -2, \"c\": 21, \"d\": 13}", "seed": "11374989511638477607", "semantic_fingerprint": "sha256:7de1dd1a0fb354394f807fbf1a5bcba4c314a998d2d87c53fa02fae27cb9358e", "generator_version": "3.0"}
{"id": "v3_test_id_00002577", "prompt": "Evaluate: -225 / (-401 - 76 - (-358)) / 7", "solution_steps": ["Subtract: -401 - 76 = -477", "Subtract: -477 - (-358) = -119", "Divide: -225 / (-119) = 225/119", "Divide: (225/119) / 7 = 225/833"], "final_answer": "225/833", "answer_type": "rational", "kind": "expression", "math_text": "-225 / (-401 - 76 - (-358)) / 7", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (- (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -225, \"b\": -401, \"c\": 76, \"d\": -358, \"e\": 7}", "seed": "10835049247094857579", "semantic_fingerprint": "sha256:26766ba18c9f8167c6eee067a380406d69a7a6b8c567a10f5961cdc7e4c770ec", "generator_version": "3.0"}
{"id": "v3_test_id_00002578", "prompt": "Calculate: 55 / (-48 - 1) * (38 / 410 + 92)", "solution_steps": ["Subtract: -48 - 1 = -49", "Divide: 55 / (-49) = -55/49", "Divide: 38 / 410 = 19/205", "Add: 19/205 + 92 = 18879/205", "Multiply: (-55/49) * (18879/205) = -29667/287"], "final_answer": "-29667/287", "answer_type": "rational", "kind": "expression", "math_text": "55 / (-48 - 1) * (38 / 410 + 92)", "variable": null, "family": "expression_5op", "shape": "(* (/ n (- n n)) (+ (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": -48, \"c\": 1, \"d\": 38, \"e\": 410, \"f\": 92}", "seed": "3385546009421143165", "semantic_fingerprint": "sha256:390aaa122c6823a05d8de463367c8238d989fbeea333f0a239001eaa19679675", "generator_version": "3.0"}
{"id": "v3_test_id_00002579", "prompt": "Find x: -6x + 76 = 148", "solution_steps": ["Subtract 76 from both sides: -6x = 72", "Divide both sides by -6: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x + 76 = 148", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 76, \"d\": 148, \"x\": -12}", "seed": "13867928823294254624", "semantic_fingerprint": "sha256:544e9183c6c82d65df58b119891fbbd1093e1fdc49f2def2569f7d81be017d2f", "generator_version": "3.0"}
{"id": "v3_test_id_00002580", "prompt": "Solve the equation 10(x + 83) - 874 = 12x for x.", "solution_steps": ["Expand: 10x + 830 - 874 = 12x", "Combine constants: 10x - 44 = 12x", "Subtract 12x from both sides: -2x - 44 = 0", "Add 44 to both sides: -2x = 44", "Divide both sides by -2: x = -22"], "final_answer": "-22", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 83) - 874 = 12x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 83, \"c\": 874, \"d\": 12}", "seed": "7845720475042536651", "semantic_fingerprint": "sha256:94ca1c0309717ee4c6ce6ed077f833f9a6a071e304a6b0562a0dacf1d34a8f76", "generator_version": "3.0"}
{"id": "v3_test_id_00002581", "prompt": "Solve for x: 6x + 91 = x + 41", "solution_steps": ["Subtract x from both sides: 5x + 91 = 41", "Subtract 91 from both sides: 5x = -50", "Divide both sides by 5: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x + 91 = x + 41", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 91, \"d\": 41, \"x\": -10}", "seed": "2894901262894320742", "semantic_fingerprint": "sha256:34e739faa6039e9e4d0d5d0d0021b1361111133e2855c4692f3ce672d9c22915", "generator_version": "3.0"}
{"id": "v3_test_id_00002582", "prompt": "Solve the equation 6x + 53 = 10x + 3 for x.", "solution_steps": ["Subtract 10x from both sides: -4x + 53 = 3", "Subtract 53 from both sides: -4x = -50", "Divide both sides by -4: x = 25/2"], "final_answer": "25/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x + 53 = 10x + 3", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 53, \"c\": 10, \"d\": 3}", "seed": "7002089193923405865", "semantic_fingerprint": "sha256:ffc8a4abff3ebba8d8fb53268ceb1e8378064f41a666cec815b535d1955733a5", "generator_version": "3.0"}
{"id": "v3_test_id_00002583", "prompt": "Calculate: 277 * 69", "solution_steps": ["Multiply: 277 * 69 = 19113"], "final_answer": "19113", "answer_type": "integer", "kind": "expression", "math_text": "277 * 69", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 277, \"b\": 69}", "seed": "3058794188791299433", "semantic_fingerprint": "sha256:9f75b1b28f1be480abdf1f50ebb3ce926ad9cf97921c8d085e562227ee991bde", "generator_version": "3.0"}
{"id": "v3_test_id_00002584", "prompt": "Solve the equation -10(x - 4) = 30 for x.", "solution_steps": ["Expand: -10x + 40 = 30", "Subtract 40 from both sides: -10x = -10", "Divide both sides by -10: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 4) = 30", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 4, \"d\": 30, \"x\": 1}", "seed": "4355245967570128944", "semantic_fingerprint": "sha256:9f2ef77fd95905d3494ce009d597b3cd3fb06d545fd45234dc00e68c59d2667e", "generator_version": "3.0"}
{"id": "v3_test_id_00002585", "prompt": "Solve the equation 7x = x + 48 for x.", "solution_steps": ["Subtract x from both sides: 6x = 48", "Divide both sides by 6: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = x + 48", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"c\": 48, \"x\": 8}", "seed": "5081312659550570349", "semantic_fingerprint": "sha256:40a8812d8adee8ece9b2581b3503f14b1d9c92c9de289741bb1ad0dc002f54cc", "generator_version": "3.0"}
{"id": "v3_test_id_00002586", "prompt": "Solve for x: x - 140 = 11x", "solution_steps": ["Subtract 11x from both sides: -10x - 140 = 0", "Add 140 to both sides: -10x = 140", "Divide both sides by -10: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 140 = 11x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"c\": -140, \"x\": -14}", "seed": "12748899628744289871", "semantic_fingerprint": "sha256:c6cde498f69c44d141c25ff4505950f9b48bae8b1a129ea3c541f038bd14bd00", "generator_version": "3.0"}
{"id": "v3_test_id_00002587", "prompt": "Solve for x: x + 2 = 2", "solution_steps": ["Subtract 2 from both sides: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 2 = 2", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"c\": 2, \"x\": 0}", "seed": "3202619134092400522", "semantic_fingerprint": "sha256:e0005c45b8cc639453f6ade3df95a775ae8eecae2a7cc372902bf7669f97c3a3", "generator_version": "3.0"}
{"id": "v3_test_id_00002588", "prompt": "Calculate: -6 / 426 * (-69 + (-32))", "solution_steps": ["Divide: -6 / 426 = -1/71", "Add: -69 + (-32) = -101", "Multiply: (-1/71) * (-101) = 101/71"], "final_answer": "101/71", "answer_type": "rational", "kind": "expression", "math_text": "-6 / 426 * (-69 + (-32))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 426, \"c\": -69, \"d\": -32}", "seed": "9489800674625310073", "semantic_fingerprint": "sha256:2c64f576cb5aae50d9e00f80c3a6a08664e928ab579611c448d445b133fd5010", "generator_version": "3.0"}
{"id": "v3_test_id_00002589", "prompt": "Compute: 291 - (-9 - (-29))", "solution_steps": ["Subtract: -9 - (-29) = 20", "Subtract: 291 - 20 = 271"], "final_answer": "271", "answer_type": "integer", "kind": "expression", "math_text": "291 - (-9 - (-29))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 291, \"b\": -9, \"c\": -29}", "seed": "12272173904030493845", "semantic_fingerprint": "sha256:ec90a45860f409615bf648b77a40a8dd5fbbfc128988a8fc8a7ce716bc4c1d9d", "generator_version": "3.0"}
{"id": "v3_test_id_00002590", "prompt": "What value of x satisfies x - 66 = 12x?", "solution_steps": ["Subtract 12x from both sides: -11x - 66 = 0", "Add 66 to both sides: -11x = 66", "Divide both sides by -11: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 66 = 12x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"c\": -66, \"x\": -6}", "seed": "1162941030295498757", "semantic_fingerprint": "sha256:16fc5fa2e574e58f3636cdcf44b4c2a28a89f87df7d18cb5e4de239f1266bc10", "generator_version": "3.0"}
{"id": "v3_test_id_00002591", "prompt": "Calculate: 212 - (-402 * (-96) - (9 - 36))", "solution_steps": ["Multiply: -402 * (-96) = 38592", "Subtract: 9 - 36 = -27", "Subtract: 38592 - (-27) = 38619", "Subtract: 212 - 38619 = -38407"], "final_answer": "-38407", "answer_type": "integer", "kind": "expression", "math_text": "212 - (-402 * (-96) - (9 - 36))", "variable": null, "family": "expression_4op", "shape": "(- n (- (* n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 212, \"b\": -402, \"c\": -96, \"d\": 9, \"e\": 36}", "seed": "9776146788897950875", "semantic_fingerprint": "sha256:c9845c547b6b3cd3b2104820941f031ab8e8b8d27184199379ca7762b1b45f37", "generator_version": "3.0"}
{"id": "v3_test_id_00002592", "prompt": "Evaluate: (-219 + (-4)) * (-636 - 58) - (-29 + 10)", "solution_steps": ["Add: -219 + (-4) = -223", "Subtract: -636 - 58 = -694", "Multiply: -223 * (-694) = 154762", "Add: -29 + 10 = -19", "Subtract: 154762 - (-19) = 154781"], "final_answer": "154781", "answer_type": "integer", "kind": "expression", "math_text": "(-219 + (-4)) * (-636 - 58) - (-29 + 10)", "variable": null, "family": "expression_5op", "shape": "(- (* (+ n n) (- n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -219, \"b\": -4, \"c\": -636, \"d\": 58, \"e\": -29, \"f\": 10}", "seed": "3493705261307932946", "semantic_fingerprint": "sha256:93073f618339cfd359dc6f634fa2fd07766089f58c4031ce30071b57f90ea07d", "generator_version": "3.0"}
{"id": "v3_test_id_00002593", "prompt": "Evaluate: 0 * (5 - (663 - 7))", "solution_steps": ["Subtract: 663 - 7 = 656", "Subtract: 5 - 656 = -651", "Multiply: 0 * (-651) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (5 - (663 - 7))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 5, \"c\": 663, \"d\": 7}", "seed": "12699442775724463709", "semantic_fingerprint": "sha256:77c0b3a5a8ee051f09854b10668e266cd4b4ff76b508a80c5630c341c6e1c1a6", "generator_version": "3.0"}
{"id": "v3_test_id_00002594", "prompt": "Solve the equation x = 10(x - 151) + 82 for x.", "solution_steps": ["Expand: x = 10x - 1510 + 82", "Combine constants: x = 10x - 1428", "Subtract 10x from both sides: -9x = -1428", "Divide both sides by -9: x = 476/3"], "final_answer": "476/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 10(x - 151) + 82", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 151, \"c\": 82}", "seed": "5669362418875406509", "semantic_fingerprint": "sha256:2ebfcde4106cc15067246519f3b856403f184301296784886f4fe09e897ef767", "generator_version": "3.0"}
{"id": "v3_test_id_00002595", "prompt": "What is -3 - (-9) / (-4)?", "solution_steps": ["Divide: -9 / (-4) = 9/4", "Subtract: -3 - 9/4 = -21/4"], "final_answer": "-21/4", "answer_type": "rational", "kind": "expression", "math_text": "-3 - (-9) / (-4)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -9, \"c\": -4}", "seed": "14786709515984608402", "semantic_fingerprint": "sha256:4c0dd3d763e36b55bc345b12aa00853ef93499a3f2c534922eebc87ec9283a1f", "generator_version": "3.0"}
{"id": "v3_test_id_00002596", "prompt": "Evaluate: 6 / (-75 - 7 * (-5))", "solution_steps": ["Multiply: 7 * (-5) = -35", "Subtract: -75 - (-35) = -40", "Divide: 6 / (-40) = -3/20"], "final_answer": "-3/20", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-75 - 7 * (-5))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -75, \"c\": 7, \"d\": -5}", "seed": "7115366281534113142", "semantic_fingerprint": "sha256:a5402088bd4d0a18267d4980fbecff981abe2524621741d8f8e6ecb8e6d6e498", "generator_version": "3.0"}
{"id": "v3_test_id_00002597", "prompt": "Compute: 170 - 25", "solution_steps": ["Subtract: 170 - 25 = 145"], "final_answer": "145", "answer_type": "integer", "kind": "expression", "math_text": "170 - 25", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 170, \"b\": 25}", "seed": "17882739334009626707", "semantic_fingerprint": "sha256:37f00430783afd779ac6a1c2527d60efb173637da7d305382b44b730d83e754c", "generator_version": "3.0"}
{"id": "v3_test_id_00002598", "prompt": "Evaluate: 83 / (-5 + 850) * (851 + (-1) * 503)", "solution_steps": ["Add: -5 + 850 = 845", "Divide: 83 / 845 = 83/845", "Multiply: -1 * 503 = -503", "Add: 851 + (-503) = 348", "Multiply: (83/845) * 348 = 28884/845"], "final_answer": "28884/845", "answer_type": "rational", "kind": "expression", "math_text": "83 / (-5 + 850) * (851 + (-1) * 503)", "variable": null, "family": "expression_5op", "shape": "(* (/ n (+ n n)) (+ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": -5, \"c\": 850, \"d\": 851, \"e\": -1, \"f\": 503}", "seed": "16421840653090383623", "semantic_fingerprint": "sha256:0d193319d41a716fa5bfbb12183f01d86be691cdd43357b63dc5ba67ce994d47", "generator_version": "3.0"}
{"id": "v3_test_id_00002599", "prompt": "Solve the equation -9(x + 77) - 70 = 8(x + 64) - 721 for x.", "solution_steps": ["Expand: -9x - 693 - 70 = 8(x + 64) - 721", "Expand: -9x - 693 - 70 = 8x + 512 - 721", "Combine constants: -9x - 763 = 8x + 512 - 721", "Combine constants: -9x - 763 = 8x - 209", "Subtract 8x from both sides: -17x - 763 = -209", "Add 763 to both sides: -17x = 554", "Divide both sides by -17: x = -554/17"], "final_answer": "-554/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 77) - 70 = 8(x + 64) - 721", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 77, \"c\": 70, \"d\": 8, \"e\": 64, \"f\": 721}", "seed": "13963474244590626404", "semantic_fingerprint": "sha256:6ee34dfd2c9a6e52d7c04288df11d4268af5abf241a5cd66d3932472fe8912a8", "generator_version": "3.0"}
{"id": "v3_test_id_00002600", "prompt": "Find x: 3x - 241 = 2(x + 23) - 300", "solution_steps": ["Expand: 3x - 241 = 2x + 46 - 300", "Combine constants: 3x - 241 = 2x - 254", "Subtract 2x from both sides: x - 241 = -254", "Add 241 to both sides: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 241 = 2(x + 23) - 300", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 241, \"c\": 2, \"d\": 23, \"f\": -300, \"x\": -13}", "seed": "8617351180277953820", "semantic_fingerprint": "sha256:97573342bd687163362ecb1279218d83edafb0502af7beb22ef70daa8d074eca", "generator_version": "3.0"}
{"id": "v3_test_id_00002601", "prompt": "Find x: x + 60 = 49", "solution_steps": ["Subtract 60 from both sides: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 60 = 49", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 60, \"c\": 49, \"x\": -11}", "seed": "6203571267211067882", "semantic_fingerprint": "sha256:26c5c722553223f25aca3bedfbae3eaf12705dbe462f6bb4c21d6b875e1f3374", "generator_version": "3.0"}
{"id": "v3_test_id_00002602", "prompt": "Find x: 6x = x + 638", "solution_steps": ["Subtract x from both sides: 5x = 638", "Divide both sides by 5: x = 638/5"], "final_answer": "638/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x = x + 638", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 638}", "seed": "1711650748534738615", "semantic_fingerprint": "sha256:454cb439effadb1a4b8fdc5e29d997156ea196955ea32f9784d26f074caf9204", "generator_version": "3.0"}
{"id": "v3_test_id_00002603", "prompt": "Calculate: 77 * 5", "solution_steps": ["Multiply: 77 * 5 = 385"], "final_answer": "385", "answer_type": "integer", "kind": "expression", "math_text": "77 * 5", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": 5}", "seed": "9574993985162438005", "semantic_fingerprint": "sha256:dc0b9b6c7352c71349a28d2da9a187b12e8ef5c52dc07f3bf6f90959d77f4154", "generator_version": "3.0"}
{"id": "v3_test_id_00002604", "prompt": "Find x: -9x + 36 = -6(x - 6)", "solution_steps": ["Expand: -9x + 36 = -6x + 36", "Add 6x to both sides: -3x + 36 = 36", "Subtract 36 from both sides: -3x = 0", "Divide both sides by -3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x + 36 = -6(x - 6)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -6, \"c\": 6, \"e\": 36, \"x\": 0}", "seed": "546593494116305849", "semantic_fingerprint": "sha256:ea252cc3af440ed17d9717db16b8d0b6e58e36af4017407f958ba8e3e1c79e31", "generator_version": "3.0"}
{"id": "v3_test_id_00002605", "prompt": "Solve the equation x + 90 = -2x for x.", "solution_steps": ["Add 2x to both sides: 3x + 90 = 0", "Subtract 90 from both sides: 3x = -90", "Divide both sides by 3: x = -30"], "final_answer": "-30", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 90 = -2x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": -2}", "seed": "9106444126823371300", "semantic_fingerprint": "sha256:97ac33e1a2df7771bddbc10a71a0b647279f84038763ae5bd3ed215d47129f8c", "generator_version": "3.0"}
{"id": "v3_test_id_00002606", "prompt": "Solve for x: 4(x + 2) + 4 = -28", "solution_steps": ["Expand: 4x + 8 + 4 = -28", "Combine constants: 4x + 12 = -28", "Subtract 12 from both sides: 4x = -40", "Divide both sides by 4: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 2) + 4 = -28", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 2, \"c\": 4, \"e\": -28, \"x\": -10}", "seed": "9243480476176120497", "semantic_fingerprint": "sha256:69b815a0000e2ab42c83c7f3e0c31dbcc4687ccbadb5792c93ac4f25df57032f", "generator_version": "3.0"}
{"id": "v3_test_id_00002607", "prompt": "What is 617 + (-51 - (-440)) + (-35 + (-1))?", "solution_steps": ["Subtract: -51 - (-440) = 389", "Add: 617 + 389 = 1006", "Add: -35 + (-1) = -36", "Add: 1006 + (-36) = 970"], "final_answer": "970", "answer_type": "integer", "kind": "expression", "math_text": "617 + (-51 - (-440)) + (-35 + (-1))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 617, \"b\": -51, \"c\": -440, \"d\": -35, \"e\": -1}", "seed": "13781049288890649276", "semantic_fingerprint": "sha256:b77a23bf01fa18ced68580622d0982e83446949c531868eac7bad1f620002fca", "generator_version": "3.0"}
{"id": "v3_test_id_00002608", "prompt": "Calculate: 2 + (-7)", "solution_steps": ["Add: 2 + (-7) = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "expression", "math_text": "2 + (-7)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -7}", "seed": "16591875016051223489", "semantic_fingerprint": "sha256:c95a250cdb79b662f5720b00c092dab679214ab9459d833670008b6752292ae4", "generator_version": "3.0"}
{"id": "v3_test_id_00002609", "prompt": "Compute: 47 / (-4 + (-2))", "solution_steps": ["Add: -4 + (-2) = -6", "Divide: 47 / (-6) = -47/6"], "final_answer": "-47/6", "answer_type": "rational", "kind": "expression", "math_text": "47 / (-4 + (-2))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": -4, \"c\": -2}", "seed": "4669761162828926261", "semantic_fingerprint": "sha256:04067989b9448b7d480be153e32453c22578f76251248a7383cc9e3576f6d0e2", "generator_version": "3.0"}
{"id": "v3_test_id_00002610", "prompt": "Compute: 82 * (114 / 72) - (-8) / 81", "solution_steps": ["Divide: 114 / 72 = 19/12", "Multiply: 82 * (19/12) = 779/6", "Divide: -8 / 81 = -8/81", "Subtract: 779/6 - (-8/81) = 21049/162"], "final_answer": "21049/162", "answer_type": "rational", "kind": "expression", "math_text": "82 * (114 / 72) - (-8) / 81", "variable": null, "family": "expression_4op", "shape": "(- (* n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": 114, \"c\": 72, \"d\": -8, \"e\": 81}", "seed": "12053621876680953943", "semantic_fingerprint": "sha256:ac641d9ff5b4a40bbd37e780a5fd4b757b9e763fbdbaea4aa667dd49c05d2ac7", "generator_version": "3.0"}
{"id": "v3_test_id_00002611", "prompt": "Evaluate: -45 / (87 - 6) + 5", "solution_steps": ["Subtract: 87 - 6 = 81", "Divide: -45 / 81 = -5/9", "Add: -5/9 + 5 = 40/9"], "final_answer": "40/9", "answer_type": "rational", "kind": "expression", "math_text": "-45 / (87 - 6) + 5", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": 87, \"c\": 6, \"d\": 5}", "seed": "6502012694456698403", "semantic_fingerprint": "sha256:9eb825e7174113b7ef8b3afed4f674553ef903f9fa9fb8823ad66605aac68082", "generator_version": "3.0"}
{"id": "v3_test_id_00002612", "prompt": "Evaluate: -3 - 18 * (-8)", "solution_steps": ["Multiply: 18 * (-8) = -144", "Subtract: -3 - (-144) = 141"], "final_answer": "141", "answer_type": "integer", "kind": "expression", "math_text": "-3 - 18 * (-8)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 18, \"c\": -8}", "seed": "5172430882285516828", "semantic_fingerprint": "sha256:01080713982047056c6011e3f8c3b51bd437cabccf672f8c8e2f5063fe5dfda8", "generator_version": "3.0"}
{"id": "v3_test_id_00002613", "prompt": "Solve the equation 2(x + 39) + 584 = -6(x + 9) + 668 for x.", "solution_steps": ["Expand: 2x + 78 + 584 = -6(x + 9) + 668", "Expand: 2x + 78 + 584 = -6x - 54 + 668", "Combine constants: 2x + 662 = -6x - 54 + 668", "Combine constants: 2x + 662 = -6x + 614", "Add 6x to both sides: 8x + 662 = 614", "Subtract 662 from both sides: 8x = -48", "Divide both sides by 8: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 39) + 584 = -6(x + 9) + 668", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 39, \"c\": 584, \"d\": -6, \"e\": 9, \"g\": 668, \"x\": -6}", "seed": "16867371613516472575", "semantic_fingerprint": "sha256:21c8488d170998ffadb8346d996e6d7e27d8cd48a919e1c6c79230cb750f9774", "generator_version": "3.0"}
{"id": "v3_test_id_00002614", "prompt": "Solve the equation x + 77 = 4(x - 90) + 479 for x.", "solution_steps": ["Expand: x + 77 = 4x - 360 + 479", "Combine constants: x + 77 = 4x + 119", "Subtract 4x from both sides: -3x + 77 = 119", "Subtract 77 from both sides: -3x = 42", "Divide both sides by -3: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 77 = 4(x - 90) + 479", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": 4, \"c\": 90, \"e\": 479, \"x\": -14}", "seed": "6873362083780847878", "semantic_fingerprint": "sha256:54d1e25c44aad8821515bf6d97f0019716085ace8ea1937b76319e876948de55", "generator_version": "3.0"}
{"id": "v3_test_id_00002615", "prompt": "Evaluate: (-2 + (-62)) / (-6)", "solution_steps": ["Add: -2 + (-62) = -64", "Divide: -64 / (-6) = 32/3"], "final_answer": "32/3", "answer_type": "rational", "kind": "expression", "math_text": "(-2 + (-62)) / (-6)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -62, \"c\": -6}", "seed": "6733516649652399604", "semantic_fingerprint": "sha256:db96d48e51b1a34afafbefd68ccdde52fe1660aeb96d13726381c1c678b8b1c3", "generator_version": "3.0"}
{"id": "v3_test_id_00002616", "prompt": "What is -7 - 0 + 1 * (-326)?", "solution_steps": ["Subtract: -7 - 0 = -7", "Multiply: 1 * (-326) = -326", "Add: -7 + (-326) = -333"], "final_answer": "-333", "answer_type": "integer", "kind": "expression", "math_text": "-7 - 0 + 1 * (-326)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 0, \"c\": 1, \"d\": -326}", "seed": "4848381726261158370", "semantic_fingerprint": "sha256:332e74ad54af09cfd079bf7c1cb73c191590be321f444f7cae5d2374a58be5e6", "generator_version": "3.0"}
{"id": "v3_test_id_00002617", "prompt": "What is -71 + (-97) + 97?", "solution_steps": ["Add: -71 + (-97) = -168", "Add: -168 + 97 = -71"], "final_answer": "-71", "answer_type": "integer", "kind": "expression", "math_text": "-71 + (-97) + 97", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": -97, \"c\": 97}", "seed": "2232956137227302632", "semantic_fingerprint": "sha256:76337db9aa6a9a8b592bcfd4348f8b9c9e560e2c3f79640872ce41ab3c72f2e1", "generator_version": "3.0"}
{"id": "v3_test_id_00002618", "prompt": "Compute: -8 * 99", "solution_steps": ["Multiply: -8 * 99 = -792"], "final_answer": "-792", "answer_type": "integer", "kind": "expression", "math_text": "-8 * 99", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 99}", "seed": "13777380589717916176", "semantic_fingerprint": "sha256:e303d2461cedcf71c2babd12903fbdd2a00d9ef1fb0b164d39a57a6b472b5257", "generator_version": "3.0"}
{"id": "v3_test_id_00002619", "prompt": "What is (-2 + 511) * (-764 + 86)?", "solution_steps": ["Add: -2 + 511 = 509", "Add: -764 + 86 = -678", "Multiply: 509 * (-678) = -345102"], "final_answer": "-345102", "answer_type": "integer", "kind": "expression", "math_text": "(-2 + 511) * (-764 + 86)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 511, \"c\": -764, \"d\": 86}", "seed": "2377742352900061464", "semantic_fingerprint": "sha256:dbb664b5b9f1ec53ceb0fe3d3270942d8f728c71f11f520825524ec77aab5514", "generator_version": "3.0"}
{"id": "v3_test_id_00002620", "prompt": "Calculate: 11 + (-38)", "solution_steps": ["Add: 11 + (-38) = -27"], "final_answer": "-27", "answer_type": "integer", "kind": "expression", "math_text": "11 + (-38)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -38}", "seed": "14380070334943840135", "semantic_fingerprint": "sha256:e6fc2d9f609a5a1714ef17c5a913d74c751934127f86d896f6f6250306194c66", "generator_version": "3.0"}
{"id": "v3_test_id_00002621", "prompt": "Compute: -261 / 30", "solution_steps": ["Divide: -261 / 30 = -87/10"], "final_answer": "-87/10", "answer_type": "rational", "kind": "expression", "math_text": "-261 / 30", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -261, \"b\": 30}", "seed": "14833638394918375520", "semantic_fingerprint": "sha256:414dc79f44472c86ebba7fc3d40b5e00a3488ffeb460ee347d1b22efe98cae45", "generator_version": "3.0"}
{"id": "v3_test_id_00002622", "prompt": "Calculate: 58 * (94 - 7) - 467", "solution_steps": ["Subtract: 94 - 7 = 87", "Multiply: 58 * 87 = 5046", "Subtract: 5046 - 467 = 4579"], "final_answer": "4579", "answer_type": "integer", "kind": "expression", "math_text": "58 * (94 - 7) - 467", "variable": null, "family": "expression_3op", "shape": "(- (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": 94, \"c\": 7, \"d\": 467}", "seed": "5273117701219663208", "semantic_fingerprint": "sha256:421f807c7fd1404490d24898469a4115df2c4fb2c7086cbe92ce6acada4e217b", "generator_version": "3.0"}
{"id": "v3_test_id_00002623", "prompt": "Calculate: -343 * (-2) * (-5 - 318)", "solution_steps": ["Multiply: -343 * (-2) = 686", "Subtract: -5 - 318 = -323", "Multiply: 686 * (-323) = -221578"], "final_answer": "-221578", "answer_type": "integer", "kind": "expression", "math_text": "-343 * (-2) * (-5 - 318)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -343, \"b\": -2, \"c\": -5, \"d\": 318}", "seed": "1647973927601231187", "semantic_fingerprint": "sha256:cf0a905ab94477189d47b78f27e4b0819e3da8d3d14191d814b7e0c01daa97e1", "generator_version": "3.0"}
{"id": "v3_test_id_00002624", "prompt": "Calculate: 254 / (-37 * (0 - (1 - 69) + (-18)))", "solution_steps": ["Subtract: 1 - 69 = -68", "Subtract: 0 - (-68) = 68", "Add: 68 + (-18) = 50", "Multiply: -37 * 50 = -1850", "Divide: 254 / (-1850) = -127/925"], "final_answer": "-127/925", "answer_type": "rational", "kind": "expression", "math_text": "254 / (-37 * (0 - (1 - 69) + (-18)))", "variable": null, "family": "expression_5op", "shape": "(/ n (* n (+ (- n (- n n)) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 254, \"b\": -37, \"c\": 0, \"d\": 1, \"e\": 69, \"f\": -18}", "seed": "9226974319105234276", "semantic_fingerprint": "sha256:e4e971fb7839b929ae831b10928f4e2dd64c51752b1e129ca5cedda2308540a0", "generator_version": "3.0"}
{"id": "v3_test_id_00002625", "prompt": "What is -6 + (6 + 396)?", "solution_steps": ["Add: 6 + 396 = 402", "Add: -6 + 402 = 396"], "final_answer": "396", "answer_type": "integer", "kind": "expression", "math_text": "-6 + (6 + 396)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 6, \"c\": 396}", "seed": "487775818171497172", "semantic_fingerprint": "sha256:b1056f89f5babc84cbbc472ae30da3d2a89a78b3fcf44f8a342ee0d3f3b06b88", "generator_version": "3.0"}
{"id": "v3_test_id_00002626", "prompt": "Compute: -530 + 3 * (3 + 5)", "solution_steps": ["Add: 3 + 5 = 8", "Multiply: 3 * 8 = 24", "Add: -530 + 24 = -506"], "final_answer": "-506", "answer_type": "integer", "kind": "expression", "math_text": "-530 + 3 * (3 + 5)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -530, \"b\": 3, \"c\": 3, \"d\": 5}", "seed": "1139608059636340444", "semantic_fingerprint": "sha256:844aa23e57974e8805fb126f781ba735fd95e2a5159bb3a42f7a8ccb4401efc3", "generator_version": "3.0"}
{"id": "v3_test_id_00002627", "prompt": "Solve for x: 10(x - 4) - 885 = 3x - 876", "solution_steps": ["Expand: 10x - 40 - 885 = 3x - 876", "Combine constants: 10x - 925 = 3x - 876", "Subtract 3x from both sides: 7x - 925 = -876", "Add 925 to both sides: 7x = 49", "Divide both sides by 7: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 4) - 885 = 3x - 876", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 4, \"c\": 885, \"d\": 3, \"f\": -876, \"x\": 7}", "seed": "15895536102026918929", "semantic_fingerprint": "sha256:7bf29024d543ab4a1723104346613a0a689c159c84988cce0d032ca4853540ba", "generator_version": "3.0"}
{"id": "v3_test_id_00002628", "prompt": "Calculate: -5 / (-22 / (149 - 96))", "solution_steps": ["Subtract: 149 - 96 = 53", "Divide: -22 / 53 = -22/53", "Divide: -5 / (-22/53) = 265/22"], "final_answer": "265/22", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-22 / (149 - 96))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -22, \"c\": 149, \"d\": 96}", "seed": "18431984277444609150", "semantic_fingerprint": "sha256:ea3039adb641aa10e6c7465a89a8582c82c97b9737061c102bb4cf280c7ab8f1", "generator_version": "3.0"}
{"id": "v3_test_id_00002629", "prompt": "Evaluate: 15 * (-74) * (-127) + (-74)", "solution_steps": ["Multiply: 15 * (-74) = -1110", "Multiply: -1110 * (-127) = 140970", "Add: 140970 + (-74) = 140896"], "final_answer": "140896", "answer_type": "integer", "kind": "expression", "math_text": "15 * (-74) * (-127) + (-74)", "variable": null, "family": "expression_3op", "shape": "(+ (* (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": -74, \"c\": -127, \"d\": -74}", "seed": "2800882853634344069", "semantic_fingerprint": "sha256:9560401a03dc920a47fd79843e5e128dadb334a0bbf58bf5525dcf78dc5472e9", "generator_version": "3.0"}
{"id": "v3_test_id_00002630", "prompt": "What is 66 / 57?", "solution_steps": ["Divide: 66 / 57 = 22/19"], "final_answer": "22/19", "answer_type": "rational", "kind": "expression", "math_text": "66 / 57", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": 57}", "seed": "13347653042900518674", "semantic_fingerprint": "sha256:50743964a5aef7b8001e4b9a6784e2cf7c69a35dd26e8f686bd840da499c1b1f", "generator_version": "3.0"}
{"id": "v3_test_id_00002631", "prompt": "Compute: -122 * (-4) + 571", "solution_steps": ["Multiply: -122 * (-4) = 488", "Add: 488 + 571 = 1059"], "final_answer": "1059", "answer_type": "integer", "kind": "expression", "math_text": "-122 * (-4) + 571", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -122, \"b\": -4, \"c\": 571}", "seed": "7940636509716266326", "semantic_fingerprint": "sha256:97cc11853adb3eae20dfed8205d398c067eed060b6f1ba00601a14cdad1c92ab", "generator_version": "3.0"}
{"id": "v3_test_id_00002632", "prompt": "Solve for x: 3(x + 6) + 971 = 4(x + 2) + 993", "solution_steps": ["Expand: 3x + 18 + 971 = 4(x + 2) + 993", "Expand: 3x + 18 + 971 = 4x + 8 + 993", "Combine constants: 3x + 989 = 4x + 8 + 993", "Combine constants: 3x + 989 = 4x + 1001", "Subtract 4x from both sides: -x + 989 = 1001", "Subtract 989 from both sides: -x = 12", "Divide both sides by -1: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 6) + 971 = 4(x + 2) + 993", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": 971, \"d\": 4, \"e\": 2, \"g\": 993, \"x\": -12}", "seed": "7301087385805772597", "semantic_fingerprint": "sha256:ff883e27a312fedf373fb949e2dd94560e5753a91888d4545f1309a104ff7f58", "generator_version": "3.0"}
{"id": "v3_test_id_00002633", "prompt": "What is 316 / 55 * (-39 + 661 - (-42))?", "solution_steps": ["Divide: 316 / 55 = 316/55", "Add: -39 + 661 = 622", "Subtract: 622 - (-42) = 664", "Multiply: (316/55) * 664 = 209824/55"], "final_answer": "209824/55", "answer_type": "rational", "kind": "expression", "math_text": "316 / 55 * (-39 + 661 - (-42))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (- (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 316, \"b\": 55, \"c\": -39, \"d\": 661, \"e\": -42}", "seed": "17074945829016386330", "semantic_fingerprint": "sha256:53d434db120deac8872bd754700ccafc7475431cf2d147d0956c240a1ea9fb2e", "generator_version": "3.0"}
{"id": "v3_test_id_00002634", "prompt": "What is -8 - 415?", "solution_steps": ["Subtract: -8 - 415 = -423"], "final_answer": "-423", "answer_type": "integer", "kind": "expression", "math_text": "-8 - 415", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 415}", "seed": "4879453436254405104", "semantic_fingerprint": "sha256:8fc7a9c6abe80e63cc99d0639e26b44ac68ed6f1186a4205342fb4a140ae7ac3", "generator_version": "3.0"}
{"id": "v3_test_id_00002635", "prompt": "Calculate: -52 - 76 - 46 * (-894)", "solution_steps": ["Subtract: -52 - 76 = -128", "Multiply: 46 * (-894) = -41124", "Subtract: -128 - (-41124) = 40996"], "final_answer": "40996", "answer_type": "integer", "kind": "expression", "math_text": "-52 - 76 - 46 * (-894)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": 76, \"c\": 46, \"d\": -894}", "seed": "855518637380649789", "semantic_fingerprint": "sha256:665f18c53797153aa8441e9155e77e5748d0a69987e09911542433309f4ecaa3", "generator_version": "3.0"}
{"id": "v3_test_id_00002636", "prompt": "Evaluate: (8 + (-52)) / 1 - (-85)", "solution_steps": ["Add: 8 + (-52) = -44", "Divide: -44 / 1 = -44", "Subtract: -44 - (-85) = 41"], "final_answer": "41", "answer_type": "integer", "kind": "expression", "math_text": "(8 + (-52)) / 1 - (-85)", "variable": null, "family": "expression_3op", "shape": "(- (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -52, \"c\": 1, \"d\": -85}", "seed": "2371694792239644570", "semantic_fingerprint": "sha256:7177ebb5bbae228d21fbe5e3db52128ba27fd61487f97a4e835e42764f947b86", "generator_version": "3.0"}
{"id": "v3_test_id_00002637", "prompt": "Solve for x: -6x + 34 = 12x - 326", "solution_steps": ["Subtract 12x from both sides: -18x + 34 = -326", "Subtract 34 from both sides: -18x = -360", "Divide both sides by -18: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x + 34 = 12x - 326", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 34, \"c\": 12, \"e\": -326, \"x\": 20}", "seed": "10452988392040736502", "semantic_fingerprint": "sha256:84ce8c41a9c2678f9df9f7f51102e60d4e79d9eedd20e7fad967ee0475d58c13", "generator_version": "3.0"}
{"id": "v3_test_id_00002638", "prompt": "Solve the equation x - 67 = 6(x + 5) - 142 for x.", "solution_steps": ["Expand: x - 67 = 6x + 30 - 142", "Combine constants: x - 67 = 6x - 112", "Subtract 6x from both sides: -5x - 67 = -112", "Add 67 to both sides: -5x = -45", "Divide both sides by -5: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 67 = 6(x + 5) - 142", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": 6, \"c\": 5, \"e\": -142, \"x\": 9}", "seed": "17501184969915822450", "semantic_fingerprint": "sha256:3dca19cbd959b5a0bd4a9b6ef8dd8b666f7c9fe43de17ffc817f0cc68a746859", "generator_version": "3.0"}
{"id": "v3_test_id_00002639", "prompt": "Solve the equation -7(x - 2) - 7 = -5(x + 38) + 185 for x.", "solution_steps": ["Expand: -7x + 14 - 7 = -5(x + 38) + 185", "Expand: -7x + 14 - 7 = -5x - 190 + 185", "Combine constants: -7x + 7 = -5x - 190 + 185", "Combine constants: -7x + 7 = -5x - 5", "Add 5x to both sides: -2x + 7 = -5", "Subtract 7 from both sides: -2x = -12", "Divide both sides by -2: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 2) - 7 = -5(x + 38) + 185", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 2, \"c\": 7, \"d\": -5, \"e\": 38, \"g\": 185, \"x\": 6}", "seed": "12221368985437500423", "semantic_fingerprint": "sha256:34e2aac794bcd681f5e518bf675c4f1417a36d0fb891c9fb54c23e33a92b0e46", "generator_version": "3.0"}
{"id": "v3_test_id_00002640", "prompt": "Calculate: 24 / (-85 - (-3) * (-5) + (28 - (-2)))", "solution_steps": ["Multiply: -3 * (-5) = 15", "Subtract: -85 - 15 = -100", "Subtract: 28 - (-2) = 30", "Add: -100 + 30 = -70", "Divide: 24 / (-70) = -12/35"], "final_answer": "-12/35", "answer_type": "rational", "kind": "expression", "math_text": "24 / (-85 - (-3) * (-5) + (28 - (-2)))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ (- n (* n n)) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": -85, \"c\": -3, \"d\": -5, \"e\": 28, \"f\": -2}", "seed": "7960455809083306964", "semantic_fingerprint": "sha256:71bcc2ea338e744f9d9db1157854bdebb1cc4dffeca7a0688e7e917828e0dab0", "generator_version": "3.0"}
{"id": "v3_test_id_00002641", "prompt": "Evaluate: 76 - (-8)", "solution_steps": ["Subtract: 76 - (-8) = 84"], "final_answer": "84", "answer_type": "integer", "kind": "expression", "math_text": "76 - (-8)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": -8}", "seed": "17386545657081118691", "semantic_fingerprint": "sha256:7c0cff8a013699df49d02a875a6abd49def9bd25c4c0e04af403f191d8b7d9bf", "generator_version": "3.0"}
{"id": "v3_test_id_00002642", "prompt": "Solve for x: x - 62 = 10x", "solution_steps": ["Subtract 10x from both sides: -9x - 62 = 0", "Add 62 to both sides: -9x = 62", "Divide both sides by -9: x = -62/9"], "final_answer": "-62/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 62 = 10x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": 10}", "seed": "14949972617462175789", "semantic_fingerprint": "sha256:5a55c5a7dc96ed6bd1e33a7f432797a04510862460a9345be43e0281b59c8744", "generator_version": "3.0"}
{"id": "v3_test_id_00002643", "prompt": "Calculate: -6 * (-3 * (-1)) / (35 + (-9))", "solution_steps": ["Multiply: -3 * (-1) = 3", "Multiply: -6 * 3 = -18", "Add: 35 + (-9) = 26", "Divide: -18 / 26 = -9/13"], "final_answer": "-9/13", "answer_type": "rational", "kind": "expression", "math_text": "-6 * (-3 * (-1)) / (35 + (-9))", "variable": null, "family": "expression_4op", "shape": "(/ (* n (* n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -3, \"c\": -1, \"d\": 35, \"e\": -9}", "seed": "8284902953954697292", "semantic_fingerprint": "sha256:ab7ab09ed46839bf0acbcd29607b63745de21c1a4dc1709c90e6491dae01a99b", "generator_version": "3.0"}
{"id": "v3_test_id_00002644", "prompt": "Solve for x: 9x = -4x - 2", "solution_steps": ["Add 4x to both sides: 13x = -2", "Divide both sides by 13: x = -2/13"], "final_answer": "-2/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x = -4x - 2", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -4, \"c\": 2}", "seed": "6721902977263778015", "semantic_fingerprint": "sha256:99014dfd6e120a11ef6ee26e04615e2505ebbe56d65c62aae11b1fdccdeee222", "generator_version": "3.0"}
{"id": "v3_test_id_00002645", "prompt": "Evaluate: 1 / 96 + (-6)", "solution_steps": ["Divide: 1 / 96 = 1/96", "Add: 1/96 + (-6) = -575/96"], "final_answer": "-575/96", "answer_type": "rational", "kind": "expression", "math_text": "1 / 96 + (-6)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 96, \"c\": -6}", "seed": "13719715817389045574", "semantic_fingerprint": "sha256:3395981457b5a44f86132da4579f6e283c0c004ef1c50636124039c502bc2aba", "generator_version": "3.0"}
{"id": "v3_test_id_00002646", "prompt": "Find x: 7x + 68 = x + 152", "solution_steps": ["Subtract x from both sides: 6x + 68 = 152", "Subtract 68 from both sides: 6x = 84", "Divide both sides by 6: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 68 = x + 152", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 68, \"d\": 152, \"x\": 14}", "seed": "91440792138123910", "semantic_fingerprint": "sha256:78e4886204553bc6f596d4fa12f74480f4e7dad1f6f0f746cd2646046e83e574", "generator_version": "3.0"}
{"id": "v3_test_id_00002647", "prompt": "Calculate: -9 * (0 / 40) * (-63 + 3)", "solution_steps": ["Divide: 0 / 40 = 0", "Multiply: -9 * 0 = 0", "Add: -63 + 3 = -60", "Multiply: 0 * (-60) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (0 / 40) * (-63 + 3)", "variable": null, "family": "expression_4op", "shape": "(* (* n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 0, \"c\": 40, \"d\": -63, \"e\": 3}", "seed": "17862434155527248594", "semantic_fingerprint": "sha256:0ff31e5ee903a68a5aaf3e44a48c8d3daf0de3d3e1b1ba6c4e2b6f8d597b58d4", "generator_version": "3.0"}
{"id": "v3_test_id_00002648", "prompt": "Find x: -7x = 3(x + 777)", "solution_steps": ["Expand: -7x = 3x + 2331", "Subtract 3x from both sides: -10x = 2331", "Divide both sides by -10: x = -2331/10"], "final_answer": "-2331/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7x = 3(x + 777)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 3, \"c\": 777}", "seed": "4504984591574299879", "semantic_fingerprint": "sha256:85d4297828f9f345fce5b4db52709ec7d34eb139e562d9f8dc65122c29adf74f", "generator_version": "3.0"}
{"id": "v3_test_id_00002649", "prompt": "Calculate: 9 / (-43 / (-3) - 470)", "solution_steps": ["Divide: -43 / (-3) = 43/3", "Subtract: 43/3 - 470 = -1367/3", "Divide: 9 / (-1367/3) = -27/1367"], "final_answer": "-27/1367", "answer_type": "rational", "kind": "expression", "math_text": "9 / (-43 / (-3) - 470)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -43, \"c\": -3, \"d\": 470}", "seed": "16442564034131789624", "semantic_fingerprint": "sha256:4692b8a4c79a6984f1858414bb37f8a46606e90bfb79237854c26a42cb0dc239", "generator_version": "3.0"}
{"id": "v3_test_id_00002650", "prompt": "What value of x satisfies -5(x - 63) = 2(x - 55) + 306?", "solution_steps": ["Expand: -5x + 315 = 2(x - 55) + 306", "Expand: -5x + 315 = 2x - 110 + 306", "Combine constants: -5x + 315 = 2x + 196", "Subtract 2x from both sides: -7x + 315 = 196", "Subtract 315 from both sides: -7x = -119", "Divide both sides by -7: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 63) = 2(x - 55) + 306", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 63, \"c\": 2, \"d\": 55, \"f\": 306, \"x\": 17}", "seed": "4047616725702782520", "semantic_fingerprint": "sha256:76cd91490c0ad948f2f785b3f3c7b603ef1d197746e0981a4965c144d6bd1a1c", "generator_version": "3.0"}
{"id": "v3_test_id_00002651", "prompt": "What is 591 / (-8) * (-373 - (-303))?", "solution_steps": ["Divide: 591 / (-8) = -591/8", "Subtract: -373 - (-303) = -70", "Multiply: (-591/8) * (-70) = 20685/4"], "final_answer": "20685/4", "answer_type": "rational", "kind": "expression", "math_text": "591 / (-8) * (-373 - (-303))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 591, \"b\": -8, \"c\": -373, \"d\": -303}", "seed": "16892484004778015403", "semantic_fingerprint": "sha256:2d8055244a7250c796b38b3f995e7d0a18839c292415c8ad0bf0f380427ab86a", "generator_version": "3.0"}
{"id": "v3_test_id_00002652", "prompt": "Solve the equation -8(x + 461) + 4 = 11(x - 19) + 7 for x.", "solution_steps": ["Expand: -8x - 3688 + 4 = 11(x - 19) + 7", "Expand: -8x - 3688 + 4 = 11x - 209 + 7", "Combine constants: -8x - 3684 = 11x - 209 + 7", "Combine constants: -8x - 3684 = 11x - 202", "Subtract 11x from both sides: -19x - 3684 = -202", "Add 3684 to both sides: -19x = 3482", "Divide both sides by -19: x = -3482/19"], "final_answer": "-3482/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x + 461) + 4 = 11(x - 19) + 7", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 461, \"c\": 4, \"d\": 11, \"e\": 19, \"f\": 7}", "seed": "1581246299106510831", "semantic_fingerprint": "sha256:17e4c99c7d592f7387ab0d14dfa4abf55da461efdb4de4af1ed2765d5e62e519", "generator_version": "3.0"}
{"id": "v3_test_id_00002653", "prompt": "Compute: 527 + 732 * 777", "solution_steps": ["Multiply: 732 * 777 = 568764", "Add: 527 + 568764 = 569291"], "final_answer": "569291", "answer_type": "integer", "kind": "expression", "math_text": "527 + 732 * 777", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 527, \"b\": 732, \"c\": 777}", "seed": "10523152712569547096", "semantic_fingerprint": "sha256:39a844d89ecf9b70a39e592fbc2b3a87fe4cb04f83d19a5971cc18d0d3738ab5", "generator_version": "3.0"}
{"id": "v3_test_id_00002654", "prompt": "Compute: -15 + (-992) * (-53 / (-762))", "solution_steps": ["Divide: -53 / (-762) = 53/762", "Multiply: -992 * (53/762) = -26288/381", "Add: -15 + (-26288/381) = -32003/381"], "final_answer": "-32003/381", "answer_type": "rational", "kind": "expression", "math_text": "-15 + (-992) * (-53 / (-762))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": -992, \"c\": -53, \"d\": -762}", "seed": "5855406405514522260", "semantic_fingerprint": "sha256:725323c5d1fcf3a6184932e0c685e00127f0253235b81e424e0170e58b41056c", "generator_version": "3.0"}
{"id": "v3_test_id_00002655", "prompt": "Compute: -60 + (-25)", "solution_steps": ["Add: -60 + (-25) = -85"], "final_answer": "-85", "answer_type": "integer", "kind": "expression", "math_text": "-60 + (-25)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": -25}", "seed": "15667699465518122989", "semantic_fingerprint": "sha256:e960935477b6f3f42e4c4a22c3b568d7c3964ccce30bfba9ddc86ab33457d251", "generator_version": "3.0"}
{"id": "v3_test_id_00002656", "prompt": "Calculate: -73 - (-419 + 67 + 83 / 82)", "solution_steps": ["Add: -419 + 67 = -352", "Divide: 83 / 82 = 83/82", "Add: -352 + 83/82 = -28781/82", "Subtract: -73 - (-28781/82) = 22795/82"], "final_answer": "22795/82", "answer_type": "rational", "kind": "expression", "math_text": "-73 - (-419 + 67 + 83 / 82)", "variable": null, "family": "expression_4op", "shape": "(- n (+ (+ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": -419, \"c\": 67, \"d\": 83, \"e\": 82}", "seed": "6042461673627466603", "semantic_fingerprint": "sha256:9bf28635e8fde99a630202278fc752520451575f7a6bb68692c0bd5b229331d2", "generator_version": "3.0"}
{"id": "v3_test_id_00002657", "prompt": "Calculate: 117 + (31 + 10 + (-51) / 76)", "solution_steps": ["Add: 31 + 10 = 41", "Divide: -51 / 76 = -51/76", "Add: 41 + (-51/76) = 3065/76", "Add: 117 + 3065/76 = 11957/76"], "final_answer": "11957/76", "answer_type": "rational", "kind": "expression", "math_text": "117 + (31 + 10 + (-51) / 76)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (+ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 117, \"b\": 31, \"c\": 10, \"d\": -51, \"e\": 76}", "seed": "17172387132749908330", "semantic_fingerprint": "sha256:721ea5e9d8c8a2aa41abf1643c0640e0ce9c652cfc493dc1ca27190c7220e9f3", "generator_version": "3.0"}
{"id": "v3_test_id_00002658", "prompt": "Calculate: -259 * 1 * (-634)", "solution_steps": ["Multiply: -259 * 1 = -259", "Multiply: -259 * (-634) = 164206"], "final_answer": "164206", "answer_type": "integer", "kind": "expression", "math_text": "-259 * 1 * (-634)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -259, \"b\": 1, \"c\": -634}", "seed": "15250512533075779649", "semantic_fingerprint": "sha256:10cfe82ed6971fb3dc46ab0aedd0e9a0131e3e7454863ca4e54acb225199a919", "generator_version": "3.0"}
{"id": "v3_test_id_00002659", "prompt": "Evaluate: -578 / (-670 / (-826))", "solution_steps": ["Divide: -670 / (-826) = 335/413", "Divide: -578 / (335/413) = -238714/335"], "final_answer": "-238714/335", "answer_type": "rational", "kind": "expression", "math_text": "-578 / (-670 / (-826))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -578, \"b\": -670, \"c\": -826}", "seed": "12181201930791215848", "semantic_fingerprint": "sha256:5e5b024735ad4ee8aae394a56cc19bf4bd99087fb8f2d2016273fdc5ec2ca38e", "generator_version": "3.0"}
{"id": "v3_test_id_00002660", "prompt": "What is 76 - (-10 + 9 - (-7))?", "solution_steps": ["Add: -10 + 9 = -1", "Subtract: -1 - (-7) = 6", "Subtract: 76 - 6 = 70"], "final_answer": "70", "answer_type": "integer", "kind": "expression", "math_text": "76 - (-10 + 9 - (-7))", "variable": null, "family": "expression_3op", "shape": "(- n (- (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": -10, \"c\": 9, \"d\": -7}", "seed": "3852711996367362793", "semantic_fingerprint": "sha256:291b1ff1567ed23408f7080588e47708013cc3a6165b08ee4e62d87111248f55", "generator_version": "3.0"}
{"id": "v3_test_id_00002661", "prompt": "Calculate: -40 * (-92)", "solution_steps": ["Multiply: -40 * (-92) = 3680"], "final_answer": "3680", "answer_type": "integer", "kind": "expression", "math_text": "-40 * (-92)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": -92}", "seed": "3020424323613931667", "semantic_fingerprint": "sha256:0f769e906fe860296b95a0a5e7fea1ffd679c5ffb38d262d06bec6173a2bbfbd", "generator_version": "3.0"}
{"id": "v3_test_id_00002662", "prompt": "Solve the equation -8(x + 39) + 1 = -9(x - 32) - 612 for x.", "solution_steps": ["Expand: -8x - 312 + 1 = -9(x - 32) - 612", "Expand: -8x - 312 + 1 = -9x + 288 - 612", "Combine constants: -8x - 311 = -9x + 288 - 612", "Combine constants: -8x - 311 = -9x - 324", "Add 9x to both sides: x - 311 = -324", "Add 311 to both sides: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 39) + 1 = -9(x - 32) - 612", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 39, \"c\": 1, \"d\": -9, \"e\": 32, \"g\": -612, \"x\": -13}", "seed": "9480005270968426757", "semantic_fingerprint": "sha256:d0f215ed83a565cf72b42e0f2bf9f0e11c5cade9fde232d36c743007b1f59b94", "generator_version": "3.0"}
{"id": "v3_test_id_00002663", "prompt": "What is -23 + 7 / 3 / (3 * 79 - 0)?", "solution_steps": ["Divide: 7 / 3 = 7/3", "Multiply: 3 * 79 = 237", "Subtract: 237 - 0 = 237", "Divide: (7/3) / 237 = 7/711", "Add: -23 + 7/711 = -16346/711"], "final_answer": "-16346/711", "answer_type": "rational", "kind": "expression", "math_text": "-23 + 7 / 3 / (3 * 79 - 0)", "variable": null, "family": "expression_5op", "shape": "(+ n (/ (/ n n) (- (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": 7, \"c\": 3, \"d\": 3, \"e\": 79, \"f\": 0}", "seed": "2197144814435191448", "semantic_fingerprint": "sha256:2cdace522f64833cf8dbed954a71e7809c9b206e54b418c11ac08784278ed9ab", "generator_version": "3.0"}
{"id": "v3_test_id_00002664", "prompt": "Evaluate: 0 / (543 * (-17)) * (-280)", "solution_steps": ["Multiply: 543 * (-17) = -9231", "Divide: 0 / (-9231) = 0", "Multiply: 0 * (-280) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (543 * (-17)) * (-280)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 543, \"c\": -17, \"d\": -280}", "seed": "16050061119809782915", "semantic_fingerprint": "sha256:866ac54ea4d2e814f3a6f98dc3e5e12561db9174d087f34544576d49b4c8d4ac", "generator_version": "3.0"}
{"id": "v3_test_id_00002665", "prompt": "Evaluate: 398 + 70 - (-359)", "solution_steps": ["Add: 398 + 70 = 468", "Subtract: 468 - (-359) = 827"], "final_answer": "827", "answer_type": "integer", "kind": "expression", "math_text": "398 + 70 - (-359)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 398, \"b\": 70, \"c\": -359}", "seed": "7150795551730822948", "semantic_fingerprint": "sha256:4a3f186df1969a027e29c3404db47adfbdba4e0cc7a33e6ca74e2a515f7f77ae", "generator_version": "3.0"}
{"id": "v3_test_id_00002666", "prompt": "Find x: -5x + 73 = 11(x - 2) + 79", "solution_steps": ["Expand: -5x + 73 = 11x - 22 + 79", "Combine constants: -5x + 73 = 11x + 57", "Subtract 11x from both sides: -16x + 73 = 57", "Subtract 73 from both sides: -16x = -16", "Divide both sides by -16: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x + 73 = 11(x - 2) + 79", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 73, \"c\": 11, \"d\": 2, \"f\": 79, \"x\": 1}", "seed": "7488700408168360879", "semantic_fingerprint": "sha256:b31b5dea8529cc74deb0469b0faa7e0cfab6449514eb0cebf19597ca44e9ec90", "generator_version": "3.0"}
{"id": "v3_test_id_00002667", "prompt": "Solve the equation 9(x + 79) + 4 = 8x - 23 for x.", "solution_steps": ["Expand: 9x + 711 + 4 = 8x - 23", "Combine constants: 9x + 715 = 8x - 23", "Subtract 8x from both sides: x + 715 = -23", "Subtract 715 from both sides: x = -738"], "final_answer": "-738", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 79) + 4 = 8x - 23", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 79, \"c\": 4, \"d\": 8, \"e\": 23}", "seed": "17457096921957727300", "semantic_fingerprint": "sha256:6c1782d608b39218519593c2eb7ea59631bf3fa3c7f10a5d270cd4d39ab9d32b", "generator_version": "3.0"}
{"id": "v3_test_id_00002668", "prompt": "Solve for x: x - 6 = 8x - 8", "solution_steps": ["Subtract 8x from both sides: -7x - 6 = -8", "Add 6 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": "x - 6 = 8x - 8", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": 8}", "seed": "3884068706707480246", "semantic_fingerprint": "sha256:9b16a61f8265e1092c506103c0431ec4eae569bbc550c0f716660a3adc60455d", "generator_version": "3.0"}
{"id": "v3_test_id_00002669", "prompt": "What is (59 + 81) * 41?", "solution_steps": ["Add: 59 + 81 = 140", "Multiply: 140 * 41 = 5740"], "final_answer": "5740", "answer_type": "integer", "kind": "expression", "math_text": "(59 + 81) * 41", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": 81, \"c\": 41}", "seed": "725916060529349703", "semantic_fingerprint": "sha256:6400188413d95c2804bc7ec42482500cd58dea5aa549b4f8c06e02fcfa7a2711", "generator_version": "3.0"}
{"id": "v3_test_id_00002670", "prompt": "Solve the equation -4(x + 7) = 11x for x.", "solution_steps": ["Expand: -4x - 28 = 11x", "Subtract 11x from both sides: -15x - 28 = 0", "Add 28 to both sides: -15x = 28", "Divide both sides by -15: x = -28/15"], "final_answer": "-28/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 7) = 11x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 7, \"c\": 11}", "seed": "7087232853611191324", "semantic_fingerprint": "sha256:45c968e4a2a0ec354c52b2d2179cc06a8b1c1e226b3c49eed8de0f3bb5c11ecc", "generator_version": "3.0"}
{"id": "v3_test_id_00002671", "prompt": "Find x: 4(x - 35) = x + 5", "solution_steps": ["Expand: 4x - 140 = x + 5", "Subtract x from both sides: 3x - 140 = 5", "Add 140 to both sides: 3x = 145", "Divide both sides by 3: x = 145/3"], "final_answer": "145/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 35) = x + 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 35, \"c\": 5}", "seed": "5396568047081397196", "semantic_fingerprint": "sha256:0772e984934815930862710be358f0317ded1d9e395081e66be633c3d71ced9d", "generator_version": "3.0"}
{"id": "v3_test_id_00002672", "prompt": "Evaluate: -85 + 96 * 8", "solution_steps": ["Multiply: 96 * 8 = 768", "Add: -85 + 768 = 683"], "final_answer": "683", "answer_type": "integer", "kind": "expression", "math_text": "-85 + 96 * 8", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": 96, \"c\": 8}", "seed": "5558815012486864624", "semantic_fingerprint": "sha256:4b5641bb746776d99af8aeb299dba9acf7f946f87db52fb1d50a0fc20e1b2f01", "generator_version": "3.0"}
{"id": "v3_test_id_00002673", "prompt": "Solve the equation 3x - 599 = x - 597 for x.", "solution_steps": ["Subtract x from both sides: 2x - 599 = -597", "Add 599 to both sides: 2x = 2", "Divide both sides by 2: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 599 = x - 597", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 599, \"d\": -597, \"x\": 1}", "seed": "2671157173689430952", "semantic_fingerprint": "sha256:d1e8a16381734dca0164de44fb089424f753a4f07ca5615f2c45998590fe0d1c", "generator_version": "3.0"}
{"id": "v3_test_id_00002674", "prompt": "Calculate: 7 / (-55)", "solution_steps": ["Divide: 7 / (-55) = -7/55"], "final_answer": "-7/55", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-55)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -55}", "seed": "9798865403362687835", "semantic_fingerprint": "sha256:351b3f002ff5915c79ba0caf25f0512a644407660cebcb33a05ff9ce2496025b", "generator_version": "3.0"}
{"id": "v3_test_id_00002675", "prompt": "Compute: 249 / 93", "solution_steps": ["Divide: 249 / 93 = 83/31"], "final_answer": "83/31", "answer_type": "rational", "kind": "expression", "math_text": "249 / 93", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 249, \"b\": 93}", "seed": "15363461531571933847", "semantic_fingerprint": "sha256:796cb44d0e908a142ed51df7980991b70dd028cd2e586f7e9c42cd983c0f8a06", "generator_version": "3.0"}
{"id": "v3_test_id_00002676", "prompt": "Evaluate: 8 * 25 / (-3 / (-7) - 7)", "solution_steps": ["Multiply: 8 * 25 = 200", "Divide: -3 / (-7) = 3/7", "Subtract: 3/7 - 7 = -46/7", "Divide: 200 / (-46/7) = -700/23"], "final_answer": "-700/23", "answer_type": "rational", "kind": "expression", "math_text": "8 * 25 / (-3 / (-7) - 7)", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 25, \"c\": -3, \"d\": -7, \"e\": 7}", "seed": "6335038173409413350", "semantic_fingerprint": "sha256:124e2c75c369dbb269267f83530b97bc4ec934a20223bfcb468009cc37d05eb7", "generator_version": "3.0"}
{"id": "v3_test_id_00002677", "prompt": "Compute: 3 / (23 / (-967)) + 5 + 3", "solution_steps": ["Divide: 23 / (-967) = -23/967", "Divide: 3 / (-23/967) = -2901/23", "Add: -2901/23 + 5 = -2786/23", "Add: -2786/23 + 3 = -2717/23"], "final_answer": "-2717/23", "answer_type": "rational", "kind": "expression", "math_text": "3 / (23 / (-967)) + 5 + 3", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 23, \"c\": -967, \"d\": 5, \"e\": 3}", "seed": "5118809429126299355", "semantic_fingerprint": "sha256:41ab7727a77c95e4ec939da26877a39210a5f8f083e7df5d9e202a9de1be4946", "generator_version": "3.0"}
{"id": "v3_test_id_00002678", "prompt": "Calculate: 17 + 8 + 91", "solution_steps": ["Add: 17 + 8 = 25", "Add: 25 + 91 = 116"], "final_answer": "116", "answer_type": "integer", "kind": "expression", "math_text": "17 + 8 + 91", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": 8, \"c\": 91}", "seed": "12306762068423182249", "semantic_fingerprint": "sha256:0849b391e1db12c28a733d31f2eff087abde4a1d66b0696549d153a22271a151", "generator_version": "3.0"}
{"id": "v3_test_id_00002679", "prompt": "Solve the equation 12x + 888 = -12(x - 90) for x.", "solution_steps": ["Expand: 12x + 888 = -12x + 1080", "Add 12x to both sides: 24x + 888 = 1080", "Subtract 888 from both sides: 24x = 192", "Divide both sides by 24: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 888 = -12(x - 90)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -12, \"c\": 90, \"e\": 888, \"x\": 8}", "seed": "3030020302046828815", "semantic_fingerprint": "sha256:5055c69f1d59b1af5706103eea600d27bf9b05f27038f78179ecdf57178c1616", "generator_version": "3.0"}
{"id": "v3_test_id_00002680", "prompt": "Find x: 2x + 561 = 12(x + 9) + 373", "solution_steps": ["Expand: 2x + 561 = 12x + 108 + 373", "Combine constants: 2x + 561 = 12x + 481", "Subtract 12x from both sides: -10x + 561 = 481", "Subtract 561 from both sides: -10x = -80", "Divide both sides by -10: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x + 561 = 12(x + 9) + 373", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 561, \"c\": 12, \"d\": 9, \"f\": 373, \"x\": 8}", "seed": "16612642114585984620", "semantic_fingerprint": "sha256:035ea04bd8c7ad2d3f63b1045535ad2c106ffb133206953bdd4c33b7a4656285", "generator_version": "3.0"}
{"id": "v3_test_id_00002681", "prompt": "What value of x satisfies x - 217 = 7(x + 5) - 360?", "solution_steps": ["Expand: x - 217 = 7x + 35 - 360", "Combine constants: x - 217 = 7x - 325", "Subtract 7x from both sides: -6x - 217 = -325", "Add 217 to both sides: -6x = -108", "Divide both sides by -6: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 217 = 7(x + 5) - 360", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 217, \"b\": 7, \"c\": 5, \"e\": -360, \"x\": 18}", "seed": "7137616422783972370", "semantic_fingerprint": "sha256:c24d99e7cf312fa9228e8079ca5c02aa427436f69a4499b54ba6ff12ad1ed458", "generator_version": "3.0"}
{"id": "v3_test_id_00002682", "prompt": "Find x: x = -2(x - 55) - 149", "solution_steps": ["Expand: x = -2x + 110 - 149", "Combine constants: x = -2x - 39", "Add 2x to both sides: 3x = -39", "Divide both sides by 3: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -2(x - 55) - 149", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 55, \"d\": -149, \"x\": -13}", "seed": "944377944362950586", "semantic_fingerprint": "sha256:fed0a912f9d2fad0d930654ed7810ac94d9d188efe36d28dfc038828d35c4cdb", "generator_version": "3.0"}
{"id": "v3_test_id_00002683", "prompt": "What value of x satisfies 2(x - 8) = x - 26?", "solution_steps": ["Expand: 2x - 16 = x - 26", "Subtract x from both sides: x - 16 = -26", "Add 16 to both sides: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 8) = x - 26", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"d\": -26, \"x\": -10}", "seed": "12089176597671244835", "semantic_fingerprint": "sha256:656a00b3184bfd412743789ea300c8359b8224e03745bc38db7749c8e0096e93", "generator_version": "3.0"}
{"id": "v3_test_id_00002684", "prompt": "Find x: 4(x - 38) - 571 = 3x - 716", "solution_steps": ["Expand: 4x - 152 - 571 = 3x - 716", "Combine constants: 4x - 723 = 3x - 716", "Subtract 3x from both sides: x - 723 = -716", "Add 723 to both sides: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 38) - 571 = 3x - 716", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 38, \"c\": 571, \"d\": 3, \"f\": -716, \"x\": 7}", "seed": "14014616741086896771", "semantic_fingerprint": "sha256:768b70cb0af509a0bfa2265366f381d0642490c45132efaaefc65137ab87fbcd", "generator_version": "3.0"}
{"id": "v3_test_id_00002685", "prompt": "Calculate: 91 / 3 * 190", "solution_steps": ["Divide: 91 / 3 = 91/3", "Multiply: (91/3) * 190 = 17290/3"], "final_answer": "17290/3", "answer_type": "rational", "kind": "expression", "math_text": "91 / 3 * 190", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": 3, \"c\": 190}", "seed": "17359651078871546890", "semantic_fingerprint": "sha256:5db760490066fcf8044a36c0dce415f527982db8d823de0efc7d4282b8c24f84", "generator_version": "3.0"}
{"id": "v3_test_id_00002686", "prompt": "Compute: 26 / (-9)", "solution_steps": ["Divide: 26 / (-9) = -26/9"], "final_answer": "-26/9", "answer_type": "rational", "kind": "expression", "math_text": "26 / (-9)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": -9}", "seed": "4805506799700223338", "semantic_fingerprint": "sha256:e8b72c308a629dc12ef5f650f0b71cc65ea4d938d2d9bf699766bcc3b304ad5e", "generator_version": "3.0"}
{"id": "v3_test_id_00002687", "prompt": "What is 5 / (-79 * 61 / (-3) * 30) * 200?", "solution_steps": ["Multiply: -79 * 61 = -4819", "Divide: -4819 / (-3) = 4819/3", "Multiply: (4819/3) * 30 = 48190", "Divide: 5 / 48190 = 1/9638", "Multiply: (1/9638) * 200 = 100/4819"], "final_answer": "100/4819", "answer_type": "rational", "kind": "expression", "math_text": "5 / (-79 * 61 / (-3) * 30) * 200", "variable": null, "family": "expression_5op", "shape": "(* (/ n (* (/ (* n n) n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -79, \"c\": 61, \"d\": -3, \"e\": 30, \"f\": 200}", "seed": "14234861339759851008", "semantic_fingerprint": "sha256:c5687b9542b0e031b1decb0d9c24bef90b0fbc0f295c5cdf87ddfdc3cf66afc4", "generator_version": "3.0"}
{"id": "v3_test_id_00002688", "prompt": "Calculate: 0 / (-1) + (-97)", "solution_steps": ["Divide: 0 / (-1) = 0", "Add: 0 + (-97) = -97"], "final_answer": "-97", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-1) + (-97)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -1, \"c\": -97}", "seed": "3479709297137027377", "semantic_fingerprint": "sha256:8144e8c3975b9277906ae45367968696876abb614655c0511d874144aaf5e3af", "generator_version": "3.0"}
{"id": "v3_test_id_00002689", "prompt": "Calculate: -33 * 420 / (-748 * (-820))", "solution_steps": ["Multiply: -33 * 420 = -13860", "Multiply: -748 * (-820) = 613360", "Divide: -13860 / 613360 = -63/2788"], "final_answer": "-63/2788", "answer_type": "rational", "kind": "expression", "math_text": "-33 * 420 / (-748 * (-820))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": 420, \"c\": -748, \"d\": -820}", "seed": "16701616702964990258", "semantic_fingerprint": "sha256:f6cd5a32b15c9a3e03cbea415ae0f73c604534ff6b0ce49e98f72f837e6fd230", "generator_version": "3.0"}
{"id": "v3_test_id_00002690", "prompt": "Evaluate: 1 / (8 * (-488))", "solution_steps": ["Multiply: 8 * (-488) = -3904", "Divide: 1 / (-3904) = -1/3904"], "final_answer": "-1/3904", "answer_type": "rational", "kind": "expression", "math_text": "1 / (8 * (-488))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 8, \"c\": -488}", "seed": "3360202025665240542", "semantic_fingerprint": "sha256:e6fb86e3db80d02d35f159492afa7c8a7488ab8eac7d0d39bf711ef6a4effde3", "generator_version": "3.0"}
{"id": "v3_test_id_00002691", "prompt": "Evaluate: -67 + 7", "solution_steps": ["Add: -67 + 7 = -60"], "final_answer": "-60", "answer_type": "integer", "kind": "expression", "math_text": "-67 + 7", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": 7}", "seed": "2315638052919636794", "semantic_fingerprint": "sha256:a6c56864c9ad3220b32028cb0f7db10c338d841826caa1bdde1adbabd34a9c1c", "generator_version": "3.0"}
{"id": "v3_test_id_00002692", "prompt": "Compute: 86 + (-64 + (-86))", "solution_steps": ["Add: -64 + (-86) = -150", "Add: 86 + (-150) = -64"], "final_answer": "-64", "answer_type": "integer", "kind": "expression", "math_text": "86 + (-64 + (-86))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": -64, \"c\": -86}", "seed": "8129708733450596073", "semantic_fingerprint": "sha256:536a990983d9c533e6198b3a618f12b7ab9facf9df2f1af6b78cb6841a5ff94c", "generator_version": "3.0"}
{"id": "v3_test_id_00002693", "prompt": "What value of x satisfies -10x + 62 = 222?", "solution_steps": ["Subtract 62 from both sides: -10x = 160", "Divide both sides by -10: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x + 62 = 222", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 62, \"d\": 222, \"x\": -16}", "seed": "7645312015010954874", "semantic_fingerprint": "sha256:31befc958588fae939e5ff63f655225cb85d5275bca82bae7740b95441c3f373", "generator_version": "3.0"}
{"id": "v3_test_id_00002694", "prompt": "What is 62 * (-7)?", "solution_steps": ["Multiply: 62 * (-7) = -434"], "final_answer": "-434", "answer_type": "integer", "kind": "expression", "math_text": "62 * (-7)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": -7}", "seed": "5743112340937966339", "semantic_fingerprint": "sha256:f681f577aed2876c6b8a37ea5a842b64b1f1e38d447872b44fd0b65adb7f1e39", "generator_version": "3.0"}
{"id": "v3_test_id_00002695", "prompt": "Calculate: -3 - (69 + 3)", "solution_steps": ["Add: 69 + 3 = 72", "Subtract: -3 - 72 = -75"], "final_answer": "-75", "answer_type": "integer", "kind": "expression", "math_text": "-3 - (69 + 3)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 69, \"c\": 3}", "seed": "13619750041373070727", "semantic_fingerprint": "sha256:56ef1156efa3115111b6cc0d71175b76a20a467bf3cfabe0ca1a643434e3db86", "generator_version": "3.0"}
{"id": "v3_test_id_00002696", "prompt": "Solve the equation 2x - 659 = x - 34 for x.", "solution_steps": ["Subtract x from both sides: x - 659 = -34", "Add 659 to both sides: x = 625"], "final_answer": "625", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 659 = x - 34", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 659, \"c\": 34}", "seed": "13369324259992656182", "semantic_fingerprint": "sha256:f7cd2ebdfbf977bae235d624f077db430332cf815a6b1aae00b352f9b5ec9287", "generator_version": "3.0"}
{"id": "v3_test_id_00002697", "prompt": "What is 7 - 54?", "solution_steps": ["Subtract: 7 - 54 = -47"], "final_answer": "-47", "answer_type": "integer", "kind": "expression", "math_text": "7 - 54", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 54}", "seed": "9559168475039275342", "semantic_fingerprint": "sha256:233693c87e4198bd9c8b9018aed31eb16d0dc87ca6cfb6c0d28781c864c5f494", "generator_version": "3.0"}
{"id": "v3_test_id_00002698", "prompt": "Find x: x - 38 = 4(x + 38) - 130", "solution_steps": ["Expand: x - 38 = 4x + 152 - 130", "Combine constants: x - 38 = 4x + 22", "Subtract 4x from both sides: -3x - 38 = 22", "Add 38 to both sides: -3x = 60", "Divide both sides by -3: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 38 = 4(x + 38) - 130", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": 4, \"c\": 38, \"e\": -130, \"x\": -20}", "seed": "14467892596923554068", "semantic_fingerprint": "sha256:b00a916ee6e2aa476edfea8550b7f0d8d3cbe4baa54cb1e55f9316052cc3336a", "generator_version": "3.0"}
{"id": "v3_test_id_00002699", "prompt": "Solve the equation -3(x + 4) - 108 = -12(x - 2) for x.", "solution_steps": ["Expand: -3x - 12 - 108 = -12(x - 2)", "Expand: -3x - 12 - 108 = -12x + 24", "Combine constants: -3x - 120 = -12x + 24", "Add 12x to both sides: 9x - 120 = 24", "Add 120 to both sides: 9x = 144", "Divide both sides by 9: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 4) - 108 = -12(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\": 4, \"c\": -12, \"d\": 2, \"f\": -108, \"x\": 16}", "seed": "16324412186848348799", "semantic_fingerprint": "sha256:361b972bc192e173496a83b72cd992fde7d54276bab171ea531509a08191595e", "generator_version": "3.0"}
{"id": "v3_test_id_00002700", "prompt": "Calculate: 76 + (59 - 55 * 17)", "solution_steps": ["Multiply: 55 * 17 = 935", "Subtract: 59 - 935 = -876", "Add: 76 + (-876) = -800"], "final_answer": "-800", "answer_type": "integer", "kind": "expression", "math_text": "76 + (59 - 55 * 17)", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 59, \"c\": 55, \"d\": 17}", "seed": "720264281566110846", "semantic_fingerprint": "sha256:8b0219f4844daf9d99073c823847e891153d1f3d172ba61d8aaf093640b6caa1", "generator_version": "3.0"}
{"id": "v3_test_id_00002701", "prompt": "What is 9 + (5 + (-50))?", "solution_steps": ["Add: 5 + (-50) = -45", "Add: 9 + (-45) = -36"], "final_answer": "-36", "answer_type": "integer", "kind": "expression", "math_text": "9 + (5 + (-50))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": -50}", "seed": "3944602346881246895", "semantic_fingerprint": "sha256:d1aedabeeaa66ec9ff1e3ecedf78c7f0689c46855bc62095ef08335907828844", "generator_version": "3.0"}
{"id": "v3_test_id_00002702", "prompt": "Calculate: -79 / (-5) * 5 * 392", "solution_steps": ["Divide: -79 / (-5) = 79/5", "Multiply: (79/5) * 5 = 79", "Multiply: 79 * 392 = 30968"], "final_answer": "30968", "answer_type": "integer", "kind": "expression", "math_text": "-79 / (-5) * 5 * 392", "variable": null, "family": "expression_3op", "shape": "(* (* (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": -5, \"c\": 5, \"d\": 392}", "seed": "9037149191372022494", "semantic_fingerprint": "sha256:6e3b99046af3ecb6390af9aba5c0d3e1c3761b77eb07041ed003e76b6d15454c", "generator_version": "3.0"}
{"id": "v3_test_id_00002703", "prompt": "Solve the equation x + 90 = 10x for x.", "solution_steps": ["Subtract 10x from both sides: -9x + 90 = 0", "Subtract 90 from both sides: -9x = -90", "Divide both sides by -9: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 90 = 10x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 10, \"c\": 90, \"x\": 10}", "seed": "8478206117291322123", "semantic_fingerprint": "sha256:95e5f55d74c933216dde2c2c390007fb6a7736e3e1f3de7ecf21df1eee20f5b1", "generator_version": "3.0"}
{"id": "v3_test_id_00002704", "prompt": "Calculate: 63 * (-3) - (0 + (-32) * (-5) + 729)", "solution_steps": ["Multiply: 63 * (-3) = -189", "Multiply: -32 * (-5) = 160", "Add: 0 + 160 = 160", "Add: 160 + 729 = 889", "Subtract: -189 - 889 = -1078"], "final_answer": "-1078", "answer_type": "integer", "kind": "expression", "math_text": "63 * (-3) - (0 + (-32) * (-5) + 729)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (+ (+ n (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": -3, \"c\": 0, \"d\": -32, \"e\": -5, \"f\": 729}", "seed": "15203198412864772588", "semantic_fingerprint": "sha256:6a19f72374d7572734b25eff4f151f8854d09cb5909dbc52a79c1ee5b1d96605", "generator_version": "3.0"}
{"id": "v3_test_id_00002705", "prompt": "Compute: -31 + 0", "solution_steps": ["Add: -31 + 0 = -31"], "final_answer": "-31", "answer_type": "integer", "kind": "expression", "math_text": "-31 + 0", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -31, \"b\": 0}", "seed": "8905702547513041557", "semantic_fingerprint": "sha256:463eca1d0b5d6e31d2b62af25760a7921055c2fc8338be968c9cc012aac7271b", "generator_version": "3.0"}
{"id": "v3_test_id_00002706", "prompt": "What value of x satisfies 8(x + 1) = -2(x + 682)?", "solution_steps": ["Expand: 8x + 8 = -2(x + 682)", "Expand: 8x + 8 = -2x - 1364", "Add 2x to both sides: 10x + 8 = -1364", "Subtract 8 from both sides: 10x = -1372", "Divide both sides by 10: x = -686/5"], "final_answer": "-686/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 1) = -2(x + 682)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1, \"c\": -2, \"d\": 682}", "seed": "10775710636078033593", "semantic_fingerprint": "sha256:d6ff5406dbf7c7f3b39b1b23723f6ee364a9aaace18d33ea419983fb324beb95", "generator_version": "3.0"}
{"id": "v3_test_id_00002707", "prompt": "What is -1 * (-53 - (-699))?", "solution_steps": ["Subtract: -53 - (-699) = 646", "Multiply: -1 * 646 = -646"], "final_answer": "-646", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (-53 - (-699))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -53, \"c\": -699}", "seed": "14270637752573210336", "semantic_fingerprint": "sha256:8f51906186128c2c5853b4859588afd60b1547737901a196d77c0dedef5e3c2b", "generator_version": "3.0"}
{"id": "v3_test_id_00002708", "prompt": "Compute: -34 - (-58) + (933 - (-416) * (-1))", "solution_steps": ["Subtract: -34 - (-58) = 24", "Multiply: -416 * (-1) = 416", "Subtract: 933 - 416 = 517", "Add: 24 + 517 = 541"], "final_answer": "541", "answer_type": "integer", "kind": "expression", "math_text": "-34 - (-58) + (933 - (-416) * (-1))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -34, \"b\": -58, \"c\": 933, \"d\": -416, \"e\": -1}", "seed": "7755485761381585948", "semantic_fingerprint": "sha256:4fe632f2138f295772aef4d261c8af9b086bf0bd6039b877549af74cb91680aa", "generator_version": "3.0"}
{"id": "v3_test_id_00002709", "prompt": "Solve the equation 8(x - 45) + 4 = -10x - 87 for x.", "solution_steps": ["Expand: 8x - 360 + 4 = -10x - 87", "Combine constants: 8x - 356 = -10x - 87", "Add 10x to both sides: 18x - 356 = -87", "Add 356 to both sides: 18x = 269", "Divide both sides by 18: x = 269/18"], "final_answer": "269/18", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 45) + 4 = -10x - 87", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 45, \"c\": 4, \"d\": -10, \"e\": 87}", "seed": "10806244908258393136", "semantic_fingerprint": "sha256:0011c9bfa2493925a0978612e152bed3e9ec0f63277d5bb96cbfce12774fcbed", "generator_version": "3.0"}
{"id": "v3_test_id_00002710", "prompt": "What is (26 + (-64 - 13)) / (-497 + (-5))?", "solution_steps": ["Subtract: -64 - 13 = -77", "Add: 26 + (-77) = -51", "Add: -497 + (-5) = -502", "Divide: -51 / (-502) = 51/502"], "final_answer": "51/502", "answer_type": "rational", "kind": "expression", "math_text": "(26 + (-64 - 13)) / (-497 + (-5))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": -64, \"c\": 13, \"d\": -497, \"e\": -5}", "seed": "4853953767800789607", "semantic_fingerprint": "sha256:4b03523b19167fba0e0a82b5b2c8e6d43b37b507872e49738249cf36a1bef66e", "generator_version": "3.0"}
{"id": "v3_test_id_00002711", "prompt": "Find x: 6x + 6 = x + 96", "solution_steps": ["Subtract x from both sides: 5x + 6 = 96", "Subtract 6 from both sides: 5x = 90", "Divide both sides by 5: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x + 6 = x + 96", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"d\": 96, \"x\": 18}", "seed": "378020676968334419", "semantic_fingerprint": "sha256:9a416508f540d569e1c4c4ddc9033afe9e7ad68ffd1be3066903b89d8976aab1", "generator_version": "3.0"}
{"id": "v3_test_id_00002712", "prompt": "Solve the equation -6x = 12(x + 842) for x.", "solution_steps": ["Expand: -6x = 12x + 10104", "Subtract 12x from both sides: -18x = 10104", "Divide both sides by -18: x = -1684/3"], "final_answer": "-1684/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6x = 12(x + 842)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 12, \"c\": 842}", "seed": "14645753722812840453", "semantic_fingerprint": "sha256:6fc210ab519f64b62905e6056814d1539dd27e808cbec3c23ed23b8dca4e0912", "generator_version": "3.0"}
{"id": "v3_test_id_00002713", "prompt": "Evaluate: -81 + (-58 + 8)", "solution_steps": ["Add: -58 + 8 = -50", "Add: -81 + (-50) = -131"], "final_answer": "-131", "answer_type": "integer", "kind": "expression", "math_text": "-81 + (-58 + 8)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": -58, \"c\": 8}", "seed": "14643091921132310933", "semantic_fingerprint": "sha256:ec6a8d003398e6f7be445985163eaf0cc243901971e0f2b646ea23fe1cc32abe", "generator_version": "3.0"}
{"id": "v3_test_id_00002714", "prompt": "Find x: -9(x + 8) - 414 = 4(x - 128)", "solution_steps": ["Expand: -9x - 72 - 414 = 4(x - 128)", "Expand: -9x - 72 - 414 = 4x - 512", "Combine constants: -9x - 486 = 4x - 512", "Subtract 4x from both sides: -13x - 486 = -512", "Add 486 to both sides: -13x = -26", "Divide both sides by -13: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 8) - 414 = 4(x - 128)", "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\": 4, \"d\": 128, \"f\": -414, \"x\": 2}", "seed": "259716107068877509", "semantic_fingerprint": "sha256:b9355e58fff7d8cbd9e00bf6f7fa4210dcb168a86be4246c107b00f189fe4630", "generator_version": "3.0"}
{"id": "v3_test_id_00002715", "prompt": "What is -666 * (-26)?", "solution_steps": ["Multiply: -666 * (-26) = 17316"], "final_answer": "17316", "answer_type": "integer", "kind": "expression", "math_text": "-666 * (-26)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -666, \"b\": -26}", "seed": "8217368414257947759", "semantic_fingerprint": "sha256:750aa2efe93205adadbd2e4df529449647476a5995c34f53b79e2e6701fd1935", "generator_version": "3.0"}
{"id": "v3_test_id_00002716", "prompt": "Compute: 4 * 1 + (-296)", "solution_steps": ["Multiply: 4 * 1 = 4", "Add: 4 + (-296) = -292"], "final_answer": "-292", "answer_type": "integer", "kind": "expression", "math_text": "4 * 1 + (-296)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": -296}", "seed": "6279857126176655967", "semantic_fingerprint": "sha256:018dd9ed4217c38a79f55bebddffac3b4a19ccbf84e4dd299d77766a09b313e8", "generator_version": "3.0"}
{"id": "v3_test_id_00002717", "prompt": "What value of x satisfies x + 9 = -7x - 3?", "solution_steps": ["Add 7x to both sides: 8x + 9 = -3", "Subtract 9 from both sides: 8x = -12", "Divide both sides by 8: x = -3/2"], "final_answer": "-3/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 9 = -7x - 3", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -7, \"c\": 3}", "seed": "10336270540746537826", "semantic_fingerprint": "sha256:6154747459d9a59c3ab58f7146f9cae2830e504ace10be408ace45c7b8cb0082", "generator_version": "3.0"}
{"id": "v3_test_id_00002718", "prompt": "Calculate: -1 * 149 - (7 + 389)", "solution_steps": ["Multiply: -1 * 149 = -149", "Add: 7 + 389 = 396", "Subtract: -149 - 396 = -545"], "final_answer": "-545", "answer_type": "integer", "kind": "expression", "math_text": "-1 * 149 - (7 + 389)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 149, \"c\": 7, \"d\": 389}", "seed": "628591464989018778", "semantic_fingerprint": "sha256:6c6722bc2542511e812e58ade7ff793883d938887e1414f1278032a80c884435", "generator_version": "3.0"}
{"id": "v3_test_id_00002719", "prompt": "Calculate: -146 / (-49)", "solution_steps": ["Divide: -146 / (-49) = 146/49"], "final_answer": "146/49", "answer_type": "rational", "kind": "expression", "math_text": "-146 / (-49)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -146, \"b\": -49}", "seed": "15968599224559169938", "semantic_fingerprint": "sha256:7d9e700d1d83feedcccaf691914e84f8246d7e792d2fa1cd46d8046e337c9d6d", "generator_version": "3.0"}
{"id": "v3_test_id_00002720", "prompt": "Compute: 4 * (-6) / 57", "solution_steps": ["Multiply: 4 * (-6) = -24", "Divide: -24 / 57 = -8/19"], "final_answer": "-8/19", "answer_type": "rational", "kind": "expression", "math_text": "4 * (-6) / 57", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -6, \"c\": 57}", "seed": "9875411282433450846", "semantic_fingerprint": "sha256:28d764ae998d64ef6e5fe05d54cefb5dc8a0073d764121adb899ddffd7d31ed9", "generator_version": "3.0"}
{"id": "v3_test_id_00002721", "prompt": "What is 0 / (-495)?", "solution_steps": ["Divide: 0 / (-495) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-495)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -495}", "seed": "3617871185745064574", "semantic_fingerprint": "sha256:13dcea6add279f4f5a35db2f8f4e8527ed3c932da03a6a0837985dd3510dfb2b", "generator_version": "3.0"}
{"id": "v3_test_id_00002722", "prompt": "Solve the equation 4(x - 9) - 284 = 12(x + 2) - 5 for x.", "solution_steps": ["Expand: 4x - 36 - 284 = 12(x + 2) - 5", "Expand: 4x - 36 - 284 = 12x + 24 - 5", "Combine constants: 4x - 320 = 12x + 24 - 5", "Combine constants: 4x - 320 = 12x + 19", "Subtract 12x from both sides: -8x - 320 = 19", "Add 320 to both sides: -8x = 339", "Divide both sides by -8: x = -339/8"], "final_answer": "-339/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 9) - 284 = 12(x + 2) - 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 284, \"d\": 12, \"e\": 2, \"f\": 5}", "seed": "363459118449579008", "semantic_fingerprint": "sha256:fa2867de2ea15531c4cb443c83ec7d71ba4c5e5897480583ec6856da158abdb6", "generator_version": "3.0"}
{"id": "v3_test_id_00002723", "prompt": "Calculate: 2 - (-38) - (-48)", "solution_steps": ["Subtract: 2 - (-38) = 40", "Subtract: 40 - (-48) = 88"], "final_answer": "88", "answer_type": "integer", "kind": "expression", "math_text": "2 - (-38) - (-48)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -38, \"c\": -48}", "seed": "17863730548767812003", "semantic_fingerprint": "sha256:a9d1bcace7a38c3891c228b64d1fcd067523f7009ddd3478c9a613df1952ccb1", "generator_version": "3.0"}
{"id": "v3_test_id_00002724", "prompt": "Evaluate: (4 - 100) * 767 - (3 - (-48))", "solution_steps": ["Subtract: 4 - 100 = -96", "Multiply: -96 * 767 = -73632", "Subtract: 3 - (-48) = 51", "Subtract: -73632 - 51 = -73683"], "final_answer": "-73683", "answer_type": "integer", "kind": "expression", "math_text": "(4 - 100) * 767 - (3 - (-48))", "variable": null, "family": "expression_4op", "shape": "(- (* (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 100, \"c\": 767, \"d\": 3, \"e\": -48}", "seed": "13927729027963685458", "semantic_fingerprint": "sha256:70817dad9caa130129a0c5ae93a957d9362fe6de8c822500625b578821a8e74c", "generator_version": "3.0"}
{"id": "v3_test_id_00002725", "prompt": "Compute: (-421 - (-97)) / 32", "solution_steps": ["Subtract: -421 - (-97) = -324", "Divide: -324 / 32 = -81/8"], "final_answer": "-81/8", "answer_type": "rational", "kind": "expression", "math_text": "(-421 - (-97)) / 32", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -421, \"b\": -97, \"c\": 32}", "seed": "4520632691784230010", "semantic_fingerprint": "sha256:1c3bf8e2d04044064b9cca28fcb28bc9655357713738bd0e5b65803ea1b213a8", "generator_version": "3.0"}
{"id": "v3_test_id_00002726", "prompt": "What is -42 / 24 / 1?", "solution_steps": ["Divide: -42 / 24 = -7/4", "Divide: (-7/4) / 1 = -7/4"], "final_answer": "-7/4", "answer_type": "rational", "kind": "expression", "math_text": "-42 / 24 / 1", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": 24, \"c\": 1}", "seed": "574930337730278168", "semantic_fingerprint": "sha256:85d654c54f99aa9e047548df8e729848e752a31bb5dba8513bc4b2dfe2fb8836", "generator_version": "3.0"}
{"id": "v3_test_id_00002727", "prompt": "Find x: 4(x - 5) = 2(x - 9)", "solution_steps": ["Expand: 4x - 20 = 2(x - 9)", "Expand: 4x - 20 = 2x - 18", "Subtract 2x from both sides: 2x - 20 = -18", "Add 20 to both sides: 2x = 2", "Divide both sides by 2: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 5) = 2(x - 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": 2, \"d\": 9}", "seed": "12881278112497983108", "semantic_fingerprint": "sha256:d669456cef653f3629b1581ed3670dfca5f966a0331e877212b37b7cd365443e", "generator_version": "3.0"}
{"id": "v3_test_id_00002728", "prompt": "Solve the equation 11(x - 5) + 443 = -4(x + 688) + 8 for x.", "solution_steps": ["Expand: 11x - 55 + 443 = -4(x + 688) + 8", "Expand: 11x - 55 + 443 = -4x - 2752 + 8", "Combine constants: 11x + 388 = -4x - 2752 + 8", "Combine constants: 11x + 388 = -4x - 2744", "Add 4x to both sides: 15x + 388 = -2744", "Subtract 388 from both sides: 15x = -3132", "Divide both sides by 15: x = -1044/5"], "final_answer": "-1044/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 5) + 443 = -4(x + 688) + 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": 443, \"d\": -4, \"e\": 688, \"f\": 8}", "seed": "16503119735979010710", "semantic_fingerprint": "sha256:0a1a7d0df23b461fedeb5515c7912a3e0ed380d161e1edd60ecf3f5deaf0223d", "generator_version": "3.0"}
{"id": "v3_test_id_00002729", "prompt": "Solve for x: 5(x - 21) + 6 = x + 49", "solution_steps": ["Expand: 5x - 105 + 6 = x + 49", "Combine constants: 5x - 99 = x + 49", "Subtract x from both sides: 4x - 99 = 49", "Add 99 to both sides: 4x = 148", "Divide both sides by 4: x = 37"], "final_answer": "37", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 21) + 6 = x + 49", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 21, \"c\": 6, \"d\": 49}", "seed": "8596175595871000818", "semantic_fingerprint": "sha256:47dfc4be20640512511242ac36cbea84807d86753475d4c4df11f6a13219a20b", "generator_version": "3.0"}
{"id": "v3_test_id_00002730", "prompt": "Compute: 64 + 120 - 74 - (-628)", "solution_steps": ["Add: 64 + 120 = 184", "Subtract: 184 - 74 = 110", "Subtract: 110 - (-628) = 738"], "final_answer": "738", "answer_type": "integer", "kind": "expression", "math_text": "64 + 120 - 74 - (-628)", "variable": null, "family": "expression_3op", "shape": "(- (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": 120, \"c\": 74, \"d\": -628}", "seed": "9580432411200302669", "semantic_fingerprint": "sha256:b3b6e079c1706ad6753fe6811cf8e7363ad369584449bb83a42f18517ec07731", "generator_version": "3.0"}
{"id": "v3_test_id_00002731", "prompt": "Solve the equation 9(x - 949) = 11(x - 34) - 85 for x.", "solution_steps": ["Expand: 9x - 8541 = 11(x - 34) - 85", "Expand: 9x - 8541 = 11x - 374 - 85", "Combine constants: 9x - 8541 = 11x - 459", "Subtract 11x from both sides: -2x - 8541 = -459", "Add 8541 to both sides: -2x = 8082", "Divide both sides by -2: x = -4041"], "final_answer": "-4041", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 949) = 11(x - 34) - 85", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 949, \"c\": 11, \"d\": 34, \"e\": 85}", "seed": "12294328469040656527", "semantic_fingerprint": "sha256:167c41de5671562137632873c9a5c56d951f43fb6e4b310d5c22fcc3189bb794", "generator_version": "3.0"}
{"id": "v3_test_id_00002732", "prompt": "Solve the equation 6(x - 2) - 72 = x - 174 for x.", "solution_steps": ["Expand: 6x - 12 - 72 = x - 174", "Combine constants: 6x - 84 = x - 174", "Subtract x from both sides: 5x - 84 = -174", "Add 84 to both sides: 5x = -90", "Divide both sides by 5: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 2) - 72 = x - 174", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 72, \"e\": -174, \"x\": -18}", "seed": "11449000920841797976", "semantic_fingerprint": "sha256:5de0e05003197aa17b2099ccb652b8ca6d1a7d5342e0949f48d4ed1f35b01df5", "generator_version": "3.0"}
{"id": "v3_test_id_00002733", "prompt": "Calculate: 61 + (-86) + 12", "solution_steps": ["Add: 61 + (-86) = -25", "Add: -25 + 12 = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "expression", "math_text": "61 + (-86) + 12", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": -86, \"c\": 12}", "seed": "1471505871973689978", "semantic_fingerprint": "sha256:6559d27ca3aa1b92a55edd829b4918cb9f02cb073670586105bb7ae13a20e718", "generator_version": "3.0"}
{"id": "v3_test_id_00002734", "prompt": "Solve for x: 10(x + 1) - 15 = 6x", "solution_steps": ["Expand: 10x + 10 - 15 = 6x", "Combine constants: 10x - 5 = 6x", "Subtract 6x from both sides: 4x - 5 = 0", "Add 5 to both sides: 4x = 5", "Divide both sides by 4: x = 5/4"], "final_answer": "5/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 1) - 15 = 6x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 1, \"c\": 15, \"d\": 6}", "seed": "15278654621647827592", "semantic_fingerprint": "sha256:0f62c586cd7509c680ddff106e487a68e0ab65234e2d0bd2924846ed2ca18ab7", "generator_version": "3.0"}
{"id": "v3_test_id_00002735", "prompt": "Evaluate: 95 / (662 / 1 - 27 + 99) - 0", "solution_steps": ["Divide: 662 / 1 = 662", "Subtract: 662 - 27 = 635", "Add: 635 + 99 = 734", "Divide: 95 / 734 = 95/734", "Subtract: 95/734 - 0 = 95/734"], "final_answer": "95/734", "answer_type": "rational", "kind": "expression", "math_text": "95 / (662 / 1 - 27 + 99) - 0", "variable": null, "family": "expression_5op", "shape": "(- (/ n (+ (- (/ n n) n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": 662, \"c\": 1, \"d\": 27, \"e\": 99, \"f\": 0}", "seed": "10537276111895026700", "semantic_fingerprint": "sha256:046aeff2ea1ad43c734d4f06c695a6a0ece899752ebe707f03a69264ed33ecbe", "generator_version": "3.0"}
{"id": "v3_test_id_00002736", "prompt": "What value of x satisfies 9x = -9(x + 43)?", "solution_steps": ["Expand: 9x = -9x - 387", "Add 9x to both sides: 18x = -387", "Divide both sides by 18: x = -43/2"], "final_answer": "-43/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x = -9(x + 43)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -9, \"c\": 43}", "seed": "1480951567074097723", "semantic_fingerprint": "sha256:750d1ccd8a3c57c2ba961d8764474630236e7f8fd8c21899e2492b664398efad", "generator_version": "3.0"}
{"id": "v3_test_id_00002737", "prompt": "What is -9 * (-2 - 440) / 77 + (-1)?", "solution_steps": ["Subtract: -2 - 440 = -442", "Multiply: -9 * (-442) = 3978", "Divide: 3978 / 77 = 3978/77", "Add: 3978/77 + (-1) = 3901/77"], "final_answer": "3901/77", "answer_type": "rational", "kind": "expression", "math_text": "-9 * (-2 - 440) / 77 + (-1)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -2, \"c\": 440, \"d\": 77, \"e\": -1}", "seed": "14199806469895970892", "semantic_fingerprint": "sha256:007776fa477114fd2c2a385d32d2ad62ffedfd1bf87c592f0731043ce7e9420c", "generator_version": "3.0"}
{"id": "v3_test_id_00002738", "prompt": "Find x: -11(x - 4) = 10x", "solution_steps": ["Expand: -11x + 44 = 10x", "Subtract 10x from both sides: -21x + 44 = 0", "Subtract 44 from both sides: -21x = -44", "Divide both sides by -21: x = 44/21"], "final_answer": "44/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 4) = 10x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 4, \"c\": 10}", "seed": "14232697046089168931", "semantic_fingerprint": "sha256:af9ab5d94649b0a06648ad0e01c6a070c9928b2c90817498d5b66465aee63c34", "generator_version": "3.0"}
{"id": "v3_test_id_00002739", "prompt": "What is -8 * (-7)?", "solution_steps": ["Multiply: -8 * (-7) = 56"], "final_answer": "56", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (-7)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -7}", "seed": "12831473740704991334", "semantic_fingerprint": "sha256:13298345fa30307b8d0e48432821b63bca91698cf9505fbeb564f6014be5c8bc", "generator_version": "3.0"}
{"id": "v3_test_id_00002740", "prompt": "What is 65 + (-90 - (-9 / (-683) - (-45)))?", "solution_steps": ["Divide: -9 / (-683) = 9/683", "Subtract: 9/683 - (-45) = 30744/683", "Subtract: -90 - 30744/683 = -92214/683", "Add: 65 + (-92214/683) = -47819/683"], "final_answer": "-47819/683", "answer_type": "rational", "kind": "expression", "math_text": "65 + (-90 - (-9 / (-683) - (-45)))", "variable": null, "family": "expression_4op", "shape": "(+ n (- n (- (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -90, \"c\": -9, \"d\": -683, \"e\": -45}", "seed": "17547598612281268057", "semantic_fingerprint": "sha256:4b08afda357cd74e284417929aa8379d4262bd3400483b1c12344a3228b39175", "generator_version": "3.0"}
{"id": "v3_test_id_00002741", "prompt": "What is (-4 * (-10) + 75) / (-440 - (-11))?", "solution_steps": ["Multiply: -4 * (-10) = 40", "Add: 40 + 75 = 115", "Subtract: -440 - (-11) = -429", "Divide: 115 / (-429) = -115/429"], "final_answer": "-115/429", "answer_type": "rational", "kind": "expression", "math_text": "(-4 * (-10) + 75) / (-440 - (-11))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -10, \"c\": 75, \"d\": -440, \"e\": -11}", "seed": "3064436635307619778", "semantic_fingerprint": "sha256:03da3edfaf629a174298e61cc73a70b3d4259b3e6c08d425a2c4984ef5449e80", "generator_version": "3.0"}
{"id": "v3_test_id_00002742", "prompt": "Solve for x: 10x - 1 = 7(x - 127) + 936", "solution_steps": ["Expand: 10x - 1 = 7x - 889 + 936", "Combine constants: 10x - 1 = 7x + 47", "Subtract 7x from both sides: 3x - 1 = 47", "Add 1 to both sides: 3x = 48", "Divide both sides by 3: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 1 = 7(x - 127) + 936", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 1, \"c\": 7, \"d\": 127, \"f\": 936, \"x\": 16}", "seed": "10230108683358558647", "semantic_fingerprint": "sha256:51d643544194f706b84eba94663bafe2230a6ea20dd845b3c460083ad85d8395", "generator_version": "3.0"}
{"id": "v3_test_id_00002743", "prompt": "What value of x satisfies -4x - 82 = 0?", "solution_steps": ["Add 82 to both sides: -4x = 82", "Divide both sides by -4: x = -41/2"], "final_answer": "-41/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4x - 82 = 0", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 82, \"c\": 0}", "seed": "3310276015476445353", "semantic_fingerprint": "sha256:755b04b93c245510a6fe535653215128342a77ab9a9c196adc8a56c2c6ba176a", "generator_version": "3.0"}
{"id": "v3_test_id_00002744", "prompt": "What is 35 - 561?", "solution_steps": ["Subtract: 35 - 561 = -526"], "final_answer": "-526", "answer_type": "integer", "kind": "expression", "math_text": "35 - 561", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": 561}", "seed": "17410367212968782669", "semantic_fingerprint": "sha256:0fa2281250ab8351a5ccd1dfb3b0f94cca7274ce8612dff77afb06756d766292", "generator_version": "3.0"}
{"id": "v3_test_id_00002745", "prompt": "Solve for x: -11(x - 98) + 168 = -4x", "solution_steps": ["Expand: -11x + 1078 + 168 = -4x", "Combine constants: -11x + 1246 = -4x", "Add 4x to both sides: -7x + 1246 = 0", "Subtract 1246 from both sides: -7x = -1246", "Divide both sides by -7: x = 178"], "final_answer": "178", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 98) + 168 = -4x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 98, \"c\": 168, \"d\": -4}", "seed": "3187032441589169148", "semantic_fingerprint": "sha256:89d1d119c25d854ec79b9cf1dc4118896bf81334eeff5e7adaa8b400cfe68707", "generator_version": "3.0"}
{"id": "v3_test_id_00002746", "prompt": "Calculate: -988 / (5 - 15)", "solution_steps": ["Subtract: 5 - 15 = -10", "Divide: -988 / (-10) = 494/5"], "final_answer": "494/5", "answer_type": "rational", "kind": "expression", "math_text": "-988 / (5 - 15)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -988, \"b\": 5, \"c\": 15}", "seed": "17560021878958611626", "semantic_fingerprint": "sha256:2fcce533f81ccd60f20f30340eea79e76c2de240c5d115225ef5792e54ae2753", "generator_version": "3.0"}
{"id": "v3_test_id_00002747", "prompt": "Evaluate: 56 / 35 - (-775) / (-560)", "solution_steps": ["Divide: 56 / 35 = 8/5", "Divide: -775 / (-560) = 155/112", "Subtract: 8/5 - 155/112 = 121/560"], "final_answer": "121/560", "answer_type": "rational", "kind": "expression", "math_text": "56 / 35 - (-775) / (-560)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 35, \"c\": -775, \"d\": -560}", "seed": "10021537812661798585", "semantic_fingerprint": "sha256:12ebcada481b2a3567b065075f437355f291f0339ed9c4f9807fe71236ac6c50", "generator_version": "3.0"}
{"id": "v3_test_id_00002748", "prompt": "What is -611 / 60?", "solution_steps": ["Divide: -611 / 60 = -611/60"], "final_answer": "-611/60", "answer_type": "rational", "kind": "expression", "math_text": "-611 / 60", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -611, \"b\": 60}", "seed": "14286817951594589932", "semantic_fingerprint": "sha256:2ef6b63fb1a8bbb206780bf762f09b0443273047a67491f0df7b742d9c4a1f10", "generator_version": "3.0"}
{"id": "v3_test_id_00002749", "prompt": "What value of x satisfies -6x = 3(x - 18) + 27?", "solution_steps": ["Expand: -6x = 3x - 54 + 27", "Combine constants: -6x = 3x - 27", "Subtract 3x from both sides: -9x = -27", "Divide both sides by -9: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x = 3(x - 18) + 27", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 3, \"c\": 18, \"e\": 27, \"x\": 3}", "seed": "6933694647921247402", "semantic_fingerprint": "sha256:13221d28de80e78e6468e886783cae74558335f91ba7add6bf1bfa6e795f92be", "generator_version": "3.0"}
{"id": "v3_test_id_00002750", "prompt": "Find x: x - 14 = 6(x - 3)", "solution_steps": ["Expand: x - 14 = 6x - 18", "Subtract 6x from both sides: -5x - 14 = -18", "Add 14 to both sides: -5x = -4", "Divide both sides by -5: x = 4/5"], "final_answer": "4/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 14 = 6(x - 3)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 6, \"c\": 3}", "seed": "8599171797632211", "semantic_fingerprint": "sha256:9b1d0feac0a1fdfc8f2c7d8e86bd76c9e9f0ed80f1c88d8329dac7e11e614a0c", "generator_version": "3.0"}
{"id": "v3_test_id_00002751", "prompt": "Calculate: -147 - (-7) + 374 * (-947) + (-28)", "solution_steps": ["Subtract: -147 - (-7) = -140", "Multiply: 374 * (-947) = -354178", "Add: -140 + (-354178) = -354318", "Add: -354318 + (-28) = -354346"], "final_answer": "-354346", "answer_type": "integer", "kind": "expression", "math_text": "-147 - (-7) + 374 * (-947) + (-28)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -147, \"b\": -7, \"c\": 374, \"d\": -947, \"e\": -28}", "seed": "13140557260253121841", "semantic_fingerprint": "sha256:69d7b26c399bf9e6075599619a36dbcf87cb2b5d10702bf20312de169ddce82e", "generator_version": "3.0"}
{"id": "v3_test_id_00002752", "prompt": "Find x: 11(x - 937) = 9(x + 46) - 4", "solution_steps": ["Expand: 11x - 10307 = 9(x + 46) - 4", "Expand: 11x - 10307 = 9x + 414 - 4", "Combine constants: 11x - 10307 = 9x + 410", "Subtract 9x from both sides: 2x - 10307 = 410", "Add 10307 to both sides: 2x = 10717", "Divide both sides by 2: x = 10717/2"], "final_answer": "10717/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 937) = 9(x + 46) - 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 937, \"c\": 9, \"d\": 46, \"e\": 4}", "seed": "1629404626745418034", "semantic_fingerprint": "sha256:bdf363ceed034e9565c20a81a2e2c61f425bc3fb285588c747fde98843f0487d", "generator_version": "3.0"}
{"id": "v3_test_id_00002753", "prompt": "Evaluate: -60 + 72", "solution_steps": ["Add: -60 + 72 = 12"], "final_answer": "12", "answer_type": "integer", "kind": "expression", "math_text": "-60 + 72", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": 72}", "seed": "1677393703346536138", "semantic_fingerprint": "sha256:ec2aa44f077cfe5de9e72f44cf24da2588d60ce54d307aa3ec8ece0ed6bda4ed", "generator_version": "3.0"}
{"id": "v3_test_id_00002754", "prompt": "What value of x satisfies 9x + 160 = x?", "solution_steps": ["Subtract x from both sides: 8x + 160 = 0", "Subtract 160 from both sides: 8x = -160", "Divide both sides by 8: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x + 160 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"c\": 160, \"x\": -20}", "seed": "5704580960792535849", "semantic_fingerprint": "sha256:d985b087d60a6b9fc69d07caac07ec4996d8127985f0f9402d2d08dcf1a52ba5", "generator_version": "3.0"}
{"id": "v3_test_id_00002755", "prompt": "What is (-24 + (-340)) / 52?", "solution_steps": ["Add: -24 + (-340) = -364", "Divide: -364 / 52 = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "expression", "math_text": "(-24 + (-340)) / 52", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": -340, \"c\": 52}", "seed": "9636551391688065204", "semantic_fingerprint": "sha256:c3d0a391a0254836c661debcf5112d9e54c1ca0a1b9e1f9738a42c614dedc911", "generator_version": "3.0"}
{"id": "v3_test_id_00002756", "prompt": "What value of x satisfies 11(x - 7) = -8x + 94?", "solution_steps": ["Expand: 11x - 77 = -8x + 94", "Add 8x to both sides: 19x - 77 = 94", "Add 77 to both sides: 19x = 171", "Divide both sides by 19: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 7) = -8x + 94", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 7, \"c\": -8, \"e\": 94, \"x\": 9}", "seed": "903066077923045852", "semantic_fingerprint": "sha256:a7e0c5e9e6502d90cf9d509fb440a8f00dd79ec2a2ef1ad03624a4821d06ff73", "generator_version": "3.0"}
{"id": "v3_test_id_00002757", "prompt": "What is -4 / (-84)?", "solution_steps": ["Divide: -4 / (-84) = 1/21"], "final_answer": "1/21", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-84)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -84}", "seed": "3143839343190491867", "semantic_fingerprint": "sha256:cbe315d799859a0236339d3c540a2a83f9d32f173490a52fdf6efcf4646ae7dd", "generator_version": "3.0"}
{"id": "v3_test_id_00002758", "prompt": "What is (-6 - 76) * (-8) / (-948)?", "solution_steps": ["Subtract: -6 - 76 = -82", "Multiply: -82 * (-8) = 656", "Divide: 656 / (-948) = -164/237"], "final_answer": "-164/237", "answer_type": "rational", "kind": "expression", "math_text": "(-6 - 76) * (-8) / (-948)", "variable": null, "family": "expression_3op", "shape": "(/ (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 76, \"c\": -8, \"d\": -948}", "seed": "14243642193928465418", "semantic_fingerprint": "sha256:36b7de2d18d3ea18d07a71c70dfe10c642b3044d6f637850fbd9ffcd5eb7d8d9", "generator_version": "3.0"}
{"id": "v3_test_id_00002759", "prompt": "Solve for x: 6(x - 965) + 6 = 10x - 47", "solution_steps": ["Expand: 6x - 5790 + 6 = 10x - 47", "Combine constants: 6x - 5784 = 10x - 47", "Subtract 10x from both sides: -4x - 5784 = -47", "Add 5784 to both sides: -4x = 5737", "Divide both sides by -4: x = -5737/4"], "final_answer": "-5737/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 965) + 6 = 10x - 47", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 965, \"c\": 6, \"d\": 10, \"e\": 47}", "seed": "7073161029889683855", "semantic_fingerprint": "sha256:e1714ba29c1261bb9f26c1080222aca353cf3fc754d93682c985bd22b62f444b", "generator_version": "3.0"}
{"id": "v3_test_id_00002760", "prompt": "Calculate: -659 + (-393)", "solution_steps": ["Add: -659 + (-393) = -1052"], "final_answer": "-1052", "answer_type": "integer", "kind": "expression", "math_text": "-659 + (-393)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -659, \"b\": -393}", "seed": "17404194618334019561", "semantic_fingerprint": "sha256:a319c74fd8307a05711cdea7080377b28a2a5765ba7d03b0cfe6bf4b9db37ee7", "generator_version": "3.0"}
{"id": "v3_test_id_00002761", "prompt": "Solve the equation x + 2 = 11x - 58 for x.", "solution_steps": ["Subtract 11x from both sides: -10x + 2 = -58", "Subtract 2 from both sides: -10x = -60", "Divide both sides by -10: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 2 = 11x - 58", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 11, \"d\": -58, \"x\": 6}", "seed": "13386411572417151494", "semantic_fingerprint": "sha256:a4e1e696e8eb9747c7fa6a33c71095496c581fb2778622c0d2fc9adeb029e98d", "generator_version": "3.0"}
{"id": "v3_test_id_00002762", "prompt": "Evaluate: (-6 + (-247)) * (-95)", "solution_steps": ["Add: -6 + (-247) = -253", "Multiply: -253 * (-95) = 24035"], "final_answer": "24035", "answer_type": "integer", "kind": "expression", "math_text": "(-6 + (-247)) * (-95)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -247, \"c\": -95}", "seed": "11867154098222335634", "semantic_fingerprint": "sha256:3b1e690a46d6d91b7a0688b75caecaa1e7afe6cd92d6d0bbf8f2a8b40685d890", "generator_version": "3.0"}
{"id": "v3_test_id_00002763", "prompt": "What is 0 / (-517)?", "solution_steps": ["Divide: 0 / (-517) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-517)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -517}", "seed": "8882335768399694438", "semantic_fingerprint": "sha256:6347eb34ac4aa7e8f3aa27273b9b50be83d966f75e395b7df667949a0c4e13fd", "generator_version": "3.0"}
{"id": "v3_test_id_00002764", "prompt": "What value of x satisfies 2(x - 20) + 65 = 7x?", "solution_steps": ["Expand: 2x - 40 + 65 = 7x", "Combine constants: 2x + 25 = 7x", "Subtract 7x from both sides: -5x + 25 = 0", "Subtract 25 from both sides: -5x = -25", "Divide both sides by -5: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 20) + 65 = 7x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 20, \"c\": 7, \"e\": 65, \"x\": 5}", "seed": "4897685780905365202", "semantic_fingerprint": "sha256:ebf85a0e0424be6273250cc3abd13d76397dcee17f64eb4d783e98e695ca0591", "generator_version": "3.0"}
{"id": "v3_test_id_00002765", "prompt": "Calculate: 222 - (-580)", "solution_steps": ["Subtract: 222 - (-580) = 802"], "final_answer": "802", "answer_type": "integer", "kind": "expression", "math_text": "222 - (-580)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 222, \"b\": -580}", "seed": "12532582788752711507", "semantic_fingerprint": "sha256:8833ab7cd90d1b012f6c278e972e134b12324e3f6ecf863f2ded1207758c6cf2", "generator_version": "3.0"}
{"id": "v3_test_id_00002766", "prompt": "What is -3 + (-79) * (-106)?", "solution_steps": ["Multiply: -79 * (-106) = 8374", "Add: -3 + 8374 = 8371"], "final_answer": "8371", "answer_type": "integer", "kind": "expression", "math_text": "-3 + (-79) * (-106)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -79, \"c\": -106}", "seed": "3874528990348382208", "semantic_fingerprint": "sha256:3a4179a3ccc3aef9a9e84638f64ecbb1fe470f69cfc16f8c071e68fb983cd7fa", "generator_version": "3.0"}
{"id": "v3_test_id_00002767", "prompt": "What is -2 / (-7 * (-39 / 34))?", "solution_steps": ["Divide: -39 / 34 = -39/34", "Multiply: -7 * (-39/34) = 273/34", "Divide: -2 / (273/34) = -68/273"], "final_answer": "-68/273", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-7 * (-39 / 34))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -7, \"c\": -39, \"d\": 34}", "seed": "13096536491813121489", "semantic_fingerprint": "sha256:cd79a4c7d771e27f1a5cb09790f3e2f5d19edbf679609d5be6ef7452f59364f7", "generator_version": "3.0"}
{"id": "v3_test_id_00002768", "prompt": "Calculate: 23 - 115", "solution_steps": ["Subtract: 23 - 115 = -92"], "final_answer": "-92", "answer_type": "integer", "kind": "expression", "math_text": "23 - 115", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 115}", "seed": "6367109707600818939", "semantic_fingerprint": "sha256:f96a67a0555d7376f480d14087dbe56658612cb568ab881ad34f759a8bc8d2cc", "generator_version": "3.0"}
{"id": "v3_test_id_00002769", "prompt": "What is -3 * 47 / (53 * (-7))?", "solution_steps": ["Multiply: -3 * 47 = -141", "Multiply: 53 * (-7) = -371", "Divide: -141 / (-371) = 141/371"], "final_answer": "141/371", "answer_type": "rational", "kind": "expression", "math_text": "-3 * 47 / (53 * (-7))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 47, \"c\": 53, \"d\": -7}", "seed": "13151318216910621793", "semantic_fingerprint": "sha256:c7af3b2e7e7520d5c866cdfe9cd7a4c925acb74978e6eb5ea4bfdec763a91fb0", "generator_version": "3.0"}
{"id": "v3_test_id_00002770", "prompt": "Calculate: 332 / (6 + (2 - 5 * (-41)))", "solution_steps": ["Multiply: 5 * (-41) = -205", "Subtract: 2 - (-205) = 207", "Add: 6 + 207 = 213", "Divide: 332 / 213 = 332/213"], "final_answer": "332/213", "answer_type": "rational", "kind": "expression", "math_text": "332 / (6 + (2 - 5 * (-41)))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ n (- n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 332, \"b\": 6, \"c\": 2, \"d\": 5, \"e\": -41}", "seed": "8469571743819626903", "semantic_fingerprint": "sha256:bcc39d26ed1ebc17fcb8ccc6ef314d49b75269ac6802f474c27b66dce6ecb0f4", "generator_version": "3.0"}
{"id": "v3_test_id_00002771", "prompt": "What is 5 + (-241) - (9 - 290)?", "solution_steps": ["Add: 5 + (-241) = -236", "Subtract: 9 - 290 = -281", "Subtract: -236 - (-281) = 45"], "final_answer": "45", "answer_type": "integer", "kind": "expression", "math_text": "5 + (-241) - (9 - 290)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -241, \"c\": 9, \"d\": 290}", "seed": "15622655477636123720", "semantic_fingerprint": "sha256:8a97caef3cc55af44e0b93b695000bee911297fc2410170195f0a8a3d4079de5", "generator_version": "3.0"}
{"id": "v3_test_id_00002772", "prompt": "Evaluate: -2 * 95 + (687 + 0 + (-89 + (-3)))", "solution_steps": ["Multiply: -2 * 95 = -190", "Add: 687 + 0 = 687", "Add: -89 + (-3) = -92", "Add: 687 + (-92) = 595", "Add: -190 + 595 = 405"], "final_answer": "405", "answer_type": "integer", "kind": "expression", "math_text": "-2 * 95 + (687 + 0 + (-89 + (-3)))", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (+ (+ n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 95, \"c\": 687, \"d\": 0, \"e\": -89, \"f\": -3}", "seed": "9004474644910947201", "semantic_fingerprint": "sha256:c13e6b5b68ad53a88c1a60bb9692c7def246d0908ec97b32327025620a7462db", "generator_version": "3.0"}
{"id": "v3_test_id_00002773", "prompt": "Find x: 2x + 321 = -12x + 1", "solution_steps": ["Add 12x to both sides: 14x + 321 = 1", "Subtract 321 from both sides: 14x = -320", "Divide both sides by 14: x = -160/7"], "final_answer": "-160/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x + 321 = -12x + 1", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 321, \"c\": -12, \"d\": 1}", "seed": "201095236744856786", "semantic_fingerprint": "sha256:e6603a4c0e801e8cf758a62493043cbe1544ce420e590585e435e040fffb1bb9", "generator_version": "3.0"}
{"id": "v3_test_id_00002774", "prompt": "Solve for x: 2x - 442 = -3(x - 5) - 27", "solution_steps": ["Expand: 2x - 442 = -3x + 15 - 27", "Combine constants: 2x - 442 = -3x - 12", "Add 3x to both sides: 5x - 442 = -12", "Add 442 to both sides: 5x = 430", "Divide both sides by 5: x = 86"], "final_answer": "86", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 442 = -3(x - 5) - 27", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 442, \"c\": -3, \"d\": 5, \"e\": 27}", "seed": "1040103040987880404", "semantic_fingerprint": "sha256:8a4de28d4a70f0d73259909c776ca2cc97b4a8fe8a5720dadc9263e7e5f40cdc", "generator_version": "3.0"}
{"id": "v3_test_id_00002775", "prompt": "Solve for x: 4x - 60 = -52", "solution_steps": ["Add 60 to both sides: 4x = 8", "Divide both sides by 4: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 60 = -52", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 60, \"d\": -52, \"x\": 2}", "seed": "17777429598963713071", "semantic_fingerprint": "sha256:5973d0e766c732b09f84a146f01c501d1f6b57b0ad617ff3717e163e1dd496c6", "generator_version": "3.0"}
{"id": "v3_test_id_00002776", "prompt": "Find x: 3(x - 97) + 277 = x", "solution_steps": ["Expand: 3x - 291 + 277 = x", "Combine constants: 3x - 14 = x", "Subtract x from both sides: 2x - 14 = 0", "Add 14 to both sides: 2x = 14", "Divide both sides by 2: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 97) + 277 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 97, \"d\": 277, \"x\": 7}", "seed": "2406799277170306347", "semantic_fingerprint": "sha256:ea9e44934e941605fea5def5dc98d029c2bd647af6e5f5f1632bd4ed88d1d75b", "generator_version": "3.0"}
{"id": "v3_test_id_00002777", "prompt": "Solve for x: 9(x - 491) + 651 = -9(x - 42) + 78", "solution_steps": ["Expand: 9x - 4419 + 651 = -9(x - 42) + 78", "Expand: 9x - 4419 + 651 = -9x + 378 + 78", "Combine constants: 9x - 3768 = -9x + 378 + 78", "Combine constants: 9x - 3768 = -9x + 456", "Add 9x to both sides: 18x - 3768 = 456", "Add 3768 to both sides: 18x = 4224", "Divide both sides by 18: x = 704/3"], "final_answer": "704/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 491) + 651 = -9(x - 42) + 78", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 491, \"c\": 651, \"d\": -9, \"e\": 42, \"f\": 78}", "seed": "6973959154640946360", "semantic_fingerprint": "sha256:8290d7b51d67db2cd3f108ed54c18b87af4af3398d423f0174842f6ef1d1bcc3", "generator_version": "3.0"}
{"id": "v3_test_id_00002778", "prompt": "Evaluate: -35 + (-342)", "solution_steps": ["Add: -35 + (-342) = -377"], "final_answer": "-377", "answer_type": "integer", "kind": "expression", "math_text": "-35 + (-342)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": -342}", "seed": "16155925707474314123", "semantic_fingerprint": "sha256:b1a3b768fa4ec0c98edd0fa777bdf140c910a8fee5807332cc3821d4578f020b", "generator_version": "3.0"}
{"id": "v3_test_id_00002779", "prompt": "Find x: 6(x - 5) - 374 = -11x - 523", "solution_steps": ["Expand: 6x - 30 - 374 = -11x - 523", "Combine constants: 6x - 404 = -11x - 523", "Add 11x to both sides: 17x - 404 = -523", "Add 404 to both sides: 17x = -119", "Divide both sides by 17: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 5) - 374 = -11x - 523", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 374, \"d\": -11, \"f\": -523, \"x\": -7}", "seed": "5747424370446084875", "semantic_fingerprint": "sha256:b8ee4c45ce58e8757a7784a856deffcaf3ecdee860f422f9a25c7393f1bc14d8", "generator_version": "3.0"}
{"id": "v3_test_id_00002780", "prompt": "What is 3 / 8 * (-1) - 8 - 37?", "solution_steps": ["Divide: 3 / 8 = 3/8", "Multiply: (3/8) * (-1) = -3/8", "Subtract: -3/8 - 8 = -67/8", "Subtract: -67/8 - 37 = -363/8"], "final_answer": "-363/8", "answer_type": "rational", "kind": "expression", "math_text": "3 / 8 * (-1) - 8 - 37", "variable": null, "family": "expression_4op", "shape": "(- (- (* (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": -1, \"d\": 8, \"e\": 37}", "seed": "13547877919041334338", "semantic_fingerprint": "sha256:72997f34a660f0503381fc9b03645afa1bdbebe1d345118a37a312cca1f2ff56", "generator_version": "3.0"}
{"id": "v3_test_id_00002781", "prompt": "Solve the equation -3x + 8 = 6x + 116 for x.", "solution_steps": ["Subtract 6x from both sides: -9x + 8 = 116", "Subtract 8 from both sides: -9x = 108", "Divide both sides by -9: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x + 8 = 6x + 116", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 8, \"c\": 6, \"e\": 116, \"x\": -12}", "seed": "9596724407121337288", "semantic_fingerprint": "sha256:af0117bff08f5f3776e5c8df74ef59b2f001cfd3258bb334b2da05ddd3f87c60", "generator_version": "3.0"}
{"id": "v3_test_id_00002782", "prompt": "Compute: 16 - (-25) / 342", "solution_steps": ["Divide: -25 / 342 = -25/342", "Subtract: 16 - (-25/342) = 5497/342"], "final_answer": "5497/342", "answer_type": "rational", "kind": "expression", "math_text": "16 - (-25) / 342", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": -25, \"c\": 342}", "seed": "13382739310752702303", "semantic_fingerprint": "sha256:2280aeec6afc86d2227035c82307d66d79ae36096f034266cd6cfe4cfc6a78de", "generator_version": "3.0"}
{"id": "v3_test_id_00002783", "prompt": "Compute: -6 - (-44) * 37", "solution_steps": ["Multiply: -44 * 37 = -1628", "Subtract: -6 - (-1628) = 1622"], "final_answer": "1622", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (-44) * 37", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -44, \"c\": 37}", "seed": "2861642513239492599", "semantic_fingerprint": "sha256:90340a27c6e9ff2993bdd2f75a8a3dadb8a97b84972f7d0880222702c12b0082", "generator_version": "3.0"}
{"id": "v3_test_id_00002784", "prompt": "Find x: 8x = x + 14", "solution_steps": ["Subtract x from both sides: 7x = 14", "Divide both sides by 7: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = x + 14", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"c\": 14, \"x\": 2}", "seed": "149549154047790845", "semantic_fingerprint": "sha256:e6a20750bc4e417e771fd45396a136bbc91239654e88361ba0013767eb560630", "generator_version": "3.0"}
{"id": "v3_test_id_00002785", "prompt": "Solve for x: 11(x - 97) + 867 = x", "solution_steps": ["Expand: 11x - 1067 + 867 = x", "Combine constants: 11x - 200 = x", "Subtract x from both sides: 10x - 200 = 0", "Add 200 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 - 97) + 867 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 97, \"d\": 867, \"x\": 20}", "seed": "10816728527114860425", "semantic_fingerprint": "sha256:4eae19e0268f34583ad5661ce21170d60e51a604330c6d85f242c002bcf4f421", "generator_version": "3.0"}
{"id": "v3_test_id_00002786", "prompt": "What is 59 - 431 - (7 + 0)?", "solution_steps": ["Subtract: 59 - 431 = -372", "Add: 7 + 0 = 7", "Subtract: -372 - 7 = -379"], "final_answer": "-379", "answer_type": "integer", "kind": "expression", "math_text": "59 - 431 - (7 + 0)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": 431, \"c\": 7, \"d\": 0}", "seed": "2681852773482698159", "semantic_fingerprint": "sha256:78ca2a67d0bb9ca5070f13bb6ad129cab0add9a54cb1be1e306f4d182080f7f3", "generator_version": "3.0"}
{"id": "v3_test_id_00002787", "prompt": "What is 25 + (-36)?", "solution_steps": ["Add: 25 + (-36) = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "expression", "math_text": "25 + (-36)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": -36}", "seed": "5611853569622464714", "semantic_fingerprint": "sha256:aab4574d9bc8483fbe5b25516cfcc837fb26cac13641eb950ff1d030658fec00", "generator_version": "3.0"}
{"id": "v3_test_id_00002788", "prompt": "Calculate: -3 - (-80) / (4 + 0)", "solution_steps": ["Add: 4 + 0 = 4", "Divide: -80 / 4 = -20", "Subtract: -3 - (-20) = 17"], "final_answer": "17", "answer_type": "integer", "kind": "expression", "math_text": "-3 - (-80) / (4 + 0)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -80, \"c\": 4, \"d\": 0}", "seed": "9019269570230841862", "semantic_fingerprint": "sha256:952c78b31cbd4c10fdc5b2501a08fbc2e68a312063b781d8802b930e17f9db60", "generator_version": "3.0"}
{"id": "v3_test_id_00002789", "prompt": "Compute: 31 * (-242)", "solution_steps": ["Multiply: 31 * (-242) = -7502"], "final_answer": "-7502", "answer_type": "integer", "kind": "expression", "math_text": "31 * (-242)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": -242}", "seed": "13959201131641987106", "semantic_fingerprint": "sha256:c477ae5f147f34bfe70685361b4adf1d47b16317d1c506b85dedb6327cefb712", "generator_version": "3.0"}
{"id": "v3_test_id_00002790", "prompt": "What is (0 - (-7)) * 5?", "solution_steps": ["Subtract: 0 - (-7) = 7", "Multiply: 7 * 5 = 35"], "final_answer": "35", "answer_type": "integer", "kind": "expression", "math_text": "(0 - (-7)) * 5", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -7, \"c\": 5}", "seed": "1880593004350777261", "semantic_fingerprint": "sha256:f683956127e369a09e2ab11aaa013bc5e061f23ac037beb0227a20345dcd2648", "generator_version": "3.0"}
{"id": "v3_test_id_00002791", "prompt": "Calculate: 3 + (7 - 7)", "solution_steps": ["Subtract: 7 - 7 = 0", "Add: 3 + 0 = 3"], "final_answer": "3", "answer_type": "integer", "kind": "expression", "math_text": "3 + (7 - 7)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": 7}", "seed": "372317479648849777", "semantic_fingerprint": "sha256:0ecf5d51571f6ef23e11c0867edd86f8f7418c8541ad0fa44b3a2fbe715b0c73", "generator_version": "3.0"}
{"id": "v3_test_id_00002792", "prompt": "Calculate: 106 * 2 + (-323) - (-8 + (-14))", "solution_steps": ["Multiply: 106 * 2 = 212", "Add: 212 + (-323) = -111", "Add: -8 + (-14) = -22", "Subtract: -111 - (-22) = -89"], "final_answer": "-89", "answer_type": "integer", "kind": "expression", "math_text": "106 * 2 + (-323) - (-8 + (-14))", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 106, \"b\": 2, \"c\": -323, \"d\": -8, \"e\": -14}", "seed": "16664816405533527385", "semantic_fingerprint": "sha256:fe7eb1e95819563bf3f5602c2f3700e382823cd5f510f0ed3e94ab4d540f9cca", "generator_version": "3.0"}
{"id": "v3_test_id_00002793", "prompt": "Solve the equation 6x + 6 = -3(x - 41) for x.", "solution_steps": ["Expand: 6x + 6 = -3x + 123", "Add 3x to both sides: 9x + 6 = 123", "Subtract 6 from both sides: 9x = 117", "Divide both sides by 9: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x + 6 = -3(x - 41)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"c\": -3, \"d\": 41}", "seed": "6918786763389494630", "semantic_fingerprint": "sha256:eabfd12670588f26b0d0623c93f5d79419c3e736c13626d15dbf99a8ed3aa828", "generator_version": "3.0"}
{"id": "v3_test_id_00002794", "prompt": "Evaluate: -402 + (-64)", "solution_steps": ["Add: -402 + (-64) = -466"], "final_answer": "-466", "answer_type": "integer", "kind": "expression", "math_text": "-402 + (-64)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -402, \"b\": -64}", "seed": "12087364709775795271", "semantic_fingerprint": "sha256:da949dbb09685a0bebf8c92afb5bd99245d7295b7f1ec38c1259ca1816ef4c68", "generator_version": "3.0"}
{"id": "v3_test_id_00002795", "prompt": "Evaluate: (-81 * (-22) + 34) / (-598 - (98 + (-3)))", "solution_steps": ["Multiply: -81 * (-22) = 1782", "Add: 1782 + 34 = 1816", "Add: 98 + (-3) = 95", "Subtract: -598 - 95 = -693", "Divide: 1816 / (-693) = -1816/693"], "final_answer": "-1816/693", "answer_type": "rational", "kind": "expression", "math_text": "(-81 * (-22) + 34) / (-598 - (98 + (-3)))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (* n n) n) (- n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": -22, \"c\": 34, \"d\": -598, \"e\": 98, \"f\": -3}", "seed": "29955804610117021", "semantic_fingerprint": "sha256:930851844bcac86e4785f4b351d90c134ca98fcd7c0e6c00bc6cad60d5a0209e", "generator_version": "3.0"}
{"id": "v3_test_id_00002796", "prompt": "Evaluate: (348 + (-65 - 875 / (-2) * (-846))) / 815", "solution_steps": ["Divide: 875 / (-2) = -875/2", "Multiply: (-875/2) * (-846) = 370125", "Subtract: -65 - 370125 = -370190", "Add: 348 + (-370190) = -369842", "Divide: -369842 / 815 = -369842/815"], "final_answer": "-369842/815", "answer_type": "rational", "kind": "expression", "math_text": "(348 + (-65 - 875 / (-2) * (-846))) / 815", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (- n (* (/ n n) n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 348, \"b\": -65, \"c\": 875, \"d\": -2, \"e\": -846, \"f\": 815}", "seed": "7518027771096832086", "semantic_fingerprint": "sha256:8e372e527ce966e26e35d3a46e436f92358cba976f08fef3f5bc529de6e2b4fa", "generator_version": "3.0"}
{"id": "v3_test_id_00002797", "prompt": "What is -57 - 2 / 96?", "solution_steps": ["Divide: 2 / 96 = 1/48", "Subtract: -57 - 1/48 = -2737/48"], "final_answer": "-2737/48", "answer_type": "rational", "kind": "expression", "math_text": "-57 - 2 / 96", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": 2, \"c\": 96}", "seed": "8135400633617942375", "semantic_fingerprint": "sha256:ecf90980c72d58cb19a5ba2b0171d7a44b32f138ad37fd7b20624438dd732071", "generator_version": "3.0"}
{"id": "v3_test_id_00002798", "prompt": "Solve the equation 5(x + 649) + 98 = 32 for x.", "solution_steps": ["Expand: 5x + 3245 + 98 = 32", "Combine constants: 5x + 3343 = 32", "Subtract 3343 from both sides: 5x = -3311", "Divide both sides by 5: x = -3311/5"], "final_answer": "-3311/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 649) + 98 = 32", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 649, \"c\": 98, \"d\": 32}", "seed": "8279361614385170656", "semantic_fingerprint": "sha256:a1e108ecad2af1866fc4f6d8ab796bb2036b58c8930e4948c822bfbd1bfc89ed", "generator_version": "3.0"}
{"id": "v3_test_id_00002799", "prompt": "What value of x satisfies 7(x + 2) = 42?", "solution_steps": ["Expand: 7x + 14 = 42", "Subtract 14 from both sides: 7x = 28", "Divide both sides by 7: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 2) = 42", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 2, \"d\": 42, \"x\": 4}", "seed": "3319906200283431795", "semantic_fingerprint": "sha256:5273d88c913e8937cc8735a29d6438067338452eb1a00fe1585bf62d9307753c", "generator_version": "3.0"}
{"id": "v3_test_id_00002800", "prompt": "Evaluate: 970 * (0 + (-574)) + 48", "solution_steps": ["Add: 0 + (-574) = -574", "Multiply: 970 * (-574) = -556780", "Add: -556780 + 48 = -556732"], "final_answer": "-556732", "answer_type": "integer", "kind": "expression", "math_text": "970 * (0 + (-574)) + 48", "variable": null, "family": "expression_3op", "shape": "(+ (* n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 970, \"b\": 0, \"c\": -574, \"d\": 48}", "seed": "11769607694670354466", "semantic_fingerprint": "sha256:497ea94dd71321c9e7e5e7b37c4885be75edf682762f108f30ace9914d94b79f", "generator_version": "3.0"}
{"id": "v3_test_id_00002801", "prompt": "Evaluate: 569 + (-18 + 508)", "solution_steps": ["Add: -18 + 508 = 490", "Add: 569 + 490 = 1059"], "final_answer": "1059", "answer_type": "integer", "kind": "expression", "math_text": "569 + (-18 + 508)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 569, \"b\": -18, \"c\": 508}", "seed": "6487726078892710459", "semantic_fingerprint": "sha256:61648d02cec979a4502b32111d148c194d772d95d5836f703b14f56632847dd6", "generator_version": "3.0"}
{"id": "v3_test_id_00002802", "prompt": "What value of x satisfies x + 13 = 5(x + 1)?", "solution_steps": ["Expand: x + 13 = 5x + 5", "Subtract 5x from both sides: -4x + 13 = 5", "Subtract 13 from both sides: -4x = -8", "Divide both sides by -4: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 13 = 5(x + 1)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 1, \"d\": 13, \"x\": 2}", "seed": "1205534189010965110", "semantic_fingerprint": "sha256:36f7d3af0751b8a0a8a1471e5dcbd04a8a00e47ad1710407347da4f2ea069b79", "generator_version": "3.0"}
{"id": "v3_test_id_00002803", "prompt": "Solve for x: x + 448 = 6(x + 78)", "solution_steps": ["Expand: x + 448 = 6x + 468", "Subtract 6x from both sides: -5x + 448 = 468", "Subtract 448 from both sides: -5x = 20", "Divide both sides by -5: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 448 = 6(x + 78)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 78, \"d\": 448, \"x\": -4}", "seed": "13975762499390927958", "semantic_fingerprint": "sha256:1d98a4fe73e80e3fd915e22501bf514b42fd5593ec98018b164d013178ca897a", "generator_version": "3.0"}
{"id": "v3_test_id_00002804", "prompt": "What is 220 / (-9 / (-68) / (-9) - (63 - (-53)))?", "solution_steps": ["Divide: -9 / (-68) = 9/68", "Divide: (9/68) / (-9) = -1/68", "Subtract: 63 - (-53) = 116", "Subtract: -1/68 - 116 = -7889/68", "Divide: 220 / (-7889/68) = -14960/7889"], "final_answer": "-14960/7889", "answer_type": "rational", "kind": "expression", "math_text": "220 / (-9 / (-68) / (-9) - (63 - (-53)))", "variable": null, "family": "expression_5op", "shape": "(/ n (- (/ (/ n n) n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 220, \"b\": -9, \"c\": -68, \"d\": -9, \"e\": 63, \"f\": -53}", "seed": "1795534384557016569", "semantic_fingerprint": "sha256:ae0d585941987e5dee485539d8df148f6556dcd77da02e8da32380ac1daecb03", "generator_version": "3.0"}
{"id": "v3_test_id_00002805", "prompt": "Compute: 14 - 89 * 70 - (640 - (-127)) + (-1)", "solution_steps": ["Multiply: 89 * 70 = 6230", "Subtract: 14 - 6230 = -6216", "Subtract: 640 - (-127) = 767", "Subtract: -6216 - 767 = -6983", "Add: -6983 + (-1) = -6984"], "final_answer": "-6984", "answer_type": "integer", "kind": "expression", "math_text": "14 - 89 * 70 - (640 - (-127)) + (-1)", "variable": null, "family": "expression_5op", "shape": "(+ (- (- n (* n n)) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 89, \"c\": 70, \"d\": 640, \"e\": -127, \"f\": -1}", "seed": "13101789703763681169", "semantic_fingerprint": "sha256:e304224c5e343949daff1169a46ee5db8430653852b74ad9a7b6180cdab87f43", "generator_version": "3.0"}
{"id": "v3_test_id_00002806", "prompt": "Solve the equation 6(x + 75) - 468 = 3(x - 2) for x.", "solution_steps": ["Expand: 6x + 450 - 468 = 3(x - 2)", "Expand: 6x + 450 - 468 = 3x - 6", "Combine constants: 6x - 18 = 3x - 6", "Subtract 3x from both sides: 3x - 18 = -6", "Add 18 to both sides: 3x = 12", "Divide both sides by 3: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 75) - 468 = 3(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\": 75, \"c\": 3, \"d\": 2, \"f\": -468, \"x\": 4}", "seed": "3483634655067608307", "semantic_fingerprint": "sha256:e9b7e0b9f894c6309e1b3979cff999b53d733ed88e0ef8164c2b4f32619b451b", "generator_version": "3.0"}
{"id": "v3_test_id_00002807", "prompt": "Find x: -8x + 32 = -11x + 7", "solution_steps": ["Add 11x to both sides: 3x + 32 = 7", "Subtract 32 from both sides: 3x = -25", "Divide both sides by 3: x = -25/3"], "final_answer": "-25/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8x + 32 = -11x + 7", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 32, \"c\": -11, \"d\": 7}", "seed": "7535036901801483526", "semantic_fingerprint": "sha256:7a72724730522f114e4eea61f2599d9012f0dbf61c12116d902b95296a625ae3", "generator_version": "3.0"}
{"id": "v3_test_id_00002808", "prompt": "What is 50 - 0?", "solution_steps": ["Subtract: 50 - 0 = 50"], "final_answer": "50", "answer_type": "integer", "kind": "expression", "math_text": "50 - 0", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": 0}", "seed": "6623173386067623184", "semantic_fingerprint": "sha256:006143e097013ad194000030bda4a2f86f6e6fedc584633374277d14f9ed31c7", "generator_version": "3.0"}
{"id": "v3_test_id_00002809", "prompt": "Solve the equation 8(x - 2) - 12 = x - 28 for x.", "solution_steps": ["Expand: 8x - 16 - 12 = x - 28", "Combine constants: 8x - 28 = x - 28", "Subtract x from both sides: 7x - 28 = -28", "Add 28 to both sides: 7x = 0", "Divide both sides by 7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 2) - 12 = x - 28", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": 12, \"d\": 28}", "seed": "4303714828844807381", "semantic_fingerprint": "sha256:57529a7fab550b8632ec8433f18eaa65ce2a2c5bffac3ed7ce5a65d29a27ca80", "generator_version": "3.0"}
{"id": "v3_test_id_00002810", "prompt": "Calculate: -9 * (-15 + 157) * (-11 * (-42 / 1))", "solution_steps": ["Add: -15 + 157 = 142", "Multiply: -9 * 142 = -1278", "Divide: -42 / 1 = -42", "Multiply: -11 * (-42) = 462", "Multiply: -1278 * 462 = -590436"], "final_answer": "-590436", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (-15 + 157) * (-11 * (-42 / 1))", "variable": null, "family": "expression_5op", "shape": "(* (* n (+ n n)) (* n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -15, \"c\": 157, \"d\": -11, \"e\": -42, \"f\": 1}", "seed": "1582487440609353975", "semantic_fingerprint": "sha256:3e23428414769a760c4c36277c0b91748b7cb0ecafafd520ea08841addf626b6", "generator_version": "3.0"}
{"id": "v3_test_id_00002811", "prompt": "What is -45 - 3?", "solution_steps": ["Subtract: -45 - 3 = -48"], "final_answer": "-48", "answer_type": "integer", "kind": "expression", "math_text": "-45 - 3", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": 3}", "seed": "15539325651527639994", "semantic_fingerprint": "sha256:bd4273c3c29a8b6e61449c679166b99b77c0946bee62a9f62c06be833e04452c", "generator_version": "3.0"}
{"id": "v3_test_id_00002812", "prompt": "Evaluate: -6 * (2 / (8 - (850 - 403)))", "solution_steps": ["Subtract: 850 - 403 = 447", "Subtract: 8 - 447 = -439", "Divide: 2 / (-439) = -2/439", "Multiply: -6 * (-2/439) = 12/439"], "final_answer": "12/439", "answer_type": "rational", "kind": "expression", "math_text": "-6 * (2 / (8 - (850 - 403)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ n (- n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 2, \"c\": 8, \"d\": 850, \"e\": 403}", "seed": "11056831629553133961", "semantic_fingerprint": "sha256:318970327ac762c34515f4a9ff92384c9deafd7f83dadc5d7dfbd5bbc65d0bc7", "generator_version": "3.0"}
{"id": "v3_test_id_00002813", "prompt": "Find x: 2x + 17 = x", "solution_steps": ["Subtract x from both sides: x + 17 = 0", "Subtract 17 from both sides: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x + 17 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"c\": 17, \"x\": -17}", "seed": "2300668057585905209", "semantic_fingerprint": "sha256:dc37b7d27d9cfb021859f0eb82819d7e420b940c53489181af3be06fa698fec4", "generator_version": "3.0"}
{"id": "v3_test_id_00002814", "prompt": "Calculate: 906 - 31 / (7 / (-4 * (-98)))", "solution_steps": ["Multiply: -4 * (-98) = 392", "Divide: 7 / 392 = 1/56", "Divide: 31 / (1/56) = 1736", "Subtract: 906 - 1736 = -830"], "final_answer": "-830", "answer_type": "integer", "kind": "expression", "math_text": "906 - 31 / (7 / (-4 * (-98)))", "variable": null, "family": "expression_4op", "shape": "(- n (/ n (/ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 906, \"b\": 31, \"c\": 7, \"d\": -4, \"e\": -98}", "seed": "14623971730692373125", "semantic_fingerprint": "sha256:4b9bb1da425c82c73a0d7c1b3761eb2dc53aa55fbef3e95cb12b50748bc12f8b", "generator_version": "3.0"}
{"id": "v3_test_id_00002815", "prompt": "Calculate: 553 * 4", "solution_steps": ["Multiply: 553 * 4 = 2212"], "final_answer": "2212", "answer_type": "integer", "kind": "expression", "math_text": "553 * 4", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 553, \"b\": 4}", "seed": "16033777885195950676", "semantic_fingerprint": "sha256:b934f9c23771e8bf9cdeb73b9338c77abd8397c6326f215d1618b070ae5d7dca", "generator_version": "3.0"}
{"id": "v3_test_id_00002816", "prompt": "Solve for x: x + 18 = 23", "solution_steps": ["Subtract 18 from both sides: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 18 = 23", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 18, \"c\": 23, \"x\": 5}", "seed": "8664981068863893220", "semantic_fingerprint": "sha256:4ff0b089854dfa15983eaf9edcf923199653dbf4984bd1fcd994eee3070f7ac8", "generator_version": "3.0"}
{"id": "v3_test_id_00002817", "prompt": "What is 61 / 559?", "solution_steps": ["Divide: 61 / 559 = 61/559"], "final_answer": "61/559", "answer_type": "rational", "kind": "expression", "math_text": "61 / 559", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": 559}", "seed": "3471891117018651248", "semantic_fingerprint": "sha256:69b6792d6597cd584864251a28bbc438fdc15fe131f9fa8dd509e66086449e46", "generator_version": "3.0"}
{"id": "v3_test_id_00002818", "prompt": "Compute: -7 * (-751) - 91 / (-62)", "solution_steps": ["Multiply: -7 * (-751) = 5257", "Divide: 91 / (-62) = -91/62", "Subtract: 5257 - (-91/62) = 326025/62"], "final_answer": "326025/62", "answer_type": "rational", "kind": "expression", "math_text": "-7 * (-751) - 91 / (-62)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -751, \"c\": 91, \"d\": -62}", "seed": "11888897107576353708", "semantic_fingerprint": "sha256:9149731aec61abb55cd4f783091e787a4b788fcdef36069679899fa5125a1b37", "generator_version": "3.0"}
{"id": "v3_test_id_00002819", "prompt": "Solve for x: 12(x - 959) = x + 52", "solution_steps": ["Expand: 12x - 11508 = x + 52", "Subtract x from both sides: 11x - 11508 = 52", "Add 11508 to both sides: 11x = 11560", "Divide both sides by 11: x = 11560/11"], "final_answer": "11560/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 959) = x + 52", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 959, \"c\": 52}", "seed": "7363087943642051368", "semantic_fingerprint": "sha256:115ad5dc1292e13b688d5e73498b366d41ae6cea23c6953f27885b607d99b033", "generator_version": "3.0"}
{"id": "v3_test_id_00002820", "prompt": "Compute: 453 * 3 / (-66) * 73", "solution_steps": ["Multiply: 453 * 3 = 1359", "Divide: 1359 / (-66) = -453/22", "Multiply: (-453/22) * 73 = -33069/22"], "final_answer": "-33069/22", "answer_type": "rational", "kind": "expression", "math_text": "453 * 3 / (-66) * 73", "variable": null, "family": "expression_3op", "shape": "(* (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 453, \"b\": 3, \"c\": -66, \"d\": 73}", "seed": "7727006902094264799", "semantic_fingerprint": "sha256:94e1251fae1af23860023a967fa7ed29791d3508c85cac18c005fd1adb30cfbe", "generator_version": "3.0"}
{"id": "v3_test_id_00002821", "prompt": "Solve the equation 8x + 430 = 11(x + 44) for x.", "solution_steps": ["Expand: 8x + 430 = 11x + 484", "Subtract 11x from both sides: -3x + 430 = 484", "Subtract 430 from both sides: -3x = 54", "Divide both sides by -3: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x + 430 = 11(x + 44)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 11, \"c\": 44, \"e\": 430, \"x\": -18}", "seed": "15505483424184413050", "semantic_fingerprint": "sha256:85f50562a453585ed2094bff7fab34c0cbf78869d528ab9e163c554504737a8f", "generator_version": "3.0"}
{"id": "v3_test_id_00002822", "prompt": "What is -32 - (-1) + 669?", "solution_steps": ["Subtract: -32 - (-1) = -31", "Add: -31 + 669 = 638"], "final_answer": "638", "answer_type": "integer", "kind": "expression", "math_text": "-32 - (-1) + 669", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": -1, \"c\": 669}", "seed": "12605487077193795600", "semantic_fingerprint": "sha256:02135ece8504d1e4e368747611f61d6f0ada7ed563965ea9796009ce03a0e724", "generator_version": "3.0"}
{"id": "v3_test_id_00002823", "prompt": "What is (88 + (-49)) * 5?", "solution_steps": ["Add: 88 + (-49) = 39", "Multiply: 39 * 5 = 195"], "final_answer": "195", "answer_type": "integer", "kind": "expression", "math_text": "(88 + (-49)) * 5", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": -49, \"c\": 5}", "seed": "1682967710081399003", "semantic_fingerprint": "sha256:2655ab18ea16c03ebc0b1685ef4f5451ba66a9c1004013e7b34b0625b48e6d85", "generator_version": "3.0"}
{"id": "v3_test_id_00002824", "prompt": "Compute: (66 + 6) * (0 - (7 - 80) - (-62))", "solution_steps": ["Add: 66 + 6 = 72", "Subtract: 7 - 80 = -73", "Subtract: 0 - (-73) = 73", "Subtract: 73 - (-62) = 135", "Multiply: 72 * 135 = 9720"], "final_answer": "9720", "answer_type": "integer", "kind": "expression", "math_text": "(66 + 6) * (0 - (7 - 80) - (-62))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (- (- n (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": 6, \"c\": 0, \"d\": 7, \"e\": 80, \"f\": -62}", "seed": "10332685899542042881", "semantic_fingerprint": "sha256:78b7b22e30df2cfb0a6c2723c83c78bef440f62189663af14d9ff440c0dd08d9", "generator_version": "3.0"}
{"id": "v3_test_id_00002825", "prompt": "Evaluate: -15 + (-791) + (-3)", "solution_steps": ["Add: -15 + (-791) = -806", "Add: -806 + (-3) = -809"], "final_answer": "-809", "answer_type": "integer", "kind": "expression", "math_text": "-15 + (-791) + (-3)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": -791, \"c\": -3}", "seed": "600030356730852373", "semantic_fingerprint": "sha256:3ed59e12a7edbca8bbaaef8ba3279a66f8a05369c3ec4c98ff4a0d1209229b1b", "generator_version": "3.0"}
{"id": "v3_test_id_00002826", "prompt": "What is 91 + (-69) - 77?", "solution_steps": ["Add: 91 + (-69) = 22", "Subtract: 22 - 77 = -55"], "final_answer": "-55", "answer_type": "integer", "kind": "expression", "math_text": "91 + (-69) - 77", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": -69, \"c\": 77}", "seed": "6087900729841428765", "semantic_fingerprint": "sha256:685832badd4e7aa0c865e12fc048c653aa73cc2ec75438bbfe8cc0f70f8d450e", "generator_version": "3.0"}
{"id": "v3_test_id_00002827", "prompt": "Calculate: (59 - (-62)) * (-777) / (-8)", "solution_steps": ["Subtract: 59 - (-62) = 121", "Multiply: 121 * (-777) = -94017", "Divide: -94017 / (-8) = 94017/8"], "final_answer": "94017/8", "answer_type": "rational", "kind": "expression", "math_text": "(59 - (-62)) * (-777) / (-8)", "variable": null, "family": "expression_3op", "shape": "(/ (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": -62, \"c\": -777, \"d\": -8}", "seed": "4864667174154672892", "semantic_fingerprint": "sha256:df7bc3139765334d8b8e4b59f25d274141165ad56a05ccd312028b0e9e012844", "generator_version": "3.0"}
{"id": "v3_test_id_00002828", "prompt": "Solve the equation 8(x - 1) + 18 = -10(x - 21) - 92 for x.", "solution_steps": ["Expand: 8x - 8 + 18 = -10(x - 21) - 92", "Expand: 8x - 8 + 18 = -10x + 210 - 92", "Combine constants: 8x + 10 = -10x + 210 - 92", "Combine constants: 8x + 10 = -10x + 118", "Add 10x to both sides: 18x + 10 = 118", "Subtract 10 from both sides: 18x = 108", "Divide both sides by 18: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 1) + 18 = -10(x - 21) - 92", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1, \"c\": 18, \"d\": -10, \"e\": 21, \"g\": -92, \"x\": 6}", "seed": "1307151462217525389", "semantic_fingerprint": "sha256:ad494a57a777042d6660228b28289d3c569bbfa4ed186372b7689c69f07e0a66", "generator_version": "3.0"}
{"id": "v3_test_id_00002829", "prompt": "Evaluate: 5 - 53", "solution_steps": ["Subtract: 5 - 53 = -48"], "final_answer": "-48", "answer_type": "integer", "kind": "expression", "math_text": "5 - 53", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 53}", "seed": "17906418331865563520", "semantic_fingerprint": "sha256:fab0871e2b754cdf17182f3a422c4c796561bea1ddb2b1cd2a51b633b5651e47", "generator_version": "3.0"}
{"id": "v3_test_id_00002830", "prompt": "Evaluate: (15 + 280) * (0 * 64)", "solution_steps": ["Add: 15 + 280 = 295", "Multiply: 0 * 64 = 0", "Multiply: 295 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(15 + 280) * (0 * 64)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": 280, \"c\": 0, \"d\": 64}", "seed": "8231124719721157833", "semantic_fingerprint": "sha256:c0142dd6c4d6389d73a8b5e086c93643e6f149380ae2c732654b67a857ac9841", "generator_version": "3.0"}
{"id": "v3_test_id_00002831", "prompt": "Calculate: -194 * ((8 + 54) / 6 - (105 - 74))", "solution_steps": ["Add: 8 + 54 = 62", "Divide: 62 / 6 = 31/3", "Subtract: 105 - 74 = 31", "Subtract: 31/3 - 31 = -62/3", "Multiply: -194 * (-62/3) = 12028/3"], "final_answer": "12028/3", "answer_type": "rational", "kind": "expression", "math_text": "-194 * ((8 + 54) / 6 - (105 - 74))", "variable": null, "family": "expression_5op", "shape": "(* n (- (/ (+ n n) n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -194, \"b\": 8, \"c\": 54, \"d\": 6, \"e\": 105, \"f\": 74}", "seed": "8188605297755029758", "semantic_fingerprint": "sha256:c90ad7ac673fc4fdae54c5908b64b08a5a4838f6b7e5fb528f12ae9e2ce7a4e6", "generator_version": "3.0"}
{"id": "v3_test_id_00002832", "prompt": "What is -6 - (-79) * (-868)?", "solution_steps": ["Multiply: -79 * (-868) = 68572", "Subtract: -6 - 68572 = -68578"], "final_answer": "-68578", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (-79) * (-868)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -79, \"c\": -868}", "seed": "10835148258686206567", "semantic_fingerprint": "sha256:d13106aafd4ecba20219f31e38da67d29f9c288ab8c5e9becb7fb577502fd00c", "generator_version": "3.0"}
{"id": "v3_test_id_00002833", "prompt": "What is 68 * (83 + 0) + (969 - 55) * (-63)?", "solution_steps": ["Add: 83 + 0 = 83", "Multiply: 68 * 83 = 5644", "Subtract: 969 - 55 = 914", "Multiply: 914 * (-63) = -57582", "Add: 5644 + (-57582) = -51938"], "final_answer": "-51938", "answer_type": "integer", "kind": "expression", "math_text": "68 * (83 + 0) + (969 - 55) * (-63)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (+ n n)) (* (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": 83, \"c\": 0, \"d\": 969, \"e\": 55, \"f\": -63}", "seed": "1538554846934564315", "semantic_fingerprint": "sha256:41b73a0703d14e71ea402ee797ecc17879da69b637cdc11c79f68effa077beeb", "generator_version": "3.0"}
{"id": "v3_test_id_00002834", "prompt": "Solve for x: 9(x - 6) + 71 = 4(x - 3) + 109", "solution_steps": ["Expand: 9x - 54 + 71 = 4(x - 3) + 109", "Expand: 9x - 54 + 71 = 4x - 12 + 109", "Combine constants: 9x + 17 = 4x - 12 + 109", "Combine constants: 9x + 17 = 4x + 97", "Subtract 4x from both sides: 5x + 17 = 97", "Subtract 17 from both sides: 5x = 80", "Divide both sides by 5: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 6) + 71 = 4(x - 3) + 109", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 6, \"c\": 71, \"d\": 4, \"e\": 3, \"g\": 109, \"x\": 16}", "seed": "5373717707366883837", "semantic_fingerprint": "sha256:4df3b4782b5916bc50d9da5cac73707d157efbd1d588dc8d9c6038c169522738", "generator_version": "3.0"}
{"id": "v3_test_id_00002835", "prompt": "What is -23 * (-4 * 30)?", "solution_steps": ["Multiply: -4 * 30 = -120", "Multiply: -23 * (-120) = 2760"], "final_answer": "2760", "answer_type": "integer", "kind": "expression", "math_text": "-23 * (-4 * 30)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": -4, \"c\": 30}", "seed": "5614721343333136379", "semantic_fingerprint": "sha256:499f244712d72459564de17b71d8dc133c57c6271ecd45e2eb993c11285c346a", "generator_version": "3.0"}
{"id": "v3_test_id_00002836", "prompt": "Evaluate: 31 - 0 - (-1)", "solution_steps": ["Subtract: 31 - 0 = 31", "Subtract: 31 - (-1) = 32"], "final_answer": "32", "answer_type": "integer", "kind": "expression", "math_text": "31 - 0 - (-1)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 0, \"c\": -1}", "seed": "1932878281369655225", "semantic_fingerprint": "sha256:db9d2c85741945b320a38f0db1b570df202559b33d0bf22727a8cebf43406eb1", "generator_version": "3.0"}
{"id": "v3_test_id_00002837", "prompt": "Calculate: -2 + 66 * (-62)", "solution_steps": ["Multiply: 66 * (-62) = -4092", "Add: -2 + (-4092) = -4094"], "final_answer": "-4094", "answer_type": "integer", "kind": "expression", "math_text": "-2 + 66 * (-62)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 66, \"c\": -62}", "seed": "3766418243577745326", "semantic_fingerprint": "sha256:8ac0799e218e41b4703806cf15df46d57472dfe4de5c83663d39d892c3544a31", "generator_version": "3.0"}
{"id": "v3_test_id_00002838", "prompt": "Evaluate: 921 + (-4 + (-91))", "solution_steps": ["Add: -4 + (-91) = -95", "Add: 921 + (-95) = 826"], "final_answer": "826", "answer_type": "integer", "kind": "expression", "math_text": "921 + (-4 + (-91))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 921, \"b\": -4, \"c\": -91}", "seed": "7034960989389844156", "semantic_fingerprint": "sha256:7b6b9c22e32e6a67f03c44b3ca8c9c17edfc60327aaafaf5eb55341ceeb210d6", "generator_version": "3.0"}
{"id": "v3_test_id_00002839", "prompt": "What value of x satisfies 6(x + 786) + 940 = 12(x - 290) - 6?", "solution_steps": ["Expand: 6x + 4716 + 940 = 12(x - 290) - 6", "Expand: 6x + 4716 + 940 = 12x - 3480 - 6", "Combine constants: 6x + 5656 = 12x - 3480 - 6", "Combine constants: 6x + 5656 = 12x - 3486", "Subtract 12x from both sides: -6x + 5656 = -3486", "Subtract 5656 from both sides: -6x = -9142", "Divide both sides by -6: x = 4571/3"], "final_answer": "4571/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 786) + 940 = 12(x - 290) - 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 786, \"c\": 940, \"d\": 12, \"e\": 290, \"f\": 6}", "seed": "7800929273097190165", "semantic_fingerprint": "sha256:07222c149063bd45d96acc3a33ced941f5cbf6637f4a1146db6cc06b4600a8dd", "generator_version": "3.0"}
{"id": "v3_test_id_00002840", "prompt": "What is 7 * (71 + 9)?", "solution_steps": ["Add: 71 + 9 = 80", "Multiply: 7 * 80 = 560"], "final_answer": "560", "answer_type": "integer", "kind": "expression", "math_text": "7 * (71 + 9)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 71, \"c\": 9}", "seed": "16008345641071080892", "semantic_fingerprint": "sha256:abd7e67dbebd9259a1a925d1544b7f475323d05dac49312740a652f987b5d619", "generator_version": "3.0"}
{"id": "v3_test_id_00002841", "prompt": "What value of x satisfies 11(x + 47) - 54 = 4(x - 11) + 584?", "solution_steps": ["Expand: 11x + 517 - 54 = 4(x - 11) + 584", "Expand: 11x + 517 - 54 = 4x - 44 + 584", "Combine constants: 11x + 463 = 4x - 44 + 584", "Combine constants: 11x + 463 = 4x + 540", "Subtract 4x from both sides: 7x + 463 = 540", "Subtract 463 from both sides: 7x = 77", "Divide both sides by 7: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 47) - 54 = 4(x - 11) + 584", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 47, \"c\": 54, \"d\": 4, \"e\": 11, \"g\": 584, \"x\": 11}", "seed": "12002911105250029696", "semantic_fingerprint": "sha256:d4c34469c0c058e4582a634876ade4f50575cf85a00903115a27f41caeac8110", "generator_version": "3.0"}
{"id": "v3_test_id_00002842", "prompt": "What is 7 + 7 * (719 + 4)?", "solution_steps": ["Add: 719 + 4 = 723", "Multiply: 7 * 723 = 5061", "Add: 7 + 5061 = 5068"], "final_answer": "5068", "answer_type": "integer", "kind": "expression", "math_text": "7 + 7 * (719 + 4)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 719, \"d\": 4}", "seed": "1862433739772793432", "semantic_fingerprint": "sha256:03308401fec7f3177ad2990fefdb62fdb2c564ebd284527fbe23614d8b1d6fcb", "generator_version": "3.0"}
{"id": "v3_test_id_00002843", "prompt": "Solve the equation x - 69 = -54 for x.", "solution_steps": ["Add 69 to both sides: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 69 = -54", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 69, \"c\": -54, \"x\": 15}", "seed": "1235744605225029195", "semantic_fingerprint": "sha256:cfde4c4485d339a5f573bff6ac68af55bd90b3c56b9ad939846dc1a7db7b2abe", "generator_version": "3.0"}
{"id": "v3_test_id_00002844", "prompt": "Evaluate: 91 / (-148)", "solution_steps": ["Divide: 91 / (-148) = -91/148"], "final_answer": "-91/148", "answer_type": "rational", "kind": "expression", "math_text": "91 / (-148)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": -148}", "seed": "17513314239713916679", "semantic_fingerprint": "sha256:134533a9588d85fb807634147cc2819a5d02b188567d55a0509b50f7a464c76e", "generator_version": "3.0"}
{"id": "v3_test_id_00002845", "prompt": "Solve for x: x + 4 = 8x + 3", "solution_steps": ["Subtract 8x from both sides: -7x + 4 = 3", "Subtract 4 from both sides: -7x = -1", "Divide both sides by -7: x = 1/7"], "final_answer": "1/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 4 = 8x + 3", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 8, \"c\": 3}", "seed": "4707467574317369903", "semantic_fingerprint": "sha256:4311061c10a5cb6e84f58cf7c41c97bb7eebb73a7298180d9948c15635afc5b0", "generator_version": "3.0"}
{"id": "v3_test_id_00002846", "prompt": "Calculate: 140 - (-8) / (72 + 813 / (-89))", "solution_steps": ["Divide: 813 / (-89) = -813/89", "Add: 72 + (-813/89) = 5595/89", "Divide: -8 / (5595/89) = -712/5595", "Subtract: 140 - (-712/5595) = 784012/5595"], "final_answer": "784012/5595", "answer_type": "rational", "kind": "expression", "math_text": "140 - (-8) / (72 + 813 / (-89))", "variable": null, "family": "expression_4op", "shape": "(- n (/ n (+ n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 140, \"b\": -8, \"c\": 72, \"d\": 813, \"e\": -89}", "seed": "5969330216851848555", "semantic_fingerprint": "sha256:a308157dc2005e898097d0584dac0bbf9d661581e37751c12863ba89a6627934", "generator_version": "3.0"}
{"id": "v3_test_id_00002847", "prompt": "Compute: -22 + 898", "solution_steps": ["Add: -22 + 898 = 876"], "final_answer": "876", "answer_type": "integer", "kind": "expression", "math_text": "-22 + 898", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": 898}", "seed": "16813889790562748186", "semantic_fingerprint": "sha256:d72a5396508bbb6a3624227df92671c85fe7d49b7cfeeed21523866c1b16635c", "generator_version": "3.0"}
{"id": "v3_test_id_00002848", "prompt": "Find x: -5(x - 1) = 2x", "solution_steps": ["Expand: -5x + 5 = 2x", "Subtract 2x from both sides: -7x + 5 = 0", "Subtract 5 from both sides: -7x = -5", "Divide both sides by -7: x = 5/7"], "final_answer": "5/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 1) = 2x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 1, \"c\": 2}", "seed": "8205888639992971089", "semantic_fingerprint": "sha256:984e57459f0e5dd4b6760b23845f800e3e9e5dd21544befbbe50090e2947c933", "generator_version": "3.0"}
{"id": "v3_test_id_00002849", "prompt": "Solve the equation x - 47 = 10(x + 92) - 994 for x.", "solution_steps": ["Expand: x - 47 = 10x + 920 - 994", "Combine constants: x - 47 = 10x - 74", "Subtract 10x from both sides: -9x - 47 = -74", "Add 47 to both sides: -9x = -27", "Divide both sides by -9: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 47 = 10(x + 92) - 994", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": 10, \"c\": 92, \"e\": -994, \"x\": 3}", "seed": "8978671155660126680", "semantic_fingerprint": "sha256:37c878150b03c47f94712f86789a7bba6de146668510cf942f6733a23c7511ff", "generator_version": "3.0"}
{"id": "v3_test_id_00002850", "prompt": "Evaluate: 458 + (-689) / (-481)", "solution_steps": ["Divide: -689 / (-481) = 53/37", "Add: 458 + 53/37 = 16999/37"], "final_answer": "16999/37", "answer_type": "rational", "kind": "expression", "math_text": "458 + (-689) / (-481)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 458, \"b\": -689, \"c\": -481}", "seed": "11561355169414210686", "semantic_fingerprint": "sha256:fef721af32ae94d61bb036a557c74c86ed190eb58fa4d4d7db1a8923073aaf22", "generator_version": "3.0"}
{"id": "v3_test_id_00002851", "prompt": "Calculate: 575 * (80 / 967)", "solution_steps": ["Divide: 80 / 967 = 80/967", "Multiply: 575 * (80/967) = 46000/967"], "final_answer": "46000/967", "answer_type": "rational", "kind": "expression", "math_text": "575 * (80 / 967)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 575, \"b\": 80, \"c\": 967}", "seed": "14780551999336986877", "semantic_fingerprint": "sha256:c5b2b21de1573e67d1b419d10c30ddf9793339bb8ed85207d504112689ee1f96", "generator_version": "3.0"}
{"id": "v3_test_id_00002852", "prompt": "What is -9 - (-42) * 413?", "solution_steps": ["Multiply: -42 * 413 = -17346", "Subtract: -9 - (-17346) = 17337"], "final_answer": "17337", "answer_type": "integer", "kind": "expression", "math_text": "-9 - (-42) * 413", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -42, \"c\": 413}", "seed": "5072556800096598795", "semantic_fingerprint": "sha256:22c5f5df361e6d7600b109d3a50249108bdba3790ae77353af650363b23c722d", "generator_version": "3.0"}
{"id": "v3_test_id_00002853", "prompt": "Evaluate: (-423 + (-959)) * (3 + (-599))", "solution_steps": ["Add: -423 + (-959) = -1382", "Add: 3 + (-599) = -596", "Multiply: -1382 * (-596) = 823672"], "final_answer": "823672", "answer_type": "integer", "kind": "expression", "math_text": "(-423 + (-959)) * (3 + (-599))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -423, \"b\": -959, \"c\": 3, \"d\": -599}", "seed": "5862513324640423578", "semantic_fingerprint": "sha256:32ac94d2bd84dea680b43b70b9d71a01bd212ebd3ec5a5c099c1d565afeab90f", "generator_version": "3.0"}
{"id": "v3_test_id_00002854", "prompt": "Evaluate: -7 / (-7) / 30", "solution_steps": ["Divide: -7 / (-7) = 1", "Divide: 1 / 30 = 1/30"], "final_answer": "1/30", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (-7) / 30", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -7, \"c\": 30}", "seed": "4082554295277167697", "semantic_fingerprint": "sha256:419e56bea88015164a47ca79ed087000604351d8b95f7c4c24051b24b6b16e34", "generator_version": "3.0"}
{"id": "v3_test_id_00002855", "prompt": "Solve the equation 10x = -9x + 688 for x.", "solution_steps": ["Add 9x to both sides: 19x = 688", "Divide both sides by 19: x = 688/19"], "final_answer": "688/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x = -9x + 688", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -9, \"c\": 688}", "seed": "12354226886954488530", "semantic_fingerprint": "sha256:611775887a6f89f1f086b82a19db73275567f4e86fff32d0609bd233bec4cb38", "generator_version": "3.0"}
{"id": "v3_test_id_00002856", "prompt": "Compute: 3 + 266 + (-2 / 59 + 25) / 8", "solution_steps": ["Add: 3 + 266 = 269", "Divide: -2 / 59 = -2/59", "Add: -2/59 + 25 = 1473/59", "Divide: (1473/59) / 8 = 1473/472", "Add: 269 + 1473/472 = 128441/472"], "final_answer": "128441/472", "answer_type": "rational", "kind": "expression", "math_text": "3 + 266 + (-2 / 59 + 25) / 8", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (/ (+ (/ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 266, \"c\": -2, \"d\": 59, \"e\": 25, \"f\": 8}", "seed": "7020269473899826148", "semantic_fingerprint": "sha256:92ff2e1a32aba324ceb0387e7ee44e12bb980866c30cc2e33cbab9a3fe2d5b9d", "generator_version": "3.0"}
{"id": "v3_test_id_00002857", "prompt": "Solve for x: 3x = x", "solution_steps": ["Subtract x from both sides: 2x = 0", "Divide both sides by 2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3}", "seed": "4153527418296065101", "semantic_fingerprint": "sha256:e812ed9373745196c35e86ef293ed62b1af2503040fec2ee97632eb95a56f821", "generator_version": "3.0"}
{"id": "v3_test_id_00002858", "prompt": "What is -447 * ((0 + 19) / (30 * (-4)))?", "solution_steps": ["Add: 0 + 19 = 19", "Multiply: 30 * (-4) = -120", "Divide: 19 / (-120) = -19/120", "Multiply: -447 * (-19/120) = 2831/40"], "final_answer": "2831/40", "answer_type": "rational", "kind": "expression", "math_text": "-447 * ((0 + 19) / (30 * (-4)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (+ n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -447, \"b\": 0, \"c\": 19, \"d\": 30, \"e\": -4}", "seed": "7549986537262055304", "semantic_fingerprint": "sha256:6cdbbd022442978ed497747050641fc978099f8f8564a21f047ea753d8aac28b", "generator_version": "3.0"}
{"id": "v3_test_id_00002859", "prompt": "Evaluate: 2 * (-3 / (-73) + 848)", "solution_steps": ["Divide: -3 / (-73) = 3/73", "Add: 3/73 + 848 = 61907/73", "Multiply: 2 * (61907/73) = 123814/73"], "final_answer": "123814/73", "answer_type": "rational", "kind": "expression", "math_text": "2 * (-3 / (-73) + 848)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -3, \"c\": -73, \"d\": 848}", "seed": "10720757023585821546", "semantic_fingerprint": "sha256:3eedc38d1ee79044b50af8f0606d5cc329a938a2433cde3ca0489ae1a195d060", "generator_version": "3.0"}
{"id": "v3_test_id_00002860", "prompt": "What is 58 * 54 + (-380 - (-490)) + 33?", "solution_steps": ["Multiply: 58 * 54 = 3132", "Subtract: -380 - (-490) = 110", "Add: 3132 + 110 = 3242", "Add: 3242 + 33 = 3275"], "final_answer": "3275", "answer_type": "integer", "kind": "expression", "math_text": "58 * 54 + (-380 - (-490)) + 33", "variable": null, "family": "expression_4op", "shape": "(+ (+ (* n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": 54, \"c\": -380, \"d\": -490, \"e\": 33}", "seed": "16258647082994123281", "semantic_fingerprint": "sha256:f62da4402846429522a2a1dd43c7bf72dbadc1267665d8e780545cdda0fe0a20", "generator_version": "3.0"}
{"id": "v3_test_id_00002861", "prompt": "Evaluate: -1 * (-5 - (-5)) - (-2 + (-831))", "solution_steps": ["Subtract: -5 - (-5) = 0", "Multiply: -1 * 0 = 0", "Add: -2 + (-831) = -833", "Subtract: 0 - (-833) = 833"], "final_answer": "833", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (-5 - (-5)) - (-2 + (-831))", "variable": null, "family": "expression_4op", "shape": "(- (* n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -5, \"c\": -5, \"d\": -2, \"e\": -831}", "seed": "4968183210920668051", "semantic_fingerprint": "sha256:84481d1f8538a3d5c7939789f0c81db289a0aa7cd52afd9b8fb02248968b8578", "generator_version": "3.0"}
{"id": "v3_test_id_00002862", "prompt": "What value of x satisfies -2x = -8(x - 1) + 10?", "solution_steps": ["Expand: -2x = -8x + 8 + 10", "Combine constants: -2x = -8x + 18", "Add 8x to both sides: 6x = 18", "Divide both sides by 6: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x = -8(x - 1) + 10", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -8, \"c\": 1, \"e\": 10, \"x\": 3}", "seed": "7904225425500211193", "semantic_fingerprint": "sha256:fafcf16157f08b5cb2d3a1ba866960fd3014f25736c7593147bac43d9a01f458", "generator_version": "3.0"}
{"id": "v3_test_id_00002863", "prompt": "Solve the equation 2x + 19 = 11(x - 55) + 741 for x.", "solution_steps": ["Expand: 2x + 19 = 11x - 605 + 741", "Combine constants: 2x + 19 = 11x + 136", "Subtract 11x from both sides: -9x + 19 = 136", "Subtract 19 from both sides: -9x = 117", "Divide both sides by -9: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x + 19 = 11(x - 55) + 741", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 19, \"c\": 11, \"d\": 55, \"f\": 741, \"x\": -13}", "seed": "16475207958116822312", "semantic_fingerprint": "sha256:ad0d4bea84cb18353eac8e33107c092aea49503ab7aeeffe594a78a663ed550d", "generator_version": "3.0"}
{"id": "v3_test_id_00002864", "prompt": "Evaluate: 86 + 5 / (-16) + (-54) - (-82) * 6", "solution_steps": ["Divide: 5 / (-16) = -5/16", "Add: 86 + (-5/16) = 1371/16", "Add: 1371/16 + (-54) = 507/16", "Multiply: -82 * 6 = -492", "Subtract: 507/16 - (-492) = 8379/16"], "final_answer": "8379/16", "answer_type": "rational", "kind": "expression", "math_text": "86 + 5 / (-16) + (-54) - (-82) * 6", "variable": null, "family": "expression_5op", "shape": "(- (+ (+ n (/ n n)) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 5, \"c\": -16, \"d\": -54, \"e\": -82, \"f\": 6}", "seed": "12978646891358055207", "semantic_fingerprint": "sha256:b3ab878905acd90f27479cfa6ecc6d9ff457b432031f366fa2ddfe530ccb01ea", "generator_version": "3.0"}
{"id": "v3_test_id_00002865", "prompt": "Calculate: 943 / (2 / 25)", "solution_steps": ["Divide: 2 / 25 = 2/25", "Divide: 943 / (2/25) = 23575/2"], "final_answer": "23575/2", "answer_type": "rational", "kind": "expression", "math_text": "943 / (2 / 25)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 943, \"b\": 2, \"c\": 25}", "seed": "3816588635961431795", "semantic_fingerprint": "sha256:93fa7cb2755c92d098a6a6946042560bc0b26ff550a50f981c5c43665af63d11", "generator_version": "3.0"}
{"id": "v3_test_id_00002866", "prompt": "What value of x satisfies -12x + 52 = 5x + 528?", "solution_steps": ["Subtract 5x from both sides: -17x + 52 = 528", "Subtract 52 from both sides: -17x = 476", "Divide both sides by -17: x = -28"], "final_answer": "-28", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x + 52 = 5x + 528", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 52, \"c\": 5, \"d\": 528}", "seed": "4733642256693948289", "semantic_fingerprint": "sha256:465886096b3690c5a28ce1abab88d08c0bf7bae6ee60d659f6e6f14c700ae912", "generator_version": "3.0"}
{"id": "v3_test_id_00002867", "prompt": "Calculate: 54 * 37 - (-4)", "solution_steps": ["Multiply: 54 * 37 = 1998", "Subtract: 1998 - (-4) = 2002"], "final_answer": "2002", "answer_type": "integer", "kind": "expression", "math_text": "54 * 37 - (-4)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 37, \"c\": -4}", "seed": "18094869858160176321", "semantic_fingerprint": "sha256:9f8a721d2bd4718109853a815c3bb0ff4cc1f37538bc3194d08a735b0f1d6c51", "generator_version": "3.0"}
{"id": "v3_test_id_00002868", "prompt": "Calculate: -502 / 8", "solution_steps": ["Divide: -502 / 8 = -251/4"], "final_answer": "-251/4", "answer_type": "rational", "kind": "expression", "math_text": "-502 / 8", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -502, \"b\": 8}", "seed": "7559690582380494272", "semantic_fingerprint": "sha256:415706193c66a567a30f673e8f3eb6991566856de655c74249802e6037f2ea8a", "generator_version": "3.0"}
{"id": "v3_test_id_00002869", "prompt": "Compute: -84 * (-69 - (-1)) / (-36 * (-89))", "solution_steps": ["Subtract: -69 - (-1) = -68", "Multiply: -84 * (-68) = 5712", "Multiply: -36 * (-89) = 3204", "Divide: 5712 / 3204 = 476/267"], "final_answer": "476/267", "answer_type": "rational", "kind": "expression", "math_text": "-84 * (-69 - (-1)) / (-36 * (-89))", "variable": null, "family": "expression_4op", "shape": "(/ (* n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": -69, \"c\": -1, \"d\": -36, \"e\": -89}", "seed": "474110378257381153", "semantic_fingerprint": "sha256:c7e48cfaa9b715e427145184abb8ff01a3a942d8c4591b8062d7afb1b4519673", "generator_version": "3.0"}
{"id": "v3_test_id_00002870", "prompt": "Evaluate: (29 - (-50)) / (-53)", "solution_steps": ["Subtract: 29 - (-50) = 79", "Divide: 79 / (-53) = -79/53"], "final_answer": "-79/53", "answer_type": "rational", "kind": "expression", "math_text": "(29 - (-50)) / (-53)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": -50, \"c\": -53}", "seed": "5552614693700260003", "semantic_fingerprint": "sha256:9ead40b6de6db9d9afbd54e8eb32a12b980b263b545e1b15e543ed4dfd992c39", "generator_version": "3.0"}
{"id": "v3_test_id_00002871", "prompt": "Compute: (136 * (-95) - 19) * 35", "solution_steps": ["Multiply: 136 * (-95) = -12920", "Subtract: -12920 - 19 = -12939", "Multiply: -12939 * 35 = -452865"], "final_answer": "-452865", "answer_type": "integer", "kind": "expression", "math_text": "(136 * (-95) - 19) * 35", "variable": null, "family": "expression_3op", "shape": "(* (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 136, \"b\": -95, \"c\": 19, \"d\": 35}", "seed": "13559890943906629771", "semantic_fingerprint": "sha256:c9058c2959ad02ba34f740815488a59afd792f49a3a99ba1e3e1cd369ebc9a6b", "generator_version": "3.0"}
{"id": "v3_test_id_00002872", "prompt": "Solve for x: 6x = 8x - 32", "solution_steps": ["Subtract 8x from both sides: -2x = -32", "Divide both sides by -2: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = 8x - 32", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"d\": -32, \"x\": 16}", "seed": "6364322127309130042", "semantic_fingerprint": "sha256:1184ddfef98f1203c8cdc766a33898b8e8288bc9529c1de4ee1fece3773ef7e1", "generator_version": "3.0"}
{"id": "v3_test_id_00002873", "prompt": "Calculate: 4 + (73 + (-953 + 5) + (-91))", "solution_steps": ["Add: -953 + 5 = -948", "Add: 73 + (-948) = -875", "Add: -875 + (-91) = -966", "Add: 4 + (-966) = -962"], "final_answer": "-962", "answer_type": "integer", "kind": "expression", "math_text": "4 + (73 + (-953 + 5) + (-91))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (+ n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 73, \"c\": -953, \"d\": 5, \"e\": -91}", "seed": "1183491474023105581", "semantic_fingerprint": "sha256:6717ba6a5d9a339edb1e3ab1b448fa0b139957bbf0dacfd29b759ed0cb04a785", "generator_version": "3.0"}
{"id": "v3_test_id_00002874", "prompt": "Calculate: (-94 + 36) * 65", "solution_steps": ["Add: -94 + 36 = -58", "Multiply: -58 * 65 = -3770"], "final_answer": "-3770", "answer_type": "integer", "kind": "expression", "math_text": "(-94 + 36) * 65", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": 36, \"c\": 65}", "seed": "1565899742913573444", "semantic_fingerprint": "sha256:f3da6136665902c31e93719fbd79d210f6c79d0acff7c9992b0fa0046b74895c", "generator_version": "3.0"}
{"id": "v3_test_id_00002875", "prompt": "What is (7 + 35) * 58 * 6?", "solution_steps": ["Add: 7 + 35 = 42", "Multiply: 42 * 58 = 2436", "Multiply: 2436 * 6 = 14616"], "final_answer": "14616", "answer_type": "integer", "kind": "expression", "math_text": "(7 + 35) * 58 * 6", "variable": null, "family": "expression_3op", "shape": "(* (* (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 35, \"c\": 58, \"d\": 6}", "seed": "12964993983051517316", "semantic_fingerprint": "sha256:acaf62661d80e1002fd9df7c597b1379a3e4bf02c7237d7d71a32f4a28c4af75", "generator_version": "3.0"}
{"id": "v3_test_id_00002876", "prompt": "Calculate: 21 * ((941 - 6) / 994)", "solution_steps": ["Subtract: 941 - 6 = 935", "Divide: 935 / 994 = 935/994", "Multiply: 21 * (935/994) = 2805/142"], "final_answer": "2805/142", "answer_type": "rational", "kind": "expression", "math_text": "21 * ((941 - 6) / 994)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": 941, \"c\": 6, \"d\": 994}", "seed": "15706698408414466012", "semantic_fingerprint": "sha256:dd4287cfaaaa851d6df005e15ec67c07abf610761db705b0f4285fa2270cbe5c", "generator_version": "3.0"}
{"id": "v3_test_id_00002877", "prompt": "Solve for x: x + 47 = -42", "solution_steps": ["Subtract 47 from both sides: x = -89"], "final_answer": "-89", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 47 = -42", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": -42}", "seed": "10465971227616403922", "semantic_fingerprint": "sha256:e1383594b9c0874ceebf44eaf4190b729136c597d70668c3927bd44336e87783", "generator_version": "3.0"}
{"id": "v3_test_id_00002878", "prompt": "Solve the equation 4(x - 96) + 31 = x - 332 for x.", "solution_steps": ["Expand: 4x - 384 + 31 = x - 332", "Combine constants: 4x - 353 = x - 332", "Subtract x from both sides: 3x - 353 = -332", "Add 353 to both sides: 3x = 21", "Divide both sides by 3: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 96) + 31 = x - 332", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 96, \"c\": 31, \"e\": -332, \"x\": 7}", "seed": "7360780117967386920", "semantic_fingerprint": "sha256:f4d26189c3936d9b4096bfc3977a6bb5b9aab81e94303d2629abeaaae6d4123d", "generator_version": "3.0"}
{"id": "v3_test_id_00002879", "prompt": "Calculate: 30 - 722 + (-98)", "solution_steps": ["Subtract: 30 - 722 = -692", "Add: -692 + (-98) = -790"], "final_answer": "-790", "answer_type": "integer", "kind": "expression", "math_text": "30 - 722 + (-98)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": 722, \"c\": -98}", "seed": "3615783142404613900", "semantic_fingerprint": "sha256:70e7c15b718435391e6e39514c39bd8f70d348c3010e235d5f9e87bce0087411", "generator_version": "3.0"}
{"id": "v3_test_id_00002880", "prompt": "Calculate: -818 / (-2 / (-9 / (-5))) - (-38)", "solution_steps": ["Divide: -9 / (-5) = 9/5", "Divide: -2 / (9/5) = -10/9", "Divide: -818 / (-10/9) = 3681/5", "Subtract: 3681/5 - (-38) = 3871/5"], "final_answer": "3871/5", "answer_type": "rational", "kind": "expression", "math_text": "-818 / (-2 / (-9 / (-5))) - (-38)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (/ n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -818, \"b\": -2, \"c\": -9, \"d\": -5, \"e\": -38}", "seed": "7722071957449808361", "semantic_fingerprint": "sha256:6a64e922b495a3749ed603b27a3cae8be0d7959e72923a58e22f9db17d5e0fc5", "generator_version": "3.0"}
{"id": "v3_test_id_00002881", "prompt": "Find x: -6x = 7x", "solution_steps": ["Subtract 7x from both sides: -13x = 0", "Divide both sides by -13: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x = 7x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 7}", "seed": "7443428491509033763", "semantic_fingerprint": "sha256:1a5d093a890a16de4dcb5f816485d5378a42b6ace2b594dc2923d6caf154fc03", "generator_version": "3.0"}
{"id": "v3_test_id_00002882", "prompt": "What is 8 / (57 * 4) - (-339 - 95)?", "solution_steps": ["Multiply: 57 * 4 = 228", "Divide: 8 / 228 = 2/57", "Subtract: -339 - 95 = -434", "Subtract: 2/57 - (-434) = 24740/57"], "final_answer": "24740/57", "answer_type": "rational", "kind": "expression", "math_text": "8 / (57 * 4) - (-339 - 95)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (* n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 57, \"c\": 4, \"d\": -339, \"e\": 95}", "seed": "12028502980077973981", "semantic_fingerprint": "sha256:36b28e6a37d6fa39f391cd88ce4a5f762a72741e3b3037828846f418dcefcc4d", "generator_version": "3.0"}
{"id": "v3_test_id_00002883", "prompt": "What value of x satisfies 7(x - 940) = 10(x - 65)?", "solution_steps": ["Expand: 7x - 6580 = 10(x - 65)", "Expand: 7x - 6580 = 10x - 650", "Subtract 10x from both sides: -3x - 6580 = -650", "Add 6580 to both sides: -3x = 5930", "Divide both sides by -3: x = -5930/3"], "final_answer": "-5930/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 940) = 10(x - 65)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 940, \"c\": 10, \"d\": 65}", "seed": "13406494479024225237", "semantic_fingerprint": "sha256:3219d67b5a678e30623641aee3e399e7cb051b6cb47abfb8d553d0f5c9acacef", "generator_version": "3.0"}
{"id": "v3_test_id_00002884", "prompt": "Find x: 9(x + 8) = -4x + 790", "solution_steps": ["Expand: 9x + 72 = -4x + 790", "Add 4x to both sides: 13x + 72 = 790", "Subtract 72 from both sides: 13x = 718", "Divide both sides by 13: x = 718/13"], "final_answer": "718/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 8) = -4x + 790", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": -4, \"d\": 790}", "seed": "12906130332009557549", "semantic_fingerprint": "sha256:3b0cb348b2a511c08161ea9189388b716235163c40a3e1aadf8b60d828ee3453", "generator_version": "3.0"}
{"id": "v3_test_id_00002885", "prompt": "Compute: 210 - 0", "solution_steps": ["Subtract: 210 - 0 = 210"], "final_answer": "210", "answer_type": "integer", "kind": "expression", "math_text": "210 - 0", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 210, \"b\": 0}", "seed": "11086299657016977166", "semantic_fingerprint": "sha256:873e251d617b947817e8e50a3b8c0190ea3e98f9fac82c35cf0513c819121067", "generator_version": "3.0"}
{"id": "v3_test_id_00002886", "prompt": "Solve the equation -2(x + 86) = 3(x + 85) - 512 for x.", "solution_steps": ["Expand: -2x - 172 = 3(x + 85) - 512", "Expand: -2x - 172 = 3x + 255 - 512", "Combine constants: -2x - 172 = 3x - 257", "Subtract 3x from both sides: -5x - 172 = -257", "Add 172 to both sides: -5x = -85", "Divide both sides by -5: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 86) = 3(x + 85) - 512", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 86, \"c\": 3, \"d\": 85, \"f\": -512, \"x\": 17}", "seed": "1133658349600507057", "semantic_fingerprint": "sha256:cbaf967f59bab19e522999c53156aec29a701c1062962a09f09c9f871945c25c", "generator_version": "3.0"}
{"id": "v3_test_id_00002887", "prompt": "Calculate: 2 * (-847 + 0)", "solution_steps": ["Add: -847 + 0 = -847", "Multiply: 2 * (-847) = -1694"], "final_answer": "-1694", "answer_type": "integer", "kind": "expression", "math_text": "2 * (-847 + 0)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -847, \"c\": 0}", "seed": "15933642799115461307", "semantic_fingerprint": "sha256:3640d9b514b074c87c1c20cd0ca472e9be4deacfe7a775ddf8aea9f3aeb87874", "generator_version": "3.0"}
{"id": "v3_test_id_00002888", "prompt": "Evaluate: (2 + (-680)) / (-48) / 84", "solution_steps": ["Add: 2 + (-680) = -678", "Divide: -678 / (-48) = 113/8", "Divide: (113/8) / 84 = 113/672"], "final_answer": "113/672", "answer_type": "rational", "kind": "expression", "math_text": "(2 + (-680)) / (-48) / 84", "variable": null, "family": "expression_3op", "shape": "(/ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -680, \"c\": -48, \"d\": 84}", "seed": "7350482648909038275", "semantic_fingerprint": "sha256:bcd1d60f225666e24c888066c5e14941e5198796d405edeaf66c4db3806c045f", "generator_version": "3.0"}
{"id": "v3_test_id_00002889", "prompt": "Solve the equation 8x + 72 = 4x for x.", "solution_steps": ["Subtract 4x from both sides: 4x + 72 = 0", "Subtract 72 from both sides: 4x = -72", "Divide both sides by 4: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x + 72 = 4x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"d\": 72, \"x\": -18}", "seed": "3570476214966892370", "semantic_fingerprint": "sha256:39d7c427e2e9e1048142772dd929a60eceb59a9710e6c5a89a602e156d2b0130", "generator_version": "3.0"}
{"id": "v3_test_id_00002890", "prompt": "Compute: -88 - (9 * 28 + (-58) * 9)", "solution_steps": ["Multiply: 9 * 28 = 252", "Multiply: -58 * 9 = -522", "Add: 252 + (-522) = -270", "Subtract: -88 - (-270) = 182"], "final_answer": "182", "answer_type": "integer", "kind": "expression", "math_text": "-88 - (9 * 28 + (-58) * 9)", "variable": null, "family": "expression_4op", "shape": "(- n (+ (* n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": 9, \"c\": 28, \"d\": -58, \"e\": 9}", "seed": "15132539367345467315", "semantic_fingerprint": "sha256:5e62138504b10faa2de3d5618c52c95982588b6608ab0e6393f1ac80ef645d4c", "generator_version": "3.0"}
{"id": "v3_test_id_00002891", "prompt": "Compute: -6 / (61 * (-3 * 6))", "solution_steps": ["Multiply: -3 * 6 = -18", "Multiply: 61 * (-18) = -1098", "Divide: -6 / (-1098) = 1/183"], "final_answer": "1/183", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (61 * (-3 * 6))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 61, \"c\": -3, \"d\": 6}", "seed": "225301326235387496", "semantic_fingerprint": "sha256:f785133215519c426628b1641504ff2005f94a3f5f15329b7592608f5e7efaac", "generator_version": "3.0"}
{"id": "v3_test_id_00002892", "prompt": "Calculate: -80 + (-338) / (-285 + 43)", "solution_steps": ["Add: -285 + 43 = -242", "Divide: -338 / (-242) = 169/121", "Add: -80 + 169/121 = -9511/121"], "final_answer": "-9511/121", "answer_type": "rational", "kind": "expression", "math_text": "-80 + (-338) / (-285 + 43)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": -338, \"c\": -285, \"d\": 43}", "seed": "13136940395318245468", "semantic_fingerprint": "sha256:776ecfda818a65403e0d43f6dafcc5fbf890800a11789090b7e9447fe07f48c8", "generator_version": "3.0"}
{"id": "v3_test_id_00002893", "prompt": "What is -820 - (-49 + 99)?", "solution_steps": ["Add: -49 + 99 = 50", "Subtract: -820 - 50 = -870"], "final_answer": "-870", "answer_type": "integer", "kind": "expression", "math_text": "-820 - (-49 + 99)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -820, \"b\": -49, \"c\": 99}", "seed": "4433025277940203449", "semantic_fingerprint": "sha256:5cf55f403df6651ee595720289f95cca1af89abed20b22abb4e0febae2e7cd66", "generator_version": "3.0"}
{"id": "v3_test_id_00002894", "prompt": "What value of x satisfies 11x - 5 = -148?", "solution_steps": ["Add 5 to both sides: 11x = -143", "Divide both sides by 11: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 5 = -148", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"d\": -148, \"x\": -13}", "seed": "8376558827189727450", "semantic_fingerprint": "sha256:9dce158c095228812c80265cd2238b74981d99c428442efe183847667f39d2d3", "generator_version": "3.0"}
{"id": "v3_test_id_00002895", "prompt": "Find x: -10(x - 505) + 16 = x + 2", "solution_steps": ["Expand: -10x + 5050 + 16 = x + 2", "Combine constants: -10x + 5066 = x + 2", "Subtract x from both sides: -11x + 5066 = 2", "Subtract 5066 from both sides: -11x = -5064", "Divide both sides by -11: x = 5064/11"], "final_answer": "5064/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 505) + 16 = x + 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 505, \"c\": 16, \"d\": 2}", "seed": "6753302403275258813", "semantic_fingerprint": "sha256:50e0678214406be9537ee304896328c41803cc2d55432710abbdc59e834e9dcc", "generator_version": "3.0"}
{"id": "v3_test_id_00002896", "prompt": "Calculate: 5 + (20 - (-7))", "solution_steps": ["Subtract: 20 - (-7) = 27", "Add: 5 + 27 = 32"], "final_answer": "32", "answer_type": "integer", "kind": "expression", "math_text": "5 + (20 - (-7))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 20, \"c\": -7}", "seed": "8601478241114254459", "semantic_fingerprint": "sha256:31e51161c1476202400262a365345e43a8feba84514e06684dec548b7d06ce03", "generator_version": "3.0"}
{"id": "v3_test_id_00002897", "prompt": "Calculate: -50 / (-18) + 4", "solution_steps": ["Divide: -50 / (-18) = 25/9", "Add: 25/9 + 4 = 61/9"], "final_answer": "61/9", "answer_type": "rational", "kind": "expression", "math_text": "-50 / (-18) + 4", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": -18, \"c\": 4}", "seed": "3693242236486291552", "semantic_fingerprint": "sha256:e58de4a2b70aebb9ef3e1e9d83f4153a654c3c881453371bb25a8d2b8a8d2e61", "generator_version": "3.0"}
{"id": "v3_test_id_00002898", "prompt": "What value of x satisfies 8(x - 93) = -7(x - 965) - 18?", "solution_steps": ["Expand: 8x - 744 = -7(x - 965) - 18", "Expand: 8x - 744 = -7x + 6755 - 18", "Combine constants: 8x - 744 = -7x + 6737", "Add 7x to both sides: 15x - 744 = 6737", "Add 744 to both sides: 15x = 7481", "Divide both sides by 15: x = 7481/15"], "final_answer": "7481/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 93) = -7(x - 965) - 18", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 93, \"c\": -7, \"d\": 965, \"e\": 18}", "seed": "3336132422273028704", "semantic_fingerprint": "sha256:1bcba89342a3b09ada27780f99ce912480a5dedc1d1ffc365c1bfc46fbc7eb05", "generator_version": "3.0"}
{"id": "v3_test_id_00002899", "prompt": "Compute: -9 - 2", "solution_steps": ["Subtract: -9 - 2 = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "expression", "math_text": "-9 - 2", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 2}", "seed": "6923545088890491570", "semantic_fingerprint": "sha256:1a57167597637e99c0d7ffc2020c84b2444293ceb1a0eff57b8f18c11ff59ae3", "generator_version": "3.0"}
{"id": "v3_test_id_00002900", "prompt": "Evaluate: 79 * (92 - (-481))", "solution_steps": ["Subtract: 92 - (-481) = 573", "Multiply: 79 * 573 = 45267"], "final_answer": "45267", "answer_type": "integer", "kind": "expression", "math_text": "79 * (92 - (-481))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": 92, \"c\": -481}", "seed": "5993855364608135151", "semantic_fingerprint": "sha256:a740e6882a436ffe19c1e636edb3b8e1136643d30e3ef9722150be02d8009479", "generator_version": "3.0"}
{"id": "v3_test_id_00002901", "prompt": "Evaluate: -31 + (-67)", "solution_steps": ["Add: -31 + (-67) = -98"], "final_answer": "-98", "answer_type": "integer", "kind": "expression", "math_text": "-31 + (-67)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -31, \"b\": -67}", "seed": "10489791814911416063", "semantic_fingerprint": "sha256:91955baac1db289f331e083a1234152dfa038b5cdcfd48366b392cc99db9db50", "generator_version": "3.0"}
{"id": "v3_test_id_00002902", "prompt": "Evaluate: (-3 - (-952) + 79) * (562 + (-93))", "solution_steps": ["Subtract: -3 - (-952) = 949", "Add: 949 + 79 = 1028", "Add: 562 + (-93) = 469", "Multiply: 1028 * 469 = 482132"], "final_answer": "482132", "answer_type": "integer", "kind": "expression", "math_text": "(-3 - (-952) + 79) * (562 + (-93))", "variable": null, "family": "expression_4op", "shape": "(* (+ (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -952, \"c\": 79, \"d\": 562, \"e\": -93}", "seed": "2249698312433970292", "semantic_fingerprint": "sha256:0a4f3195cae27c150c08b45ef0d84a601121aaaf0e6e993a08f197630961ffdd", "generator_version": "3.0"}
{"id": "v3_test_id_00002903", "prompt": "Calculate: -19 - (-500)", "solution_steps": ["Subtract: -19 - (-500) = 481"], "final_answer": "481", "answer_type": "integer", "kind": "expression", "math_text": "-19 - (-500)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": -500}", "seed": "16130928945361625372", "semantic_fingerprint": "sha256:ea44f40e838dff132aaaf111ee1646724960c5dc042587e2549a581a0232e6cb", "generator_version": "3.0"}
{"id": "v3_test_id_00002904", "prompt": "Evaluate: (-3 + 0 - (-750)) / (41 * (-6) / (-3))", "solution_steps": ["Add: -3 + 0 = -3", "Subtract: -3 - (-750) = 747", "Multiply: 41 * (-6) = -246", "Divide: -246 / (-3) = 82", "Divide: 747 / 82 = 747/82"], "final_answer": "747/82", "answer_type": "rational", "kind": "expression", "math_text": "(-3 + 0 - (-750)) / (41 * (-6) / (-3))", "variable": null, "family": "expression_5op", "shape": "(/ (- (+ n n) n) (/ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 0, \"c\": -750, \"d\": 41, \"e\": -6, \"f\": -3}", "seed": "2545887838081061369", "semantic_fingerprint": "sha256:3fe3c38a6ec062d63a1a820281ace56658c4a09eb499c2ccb8891825198588a4", "generator_version": "3.0"}
{"id": "v3_test_id_00002905", "prompt": "What is -765 - (79 - (-207 - 34)) + 54 * 430?", "solution_steps": ["Subtract: -207 - 34 = -241", "Subtract: 79 - (-241) = 320", "Subtract: -765 - 320 = -1085", "Multiply: 54 * 430 = 23220", "Add: -1085 + 23220 = 22135"], "final_answer": "22135", "answer_type": "integer", "kind": "expression", "math_text": "-765 - (79 - (-207 - 34)) + 54 * 430", "variable": null, "family": "expression_5op", "shape": "(+ (- n (- n (- n n))) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -765, \"b\": 79, \"c\": -207, \"d\": 34, \"e\": 54, \"f\": 430}", "seed": "4347973978311920937", "semantic_fingerprint": "sha256:4dbff4eeeefbaf760ca35118c5141a403e3588471237eb3979385e62ab2882f7", "generator_version": "3.0"}
{"id": "v3_test_id_00002906", "prompt": "Solve the equation x - 572 = -10x + 1 for x.", "solution_steps": ["Add 10x to both sides: 11x - 572 = 1", "Add 572 to both sides: 11x = 573", "Divide both sides by 11: x = 573/11"], "final_answer": "573/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 572 = -10x + 1", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 572, \"b\": -10, \"c\": 1}", "seed": "15720993275227621344", "semantic_fingerprint": "sha256:e68690de600d6f25394f44869681e6972f416de1a09258712bccf2a4b275ca0c", "generator_version": "3.0"}
{"id": "v3_test_id_00002907", "prompt": "Find x: -3x = 12(x - 81) + 927", "solution_steps": ["Expand: -3x = 12x - 972 + 927", "Combine constants: -3x = 12x - 45", "Subtract 12x from both sides: -15x = -45", "Divide both sides by -15: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x = 12(x - 81) + 927", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 12, \"c\": 81, \"e\": 927, \"x\": 3}", "seed": "16079657810047621022", "semantic_fingerprint": "sha256:6d9115dd3a0ebb92b92e9a2b7bc492d4e0e5f1280a3829d0f8a160e6c53e484f", "generator_version": "3.0"}
{"id": "v3_test_id_00002908", "prompt": "Solve for x: x - 96 = 9x", "solution_steps": ["Subtract 9x from both sides: -8x - 96 = 0", "Add 96 to both sides: -8x = 96", "Divide both sides by -8: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 96 = 9x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"c\": -96, \"x\": -12}", "seed": "5940295286413476084", "semantic_fingerprint": "sha256:1adabe13ae3ad7f0709ec2afad3817d10bd31aac0861b716499e0301832d25cc", "generator_version": "3.0"}
{"id": "v3_test_id_00002909", "prompt": "Compute: (1 - 3 + (-5)) / (-124 / (-7))", "solution_steps": ["Subtract: 1 - 3 = -2", "Add: -2 + (-5) = -7", "Divide: -124 / (-7) = 124/7", "Divide: -7 / (124/7) = -49/124"], "final_answer": "-49/124", "answer_type": "rational", "kind": "expression", "math_text": "(1 - 3 + (-5)) / (-124 / (-7))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (- n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 3, \"c\": -5, \"d\": -124, \"e\": -7}", "seed": "9581712344872739043", "semantic_fingerprint": "sha256:2e2ee3cb9782914bdc421eb5e154483cc870b3c7ae7111d9184ca432b470f268", "generator_version": "3.0"}
{"id": "v3_test_id_00002910", "prompt": "Compute: -833 / ((13 - 4) / (-8) - 7)", "solution_steps": ["Subtract: 13 - 4 = 9", "Divide: 9 / (-8) = -9/8", "Subtract: -9/8 - 7 = -65/8", "Divide: -833 / (-65/8) = 6664/65"], "final_answer": "6664/65", "answer_type": "rational", "kind": "expression", "math_text": "-833 / ((13 - 4) / (-8) - 7)", "variable": null, "family": "expression_4op", "shape": "(/ n (- (/ (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -833, \"b\": 13, \"c\": 4, \"d\": -8, \"e\": 7}", "seed": "12394289277741516522", "semantic_fingerprint": "sha256:28b0a870b73797ac55173f3226f61c258875b757cde68e6a60355a99ffc437a6", "generator_version": "3.0"}
{"id": "v3_test_id_00002911", "prompt": "What value of x satisfies 2x - 5 = x - 18?", "solution_steps": ["Subtract x from both sides: x - 5 = -18", "Add 5 to both sides: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 5 = x - 18", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"d\": -18, \"x\": -13}", "seed": "13449009222505538353", "semantic_fingerprint": "sha256:aa2ef2afe553c30d350f41e10b7c2896fb17d157bdec0ab5922852955643af96", "generator_version": "3.0"}
{"id": "v3_test_id_00002912", "prompt": "What value of x satisfies 6(x + 90) = 3x?", "solution_steps": ["Expand: 6x + 540 = 3x", "Subtract 3x from both sides: 3x + 540 = 0", "Subtract 540 from both sides: 3x = -540", "Divide both sides by 3: x = -180"], "final_answer": "-180", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 90) = 3x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 90, \"c\": 3}", "seed": "39831610621322243", "semantic_fingerprint": "sha256:82ca85064bf466fc9daf1ec6ca5812dd92ab9f0b0a48c10c2e3a4eac006c7ff4", "generator_version": "3.0"}
{"id": "v3_test_id_00002913", "prompt": "What is -3 / 857?", "solution_steps": ["Divide: -3 / 857 = -3/857"], "final_answer": "-3/857", "answer_type": "rational", "kind": "expression", "math_text": "-3 / 857", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 857}", "seed": "12859738936092221499", "semantic_fingerprint": "sha256:96155fa24a1d5b5ee9c029ac00b632a79dd2b41122ec90ebe0a8c39701b3ac38", "generator_version": "3.0"}
{"id": "v3_test_id_00002914", "prompt": "What value of x satisfies 8(x + 3) + 74 = 10x + 98?", "solution_steps": ["Expand: 8x + 24 + 74 = 10x + 98", "Combine constants: 8x + 98 = 10x + 98", "Subtract 10x from both sides: -2x + 98 = 98", "Subtract 98 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 + 3) + 74 = 10x + 98", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": 74, \"d\": 10, \"e\": 98}", "seed": "7488374395156426948", "semantic_fingerprint": "sha256:6d30c3d97c6fe269eb7d5f5105c120b62da47d032838c9cbe57260575505e601", "generator_version": "3.0"}
{"id": "v3_test_id_00002915", "prompt": "Find x: -11x - 110 = 11(x + 6)", "solution_steps": ["Expand: -11x - 110 = 11x + 66", "Subtract 11x from both sides: -22x - 110 = 66", "Add 110 to both sides: -22x = 176", "Divide both sides by -22: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 110 = 11(x + 6)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 11, \"c\": 6, \"e\": -110, \"x\": -8}", "seed": "5112990974175152659", "semantic_fingerprint": "sha256:eae3020f89b5679837674b281c033c573002d74cf308fd951fab5cddf28e935a", "generator_version": "3.0"}
{"id": "v3_test_id_00002916", "prompt": "Calculate: -94 * (3 + 50) / 555 - (-5 + 0)", "solution_steps": ["Add: 3 + 50 = 53", "Multiply: -94 * 53 = -4982", "Divide: -4982 / 555 = -4982/555", "Add: -5 + 0 = -5", "Subtract: -4982/555 - (-5) = -2207/555"], "final_answer": "-2207/555", "answer_type": "rational", "kind": "expression", "math_text": "-94 * (3 + 50) / 555 - (-5 + 0)", "variable": null, "family": "expression_5op", "shape": "(- (/ (* n (+ n n)) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": 3, \"c\": 50, \"d\": 555, \"e\": -5, \"f\": 0}", "seed": "16733647320263039708", "semantic_fingerprint": "sha256:e3c93188eab671694076d9f7bc33baced7c025767db8362aeaf9d1958946db20", "generator_version": "3.0"}
{"id": "v3_test_id_00002917", "prompt": "What is 76 - (-86 - 56 * 3 * 999 * (-2))?", "solution_steps": ["Multiply: 56 * 3 = 168", "Multiply: 168 * 999 = 167832", "Multiply: 167832 * (-2) = -335664", "Subtract: -86 - (-335664) = 335578", "Subtract: 76 - 335578 = -335502"], "final_answer": "-335502", "answer_type": "integer", "kind": "expression", "math_text": "76 - (-86 - 56 * 3 * 999 * (-2))", "variable": null, "family": "expression_5op", "shape": "(- n (- n (* (* (* n n) n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": -86, \"c\": 56, \"d\": 3, \"e\": 999, \"f\": -2}", "seed": "11376525286341555652", "semantic_fingerprint": "sha256:9e1d66d3e5f0b38e87f657051ac345d42ccf0dc2fd1f28204003e593f72607e7", "generator_version": "3.0"}
{"id": "v3_test_id_00002918", "prompt": "Solve for x: 4(x - 25) + 1 = x - 129", "solution_steps": ["Expand: 4x - 100 + 1 = x - 129", "Combine constants: 4x - 99 = x - 129", "Subtract x from both sides: 3x - 99 = -129", "Add 99 to both sides: 3x = -30", "Divide both sides by 3: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 25) + 1 = x - 129", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 25, \"c\": 1, \"e\": -129, \"x\": -10}", "seed": "372776309839834574", "semantic_fingerprint": "sha256:b2d73644a70edaa4350b2291e4874cb0002eb43705271a1bb916f3ee83ccba06", "generator_version": "3.0"}
{"id": "v3_test_id_00002919", "prompt": "Compute: -45 / (128 - 806)", "solution_steps": ["Subtract: 128 - 806 = -678", "Divide: -45 / (-678) = 15/226"], "final_answer": "15/226", "answer_type": "rational", "kind": "expression", "math_text": "-45 / (128 - 806)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": 128, \"c\": 806}", "seed": "6008941162904699289", "semantic_fingerprint": "sha256:ae91428e931115854e223aa9890bc6d6889ebec56c355325b776f90c44dcf92d", "generator_version": "3.0"}
{"id": "v3_test_id_00002920", "prompt": "What value of x satisfies -9(x - 50) = 6(x + 9)?", "solution_steps": ["Expand: -9x + 450 = 6(x + 9)", "Expand: -9x + 450 = 6x + 54", "Subtract 6x from both sides: -15x + 450 = 54", "Subtract 450 from both sides: -15x = -396", "Divide both sides by -15: x = 132/5"], "final_answer": "132/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 50) = 6(x + 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 50, \"c\": 6, \"d\": 9}", "seed": "12544393667789236225", "semantic_fingerprint": "sha256:22f5c166f844019af2ae5bef60d790e93fc8b45f62db85b38bd0752ea06db1b0", "generator_version": "3.0"}
{"id": "v3_test_id_00002921", "prompt": "Solve the equation 9(x - 704) = 5x + 567 for x.", "solution_steps": ["Expand: 9x - 6336 = 5x + 567", "Subtract 5x from both sides: 4x - 6336 = 567", "Add 6336 to both sides: 4x = 6903", "Divide both sides by 4: x = 6903/4"], "final_answer": "6903/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 704) = 5x + 567", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 704, \"c\": 5, \"d\": 567}", "seed": "17803196961800099418", "semantic_fingerprint": "sha256:37f3ae632d1f9fe3a909b7a6f0356a5940efbf9ae134f7e1860368b371b4c2ca", "generator_version": "3.0"}
{"id": "v3_test_id_00002922", "prompt": "Compute: 94 * 3 - (-9) + (-2) * (-81)", "solution_steps": ["Multiply: 94 * 3 = 282", "Subtract: 282 - (-9) = 291", "Multiply: -2 * (-81) = 162", "Add: 291 + 162 = 453"], "final_answer": "453", "answer_type": "integer", "kind": "expression", "math_text": "94 * 3 - (-9) + (-2) * (-81)", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": 3, \"c\": -9, \"d\": -2, \"e\": -81}", "seed": "18391334675988244161", "semantic_fingerprint": "sha256:c61930ee3707ef94745b80dd257cd639d1ec94d2e6348c6d13c1aeec6a9edd45", "generator_version": "3.0"}
{"id": "v3_test_id_00002923", "prompt": "Compute: (-727 / (-56) + 9) / (-7 * (-8)) - (-11)", "solution_steps": ["Divide: -727 / (-56) = 727/56", "Add: 727/56 + 9 = 1231/56", "Multiply: -7 * (-8) = 56", "Divide: (1231/56) / 56 = 1231/3136", "Subtract: 1231/3136 - (-11) = 35727/3136"], "final_answer": "35727/3136", "answer_type": "rational", "kind": "expression", "math_text": "(-727 / (-56) + 9) / (-7 * (-8)) - (-11)", "variable": null, "family": "expression_5op", "shape": "(- (/ (+ (/ n n) n) (* n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -727, \"b\": -56, \"c\": 9, \"d\": -7, \"e\": -8, \"f\": -11}", "seed": "6349876782053946346", "semantic_fingerprint": "sha256:6c4304ed0cade0d4195f0b1cb6a93d5943cd9bd4f346e6a9fd9d9997ac5ccacf", "generator_version": "3.0"}
{"id": "v3_test_id_00002924", "prompt": "Solve the equation 9x + 62 = 4x - 23 for x.", "solution_steps": ["Subtract 4x from both sides: 5x + 62 = -23", "Subtract 62 from both sides: 5x = -85", "Divide both sides by 5: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x + 62 = 4x - 23", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 62, \"c\": 4, \"e\": -23, \"x\": -17}", "seed": "17148468447562614200", "semantic_fingerprint": "sha256:fcb3683a944494ee8bdeb136620ad96819b8e5670391cf64bb52eef2994406be", "generator_version": "3.0"}
{"id": "v3_test_id_00002925", "prompt": "Solve the equation 6x - 54 = 4(x + 9) - 92 for x.", "solution_steps": ["Expand: 6x - 54 = 4x + 36 - 92", "Combine constants: 6x - 54 = 4x - 56", "Subtract 4x from both sides: 2x - 54 = -56", "Add 54 to both sides: 2x = -2", "Divide both sides by 2: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 54 = 4(x + 9) - 92", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 54, \"c\": 4, \"d\": 9, \"f\": -92, \"x\": -1}", "seed": "14849031728337191219", "semantic_fingerprint": "sha256:51647eb8eb8a8b18364b00fbbd22ec70fbf3cd18bc989d8d06728e854b3c0dc0", "generator_version": "3.0"}
{"id": "v3_test_id_00002926", "prompt": "Evaluate: 56 + (-295)", "solution_steps": ["Add: 56 + (-295) = -239"], "final_answer": "-239", "answer_type": "integer", "kind": "expression", "math_text": "56 + (-295)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": -295}", "seed": "16138960431142979215", "semantic_fingerprint": "sha256:16a71acb7020e73416113b804bc41f59bf7385028930ebb8deab78d7f40ee263", "generator_version": "3.0"}
{"id": "v3_test_id_00002927", "prompt": "Find x: 11x + 2 = x - 98", "solution_steps": ["Subtract x from both sides: 10x + 2 = -98", "Subtract 2 from both sides: 10x = -100", "Divide both sides by 10: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 2 = x - 98", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 2, \"d\": -98, \"x\": -10}", "seed": "5316834396774504080", "semantic_fingerprint": "sha256:363d7c2bdc22141d57ab5e0a85baa6d09f67dfc548c2e11ba53bbac498df54fd", "generator_version": "3.0"}
{"id": "v3_test_id_00002928", "prompt": "What is -6 * 126 + (-52 - 0) * 81?", "solution_steps": ["Multiply: -6 * 126 = -756", "Subtract: -52 - 0 = -52", "Multiply: -52 * 81 = -4212", "Add: -756 + (-4212) = -4968"], "final_answer": "-4968", "answer_type": "integer", "kind": "expression", "math_text": "-6 * 126 + (-52 - 0) * 81", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 126, \"c\": -52, \"d\": 0, \"e\": 81}", "seed": "16033413150499300780", "semantic_fingerprint": "sha256:8bf0e6a7c2b86800157a240f96024618b7d8fa37c336fa8ee66d7078eba4ccac", "generator_version": "3.0"}
{"id": "v3_test_id_00002929", "prompt": "What is (-5 - (-5)) / (982 + (-81) - (-260))?", "solution_steps": ["Subtract: -5 - (-5) = 0", "Add: 982 + (-81) = 901", "Subtract: 901 - (-260) = 1161", "Divide: 0 / 1161 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-5 - (-5)) / (982 + (-81) - (-260))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (- (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -5, \"c\": 982, \"d\": -81, \"e\": -260}", "seed": "6685120567577195852", "semantic_fingerprint": "sha256:e9ed63dfe4a6d11f609d7dbe7f633827eebab313d17d730e7b19d7879be6bd11", "generator_version": "3.0"}
{"id": "v3_test_id_00002930", "prompt": "Solve for x: x - 5 = -11x + 103", "solution_steps": ["Add 11x to both sides: 12x - 5 = 103", "Add 5 to both sides: 12x = 108", "Divide both sides by 12: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5 = -11x + 103", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -11, \"d\": 103, \"x\": 9}", "seed": "12005647728576896890", "semantic_fingerprint": "sha256:9943646697a7de3e8f4d310f22adcaa67492b5132dbe00c2eca6b6a32f422081", "generator_version": "3.0"}
{"id": "v3_test_id_00002931", "prompt": "What is 30 / (-78)?", "solution_steps": ["Divide: 30 / (-78) = -5/13"], "final_answer": "-5/13", "answer_type": "rational", "kind": "expression", "math_text": "30 / (-78)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": -78}", "seed": "16192168898184286613", "semantic_fingerprint": "sha256:f8185f122fbca6a261aff2904bc0500179af00c4a2b59ff3745617dd24c3d466", "generator_version": "3.0"}
{"id": "v3_test_id_00002932", "prompt": "What value of x satisfies 2(x - 5) = 6x?", "solution_steps": ["Expand: 2x - 10 = 6x", "Subtract 6x from both sides: -4x - 10 = 0", "Add 10 to both sides: -4x = 10", "Divide both sides by -4: x = -5/2"], "final_answer": "-5/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 5) = 6x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"c\": 6}", "seed": "10819574981652046576", "semantic_fingerprint": "sha256:bc171ebdb2a77cdf02a98394d6d39e50bfb1bed9058fd9772b7fe39ece9b2117", "generator_version": "3.0"}
{"id": "v3_test_id_00002933", "prompt": "What is 329 + (497 + (-15))?", "solution_steps": ["Add: 497 + (-15) = 482", "Add: 329 + 482 = 811"], "final_answer": "811", "answer_type": "integer", "kind": "expression", "math_text": "329 + (497 + (-15))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 329, \"b\": 497, \"c\": -15}", "seed": "7592138584161040240", "semantic_fingerprint": "sha256:6c889cf912845b03a4aa709b8291d7c5f5fbf5f4fe8f9b03f95c1dd23869887d", "generator_version": "3.0"}
{"id": "v3_test_id_00002934", "prompt": "Find x: x + 63 = 3x + 65", "solution_steps": ["Subtract 3x from both sides: -2x + 63 = 65", "Subtract 63 from both sides: -2x = 2", "Divide both sides by -2: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 63 = 3x + 65", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": 3, \"d\": 65, \"x\": -1}", "seed": "1204911298445191476", "semantic_fingerprint": "sha256:d79e580e835d6c8e348de130bf91fab04e7efe02da4908b6c651fb37cc471e2b", "generator_version": "3.0"}
{"id": "v3_test_id_00002935", "prompt": "Evaluate: 198 - (-2)", "solution_steps": ["Subtract: 198 - (-2) = 200"], "final_answer": "200", "answer_type": "integer", "kind": "expression", "math_text": "198 - (-2)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 198, \"b\": -2}", "seed": "15057602338349788400", "semantic_fingerprint": "sha256:71af4cf65ffdd67837a9fc558862e9e16a5d8f693f40a766ab005a8ac0d0a9f5", "generator_version": "3.0"}
{"id": "v3_test_id_00002936", "prompt": "Calculate: 9 / (-24) + (-598) + (414 - 3)", "solution_steps": ["Divide: 9 / (-24) = -3/8", "Add: -3/8 + (-598) = -4787/8", "Subtract: 414 - 3 = 411", "Add: -4787/8 + 411 = -1499/8"], "final_answer": "-1499/8", "answer_type": "rational", "kind": "expression", "math_text": "9 / (-24) + (-598) + (414 - 3)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -24, \"c\": -598, \"d\": 414, \"e\": 3}", "seed": "7893226579864605692", "semantic_fingerprint": "sha256:bdff95eceb84523ac62366a2fc2d59eaa1d08b9489bac7866efa7622f3920c5f", "generator_version": "3.0"}
{"id": "v3_test_id_00002937", "prompt": "Calculate: 551 * 5 * (-28 - (-24 + 8))", "solution_steps": ["Multiply: 551 * 5 = 2755", "Add: -24 + 8 = -16", "Subtract: -28 - (-16) = -12", "Multiply: 2755 * (-12) = -33060"], "final_answer": "-33060", "answer_type": "integer", "kind": "expression", "math_text": "551 * 5 * (-28 - (-24 + 8))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 551, \"b\": 5, \"c\": -28, \"d\": -24, \"e\": 8}", "seed": "3755510426907634309", "semantic_fingerprint": "sha256:b077fd28a81a1221132deadea3bc6b9832b2e3296ed5ae33ed0ed5c2db4f3fd7", "generator_version": "3.0"}
{"id": "v3_test_id_00002938", "prompt": "Calculate: 0 - 6 * (-1 + 6)", "solution_steps": ["Add: -1 + 6 = 5", "Multiply: 6 * 5 = 30", "Subtract: 0 - 30 = -30"], "final_answer": "-30", "answer_type": "integer", "kind": "expression", "math_text": "0 - 6 * (-1 + 6)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 6, \"c\": -1, \"d\": 6}", "seed": "6623930027087862685", "semantic_fingerprint": "sha256:775739d7f0e796f743ac6c0dc61f0a24008fd7cddc627dc2f70e07e8835a87c0", "generator_version": "3.0"}
{"id": "v3_test_id_00002939", "prompt": "What value of x satisfies 9x - 136 = x?", "solution_steps": ["Subtract x from both sides: 8x - 136 = 0", "Add 136 to both sides: 8x = 136", "Divide both sides by 8: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 136 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"c\": -136, \"x\": 17}", "seed": "9382034540021821250", "semantic_fingerprint": "sha256:7fef9ba8f51fb8c3bae8f0bc0bb38084bc06daf3f1af3e14897f31efa0c05fdb", "generator_version": "3.0"}
{"id": "v3_test_id_00002940", "prompt": "Calculate: -53 * (-1 + (-59) + 64 * (-65) / 80)", "solution_steps": ["Add: -1 + (-59) = -60", "Multiply: 64 * (-65) = -4160", "Divide: -4160 / 80 = -52", "Add: -60 + (-52) = -112", "Multiply: -53 * (-112) = 5936"], "final_answer": "5936", "answer_type": "integer", "kind": "expression", "math_text": "-53 * (-1 + (-59) + 64 * (-65) / 80)", "variable": null, "family": "expression_5op", "shape": "(* n (+ (+ n n) (/ (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": -1, \"c\": -59, \"d\": 64, \"e\": -65, \"f\": 80}", "seed": "3954528452008908854", "semantic_fingerprint": "sha256:c325855110861c0bd156ca7489ae4a7e9c8eaca90133b043640b28f1d33fd1ac", "generator_version": "3.0"}
{"id": "v3_test_id_00002941", "prompt": "Find x: 7x + 469 = 9(x + 53)", "solution_steps": ["Expand: 7x + 469 = 9x + 477", "Subtract 9x from both sides: -2x + 469 = 477", "Subtract 469 from both sides: -2x = 8", "Divide both sides by -2: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 469 = 9(x + 53)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": 53, \"e\": 469, \"x\": -4}", "seed": "15622824969732586112", "semantic_fingerprint": "sha256:94ccf20349d0ec95a90c48e939f242330e710ba89ade933345932d4ce5b2ed17", "generator_version": "3.0"}
{"id": "v3_test_id_00002942", "prompt": "Solve the equation x = 12(x + 926) + 26 for x.", "solution_steps": ["Expand: x = 12x + 11112 + 26", "Combine constants: x = 12x + 11138", "Subtract 12x from both sides: -11x = 11138", "Divide both sides by -11: x = -11138/11"], "final_answer": "-11138/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 12(x + 926) + 26", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 926, \"c\": 26}", "seed": "11417694019044760940", "semantic_fingerprint": "sha256:6091b3d26111db3bb073d8dc099767831d9bf8dbc9279bcfc6c402197ea1ddb0", "generator_version": "3.0"}
{"id": "v3_test_id_00002943", "prompt": "Compute: -937 * 66 - (-5) * (-29)", "solution_steps": ["Multiply: -937 * 66 = -61842", "Multiply: -5 * (-29) = 145", "Subtract: -61842 - 145 = -61987"], "final_answer": "-61987", "answer_type": "integer", "kind": "expression", "math_text": "-937 * 66 - (-5) * (-29)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -937, \"b\": 66, \"c\": -5, \"d\": -29}", "seed": "11612880474705788004", "semantic_fingerprint": "sha256:dd9e9e6ec948ee07155dd88425235834532e3dfea5da1b4cab35389718692f27", "generator_version": "3.0"}
{"id": "v3_test_id_00002944", "prompt": "Calculate: -639 - (-8) - 131", "solution_steps": ["Subtract: -639 - (-8) = -631", "Subtract: -631 - 131 = -762"], "final_answer": "-762", "answer_type": "integer", "kind": "expression", "math_text": "-639 - (-8) - 131", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -639, \"b\": -8, \"c\": 131}", "seed": "12670679945632608163", "semantic_fingerprint": "sha256:bbf65a90e1b23d707e7a6bce35eebabeefb3b92f4a818470d6a4b22d4581850f", "generator_version": "3.0"}
{"id": "v3_test_id_00002945", "prompt": "Solve for x: -2(x + 9) - 23 = -10(x + 7)", "solution_steps": ["Expand: -2x - 18 - 23 = -10(x + 7)", "Expand: -2x - 18 - 23 = -10x - 70", "Combine constants: -2x - 41 = -10x - 70", "Add 10x to both sides: 8x - 41 = -70", "Add 41 to both sides: 8x = -29", "Divide both sides by 8: x = -29/8"], "final_answer": "-29/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x + 9) - 23 = -10(x + 7)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 9, \"c\": 23, \"d\": -10, \"e\": 7}", "seed": "11645969697156359652", "semantic_fingerprint": "sha256:89dee09aaa98acf78c1fae4889e037c38c813c022069ac1ee8624ac0e3439e84", "generator_version": "3.0"}
{"id": "v3_test_id_00002946", "prompt": "Compute: -5 * 92 * 31 - (-1)", "solution_steps": ["Multiply: -5 * 92 = -460", "Multiply: -460 * 31 = -14260", "Subtract: -14260 - (-1) = -14259"], "final_answer": "-14259", "answer_type": "integer", "kind": "expression", "math_text": "-5 * 92 * 31 - (-1)", "variable": null, "family": "expression_3op", "shape": "(- (* (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 92, \"c\": 31, \"d\": -1}", "seed": "410179412735182322", "semantic_fingerprint": "sha256:2cea1aaadf980bd5a1016f4993b64fc05b7d103759e96b16f5e719469ab054b3", "generator_version": "3.0"}
{"id": "v3_test_id_00002947", "prompt": "Calculate: -79 - (-27 - (6 - (8 + 366) + (-192)))", "solution_steps": ["Add: 8 + 366 = 374", "Subtract: 6 - 374 = -368", "Add: -368 + (-192) = -560", "Subtract: -27 - (-560) = 533", "Subtract: -79 - 533 = -612"], "final_answer": "-612", "answer_type": "integer", "kind": "expression", "math_text": "-79 - (-27 - (6 - (8 + 366) + (-192)))", "variable": null, "family": "expression_5op", "shape": "(- n (- n (+ (- n (+ n n)) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": -27, \"c\": 6, \"d\": 8, \"e\": 366, \"f\": -192}", "seed": "6494434517504271217", "semantic_fingerprint": "sha256:f3145647d1388c6a9819b5120bf81a216bef9c78c27969bd51427cc9a0fd884b", "generator_version": "3.0"}
{"id": "v3_test_id_00002948", "prompt": "Compute: -44 / (-72) - (-8) * (-2)", "solution_steps": ["Divide: -44 / (-72) = 11/18", "Multiply: -8 * (-2) = 16", "Subtract: 11/18 - 16 = -277/18"], "final_answer": "-277/18", "answer_type": "rational", "kind": "expression", "math_text": "-44 / (-72) - (-8) * (-2)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -72, \"c\": -8, \"d\": -2}", "seed": "12690238996879140668", "semantic_fingerprint": "sha256:c76897233eb45182be79817b978a67d62e7bd7624dbf88b5835b6d167b7c9364", "generator_version": "3.0"}
{"id": "v3_test_id_00002949", "prompt": "Calculate: 291 * (-87 / (-115))", "solution_steps": ["Divide: -87 / (-115) = 87/115", "Multiply: 291 * (87/115) = 25317/115"], "final_answer": "25317/115", "answer_type": "rational", "kind": "expression", "math_text": "291 * (-87 / (-115))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 291, \"b\": -87, \"c\": -115}", "seed": "15239586413555600039", "semantic_fingerprint": "sha256:f4e5dbcdb2bbb56134dee2323b68212cc10358f47027704ed91e6554832ec29b", "generator_version": "3.0"}
{"id": "v3_test_id_00002950", "prompt": "What is -493 * 54 / (138 * 93)?", "solution_steps": ["Multiply: -493 * 54 = -26622", "Multiply: 138 * 93 = 12834", "Divide: -26622 / 12834 = -1479/713"], "final_answer": "-1479/713", "answer_type": "rational", "kind": "expression", "math_text": "-493 * 54 / (138 * 93)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -493, \"b\": 54, \"c\": 138, \"d\": 93}", "seed": "12696539144876716416", "semantic_fingerprint": "sha256:5200f8b7b404826ce66bcd8f0a9d49d3732725e2a2eccfa659b56738fda75db0", "generator_version": "3.0"}
{"id": "v3_test_id_00002951", "prompt": "What is -75 / (899 / (-41 + 23))?", "solution_steps": ["Add: -41 + 23 = -18", "Divide: 899 / (-18) = -899/18", "Divide: -75 / (-899/18) = 1350/899"], "final_answer": "1350/899", "answer_type": "rational", "kind": "expression", "math_text": "-75 / (899 / (-41 + 23))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": 899, \"c\": -41, \"d\": 23}", "seed": "5621365915041370819", "semantic_fingerprint": "sha256:49af0d854e2cd977544dcc577c63aabf154b83da2213318840c8ea30f4b17a94", "generator_version": "3.0"}
{"id": "v3_test_id_00002952", "prompt": "Evaluate: -685 / (3 * (-6))", "solution_steps": ["Multiply: 3 * (-6) = -18", "Divide: -685 / (-18) = 685/18"], "final_answer": "685/18", "answer_type": "rational", "kind": "expression", "math_text": "-685 / (3 * (-6))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -685, \"b\": 3, \"c\": -6}", "seed": "5436333223990338013", "semantic_fingerprint": "sha256:934fceec9969734ba9035bad8ff7ba29454af5d30d06bcc129739acc181ca637", "generator_version": "3.0"}
{"id": "v3_test_id_00002953", "prompt": "Solve the equation -5x = 12(x - 47) + 52 for x.", "solution_steps": ["Expand: -5x = 12x - 564 + 52", "Combine constants: -5x = 12x - 512", "Subtract 12x from both sides: -17x = -512", "Divide both sides by -17: x = 512/17"], "final_answer": "512/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5x = 12(x - 47) + 52", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 12, \"c\": 47, \"d\": 52}", "seed": "12174639241766638651", "semantic_fingerprint": "sha256:309471e71098ba67b8b0a973916f26511eacc2a1b5cf69ea86610dfd4a17703f", "generator_version": "3.0"}
{"id": "v3_test_id_00002954", "prompt": "Solve for x: 10x - 22 = x + 5", "solution_steps": ["Subtract x from both sides: 9x - 22 = 5", "Add 22 to both sides: 9x = 27", "Divide both sides by 9: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 22 = x + 5", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 22, \"d\": 5, \"x\": 3}", "seed": "3858807986586666053", "semantic_fingerprint": "sha256:ce7782919268e3af67632ca47824389e8a61d8121710760135febb40adcb9f23", "generator_version": "3.0"}
{"id": "v3_test_id_00002955", "prompt": "Evaluate: 21 + 2", "solution_steps": ["Add: 21 + 2 = 23"], "final_answer": "23", "answer_type": "integer", "kind": "expression", "math_text": "21 + 2", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": 2}", "seed": "12205426957251272299", "semantic_fingerprint": "sha256:4a12f6f878f76b911454a881c5668920aa35c7cff61535a4948dd8c759fbe83c", "generator_version": "3.0"}
{"id": "v3_test_id_00002956", "prompt": "What value of x satisfies -11x + 180 = 6(x - 4)?", "solution_steps": ["Expand: -11x + 180 = 6x - 24", "Subtract 6x from both sides: -17x + 180 = -24", "Subtract 180 from both sides: -17x = -204", "Divide both sides by -17: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x + 180 = 6(x - 4)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 6, \"c\": 4, \"e\": 180, \"x\": 12}", "seed": "16674317527668405989", "semantic_fingerprint": "sha256:acae7561035493e72bbcf09e4f1378f3eb5c6fc89ae4a699c82c60fb632bfafa", "generator_version": "3.0"}
{"id": "v3_test_id_00002957", "prompt": "Find x: 4(x - 5) - 18 = -30", "solution_steps": ["Expand: 4x - 20 - 18 = -30", "Combine constants: 4x - 38 = -30", "Add 38 to both sides: 4x = 8", "Divide both sides by 4: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 5) - 18 = -30", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": 18, \"e\": -30, \"x\": 2}", "seed": "16485758764753714305", "semantic_fingerprint": "sha256:ae49b052cb4969b5ddfa563ca5d2d56168bca932b4c5bf4ae49d32af0991a30b", "generator_version": "3.0"}
{"id": "v3_test_id_00002958", "prompt": "Solve the equation 2x + 46 = -11(x + 9) - 3 for x.", "solution_steps": ["Expand: 2x + 46 = -11x - 99 - 3", "Combine constants: 2x + 46 = -11x - 102", "Add 11x to both sides: 13x + 46 = -102", "Subtract 46 from both sides: 13x = -148", "Divide both sides by 13: x = -148/13"], "final_answer": "-148/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x + 46 = -11(x + 9) - 3", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 46, \"c\": -11, \"d\": 9, \"e\": 3}", "seed": "2733022149014086927", "semantic_fingerprint": "sha256:9f69eeadedc4805731ead5631071b90a103b63fcad550f3a73929fd80696aef0", "generator_version": "3.0"}
{"id": "v3_test_id_00002959", "prompt": "What is 6 + (-32) - (-736) / (-9) * (-9) + (-41)?", "solution_steps": ["Add: 6 + (-32) = -26", "Divide: -736 / (-9) = 736/9", "Multiply: (736/9) * (-9) = -736", "Subtract: -26 - (-736) = 710", "Add: 710 + (-41) = 669"], "final_answer": "669", "answer_type": "integer", "kind": "expression", "math_text": "6 + (-32) - (-736) / (-9) * (-9) + (-41)", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ n n) (* (/ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -32, \"c\": -736, \"d\": -9, \"e\": -9, \"f\": -41}", "seed": "1487545884262353103", "semantic_fingerprint": "sha256:28f27661f535fcd8a83c32619f7129a4f845f052a1ddd13df4cc2da9cd1a957b", "generator_version": "3.0"}
{"id": "v3_test_id_00002960", "prompt": "Find x: 11(x + 83) - 6 = 973", "solution_steps": ["Expand: 11x + 913 - 6 = 973", "Combine constants: 11x + 907 = 973", "Subtract 907 from both sides: 11x = 66", "Divide both sides by 11: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 83) - 6 = 973", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 83, \"c\": 6, \"e\": 973, \"x\": 6}", "seed": "9320857911427320841", "semantic_fingerprint": "sha256:a1ce4a9d9c711a94ee3ebcd9abcfa3feca872b88ad250d44a19182814e2fee8e", "generator_version": "3.0"}
{"id": "v3_test_id_00002961", "prompt": "What value of x satisfies -4x - 5 = x?", "solution_steps": ["Subtract x from both sides: -5x - 5 = 0", "Add 5 to both sides: -5x = 5", "Divide both sides by -5: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x - 5 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"c\": -5, \"x\": -1}", "seed": "9919722537559442015", "semantic_fingerprint": "sha256:3736e07d638459acae0af01560b1a3316ec6d6f7497cea5cbc9bbdbc76017454", "generator_version": "3.0"}
{"id": "v3_test_id_00002962", "prompt": "What value of x satisfies 3(x - 37) = 9(x + 64)?", "solution_steps": ["Expand: 3x - 111 = 9(x + 64)", "Expand: 3x - 111 = 9x + 576", "Subtract 9x from both sides: -6x - 111 = 576", "Add 111 to both sides: -6x = 687", "Divide both sides by -6: x = -229/2"], "final_answer": "-229/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 37) = 9(x + 64)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 37, \"c\": 9, \"d\": 64}", "seed": "10584865258921678991", "semantic_fingerprint": "sha256:9ddf99dfd2d717fe71b2bc32863ff8dddc9ad652937cb6f173fda950c44ad324", "generator_version": "3.0"}
{"id": "v3_test_id_00002963", "prompt": "Compute: (8 - (-37 * 6 + (-912))) / (-57)", "solution_steps": ["Multiply: -37 * 6 = -222", "Add: -222 + (-912) = -1134", "Subtract: 8 - (-1134) = 1142", "Divide: 1142 / (-57) = -1142/57"], "final_answer": "-1142/57", "answer_type": "rational", "kind": "expression", "math_text": "(8 - (-37 * 6 + (-912))) / (-57)", "variable": null, "family": "expression_4op", "shape": "(/ (- n (+ (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -37, \"c\": 6, \"d\": -912, \"e\": -57}", "seed": "8256055746917646943", "semantic_fingerprint": "sha256:9acb658bb55b6983f517bb0626910b53f2adeb09699e1da5a3a712fd3fc82639", "generator_version": "3.0"}
{"id": "v3_test_id_00002964", "prompt": "Solve the equation -8x + 770 = 634 for x.", "solution_steps": ["Subtract 770 from both sides: -8x = -136", "Divide both sides by -8: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x + 770 = 634", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 770, \"d\": 634, \"x\": 17}", "seed": "12318119021170020178", "semantic_fingerprint": "sha256:a27a171fecbb2a410529db4885f86086a9d7e78f3e4d42c851efe8d51609f543", "generator_version": "3.0"}
{"id": "v3_test_id_00002965", "prompt": "Solve the equation x + 374 = 5x for x.", "solution_steps": ["Subtract 5x from both sides: -4x + 374 = 0", "Subtract 374 from both sides: -4x = -374", "Divide both sides by -4: x = 187/2"], "final_answer": "187/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 374 = 5x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 374, \"b\": 5}", "seed": "17245515448958744158", "semantic_fingerprint": "sha256:6fc202d31817426f5fc194c38cd6ea4ccdfdfdf226462263d870857624b2c2ce", "generator_version": "3.0"}
{"id": "v3_test_id_00002966", "prompt": "What is -439 - 4 + (-2) * 16?", "solution_steps": ["Subtract: -439 - 4 = -443", "Multiply: -2 * 16 = -32", "Add: -443 + (-32) = -475"], "final_answer": "-475", "answer_type": "integer", "kind": "expression", "math_text": "-439 - 4 + (-2) * 16", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -439, \"b\": 4, \"c\": -2, \"d\": 16}", "seed": "12077066521495611245", "semantic_fingerprint": "sha256:d0ba57b8a18682ba62aa38da42acca935b012bf5621d571a99955b27599e5164", "generator_version": "3.0"}
{"id": "v3_test_id_00002967", "prompt": "Solve the equation x = 5(x + 69) - 373 for x.", "solution_steps": ["Expand: x = 5x + 345 - 373", "Combine constants: x = 5x - 28", "Subtract 5x from both sides: -4x = -28", "Divide both sides by -4: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 5(x + 69) - 373", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 69, \"d\": -373, \"x\": 7}", "seed": "4886685652478459876", "semantic_fingerprint": "sha256:f092c8772356d5b530196f7ddfeb071650ab2d051a18e572bf1a0fdc4bdb1794", "generator_version": "3.0"}
{"id": "v3_test_id_00002968", "prompt": "Evaluate: -1 * 10 / 17", "solution_steps": ["Multiply: -1 * 10 = -10", "Divide: -10 / 17 = -10/17"], "final_answer": "-10/17", "answer_type": "rational", "kind": "expression", "math_text": "-1 * 10 / 17", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 10, \"c\": 17}", "seed": "12513154159441546115", "semantic_fingerprint": "sha256:ff225beeaa48b58881ba2b23a0812a5ea596eb3d17b9169a09aa55e941976a9b", "generator_version": "3.0"}
{"id": "v3_test_id_00002969", "prompt": "Calculate: 0 * (-5) + 65 / (61 + (-830))", "solution_steps": ["Multiply: 0 * (-5) = 0", "Add: 61 + (-830) = -769", "Divide: 65 / (-769) = -65/769", "Add: 0 + (-65/769) = -65/769"], "final_answer": "-65/769", "answer_type": "rational", "kind": "expression", "math_text": "0 * (-5) + 65 / (61 + (-830))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -5, \"c\": 65, \"d\": 61, \"e\": -830}", "seed": "17755204199993200954", "semantic_fingerprint": "sha256:0e858186d681d2999028052c80c3f7b9d0f460024d3d89c8e49bbbda9acd8275", "generator_version": "3.0"}
{"id": "v3_test_id_00002970", "prompt": "Evaluate: 98 * 34 + (-273 - (-86 - (-18) - (-25)))", "solution_steps": ["Multiply: 98 * 34 = 3332", "Subtract: -86 - (-18) = -68", "Subtract: -68 - (-25) = -43", "Subtract: -273 - (-43) = -230", "Add: 3332 + (-230) = 3102"], "final_answer": "3102", "answer_type": "integer", "kind": "expression", "math_text": "98 * 34 + (-273 - (-86 - (-18) - (-25)))", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (- n (- (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": 34, \"c\": -273, \"d\": -86, \"e\": -18, \"f\": -25}", "seed": "16862098913538889971", "semantic_fingerprint": "sha256:9637c0576573e658d58c8a8d19b278e2bda5f2b79921d146b8b1e417166841f2", "generator_version": "3.0"}
{"id": "v3_test_id_00002971", "prompt": "Solve the equation x + 9 = 8(x + 94) + 9 for x.", "solution_steps": ["Expand: x + 9 = 8x + 752 + 9", "Combine constants: x + 9 = 8x + 761", "Subtract 8x from both sides: -7x + 9 = 761", "Subtract 9 from both sides: -7x = 752", "Divide both sides by -7: x = -752/7"], "final_answer": "-752/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 9 = 8(x + 94) + 9", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": 94, \"d\": 9}", "seed": "3530829627010656073", "semantic_fingerprint": "sha256:e20fc949aee964380c50852bb88d7b0cd1cad0235c19cf3e5a6f9450f87b6fc1", "generator_version": "3.0"}
{"id": "v3_test_id_00002972", "prompt": "Solve the equation x = 5(x + 1) for x.", "solution_steps": ["Expand: x = 5x + 5", "Subtract 5x from both sides: -4x = 5", "Divide both sides by -4: x = -5/4"], "final_answer": "-5/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 5(x + 1)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 1}", "seed": "6193142256864900533", "semantic_fingerprint": "sha256:6c0cebc4a0605d55790f00fd81896e8f6754632b85e8279528c74d87095e2fda", "generator_version": "3.0"}
{"id": "v3_test_id_00002973", "prompt": "Find x: 2(x - 17) + 558 = 3(x + 77) + 284", "solution_steps": ["Expand: 2x - 34 + 558 = 3(x + 77) + 284", "Expand: 2x - 34 + 558 = 3x + 231 + 284", "Combine constants: 2x + 524 = 3x + 231 + 284", "Combine constants: 2x + 524 = 3x + 515", "Subtract 3x from both sides: -x + 524 = 515", "Subtract 524 from both sides: -x = -9", "Divide both sides by -1: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 17) + 558 = 3(x + 77) + 284", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 17, \"c\": 558, \"d\": 3, \"e\": 77, \"g\": 284, \"x\": 9}", "seed": "2244975910444486437", "semantic_fingerprint": "sha256:d1509e0af4b92ded470c6e54c39ea12489b7ed993d560be6abe1ef0a6d568dd5", "generator_version": "3.0"}
{"id": "v3_test_id_00002974", "prompt": "Calculate: (13 + (-2)) / (-2)", "solution_steps": ["Add: 13 + (-2) = 11", "Divide: 11 / (-2) = -11/2"], "final_answer": "-11/2", "answer_type": "rational", "kind": "expression", "math_text": "(13 + (-2)) / (-2)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": -2, \"c\": -2}", "seed": "4264819296877155382", "semantic_fingerprint": "sha256:0bbccef4f5a4e03fb2a3d704147a96e7f79d76e1937630402a324812566cde6f", "generator_version": "3.0"}
{"id": "v3_test_id_00002975", "prompt": "Find x: 2x - 618 = -10(x + 3)", "solution_steps": ["Expand: 2x - 618 = -10x - 30", "Add 10x to both sides: 12x - 618 = -30", "Add 618 to both sides: 12x = 588", "Divide both sides by 12: x = 49"], "final_answer": "49", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 618 = -10(x + 3)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 618, \"c\": -10, \"d\": 3}", "seed": "11505318101264957061", "semantic_fingerprint": "sha256:3d19bc2e74fc4860cac1db76b08e1d706f2fc11805ccf0b3832c8c72d565cdb9", "generator_version": "3.0"}
{"id": "v3_test_id_00002976", "prompt": "Solve for x: 11x - 10 = 9x", "solution_steps": ["Subtract 9x from both sides: 2x - 10 = 0", "Add 10 to both sides: 2x = 10", "Divide both sides by 2: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 10 = 9x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 9, \"d\": -10, \"x\": 5}", "seed": "14982903217121102496", "semantic_fingerprint": "sha256:94aa83ec0239633b986ebe8d65e9eab8215ba680e173aaab0766dc5e9a09c432", "generator_version": "3.0"}
{"id": "v3_test_id_00002977", "prompt": "Evaluate: -40 * (0 / (-652) * (-5) + 359)", "solution_steps": ["Divide: 0 / (-652) = 0", "Multiply: 0 * (-5) = 0", "Add: 0 + 359 = 359", "Multiply: -40 * 359 = -14360"], "final_answer": "-14360", "answer_type": "integer", "kind": "expression", "math_text": "-40 * (0 / (-652) * (-5) + 359)", "variable": null, "family": "expression_4op", "shape": "(* n (+ (* (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": 0, \"c\": -652, \"d\": -5, \"e\": 359}", "seed": "5124992110759594741", "semantic_fingerprint": "sha256:d20891954772f055a4f29e311feb93ae913a5a6700f3757ff7c1e51d18af038d", "generator_version": "3.0"}
{"id": "v3_test_id_00002978", "prompt": "Compute: 942 / (36 * 30 * (-681) / 60)", "solution_steps": ["Multiply: 36 * 30 = 1080", "Multiply: 1080 * (-681) = -735480", "Divide: -735480 / 60 = -12258", "Divide: 942 / (-12258) = -157/2043"], "final_answer": "-157/2043", "answer_type": "rational", "kind": "expression", "math_text": "942 / (36 * 30 * (-681) / 60)", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (* (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 942, \"b\": 36, \"c\": 30, \"d\": -681, \"e\": 60}", "seed": "1615294625380917790", "semantic_fingerprint": "sha256:338800be55d9e468d6ca498af7ed8eeb3cdc6773dfec4b9e036c89b9a5b4d81d", "generator_version": "3.0"}
{"id": "v3_test_id_00002979", "prompt": "Evaluate: 4 * (0 * 6)", "solution_steps": ["Multiply: 0 * 6 = 0", "Multiply: 4 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "4 * (0 * 6)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 0, \"c\": 6}", "seed": "14507554196534222226", "semantic_fingerprint": "sha256:8d3642776a282813c55bebd712513c1751040603ee28bb3735bb9a789bffb218", "generator_version": "3.0"}
{"id": "v3_test_id_00002980", "prompt": "Solve for x: -9x + 452 = 9(x + 13) - 795", "solution_steps": ["Expand: -9x + 452 = 9x + 117 - 795", "Combine constants: -9x + 452 = 9x - 678", "Subtract 9x from both sides: -18x + 452 = -678", "Subtract 452 from both sides: -18x = -1130", "Divide both sides by -18: x = 565/9"], "final_answer": "565/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9x + 452 = 9(x + 13) - 795", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 452, \"c\": 9, \"d\": 13, \"e\": 795}", "seed": "1426842792057565633", "semantic_fingerprint": "sha256:88b8113d3d49172dcc9b5062c013319a0020c697bee31f9d8e779dc063671393", "generator_version": "3.0"}
{"id": "v3_test_id_00002981", "prompt": "What is 21 + (-13 - 23) * 2 * 85?", "solution_steps": ["Subtract: -13 - 23 = -36", "Multiply: -36 * 2 = -72", "Multiply: -72 * 85 = -6120", "Add: 21 + (-6120) = -6099"], "final_answer": "-6099", "answer_type": "integer", "kind": "expression", "math_text": "21 + (-13 - 23) * 2 * 85", "variable": null, "family": "expression_4op", "shape": "(+ n (* (* (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": -13, \"c\": 23, \"d\": 2, \"e\": 85}", "seed": "14703539614640157095", "semantic_fingerprint": "sha256:e8b6718b021ccc416c67b39719cdfca0a1daaee1efba55ef47aed5fd98fa0311", "generator_version": "3.0"}
{"id": "v3_test_id_00002982", "prompt": "Solve for x: 8x + 39 = -2", "solution_steps": ["Subtract 39 from both sides: 8x = -41", "Divide both sides by 8: x = -41/8"], "final_answer": "-41/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x + 39 = -2", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 39, \"c\": -2}", "seed": "15070238227693978326", "semantic_fingerprint": "sha256:3aba1e446f252882b276391606150d9882c2a466124d64308e3e47802b1ed141", "generator_version": "3.0"}
{"id": "v3_test_id_00002983", "prompt": "Find x: 12(x + 6) - 9 = -9x", "solution_steps": ["Expand: 12x + 72 - 9 = -9x", "Combine constants: 12x + 63 = -9x", "Add 9x to both sides: 21x + 63 = 0", "Subtract 63 from both sides: 21x = -63", "Divide both sides by 21: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 6) - 9 = -9x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 6, \"c\": 9, \"d\": -9}", "seed": "9602649372166685100", "semantic_fingerprint": "sha256:86500c724c076c5d793b6a2809c0559dc271a4ff9636399d43977a4507273a25", "generator_version": "3.0"}
{"id": "v3_test_id_00002984", "prompt": "What value of x satisfies 4(x - 82) + 312 = 2x?", "solution_steps": ["Expand: 4x - 328 + 312 = 2x", "Combine constants: 4x - 16 = 2x", "Subtract 2x from both sides: 2x - 16 = 0", "Add 16 to both sides: 2x = 16", "Divide both sides by 2: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 82) + 312 = 2x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 82, \"c\": 2, \"e\": 312, \"x\": 8}", "seed": "3344225565436454533", "semantic_fingerprint": "sha256:23d0aacf6c1ad6e1bd1260e79fc74b4bd96acc0db7eb845809fa9ae110a7f0b4", "generator_version": "3.0"}
{"id": "v3_test_id_00002985", "prompt": "Evaluate: -10 * (-28 + (-70))", "solution_steps": ["Add: -28 + (-70) = -98", "Multiply: -10 * (-98) = 980"], "final_answer": "980", "answer_type": "integer", "kind": "expression", "math_text": "-10 * (-28 + (-70))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": -28, \"c\": -70}", "seed": "15403129062398749254", "semantic_fingerprint": "sha256:c4255615549da8a313ba06551d91859bddd463dfc48968d75648aabadfaa3a01", "generator_version": "3.0"}
{"id": "v3_test_id_00002986", "prompt": "Evaluate: 508 - 2", "solution_steps": ["Subtract: 508 - 2 = 506"], "final_answer": "506", "answer_type": "integer", "kind": "expression", "math_text": "508 - 2", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 508, \"b\": 2}", "seed": "4835281596854681254", "semantic_fingerprint": "sha256:3be8dd1423511de0da47f17d19855a201d6a7eb55bf6240b567a61836ebe3fb8", "generator_version": "3.0"}
{"id": "v3_test_id_00002987", "prompt": "Evaluate: 2 / 94", "solution_steps": ["Divide: 2 / 94 = 1/47"], "final_answer": "1/47", "answer_type": "rational", "kind": "expression", "math_text": "2 / 94", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 94}", "seed": "8652274661824132676", "semantic_fingerprint": "sha256:0684834ca2247b89638cebdf8c7d4d46dcd6c4cda8b398049f533c28baa7a2b2", "generator_version": "3.0"}
{"id": "v3_test_id_00002988", "prompt": "Calculate: 99 - (-32 + (-335))", "solution_steps": ["Add: -32 + (-335) = -367", "Subtract: 99 - (-367) = 466"], "final_answer": "466", "answer_type": "integer", "kind": "expression", "math_text": "99 - (-32 + (-335))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": -32, \"c\": -335}", "seed": "17046651017103255397", "semantic_fingerprint": "sha256:54816a866594e31dc2a411056442960eb3a883c264ff22b62b791e8ad267fa6a", "generator_version": "3.0"}
{"id": "v3_test_id_00002989", "prompt": "Compute: 594 + 2 + 17 * (-96)", "solution_steps": ["Add: 594 + 2 = 596", "Multiply: 17 * (-96) = -1632", "Add: 596 + (-1632) = -1036"], "final_answer": "-1036", "answer_type": "integer", "kind": "expression", "math_text": "594 + 2 + 17 * (-96)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 594, \"b\": 2, \"c\": 17, \"d\": -96}", "seed": "10673975821940986702", "semantic_fingerprint": "sha256:0d32b151694371a6dff9e709a28885823d85b1637f8d7d26115798c88f42d11c", "generator_version": "3.0"}
{"id": "v3_test_id_00002990", "prompt": "What value of x satisfies 2(x + 8) = 9(x - 87)?", "solution_steps": ["Expand: 2x + 16 = 9(x - 87)", "Expand: 2x + 16 = 9x - 783", "Subtract 9x from both sides: -7x + 16 = -783", "Subtract 16 from both sides: -7x = -799", "Divide both sides by -7: x = 799/7"], "final_answer": "799/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 8) = 9(x - 87)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 9, \"d\": 87}", "seed": "2920415251976479195", "semantic_fingerprint": "sha256:e4ba4a6983cb11d5d1989f8f255195769ec09ece66017d31bef71aba97782fd4", "generator_version": "3.0"}
{"id": "v3_test_id_00002991", "prompt": "Compute: -15 - 9 * (-5 * 46)", "solution_steps": ["Multiply: -5 * 46 = -230", "Multiply: 9 * (-230) = -2070", "Subtract: -15 - (-2070) = 2055"], "final_answer": "2055", "answer_type": "integer", "kind": "expression", "math_text": "-15 - 9 * (-5 * 46)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": 9, \"c\": -5, \"d\": 46}", "seed": "5067814244796285440", "semantic_fingerprint": "sha256:7c6e15c66d92a6ad779f266a1b32c5c53ecd429b1a1b29ab3551e809753e0059", "generator_version": "3.0"}
{"id": "v3_test_id_00002992", "prompt": "Solve the equation x = 7(x + 21) - 171 for x.", "solution_steps": ["Expand: x = 7x + 147 - 171", "Combine constants: x = 7x - 24", "Subtract 7x from both sides: -6x = -24", "Divide both sides by -6: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 7(x + 21) - 171", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 21, \"d\": -171, \"x\": 4}", "seed": "15699755179892194516", "semantic_fingerprint": "sha256:ef811c6843818a96c004c4a73310e3f769345fbcea119c0d412f068407bf590c", "generator_version": "3.0"}
{"id": "v3_test_id_00002993", "prompt": "Calculate: -211 - (-858) * 788", "solution_steps": ["Multiply: -858 * 788 = -676104", "Subtract: -211 - (-676104) = 675893"], "final_answer": "675893", "answer_type": "integer", "kind": "expression", "math_text": "-211 - (-858) * 788", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -211, \"b\": -858, \"c\": 788}", "seed": "10200437172599117704", "semantic_fingerprint": "sha256:c276eaddd1f36b5d825003d96beed8365cf9f7559b4953018355bce9fe650450", "generator_version": "3.0"}
{"id": "v3_test_id_00002994", "prompt": "What value of x satisfies -4x = -5x - 12?", "solution_steps": ["Add 5x to both sides: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x = -5x - 12", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -5, \"d\": -12, \"x\": -12}", "seed": "11760694228773024158", "semantic_fingerprint": "sha256:86fe810d8eeddecb12b96ccd0d42b9f16ca39e87b17bca3b23508deb6ccdc86b", "generator_version": "3.0"}
{"id": "v3_test_id_00002995", "prompt": "Calculate: -9 - (-4 - 66)", "solution_steps": ["Subtract: -4 - 66 = -70", "Subtract: -9 - (-70) = 61"], "final_answer": "61", "answer_type": "integer", "kind": "expression", "math_text": "-9 - (-4 - 66)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -4, \"c\": 66}", "seed": "12897388926695512756", "semantic_fingerprint": "sha256:1ed1376f2d118e6602e38994194883f59119f2f216e9c4505212d08cc5587eec", "generator_version": "3.0"}
{"id": "v3_test_id_00002996", "prompt": "What is -84 * (6 - 61)?", "solution_steps": ["Subtract: 6 - 61 = -55", "Multiply: -84 * (-55) = 4620"], "final_answer": "4620", "answer_type": "integer", "kind": "expression", "math_text": "-84 * (6 - 61)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": 6, \"c\": 61}", "seed": "7032017176933117374", "semantic_fingerprint": "sha256:72de208fde0ac1157359c841acbe1d068445853937d8d87aa6099f9040c8a291", "generator_version": "3.0"}
{"id": "v3_test_id_00002997", "prompt": "Evaluate: 906 * 4", "solution_steps": ["Multiply: 906 * 4 = 3624"], "final_answer": "3624", "answer_type": "integer", "kind": "expression", "math_text": "906 * 4", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 906, \"b\": 4}", "seed": "18429889286070659622", "semantic_fingerprint": "sha256:1ecb4017f0e476e0562a56df8dbbdf82dcdd3b892d237bd74249b4d0424f5420", "generator_version": "3.0"}
{"id": "v3_test_id_00002998", "prompt": "Compute: -48 / (-112 + (-982)) - (-89)", "solution_steps": ["Add: -112 + (-982) = -1094", "Divide: -48 / (-1094) = 24/547", "Subtract: 24/547 - (-89) = 48707/547"], "final_answer": "48707/547", "answer_type": "rational", "kind": "expression", "math_text": "-48 / (-112 + (-982)) - (-89)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": -112, \"c\": -982, \"d\": -89}", "seed": "14318742228486167595", "semantic_fingerprint": "sha256:5a61c90adf909fce8099ed92451c04da40b6d2d72fae91b640b2b769b60cc56a", "generator_version": "3.0"}
{"id": "v3_test_id_00002999", "prompt": "Calculate: 53 / 865 * (3 / (-7 / 9) - 61)", "solution_steps": ["Divide: 53 / 865 = 53/865", "Divide: -7 / 9 = -7/9", "Divide: 3 / (-7/9) = -27/7", "Subtract: -27/7 - 61 = -454/7", "Multiply: (53/865) * (-454/7) = -24062/6055"], "final_answer": "-24062/6055", "answer_type": "rational", "kind": "expression", "math_text": "53 / 865 * (3 / (-7 / 9) - 61)", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (- (/ n (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": 865, \"c\": 3, \"d\": -7, \"e\": 9, \"f\": 61}", "seed": "7668341021411216099", "semantic_fingerprint": "sha256:ead4e97c1fb1c3d36cfe7f0dab568e5b6ada6ce04dc62dcd7ed50d216542e9f4", "generator_version": "3.0"}
{"id": "v3_test_id_00003000", "prompt": "What value of x satisfies -8x = 10x - 9?", "solution_steps": ["Subtract 10x from both sides: -18x = -9", "Divide both sides by -18: x = 1/2"], "final_answer": "1/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8x = 10x - 9", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 10, \"c\": 9}", "seed": "17063811500509372355", "semantic_fingerprint": "sha256:a0acb2e96af2e858b7993a1a791960b8500f683894c2c43bcf00c21dcf6d2ebd", "generator_version": "3.0"}
{"id": "v3_test_id_00003001", "prompt": "Compute: -81 + (-7) * 36", "solution_steps": ["Multiply: -7 * 36 = -252", "Add: -81 + (-252) = -333"], "final_answer": "-333", "answer_type": "integer", "kind": "expression", "math_text": "-81 + (-7) * 36", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": -7, \"c\": 36}", "seed": "14947007148755241253", "semantic_fingerprint": "sha256:0ff02219a959750f601c5cf4043a197bbe4bfcd46c246d53545343aa2ec2f352", "generator_version": "3.0"}
{"id": "v3_test_id_00003002", "prompt": "Evaluate: -83 - (3 + (-25))", "solution_steps": ["Add: 3 + (-25) = -22", "Subtract: -83 - (-22) = -61"], "final_answer": "-61", "answer_type": "integer", "kind": "expression", "math_text": "-83 - (3 + (-25))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": 3, \"c\": -25}", "seed": "4913125936030437782", "semantic_fingerprint": "sha256:51035bb14601865562a97f5f90bf1d305788da0a3be3502a9835d490b77710a4", "generator_version": "3.0"}
{"id": "v3_test_id_00003003", "prompt": "What is -14 - (8 * (-3) - (-2))?", "solution_steps": ["Multiply: 8 * (-3) = -24", "Subtract: -24 - (-2) = -22", "Subtract: -14 - (-22) = 8"], "final_answer": "8", "answer_type": "integer", "kind": "expression", "math_text": "-14 - (8 * (-3) - (-2))", "variable": null, "family": "expression_3op", "shape": "(- n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -14, \"b\": 8, \"c\": -3, \"d\": -2}", "seed": "14989410685545522399", "semantic_fingerprint": "sha256:e2df329e392e21c110b8a4d906fe1e367edcd46f8e2ca94b80d153c1ee8ab08d", "generator_version": "3.0"}
{"id": "v3_test_id_00003004", "prompt": "Calculate: (-41 - (-57)) * 70 * (22 - (-27))", "solution_steps": ["Subtract: -41 - (-57) = 16", "Multiply: 16 * 70 = 1120", "Subtract: 22 - (-27) = 49", "Multiply: 1120 * 49 = 54880"], "final_answer": "54880", "answer_type": "integer", "kind": "expression", "math_text": "(-41 - (-57)) * 70 * (22 - (-27))", "variable": null, "family": "expression_4op", "shape": "(* (* (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": -57, \"c\": 70, \"d\": 22, \"e\": -27}", "seed": "4289591311254751848", "semantic_fingerprint": "sha256:7757782564b2edb2d978516f450af286f69e66dcc9baf8a6b7f9aa183d54f754", "generator_version": "3.0"}
{"id": "v3_test_id_00003005", "prompt": "Find x: x + 56 = 5(x - 861)", "solution_steps": ["Expand: x + 56 = 5x - 4305", "Subtract 5x from both sides: -4x + 56 = -4305", "Subtract 56 from both sides: -4x = -4361", "Divide both sides by -4: x = 4361/4"], "final_answer": "4361/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 56 = 5(x - 861)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 5, \"c\": 861}", "seed": "18176235833522379263", "semantic_fingerprint": "sha256:a1e8b22204af3e61059a9adb8f61fea59e5c9c68e1a3797e53335f960eb2c34d", "generator_version": "3.0"}
{"id": "v3_test_id_00003006", "prompt": "Solve the equation 5(x - 9) = -100 for x.", "solution_steps": ["Expand: 5x - 45 = -100", "Add 45 to both sides: 5x = -55", "Divide both sides by 5: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 9) = -100", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"d\": -100, \"x\": -11}", "seed": "17056076785015413735", "semantic_fingerprint": "sha256:9895135332d6b4572fffa00b595c29903810a11764ce1f34601fbe62329c848a", "generator_version": "3.0"}
{"id": "v3_test_id_00003007", "prompt": "Evaluate: (-78 + 42) * (-7)", "solution_steps": ["Add: -78 + 42 = -36", "Multiply: -36 * (-7) = 252"], "final_answer": "252", "answer_type": "integer", "kind": "expression", "math_text": "(-78 + 42) * (-7)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": 42, \"c\": -7}", "seed": "1262363818467991089", "semantic_fingerprint": "sha256:9373297f461d03997582100e9d884a64a46e2b461784ecf491a2efdbb85ef9f0", "generator_version": "3.0"}
{"id": "v3_test_id_00003008", "prompt": "Solve for x: x = -2(x + 57) + 4", "solution_steps": ["Expand: x = -2x - 114 + 4", "Combine constants: x = -2x - 110", "Add 2x to both sides: 3x = -110", "Divide both sides by 3: x = -110/3"], "final_answer": "-110/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -2(x + 57) + 4", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 57, \"c\": 4}", "seed": "3650917421433586011", "semantic_fingerprint": "sha256:85636b586d8d5bc3b8e1b6ccf80288b1e2be7a2c9712c31b36ea2b2970a3db87", "generator_version": "3.0"}
{"id": "v3_test_id_00003009", "prompt": "What is (-533 / (-456) + 16) / (-1)?", "solution_steps": ["Divide: -533 / (-456) = 533/456", "Add: 533/456 + 16 = 7829/456", "Divide: (7829/456) / (-1) = -7829/456"], "final_answer": "-7829/456", "answer_type": "rational", "kind": "expression", "math_text": "(-533 / (-456) + 16) / (-1)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -533, \"b\": -456, \"c\": 16, \"d\": -1}", "seed": "13715960232571235119", "semantic_fingerprint": "sha256:4aee253c4af3bcfb4d98c11d2a37e503e6e913c359539892caa07af3e3ae8c84", "generator_version": "3.0"}
{"id": "v3_test_id_00003010", "prompt": "Compute: 516 + (-605) + (-63 + (-8)) + (-1)", "solution_steps": ["Add: 516 + (-605) = -89", "Add: -63 + (-8) = -71", "Add: -89 + (-71) = -160", "Add: -160 + (-1) = -161"], "final_answer": "-161", "answer_type": "integer", "kind": "expression", "math_text": "516 + (-605) + (-63 + (-8)) + (-1)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 516, \"b\": -605, \"c\": -63, \"d\": -8, \"e\": -1}", "seed": "1242903432981803756", "semantic_fingerprint": "sha256:d76f6e138d7665d039103c5dc89852f4aed2a57c3d2d88115d9d8055b7be6829", "generator_version": "3.0"}
{"id": "v3_test_id_00003011", "prompt": "Compute: (611 + 151) / 40", "solution_steps": ["Add: 611 + 151 = 762", "Divide: 762 / 40 = 381/20"], "final_answer": "381/20", "answer_type": "rational", "kind": "expression", "math_text": "(611 + 151) / 40", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 611, \"b\": 151, \"c\": 40}", "seed": "11769259265527563661", "semantic_fingerprint": "sha256:794e93d54429fffde1223280b50ec95e6b6433a4d77c028e529140d95fdf0b2d", "generator_version": "3.0"}
{"id": "v3_test_id_00003012", "prompt": "Find x: -8x = 9x - 219", "solution_steps": ["Subtract 9x from both sides: -17x = -219", "Divide both sides by -17: x = 219/17"], "final_answer": "219/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8x = 9x - 219", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 9, \"c\": 219}", "seed": "16355958076388257452", "semantic_fingerprint": "sha256:7fa68636da92c39cbe82197b72a6b2eda2a3e6590884c0f881a663694158c453", "generator_version": "3.0"}
{"id": "v3_test_id_00003013", "prompt": "Evaluate: -9 / 26 / (7 - 29)", "solution_steps": ["Divide: -9 / 26 = -9/26", "Subtract: 7 - 29 = -22", "Divide: (-9/26) / (-22) = 9/572"], "final_answer": "9/572", "answer_type": "rational", "kind": "expression", "math_text": "-9 / 26 / (7 - 29)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 26, \"c\": 7, \"d\": 29}", "seed": "17647400759668498940", "semantic_fingerprint": "sha256:1fca7e2a3f14ecbc1a6a6344ebab1f7f47696d7278b764b783d5c2a5d7c8996a", "generator_version": "3.0"}
{"id": "v3_test_id_00003014", "prompt": "Solve for x: x + 64 = 10(x - 2) + 246", "solution_steps": ["Expand: x + 64 = 10x - 20 + 246", "Combine constants: x + 64 = 10x + 226", "Subtract 10x from both sides: -9x + 64 = 226", "Subtract 64 from both sides: -9x = 162", "Divide both sides by -9: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 64 = 10(x - 2) + 246", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": 10, \"c\": 2, \"e\": 246, \"x\": -18}", "seed": "16323571506554159902", "semantic_fingerprint": "sha256:324d81e80df23aa2d0c1cfda54dd239f7cabc31d4e982498939e859da12a0fde", "generator_version": "3.0"}
{"id": "v3_test_id_00003015", "prompt": "Solve the equation -3(x - 3) - 29 = x for x.", "solution_steps": ["Expand: -3x + 9 - 29 = x", "Combine constants: -3x - 20 = x", "Subtract x from both sides: -4x - 20 = 0", "Add 20 to both sides: -4x = 20", "Divide both sides by -4: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 3) - 29 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 3, \"d\": -29, \"x\": -5}", "seed": "16610401413308733111", "semantic_fingerprint": "sha256:321ecbe1e662a020e573be76d2fcb38c3e3d21df376f4213694481dbcde6bb28", "generator_version": "3.0"}
{"id": "v3_test_id_00003016", "prompt": "Calculate: (-86 + 91) * 9", "solution_steps": ["Add: -86 + 91 = 5", "Multiply: 5 * 9 = 45"], "final_answer": "45", "answer_type": "integer", "kind": "expression", "math_text": "(-86 + 91) * 9", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": 91, \"c\": 9}", "seed": "13418072513869363011", "semantic_fingerprint": "sha256:d9d7c163fc1aa23ac15b983afbae1e126cb12fa2a0a7d105f39351898acc9cf7", "generator_version": "3.0"}
{"id": "v3_test_id_00003017", "prompt": "What value of x satisfies 12(x - 54) + 4 = 2x - 734?", "solution_steps": ["Expand: 12x - 648 + 4 = 2x - 734", "Combine constants: 12x - 644 = 2x - 734", "Subtract 2x from both sides: 10x - 644 = -734", "Add 644 to both sides: 10x = -90", "Divide both sides by 10: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 54) + 4 = 2x - 734", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 54, \"c\": 4, \"d\": 2, \"f\": -734, \"x\": -9}", "seed": "6555293280286377272", "semantic_fingerprint": "sha256:132064cacd09e6770315660dfe6b1e0cd812998782204c2f01ac3d64ddc1b559", "generator_version": "3.0"}
{"id": "v3_test_id_00003018", "prompt": "Evaluate: -88 - (-8 - (-45 + 14))", "solution_steps": ["Add: -45 + 14 = -31", "Subtract: -8 - (-31) = 23", "Subtract: -88 - 23 = -111"], "final_answer": "-111", "answer_type": "integer", "kind": "expression", "math_text": "-88 - (-8 - (-45 + 14))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": -8, \"c\": -45, \"d\": 14}", "seed": "5205411804350684754", "semantic_fingerprint": "sha256:431e999267814db7ee3c483b68c5fa66ac47178e65126734cadb9e1f4850107e", "generator_version": "3.0"}
{"id": "v3_test_id_00003019", "prompt": "What is -34 - (-384 + 0) * 3?", "solution_steps": ["Add: -384 + 0 = -384", "Multiply: -384 * 3 = -1152", "Subtract: -34 - (-1152) = 1118"], "final_answer": "1118", "answer_type": "integer", "kind": "expression", "math_text": "-34 - (-384 + 0) * 3", "variable": null, "family": "expression_3op", "shape": "(- n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -34, \"b\": -384, \"c\": 0, \"d\": 3}", "seed": "10705380861193102872", "semantic_fingerprint": "sha256:c2adeed12c775c4d2527f42a6bfedae037e08e8ebd60503d01250f62b26738ef", "generator_version": "3.0"}
{"id": "v3_test_id_00003020", "prompt": "Evaluate: 8 - 0 - 29 * 45 / (-11)", "solution_steps": ["Subtract: 8 - 0 = 8", "Multiply: 29 * 45 = 1305", "Divide: 1305 / (-11) = -1305/11", "Subtract: 8 - (-1305/11) = 1393/11"], "final_answer": "1393/11", "answer_type": "rational", "kind": "expression", "math_text": "8 - 0 - 29 * 45 / (-11)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 0, \"c\": 29, \"d\": 45, \"e\": -11}", "seed": "9495447996134500601", "semantic_fingerprint": "sha256:640463c4c0722361ac32dd2ad538e3dba47bbcea97fefd669c4378081c4b372a", "generator_version": "3.0"}
{"id": "v3_test_id_00003021", "prompt": "Compute: 633 + (-57 + 88)", "solution_steps": ["Add: -57 + 88 = 31", "Add: 633 + 31 = 664"], "final_answer": "664", "answer_type": "integer", "kind": "expression", "math_text": "633 + (-57 + 88)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 633, \"b\": -57, \"c\": 88}", "seed": "8997956455167424965", "semantic_fingerprint": "sha256:457a57a35bc575cb2f9d835019939ec85aeaf548e97c91337d5c56fe85445b9b", "generator_version": "3.0"}
{"id": "v3_test_id_00003022", "prompt": "What is (-97 * (-6) * 0 + (-730)) * (-6)?", "solution_steps": ["Multiply: -97 * (-6) = 582", "Multiply: 582 * 0 = 0", "Add: 0 + (-730) = -730", "Multiply: -730 * (-6) = 4380"], "final_answer": "4380", "answer_type": "integer", "kind": "expression", "math_text": "(-97 * (-6) * 0 + (-730)) * (-6)", "variable": null, "family": "expression_4op", "shape": "(* (+ (* (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": -6, \"c\": 0, \"d\": -730, \"e\": -6}", "seed": "267340322190607192", "semantic_fingerprint": "sha256:315a0dd42d0054b695b131061089d39390f4c4ba135cc7013def66224fdf9352", "generator_version": "3.0"}
{"id": "v3_test_id_00003023", "prompt": "Calculate: -3 * (256 + 75 + (-38)) / 2 / 72", "solution_steps": ["Add: 256 + 75 = 331", "Add: 331 + (-38) = 293", "Multiply: -3 * 293 = -879", "Divide: -879 / 2 = -879/2", "Divide: (-879/2) / 72 = -293/48"], "final_answer": "-293/48", "answer_type": "rational", "kind": "expression", "math_text": "-3 * (256 + 75 + (-38)) / 2 / 72", "variable": null, "family": "expression_5op", "shape": "(/ (/ (* n (+ (+ n n) n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 256, \"c\": 75, \"d\": -38, \"e\": 2, \"f\": 72}", "seed": "12130855125405179635", "semantic_fingerprint": "sha256:d8839f506b7cb39c284255aaf86d6f7f32b7da96395da776c32de384482dfcf6", "generator_version": "3.0"}
{"id": "v3_test_id_00003024", "prompt": "Compute: -11 - (99 + (-1 + (-16)))", "solution_steps": ["Add: -1 + (-16) = -17", "Add: 99 + (-17) = 82", "Subtract: -11 - 82 = -93"], "final_answer": "-93", "answer_type": "integer", "kind": "expression", "math_text": "-11 - (99 + (-1 + (-16)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 99, \"c\": -1, \"d\": -16}", "seed": "17877860466775451775", "semantic_fingerprint": "sha256:6437d209cc142adcd8ed2e451036bc32b4912077ef8663c8a8b17c9b16ccc861", "generator_version": "3.0"}
{"id": "v3_test_id_00003025", "prompt": "What is (855 + 9) / (-48 + (-71)) * (-37)?", "solution_steps": ["Add: 855 + 9 = 864", "Add: -48 + (-71) = -119", "Divide: 864 / (-119) = -864/119", "Multiply: (-864/119) * (-37) = 31968/119"], "final_answer": "31968/119", "answer_type": "rational", "kind": "expression", "math_text": "(855 + 9) / (-48 + (-71)) * (-37)", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 855, \"b\": 9, \"c\": -48, \"d\": -71, \"e\": -37}", "seed": "317939889468812656", "semantic_fingerprint": "sha256:2817f4220bc30d406e2862302e84a55c3365223fd9fe47aad667747030d155f0", "generator_version": "3.0"}
{"id": "v3_test_id_00003026", "prompt": "Find x: -5x + 6 = 8(x + 17)", "solution_steps": ["Expand: -5x + 6 = 8x + 136", "Subtract 8x from both sides: -13x + 6 = 136", "Subtract 6 from both sides: -13x = 130", "Divide both sides by -13: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x + 6 = 8(x + 17)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 6, \"c\": 8, \"d\": 17}", "seed": "16810460239054186431", "semantic_fingerprint": "sha256:f9ff9f39d2a6bc0b741fa11894fed62ee138bd51157f678d14b51bc522affddc", "generator_version": "3.0"}
{"id": "v3_test_id_00003027", "prompt": "What is (3 - 175) / (-62) * (-736)?", "solution_steps": ["Subtract: 3 - 175 = -172", "Divide: -172 / (-62) = 86/31", "Multiply: (86/31) * (-736) = -63296/31"], "final_answer": "-63296/31", "answer_type": "rational", "kind": "expression", "math_text": "(3 - 175) / (-62) * (-736)", "variable": null, "family": "expression_3op", "shape": "(* (/ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 175, \"c\": -62, \"d\": -736}", "seed": "5875051819662366872", "semantic_fingerprint": "sha256:554f62e7fc65174d6ef90f73359464f12a64f40efb66077ce308c20f63e4a39d", "generator_version": "3.0"}
{"id": "v3_test_id_00003028", "prompt": "Solve for x: x + 203 = 7(x + 6) + 245", "solution_steps": ["Expand: x + 203 = 7x + 42 + 245", "Combine constants: x + 203 = 7x + 287", "Subtract 7x from both sides: -6x + 203 = 287", "Subtract 203 from both sides: -6x = 84", "Divide both sides by -6: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 203 = 7(x + 6) + 245", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 203, \"b\": 7, \"c\": 6, \"e\": 245, \"x\": -14}", "seed": "10408796314488781574", "semantic_fingerprint": "sha256:3f9931c60ebde37186e1b71226b8842638e594472b5efb915fd345941ba91993", "generator_version": "3.0"}
{"id": "v3_test_id_00003029", "prompt": "Calculate: -55 / 653", "solution_steps": ["Divide: -55 / 653 = -55/653"], "final_answer": "-55/653", "answer_type": "rational", "kind": "expression", "math_text": "-55 / 653", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": 653}", "seed": "9372215178560226132", "semantic_fingerprint": "sha256:4fe1dd4089709462906759471972a7369862b6ec30622f6c40e2d182c5789c57", "generator_version": "3.0"}
{"id": "v3_test_id_00003030", "prompt": "Find x: 8(x + 93) + 9 = -7(x - 29) + 460", "solution_steps": ["Expand: 8x + 744 + 9 = -7(x - 29) + 460", "Expand: 8x + 744 + 9 = -7x + 203 + 460", "Combine constants: 8x + 753 = -7x + 203 + 460", "Combine constants: 8x + 753 = -7x + 663", "Add 7x to both sides: 15x + 753 = 663", "Subtract 753 from both sides: 15x = -90", "Divide both sides by 15: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 93) + 9 = -7(x - 29) + 460", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 93, \"c\": 9, \"d\": -7, \"e\": 29, \"g\": 460, \"x\": -6}", "seed": "17734440964070536389", "semantic_fingerprint": "sha256:3b1b825f8a498281bd4e62ed5436a26a8508ff54aa688fd7a4d6833265c84154", "generator_version": "3.0"}
{"id": "v3_test_id_00003031", "prompt": "What is -7 / (-53 + 16)?", "solution_steps": ["Add: -53 + 16 = -37", "Divide: -7 / (-37) = 7/37"], "final_answer": "7/37", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (-53 + 16)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -53, \"c\": 16}", "seed": "9998452778413721853", "semantic_fingerprint": "sha256:82894c1a37111d6b1d4ad1d644174d1e9e3a2ffe240700d9754e35bc4f1f3032", "generator_version": "3.0"}
{"id": "v3_test_id_00003032", "prompt": "What is (68 + 0) / 2?", "solution_steps": ["Add: 68 + 0 = 68", "Divide: 68 / 2 = 34"], "final_answer": "34", "answer_type": "integer", "kind": "expression", "math_text": "(68 + 0) / 2", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": 0, \"c\": 2}", "seed": "9539087704265032700", "semantic_fingerprint": "sha256:afe7c5031df6bfd9313f3d4bd22fd31095eeeec57187fcec8b6bc635c44c16fa", "generator_version": "3.0"}
{"id": "v3_test_id_00003033", "prompt": "Calculate: 91 - 77", "solution_steps": ["Subtract: 91 - 77 = 14"], "final_answer": "14", "answer_type": "integer", "kind": "expression", "math_text": "91 - 77", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": 77}", "seed": "4467028021000469079", "semantic_fingerprint": "sha256:c349afd63c26eca308de9a6dadb3511d7125edb5c765d07934f96fe6e277ba3d", "generator_version": "3.0"}
{"id": "v3_test_id_00003034", "prompt": "What is -411 + 5?", "solution_steps": ["Add: -411 + 5 = -406"], "final_answer": "-406", "answer_type": "integer", "kind": "expression", "math_text": "-411 + 5", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -411, \"b\": 5}", "seed": "12774955472113669149", "semantic_fingerprint": "sha256:6e717ef2f1a4caa2091ebf03f64090fd580e67da255500ff22d47f67519c7d7a", "generator_version": "3.0"}
{"id": "v3_test_id_00003035", "prompt": "Compute: 98 - (-26)", "solution_steps": ["Subtract: 98 - (-26) = 124"], "final_answer": "124", "answer_type": "integer", "kind": "expression", "math_text": "98 - (-26)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": -26}", "seed": "14953370160601197213", "semantic_fingerprint": "sha256:4dec859310221b2ebc0dfc58d7756b28f58786aa8913d7860722dce486fd3860", "generator_version": "3.0"}
{"id": "v3_test_id_00003036", "prompt": "Solve the equation x - 60 = -4x for x.", "solution_steps": ["Add 4x to both sides: 5x - 60 = 0", "Add 60 to both sides: 5x = 60", "Divide both sides by 5: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 60 = -4x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"c\": -60, \"x\": 12}", "seed": "3833567077840418750", "semantic_fingerprint": "sha256:215f232e9fc3171a91c30a9350181f224346da500c41e39c5e23139caf16b4d8", "generator_version": "3.0"}
{"id": "v3_test_id_00003037", "prompt": "Evaluate: -672 - (-95) / (-58) + 0 * (-72)", "solution_steps": ["Divide: -95 / (-58) = 95/58", "Subtract: -672 - 95/58 = -39071/58", "Multiply: 0 * (-72) = 0", "Add: -39071/58 + 0 = -39071/58"], "final_answer": "-39071/58", "answer_type": "rational", "kind": "expression", "math_text": "-672 - (-95) / (-58) + 0 * (-72)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -672, \"b\": -95, \"c\": -58, \"d\": 0, \"e\": -72}", "seed": "10172695626319795627", "semantic_fingerprint": "sha256:e088f686e1b20a9fabb096ed6e7c36eba7519a86a213b63f537bc44bf9d753db", "generator_version": "3.0"}
{"id": "v3_test_id_00003038", "prompt": "Evaluate: -13 - 41 / 533", "solution_steps": ["Divide: 41 / 533 = 1/13", "Subtract: -13 - 1/13 = -170/13"], "final_answer": "-170/13", "answer_type": "rational", "kind": "expression", "math_text": "-13 - 41 / 533", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": 41, \"c\": 533}", "seed": "9009053222812276383", "semantic_fingerprint": "sha256:cabe6fd534bb53904a7d7a67c897c00abdfa8e292c049f62d3df27d753455ea7", "generator_version": "3.0"}
{"id": "v3_test_id_00003039", "prompt": "Solve the equation 9(x - 82) = x - 890 for x.", "solution_steps": ["Expand: 9x - 738 = x - 890", "Subtract x from both sides: 8x - 738 = -890", "Add 738 to both sides: 8x = -152", "Divide both sides by 8: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 82) = x - 890", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 82, \"d\": -890, \"x\": -19}", "seed": "7703613918550054956", "semantic_fingerprint": "sha256:3b700837dfd249e06aba4236cb46edce5decd9a7552f832469c2867dc9939c7b", "generator_version": "3.0"}
{"id": "v3_test_id_00003040", "prompt": "Evaluate: 410 - (-99 - 1 * (-853 + 42))", "solution_steps": ["Add: -853 + 42 = -811", "Multiply: 1 * (-811) = -811", "Subtract: -99 - (-811) = 712", "Subtract: 410 - 712 = -302"], "final_answer": "-302", "answer_type": "integer", "kind": "expression", "math_text": "410 - (-99 - 1 * (-853 + 42))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (* n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 410, \"b\": -99, \"c\": 1, \"d\": -853, \"e\": 42}", "seed": "5928558129971072731", "semantic_fingerprint": "sha256:6ad16ac41f702d3ae1889b77ceed770feda4fdd7262a2ba05f944d78e6ac5c4c", "generator_version": "3.0"}
{"id": "v3_test_id_00003041", "prompt": "Compute: 216 * (0 / (-23))", "solution_steps": ["Divide: 0 / (-23) = 0", "Multiply: 216 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "216 * (0 / (-23))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 216, \"b\": 0, \"c\": -23}", "seed": "11029734828843339393", "semantic_fingerprint": "sha256:8b7ff3c63aa59ab085551dccfaedeaa6eb754514c7d43d5496a4d81e4e78c438", "generator_version": "3.0"}
{"id": "v3_test_id_00003042", "prompt": "Solve for x: 11(x - 210) + 7 = -26", "solution_steps": ["Expand: 11x - 2310 + 7 = -26", "Combine constants: 11x - 2303 = -26", "Add 2303 to both sides: 11x = 2277", "Divide both sides by 11: x = 207"], "final_answer": "207", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 210) + 7 = -26", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 210, \"c\": 7, \"d\": -26}", "seed": "17842735482204599745", "semantic_fingerprint": "sha256:2838715b783998a5e11bffe2ab95188cd3ee31dc058d2fd4675d76ea6c0fbd46", "generator_version": "3.0"}
{"id": "v3_test_id_00003043", "prompt": "What value of x satisfies -5x + 40 = -7x?", "solution_steps": ["Add 7x to both sides: 2x + 40 = 0", "Subtract 40 from both sides: 2x = -40", "Divide both sides by 2: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x + 40 = -7x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -7, \"d\": 40, \"x\": -20}", "seed": "2493750205331186415", "semantic_fingerprint": "sha256:a29c4322140557a7e82e9a7674174154ba21ffe1a0ed4492130de45fed09ae92", "generator_version": "3.0"}
{"id": "v3_test_id_00003044", "prompt": "Compute: -976 * (-2) / 8", "solution_steps": ["Multiply: -976 * (-2) = 1952", "Divide: 1952 / 8 = 244"], "final_answer": "244", "answer_type": "integer", "kind": "expression", "math_text": "-976 * (-2) / 8", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -976, \"b\": -2, \"c\": 8}", "seed": "1346574927805680074", "semantic_fingerprint": "sha256:3814295f5ef167abf9467506ba3680715e265dd4d569179a8e548fe628d079fa", "generator_version": "3.0"}
{"id": "v3_test_id_00003045", "prompt": "What is 507 - (-484)?", "solution_steps": ["Subtract: 507 - (-484) = 991"], "final_answer": "991", "answer_type": "integer", "kind": "expression", "math_text": "507 - (-484)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 507, \"b\": -484}", "seed": "15913605645921920530", "semantic_fingerprint": "sha256:5d8fbf5f9fa2cbd42e3c96e53db4c3188fdc987b52c864ec14337da8b0a924a4", "generator_version": "3.0"}
{"id": "v3_test_id_00003046", "prompt": "What is -80 / (31 + 4)?", "solution_steps": ["Add: 31 + 4 = 35", "Divide: -80 / 35 = -16/7"], "final_answer": "-16/7", "answer_type": "rational", "kind": "expression", "math_text": "-80 / (31 + 4)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": 31, \"c\": 4}", "seed": "13743064349786945086", "semantic_fingerprint": "sha256:0aabdd8cded1af72bf060b3c09e3ae1c4b73e5055c7a9fdba24555c626c0148e", "generator_version": "3.0"}
{"id": "v3_test_id_00003047", "prompt": "What value of x satisfies -8x - 34 = 7(x + 38)?", "solution_steps": ["Expand: -8x - 34 = 7x + 266", "Subtract 7x from both sides: -15x - 34 = 266", "Add 34 to both sides: -15x = 300", "Divide both sides by -15: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x - 34 = 7(x + 38)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 7, \"c\": 38, \"e\": -34, \"x\": -20}", "seed": "18050548850681571684", "semantic_fingerprint": "sha256:fe52da4509829e4d4cd86c579a45f5e11e18c48b9939fb6f263c7f1deab77007", "generator_version": "3.0"}
{"id": "v3_test_id_00003048", "prompt": "Evaluate: (4 - 47) * 469 / (-36)", "solution_steps": ["Subtract: 4 - 47 = -43", "Multiply: -43 * 469 = -20167", "Divide: -20167 / (-36) = 20167/36"], "final_answer": "20167/36", "answer_type": "rational", "kind": "expression", "math_text": "(4 - 47) * 469 / (-36)", "variable": null, "family": "expression_3op", "shape": "(/ (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 47, \"c\": 469, \"d\": -36}", "seed": "13461961550619579921", "semantic_fingerprint": "sha256:610e3db4b24deae9ff600f7739d138886479c3bd2c6a9d50af367e2ac85530be", "generator_version": "3.0"}
{"id": "v3_test_id_00003049", "prompt": "What value of x satisfies x - 80 = 10(x - 8)?", "solution_steps": ["Expand: x - 80 = 10x - 80", "Subtract 10x from both sides: -9x - 80 = -80", "Add 80 to both sides: -9x = 0", "Divide both sides by -9: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 80 = 10(x - 8)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 8, \"d\": -80, \"x\": 0}", "seed": "10642127430771219859", "semantic_fingerprint": "sha256:d65ea4a9d6dcff0b7eac9847f4f25160c730e9c65e98890ab9c194b65e2088eb", "generator_version": "3.0"}
{"id": "v3_test_id_00003050", "prompt": "What value of x satisfies -5(x - 4) - 714 = 6x - 892?", "solution_steps": ["Expand: -5x + 20 - 714 = 6x - 892", "Combine constants: -5x - 694 = 6x - 892", "Subtract 6x from both sides: -11x - 694 = -892", "Add 694 to both sides: -11x = -198", "Divide both sides by -11: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 4) - 714 = 6x - 892", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 4, \"c\": 714, \"d\": 6, \"f\": -892, \"x\": 18}", "seed": "2915861597490041278", "semantic_fingerprint": "sha256:fb494cd7c829d22de380e6bb49f5b113e39e281c07c85c6d75cebab5cae23003", "generator_version": "3.0"}
{"id": "v3_test_id_00003051", "prompt": "Solve for x: 11(x - 9) + 48 = x", "solution_steps": ["Expand: 11x - 99 + 48 = x", "Combine constants: 11x - 51 = x", "Subtract x from both sides: 10x - 51 = 0", "Add 51 to both sides: 10x = 51", "Divide both sides by 10: x = 51/10"], "final_answer": "51/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 9) + 48 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 9, \"c\": 48}", "seed": "968444508583087499", "semantic_fingerprint": "sha256:18750cd27138192509e5389181e513d2ac9c6573d6cf927fa360c99b0327b4c7", "generator_version": "3.0"}
{"id": "v3_test_id_00003052", "prompt": "Solve the equation 12x + 347 = 5(x + 68) for x.", "solution_steps": ["Expand: 12x + 347 = 5x + 340", "Subtract 5x from both sides: 7x + 347 = 340", "Subtract 347 from both sides: 7x = -7", "Divide both sides by 7: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 347 = 5(x + 68)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": 68, \"e\": 347, \"x\": -1}", "seed": "5691750319833660727", "semantic_fingerprint": "sha256:9f334b4633027d34d96ce454164cbaefe86c9b832cba5e403180d709cabea1a5", "generator_version": "3.0"}
{"id": "v3_test_id_00003053", "prompt": "What value of x satisfies x + 109 = 4x - 63?", "solution_steps": ["Subtract 4x from both sides: -3x + 109 = -63", "Subtract 109 from both sides: -3x = -172", "Divide both sides by -3: x = 172/3"], "final_answer": "172/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 109 = 4x - 63", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 109, \"b\": 4, \"c\": 63}", "seed": "6792465514934388003", "semantic_fingerprint": "sha256:f9ae3224c12f2c7043960ba5efb7d58f76418811310aba2b6f9823842331b042", "generator_version": "3.0"}
{"id": "v3_test_id_00003054", "prompt": "What is 76 * (126 - 2)?", "solution_steps": ["Subtract: 126 - 2 = 124", "Multiply: 76 * 124 = 9424"], "final_answer": "9424", "answer_type": "integer", "kind": "expression", "math_text": "76 * (126 - 2)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 126, \"c\": 2}", "seed": "2218743591418735668", "semantic_fingerprint": "sha256:d8dbad68cdf90f5af1b334517bf8374190214cfbdb071636f139edb26bcb14eb", "generator_version": "3.0"}
{"id": "v3_test_id_00003055", "prompt": "Calculate: 51 + 797", "solution_steps": ["Add: 51 + 797 = 848"], "final_answer": "848", "answer_type": "integer", "kind": "expression", "math_text": "51 + 797", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 797}", "seed": "13627722098533347339", "semantic_fingerprint": "sha256:d491169403233bd6aa1f68870171e4f6afbcc33beee88af0a3b5996918922bc2", "generator_version": "3.0"}
{"id": "v3_test_id_00003056", "prompt": "What is 58 * (-5) + (-52 - (3 + (-96)))?", "solution_steps": ["Multiply: 58 * (-5) = -290", "Add: 3 + (-96) = -93", "Subtract: -52 - (-93) = 41", "Add: -290 + 41 = -249"], "final_answer": "-249", "answer_type": "integer", "kind": "expression", "math_text": "58 * (-5) + (-52 - (3 + (-96)))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": -5, \"c\": -52, \"d\": 3, \"e\": -96}", "seed": "340540706196892176", "semantic_fingerprint": "sha256:3a215c7338e4dd4381a8adadfc52ef1f40f62dd4b045cb751005bdbfa8ac806a", "generator_version": "3.0"}
{"id": "v3_test_id_00003057", "prompt": "What value of x satisfies -7(x + 2) = 12x?", "solution_steps": ["Expand: -7x - 14 = 12x", "Subtract 12x from both sides: -19x - 14 = 0", "Add 14 to both sides: -19x = 14", "Divide both sides by -19: x = -14/19"], "final_answer": "-14/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x + 2) = 12x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 2, \"c\": 12}", "seed": "2043678803648434071", "semantic_fingerprint": "sha256:4df67ba292cd06f06de9f236911e02403cae451c1323f1d4454f2363585038f7", "generator_version": "3.0"}
{"id": "v3_test_id_00003058", "prompt": "Solve for x: -2x = 4x - 96", "solution_steps": ["Subtract 4x from both sides: -6x = -96", "Divide both sides by -6: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x = 4x - 96", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 4, \"d\": -96, \"x\": 16}", "seed": "1084489867661880687", "semantic_fingerprint": "sha256:d12f2b2e8d7552296c7fc19a0368ef52cb6725df3419a37ff7f7d283ae470910", "generator_version": "3.0"}
{"id": "v3_test_id_00003059", "prompt": "Compute: (6 - 6) / (-9)", "solution_steps": ["Subtract: 6 - 6 = 0", "Divide: 0 / (-9) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(6 - 6) / (-9)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"c\": -9}", "seed": "10166222553457900810", "semantic_fingerprint": "sha256:4e1cf59cc32dd952c94359ea6e7a19b038748410b2f7269fdc3818432e257961", "generator_version": "3.0"}
{"id": "v3_test_id_00003060", "prompt": "Find x: 6(x + 839) = 10(x - 450) - 47", "solution_steps": ["Expand: 6x + 5034 = 10(x - 450) - 47", "Expand: 6x + 5034 = 10x - 4500 - 47", "Combine constants: 6x + 5034 = 10x - 4547", "Subtract 10x from both sides: -4x + 5034 = -4547", "Subtract 5034 from both sides: -4x = -9581", "Divide both sides by -4: x = 9581/4"], "final_answer": "9581/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 839) = 10(x - 450) - 47", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 839, \"c\": 10, \"d\": 450, \"e\": 47}", "seed": "6361232489366824792", "semantic_fingerprint": "sha256:812173705090a715fefe08702e4bac7bfcf07c8e802eea9acdddcb1d2a7a8c39", "generator_version": "3.0"}
{"id": "v3_test_id_00003061", "prompt": "Calculate: 8 * (1 / 98 + (-399) / 3)", "solution_steps": ["Divide: 1 / 98 = 1/98", "Divide: -399 / 3 = -133", "Add: 1/98 + (-133) = -13033/98", "Multiply: 8 * (-13033/98) = -52132/49"], "final_answer": "-52132/49", "answer_type": "rational", "kind": "expression", "math_text": "8 * (1 / 98 + (-399) / 3)", "variable": null, "family": "expression_4op", "shape": "(* n (+ (/ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1, \"c\": 98, \"d\": -399, \"e\": 3}", "seed": "14916742106549774160", "semantic_fingerprint": "sha256:29b11ae12cb3b1a7c10fec8625fa8c399358376e6b0f86d6f29f7d6644441f8f", "generator_version": "3.0"}
{"id": "v3_test_id_00003062", "prompt": "Calculate: -276 / 74 - 9 / (-9)", "solution_steps": ["Divide: -276 / 74 = -138/37", "Divide: 9 / (-9) = -1", "Subtract: -138/37 - (-1) = -101/37"], "final_answer": "-101/37", "answer_type": "rational", "kind": "expression", "math_text": "-276 / 74 - 9 / (-9)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -276, \"b\": 74, \"c\": 9, \"d\": -9}", "seed": "11416879886143717093", "semantic_fingerprint": "sha256:a48b9f256d32306db3a3870be6e2b013b05a7e220d05f253b993ea78761846f3", "generator_version": "3.0"}
{"id": "v3_test_id_00003063", "prompt": "Calculate: (225 - 41) / (9 / 7)", "solution_steps": ["Subtract: 225 - 41 = 184", "Divide: 9 / 7 = 9/7", "Divide: 184 / (9/7) = 1288/9"], "final_answer": "1288/9", "answer_type": "rational", "kind": "expression", "math_text": "(225 - 41) / (9 / 7)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 225, \"b\": 41, \"c\": 9, \"d\": 7}", "seed": "10693394302505474468", "semantic_fingerprint": "sha256:dcb1edf3c8786369a7100bc941341ecd1e8dcf248d76515dcacfaead50c82a40", "generator_version": "3.0"}
{"id": "v3_test_id_00003064", "prompt": "What is 61 + 76 - (-79)?", "solution_steps": ["Add: 61 + 76 = 137", "Subtract: 137 - (-79) = 216"], "final_answer": "216", "answer_type": "integer", "kind": "expression", "math_text": "61 + 76 - (-79)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": 76, \"c\": -79}", "seed": "11405390446981334642", "semantic_fingerprint": "sha256:7860289f663f02975ebe3a2b591891bae9ca7a990477328a699f875241f896fd", "generator_version": "3.0"}
{"id": "v3_test_id_00003065", "prompt": "Compute: 24 * 9 + (-35 + 4)", "solution_steps": ["Multiply: 24 * 9 = 216", "Add: -35 + 4 = -31", "Add: 216 + (-31) = 185"], "final_answer": "185", "answer_type": "integer", "kind": "expression", "math_text": "24 * 9 + (-35 + 4)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": 9, \"c\": -35, \"d\": 4}", "seed": "190771257604309212", "semantic_fingerprint": "sha256:6267b0ae5592e5c055db504edb9b61e4d1ec8bc322bb388d7bd697dd46bd4926", "generator_version": "3.0"}
{"id": "v3_test_id_00003066", "prompt": "Calculate: 1 + (41 + 5)", "solution_steps": ["Add: 41 + 5 = 46", "Add: 1 + 46 = 47"], "final_answer": "47", "answer_type": "integer", "kind": "expression", "math_text": "1 + (41 + 5)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 41, \"c\": 5}", "seed": "254240665769752156", "semantic_fingerprint": "sha256:b543815ad4b553e2753bbe990bda21f2ea6adc010de853f18fd5328d07822762", "generator_version": "3.0"}
{"id": "v3_test_id_00003067", "prompt": "Calculate: -4 - 36 * (-4)", "solution_steps": ["Multiply: 36 * (-4) = -144", "Subtract: -4 - (-144) = 140"], "final_answer": "140", "answer_type": "integer", "kind": "expression", "math_text": "-4 - 36 * (-4)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 36, \"c\": -4}", "seed": "132355055344216778", "semantic_fingerprint": "sha256:33a6cb7f62815319f60a445bbb2023ee29e041cf073758473a365d81c07e0f6f", "generator_version": "3.0"}
{"id": "v3_test_id_00003068", "prompt": "Compute: 549 - 78 - (-22)", "solution_steps": ["Subtract: 549 - 78 = 471", "Subtract: 471 - (-22) = 493"], "final_answer": "493", "answer_type": "integer", "kind": "expression", "math_text": "549 - 78 - (-22)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 549, \"b\": 78, \"c\": -22}", "seed": "13052860510031964008", "semantic_fingerprint": "sha256:61e88d5a79b466d81be0b01de536e2cc1cf88af18653a600907ad0a64e936b20", "generator_version": "3.0"}
{"id": "v3_test_id_00003069", "prompt": "What is 745 / (-75 / 8)?", "solution_steps": ["Divide: -75 / 8 = -75/8", "Divide: 745 / (-75/8) = -1192/15"], "final_answer": "-1192/15", "answer_type": "rational", "kind": "expression", "math_text": "745 / (-75 / 8)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 745, \"b\": -75, \"c\": 8}", "seed": "15849451850257476078", "semantic_fingerprint": "sha256:4741c08ad45457c313a1ac15681d9ceb9ac8087758c19a6930cdcae6da57117c", "generator_version": "3.0"}
{"id": "v3_test_id_00003070", "prompt": "Evaluate: 78 - 38 * (-30)", "solution_steps": ["Multiply: 38 * (-30) = -1140", "Subtract: 78 - (-1140) = 1218"], "final_answer": "1218", "answer_type": "integer", "kind": "expression", "math_text": "78 - 38 * (-30)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": 38, \"c\": -30}", "seed": "1944432952246787938", "semantic_fingerprint": "sha256:9dbdc59bd15eb7e6ced14cb98c9184b0a7e7a047d05a8eec2e0cf3517da94dc1", "generator_version": "3.0"}
{"id": "v3_test_id_00003071", "prompt": "Find x: 8(x - 931) = x - 9", "solution_steps": ["Expand: 8x - 7448 = x - 9", "Subtract x from both sides: 7x - 7448 = -9", "Add 7448 to both sides: 7x = 7439", "Divide both sides by 7: x = 7439/7"], "final_answer": "7439/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 931) = x - 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 931, \"c\": 9}", "seed": "16570329801364160498", "semantic_fingerprint": "sha256:5490502f20417c1f0a9335589a0c16ddea6447cd8f754cff6e75c3c77c4c0ce6", "generator_version": "3.0"}
{"id": "v3_test_id_00003072", "prompt": "Evaluate: 21 + (-61 + (-722))", "solution_steps": ["Add: -61 + (-722) = -783", "Add: 21 + (-783) = -762"], "final_answer": "-762", "answer_type": "integer", "kind": "expression", "math_text": "21 + (-61 + (-722))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": -61, \"c\": -722}", "seed": "6669036744932505471", "semantic_fingerprint": "sha256:1af895e63a4b5b2edae174e5d0d741d4512659412587404c40f8574f2e12da6b", "generator_version": "3.0"}
{"id": "v3_test_id_00003073", "prompt": "Compute: -84 - (-397)", "solution_steps": ["Subtract: -84 - (-397) = 313"], "final_answer": "313", "answer_type": "integer", "kind": "expression", "math_text": "-84 - (-397)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": -397}", "seed": "11429547125763699775", "semantic_fingerprint": "sha256:da661921b25c7d533065f458b05e2353a342599584dbb59ecc47d4cae0a6c436", "generator_version": "3.0"}
{"id": "v3_test_id_00003074", "prompt": "What value of x satisfies 8(x + 80) = 6(x + 6) + 572?", "solution_steps": ["Expand: 8x + 640 = 6(x + 6) + 572", "Expand: 8x + 640 = 6x + 36 + 572", "Combine constants: 8x + 640 = 6x + 608", "Subtract 6x from both sides: 2x + 640 = 608", "Subtract 640 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 + 80) = 6(x + 6) + 572", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 80, \"c\": 6, \"d\": 6, \"f\": 572, \"x\": -16}", "seed": "2996142290929778769", "semantic_fingerprint": "sha256:f5fad78962fd178ba8f78c7c281e6b76a5d1a66d86321fdcd7aaa5f3560ff681", "generator_version": "3.0"}
{"id": "v3_test_id_00003075", "prompt": "What is -73 + 19 / (-32)?", "solution_steps": ["Divide: 19 / (-32) = -19/32", "Add: -73 + (-19/32) = -2355/32"], "final_answer": "-2355/32", "answer_type": "rational", "kind": "expression", "math_text": "-73 + 19 / (-32)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": 19, \"c\": -32}", "seed": "4698899268936715413", "semantic_fingerprint": "sha256:982ffa08d59440e33b03ad6af932822f3dae3c73fcc20fca8f7fdd167f039d32", "generator_version": "3.0"}
{"id": "v3_test_id_00003076", "prompt": "What is -781 * (-5)?", "solution_steps": ["Multiply: -781 * (-5) = 3905"], "final_answer": "3905", "answer_type": "integer", "kind": "expression", "math_text": "-781 * (-5)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -781, \"b\": -5}", "seed": "1232618658537276782", "semantic_fingerprint": "sha256:1e88ea92ac9b01be468ba50ccc1f92e46aaccafe7b365100f70b849e64d2fb6d", "generator_version": "3.0"}
{"id": "v3_test_id_00003077", "prompt": "What is (598 - (7 + 409 - 8) / (-1)) * (-61)?", "solution_steps": ["Add: 7 + 409 = 416", "Subtract: 416 - 8 = 408", "Divide: 408 / (-1) = -408", "Subtract: 598 - (-408) = 1006", "Multiply: 1006 * (-61) = -61366"], "final_answer": "-61366", "answer_type": "integer", "kind": "expression", "math_text": "(598 - (7 + 409 - 8) / (-1)) * (-61)", "variable": null, "family": "expression_5op", "shape": "(* (- n (/ (- (+ n n) n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 598, \"b\": 7, \"c\": 409, \"d\": 8, \"e\": -1, \"f\": -61}", "seed": "10500461667510053906", "semantic_fingerprint": "sha256:a41971ed99d3742ae81eaee254a90aec1d597917f8d917c7b530da81ad9a1926", "generator_version": "3.0"}
{"id": "v3_test_id_00003078", "prompt": "Solve the equation x + 56 = -3x for x.", "solution_steps": ["Add 3x to both sides: 4x + 56 = 0", "Subtract 56 from both sides: 4x = -56", "Divide both sides by 4: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 56 = -3x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"c\": 56, \"x\": -14}", "seed": "5108160192593637102", "semantic_fingerprint": "sha256:9c794e644fac165ad4b55001d7ea08e3ee1a7f6613a2abe2fa49107554411d32", "generator_version": "3.0"}
{"id": "v3_test_id_00003079", "prompt": "Solve the equation -11x = -8x - 42 for x.", "solution_steps": ["Add 8x to both sides: -3x = -42", "Divide both sides by -3: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x = -8x - 42", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": -8, \"d\": -42, \"x\": 14}", "seed": "9118794924260940358", "semantic_fingerprint": "sha256:2fa628d912e411f4ccecc9eeaa62ffd576f2836570f7d19a44252913070970d0", "generator_version": "3.0"}
{"id": "v3_test_id_00003080", "prompt": "What is 4 + (-3) + (-15) / (-271) + (-441)?", "solution_steps": ["Add: 4 + (-3) = 1", "Divide: -15 / (-271) = 15/271", "Add: 1 + 15/271 = 286/271", "Add: 286/271 + (-441) = -119225/271"], "final_answer": "-119225/271", "answer_type": "rational", "kind": "expression", "math_text": "4 + (-3) + (-15) / (-271) + (-441)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -3, \"c\": -15, \"d\": -271, \"e\": -441}", "seed": "18322151278454110274", "semantic_fingerprint": "sha256:e454581fca08117a08f57b938a1b494747db4c51ea3ff70dfbf1154b23f67d49", "generator_version": "3.0"}
{"id": "v3_test_id_00003081", "prompt": "Calculate: -19 * 50 - 17 * (-46 * 84)", "solution_steps": ["Multiply: -19 * 50 = -950", "Multiply: -46 * 84 = -3864", "Multiply: 17 * (-3864) = -65688", "Subtract: -950 - (-65688) = 64738"], "final_answer": "64738", "answer_type": "integer", "kind": "expression", "math_text": "-19 * 50 - 17 * (-46 * 84)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": 50, \"c\": 17, \"d\": -46, \"e\": 84}", "seed": "6475416884848460954", "semantic_fingerprint": "sha256:fc8972d32c5b275108f508891fd3f551b2f3efdfa33f4c4db1829c7c666e8bab", "generator_version": "3.0"}
{"id": "v3_test_id_00003082", "prompt": "What value of x satisfies 5(x - 26) + 6 = 10(x - 4) - 44?", "solution_steps": ["Expand: 5x - 130 + 6 = 10(x - 4) - 44", "Expand: 5x - 130 + 6 = 10x - 40 - 44", "Combine constants: 5x - 124 = 10x - 40 - 44", "Combine constants: 5x - 124 = 10x - 84", "Subtract 10x from both sides: -5x - 124 = -84", "Add 124 to both sides: -5x = 40", "Divide both sides by -5: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 26) + 6 = 10(x - 4) - 44", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 26, \"c\": 6, \"d\": 10, \"e\": 4, \"g\": -44, \"x\": -8}", "seed": "4703652616254181625", "semantic_fingerprint": "sha256:36887f8812223a5227395065fd5b036054bb80ca1962529d809080b4d177479d", "generator_version": "3.0"}
{"id": "v3_test_id_00003083", "prompt": "Solve the equation 12x + 6 = 11x - 12 for x.", "solution_steps": ["Subtract 11x from both sides: x + 6 = -12", "Subtract 6 from both sides: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 6 = 11x - 12", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 6, \"c\": 11, \"e\": -12, \"x\": -18}", "seed": "9024921540470939392", "semantic_fingerprint": "sha256:b22410765230014a1341d24b2fcf98fc3b523124f80fc368f8283e9abdf2c378", "generator_version": "3.0"}
{"id": "v3_test_id_00003084", "prompt": "Calculate: -62 - (-8)", "solution_steps": ["Subtract: -62 - (-8) = -54"], "final_answer": "-54", "answer_type": "integer", "kind": "expression", "math_text": "-62 - (-8)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": -8}", "seed": "1363781590643777120", "semantic_fingerprint": "sha256:3e4177094b8436e579825094f4c8d7c7b18dd66246ee20a0b9a46fcbae120e8f", "generator_version": "3.0"}
{"id": "v3_test_id_00003085", "prompt": "Find x: 12x + 4 = -11(x + 83) - 2", "solution_steps": ["Expand: 12x + 4 = -11x - 913 - 2", "Combine constants: 12x + 4 = -11x - 915", "Add 11x to both sides: 23x + 4 = -915", "Subtract 4 from both sides: 23x = -919", "Divide both sides by 23: x = -919/23"], "final_answer": "-919/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x + 4 = -11(x + 83) - 2", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"c\": -11, \"d\": 83, \"e\": 2}", "seed": "4726009290669527887", "semantic_fingerprint": "sha256:b4aed5c7a53f53b9b2c94b97d8742f330904898836f52d0fe96e92ee1a5a35a9", "generator_version": "3.0"}
{"id": "v3_test_id_00003086", "prompt": "Evaluate: -90 - 71 - 7", "solution_steps": ["Subtract: -90 - 71 = -161", "Subtract: -161 - 7 = -168"], "final_answer": "-168", "answer_type": "integer", "kind": "expression", "math_text": "-90 - 71 - 7", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": 71, \"c\": 7}", "seed": "8894756119751034742", "semantic_fingerprint": "sha256:8b2bfc4c688128e942867868ecc21501bcd74384ef9134744e16e967971eb6d0", "generator_version": "3.0"}
{"id": "v3_test_id_00003087", "prompt": "Solve for x: -12x + 12 = 0", "solution_steps": ["Subtract 12 from both sides: -12x = -12", "Divide both sides by -12: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x + 12 = 0", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 12, \"d\": 0, \"x\": 1}", "seed": "9591327631980377510", "semantic_fingerprint": "sha256:777566798c72d7d5803d54293a5e12709a144e74b4de5754bd5a5d0786768253", "generator_version": "3.0"}
{"id": "v3_test_id_00003088", "prompt": "Evaluate: 661 - 629", "solution_steps": ["Subtract: 661 - 629 = 32"], "final_answer": "32", "answer_type": "integer", "kind": "expression", "math_text": "661 - 629", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 661, \"b\": 629}", "seed": "15494885520476170928", "semantic_fingerprint": "sha256:c42f8110a16a260e782a463274b70b588d96006e05b479503fe8cdf04d6dcb2e", "generator_version": "3.0"}
{"id": "v3_test_id_00003089", "prompt": "Find x: 4(x + 2) = -7(x + 74)", "solution_steps": ["Expand: 4x + 8 = -7(x + 74)", "Expand: 4x + 8 = -7x - 518", "Add 7x to both sides: 11x + 8 = -518", "Subtract 8 from both sides: 11x = -526", "Divide both sides by 11: x = -526/11"], "final_answer": "-526/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 2) = -7(x + 74)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 2, \"c\": -7, \"d\": 74}", "seed": "10487287053115067086", "semantic_fingerprint": "sha256:4ee416520d49340ddb3bfdcd627208a0aafae9e022172e4c7fc491e2fe307254", "generator_version": "3.0"}
{"id": "v3_test_id_00003090", "prompt": "Find x: 8(x - 447) = 5(x - 2) + 7", "solution_steps": ["Expand: 8x - 3576 = 5(x - 2) + 7", "Expand: 8x - 3576 = 5x - 10 + 7", "Combine constants: 8x - 3576 = 5x - 3", "Subtract 5x from both sides: 3x - 3576 = -3", "Add 3576 to both sides: 3x = 3573", "Divide both sides by 3: x = 1191"], "final_answer": "1191", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 447) = 5(x - 2) + 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 447, \"c\": 5, \"d\": 2, \"e\": 7}", "seed": "9851325205484128182", "semantic_fingerprint": "sha256:683b7995fc2ed9228b17a9a10f2372dd63154386093e6e4d4b71f3c9e9fb5411", "generator_version": "3.0"}
{"id": "v3_test_id_00003091", "prompt": "Compute: -4 * (-265) - (-264 * (-8 / (-83)) - 9)", "solution_steps": ["Multiply: -4 * (-265) = 1060", "Divide: -8 / (-83) = 8/83", "Multiply: -264 * (8/83) = -2112/83", "Subtract: -2112/83 - 9 = -2859/83", "Subtract: 1060 - (-2859/83) = 90839/83"], "final_answer": "90839/83", "answer_type": "rational", "kind": "expression", "math_text": "-4 * (-265) - (-264 * (-8 / (-83)) - 9)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (- (* n (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -265, \"c\": -264, \"d\": -8, \"e\": -83, \"f\": 9}", "seed": "2791704138157431038", "semantic_fingerprint": "sha256:dc84f876ed9a203482f721ee18bf7fb2eee80032f8dbf793471569cb53b5862d", "generator_version": "3.0"}
{"id": "v3_test_id_00003092", "prompt": "Solve for x: -10(x - 3) - 63 = x", "solution_steps": ["Expand: -10x + 30 - 63 = x", "Combine constants: -10x - 33 = x", "Subtract x from both sides: -11x - 33 = 0", "Add 33 to both sides: -11x = 33", "Divide both sides by -11: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 3) - 63 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 3, \"d\": -63, \"x\": -3}", "seed": "12693672906091385876", "semantic_fingerprint": "sha256:1a0579c644eecb23617e95724e0c4f1bb3a06b7ef412c38b49e730f698583940", "generator_version": "3.0"}
{"id": "v3_test_id_00003093", "prompt": "Solve the equation -12(x + 109) = 8x + 8 for x.", "solution_steps": ["Expand: -12x - 1308 = 8x + 8", "Subtract 8x from both sides: -20x - 1308 = 8", "Add 1308 to both sides: -20x = 1316", "Divide both sides by -20: x = -329/5"], "final_answer": "-329/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 109) = 8x + 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 109, \"c\": 8, \"d\": 8}", "seed": "5295235864382022173", "semantic_fingerprint": "sha256:9c04bc2a3c0145b658bd9653509ca4822dbd1fe29b43ce607d0c94972516ef43", "generator_version": "3.0"}
{"id": "v3_test_id_00003094", "prompt": "Solve the equation x + 96 = 6(x - 4) + 26 for x.", "solution_steps": ["Expand: x + 96 = 6x - 24 + 26", "Combine constants: x + 96 = 6x + 2", "Subtract 6x from both sides: -5x + 96 = 2", "Subtract 96 from both sides: -5x = -94", "Divide both sides by -5: x = 94/5"], "final_answer": "94/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 96 = 6(x - 4) + 26", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": 6, \"c\": 4, \"d\": 26}", "seed": "9441558926267113757", "semantic_fingerprint": "sha256:4d69b1daf1c787bcb146f61f175ddeef96893f48da416f66d638ce969ccbb9a7", "generator_version": "3.0"}
{"id": "v3_test_id_00003095", "prompt": "What is -18 * (0 - 6 / 81 + 323 * (-1))?", "solution_steps": ["Divide: 6 / 81 = 2/27", "Subtract: 0 - 2/27 = -2/27", "Multiply: 323 * (-1) = -323", "Add: -2/27 + (-323) = -8723/27", "Multiply: -18 * (-8723/27) = 17446/3"], "final_answer": "17446/3", "answer_type": "rational", "kind": "expression", "math_text": "-18 * (0 - 6 / 81 + 323 * (-1))", "variable": null, "family": "expression_5op", "shape": "(* n (+ (- n (/ n n)) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": 0, \"c\": 6, \"d\": 81, \"e\": 323, \"f\": -1}", "seed": "3408747292779417339", "semantic_fingerprint": "sha256:647793545fe5391e6cd3ce455128a91f5719a046299c8ba6404f63c755ac8ea5", "generator_version": "3.0"}
{"id": "v3_test_id_00003096", "prompt": "Find x: 6(x - 8) + 53 = x", "solution_steps": ["Expand: 6x - 48 + 53 = x", "Combine constants: 6x + 5 = x", "Subtract x from both sides: 5x + 5 = 0", "Subtract 5 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 - 8) + 53 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"d\": 53, \"x\": -1}", "seed": "11877824104905159563", "semantic_fingerprint": "sha256:0a01dc839d6a37fc7f6f2dd0c2e32e43e8c98673c48304650eb7344e1b357bc7", "generator_version": "3.0"}
{"id": "v3_test_id_00003097", "prompt": "Compute: 69 - (-357) - 654 - (-17)", "solution_steps": ["Subtract: 69 - (-357) = 426", "Subtract: 426 - 654 = -228", "Subtract: -228 - (-17) = -211"], "final_answer": "-211", "answer_type": "integer", "kind": "expression", "math_text": "69 - (-357) - 654 - (-17)", "variable": null, "family": "expression_3op", "shape": "(- (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": -357, \"c\": 654, \"d\": -17}", "seed": "15514805225128453381", "semantic_fingerprint": "sha256:66bc76ca2fde8198ca927e8ec40bbe2c4f134a2a13f04560ac9157b9b371ea67", "generator_version": "3.0"}
{"id": "v3_test_id_00003098", "prompt": "Solve the equation 2(x + 65) = x + 117 for x.", "solution_steps": ["Expand: 2x + 130 = x + 117", "Subtract x from both sides: x + 130 = 117", "Subtract 130 from both sides: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 65) = x + 117", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 65, \"d\": 117, \"x\": -13}", "seed": "3305524056872910564", "semantic_fingerprint": "sha256:d78e133c1506a84fb01c66c6fe3a4b8e68aa2c097d64cef52a217aaff65c428c", "generator_version": "3.0"}
{"id": "v3_test_id_00003099", "prompt": "What is 780 + (3 - 9) + (-4) / 93?", "solution_steps": ["Subtract: 3 - 9 = -6", "Add: 780 + (-6) = 774", "Divide: -4 / 93 = -4/93", "Add: 774 + (-4/93) = 71978/93"], "final_answer": "71978/93", "answer_type": "rational", "kind": "expression", "math_text": "780 + (3 - 9) + (-4) / 93", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 780, \"b\": 3, \"c\": 9, \"d\": -4, \"e\": 93}", "seed": "13185087902703125896", "semantic_fingerprint": "sha256:9be49cd2a8165d646c756078ab384de884f0825772c5a89a5927714657efb932", "generator_version": "3.0"}
{"id": "v3_test_id_00003100", "prompt": "Calculate: -75 + 20", "solution_steps": ["Add: -75 + 20 = -55"], "final_answer": "-55", "answer_type": "integer", "kind": "expression", "math_text": "-75 + 20", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": 20}", "seed": "7158115167106496", "semantic_fingerprint": "sha256:da686312708628e4db1b26658b0526f4d1661d6a4fd9e6077a8e0a23904c0736", "generator_version": "3.0"}
{"id": "v3_test_id_00003101", "prompt": "Evaluate: 82 * 844 / 84 - (-166)", "solution_steps": ["Multiply: 82 * 844 = 69208", "Divide: 69208 / 84 = 17302/21", "Subtract: 17302/21 - (-166) = 20788/21"], "final_answer": "20788/21", "answer_type": "rational", "kind": "expression", "math_text": "82 * 844 / 84 - (-166)", "variable": null, "family": "expression_3op", "shape": "(- (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": 844, \"c\": 84, \"d\": -166}", "seed": "15713439264624828959", "semantic_fingerprint": "sha256:e7e9392e1931ec386823b1408b26d22a6a17571646641a9676b509efc5de1d37", "generator_version": "3.0"}
{"id": "v3_test_id_00003102", "prompt": "Solve for x: 5(x + 3) = 4x", "solution_steps": ["Expand: 5x + 15 = 4x", "Subtract 4x from both sides: x + 15 = 0", "Subtract 15 from both sides: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 3) = 4x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 4}", "seed": "14668492757961134334", "semantic_fingerprint": "sha256:e8a8bc54ba857c52a3d6acc983dbbc4c3a57fc10768b3d54876997528b845522", "generator_version": "3.0"}
{"id": "v3_test_id_00003103", "prompt": "Solve the equation x = -4(x - 49) for x.", "solution_steps": ["Expand: x = -4x + 196", "Add 4x to both sides: 5x = 196", "Divide both sides by 5: x = 196/5"], "final_answer": "196/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -4(x - 49)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 49}", "seed": "13199742117157827192", "semantic_fingerprint": "sha256:4f03e69f24160365417955443a5ded29e5900e2c2b9ae3d33e899d07dd4f4618", "generator_version": "3.0"}
{"id": "v3_test_id_00003104", "prompt": "Calculate: -91 * (2 + (-85) / 78)", "solution_steps": ["Divide: -85 / 78 = -85/78", "Add: 2 + (-85/78) = 71/78", "Multiply: -91 * (71/78) = -497/6"], "final_answer": "-497/6", "answer_type": "rational", "kind": "expression", "math_text": "-91 * (2 + (-85) / 78)", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": 2, \"c\": -85, \"d\": 78}", "seed": "15960036357412378411", "semantic_fingerprint": "sha256:e4285eafd9e9d2e8e5686a229b9ce5e01f175aedece4c0c140745d441eb7cb9b", "generator_version": "3.0"}
{"id": "v3_test_id_00003105", "prompt": "Calculate: -28 + 5 / (-6)", "solution_steps": ["Divide: 5 / (-6) = -5/6", "Add: -28 + (-5/6) = -173/6"], "final_answer": "-173/6", "answer_type": "rational", "kind": "expression", "math_text": "-28 + 5 / (-6)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": 5, \"c\": -6}", "seed": "9645945961131632348", "semantic_fingerprint": "sha256:6eac523ad88baeab8be8561196e04f8da86f12d089eefd56ca1979cfd1ced471", "generator_version": "3.0"}
{"id": "v3_test_id_00003106", "prompt": "What is -57 * (-33) - 0 * (-93) / (-971)?", "solution_steps": ["Multiply: -57 * (-33) = 1881", "Multiply: 0 * (-93) = 0", "Divide: 0 / (-971) = 0", "Subtract: 1881 - 0 = 1881"], "final_answer": "1881", "answer_type": "integer", "kind": "expression", "math_text": "-57 * (-33) - 0 * (-93) / (-971)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": -33, \"c\": 0, \"d\": -93, \"e\": -971}", "seed": "18093613102393387900", "semantic_fingerprint": "sha256:270cf664468c513c106cd64626bc5ff22d3ecbba2b06bad6ee4cff26f8444f3b", "generator_version": "3.0"}
{"id": "v3_test_id_00003107", "prompt": "Evaluate: 66 / (-5 * (-9 * 6))", "solution_steps": ["Multiply: -9 * 6 = -54", "Multiply: -5 * (-54) = 270", "Divide: 66 / 270 = 11/45"], "final_answer": "11/45", "answer_type": "rational", "kind": "expression", "math_text": "66 / (-5 * (-9 * 6))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -5, \"c\": -9, \"d\": 6}", "seed": "14786991268302073232", "semantic_fingerprint": "sha256:ffadde81e4bf42528c8036275f843a9314d6303f0a1d2b032ed8c6bc7df6572b", "generator_version": "3.0"}
{"id": "v3_test_id_00003108", "prompt": "What is -8 + 0?", "solution_steps": ["Add: -8 + 0 = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "expression", "math_text": "-8 + 0", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 0}", "seed": "14104970263227637913", "semantic_fingerprint": "sha256:84564055c704d63e1169e0a5bfea69867592b3995479a1962fabfb1f2aded3ff", "generator_version": "3.0"}
{"id": "v3_test_id_00003109", "prompt": "What is -41 / (8 * (-31))?", "solution_steps": ["Multiply: 8 * (-31) = -248", "Divide: -41 / (-248) = 41/248"], "final_answer": "41/248", "answer_type": "rational", "kind": "expression", "math_text": "-41 / (8 * (-31))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": 8, \"c\": -31}", "seed": "2741936381288470079", "semantic_fingerprint": "sha256:d9f6e8c17c1c6c0c959b78d36e2a079fe14515832389cbf510b24752a0d16356", "generator_version": "3.0"}
{"id": "v3_test_id_00003110", "prompt": "Compute: -9 * (-846 / 6)", "solution_steps": ["Divide: -846 / 6 = -141", "Multiply: -9 * (-141) = 1269"], "final_answer": "1269", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (-846 / 6)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -846, \"c\": 6}", "seed": "17749585171063530449", "semantic_fingerprint": "sha256:b4c4b51bda41701ab0c8d9522a410fb0bcc6c1cd4c11288d5121a321ac42e2f0", "generator_version": "3.0"}
{"id": "v3_test_id_00003111", "prompt": "Solve the equation -5(x + 9) = 2(x + 9) - 28 for x.", "solution_steps": ["Expand: -5x - 45 = 2(x + 9) - 28", "Expand: -5x - 45 = 2x + 18 - 28", "Combine constants: -5x - 45 = 2x - 10", "Subtract 2x from both sides: -7x - 45 = -10", "Add 45 to both sides: -7x = 35", "Divide both sides by -7: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 9) = 2(x + 9) - 28", "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\": 2, \"d\": 9, \"f\": -28, \"x\": -5}", "seed": "9638771774261357530", "semantic_fingerprint": "sha256:b649cf3c0fec440fc10ea451cbcade0e06f0b0a0b8822c2afe5b9aab5bf45545", "generator_version": "3.0"}
{"id": "v3_test_id_00003112", "prompt": "What is 4 + (-11 + (-84) / 2)?", "solution_steps": ["Divide: -84 / 2 = -42", "Add: -11 + (-42) = -53", "Add: 4 + (-53) = -49"], "final_answer": "-49", "answer_type": "integer", "kind": "expression", "math_text": "4 + (-11 + (-84) / 2)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -11, \"c\": -84, \"d\": 2}", "seed": "5043164518594323671", "semantic_fingerprint": "sha256:bda8cd576749ee99e00a5ab66276f3fcab08c336d81bc5ea384527236d9f3d6d", "generator_version": "3.0"}
{"id": "v3_test_id_00003113", "prompt": "Evaluate: 91 - (-49 - (-725)) + (-663)", "solution_steps": ["Subtract: -49 - (-725) = 676", "Subtract: 91 - 676 = -585", "Add: -585 + (-663) = -1248"], "final_answer": "-1248", "answer_type": "integer", "kind": "expression", "math_text": "91 - (-49 - (-725)) + (-663)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": -49, \"c\": -725, \"d\": -663}", "seed": "18151484997204171260", "semantic_fingerprint": "sha256:06f1255a564a34d442fecb0f8298f22776c7f9bcd70b07499cfdce341859ea5a", "generator_version": "3.0"}
{"id": "v3_test_id_00003114", "prompt": "Evaluate: -94 + (-7 + 7)", "solution_steps": ["Add: -7 + 7 = 0", "Add: -94 + 0 = -94"], "final_answer": "-94", "answer_type": "integer", "kind": "expression", "math_text": "-94 + (-7 + 7)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": -7, \"c\": 7}", "seed": "17784127258654461364", "semantic_fingerprint": "sha256:43980b424a0e529cfa05dbab5e8bd1f1f9a6f1087b8285a896606082e695ba05", "generator_version": "3.0"}
{"id": "v3_test_id_00003115", "prompt": "Calculate: -682 / (-24) * (-628 / (-328)) - 64", "solution_steps": ["Divide: -682 / (-24) = 341/12", "Divide: -628 / (-328) = 157/82", "Multiply: (341/12) * (157/82) = 53537/984", "Subtract: 53537/984 - 64 = -9439/984"], "final_answer": "-9439/984", "answer_type": "rational", "kind": "expression", "math_text": "-682 / (-24) * (-628 / (-328)) - 64", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -682, \"b\": -24, \"c\": -628, \"d\": -328, \"e\": 64}", "seed": "12975703431844920660", "semantic_fingerprint": "sha256:d53404473090db0434ccc949318c030524e400255c432e9295aa374dc68b6a49", "generator_version": "3.0"}
{"id": "v3_test_id_00003116", "prompt": "Evaluate: 793 * (9 - (-88 - 6)) - (-61) * (-60)", "solution_steps": ["Subtract: -88 - 6 = -94", "Subtract: 9 - (-94) = 103", "Multiply: 793 * 103 = 81679", "Multiply: -61 * (-60) = 3660", "Subtract: 81679 - 3660 = 78019"], "final_answer": "78019", "answer_type": "integer", "kind": "expression", "math_text": "793 * (9 - (-88 - 6)) - (-61) * (-60)", "variable": null, "family": "expression_5op", "shape": "(- (* n (- n (- n n))) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 793, \"b\": 9, \"c\": -88, \"d\": 6, \"e\": -61, \"f\": -60}", "seed": "13981033645693736421", "semantic_fingerprint": "sha256:f8761484a7bfa3bf1bc8826d13924187c44585323322980937496ecc04c121c8", "generator_version": "3.0"}
{"id": "v3_test_id_00003117", "prompt": "Solve for x: 7(x + 6) + 60 = 6x + 94", "solution_steps": ["Expand: 7x + 42 + 60 = 6x + 94", "Combine constants: 7x + 102 = 6x + 94", "Subtract 6x from both sides: x + 102 = 94", "Subtract 102 from both sides: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 6) + 60 = 6x + 94", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": 60, \"d\": 6, \"f\": 94, \"x\": -8}", "seed": "17988797750375103319", "semantic_fingerprint": "sha256:185b5e1dd89b8ac0f9ad2543e715430976632c43db2a3439032fe9cd4c947201", "generator_version": "3.0"}
{"id": "v3_test_id_00003118", "prompt": "Evaluate: -43 * 8 / (-66 / 4)", "solution_steps": ["Multiply: -43 * 8 = -344", "Divide: -66 / 4 = -33/2", "Divide: -344 / (-33/2) = 688/33"], "final_answer": "688/33", "answer_type": "rational", "kind": "expression", "math_text": "-43 * 8 / (-66 / 4)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": 8, \"c\": -66, \"d\": 4}", "seed": "13296701645678938841", "semantic_fingerprint": "sha256:2b7513b96ac6d634bb72d3b39c2de5510d866aaae476dd7b97e1400910a212a2", "generator_version": "3.0"}
{"id": "v3_test_id_00003119", "prompt": "Calculate: 11 * (-1 * (-87 + 46)) + (-9) + (-9)", "solution_steps": ["Add: -87 + 46 = -41", "Multiply: -1 * (-41) = 41", "Multiply: 11 * 41 = 451", "Add: 451 + (-9) = 442", "Add: 442 + (-9) = 433"], "final_answer": "433", "answer_type": "integer", "kind": "expression", "math_text": "11 * (-1 * (-87 + 46)) + (-9) + (-9)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* n (* n (+ n n))) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -1, \"c\": -87, \"d\": 46, \"e\": -9, \"f\": -9}", "seed": "9369527729313459216", "semantic_fingerprint": "sha256:bdd553b0a086fcbd166bff38c53a2486d5f2c5ba55558a0bbe9aa985962fbed0", "generator_version": "3.0"}
{"id": "v3_test_id_00003120", "prompt": "Calculate: 24 * (-330 / 4) - 84 - 6", "solution_steps": ["Divide: -330 / 4 = -165/2", "Multiply: 24 * (-165/2) = -1980", "Subtract: -1980 - 84 = -2064", "Subtract: -2064 - 6 = -2070"], "final_answer": "-2070", "answer_type": "integer", "kind": "expression", "math_text": "24 * (-330 / 4) - 84 - 6", "variable": null, "family": "expression_4op", "shape": "(- (- (* n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": -330, \"c\": 4, \"d\": 84, \"e\": 6}", "seed": "17406408378947719209", "semantic_fingerprint": "sha256:859377ca8102ddb0c8b616ca5ed8d9dea5a173f9d123c6905f10cd2d75ca28a9", "generator_version": "3.0"}
{"id": "v3_test_id_00003121", "prompt": "Compute: (85 + (-1 - (-319))) / 20", "solution_steps": ["Subtract: -1 - (-319) = 318", "Add: 85 + 318 = 403", "Divide: 403 / 20 = 403/20"], "final_answer": "403/20", "answer_type": "rational", "kind": "expression", "math_text": "(85 + (-1 - (-319))) / 20", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": -1, \"c\": -319, \"d\": 20}", "seed": "9946841632827618538", "semantic_fingerprint": "sha256:5d1ddae831de0452255fe51308a334519093b961d9a514b7984a35fcbd35bcb3", "generator_version": "3.0"}
{"id": "v3_test_id_00003122", "prompt": "What is (-27 + (-223) - (-8)) * 22?", "solution_steps": ["Add: -27 + (-223) = -250", "Subtract: -250 - (-8) = -242", "Multiply: -242 * 22 = -5324"], "final_answer": "-5324", "answer_type": "integer", "kind": "expression", "math_text": "(-27 + (-223) - (-8)) * 22", "variable": null, "family": "expression_3op", "shape": "(* (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": -223, \"c\": -8, \"d\": 22}", "seed": "16433894681729475024", "semantic_fingerprint": "sha256:d6688bc356eac8c7a90a2f21fa924ae0ec4649c2f328cdf601b131a8dc5d9717", "generator_version": "3.0"}
{"id": "v3_test_id_00003123", "prompt": "What value of x satisfies 3(x + 97) + 3 = x - 61?", "solution_steps": ["Expand: 3x + 291 + 3 = x - 61", "Combine constants: 3x + 294 = x - 61", "Subtract x from both sides: 2x + 294 = -61", "Subtract 294 from both sides: 2x = -355", "Divide both sides by 2: x = -355/2"], "final_answer": "-355/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 97) + 3 = x - 61", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 97, \"c\": 3, \"d\": 61}", "seed": "15624497035082205373", "semantic_fingerprint": "sha256:fc0213b60045fa7b8f721b1fccdea753018d99a06882ee45aef91b96c2ec309b", "generator_version": "3.0"}
{"id": "v3_test_id_00003124", "prompt": "Solve for x: x = 8x + 21", "solution_steps": ["Subtract 8x from both sides: -7x = 21", "Divide both sides by -7: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 8x + 21", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"c\": 21, \"x\": -3}", "seed": "12633661664561982995", "semantic_fingerprint": "sha256:ee3b0f4a63be72bbb5affc915aa5a492c3faaa39d0c089cf11bd58bb1f573c7d", "generator_version": "3.0"}
{"id": "v3_test_id_00003125", "prompt": "Compute: -959 * (-594) - (3 - 0 - 47)", "solution_steps": ["Multiply: -959 * (-594) = 569646", "Subtract: 3 - 0 = 3", "Subtract: 3 - 47 = -44", "Subtract: 569646 - (-44) = 569690"], "final_answer": "569690", "answer_type": "integer", "kind": "expression", "math_text": "-959 * (-594) - (3 - 0 - 47)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -959, \"b\": -594, \"c\": 3, \"d\": 0, \"e\": 47}", "seed": "3002119447259539515", "semantic_fingerprint": "sha256:e4ecb5d4155d0af6e937f06b1dc3fd2303b994dbbc96eb7b778cbc784b3c66af", "generator_version": "3.0"}
{"id": "v3_test_id_00003126", "prompt": "Evaluate: -54 - (-99) * (86 / 8) + 8", "solution_steps": ["Divide: 86 / 8 = 43/4", "Multiply: -99 * (43/4) = -4257/4", "Subtract: -54 - (-4257/4) = 4041/4", "Add: 4041/4 + 8 = 4073/4"], "final_answer": "4073/4", "answer_type": "rational", "kind": "expression", "math_text": "-54 - (-99) * (86 / 8) + 8", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": -99, \"c\": 86, \"d\": 8, \"e\": 8}", "seed": "9017706442169202545", "semantic_fingerprint": "sha256:c259366795e8efdf0edaa9363c089873e6d40b8a872f753e441b6b83c0a7f281", "generator_version": "3.0"}
{"id": "v3_test_id_00003127", "prompt": "What value of x satisfies -2(x + 3) + 21 = 35?", "solution_steps": ["Expand: -2x - 6 + 21 = 35", "Combine constants: -2x + 15 = 35", "Subtract 15 from both sides: -2x = 20", "Divide both sides by -2: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 3) + 21 = 35", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 3, \"c\": 21, \"e\": 35, \"x\": -10}", "seed": "4098255208695257765", "semantic_fingerprint": "sha256:928e9d17a9a048555f92232c4a2d3fb8807a844102c4df3f7d5336d96aa38e22", "generator_version": "3.0"}
{"id": "v3_test_id_00003128", "prompt": "Compute: 4 + (-109)", "solution_steps": ["Add: 4 + (-109) = -105"], "final_answer": "-105", "answer_type": "integer", "kind": "expression", "math_text": "4 + (-109)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -109}", "seed": "8807553660720904003", "semantic_fingerprint": "sha256:ccef645abfd4e4447f2e7926e3272bcdb5ab5466bff4c694380d3f7bdb3c0239", "generator_version": "3.0"}
{"id": "v3_test_id_00003129", "prompt": "Evaluate: (89 / 1 - (-11 + (-379))) * (-24)", "solution_steps": ["Divide: 89 / 1 = 89", "Add: -11 + (-379) = -390", "Subtract: 89 - (-390) = 479", "Multiply: 479 * (-24) = -11496"], "final_answer": "-11496", "answer_type": "integer", "kind": "expression", "math_text": "(89 / 1 - (-11 + (-379))) * (-24)", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": 1, \"c\": -11, \"d\": -379, \"e\": -24}", "seed": "15876684907439460865", "semantic_fingerprint": "sha256:022fb52d46dd663de565aa5813a773b6c55daafa6a2270af1f3ed7cf60a8befe", "generator_version": "3.0"}
{"id": "v3_test_id_00003130", "prompt": "Solve for x: x - 60 = -5x - 9", "solution_steps": ["Add 5x to both sides: 6x - 60 = -9", "Add 60 to both sides: 6x = 51", "Divide both sides by 6: x = 17/2"], "final_answer": "17/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 60 = -5x - 9", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": -5, \"c\": 9}", "seed": "14173744351970434434", "semantic_fingerprint": "sha256:6fe681276c7ade7d7abc7925604e2ff294035be4e15ce6bc2ad16fa4935c46db", "generator_version": "3.0"}
{"id": "v3_test_id_00003131", "prompt": "Solve the equation x = 11x + 200 for x.", "solution_steps": ["Subtract 11x from both sides: -10x = 200", "Divide both sides by -10: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 11x + 200", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"c\": 200, \"x\": -20}", "seed": "17701486830694394909", "semantic_fingerprint": "sha256:5841d1f92fcdfb186da13f840121f83b535e2bf2e39382559f5b90f8b167f17b", "generator_version": "3.0"}
{"id": "v3_test_id_00003132", "prompt": "Compute: (76 - 2 + (-99 + 90)) * 226 + 893", "solution_steps": ["Subtract: 76 - 2 = 74", "Add: -99 + 90 = -9", "Add: 74 + (-9) = 65", "Multiply: 65 * 226 = 14690", "Add: 14690 + 893 = 15583"], "final_answer": "15583", "answer_type": "integer", "kind": "expression", "math_text": "(76 - 2 + (-99 + 90)) * 226 + 893", "variable": null, "family": "expression_5op", "shape": "(+ (* (+ (- n n) (+ n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 2, \"c\": -99, \"d\": 90, \"e\": 226, \"f\": 893}", "seed": "1068932272325604507", "semantic_fingerprint": "sha256:53f86c3dcf568593c8dedc548e4e00a97b38a5c3868a888e86d67bb92142772e", "generator_version": "3.0"}
{"id": "v3_test_id_00003133", "prompt": "Evaluate: -7 * (-65 * (-2)) * (4 + 469)", "solution_steps": ["Multiply: -65 * (-2) = 130", "Multiply: -7 * 130 = -910", "Add: 4 + 469 = 473", "Multiply: -910 * 473 = -430430"], "final_answer": "-430430", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (-65 * (-2)) * (4 + 469)", "variable": null, "family": "expression_4op", "shape": "(* (* n (* n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -65, \"c\": -2, \"d\": 4, \"e\": 469}", "seed": "7154438411599829628", "semantic_fingerprint": "sha256:5ddc83548af305a48058bb21b137e34acd3ee16014884d7eb8edda0c3c87839d", "generator_version": "3.0"}
{"id": "v3_test_id_00003134", "prompt": "Solve for x: 8(x + 23) = x - 61", "solution_steps": ["Expand: 8x + 184 = x - 61", "Subtract x from both sides: 7x + 184 = -61", "Subtract 184 from both sides: 7x = -245", "Divide both sides by 7: x = -35"], "final_answer": "-35", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 23) = x - 61", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 23, \"c\": 61}", "seed": "13445835531902271200", "semantic_fingerprint": "sha256:cc18d929cc03b39da046a7f53cc2758941ad047ea270d9f41ce9c1e21520d4b2", "generator_version": "3.0"}
{"id": "v3_test_id_00003135", "prompt": "Calculate: (-6 + 3) * (-4) + 36", "solution_steps": ["Add: -6 + 3 = -3", "Multiply: -3 * (-4) = 12", "Add: 12 + 36 = 48"], "final_answer": "48", "answer_type": "integer", "kind": "expression", "math_text": "(-6 + 3) * (-4) + 36", "variable": null, "family": "expression_3op", "shape": "(+ (* (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 3, \"c\": -4, \"d\": 36}", "seed": "12201399384604251644", "semantic_fingerprint": "sha256:fec0df017c424013bda23964b11a80500dd335aae03e198a9ec1a3b626397587", "generator_version": "3.0"}
{"id": "v3_test_id_00003136", "prompt": "What is -389 + (911 + (-562)) / 56?", "solution_steps": ["Add: 911 + (-562) = 349", "Divide: 349 / 56 = 349/56", "Add: -389 + 349/56 = -21435/56"], "final_answer": "-21435/56", "answer_type": "rational", "kind": "expression", "math_text": "-389 + (911 + (-562)) / 56", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -389, \"b\": 911, \"c\": -562, \"d\": 56}", "seed": "8099591014082596101", "semantic_fingerprint": "sha256:1540dc129bc8f36c5aa86af8087c5166ca92e579915f3dc49385011f42980a43", "generator_version": "3.0"}
{"id": "v3_test_id_00003137", "prompt": "Evaluate: (-359 + (-3) / (-64)) * (9 / (-2))", "solution_steps": ["Divide: -3 / (-64) = 3/64", "Add: -359 + 3/64 = -22973/64", "Divide: 9 / (-2) = -9/2", "Multiply: (-22973/64) * (-9/2) = 206757/128"], "final_answer": "206757/128", "answer_type": "rational", "kind": "expression", "math_text": "(-359 + (-3) / (-64)) * (9 / (-2))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -359, \"b\": -3, \"c\": -64, \"d\": 9, \"e\": -2}", "seed": "12472357126785858305", "semantic_fingerprint": "sha256:1ded826f72cd1b7a2e9f39a68c48f8334c38ce09e172fd6bcc18bb98475b9f1f", "generator_version": "3.0"}
{"id": "v3_test_id_00003138", "prompt": "What is -30 + (-6) - 47 * (9 - 5)?", "solution_steps": ["Add: -30 + (-6) = -36", "Subtract: 9 - 5 = 4", "Multiply: 47 * 4 = 188", "Subtract: -36 - 188 = -224"], "final_answer": "-224", "answer_type": "integer", "kind": "expression", "math_text": "-30 + (-6) - 47 * (9 - 5)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": -6, \"c\": 47, \"d\": 9, \"e\": 5}", "seed": "2027368798483875137", "semantic_fingerprint": "sha256:72dac6b3f22f177c93966cecf6908026965042705735508ffc011f969fd7364c", "generator_version": "3.0"}
{"id": "v3_test_id_00003139", "prompt": "What is 3 * (-6) - (-11)?", "solution_steps": ["Multiply: 3 * (-6) = -18", "Subtract: -18 - (-11) = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "expression", "math_text": "3 * (-6) - (-11)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -6, \"c\": -11}", "seed": "15916288117896682027", "semantic_fingerprint": "sha256:c1646b5f94562f976ee22fd81d3ca3b891890d4b1ca9370ae81a2f710dab152f", "generator_version": "3.0"}
{"id": "v3_test_id_00003140", "prompt": "What is (3 + 580) * (776 - 2)?", "solution_steps": ["Add: 3 + 580 = 583", "Subtract: 776 - 2 = 774", "Multiply: 583 * 774 = 451242"], "final_answer": "451242", "answer_type": "integer", "kind": "expression", "math_text": "(3 + 580) * (776 - 2)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 580, \"c\": 776, \"d\": 2}", "seed": "842347231561595568", "semantic_fingerprint": "sha256:f85f2c6e90101fc2582fe9ed6d82f97f95aa7be57a3e3e6b8a7c7fce67c5f59b", "generator_version": "3.0"}
{"id": "v3_test_id_00003141", "prompt": "Find x: x + 68 = 7(x + 5) + 33", "solution_steps": ["Expand: x + 68 = 7x + 35 + 33", "Combine constants: x + 68 = 7x + 68", "Subtract 7x from both sides: -6x + 68 = 68", "Subtract 68 from both sides: -6x = 0", "Divide both sides by -6: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 68 = 7(x + 5) + 33", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": 7, \"c\": 5, \"e\": 33, \"x\": 0}", "seed": "909244509662061545", "semantic_fingerprint": "sha256:d1aa40597fa1ebd027529f21d77eb88161c685766bffca093fb9551dbfb036dd", "generator_version": "3.0"}
{"id": "v3_test_id_00003142", "prompt": "What is (-762 + (-63)) * (207 / (-463))?", "solution_steps": ["Add: -762 + (-63) = -825", "Divide: 207 / (-463) = -207/463", "Multiply: -825 * (-207/463) = 170775/463"], "final_answer": "170775/463", "answer_type": "rational", "kind": "expression", "math_text": "(-762 + (-63)) * (207 / (-463))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -762, \"b\": -63, \"c\": 207, \"d\": -463}", "seed": "8534612742017963902", "semantic_fingerprint": "sha256:6a5013340f4d0e16603325cbce4cd2c3159b7473ca5010509d66af51ab0d832a", "generator_version": "3.0"}
{"id": "v3_test_id_00003143", "prompt": "Evaluate: 53 + 34", "solution_steps": ["Add: 53 + 34 = 87"], "final_answer": "87", "answer_type": "integer", "kind": "expression", "math_text": "53 + 34", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": 34}", "seed": "2099403656862312702", "semantic_fingerprint": "sha256:7469d88cf18fd4d9302d12d5fe2563a4119ffac7f4d946a988a5a9e3b3a460c4", "generator_version": "3.0"}
{"id": "v3_test_id_00003144", "prompt": "Find x: 12x = 7(x + 1)", "solution_steps": ["Expand: 12x = 7x + 7", "Subtract 7x from both sides: 5x = 7", "Divide both sides by 5: x = 7/5"], "final_answer": "7/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x = 7(x + 1)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7, \"c\": 1}", "seed": "1924635878657150799", "semantic_fingerprint": "sha256:c61581160a014c765991c370f82550130a8b217d1200d603593b2ab765d96a26", "generator_version": "3.0"}
{"id": "v3_test_id_00003145", "prompt": "Evaluate: -96 + (-34) + 55 * (-616 - 2)", "solution_steps": ["Add: -96 + (-34) = -130", "Subtract: -616 - 2 = -618", "Multiply: 55 * (-618) = -33990", "Add: -130 + (-33990) = -34120"], "final_answer": "-34120", "answer_type": "integer", "kind": "expression", "math_text": "-96 + (-34) + 55 * (-616 - 2)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": -34, \"c\": 55, \"d\": -616, \"e\": 2}", "seed": "1641982398950945008", "semantic_fingerprint": "sha256:5d9d28e283a421e1dca158f8c6067d79f752aef05d9ca59261519b32de14dfc4", "generator_version": "3.0"}
{"id": "v3_test_id_00003146", "prompt": "Solve the equation -5(x - 4) + 3 = x - 43 for x.", "solution_steps": ["Expand: -5x + 20 + 3 = x - 43", "Combine constants: -5x + 23 = x - 43", "Subtract x from both sides: -6x + 23 = -43", "Subtract 23 from both sides: -6x = -66", "Divide both sides by -6: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 4) + 3 = x - 43", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 4, \"c\": 3, \"e\": -43, \"x\": 11}", "seed": "3469766053351091691", "semantic_fingerprint": "sha256:ae7016a4fd6bc4b3bae9682fca6963a5d1ee7a977df303e7de291bf4ebe5f8a2", "generator_version": "3.0"}
{"id": "v3_test_id_00003147", "prompt": "Solve the equation 4(x + 22) = x - 89 for x.", "solution_steps": ["Expand: 4x + 88 = x - 89", "Subtract x from both sides: 3x + 88 = -89", "Subtract 88 from both sides: 3x = -177", "Divide both sides by 3: x = -59"], "final_answer": "-59", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 22) = x - 89", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 22, \"c\": 89}", "seed": "7159733178333569645", "semantic_fingerprint": "sha256:03542045f34b6937f11baca4f4a0ba4f21cde59d1a628491c522821ab365d494", "generator_version": "3.0"}
{"id": "v3_test_id_00003148", "prompt": "Calculate: -78 / (-25 - (-81) - (-15)) * 40", "solution_steps": ["Subtract: -25 - (-81) = 56", "Subtract: 56 - (-15) = 71", "Divide: -78 / 71 = -78/71", "Multiply: (-78/71) * 40 = -3120/71"], "final_answer": "-3120/71", "answer_type": "rational", "kind": "expression", "math_text": "-78 / (-25 - (-81) - (-15)) * 40", "variable": null, "family": "expression_4op", "shape": "(* (/ n (- (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": -25, \"c\": -81, \"d\": -15, \"e\": 40}", "seed": "6980627709298193827", "semantic_fingerprint": "sha256:b691d84c5576906a76b88b167b6ed51f09ca22e119ca6e401109f8f683436890", "generator_version": "3.0"}
{"id": "v3_test_id_00003149", "prompt": "Solve for x: 3(x + 9) + 208 = 11(x + 9)", "solution_steps": ["Expand: 3x + 27 + 208 = 11(x + 9)", "Expand: 3x + 27 + 208 = 11x + 99", "Combine constants: 3x + 235 = 11x + 99", "Subtract 11x from both sides: -8x + 235 = 99", "Subtract 235 from both sides: -8x = -136", "Divide both sides by -8: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 9) + 208 = 11(x + 9)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": 11, \"d\": 9, \"f\": 208, \"x\": 17}", "seed": "15138568487299213559", "semantic_fingerprint": "sha256:9fb8b9dc6b78a6cc9dc3f5209836604310ed73c50d1bd234bbf5c8c84912df48", "generator_version": "3.0"}
{"id": "v3_test_id_00003150", "prompt": "Evaluate: 9 / (83 * 41)", "solution_steps": ["Multiply: 83 * 41 = 3403", "Divide: 9 / 3403 = 9/3403"], "final_answer": "9/3403", "answer_type": "rational", "kind": "expression", "math_text": "9 / (83 * 41)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 83, \"c\": 41}", "seed": "6805734439691893381", "semantic_fingerprint": "sha256:f0a73a53f47328cec25223420f631662723a2f182f33f6ce5c2dbb1ea85a2929", "generator_version": "3.0"}
{"id": "v3_test_id_00003151", "prompt": "Compute: -8 * 4 / (-851) * 773", "solution_steps": ["Multiply: -8 * 4 = -32", "Divide: -32 / (-851) = 32/851", "Multiply: (32/851) * 773 = 24736/851"], "final_answer": "24736/851", "answer_type": "rational", "kind": "expression", "math_text": "-8 * 4 / (-851) * 773", "variable": null, "family": "expression_3op", "shape": "(* (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 4, \"c\": -851, \"d\": 773}", "seed": "17734657905349799429", "semantic_fingerprint": "sha256:ad5d94ea5ae8079bfae527362f9caabc4ac4c665f60337893003a945a4933d2e", "generator_version": "3.0"}
{"id": "v3_test_id_00003152", "prompt": "Calculate: 8 / (-7 - (7 + (-908)) + 68)", "solution_steps": ["Add: 7 + (-908) = -901", "Subtract: -7 - (-901) = 894", "Add: 894 + 68 = 962", "Divide: 8 / 962 = 4/481"], "final_answer": "4/481", "answer_type": "rational", "kind": "expression", "math_text": "8 / (-7 - (7 + (-908)) + 68)", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (- n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -7, \"c\": 7, \"d\": -908, \"e\": 68}", "seed": "2723888992096248499", "semantic_fingerprint": "sha256:60d58e373f3fd7fa6b092276ad973c4bf0849e8497c36ffa7499b3a825d56713", "generator_version": "3.0"}
{"id": "v3_test_id_00003153", "prompt": "Compute: 7 * 552 + (-87) + (-2 - 96 * (-60))", "solution_steps": ["Multiply: 7 * 552 = 3864", "Add: 3864 + (-87) = 3777", "Multiply: 96 * (-60) = -5760", "Subtract: -2 - (-5760) = 5758", "Add: 3777 + 5758 = 9535"], "final_answer": "9535", "answer_type": "integer", "kind": "expression", "math_text": "7 * 552 + (-87) + (-2 - 96 * (-60))", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* n n) n) (- n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 552, \"c\": -87, \"d\": -2, \"e\": 96, \"f\": -60}", "seed": "17305990913226044059", "semantic_fingerprint": "sha256:ab2419bed1b4412bcc415ae049b492e29ccc5cf6a9b154723d09555f9498472d", "generator_version": "3.0"}
{"id": "v3_test_id_00003154", "prompt": "Calculate: -6 + (-45)", "solution_steps": ["Add: -6 + (-45) = -51"], "final_answer": "-51", "answer_type": "integer", "kind": "expression", "math_text": "-6 + (-45)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -45}", "seed": "16149367706119447801", "semantic_fingerprint": "sha256:3b3e97c8b00b61745d28ad7ffa31c7a45b8f611d7d96cfd317d676b641332ee9", "generator_version": "3.0"}
{"id": "v3_test_id_00003155", "prompt": "Find x: 5(x - 52) + 236 = x", "solution_steps": ["Expand: 5x - 260 + 236 = x", "Combine constants: 5x - 24 = x", "Subtract x from both sides: 4x - 24 = 0", "Add 24 to both sides: 4x = 24", "Divide both sides by 4: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 52) + 236 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 52, \"d\": 236, \"x\": 6}", "seed": "5043832056800218138", "semantic_fingerprint": "sha256:079740aeec070a983eee82195a7fc1b6c7989ff5443106db887e797be58b83fd", "generator_version": "3.0"}
{"id": "v3_test_id_00003156", "prompt": "What value of x satisfies -9(x + 5) - 16 = 7(x - 25) + 370?", "solution_steps": ["Expand: -9x - 45 - 16 = 7(x - 25) + 370", "Expand: -9x - 45 - 16 = 7x - 175 + 370", "Combine constants: -9x - 61 = 7x - 175 + 370", "Combine constants: -9x - 61 = 7x + 195", "Subtract 7x from both sides: -16x - 61 = 195", "Add 61 to both sides: -16x = 256", "Divide both sides by -16: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 5) - 16 = 7(x - 25) + 370", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 5, \"c\": 16, \"d\": 7, \"e\": 25, \"g\": 370, \"x\": -16}", "seed": "4717767217502824950", "semantic_fingerprint": "sha256:03dd64fbc164a0fba185c8b17ba04ca37c18a6a5d9fd5e7f9b56c61405cd6b19", "generator_version": "3.0"}
{"id": "v3_test_id_00003157", "prompt": "Calculate: -483 * (-400)", "solution_steps": ["Multiply: -483 * (-400) = 193200"], "final_answer": "193200", "answer_type": "integer", "kind": "expression", "math_text": "-483 * (-400)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -483, \"b\": -400}", "seed": "8836090603949605790", "semantic_fingerprint": "sha256:2f16c17bdd534a90568a4079fe66b8da016398620f654f6374bfa0493e6f3234", "generator_version": "3.0"}
{"id": "v3_test_id_00003158", "prompt": "Find x: 11x = x - 170", "solution_steps": ["Subtract x from both sides: 10x = -170", "Divide both sides by 10: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = x - 170", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"c\": -170, \"x\": -17}", "seed": "8886813884809820659", "semantic_fingerprint": "sha256:242677cdef8c48233551c354a99f6aa1b7892eba68b987f6e0d96b70e3de2ffe", "generator_version": "3.0"}
{"id": "v3_test_id_00003159", "prompt": "Evaluate: -59 / (-2)", "solution_steps": ["Divide: -59 / (-2) = 59/2"], "final_answer": "59/2", "answer_type": "rational", "kind": "expression", "math_text": "-59 / (-2)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": -2}", "seed": "9346397919884504942", "semantic_fingerprint": "sha256:4bb5d8e2b78692caf076cc05e1bedceb6a85c469abe87eebd35dbc072a666994", "generator_version": "3.0"}
{"id": "v3_test_id_00003160", "prompt": "Compute: 2 / (-9 * (-200 - (-96))) * (-18 - (-8))", "solution_steps": ["Subtract: -200 - (-96) = -104", "Multiply: -9 * (-104) = 936", "Divide: 2 / 936 = 1/468", "Subtract: -18 - (-8) = -10", "Multiply: (1/468) * (-10) = -5/234"], "final_answer": "-5/234", "answer_type": "rational", "kind": "expression", "math_text": "2 / (-9 * (-200 - (-96))) * (-18 - (-8))", "variable": null, "family": "expression_5op", "shape": "(* (/ n (* n (- n n))) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -9, \"c\": -200, \"d\": -96, \"e\": -18, \"f\": -8}", "seed": "14831634728906431755", "semantic_fingerprint": "sha256:c17894f9b6d4d047f4af7ba96231700ebe238368e7d3d043df76aba3a2bcc30b", "generator_version": "3.0"}
{"id": "v3_test_id_00003161", "prompt": "Compute: 923 * (7 - 440) / (-124)", "solution_steps": ["Subtract: 7 - 440 = -433", "Multiply: 923 * (-433) = -399659", "Divide: -399659 / (-124) = 399659/124"], "final_answer": "399659/124", "answer_type": "rational", "kind": "expression", "math_text": "923 * (7 - 440) / (-124)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 923, \"b\": 7, \"c\": 440, \"d\": -124}", "seed": "16465498656857315512", "semantic_fingerprint": "sha256:ffec3e8b8517aa9afa094f31349d34ebcb5a4ca0a512148c263abfec452798c8", "generator_version": "3.0"}
{"id": "v3_test_id_00003162", "prompt": "Calculate: -11 - 879", "solution_steps": ["Subtract: -11 - 879 = -890"], "final_answer": "-890", "answer_type": "integer", "kind": "expression", "math_text": "-11 - 879", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 879}", "seed": "16888568811621422958", "semantic_fingerprint": "sha256:63b75cd70cc97e3b6001e10bbc474f3eba6e96684900f8d5620ff4830a3b7648", "generator_version": "3.0"}
{"id": "v3_test_id_00003163", "prompt": "Solve for x: x + 84 = 3x - 7", "solution_steps": ["Subtract 3x from both sides: -2x + 84 = -7", "Subtract 84 from both sides: -2x = -91", "Divide both sides by -2: x = 91/2"], "final_answer": "91/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 84 = 3x - 7", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": 3, \"c\": 7}", "seed": "1976946644237208090", "semantic_fingerprint": "sha256:b4b7f06a63b596b3b68af95bc10f717e6878c6c6aaaeca77452418a25d423f8c", "generator_version": "3.0"}
{"id": "v3_test_id_00003164", "prompt": "Find x: x + 4 = 3x", "solution_steps": ["Subtract 3x from both sides: -2x + 4 = 0", "Subtract 4 from both sides: -2x = -4", "Divide both sides by -2: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4 = 3x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"c\": 4, \"x\": 2}", "seed": "10164741411078299510", "semantic_fingerprint": "sha256:ed36c660a13d513a5174962e96d726578e500028a3a94eb14fe762b0d60144bf", "generator_version": "3.0"}
{"id": "v3_test_id_00003165", "prompt": "Evaluate: 31 / (-1 / 5)", "solution_steps": ["Divide: -1 / 5 = -1/5", "Divide: 31 / (-1/5) = -155"], "final_answer": "-155", "answer_type": "integer", "kind": "expression", "math_text": "31 / (-1 / 5)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": -1, \"c\": 5}", "seed": "1587952743496344912", "semantic_fingerprint": "sha256:a851da5632d2eb0fb9b14071ddc6c096eefef67c18916f1b04fbd69d65a92d96", "generator_version": "3.0"}
{"id": "v3_test_id_00003166", "prompt": "What is -4 * 430?", "solution_steps": ["Multiply: -4 * 430 = -1720"], "final_answer": "-1720", "answer_type": "integer", "kind": "expression", "math_text": "-4 * 430", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 430}", "seed": "2183783585078681069", "semantic_fingerprint": "sha256:9226aa0046f8b6775e418f75e825a450f01f629a0ec59c218ba9f0d6ef069eee", "generator_version": "3.0"}
{"id": "v3_test_id_00003167", "prompt": "Solve the equation 8x = x + 913 for x.", "solution_steps": ["Subtract x from both sides: 7x = 913", "Divide both sides by 7: x = 913/7"], "final_answer": "913/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x = x + 913", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 913}", "seed": "14880355539577500147", "semantic_fingerprint": "sha256:1d98532872e4e847de33a0aa1b685c4c7418050980bb762cbd6c85e491aab682", "generator_version": "3.0"}
{"id": "v3_test_id_00003168", "prompt": "Find x: 2x = -3(x - 8) + 21", "solution_steps": ["Expand: 2x = -3x + 24 + 21", "Combine constants: 2x = -3x + 45", "Add 3x to both sides: 5x = 45", "Divide both sides by 5: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = -3(x - 8) + 21", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -3, \"c\": 8, \"e\": 21, \"x\": 9}", "seed": "13229519786474609159", "semantic_fingerprint": "sha256:e52a84d3ba76ab9b11c76d0ccb4bf6be42fa9deed44528c6ea1bba1565284728", "generator_version": "3.0"}
{"id": "v3_test_id_00003169", "prompt": "Evaluate: 53 + (784 + 99 / 988 + (-56))", "solution_steps": ["Divide: 99 / 988 = 99/988", "Add: 784 + 99/988 = 774691/988", "Add: 774691/988 + (-56) = 719363/988", "Add: 53 + 719363/988 = 771727/988"], "final_answer": "771727/988", "answer_type": "rational", "kind": "expression", "math_text": "53 + (784 + 99 / 988 + (-56))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (+ n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": 784, \"c\": 99, \"d\": 988, \"e\": -56}", "seed": "12562979482082071736", "semantic_fingerprint": "sha256:85e1ce6b1c8fbe42f5d47ae966f292aec3b69653f9f4f8a8b30ec53fe9d59d9c", "generator_version": "3.0"}
{"id": "v3_test_id_00003170", "prompt": "Find x: 11x + 180 = x", "solution_steps": ["Subtract x from both sides: 10x + 180 = 0", "Subtract 180 from both sides: 10x = -180", "Divide both sides by 10: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 180 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"c\": 180, \"x\": -18}", "seed": "11079552375946402339", "semantic_fingerprint": "sha256:f052c489b6848bd743109bb6a6df60c02eb6338bab4a5499343292a8bc631d73", "generator_version": "3.0"}
{"id": "v3_test_id_00003171", "prompt": "What is -81 / 8?", "solution_steps": ["Divide: -81 / 8 = -81/8"], "final_answer": "-81/8", "answer_type": "rational", "kind": "expression", "math_text": "-81 / 8", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": 8}", "seed": "10049713249828185772", "semantic_fingerprint": "sha256:01627a2ecc528387683466a753d73f52be52703f14db23b8ea7efdc6972ea216", "generator_version": "3.0"}
{"id": "v3_test_id_00003172", "prompt": "Evaluate: -89 + (153 + 32) + 406", "solution_steps": ["Add: 153 + 32 = 185", "Add: -89 + 185 = 96", "Add: 96 + 406 = 502"], "final_answer": "502", "answer_type": "integer", "kind": "expression", "math_text": "-89 + (153 + 32) + 406", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -89, \"b\": 153, \"c\": 32, \"d\": 406}", "seed": "14452282888678548659", "semantic_fingerprint": "sha256:67f4457c271e9e873e7b59ed64a7c22d75aa841d62f088c53b133b0fe895ffdc", "generator_version": "3.0"}
{"id": "v3_test_id_00003173", "prompt": "What is 656 - 1?", "solution_steps": ["Subtract: 656 - 1 = 655"], "final_answer": "655", "answer_type": "integer", "kind": "expression", "math_text": "656 - 1", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 656, \"b\": 1}", "seed": "8997667891655851414", "semantic_fingerprint": "sha256:e19712988de6a12a23026b0b3fbd1e9d6c8a78087bb0145482ae91c69954f21f", "generator_version": "3.0"}
{"id": "v3_test_id_00003174", "prompt": "Calculate: (291 + (-73)) * 2 - (-780 + (-24) / (-423))", "solution_steps": ["Add: 291 + (-73) = 218", "Multiply: 218 * 2 = 436", "Divide: -24 / (-423) = 8/141", "Add: -780 + 8/141 = -109972/141", "Subtract: 436 - (-109972/141) = 171448/141"], "final_answer": "171448/141", "answer_type": "rational", "kind": "expression", "math_text": "(291 + (-73)) * 2 - (-780 + (-24) / (-423))", "variable": null, "family": "expression_5op", "shape": "(- (* (+ n n) n) (+ n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 291, \"b\": -73, \"c\": 2, \"d\": -780, \"e\": -24, \"f\": -423}", "seed": "16852104867187586442", "semantic_fingerprint": "sha256:e0a4842555301d1433514e5a239511711cf6a4d9f2c58229a1ff32978d857590", "generator_version": "3.0"}
{"id": "v3_test_id_00003175", "prompt": "Solve the equation 5(x + 7) + 17 = x for x.", "solution_steps": ["Expand: 5x + 35 + 17 = x", "Combine constants: 5x + 52 = x", "Subtract x from both sides: 4x + 52 = 0", "Subtract 52 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 + 7) + 17 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 7, \"d\": 17, \"x\": -13}", "seed": "9641669926287114901", "semantic_fingerprint": "sha256:dd918f3bd76d3936044898f26d613c71f2e1c7528d9dedf77dd3d22a5f5ee0cd", "generator_version": "3.0"}
{"id": "v3_test_id_00003176", "prompt": "Solve for x: 3x - 8 = x + 180", "solution_steps": ["Subtract x from both sides: 2x - 8 = 180", "Add 8 to both sides: 2x = 188", "Divide both sides by 2: x = 94"], "final_answer": "94", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 8 = x + 180", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": 180}", "seed": "14078479584374431962", "semantic_fingerprint": "sha256:f0e8463533810940d17748f27166b6a5689c16a180f1f8bd9cb8f53b8960aade", "generator_version": "3.0"}
{"id": "v3_test_id_00003177", "prompt": "Calculate: -480 - 54", "solution_steps": ["Subtract: -480 - 54 = -534"], "final_answer": "-534", "answer_type": "integer", "kind": "expression", "math_text": "-480 - 54", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -480, \"b\": 54}", "seed": "15465398036277218144", "semantic_fingerprint": "sha256:0121c34d9b95e9595dc67b702220c7b559997b1caa3b680a609063b5d59668c9", "generator_version": "3.0"}
{"id": "v3_test_id_00003178", "prompt": "Solve the equation -12(x + 714) + 7 = -6(x + 99) + 9 for x.", "solution_steps": ["Expand: -12x - 8568 + 7 = -6(x + 99) + 9", "Expand: -12x - 8568 + 7 = -6x - 594 + 9", "Combine constants: -12x - 8561 = -6x - 594 + 9", "Combine constants: -12x - 8561 = -6x - 585", "Add 6x to both sides: -6x - 8561 = -585", "Add 8561 to both sides: -6x = 7976", "Divide both sides by -6: x = -3988/3"], "final_answer": "-3988/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 714) + 7 = -6(x + 99) + 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 714, \"c\": 7, \"d\": -6, \"e\": 99, \"f\": 9}", "seed": "6054350103662177166", "semantic_fingerprint": "sha256:c6e0ab60dd0e6733448fc4fc573118dc4a651039c094fb6f54e6504723bd653e", "generator_version": "3.0"}
{"id": "v3_test_id_00003179", "prompt": "Evaluate: (-156 - (-4)) * 959 + (-337)", "solution_steps": ["Subtract: -156 - (-4) = -152", "Multiply: -152 * 959 = -145768", "Add: -145768 + (-337) = -146105"], "final_answer": "-146105", "answer_type": "integer", "kind": "expression", "math_text": "(-156 - (-4)) * 959 + (-337)", "variable": null, "family": "expression_3op", "shape": "(+ (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -156, \"b\": -4, \"c\": 959, \"d\": -337}", "seed": "14255041025496072189", "semantic_fingerprint": "sha256:7716c59cadef5854ecccf8ce8b253cc9d2431b6d2f73afbaf8e99c9eaff7fcfd", "generator_version": "3.0"}
{"id": "v3_test_id_00003180", "prompt": "Solve for x: -2(x - 79) = x + 167", "solution_steps": ["Expand: -2x + 158 = x + 167", "Subtract x from both sides: -3x + 158 = 167", "Subtract 158 from both sides: -3x = 9", "Divide both sides by -3: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 79) = x + 167", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 79, \"d\": 167, \"x\": -3}", "seed": "17830184124957171669", "semantic_fingerprint": "sha256:c42b3dcc8f9883dc4f43e7440a53fa14ac36a0357c334f51806ca965e9f6cafc", "generator_version": "3.0"}
{"id": "v3_test_id_00003181", "prompt": "Calculate: -6 + (-81 * 66 + (-60))", "solution_steps": ["Multiply: -81 * 66 = -5346", "Add: -5346 + (-60) = -5406", "Add: -6 + (-5406) = -5412"], "final_answer": "-5412", "answer_type": "integer", "kind": "expression", "math_text": "-6 + (-81 * 66 + (-60))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -81, \"c\": 66, \"d\": -60}", "seed": "5502342351285075943", "semantic_fingerprint": "sha256:ae9b514f2df47deae06e5cbc34b09690c65d87118a0ab0d9615d0277db0d1dfb", "generator_version": "3.0"}
{"id": "v3_test_id_00003182", "prompt": "Evaluate: (-672 - 94 + 144) / (302 / (-17))", "solution_steps": ["Subtract: -672 - 94 = -766", "Add: -766 + 144 = -622", "Divide: 302 / (-17) = -302/17", "Divide: -622 / (-302/17) = 5287/151"], "final_answer": "5287/151", "answer_type": "rational", "kind": "expression", "math_text": "(-672 - 94 + 144) / (302 / (-17))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (- n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -672, \"b\": 94, \"c\": 144, \"d\": 302, \"e\": -17}", "seed": "580114321047646981", "semantic_fingerprint": "sha256:28e2f5aaa9535d068c955091beee8c710135383be8bb7b7becf4e443aca78223", "generator_version": "3.0"}
{"id": "v3_test_id_00003183", "prompt": "Calculate: -18 * (-405 + 220)", "solution_steps": ["Add: -405 + 220 = -185", "Multiply: -18 * (-185) = 3330"], "final_answer": "3330", "answer_type": "integer", "kind": "expression", "math_text": "-18 * (-405 + 220)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": -405, \"c\": 220}", "seed": "18122094091350111818", "semantic_fingerprint": "sha256:00c837f8eed1ba0ec52ec89d3509177de0bc54b2396f2e663f18e30354c18585", "generator_version": "3.0"}
{"id": "v3_test_id_00003184", "prompt": "Solve for x: 5x = x - 56", "solution_steps": ["Subtract x from both sides: 4x = -56", "Divide both sides by 4: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = x - 56", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"c\": -56, \"x\": -14}", "seed": "5338010624502839893", "semantic_fingerprint": "sha256:7de0048e248981ca64021207a14e7729be7a1dad07ada5c70148d7a8f19acd27", "generator_version": "3.0"}
{"id": "v3_test_id_00003185", "prompt": "Solve the equation 3x - 34 = 5 for x.", "solution_steps": ["Add 34 to both sides: 3x = 39", "Divide both sides by 3: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 34 = 5", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 34, \"d\": 5, \"x\": 13}", "seed": "10690263991667723049", "semantic_fingerprint": "sha256:54a6b8f7af5d45b2a311ef4165b60f82bab1d68ffdca09e182ebf23188f77b0e", "generator_version": "3.0"}
{"id": "v3_test_id_00003186", "prompt": "What is -1 + (88 + (-49) + 6) * (-53)?", "solution_steps": ["Add: 88 + (-49) = 39", "Add: 39 + 6 = 45", "Multiply: 45 * (-53) = -2385", "Add: -1 + (-2385) = -2386"], "final_answer": "-2386", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (88 + (-49) + 6) * (-53)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (+ (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 88, \"c\": -49, \"d\": 6, \"e\": -53}", "seed": "16649377960196622671", "semantic_fingerprint": "sha256:4e62436e2bd1719e9a44d03d9cd026598b19fba570e4b88bbe89e4ec4cff117d", "generator_version": "3.0"}
{"id": "v3_test_id_00003187", "prompt": "What is -96 * 0 - (435 + (-4))?", "solution_steps": ["Multiply: -96 * 0 = 0", "Add: 435 + (-4) = 431", "Subtract: 0 - 431 = -431"], "final_answer": "-431", "answer_type": "integer", "kind": "expression", "math_text": "-96 * 0 - (435 + (-4))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": 0, \"c\": 435, \"d\": -4}", "seed": "10574726482419673901", "semantic_fingerprint": "sha256:c7ff296a3510c0be46d12b01c7ab712554007eefa4adfbfecf3c94a298109b9a", "generator_version": "3.0"}
{"id": "v3_test_id_00003188", "prompt": "Evaluate: 205 / (-2) * 8", "solution_steps": ["Divide: 205 / (-2) = -205/2", "Multiply: (-205/2) * 8 = -820"], "final_answer": "-820", "answer_type": "integer", "kind": "expression", "math_text": "205 / (-2) * 8", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 205, \"b\": -2, \"c\": 8}", "seed": "12894699513267950593", "semantic_fingerprint": "sha256:ce7bbc27a92493dab5c35208dd1b306b770333ab8f625c35929c431c96c65c7c", "generator_version": "3.0"}
{"id": "v3_test_id_00003189", "prompt": "What value of x satisfies 12(x + 564) - 209 = x?", "solution_steps": ["Expand: 12x + 6768 - 209 = x", "Combine constants: 12x + 6559 = x", "Subtract x from both sides: 11x + 6559 = 0", "Subtract 6559 from both sides: 11x = -6559", "Divide both sides by 11: x = -6559/11"], "final_answer": "-6559/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 564) - 209 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 564, \"c\": 209}", "seed": "16366431766674185871", "semantic_fingerprint": "sha256:21cda379e3362056bd479bd8c677f8373c99d9438911b18c7e39e4714f532fd4", "generator_version": "3.0"}
{"id": "v3_test_id_00003190", "prompt": "Find x: x - 58 = 10(x + 56) - 492", "solution_steps": ["Expand: x - 58 = 10x + 560 - 492", "Combine constants: x - 58 = 10x + 68", "Subtract 10x from both sides: -9x - 58 = 68", "Add 58 to both sides: -9x = 126", "Divide both sides by -9: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 58 = 10(x + 56) - 492", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": 10, \"c\": 56, \"e\": -492, \"x\": -14}", "seed": "6781819822223060066", "semantic_fingerprint": "sha256:363239aa4fd2322f55b4eeccc1ac66edea1f84be8a53925a5a2bd9e20b79fdf7", "generator_version": "3.0"}
{"id": "v3_test_id_00003191", "prompt": "Solve for x: x = 2(x - 43) - 73", "solution_steps": ["Expand: x = 2x - 86 - 73", "Combine constants: x = 2x - 159", "Subtract 2x from both sides: -x = -159", "Divide both sides by -1: x = 159"], "final_answer": "159", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 2(x - 43) - 73", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 43, \"c\": 73}", "seed": "257926603330376226", "semantic_fingerprint": "sha256:7b0fdd2879ed9e5ca8c156994d547f08f9cfd433a4dfdb9bceee9fa2fedf7ba8", "generator_version": "3.0"}
{"id": "v3_test_id_00003192", "prompt": "Compute: -5 * ((-49 - (-7)) * 411)", "solution_steps": ["Subtract: -49 - (-7) = -42", "Multiply: -42 * 411 = -17262", "Multiply: -5 * (-17262) = 86310"], "final_answer": "86310", "answer_type": "integer", "kind": "expression", "math_text": "-5 * ((-49 - (-7)) * 411)", "variable": null, "family": "expression_3op", "shape": "(* n (* (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -49, \"c\": -7, \"d\": 411}", "seed": "16863747934554982270", "semantic_fingerprint": "sha256:4a5174b25fd018583eb83a55292cd339a5456c2937b1429b0275d6ec43dd4791", "generator_version": "3.0"}
{"id": "v3_test_id_00003193", "prompt": "Calculate: -6 / 7 * 4", "solution_steps": ["Divide: -6 / 7 = -6/7", "Multiply: (-6/7) * 4 = -24/7"], "final_answer": "-24/7", "answer_type": "rational", "kind": "expression", "math_text": "-6 / 7 * 4", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 7, \"c\": 4}", "seed": "15316397189748184798", "semantic_fingerprint": "sha256:ad4eb8cee66cca8fe4b683686e1cb0a4c7aa5796622690fe266bad70471c334b", "generator_version": "3.0"}
{"id": "v3_test_id_00003194", "prompt": "Calculate: 717 - (-741) * 6 / (-1)", "solution_steps": ["Multiply: -741 * 6 = -4446", "Divide: -4446 / (-1) = 4446", "Subtract: 717 - 4446 = -3729"], "final_answer": "-3729", "answer_type": "integer", "kind": "expression", "math_text": "717 - (-741) * 6 / (-1)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 717, \"b\": -741, \"c\": 6, \"d\": -1}", "seed": "17242306104848294969", "semantic_fingerprint": "sha256:bcc820e0beda2af1b2243f3b0ca16782f71d516d22a262ba1229040953906993", "generator_version": "3.0"}
{"id": "v3_test_id_00003195", "prompt": "Evaluate: 8 - 72 + (-3) / 142 + 0", "solution_steps": ["Subtract: 8 - 72 = -64", "Divide: -3 / 142 = -3/142", "Add: -64 + (-3/142) = -9091/142", "Add: -9091/142 + 0 = -9091/142"], "final_answer": "-9091/142", "answer_type": "rational", "kind": "expression", "math_text": "8 - 72 + (-3) / 142 + 0", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 72, \"c\": -3, \"d\": 142, \"e\": 0}", "seed": "12112986737850853111", "semantic_fingerprint": "sha256:00f2e21244d2912876c123c20a334ec1d0c7c48d0924ec9909b559b762038b47", "generator_version": "3.0"}
{"id": "v3_test_id_00003196", "prompt": "Compute: -7 * (-62) / (-48)", "solution_steps": ["Multiply: -7 * (-62) = 434", "Divide: 434 / (-48) = -217/24"], "final_answer": "-217/24", "answer_type": "rational", "kind": "expression", "math_text": "-7 * (-62) / (-48)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -62, \"c\": -48}", "seed": "15373448594928404664", "semantic_fingerprint": "sha256:52cd69213255efca44794e2f4b84cbb782d5c7ca57e7e5d05e3a2ecd7caa961f", "generator_version": "3.0"}
{"id": "v3_test_id_00003197", "prompt": "Solve for x: -9(x + 484) + 8 = 2x + 96", "solution_steps": ["Expand: -9x - 4356 + 8 = 2x + 96", "Combine constants: -9x - 4348 = 2x + 96", "Subtract 2x from both sides: -11x - 4348 = 96", "Add 4348 to both sides: -11x = 4444", "Divide both sides by -11: x = -404"], "final_answer": "-404", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 484) + 8 = 2x + 96", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 484, \"c\": 8, \"d\": 2, \"e\": 96}", "seed": "5274776664696434656", "semantic_fingerprint": "sha256:ca5a568e68b1f7d0b768982001dbca2a893484db5f68e400fa7bff3018d14528", "generator_version": "3.0"}
{"id": "v3_test_id_00003198", "prompt": "Evaluate: 3 / (-302)", "solution_steps": ["Divide: 3 / (-302) = -3/302"], "final_answer": "-3/302", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-302)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -302}", "seed": "13401462128889606277", "semantic_fingerprint": "sha256:e8551fc6d8bfb5c90be8a9761cd509be7464c9f682f37e1cc51d1549678a236b", "generator_version": "3.0"}
{"id": "v3_test_id_00003199", "prompt": "Solve the equation -11(x + 75) = -7(x + 50) - 547 for x.", "solution_steps": ["Expand: -11x - 825 = -7(x + 50) - 547", "Expand: -11x - 825 = -7x - 350 - 547", "Combine constants: -11x - 825 = -7x - 897", "Add 7x to both sides: -4x - 825 = -897", "Add 825 to both sides: -4x = -72", "Divide both sides by -4: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 75) = -7(x + 50) - 547", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 75, \"c\": -7, \"d\": 50, \"f\": -547, \"x\": 18}", "seed": "370025873252164262", "semantic_fingerprint": "sha256:e30692d08d9ebabbf29dcb05725294f80248f5d283ea63f204ec982de44e3b7e", "generator_version": "3.0"}
{"id": "v3_test_id_00003200", "prompt": "What value of x satisfies 5x + 53 = 11(x - 5) + 90?", "solution_steps": ["Expand: 5x + 53 = 11x - 55 + 90", "Combine constants: 5x + 53 = 11x + 35", "Subtract 11x from both sides: -6x + 53 = 35", "Subtract 53 from both sides: -6x = -18", "Divide both sides by -6: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 53 = 11(x - 5) + 90", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 53, \"c\": 11, \"d\": 5, \"f\": 90, \"x\": 3}", "seed": "12110831401872200016", "semantic_fingerprint": "sha256:abd172635edb39256cf9f2b6e75c0207dba31b91f1eacfc7d0a06a9c4ef9ea13", "generator_version": "3.0"}
{"id": "v3_test_id_00003201", "prompt": "Calculate: -61 / (-531) - 85", "solution_steps": ["Divide: -61 / (-531) = 61/531", "Subtract: 61/531 - 85 = -45074/531"], "final_answer": "-45074/531", "answer_type": "rational", "kind": "expression", "math_text": "-61 / (-531) - 85", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": -531, \"c\": 85}", "seed": "5988124245561476886", "semantic_fingerprint": "sha256:4a89d6856409d7b3e4c01a1d241f988d3fc2148fa9d80d5e42060fadd8720d4f", "generator_version": "3.0"}
{"id": "v3_test_id_00003202", "prompt": "Solve the equation -4(x + 32) = 3x - 205 for x.", "solution_steps": ["Expand: -4x - 128 = 3x - 205", "Subtract 3x from both sides: -7x - 128 = -205", "Add 128 to both sides: -7x = -77", "Divide both sides by -7: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 32) = 3x - 205", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 32, \"c\": 3, \"d\": 205}", "seed": "9290865502630961625", "semantic_fingerprint": "sha256:19bc374bba308bf8efc7cffc4aa871f7b12287d8e151dbc9e764bc583efe844d", "generator_version": "3.0"}
{"id": "v3_test_id_00003203", "prompt": "Compute: -78 * (-375 * 4 + (-118))", "solution_steps": ["Multiply: -375 * 4 = -1500", "Add: -1500 + (-118) = -1618", "Multiply: -78 * (-1618) = 126204"], "final_answer": "126204", "answer_type": "integer", "kind": "expression", "math_text": "-78 * (-375 * 4 + (-118))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": -375, \"c\": 4, \"d\": -118}", "seed": "12515771760689195086", "semantic_fingerprint": "sha256:6fad688ac6eac940c3db646fa0591c9229f8c1b0b9589f83195e402bea1c093a", "generator_version": "3.0"}
{"id": "v3_test_id_00003204", "prompt": "Solve the equation 2x + 17 = x + 18 for x.", "solution_steps": ["Subtract x from both sides: x + 17 = 18", "Subtract 17 from both sides: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x + 17 = x + 18", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 17, \"d\": 18, \"x\": 1}", "seed": "5639141036725499394", "semantic_fingerprint": "sha256:971e494f791d419f7e86b11da409df8391856071869404b6cb73b1d83a53a91c", "generator_version": "3.0"}
{"id": "v3_test_id_00003205", "prompt": "Evaluate: -91 - (757 - 95)", "solution_steps": ["Subtract: 757 - 95 = 662", "Subtract: -91 - 662 = -753"], "final_answer": "-753", "answer_type": "integer", "kind": "expression", "math_text": "-91 - (757 - 95)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": 757, \"c\": 95}", "seed": "7267132918813426796", "semantic_fingerprint": "sha256:6f65b21653592483e6df46d36f7da76237424b572db3a177cbdf2ac26ea89c39", "generator_version": "3.0"}
{"id": "v3_test_id_00003206", "prompt": "Compute: -3 * (-12) / (-2 * (-534) * 42)", "solution_steps": ["Multiply: -3 * (-12) = 36", "Multiply: -2 * (-534) = 1068", "Multiply: 1068 * 42 = 44856", "Divide: 36 / 44856 = 1/1246"], "final_answer": "1/1246", "answer_type": "rational", "kind": "expression", "math_text": "-3 * (-12) / (-2 * (-534) * 42)", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (* (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -12, \"c\": -2, \"d\": -534, \"e\": 42}", "seed": "2867377676039261462", "semantic_fingerprint": "sha256:c922f37fd61c48c5c8a1cb32e6f8f1d1a8152d51273cb740375cae0be968b882", "generator_version": "3.0"}
{"id": "v3_test_id_00003207", "prompt": "Solve the equation 7(x + 21) - 79 = -12(x - 2) + 32 for x.", "solution_steps": ["Expand: 7x + 147 - 79 = -12(x - 2) + 32", "Expand: 7x + 147 - 79 = -12x + 24 + 32", "Combine constants: 7x + 68 = -12x + 24 + 32", "Combine constants: 7x + 68 = -12x + 56", "Add 12x to both sides: 19x + 68 = 56", "Subtract 68 from both sides: 19x = -12", "Divide both sides by 19: x = -12/19"], "final_answer": "-12/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 21) - 79 = -12(x - 2) + 32", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 21, \"c\": 79, \"d\": -12, \"e\": 2, \"f\": 32}", "seed": "11074048728232944838", "semantic_fingerprint": "sha256:f16f1353031dcb6e4ea4de8fadede88c6b06f92a0ef6ac008f15a2bf194a609a", "generator_version": "3.0"}
{"id": "v3_test_id_00003208", "prompt": "What is 1 - (83 + 59 / 6 + 228)?", "solution_steps": ["Divide: 59 / 6 = 59/6", "Add: 83 + 59/6 = 557/6", "Add: 557/6 + 228 = 1925/6", "Subtract: 1 - 1925/6 = -1919/6"], "final_answer": "-1919/6", "answer_type": "rational", "kind": "expression", "math_text": "1 - (83 + 59 / 6 + 228)", "variable": null, "family": "expression_4op", "shape": "(- n (+ (+ n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 83, \"c\": 59, \"d\": 6, \"e\": 228}", "seed": "18041562810156656629", "semantic_fingerprint": "sha256:8bad81394a5f66225f24109e16e1148091d32de02a5d962818024495d6bd0283", "generator_version": "3.0"}
{"id": "v3_test_id_00003209", "prompt": "Solve for x: -12x = x + 156", "solution_steps": ["Subtract x from both sides: -13x = 156", "Divide both sides by -13: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x = x + 156", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"c\": 156, \"x\": -12}", "seed": "7077389618842558212", "semantic_fingerprint": "sha256:b26510f133e50f75e45efadd6784427129b4919da90057c5570edad53222a8de", "generator_version": "3.0"}
{"id": "v3_test_id_00003210", "prompt": "Find x: 6(x - 73) - 73 = -8x - 497", "solution_steps": ["Expand: 6x - 438 - 73 = -8x - 497", "Combine constants: 6x - 511 = -8x - 497", "Add 8x to both sides: 14x - 511 = -497", "Add 511 to both sides: 14x = 14", "Divide both sides by 14: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 73) - 73 = -8x - 497", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 73, \"c\": 73, \"d\": -8, \"f\": -497, \"x\": 1}", "seed": "6245935555875015287", "semantic_fingerprint": "sha256:8311723c39958704d1e721dcb007ef0f2f5f9cecbb750a656d14017c3e6e9978", "generator_version": "3.0"}
{"id": "v3_test_id_00003211", "prompt": "Solve the equation 10(x + 18) = 7x + 915 for x.", "solution_steps": ["Expand: 10x + 180 = 7x + 915", "Subtract 7x from both sides: 3x + 180 = 915", "Subtract 180 from both sides: 3x = 735", "Divide both sides by 3: x = 245"], "final_answer": "245", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 18) = 7x + 915", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 18, \"c\": 7, \"d\": 915}", "seed": "11721042709923487317", "semantic_fingerprint": "sha256:7b71737ed680752f8a3ecac0c209331bfcd40a7a0336d32604564a7a3b3a256f", "generator_version": "3.0"}
{"id": "v3_test_id_00003212", "prompt": "Find x: 8(x + 489) = 3(x + 12)", "solution_steps": ["Expand: 8x + 3912 = 3(x + 12)", "Expand: 8x + 3912 = 3x + 36", "Subtract 3x from both sides: 5x + 3912 = 36", "Subtract 3912 from both sides: 5x = -3876", "Divide both sides by 5: x = -3876/5"], "final_answer": "-3876/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 489) = 3(x + 12)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 489, \"c\": 3, \"d\": 12}", "seed": "8786795180470956410", "semantic_fingerprint": "sha256:33f9c2fb70f6c86e9e8c5e6447e6395f5f447ccfd7b617fd2d48bedb3d8ba3b5", "generator_version": "3.0"}
{"id": "v3_test_id_00003213", "prompt": "What is 490 - 3?", "solution_steps": ["Subtract: 490 - 3 = 487"], "final_answer": "487", "answer_type": "integer", "kind": "expression", "math_text": "490 - 3", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 490, \"b\": 3}", "seed": "14913346952642582070", "semantic_fingerprint": "sha256:07483d6e253cce61bc30669c5819cb7aba49b966645f779728f6981d47788e72", "generator_version": "3.0"}
{"id": "v3_test_id_00003214", "prompt": "Calculate: 756 * 736 * 1", "solution_steps": ["Multiply: 756 * 736 = 556416", "Multiply: 556416 * 1 = 556416"], "final_answer": "556416", "answer_type": "integer", "kind": "expression", "math_text": "756 * 736 * 1", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 756, \"b\": 736, \"c\": 1}", "seed": "6898242628438761539", "semantic_fingerprint": "sha256:f315b6a9702c8a94e79eb8e20e9c36299df2a1821a0306c8978a45500d9889e6", "generator_version": "3.0"}
{"id": "v3_test_id_00003215", "prompt": "Calculate: -87 - 867 + 96", "solution_steps": ["Subtract: -87 - 867 = -954", "Add: -954 + 96 = -858"], "final_answer": "-858", "answer_type": "integer", "kind": "expression", "math_text": "-87 - 867 + 96", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": 867, \"c\": 96}", "seed": "13556690735191742404", "semantic_fingerprint": "sha256:74bf3516249299c4aeb0d022576eb840c6c0c16317487798f16944f7882b5193", "generator_version": "3.0"}
{"id": "v3_test_id_00003216", "prompt": "Find x: 10(x + 5) = 12x + 68", "solution_steps": ["Expand: 10x + 50 = 12x + 68", "Subtract 12x from both sides: -2x + 50 = 68", "Subtract 50 from both sides: -2x = 18", "Divide both sides by -2: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 5) = 12x + 68", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 5, \"c\": 12, \"e\": 68, \"x\": -9}", "seed": "14243280666055469859", "semantic_fingerprint": "sha256:a81ebadffbab5d656dfc585c5bd6af7bac6d496b064852f826bf0a398c747745", "generator_version": "3.0"}
{"id": "v3_test_id_00003217", "prompt": "Solve for x: -11(x + 41) + 920 = -10x + 480", "solution_steps": ["Expand: -11x - 451 + 920 = -10x + 480", "Combine constants: -11x + 469 = -10x + 480", "Add 10x to both sides: -x + 469 = 480", "Subtract 469 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 + 41) + 920 = -10x + 480", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 41, \"c\": 920, \"d\": -10, \"f\": 480, \"x\": -11}", "seed": "12279310719262692917", "semantic_fingerprint": "sha256:5fe007aeefd476107d9ab01822951c09185394765ee9ad68825ff62f5926f94d", "generator_version": "3.0"}
{"id": "v3_test_id_00003218", "prompt": "Evaluate: -51 / (-141) - (-6)", "solution_steps": ["Divide: -51 / (-141) = 17/47", "Subtract: 17/47 - (-6) = 299/47"], "final_answer": "299/47", "answer_type": "rational", "kind": "expression", "math_text": "-51 / (-141) - (-6)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": -141, \"c\": -6}", "seed": "15113408962207619817", "semantic_fingerprint": "sha256:f14908b4cd470e9030910bc02d45fcead02d70ae0b395a8658a259947f836277", "generator_version": "3.0"}
{"id": "v3_test_id_00003219", "prompt": "Evaluate: -2 - 9 * (-64)", "solution_steps": ["Multiply: 9 * (-64) = -576", "Subtract: -2 - (-576) = 574"], "final_answer": "574", "answer_type": "integer", "kind": "expression", "math_text": "-2 - 9 * (-64)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 9, \"c\": -64}", "seed": "13487393446690171767", "semantic_fingerprint": "sha256:4e807ce6de56026a359a7d7a7b32866d786347965e031f19f91f412a75011642", "generator_version": "3.0"}
{"id": "v3_test_id_00003220", "prompt": "Find x: x = 4(x + 6) - 69", "solution_steps": ["Expand: x = 4x + 24 - 69", "Combine constants: x = 4x - 45", "Subtract 4x from both sides: -3x = -45", "Divide both sides by -3: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 4(x + 6) - 69", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"d\": -69, \"x\": 15}", "seed": "16966526466687565795", "semantic_fingerprint": "sha256:74c12e93be7480aa7505ce6471a2801f765b6f3de295502dacf4752fed7ce778", "generator_version": "3.0"}
{"id": "v3_test_id_00003221", "prompt": "Evaluate: (841 - 5) * 47", "solution_steps": ["Subtract: 841 - 5 = 836", "Multiply: 836 * 47 = 39292"], "final_answer": "39292", "answer_type": "integer", "kind": "expression", "math_text": "(841 - 5) * 47", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 841, \"b\": 5, \"c\": 47}", "seed": "2130600593708725664", "semantic_fingerprint": "sha256:a3e904205001721cb6cb2183c058635fb009a33b0a38479c2c92a920fc0279e8", "generator_version": "3.0"}
{"id": "v3_test_id_00003222", "prompt": "Compute: 0 / (-744)", "solution_steps": ["Divide: 0 / (-744) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-744)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -744}", "seed": "5723803419781861266", "semantic_fingerprint": "sha256:dd1b8164516725bec73ad6f8c6d383b69ce465a167efe90eb079cb5a4d612a2e", "generator_version": "3.0"}
{"id": "v3_test_id_00003223", "prompt": "What value of x satisfies 6x = 11x + 7?", "solution_steps": ["Subtract 11x from both sides: -5x = 7", "Divide both sides by -5: x = -7/5"], "final_answer": "-7/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x = 11x + 7", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 11, \"c\": 7}", "seed": "5919527410538159339", "semantic_fingerprint": "sha256:1c34f7540d25a431567ed50b928993ead7b103544a27e6ce60b0b8cb82181f16", "generator_version": "3.0"}
{"id": "v3_test_id_00003224", "prompt": "Calculate: -2 / (-38)", "solution_steps": ["Divide: -2 / (-38) = 1/19"], "final_answer": "1/19", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-38)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -38}", "seed": "6620992519216417765", "semantic_fingerprint": "sha256:c7ada8f6a370f179391574d12eee74922928bfabd295b0ad1d210d56c8256117", "generator_version": "3.0"}
{"id": "v3_test_id_00003225", "prompt": "Evaluate: (627 - 713) * 193", "solution_steps": ["Subtract: 627 - 713 = -86", "Multiply: -86 * 193 = -16598"], "final_answer": "-16598", "answer_type": "integer", "kind": "expression", "math_text": "(627 - 713) * 193", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 627, \"b\": 713, \"c\": 193}", "seed": "552996881669701166", "semantic_fingerprint": "sha256:ca2adde2cf2daa271186e19f6cec7141035bdf85bccbbc447aa7375dc83a90ec", "generator_version": "3.0"}
{"id": "v3_test_id_00003226", "prompt": "Compute: (-80 - (-35 + 7) / (-2)) / (-3)", "solution_steps": ["Add: -35 + 7 = -28", "Divide: -28 / (-2) = 14", "Subtract: -80 - 14 = -94", "Divide: -94 / (-3) = 94/3"], "final_answer": "94/3", "answer_type": "rational", "kind": "expression", "math_text": "(-80 - (-35 + 7) / (-2)) / (-3)", "variable": null, "family": "expression_4op", "shape": "(/ (- n (/ (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": -35, \"c\": 7, \"d\": -2, \"e\": -3}", "seed": "12353629483394609493", "semantic_fingerprint": "sha256:fd8e76487e50df882631386f708cb3c7b0f944305e599bc2fce5df6a4c2fecdd", "generator_version": "3.0"}
{"id": "v3_test_id_00003227", "prompt": "What is -5 * 73 / (-1)?", "solution_steps": ["Multiply: -5 * 73 = -365", "Divide: -365 / (-1) = 365"], "final_answer": "365", "answer_type": "integer", "kind": "expression", "math_text": "-5 * 73 / (-1)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 73, \"c\": -1}", "seed": "3974633024220261661", "semantic_fingerprint": "sha256:c4c52395a986b509a7617d82d0ca59a61ab7cfb6b700ab9224a023d507529f03", "generator_version": "3.0"}
{"id": "v3_test_id_00003228", "prompt": "Solve for x: 9(x + 964) = 5(x - 617)", "solution_steps": ["Expand: 9x + 8676 = 5(x - 617)", "Expand: 9x + 8676 = 5x - 3085", "Subtract 5x from both sides: 4x + 8676 = -3085", "Subtract 8676 from both sides: 4x = -11761", "Divide both sides by 4: x = -11761/4"], "final_answer": "-11761/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 964) = 5(x - 617)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 964, \"c\": 5, \"d\": 617}", "seed": "12436297727954697682", "semantic_fingerprint": "sha256:a004a966cb74f16b3f843db4037f4c67a277f53bec190386e93a403771196f0a", "generator_version": "3.0"}
{"id": "v3_test_id_00003229", "prompt": "Evaluate: -71 - 12", "solution_steps": ["Subtract: -71 - 12 = -83"], "final_answer": "-83", "answer_type": "integer", "kind": "expression", "math_text": "-71 - 12", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": 12}", "seed": "3352696703959411436", "semantic_fingerprint": "sha256:e09b5b25f5420c35912c66d8b3b3f4881cc3c515bcffd3b7cb064809a009566a", "generator_version": "3.0"}
{"id": "v3_test_id_00003230", "prompt": "Evaluate: -96 + 3 - 34 * 3", "solution_steps": ["Add: -96 + 3 = -93", "Multiply: 34 * 3 = 102", "Subtract: -93 - 102 = -195"], "final_answer": "-195", "answer_type": "integer", "kind": "expression", "math_text": "-96 + 3 - 34 * 3", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": 3, \"c\": 34, \"d\": 3}", "seed": "5942598670468144481", "semantic_fingerprint": "sha256:0c2f1128f8700667d96131e028df4fd4fd032c299ef0bf00cde41b07c1e410be", "generator_version": "3.0"}
{"id": "v3_test_id_00003231", "prompt": "Compute: -759 / (-53 / (-13 - (-23)))", "solution_steps": ["Subtract: -13 - (-23) = 10", "Divide: -53 / 10 = -53/10", "Divide: -759 / (-53/10) = 7590/53"], "final_answer": "7590/53", "answer_type": "rational", "kind": "expression", "math_text": "-759 / (-53 / (-13 - (-23)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -759, \"b\": -53, \"c\": -13, \"d\": -23}", "seed": "17873541296685452244", "semantic_fingerprint": "sha256:c91f1f4ec3cff2a978ac4ac32697c3086c16827ac7ab993ee4f36b113f23ad80", "generator_version": "3.0"}
{"id": "v3_test_id_00003232", "prompt": "Calculate: -62 - (-6)", "solution_steps": ["Subtract: -62 - (-6) = -56"], "final_answer": "-56", "answer_type": "integer", "kind": "expression", "math_text": "-62 - (-6)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": -6}", "seed": "7474744494443630474", "semantic_fingerprint": "sha256:0d0b924e26d07d0048defdaaf6527fdcafb9304512d150fc00dbd045888bdd10", "generator_version": "3.0"}
{"id": "v3_test_id_00003233", "prompt": "What is -5 / (-74) * (0 * (-426))?", "solution_steps": ["Divide: -5 / (-74) = 5/74", "Multiply: 0 * (-426) = 0", "Multiply: (5/74) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-5 / (-74) * (0 * (-426))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -74, \"c\": 0, \"d\": -426}", "seed": "14273945216353250027", "semantic_fingerprint": "sha256:16120bdae4fb7474d404c89e0c7dd3f24ff77723926fbb572c90e3f83be2abf7", "generator_version": "3.0"}
{"id": "v3_test_id_00003234", "prompt": "What value of x satisfies 10(x + 48) = 5(x + 4) + 475?", "solution_steps": ["Expand: 10x + 480 = 5(x + 4) + 475", "Expand: 10x + 480 = 5x + 20 + 475", "Combine constants: 10x + 480 = 5x + 495", "Subtract 5x from both sides: 5x + 480 = 495", "Subtract 480 from both sides: 5x = 15", "Divide both sides by 5: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 48) = 5(x + 4) + 475", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 48, \"c\": 5, \"d\": 4, \"f\": 475, \"x\": 3}", "seed": "18001281076988336929", "semantic_fingerprint": "sha256:4701eed04134feb9ad11af48842b222c05621d7a6f58b8e0fcad7664d9565362", "generator_version": "3.0"}
{"id": "v3_test_id_00003235", "prompt": "Evaluate: 75 - 137 + (-10) + (-959)", "solution_steps": ["Subtract: 75 - 137 = -62", "Add: -62 + (-10) = -72", "Add: -72 + (-959) = -1031"], "final_answer": "-1031", "answer_type": "integer", "kind": "expression", "math_text": "75 - 137 + (-10) + (-959)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 137, \"c\": -10, \"d\": -959}", "seed": "7062803658594485781", "semantic_fingerprint": "sha256:0738d6d36362c18aa97f510d79405bb20970027675d98ddccecbbdb47774a37c", "generator_version": "3.0"}
{"id": "v3_test_id_00003236", "prompt": "Solve for x: x + 101 = 10(x + 2)", "solution_steps": ["Expand: x + 101 = 10x + 20", "Subtract 10x from both sides: -9x + 101 = 20", "Subtract 101 from both sides: -9x = -81", "Divide both sides by -9: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 101 = 10(x + 2)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"d\": 101, \"x\": 9}", "seed": "6200944918617801391", "semantic_fingerprint": "sha256:91bcbb0a355d4b0a045e3f119f30d040fc133711098fced8cc8f962bcbbdeb8f", "generator_version": "3.0"}
{"id": "v3_test_id_00003237", "prompt": "Calculate: -510 + (-1) - 6", "solution_steps": ["Add: -510 + (-1) = -511", "Subtract: -511 - 6 = -517"], "final_answer": "-517", "answer_type": "integer", "kind": "expression", "math_text": "-510 + (-1) - 6", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -510, \"b\": -1, \"c\": 6}", "seed": "662410515037281565", "semantic_fingerprint": "sha256:da9e800e89c6f634ecb2f77cb499e631825a39ed41fd5b73cd43c4680b914c52", "generator_version": "3.0"}
{"id": "v3_test_id_00003238", "prompt": "What value of x satisfies 8(x + 41) + 85 = 3x - 5?", "solution_steps": ["Expand: 8x + 328 + 85 = 3x - 5", "Combine constants: 8x + 413 = 3x - 5", "Subtract 3x from both sides: 5x + 413 = -5", "Subtract 413 from both sides: 5x = -418", "Divide both sides by 5: x = -418/5"], "final_answer": "-418/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 41) + 85 = 3x - 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 41, \"c\": 85, \"d\": 3, \"e\": 5}", "seed": "107641581872463871", "semantic_fingerprint": "sha256:db3968e3e62cf087301eb711bd678e5ba123b0f5458875f3fc14e287cae048f8", "generator_version": "3.0"}
{"id": "v3_test_id_00003239", "prompt": "Solve for x: 7(x + 56) - 37 = 12(x + 10) + 205", "solution_steps": ["Expand: 7x + 392 - 37 = 12(x + 10) + 205", "Expand: 7x + 392 - 37 = 12x + 120 + 205", "Combine constants: 7x + 355 = 12x + 120 + 205", "Combine constants: 7x + 355 = 12x + 325", "Subtract 12x from both sides: -5x + 355 = 325", "Subtract 355 from both sides: -5x = -30", "Divide both sides by -5: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 56) - 37 = 12(x + 10) + 205", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 56, \"c\": 37, \"d\": 12, \"e\": 10, \"g\": 205, \"x\": 6}", "seed": "7373330060860050361", "semantic_fingerprint": "sha256:3694ca998e3821eede88c24f1d692158cdc510a0fb5c01d6747a15e95f834ebb", "generator_version": "3.0"}
{"id": "v3_test_id_00003240", "prompt": "Calculate: 0 / (1 / 69)", "solution_steps": ["Divide: 1 / 69 = 1/69", "Divide: 0 / (1/69) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (1 / 69)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 1, \"c\": 69}", "seed": "2730944724788100842", "semantic_fingerprint": "sha256:6946c01b1dccec308f4e947852fcdac0776c476fe2f70667395b8c9ec9fc0b21", "generator_version": "3.0"}
{"id": "v3_test_id_00003241", "prompt": "Find x: -12x = 5x - 204", "solution_steps": ["Subtract 5x from both sides: -17x = -204", "Divide both sides by -17: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x = 5x - 204", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 5, \"d\": -204, \"x\": 12}", "seed": "9560734232276833661", "semantic_fingerprint": "sha256:84c57df9e5e5981e160beed8fd45528bcb219b5f3054b6a9dfcb0d4b72448f01", "generator_version": "3.0"}
{"id": "v3_test_id_00003242", "prompt": "What is 0 * (280 / 427)?", "solution_steps": ["Divide: 280 / 427 = 40/61", "Multiply: 0 * (40/61) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (280 / 427)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 280, \"c\": 427}", "seed": "7355209022477052464", "semantic_fingerprint": "sha256:f381ad6589cdc4c0c28ed404ffce869ff178971dc7cb09b30cb4a964d92d894a", "generator_version": "3.0"}
{"id": "v3_test_id_00003243", "prompt": "Find x: 4(x - 9) - 47 = 11x - 174", "solution_steps": ["Expand: 4x - 36 - 47 = 11x - 174", "Combine constants: 4x - 83 = 11x - 174", "Subtract 11x from both sides: -7x - 83 = -174", "Add 83 to both sides: -7x = -91", "Divide both sides by -7: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 9) - 47 = 11x - 174", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 47, \"d\": 11, \"f\": -174, \"x\": 13}", "seed": "7169313199382274792", "semantic_fingerprint": "sha256:4e754371b6e43274ea97f42b13f8ae9171d53f385e22c050ce1f5d5e2dcf3d48", "generator_version": "3.0"}
{"id": "v3_test_id_00003244", "prompt": "What is 25 * (-90 / 2 / 32 * 2) - 19?", "solution_steps": ["Divide: -90 / 2 = -45", "Divide: -45 / 32 = -45/32", "Multiply: (-45/32) * 2 = -45/16", "Multiply: 25 * (-45/16) = -1125/16", "Subtract: -1125/16 - 19 = -1429/16"], "final_answer": "-1429/16", "answer_type": "rational", "kind": "expression", "math_text": "25 * (-90 / 2 / 32 * 2) - 19", "variable": null, "family": "expression_5op", "shape": "(- (* n (* (/ (/ n n) n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": -90, \"c\": 2, \"d\": 32, \"e\": 2, \"f\": 19}", "seed": "9281254226608681458", "semantic_fingerprint": "sha256:436c4fa397974d36ce43e033be0994a937cc27ecec3873c073c782aefbcb94b0", "generator_version": "3.0"}
{"id": "v3_test_id_00003245", "prompt": "Calculate: 46 + (-6) / 7 + 371 / 63", "solution_steps": ["Divide: -6 / 7 = -6/7", "Add: 46 + (-6/7) = 316/7", "Divide: 371 / 63 = 53/9", "Add: 316/7 + 53/9 = 3215/63"], "final_answer": "3215/63", "answer_type": "rational", "kind": "expression", "math_text": "46 + (-6) / 7 + 371 / 63", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": -6, \"c\": 7, \"d\": 371, \"e\": 63}", "seed": "3449384194630074640", "semantic_fingerprint": "sha256:85f0b3f17f9ae06cd56c27aa5b2d69578267a324cdb1c4deea123c40e6b30bbc", "generator_version": "3.0"}
{"id": "v3_test_id_00003246", "prompt": "Solve for x: 4(x - 100) - 26 = 10x - 474", "solution_steps": ["Expand: 4x - 400 - 26 = 10x - 474", "Combine constants: 4x - 426 = 10x - 474", "Subtract 10x from both sides: -6x - 426 = -474", "Add 426 to both sides: -6x = -48", "Divide both sides by -6: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 100) - 26 = 10x - 474", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 100, \"c\": 26, \"d\": 10, \"f\": -474, \"x\": 8}", "seed": "7694340260053467508", "semantic_fingerprint": "sha256:8bd9bd83750de7362bccf631f6f90b2523cc648111f843827ba8bb3230a0dc1c", "generator_version": "3.0"}
{"id": "v3_test_id_00003247", "prompt": "Solve the equation -5(x - 2) - 94 = x for x.", "solution_steps": ["Expand: -5x + 10 - 94 = x", "Combine constants: -5x - 84 = x", "Subtract x from both sides: -6x - 84 = 0", "Add 84 to both sides: -6x = 84", "Divide both sides by -6: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 2) - 94 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 2, \"d\": -94, \"x\": -14}", "seed": "13936191372817298764", "semantic_fingerprint": "sha256:096ebf166a8caf228f3ac23cbada35ae3228409e2dbd466fdeeb3cff8e387915", "generator_version": "3.0"}
{"id": "v3_test_id_00003248", "prompt": "Solve for x: -9x - 3 = 3x + 13", "solution_steps": ["Subtract 3x from both sides: -12x - 3 = 13", "Add 3 to both sides: -12x = 16", "Divide both sides by -12: x = -4/3"], "final_answer": "-4/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9x - 3 = 3x + 13", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 3, \"c\": 3, \"d\": 13}", "seed": "3843363770343017906", "semantic_fingerprint": "sha256:83a8fd74b3aa9f4cd9b837643cad2c29dc446db0f2c3ccd5934ac268da6befb8", "generator_version": "3.0"}
{"id": "v3_test_id_00003249", "prompt": "Evaluate: -80 * (9 * 1) / 87 / 9", "solution_steps": ["Multiply: 9 * 1 = 9", "Multiply: -80 * 9 = -720", "Divide: -720 / 87 = -240/29", "Divide: (-240/29) / 9 = -80/87"], "final_answer": "-80/87", "answer_type": "rational", "kind": "expression", "math_text": "-80 * (9 * 1) / 87 / 9", "variable": null, "family": "expression_4op", "shape": "(/ (/ (* n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": 9, \"c\": 1, \"d\": 87, \"e\": 9}", "seed": "2090620429633900718", "semantic_fingerprint": "sha256:7c0ad9216638f8bc3a208513987187949e95a071cb342ff8031556d70b5392c1", "generator_version": "3.0"}
{"id": "v3_test_id_00003250", "prompt": "Solve the equation x - 8 = 2(x + 3) - 2 for x.", "solution_steps": ["Expand: x - 8 = 2x + 6 - 2", "Combine constants: x - 8 = 2x + 4", "Subtract 2x from both sides: -x - 8 = 4", "Add 8 to both sides: -x = 12", "Divide both sides by -1: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8 = 2(x + 3) - 2", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": 3, \"d\": 2}", "seed": "4424426393611805730", "semantic_fingerprint": "sha256:3b89f4149bfb6b7f304fbe8de9b566be58f8ea4e9f641935f041e929b56ea835", "generator_version": "3.0"}
{"id": "v3_test_id_00003251", "prompt": "Compute: -188 / 930", "solution_steps": ["Divide: -188 / 930 = -94/465"], "final_answer": "-94/465", "answer_type": "rational", "kind": "expression", "math_text": "-188 / 930", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -188, \"b\": 930}", "seed": "9624613809215870020", "semantic_fingerprint": "sha256:127eba5d955c35e8af08b3c4825de148cbdccbd02cb94b680da19f97e1fa3474", "generator_version": "3.0"}
{"id": "v3_test_id_00003252", "prompt": "Calculate: -51 - 12 / (-2) / (-102)", "solution_steps": ["Divide: 12 / (-2) = -6", "Divide: -6 / (-102) = 1/17", "Subtract: -51 - 1/17 = -868/17"], "final_answer": "-868/17", "answer_type": "rational", "kind": "expression", "math_text": "-51 - 12 / (-2) / (-102)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": 12, \"c\": -2, \"d\": -102}", "seed": "16149063187023668834", "semantic_fingerprint": "sha256:2a23c3ac7c6bd1028134a7ac81be5eff7e2cbea0f3c4c6e381f092f9f7cb7b77", "generator_version": "3.0"}
{"id": "v3_test_id_00003253", "prompt": "What value of x satisfies -3(x + 9) + 21 = -2x?", "solution_steps": ["Expand: -3x - 27 + 21 = -2x", "Combine constants: -3x - 6 = -2x", "Add 2x to both sides: -x - 6 = 0", "Add 6 to both sides: -x = 6", "Divide both sides by -1: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 9) + 21 = -2x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 9, \"c\": -2, \"e\": 21, \"x\": -6}", "seed": "3900986157123374992", "semantic_fingerprint": "sha256:8582debf71cf976af385cfd19cd08bf89c85f120c58ff8c98016ab78ead3f211", "generator_version": "3.0"}
{"id": "v3_test_id_00003254", "prompt": "Compute: 68 * (-2 / 74 - 9)", "solution_steps": ["Divide: -2 / 74 = -1/37", "Subtract: -1/37 - 9 = -334/37", "Multiply: 68 * (-334/37) = -22712/37"], "final_answer": "-22712/37", "answer_type": "rational", "kind": "expression", "math_text": "68 * (-2 / 74 - 9)", "variable": null, "family": "expression_3op", "shape": "(* n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": -2, \"c\": 74, \"d\": 9}", "seed": "9576201022009387735", "semantic_fingerprint": "sha256:822995e1aea6a618bb7409f8887cc8403595a581d44f5a6f9a5204304bb163a5", "generator_version": "3.0"}
{"id": "v3_test_id_00003255", "prompt": "Calculate: (6 + 289) * (-172)", "solution_steps": ["Add: 6 + 289 = 295", "Multiply: 295 * (-172) = -50740"], "final_answer": "-50740", "answer_type": "integer", "kind": "expression", "math_text": "(6 + 289) * (-172)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 289, \"c\": -172}", "seed": "17271907671066484865", "semantic_fingerprint": "sha256:5fac6fcc8442124da2aea2a166ba615096f15ddd8fd9225e754d6319cd75a656", "generator_version": "3.0"}
{"id": "v3_test_id_00003256", "prompt": "What is (0 - (-1)) / (-3 / 8) / 5?", "solution_steps": ["Subtract: 0 - (-1) = 1", "Divide: -3 / 8 = -3/8", "Divide: 1 / (-3/8) = -8/3", "Divide: (-8/3) / 5 = -8/15"], "final_answer": "-8/15", "answer_type": "rational", "kind": "expression", "math_text": "(0 - (-1)) / (-3 / 8) / 5", "variable": null, "family": "expression_4op", "shape": "(/ (/ (- n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -1, \"c\": -3, \"d\": 8, \"e\": 5}", "seed": "12509689782442120391", "semantic_fingerprint": "sha256:1021f0fc76e951ca3f297b1eebf92319a8e101a88d36256d75dfba863e3109d5", "generator_version": "3.0"}
{"id": "v3_test_id_00003257", "prompt": "What is -54 * 653?", "solution_steps": ["Multiply: -54 * 653 = -35262"], "final_answer": "-35262", "answer_type": "integer", "kind": "expression", "math_text": "-54 * 653", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": 653}", "seed": "18140020367080907603", "semantic_fingerprint": "sha256:41ef59f5f439833cd8a30ddb0a9167982a0db0fe25da61b932a6ebc616bb623c", "generator_version": "3.0"}
{"id": "v3_test_id_00003258", "prompt": "Solve the equation x + 45 = -4x for x.", "solution_steps": ["Add 4x to both sides: 5x + 45 = 0", "Subtract 45 from both sides: 5x = -45", "Divide both sides by 5: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 45 = -4x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"c\": 45, \"x\": -9}", "seed": "11057888663301545910", "semantic_fingerprint": "sha256:db06cbbd85ea6442868f3feb5db8ac528ec82b17dacc1e8cf97d3066ad350f5d", "generator_version": "3.0"}
{"id": "v3_test_id_00003259", "prompt": "Calculate: -78 + (-73) / (-7) * 9", "solution_steps": ["Divide: -73 / (-7) = 73/7", "Multiply: (73/7) * 9 = 657/7", "Add: -78 + 657/7 = 111/7"], "final_answer": "111/7", "answer_type": "rational", "kind": "expression", "math_text": "-78 + (-73) / (-7) * 9", "variable": null, "family": "expression_3op", "shape": "(+ n (* (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": -73, \"c\": -7, \"d\": 9}", "seed": "549287268869305564", "semantic_fingerprint": "sha256:3cd4fa5d8093149abce10432bf1658bf0cbb69f6e7261fb3098f008b512d30f9", "generator_version": "3.0"}
{"id": "v3_test_id_00003260", "prompt": "Solve for x: 2x - 253 = x - 252", "solution_steps": ["Subtract x from both sides: x - 253 = -252", "Add 253 to both sides: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 253 = x - 252", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 253, \"d\": -252, \"x\": 1}", "seed": "17797901331383016797", "semantic_fingerprint": "sha256:2287a6989c1d4c5cd97734bd4ba293c978aa04d656a4b798003c2dd9587d1609", "generator_version": "3.0"}
{"id": "v3_test_id_00003261", "prompt": "Compute: 1 * (-706)", "solution_steps": ["Multiply: 1 * (-706) = -706"], "final_answer": "-706", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-706)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -706}", "seed": "10062801346475286654", "semantic_fingerprint": "sha256:5a06b181261ecfa4f05caa90358244c991ef41259e6471f59730b9a423b4facf", "generator_version": "3.0"}
{"id": "v3_test_id_00003262", "prompt": "Calculate: -80 / 6 * (-3)", "solution_steps": ["Divide: -80 / 6 = -40/3", "Multiply: (-40/3) * (-3) = 40"], "final_answer": "40", "answer_type": "integer", "kind": "expression", "math_text": "-80 / 6 * (-3)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": 6, \"c\": -3}", "seed": "8189570563204301575", "semantic_fingerprint": "sha256:7a4fde00aadb5e5e622f4a49186dcfd659a3e13760f1bc68ffe9987eaa01ebf5", "generator_version": "3.0"}
{"id": "v3_test_id_00003263", "prompt": "Calculate: 601 - 91", "solution_steps": ["Subtract: 601 - 91 = 510"], "final_answer": "510", "answer_type": "integer", "kind": "expression", "math_text": "601 - 91", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 601, \"b\": 91}", "seed": "12445570521941602376", "semantic_fingerprint": "sha256:c43354861a9758c6238a5753d3670ef1a4690b48aa14b2422d3f888275de0480", "generator_version": "3.0"}
{"id": "v3_test_id_00003264", "prompt": "Calculate: -8 / (-28) - (-23 + 3)", "solution_steps": ["Divide: -8 / (-28) = 2/7", "Add: -23 + 3 = -20", "Subtract: 2/7 - (-20) = 142/7"], "final_answer": "142/7", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (-28) - (-23 + 3)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -28, \"c\": -23, \"d\": 3}", "seed": "17288380782937495070", "semantic_fingerprint": "sha256:6b8cbddd3c61960170eedb1c50752c8a9e2c4b1a5f9bc94d83919a9dc4cfac56", "generator_version": "3.0"}
{"id": "v3_test_id_00003265", "prompt": "Compute: -99 - (1 * (-68) * (-68 + 6) + 704)", "solution_steps": ["Multiply: 1 * (-68) = -68", "Add: -68 + 6 = -62", "Multiply: -68 * (-62) = 4216", "Add: 4216 + 704 = 4920", "Subtract: -99 - 4920 = -5019"], "final_answer": "-5019", "answer_type": "integer", "kind": "expression", "math_text": "-99 - (1 * (-68) * (-68 + 6) + 704)", "variable": null, "family": "expression_5op", "shape": "(- n (+ (* (* n n) (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": 1, \"c\": -68, \"d\": -68, \"e\": 6, \"f\": 704}", "seed": "9400893338459953822", "semantic_fingerprint": "sha256:984ce5360ea330f4b33d81a241fba65ef8c42789acdaf11b7a513185234ca329", "generator_version": "3.0"}
{"id": "v3_test_id_00003266", "prompt": "Compute: (95 + 90) / 939", "solution_steps": ["Add: 95 + 90 = 185", "Divide: 185 / 939 = 185/939"], "final_answer": "185/939", "answer_type": "rational", "kind": "expression", "math_text": "(95 + 90) / 939", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": 90, \"c\": 939}", "seed": "12480041219253480650", "semantic_fingerprint": "sha256:7b27c869db1f5297b8420499bdc94e43dd52c8c806caca5539aec49584b167e7", "generator_version": "3.0"}
{"id": "v3_test_id_00003267", "prompt": "Solve the equation 12(x + 8) = 6(x - 15) for x.", "solution_steps": ["Expand: 12x + 96 = 6(x - 15)", "Expand: 12x + 96 = 6x - 90", "Subtract 6x from both sides: 6x + 96 = -90", "Subtract 96 from both sides: 6x = -186", "Divide both sides by 6: x = -31"], "final_answer": "-31", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 8) = 6(x - 15)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 8, \"c\": 6, \"d\": 15}", "seed": "6545717333531296588", "semantic_fingerprint": "sha256:a0a6e840bfadbe88dcf1683e51718f981392b58be3343a8e2fffdf13ae197796", "generator_version": "3.0"}
{"id": "v3_test_id_00003268", "prompt": "Solve for x: 6x - 769 = 7", "solution_steps": ["Add 769 to both sides: 6x = 776", "Divide both sides by 6: x = 388/3"], "final_answer": "388/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x - 769 = 7", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 769, \"c\": 7}", "seed": "7883032850638342741", "semantic_fingerprint": "sha256:fbb8dc6aa3fda90b5e63ef2ca0a9494873b2d780d0bfe8384b2a2776997aead6", "generator_version": "3.0"}
{"id": "v3_test_id_00003269", "prompt": "Calculate: 859 / (88 / (825 - 61))", "solution_steps": ["Subtract: 825 - 61 = 764", "Divide: 88 / 764 = 22/191", "Divide: 859 / (22/191) = 164069/22"], "final_answer": "164069/22", "answer_type": "rational", "kind": "expression", "math_text": "859 / (88 / (825 - 61))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 859, \"b\": 88, \"c\": 825, \"d\": 61}", "seed": "18181132817697704694", "semantic_fingerprint": "sha256:c9e3e2fdce0e8503df7606f5a8b7c137afd41bd654e0e32e1827666ea194ce3d", "generator_version": "3.0"}
{"id": "v3_test_id_00003270", "prompt": "Compute: 67 + (-35) * (-74)", "solution_steps": ["Multiply: -35 * (-74) = 2590", "Add: 67 + 2590 = 2657"], "final_answer": "2657", "answer_type": "integer", "kind": "expression", "math_text": "67 + (-35) * (-74)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": -35, \"c\": -74}", "seed": "9379605697819226774", "semantic_fingerprint": "sha256:fc66fa500aab5ce333b6f7b8ae3392dd764326d9558c6da5ec86112ff7d70891", "generator_version": "3.0"}
{"id": "v3_test_id_00003271", "prompt": "Compute: -2 - 380 * (937 + (-75))", "solution_steps": ["Add: 937 + (-75) = 862", "Multiply: 380 * 862 = 327560", "Subtract: -2 - 327560 = -327562"], "final_answer": "-327562", "answer_type": "integer", "kind": "expression", "math_text": "-2 - 380 * (937 + (-75))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 380, \"c\": 937, \"d\": -75}", "seed": "3354317034727108790", "semantic_fingerprint": "sha256:b6585cc4dff94041f8478d855e138fe161d5b007fd6b9a59c669eecfe214cb20", "generator_version": "3.0"}
{"id": "v3_test_id_00003272", "prompt": "Compute: 26 / 413", "solution_steps": ["Divide: 26 / 413 = 26/413"], "final_answer": "26/413", "answer_type": "rational", "kind": "expression", "math_text": "26 / 413", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": 413}", "seed": "8564795636452360975", "semantic_fingerprint": "sha256:b39176aaf5fc9c80f1ce445a782daa20fa1f63e0afe9c48c990e293c21845c0c", "generator_version": "3.0"}
{"id": "v3_test_id_00003273", "prompt": "Solve for x: 2x = 9x - 98", "solution_steps": ["Subtract 9x from both sides: -7x = -98", "Divide both sides by -7: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = 9x - 98", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"d\": -98, \"x\": 14}", "seed": "1660068549701134629", "semantic_fingerprint": "sha256:8b2d0941ed3c9e10e4d6cb71400eb43e80e55b098e5e6c24f61d96b39bafe73f", "generator_version": "3.0"}
{"id": "v3_test_id_00003274", "prompt": "What value of x satisfies x = 4(x + 8) + 7?", "solution_steps": ["Expand: x = 4x + 32 + 7", "Combine constants: x = 4x + 39", "Subtract 4x from both sides: -3x = 39", "Divide both sides by -3: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 4(x + 8) + 7", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 8, \"d\": 7, \"x\": -13}", "seed": "7809509096598706762", "semantic_fingerprint": "sha256:80c796c2fc512d0fcfef474db514f9eae3d83a8d3fbc256c247168dbde5212ab", "generator_version": "3.0"}
{"id": "v3_test_id_00003275", "prompt": "What is (-33 - (-2)) / (-505) * (-14)?", "solution_steps": ["Subtract: -33 - (-2) = -31", "Divide: -31 / (-505) = 31/505", "Multiply: (31/505) * (-14) = -434/505"], "final_answer": "-434/505", "answer_type": "rational", "kind": "expression", "math_text": "(-33 - (-2)) / (-505) * (-14)", "variable": null, "family": "expression_3op", "shape": "(* (/ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": -2, \"c\": -505, \"d\": -14}", "seed": "13202685885796379597", "semantic_fingerprint": "sha256:465156bb7f4303895d3956d4c96a61a1c7493f2549c4d3fc6d16675b97d61f44", "generator_version": "3.0"}
{"id": "v3_test_id_00003276", "prompt": "What value of x satisfies x = 7x + 48?", "solution_steps": ["Subtract 7x from both sides: -6x = 48", "Divide both sides by -6: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 7x + 48", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"c\": 48, \"x\": -8}", "seed": "5959586254954967784", "semantic_fingerprint": "sha256:340adbd1079f4b7f834a521c4f837b2ef24a7ddb36e2139e35b14a3053863f37", "generator_version": "3.0"}
{"id": "v3_test_id_00003277", "prompt": "What value of x satisfies x = 10x - 117?", "solution_steps": ["Subtract 10x from both sides: -9x = -117", "Divide both sides by -9: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 10x - 117", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 10, \"c\": -117, \"x\": 13}", "seed": "6956765336203146847", "semantic_fingerprint": "sha256:4929c780d1b2540198eb51d8c0cd4c63fb8c7673163e18f7b01ba1b856d8722c", "generator_version": "3.0"}
{"id": "v3_test_id_00003278", "prompt": "What value of x satisfies 8(x - 1) = -10x + 136?", "solution_steps": ["Expand: 8x - 8 = -10x + 136", "Add 10x to both sides: 18x - 8 = 136", "Add 8 to both sides: 18x = 144", "Divide both sides by 18: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 1) = -10x + 136", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1, \"c\": -10, \"e\": 136, \"x\": 8}", "seed": "10106087085431682519", "semantic_fingerprint": "sha256:76d2dc8b51d05e4159686ada9e081a022c998ff20def5e600a9c014f494661b7", "generator_version": "3.0"}
{"id": "v3_test_id_00003279", "prompt": "What is 56 * (8 - (-5) * 789)?", "solution_steps": ["Multiply: -5 * 789 = -3945", "Subtract: 8 - (-3945) = 3953", "Multiply: 56 * 3953 = 221368"], "final_answer": "221368", "answer_type": "integer", "kind": "expression", "math_text": "56 * (8 - (-5) * 789)", "variable": null, "family": "expression_3op", "shape": "(* n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 8, \"c\": -5, \"d\": 789}", "seed": "10261696877517494165", "semantic_fingerprint": "sha256:3c6feefa6523b966c741b1dd65005bdaff6ce8f45991a83d164603a6cb7ce4d8", "generator_version": "3.0"}
{"id": "v3_test_id_00003280", "prompt": "Evaluate: 5 + (-4) * (-8 - 20 - 41 / (-49))", "solution_steps": ["Subtract: -8 - 20 = -28", "Divide: 41 / (-49) = -41/49", "Subtract: -28 - (-41/49) = -1331/49", "Multiply: -4 * (-1331/49) = 5324/49", "Add: 5 + 5324/49 = 5569/49"], "final_answer": "5569/49", "answer_type": "rational", "kind": "expression", "math_text": "5 + (-4) * (-8 - 20 - 41 / (-49))", "variable": null, "family": "expression_5op", "shape": "(+ n (* n (- (- n n) (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -4, \"c\": -8, \"d\": 20, \"e\": 41, \"f\": -49}", "seed": "5306167709707866290", "semantic_fingerprint": "sha256:f5da36ec015bc30548fd8873f2e1659cb324d98e885189702376cbb3260ec3a6", "generator_version": "3.0"}
{"id": "v3_test_id_00003281", "prompt": "Find x: 11(x + 2) = -7(x - 342)", "solution_steps": ["Expand: 11x + 22 = -7(x - 342)", "Expand: 11x + 22 = -7x + 2394", "Add 7x to both sides: 18x + 22 = 2394", "Subtract 22 from both sides: 18x = 2372", "Divide both sides by 18: x = 1186/9"], "final_answer": "1186/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 2) = -7(x - 342)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 2, \"c\": -7, \"d\": 342}", "seed": "16677318232865518152", "semantic_fingerprint": "sha256:31ef830184e5a81623a0e94a826881e11d1fb9646ea556efeb34176340eafdc0", "generator_version": "3.0"}
{"id": "v3_test_id_00003282", "prompt": "Solve for x: 10(x - 6) - 264 = -3(x - 52) + 26", "solution_steps": ["Expand: 10x - 60 - 264 = -3(x - 52) + 26", "Expand: 10x - 60 - 264 = -3x + 156 + 26", "Combine constants: 10x - 324 = -3x + 156 + 26", "Combine constants: 10x - 324 = -3x + 182", "Add 3x to both sides: 13x - 324 = 182", "Add 324 to both sides: 13x = 506", "Divide both sides by 13: x = 506/13"], "final_answer": "506/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 6) - 264 = -3(x - 52) + 26", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 6, \"c\": 264, \"d\": -3, \"e\": 52, \"f\": 26}", "seed": "10903158234010148054", "semantic_fingerprint": "sha256:97bb8ba94273ecd353f3bc53c64a1ca3db3b261c03147488588f6e006a3b472e", "generator_version": "3.0"}
{"id": "v3_test_id_00003283", "prompt": "What value of x satisfies 9(x - 9) + 185 = x?", "solution_steps": ["Expand: 9x - 81 + 185 = x", "Combine constants: 9x + 104 = x", "Subtract x from both sides: 8x + 104 = 0", "Subtract 104 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 - 9) + 185 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"d\": 185, \"x\": -13}", "seed": "12195162612339348067", "semantic_fingerprint": "sha256:515bdbe758218656e2c23fce39096c6f6120d9f0e2a24088fa590a37bde29127", "generator_version": "3.0"}
{"id": "v3_test_id_00003284", "prompt": "Calculate: 179 - (-46) / (-64)", "solution_steps": ["Divide: -46 / (-64) = 23/32", "Subtract: 179 - 23/32 = 5705/32"], "final_answer": "5705/32", "answer_type": "rational", "kind": "expression", "math_text": "179 - (-46) / (-64)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 179, \"b\": -46, \"c\": -64}", "seed": "12654391211064306676", "semantic_fingerprint": "sha256:2d4b8f1200d5ffc4f8aefcfc9e34fee8dc253e6e261fb0410987527134c05dff", "generator_version": "3.0"}
{"id": "v3_test_id_00003285", "prompt": "Solve the equation -4x + 770 = 3(x + 273) for x.", "solution_steps": ["Expand: -4x + 770 = 3x + 819", "Subtract 3x from both sides: -7x + 770 = 819", "Subtract 770 from both sides: -7x = 49", "Divide both sides by -7: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x + 770 = 3(x + 273)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 3, \"c\": 273, \"e\": 770, \"x\": -7}", "seed": "2921915992519206723", "semantic_fingerprint": "sha256:48702d661f3667dabb49850010c841a3842215cdf9cdf2036b74eea824205b21", "generator_version": "3.0"}
{"id": "v3_test_id_00003286", "prompt": "What value of x satisfies 7(x - 59) = -7(x + 8)?", "solution_steps": ["Expand: 7x - 413 = -7(x + 8)", "Expand: 7x - 413 = -7x - 56", "Add 7x to both sides: 14x - 413 = -56", "Add 413 to both sides: 14x = 357", "Divide both sides by 14: x = 51/2"], "final_answer": "51/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 59) = -7(x + 8)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 59, \"c\": -7, \"d\": 8}", "seed": "161777328217768246", "semantic_fingerprint": "sha256:cfc24779088073ac5dbb3623fa16ed29c213e26174de5038c3c8150ac44a6fd0", "generator_version": "3.0"}
{"id": "v3_test_id_00003287", "prompt": "What value of x satisfies 12(x - 8) = x - 250?", "solution_steps": ["Expand: 12x - 96 = x - 250", "Subtract x from both sides: 11x - 96 = -250", "Add 96 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 - 8) = x - 250", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 8, \"d\": -250, \"x\": -14}", "seed": "15474166386192781262", "semantic_fingerprint": "sha256:9c15c6fec001091bfd5d7fc6df2880d0a5347509641a9505b5bd0ae21b889029", "generator_version": "3.0"}
{"id": "v3_test_id_00003288", "prompt": "Evaluate: 5 + 175 * 93", "solution_steps": ["Multiply: 175 * 93 = 16275", "Add: 5 + 16275 = 16280"], "final_answer": "16280", "answer_type": "integer", "kind": "expression", "math_text": "5 + 175 * 93", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 175, \"c\": 93}", "seed": "16468346591897841194", "semantic_fingerprint": "sha256:5d6d312b9377405aef6aff7f5c6a53c1121ed889e17332f485395c54e5ff065a", "generator_version": "3.0"}
{"id": "v3_test_id_00003289", "prompt": "Calculate: (-5 - 3) / 3 - (-8)", "solution_steps": ["Subtract: -5 - 3 = -8", "Divide: -8 / 3 = -8/3", "Subtract: -8/3 - (-8) = 16/3"], "final_answer": "16/3", "answer_type": "rational", "kind": "expression", "math_text": "(-5 - 3) / 3 - (-8)", "variable": null, "family": "expression_3op", "shape": "(- (/ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 3, \"c\": 3, \"d\": -8}", "seed": "7769988448006078134", "semantic_fingerprint": "sha256:28bc9820ebfdb181c26e713ab93431cd605cdaf812789f72ed7e2c63e902b887", "generator_version": "3.0"}
{"id": "v3_test_id_00003290", "prompt": "Find x: 3(x - 5) + 92 = x - 64", "solution_steps": ["Expand: 3x - 15 + 92 = x - 64", "Combine constants: 3x + 77 = x - 64", "Subtract x from both sides: 2x + 77 = -64", "Subtract 77 from both sides: 2x = -141", "Divide both sides by 2: x = -141/2"], "final_answer": "-141/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 5) + 92 = x - 64", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 5, \"c\": 92, \"d\": 64}", "seed": "6490745422231699581", "semantic_fingerprint": "sha256:4c1feaa2a9d1eab5a7ffa80a66c77c04ce41dc660da66a8bcff4418a03c85d3b", "generator_version": "3.0"}
{"id": "v3_test_id_00003291", "prompt": "What value of x satisfies x = 9(x - 5) + 181?", "solution_steps": ["Expand: x = 9x - 45 + 181", "Combine constants: x = 9x + 136", "Subtract 9x from both sides: -8x = 136", "Divide both sides by -8: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 9(x - 5) + 181", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"d\": 181, \"x\": -17}", "seed": "461616999930109642", "semantic_fingerprint": "sha256:5b02abd747b0609e04d77a27d802186e16cde616ed0813c332e4459418b66a6f", "generator_version": "3.0"}
{"id": "v3_test_id_00003292", "prompt": "Solve the equation 2x - 9 = 9(x - 1) - 587 for x.", "solution_steps": ["Expand: 2x - 9 = 9x - 9 - 587", "Combine constants: 2x - 9 = 9x - 596", "Subtract 9x from both sides: -7x - 9 = -596", "Add 9 to both sides: -7x = -587", "Divide both sides by -7: x = 587/7"], "final_answer": "587/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x - 9 = 9(x - 1) - 587", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 9, \"d\": 1, \"e\": 587}", "seed": "10425031134400101016", "semantic_fingerprint": "sha256:e02ec2bb75d2d22278aaf0497b75ffdf8777c33b68d3ce2bfcec58ca10189d44", "generator_version": "3.0"}
{"id": "v3_test_id_00003293", "prompt": "Compute: -58 + (-8 * 10 + (-117) + (420 + 82))", "solution_steps": ["Multiply: -8 * 10 = -80", "Add: -80 + (-117) = -197", "Add: 420 + 82 = 502", "Add: -197 + 502 = 305", "Add: -58 + 305 = 247"], "final_answer": "247", "answer_type": "integer", "kind": "expression", "math_text": "-58 + (-8 * 10 + (-117) + (420 + 82))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (+ (* n n) n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": -8, \"c\": 10, \"d\": -117, \"e\": 420, \"f\": 82}", "seed": "13084505187888735224", "semantic_fingerprint": "sha256:bd4df8cb083d63111aed07ebae847005f3caa509748ca20cb2af03968732f24b", "generator_version": "3.0"}
{"id": "v3_test_id_00003294", "prompt": "Calculate: (0 + (-1)) / (-5) - (-23)", "solution_steps": ["Add: 0 + (-1) = -1", "Divide: -1 / (-5) = 1/5", "Subtract: 1/5 - (-23) = 116/5"], "final_answer": "116/5", "answer_type": "rational", "kind": "expression", "math_text": "(0 + (-1)) / (-5) - (-23)", "variable": null, "family": "expression_3op", "shape": "(- (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -1, \"c\": -5, \"d\": -23}", "seed": "13395592125014258657", "semantic_fingerprint": "sha256:e6494bb5b838d6a888c03d06edc6896385f359640748ac177da4dadcecc0313f", "generator_version": "3.0"}
{"id": "v3_test_id_00003295", "prompt": "Evaluate: -29 * (-76) - (-305) / (-725)", "solution_steps": ["Multiply: -29 * (-76) = 2204", "Divide: -305 / (-725) = 61/145", "Subtract: 2204 - 61/145 = 319519/145"], "final_answer": "319519/145", "answer_type": "rational", "kind": "expression", "math_text": "-29 * (-76) - (-305) / (-725)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": -76, \"c\": -305, \"d\": -725}", "seed": "10359866443508845057", "semantic_fingerprint": "sha256:be2a4dd1eb6372c42348d5bbe98558489f33ef1a16640c4d71a6f5ddb7d18462", "generator_version": "3.0"}
{"id": "v3_test_id_00003296", "prompt": "Compute: 2 * 6 * (-364 * 1)", "solution_steps": ["Multiply: 2 * 6 = 12", "Multiply: -364 * 1 = -364", "Multiply: 12 * (-364) = -4368"], "final_answer": "-4368", "answer_type": "integer", "kind": "expression", "math_text": "2 * 6 * (-364 * 1)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": -364, \"d\": 1}", "seed": "8948741339476500553", "semantic_fingerprint": "sha256:a88ec21ec23574bdb604f644191feb68c045166b0680c3a0efc0f9cf83d51d86", "generator_version": "3.0"}
{"id": "v3_test_id_00003297", "prompt": "What is -25 + 430?", "solution_steps": ["Add: -25 + 430 = 405"], "final_answer": "405", "answer_type": "integer", "kind": "expression", "math_text": "-25 + 430", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": 430}", "seed": "2272273107944727621", "semantic_fingerprint": "sha256:42a121d9932547101e395d15e6f6051e7734b845f21a06912ca8193efc43f05d", "generator_version": "3.0"}
{"id": "v3_test_id_00003298", "prompt": "What is -419 + (-87) / (-868)?", "solution_steps": ["Divide: -87 / (-868) = 87/868", "Add: -419 + 87/868 = -363605/868"], "final_answer": "-363605/868", "answer_type": "rational", "kind": "expression", "math_text": "-419 + (-87) / (-868)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -419, \"b\": -87, \"c\": -868}", "seed": "2997034520791942481", "semantic_fingerprint": "sha256:2ca3fd8468bca0f2892bc1396659aeba78722c41775f07df296ce5430cc7709a", "generator_version": "3.0"}
{"id": "v3_test_id_00003299", "prompt": "What is -30 * (-59) - (-82 + 68)?", "solution_steps": ["Multiply: -30 * (-59) = 1770", "Add: -82 + 68 = -14", "Subtract: 1770 - (-14) = 1784"], "final_answer": "1784", "answer_type": "integer", "kind": "expression", "math_text": "-30 * (-59) - (-82 + 68)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": -59, \"c\": -82, \"d\": 68}", "seed": "16616012854874021227", "semantic_fingerprint": "sha256:3a2f38c5440481cbcdfd6330ce5b55bad3ec883752f23096ed1d2addcb254e6a", "generator_version": "3.0"}
{"id": "v3_test_id_00003300", "prompt": "Solve the equation 9x = 8(x - 856) for x.", "solution_steps": ["Expand: 9x = 8x - 6848", "Subtract 8x from both sides: x = -6848"], "final_answer": "-6848", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 8(x - 856)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": 856}", "seed": "4429861794146083658", "semantic_fingerprint": "sha256:ca1c87dc83cd1335440411e3a7b1699856068222f60fc114cd14646420715e66", "generator_version": "3.0"}
{"id": "v3_test_id_00003301", "prompt": "Evaluate: -39 - 9", "solution_steps": ["Subtract: -39 - 9 = -48"], "final_answer": "-48", "answer_type": "integer", "kind": "expression", "math_text": "-39 - 9", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": 9}", "seed": "17947885906833742739", "semantic_fingerprint": "sha256:e00d4625016496b0c88d5caf4d0e3b9d2ed5de0502ed408afb65e1c381d13a23", "generator_version": "3.0"}
{"id": "v3_test_id_00003302", "prompt": "Find x: 2(x + 67) + 20 = -8x - 998", "solution_steps": ["Expand: 2x + 134 + 20 = -8x - 998", "Combine constants: 2x + 154 = -8x - 998", "Add 8x to both sides: 10x + 154 = -998", "Subtract 154 from both sides: 10x = -1152", "Divide both sides by 10: x = -576/5"], "final_answer": "-576/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 67) + 20 = -8x - 998", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 67, \"c\": 20, \"d\": -8, \"e\": 998}", "seed": "40047206710736000", "semantic_fingerprint": "sha256:9fa0fae0cf0d46aacb91ca939738cdbb2aa3a08896b7e3d2fcffd72ee4971dfa", "generator_version": "3.0"}
{"id": "v3_test_id_00003303", "prompt": "What is 47 - (-74) - (6 - 723) + (66 + 9)?", "solution_steps": ["Subtract: 47 - (-74) = 121", "Subtract: 6 - 723 = -717", "Subtract: 121 - (-717) = 838", "Add: 66 + 9 = 75", "Add: 838 + 75 = 913"], "final_answer": "913", "answer_type": "integer", "kind": "expression", "math_text": "47 - (-74) - (6 - 723) + (66 + 9)", "variable": null, "family": "expression_5op", "shape": "(+ (- (- n n) (- n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": -74, \"c\": 6, \"d\": 723, \"e\": 66, \"f\": 9}", "seed": "1558891827394079338", "semantic_fingerprint": "sha256:475ad699a4e3090a922b382953a251d2eb5b7cb5e2a09c591990836bc6331cb0", "generator_version": "3.0"}
{"id": "v3_test_id_00003304", "prompt": "What is -52 / (-18 * 777)?", "solution_steps": ["Multiply: -18 * 777 = -13986", "Divide: -52 / (-13986) = 26/6993"], "final_answer": "26/6993", "answer_type": "rational", "kind": "expression", "math_text": "-52 / (-18 * 777)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": -18, \"c\": 777}", "seed": "16538167288119566000", "semantic_fingerprint": "sha256:a980bed7d3ed11bebcc8029fa45e24777fe9506375e9db875e6036f29c03591a", "generator_version": "3.0"}
{"id": "v3_test_id_00003305", "prompt": "Calculate: 2 / (2 * (-36 - 223))", "solution_steps": ["Subtract: -36 - 223 = -259", "Multiply: 2 * (-259) = -518", "Divide: 2 / (-518) = -1/259"], "final_answer": "-1/259", "answer_type": "rational", "kind": "expression", "math_text": "2 / (2 * (-36 - 223))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": -36, \"d\": 223}", "seed": "11943028924835549316", "semantic_fingerprint": "sha256:5b5cdde633c6c621691fdcc583f7a6c07027fb4d9de9cc961bcc38bcfa417919", "generator_version": "3.0"}
{"id": "v3_test_id_00003306", "prompt": "What is 14 + 210?", "solution_steps": ["Add: 14 + 210 = 224"], "final_answer": "224", "answer_type": "integer", "kind": "expression", "math_text": "14 + 210", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 210}", "seed": "1420555387405820943", "semantic_fingerprint": "sha256:617dc2d2cf362bc691a4d7ef8fea09b7eb73dd091155d20efc0a1c0cdc9783f9", "generator_version": "3.0"}
{"id": "v3_test_id_00003307", "prompt": "Compute: 0 - (-7) * 58", "solution_steps": ["Multiply: -7 * 58 = -406", "Subtract: 0 - (-406) = 406"], "final_answer": "406", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-7) * 58", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -7, \"c\": 58}", "seed": "1952169651238604987", "semantic_fingerprint": "sha256:fad4a5bfee412adbd01b3625e4f1e3dcf95f7b5d32adb9a77580a8a6b32c7d7f", "generator_version": "3.0"}
{"id": "v3_test_id_00003308", "prompt": "Solve the equation x + 97 = 5x + 157 for x.", "solution_steps": ["Subtract 5x from both sides: -4x + 97 = 157", "Subtract 97 from both sides: -4x = 60", "Divide both sides by -4: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 97 = 5x + 157", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": 5, \"d\": 157, \"x\": -15}", "seed": "10727836804838308964", "semantic_fingerprint": "sha256:e8104be90e95c5977434547bbe6dea79d7051961ec8f9cc1a2101466fc3c7c37", "generator_version": "3.0"}
{"id": "v3_test_id_00003309", "prompt": "What is 66 / 90 - 8?", "solution_steps": ["Divide: 66 / 90 = 11/15", "Subtract: 11/15 - 8 = -109/15"], "final_answer": "-109/15", "answer_type": "rational", "kind": "expression", "math_text": "66 / 90 - 8", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": 90, \"c\": 8}", "seed": "8215285633416340113", "semantic_fingerprint": "sha256:8a35e324cf10128e7db155c69d7af5d2266c8c7b91b49c0f2172d11f096ea7fd", "generator_version": "3.0"}
{"id": "v3_test_id_00003310", "prompt": "What value of x satisfies x = 8x + 112?", "solution_steps": ["Subtract 8x from both sides: -7x = 112", "Divide both sides by -7: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 8x + 112", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"c\": 112, \"x\": -16}", "seed": "12839038271341781892", "semantic_fingerprint": "sha256:75b87fba9d188d5abf1fc06af9d4f498181afced814350ef0cea1887d2714edc", "generator_version": "3.0"}
{"id": "v3_test_id_00003311", "prompt": "Calculate: (-9 + 442) * 27 + (-79)", "solution_steps": ["Add: -9 + 442 = 433", "Multiply: 433 * 27 = 11691", "Add: 11691 + (-79) = 11612"], "final_answer": "11612", "answer_type": "integer", "kind": "expression", "math_text": "(-9 + 442) * 27 + (-79)", "variable": null, "family": "expression_3op", "shape": "(+ (* (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 442, \"c\": 27, \"d\": -79}", "seed": "4681433932023947168", "semantic_fingerprint": "sha256:2412c6e85fefbc391519f5f78955c30414346d6b2a487c737629b6dae8b9d694", "generator_version": "3.0"}
{"id": "v3_test_id_00003312", "prompt": "What value of x satisfies 3x - 2 = x + 38?", "solution_steps": ["Subtract x from both sides: 2x - 2 = 38", "Add 2 to both sides: 2x = 40", "Divide both sides by 2: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 2 = x + 38", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"d\": 38, \"x\": 20}", "seed": "18180070009873894545", "semantic_fingerprint": "sha256:e16b1e38bd0c63ff50fe913078fef5db00a699825875089caaadf4860b8d9423", "generator_version": "3.0"}
{"id": "v3_test_id_00003313", "prompt": "Compute: (55 + (-23)) * (-71 / (-6) - (-5))", "solution_steps": ["Add: 55 + (-23) = 32", "Divide: -71 / (-6) = 71/6", "Subtract: 71/6 - (-5) = 101/6", "Multiply: 32 * (101/6) = 1616/3"], "final_answer": "1616/3", "answer_type": "rational", "kind": "expression", "math_text": "(55 + (-23)) * (-71 / (-6) - (-5))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": -23, \"c\": -71, \"d\": -6, \"e\": -5}", "seed": "17766527698689914502", "semantic_fingerprint": "sha256:74c08a6b26b686852b6518be92a6e7e790239bfa1bd01003c690c9dc0154198d", "generator_version": "3.0"}
{"id": "v3_test_id_00003314", "prompt": "Calculate: 91 - (48 - 1 + (-64))", "solution_steps": ["Subtract: 48 - 1 = 47", "Add: 47 + (-64) = -17", "Subtract: 91 - (-17) = 108"], "final_answer": "108", "answer_type": "integer", "kind": "expression", "math_text": "91 - (48 - 1 + (-64))", "variable": null, "family": "expression_3op", "shape": "(- n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": 48, \"c\": 1, \"d\": -64}", "seed": "9177150447515387610", "semantic_fingerprint": "sha256:4a0f3b281fa99c27f8d974fd5ea9ecf664d803536c4abeb61d38225ae6a16328", "generator_version": "3.0"}
{"id": "v3_test_id_00003315", "prompt": "Evaluate: 0 / (-1) / (89 * (537 + (-239) / 3))", "solution_steps": ["Divide: 0 / (-1) = 0", "Divide: -239 / 3 = -239/3", "Add: 537 + (-239/3) = 1372/3", "Multiply: 89 * (1372/3) = 122108/3", "Divide: 0 / (122108/3) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-1) / (89 * (537 + (-239) / 3))", "variable": null, "family": "expression_5op", "shape": "(/ (/ n n) (* n (+ n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -1, \"c\": 89, \"d\": 537, \"e\": -239, \"f\": 3}", "seed": "4915751579330135442", "semantic_fingerprint": "sha256:dd8b1f99b578dd149eff29167b8cc34b0e18841faf822e43e2f7b3782e92c1dd", "generator_version": "3.0"}
{"id": "v3_test_id_00003316", "prompt": "Calculate: -63 * 0 + 458 / (-765 + 22)", "solution_steps": ["Multiply: -63 * 0 = 0", "Add: -765 + 22 = -743", "Divide: 458 / (-743) = -458/743", "Add: 0 + (-458/743) = -458/743"], "final_answer": "-458/743", "answer_type": "rational", "kind": "expression", "math_text": "-63 * 0 + 458 / (-765 + 22)", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": 0, \"c\": 458, \"d\": -765, \"e\": 22}", "seed": "14807662255094544385", "semantic_fingerprint": "sha256:358e4d6bdaaf6308108acde7eb005d04b8327a57f092cd3f1b16f4f00d776718", "generator_version": "3.0"}
{"id": "v3_test_id_00003317", "prompt": "Calculate: 3 + (93 + (33 - 56))", "solution_steps": ["Subtract: 33 - 56 = -23", "Add: 93 + (-23) = 70", "Add: 3 + 70 = 73"], "final_answer": "73", "answer_type": "integer", "kind": "expression", "math_text": "3 + (93 + (33 - 56))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 93, \"c\": 33, \"d\": 56}", "seed": "10352962569499846739", "semantic_fingerprint": "sha256:8bea604de2b67136e995208ab612b47571affea875a3554100eea7384e08c5d3", "generator_version": "3.0"}
{"id": "v3_test_id_00003318", "prompt": "Solve the equation -11(x + 60) - 8 = 5x - 668 for x.", "solution_steps": ["Expand: -11x - 660 - 8 = 5x - 668", "Combine constants: -11x - 668 = 5x - 668", "Subtract 5x from both sides: -16x - 668 = -668", "Add 668 to both sides: -16x = 0", "Divide both sides by -16: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 60) - 8 = 5x - 668", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 60, \"c\": 8, \"d\": 5, \"f\": -668, \"x\": 0}", "seed": "14909434797355980353", "semantic_fingerprint": "sha256:f856622813dad15e997cd13e5e8bc5e0947c1a5478f77bf8356b2e4a85b1586f", "generator_version": "3.0"}
{"id": "v3_test_id_00003319", "prompt": "Find x: 4(x + 9) + 1 = 13", "solution_steps": ["Expand: 4x + 36 + 1 = 13", "Combine constants: 4x + 37 = 13", "Subtract 37 from both sides: 4x = -24", "Divide both sides by 4: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 9) + 1 = 13", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 1, \"e\": 13, \"x\": -6}", "seed": "10266791189088438470", "semantic_fingerprint": "sha256:14445d44a2b27251942f00b26ee0804da9b454fc5b139cf7d2aa5fed54807417", "generator_version": "3.0"}
{"id": "v3_test_id_00003320", "prompt": "Find x: 11(x + 4) - 2 = 82", "solution_steps": ["Expand: 11x + 44 - 2 = 82", "Combine constants: 11x + 42 = 82", "Subtract 42 from both sides: 11x = 40", "Divide both sides by 11: x = 40/11"], "final_answer": "40/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 4) - 2 = 82", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": 2, \"d\": 82}", "seed": "7991777915124615258", "semantic_fingerprint": "sha256:2da1353474e2ab974d455ee610ea6e375e9a3022a5e3e09d01798ed7977af978", "generator_version": "3.0"}
{"id": "v3_test_id_00003321", "prompt": "Calculate: 340 * (362 - (-241)) + (-58 - (-96))", "solution_steps": ["Subtract: 362 - (-241) = 603", "Multiply: 340 * 603 = 205020", "Subtract: -58 - (-96) = 38", "Add: 205020 + 38 = 205058"], "final_answer": "205058", "answer_type": "integer", "kind": "expression", "math_text": "340 * (362 - (-241)) + (-58 - (-96))", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 340, \"b\": 362, \"c\": -241, \"d\": -58, \"e\": -96}", "seed": "4740807738818892548", "semantic_fingerprint": "sha256:ca50931d6cae1927b7cef18bf78f0169cf3fd37b6e4fc86cb3ce5ecfda89a6d0", "generator_version": "3.0"}
{"id": "v3_test_id_00003322", "prompt": "Compute: 7 + (5 - (-648))", "solution_steps": ["Subtract: 5 - (-648) = 653", "Add: 7 + 653 = 660"], "final_answer": "660", "answer_type": "integer", "kind": "expression", "math_text": "7 + (5 - (-648))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": -648}", "seed": "9445165085277835128", "semantic_fingerprint": "sha256:f870af403af514e6b7f7ffd7b9bbcb17783fcebe161bed9e59112ef47ecae290", "generator_version": "3.0"}
{"id": "v3_test_id_00003323", "prompt": "Evaluate: 59 * 6 - 8", "solution_steps": ["Multiply: 59 * 6 = 354", "Subtract: 354 - 8 = 346"], "final_answer": "346", "answer_type": "integer", "kind": "expression", "math_text": "59 * 6 - 8", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": 6, \"c\": 8}", "seed": "6252572775959109243", "semantic_fingerprint": "sha256:a9a1029e1af1e23f66dd668032724e99a23cbdc8a0509b226869a0420c95544a", "generator_version": "3.0"}
{"id": "v3_test_id_00003324", "prompt": "Find x: x = 8(x - 85) + 610", "solution_steps": ["Expand: x = 8x - 680 + 610", "Combine constants: x = 8x - 70", "Subtract 8x from both sides: -7x = -70", "Divide both sides by -7: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 8(x - 85) + 610", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 85, \"d\": 610, \"x\": 10}", "seed": "5069035191870175014", "semantic_fingerprint": "sha256:e22e4175fe17b39480553a510a71fae7ae6f9713db5dc48a824c49a030f50506", "generator_version": "3.0"}
{"id": "v3_test_id_00003325", "prompt": "Evaluate: -75 - (-84)", "solution_steps": ["Subtract: -75 - (-84) = 9"], "final_answer": "9", "answer_type": "integer", "kind": "expression", "math_text": "-75 - (-84)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": -84}", "seed": "4416305451574065793", "semantic_fingerprint": "sha256:cfa700f88919eb7a635ad941eb0b9fa0b13fe6721cad92a2aaf0f82136fabd72", "generator_version": "3.0"}
{"id": "v3_test_id_00003326", "prompt": "Solve the equation -5x = 9x - 182 for x.", "solution_steps": ["Subtract 9x from both sides: -14x = -182", "Divide both sides by -14: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x = 9x - 182", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 9, \"d\": -182, \"x\": 13}", "seed": "16590530458089657997", "semantic_fingerprint": "sha256:f67ba2c04b3fc0cfa0123c358bbb452ffdc5d27d43eb96780a2b6ff49374bab2", "generator_version": "3.0"}
{"id": "v3_test_id_00003327", "prompt": "What is -8 / (-52) + (-47)?", "solution_steps": ["Divide: -8 / (-52) = 2/13", "Add: 2/13 + (-47) = -609/13"], "final_answer": "-609/13", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (-52) + (-47)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -52, \"c\": -47}", "seed": "6927342317929062290", "semantic_fingerprint": "sha256:2e4ae2fbf7a9daf0d03b1510717e6c666996650ceb60a6d13f15bbf163aa6d7d", "generator_version": "3.0"}
{"id": "v3_test_id_00003328", "prompt": "Compute: -80 * 8 / (-75 - 24 + 18)", "solution_steps": ["Multiply: -80 * 8 = -640", "Subtract: -75 - 24 = -99", "Add: -99 + 18 = -81", "Divide: -640 / (-81) = 640/81"], "final_answer": "640/81", "answer_type": "rational", "kind": "expression", "math_text": "-80 * 8 / (-75 - 24 + 18)", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -80, \"b\": 8, \"c\": -75, \"d\": 24, \"e\": 18}", "seed": "14496674620734429366", "semantic_fingerprint": "sha256:4c5b88aa893db0ff51977f88c4a23e6665a53826eca0bb271d026904e22b7fd0", "generator_version": "3.0"}
{"id": "v3_test_id_00003329", "prompt": "Compute: 4 * (1 / 832)", "solution_steps": ["Divide: 1 / 832 = 1/832", "Multiply: 4 * (1/832) = 1/208"], "final_answer": "1/208", "answer_type": "rational", "kind": "expression", "math_text": "4 * (1 / 832)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": 832}", "seed": "12126523357018952749", "semantic_fingerprint": "sha256:dfc418568a7059f1704bcd9e4a020612d0d1c9b23da97b6b661efe77c42b6b02", "generator_version": "3.0"}
{"id": "v3_test_id_00003330", "prompt": "Compute: -149 + (-71) * (-602)", "solution_steps": ["Multiply: -71 * (-602) = 42742", "Add: -149 + 42742 = 42593"], "final_answer": "42593", "answer_type": "integer", "kind": "expression", "math_text": "-149 + (-71) * (-602)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -149, \"b\": -71, \"c\": -602}", "seed": "3503088278704294251", "semantic_fingerprint": "sha256:883c6c638b5fd3a60fb02898cbfae11476f7cb2df8ce6065187398a597280c3c", "generator_version": "3.0"}
{"id": "v3_test_id_00003331", "prompt": "Solve the equation x + 5 = 4(x + 54) - 256 for x.", "solution_steps": ["Expand: x + 5 = 4x + 216 - 256", "Combine constants: x + 5 = 4x - 40", "Subtract 4x from both sides: -3x + 5 = -40", "Subtract 5 from both sides: -3x = -45", "Divide both sides by -3: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5 = 4(x + 54) - 256", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": 54, \"e\": -256, \"x\": 15}", "seed": "709541569977509700", "semantic_fingerprint": "sha256:7727d8a0ff5257db105ef4c069621aa8f52827c902c251aff157024a793fdb51", "generator_version": "3.0"}
{"id": "v3_test_id_00003332", "prompt": "Find x: 9(x + 494) = x", "solution_steps": ["Expand: 9x + 4446 = x", "Subtract x from both sides: 8x + 4446 = 0", "Subtract 4446 from both sides: 8x = -4446", "Divide both sides by 8: x = -2223/4"], "final_answer": "-2223/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 494) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 494}", "seed": "4756593952067701269", "semantic_fingerprint": "sha256:b322c19b4a4c1ea6924a382dd10deb9890d8e232ea62f4245aa7090502a88371", "generator_version": "3.0"}
{"id": "v3_test_id_00003333", "prompt": "Evaluate: (-49 + 8 * (85 - 18) / 81) * 57", "solution_steps": ["Subtract: 85 - 18 = 67", "Multiply: 8 * 67 = 536", "Divide: 536 / 81 = 536/81", "Add: -49 + 536/81 = -3433/81", "Multiply: (-3433/81) * 57 = -65227/27"], "final_answer": "-65227/27", "answer_type": "rational", "kind": "expression", "math_text": "(-49 + 8 * (85 - 18) / 81) * 57", "variable": null, "family": "expression_5op", "shape": "(* (+ n (/ (* n (- n n)) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": 8, \"c\": 85, \"d\": 18, \"e\": 81, \"f\": 57}", "seed": "17506410422273406728", "semantic_fingerprint": "sha256:cd281d43a69e6ca5529e8c04300fb239c2816f8d301d3f7d27962fa0028fa3ab", "generator_version": "3.0"}
{"id": "v3_test_id_00003334", "prompt": "What is 531 * (-50 + 13)?", "solution_steps": ["Add: -50 + 13 = -37", "Multiply: 531 * (-37) = -19647"], "final_answer": "-19647", "answer_type": "integer", "kind": "expression", "math_text": "531 * (-50 + 13)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 531, \"b\": -50, \"c\": 13}", "seed": "12697824003050112776", "semantic_fingerprint": "sha256:3d584ee12e84203542569892df404f111c3d2072a7d29dcf671ef388e3668ce5", "generator_version": "3.0"}
{"id": "v3_test_id_00003335", "prompt": "Evaluate: -16 - 331 - (-325)", "solution_steps": ["Subtract: -16 - 331 = -347", "Subtract: -347 - (-325) = -22"], "final_answer": "-22", "answer_type": "integer", "kind": "expression", "math_text": "-16 - 331 - (-325)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": 331, \"c\": -325}", "seed": "15215691099893299247", "semantic_fingerprint": "sha256:af821700f0498c901f779540b4e703065e94357500c5c8aea87267df6eb5cec4", "generator_version": "3.0"}
{"id": "v3_test_id_00003336", "prompt": "Find x: -7x - 72 = x", "solution_steps": ["Subtract x from both sides: -8x - 72 = 0", "Add 72 to both sides: -8x = 72", "Divide both sides by -8: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 72 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"c\": -72, \"x\": -9}", "seed": "6525542613557997217", "semantic_fingerprint": "sha256:3a11407a2ef6f3ff41e81fa782e910122f8fa92ee31ca297c26b03308c78cbfc", "generator_version": "3.0"}
{"id": "v3_test_id_00003337", "prompt": "What is -41 / (-572 - (-335)) / (6 / 72)?", "solution_steps": ["Subtract: -572 - (-335) = -237", "Divide: -41 / (-237) = 41/237", "Divide: 6 / 72 = 1/12", "Divide: (41/237) / (1/12) = 164/79"], "final_answer": "164/79", "answer_type": "rational", "kind": "expression", "math_text": "-41 / (-572 - (-335)) / (6 / 72)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (- n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": -572, \"c\": -335, \"d\": 6, \"e\": 72}", "seed": "5333793812131805164", "semantic_fingerprint": "sha256:f8e3cd54f8359d9d98614ae8167cdc78f31c6f7cdffc3206e2004c56b200415c", "generator_version": "3.0"}
{"id": "v3_test_id_00003338", "prompt": "What is 49 / ((38 - (38 + (-17))) / (-99))?", "solution_steps": ["Add: 38 + (-17) = 21", "Subtract: 38 - 21 = 17", "Divide: 17 / (-99) = -17/99", "Divide: 49 / (-17/99) = -4851/17"], "final_answer": "-4851/17", "answer_type": "rational", "kind": "expression", "math_text": "49 / ((38 - (38 + (-17))) / (-99))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (- n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": 38, \"c\": 38, \"d\": -17, \"e\": -99}", "seed": "17588858342838960433", "semantic_fingerprint": "sha256:2db253f922b52a5a0c74c38b49c91d26bd6a3702c36fa886f104987fcd2c8683", "generator_version": "3.0"}
{"id": "v3_test_id_00003339", "prompt": "Solve the equation 8(x + 8) + 9 = 217 for x.", "solution_steps": ["Expand: 8x + 64 + 9 = 217", "Combine constants: 8x + 73 = 217", "Subtract 73 from both sides: 8x = 144", "Divide both sides by 8: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 8) + 9 = 217", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 8, \"c\": 9, \"e\": 217, \"x\": 18}", "seed": "2669743870324922741", "semantic_fingerprint": "sha256:282ec5ae679fb4300711fa95d8f5c8385afe96d3d0ee3353367063e099fbaab2", "generator_version": "3.0"}
{"id": "v3_test_id_00003340", "prompt": "Solve for x: -11x = x - 192", "solution_steps": ["Subtract x from both sides: -12x = -192", "Divide both sides by -12: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x = x - 192", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"c\": -192, \"x\": 16}", "seed": "17404973371064863013", "semantic_fingerprint": "sha256:592e1bf7ad004c45df261d4952027e66f643f2c0e6bf9c750c07944c333feb5c", "generator_version": "3.0"}
{"id": "v3_test_id_00003341", "prompt": "Solve the equation -7(x - 852) = -12(x + 46) for x.", "solution_steps": ["Expand: -7x + 5964 = -12(x + 46)", "Expand: -7x + 5964 = -12x - 552", "Add 12x to both sides: 5x + 5964 = -552", "Subtract 5964 from both sides: 5x = -6516", "Divide both sides by 5: x = -6516/5"], "final_answer": "-6516/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x - 852) = -12(x + 46)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 852, \"c\": -12, \"d\": 46}", "seed": "303121883587708130", "semantic_fingerprint": "sha256:e6b242e3a11d74225772bdfec59a9c6bcd98d72dcc9b95980d5393a7db926f6b", "generator_version": "3.0"}
{"id": "v3_test_id_00003342", "prompt": "What is 51 * (-24)?", "solution_steps": ["Multiply: 51 * (-24) = -1224"], "final_answer": "-1224", "answer_type": "integer", "kind": "expression", "math_text": "51 * (-24)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": -24}", "seed": "10576685672765524588", "semantic_fingerprint": "sha256:71216ebfd2939cc818fd92cd851020d2944efdce5595df45eec82d6426667414", "generator_version": "3.0"}
{"id": "v3_test_id_00003343", "prompt": "Solve for x: x = 7x - 114", "solution_steps": ["Subtract 7x from both sides: -6x = -114", "Divide both sides by -6: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 7x - 114", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"c\": -114, \"x\": 19}", "seed": "18159961009477046937", "semantic_fingerprint": "sha256:4143fa340f4dfacd6c725bee6f10306b8427e122f9afec0467173bc33f61a365", "generator_version": "3.0"}
{"id": "v3_test_id_00003344", "prompt": "Evaluate: -5 + (73 * (-22) - 5) + 90 * (-24)", "solution_steps": ["Multiply: 73 * (-22) = -1606", "Subtract: -1606 - 5 = -1611", "Add: -5 + (-1611) = -1616", "Multiply: 90 * (-24) = -2160", "Add: -1616 + (-2160) = -3776"], "final_answer": "-3776", "answer_type": "integer", "kind": "expression", "math_text": "-5 + (73 * (-22) - 5) + 90 * (-24)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (- (* n n) n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 73, \"c\": -22, \"d\": 5, \"e\": 90, \"f\": -24}", "seed": "1616914578006279338", "semantic_fingerprint": "sha256:b62db5a78322bb0f82f42cd8a8c4fce3c15a64f393c0a3806cc657c7f661c08a", "generator_version": "3.0"}
{"id": "v3_test_id_00003345", "prompt": "Find x: 8x = -26", "solution_steps": ["Divide both sides by 8: x = -13/4"], "final_answer": "-13/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x = -26", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -26}", "seed": "13183594479158408720", "semantic_fingerprint": "sha256:45da063244fd057ef8cd868a95805313ac46b3f7eeb0f4c7bc915d3f9a73181e", "generator_version": "3.0"}
{"id": "v3_test_id_00003346", "prompt": "Calculate: 2 * 0 / (-86) + (-17)", "solution_steps": ["Multiply: 2 * 0 = 0", "Divide: 0 / (-86) = 0", "Add: 0 + (-17) = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "expression", "math_text": "2 * 0 / (-86) + (-17)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 0, \"c\": -86, \"d\": -17}", "seed": "11202638742041161431", "semantic_fingerprint": "sha256:71489bf96245a32576851642e8f8059b8e1814a2fa4c69c90dc05a2d5bc4702d", "generator_version": "3.0"}
{"id": "v3_test_id_00003347", "prompt": "Solve for x: 9x - 4 = 11(x - 4) + 24", "solution_steps": ["Expand: 9x - 4 = 11x - 44 + 24", "Combine constants: 9x - 4 = 11x - 20", "Subtract 11x from both sides: -2x - 4 = -20", "Add 4 to both sides: -2x = -16", "Divide both sides by -2: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 4 = 11(x - 4) + 24", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 4, \"c\": 11, \"d\": 4, \"e\": 24}", "seed": "14114313865125411421", "semantic_fingerprint": "sha256:27bafab5c4c5ec2036ac0d0d43063d8df28f205ba49a338103ec0784a17833b8", "generator_version": "3.0"}
{"id": "v3_test_id_00003348", "prompt": "Calculate: 2 * (0 - 2) - (-7)", "solution_steps": ["Subtract: 0 - 2 = -2", "Multiply: 2 * (-2) = -4", "Subtract: -4 - (-7) = 3"], "final_answer": "3", "answer_type": "integer", "kind": "expression", "math_text": "2 * (0 - 2) - (-7)", "variable": null, "family": "expression_3op", "shape": "(- (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 0, \"c\": 2, \"d\": -7}", "seed": "11828553011915667458", "semantic_fingerprint": "sha256:d1855783804764c872eeb852d633bdf74417271a21836f4e001a10680a0a2649", "generator_version": "3.0"}
{"id": "v3_test_id_00003349", "prompt": "What is 5 - 998 + (57 - (-61))?", "solution_steps": ["Subtract: 5 - 998 = -993", "Subtract: 57 - (-61) = 118", "Add: -993 + 118 = -875"], "final_answer": "-875", "answer_type": "integer", "kind": "expression", "math_text": "5 - 998 + (57 - (-61))", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 998, \"c\": 57, \"d\": -61}", "seed": "11120813313766718106", "semantic_fingerprint": "sha256:73b83d94e56c7798984850e16b3a1d7a3711f8c0fd672463217cb17f00f7e787", "generator_version": "3.0"}
{"id": "v3_test_id_00003350", "prompt": "Compute: -1 / (-553)", "solution_steps": ["Divide: -1 / (-553) = 1/553"], "final_answer": "1/553", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (-553)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -553}", "seed": "14696950653105644961", "semantic_fingerprint": "sha256:b5c4c8c5a2b40afa1368f8b97118bf166b797d7b363170f12c9054c11c9dff7d", "generator_version": "3.0"}
{"id": "v3_test_id_00003351", "prompt": "Compute: -79 + (59 - (-63 + (-2))) - 8 * 598", "solution_steps": ["Add: -63 + (-2) = -65", "Subtract: 59 - (-65) = 124", "Add: -79 + 124 = 45", "Multiply: 8 * 598 = 4784", "Subtract: 45 - 4784 = -4739"], "final_answer": "-4739", "answer_type": "integer", "kind": "expression", "math_text": "-79 + (59 - (-63 + (-2))) - 8 * 598", "variable": null, "family": "expression_5op", "shape": "(- (+ n (- n (+ n n))) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": 59, \"c\": -63, \"d\": -2, \"e\": 8, \"f\": 598}", "seed": "8190304947793437834", "semantic_fingerprint": "sha256:6a97ac598d44b30071ba1166b768fad8214e5f50bf0786a718790994dd4c5914", "generator_version": "3.0"}
{"id": "v3_test_id_00003352", "prompt": "What is 581 * (-74 * (7 + (-7) / 6))?", "solution_steps": ["Divide: -7 / 6 = -7/6", "Add: 7 + (-7/6) = 35/6", "Multiply: -74 * (35/6) = -1295/3", "Multiply: 581 * (-1295/3) = -752395/3"], "final_answer": "-752395/3", "answer_type": "rational", "kind": "expression", "math_text": "581 * (-74 * (7 + (-7) / 6))", "variable": null, "family": "expression_4op", "shape": "(* n (* n (+ n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 581, \"b\": -74, \"c\": 7, \"d\": -7, \"e\": 6}", "seed": "15168234113148499767", "semantic_fingerprint": "sha256:0dcfcbbd04f4265cd6313ed6e24768a87b1cc3b164545bfc26a5924a0600a296", "generator_version": "3.0"}
{"id": "v3_test_id_00003353", "prompt": "What is -69 - (-153) + 9?", "solution_steps": ["Subtract: -69 - (-153) = 84", "Add: 84 + 9 = 93"], "final_answer": "93", "answer_type": "integer", "kind": "expression", "math_text": "-69 - (-153) + 9", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": -153, \"c\": 9}", "seed": "1785561294070267323", "semantic_fingerprint": "sha256:778491a3e052e17df18a7945350fe29f920f9f756f896df197aa9525c489e30a", "generator_version": "3.0"}
{"id": "v3_test_id_00003354", "prompt": "Solve the equation 12(x - 7) - 454 = 2(x + 9) - 426 for x.", "solution_steps": ["Expand: 12x - 84 - 454 = 2(x + 9) - 426", "Expand: 12x - 84 - 454 = 2x + 18 - 426", "Combine constants: 12x - 538 = 2x + 18 - 426", "Combine constants: 12x - 538 = 2x - 408", "Subtract 2x from both sides: 10x - 538 = -408", "Add 538 to both sides: 10x = 130", "Divide both sides by 10: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 7) - 454 = 2(x + 9) - 426", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7, \"c\": 454, \"d\": 2, \"e\": 9, \"g\": -426, \"x\": 13}", "seed": "12839412574169109048", "semantic_fingerprint": "sha256:bbbeeed8acd0fb7dc20baf5083a94d5bf5120005b90290ea57fb170ec5cc97ca", "generator_version": "3.0"}
{"id": "v3_test_id_00003355", "prompt": "Solve for x: -3x - 40 = 7x", "solution_steps": ["Subtract 7x from both sides: -10x - 40 = 0", "Add 40 to both sides: -10x = 40", "Divide both sides by -10: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x - 40 = 7x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 7, \"d\": -40, \"x\": -4}", "seed": "16831368896427200967", "semantic_fingerprint": "sha256:fad5cac962d2b681a49dd330b8dc9be161a61772df1b9cd314cc8af8e62e5b65", "generator_version": "3.0"}
{"id": "v3_test_id_00003356", "prompt": "Compute: (173 - (578 + (-59))) / 24", "solution_steps": ["Add: 578 + (-59) = 519", "Subtract: 173 - 519 = -346", "Divide: -346 / 24 = -173/12"], "final_answer": "-173/12", "answer_type": "rational", "kind": "expression", "math_text": "(173 - (578 + (-59))) / 24", "variable": null, "family": "expression_3op", "shape": "(/ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 173, \"b\": 578, \"c\": -59, \"d\": 24}", "seed": "1654918919025773334", "semantic_fingerprint": "sha256:1ac0c3ff0a3eb5343a92f3e5de3b6480071b3bbceb368f907dbb626fc40153c5", "generator_version": "3.0"}
{"id": "v3_test_id_00003357", "prompt": "What is (5 - 6) * ((-3 - 190) * 7)?", "solution_steps": ["Subtract: 5 - 6 = -1", "Subtract: -3 - 190 = -193", "Multiply: -193 * 7 = -1351", "Multiply: -1 * (-1351) = 1351"], "final_answer": "1351", "answer_type": "integer", "kind": "expression", "math_text": "(5 - 6) * ((-3 - 190) * 7)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (* (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"c\": -3, \"d\": 190, \"e\": 7}", "seed": "346073270380467516", "semantic_fingerprint": "sha256:2a273836799736dab81b51129cc40b137e327871be2285591ec37c86fbfe445a", "generator_version": "3.0"}
{"id": "v3_test_id_00003358", "prompt": "Compute: 73 - (-73 + (-1))", "solution_steps": ["Add: -73 + (-1) = -74", "Subtract: 73 - (-74) = 147"], "final_answer": "147", "answer_type": "integer", "kind": "expression", "math_text": "73 - (-73 + (-1))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": -73, \"c\": -1}", "seed": "4343363045146758539", "semantic_fingerprint": "sha256:54510c75d919f825bf47245bbd9d30e780c9d7a2236274ee88dc43598ed2e6dd", "generator_version": "3.0"}
{"id": "v3_test_id_00003359", "prompt": "Evaluate: -19 * 9", "solution_steps": ["Multiply: -19 * 9 = -171"], "final_answer": "-171", "answer_type": "integer", "kind": "expression", "math_text": "-19 * 9", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": 9}", "seed": "3728958758527092716", "semantic_fingerprint": "sha256:33b2d5ac77eda54f03dc1982a001a4c3969d5fb48f0d4e32fb13850eec587306", "generator_version": "3.0"}
{"id": "v3_test_id_00003360", "prompt": "What value of x satisfies -2x = x - 57?", "solution_steps": ["Subtract x from both sides: -3x = -57", "Divide both sides by -3: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x = x - 57", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"c\": -57, \"x\": 19}", "seed": "2349182107902036630", "semantic_fingerprint": "sha256:422d6cb2de639ad30cfbff6e14f11bcbacd0f1056bdb3966ea82153e534cb471", "generator_version": "3.0"}
{"id": "v3_test_id_00003361", "prompt": "Compute: 277 * (443 - 309) - (-447)", "solution_steps": ["Subtract: 443 - 309 = 134", "Multiply: 277 * 134 = 37118", "Subtract: 37118 - (-447) = 37565"], "final_answer": "37565", "answer_type": "integer", "kind": "expression", "math_text": "277 * (443 - 309) - (-447)", "variable": null, "family": "expression_3op", "shape": "(- (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 277, \"b\": 443, \"c\": 309, \"d\": -447}", "seed": "8339169551980150986", "semantic_fingerprint": "sha256:c6615231cd9fb89ab4751b601b5f50cceccd86c1736b78cb2df5a4fb6ae44567", "generator_version": "3.0"}
{"id": "v3_test_id_00003362", "prompt": "Compute: -839 + 5 / 8", "solution_steps": ["Divide: 5 / 8 = 5/8", "Add: -839 + 5/8 = -6707/8"], "final_answer": "-6707/8", "answer_type": "rational", "kind": "expression", "math_text": "-839 + 5 / 8", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -839, \"b\": 5, \"c\": 8}", "seed": "7106603803080737264", "semantic_fingerprint": "sha256:d891a0ad6df0c0da21e6e40b20915a6f3374c73350d2eaab277d8f697c349862", "generator_version": "3.0"}
{"id": "v3_test_id_00003363", "prompt": "What is 220 - (-56) / (-9)?", "solution_steps": ["Divide: -56 / (-9) = 56/9", "Subtract: 220 - 56/9 = 1924/9"], "final_answer": "1924/9", "answer_type": "rational", "kind": "expression", "math_text": "220 - (-56) / (-9)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 220, \"b\": -56, \"c\": -9}", "seed": "6948416496188805876", "semantic_fingerprint": "sha256:414568510f917680575484ac2b5f3b552fb1243b50be22107ca4c2472efd41a9", "generator_version": "3.0"}
{"id": "v3_test_id_00003364", "prompt": "What is 67 - (-490 + 649)?", "solution_steps": ["Add: -490 + 649 = 159", "Subtract: 67 - 159 = -92"], "final_answer": "-92", "answer_type": "integer", "kind": "expression", "math_text": "67 - (-490 + 649)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": -490, \"c\": 649}", "seed": "7299899705136318516", "semantic_fingerprint": "sha256:d05210c86a4f18d9513f283c783a8b53e09cff46d4a7306d992bda8b9b3a28a6", "generator_version": "3.0"}
{"id": "v3_test_id_00003365", "prompt": "Solve for x: 8(x - 7) + 466 = x + 473", "solution_steps": ["Expand: 8x - 56 + 466 = x + 473", "Combine constants: 8x + 410 = x + 473", "Subtract x from both sides: 7x + 410 = 473", "Subtract 410 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 - 7) + 466 = x + 473", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": 466, \"e\": 473, \"x\": 9}", "seed": "7330412284608561013", "semantic_fingerprint": "sha256:e9b63f158e2ab41ceff96874ef2d008ff9214eb4701a24ea49e92f05107d062b", "generator_version": "3.0"}
{"id": "v3_test_id_00003366", "prompt": "What is -1 + (-23) / 902?", "solution_steps": ["Divide: -23 / 902 = -23/902", "Add: -1 + (-23/902) = -925/902"], "final_answer": "-925/902", "answer_type": "rational", "kind": "expression", "math_text": "-1 + (-23) / 902", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -23, \"c\": 902}", "seed": "11312745909671311207", "semantic_fingerprint": "sha256:01ea467e49144d7e9e7616894b26595f97bed4d924f7a63a6640c6f6db373251", "generator_version": "3.0"}
{"id": "v3_test_id_00003367", "prompt": "Find x: x = 2(x + 94) + 44", "solution_steps": ["Expand: x = 2x + 188 + 44", "Combine constants: x = 2x + 232", "Subtract 2x from both sides: -x = 232", "Divide both sides by -1: x = -232"], "final_answer": "-232", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 2(x + 94) + 44", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 94, \"c\": 44}", "seed": "12905949487377966463", "semantic_fingerprint": "sha256:319adb36e77f7a29494ad5c8a1b09c782308eb643c42bda2fa85e49601a92607", "generator_version": "3.0"}
{"id": "v3_test_id_00003368", "prompt": "What is (7 + (-37)) / 334?", "solution_steps": ["Add: 7 + (-37) = -30", "Divide: -30 / 334 = -15/167"], "final_answer": "-15/167", "answer_type": "rational", "kind": "expression", "math_text": "(7 + (-37)) / 334", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -37, \"c\": 334}", "seed": "6995545102115447936", "semantic_fingerprint": "sha256:f549ee61f2de35d6108d77a84d6b700695c8ba6f3a254829475889638064e668", "generator_version": "3.0"}
{"id": "v3_test_id_00003369", "prompt": "Solve the equation -4(x + 6) - 4 = 6x - 28 for x.", "solution_steps": ["Expand: -4x - 24 - 4 = 6x - 28", "Combine constants: -4x - 28 = 6x - 28", "Subtract 6x from both sides: -10x - 28 = -28", "Add 28 to both sides: -10x = 0", "Divide both sides by -10: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 6) - 4 = 6x - 28", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 6, \"c\": 4, \"d\": 6, \"f\": -28, \"x\": 0}", "seed": "9767365793272465505", "semantic_fingerprint": "sha256:88ce195a5bcdfbba2b9c71535b8e9c1216d0123b11e00ec56ebb5d058ff516aa", "generator_version": "3.0"}
{"id": "v3_test_id_00003370", "prompt": "What value of x satisfies 7(x + 25) - 138 = 8(x + 4)?", "solution_steps": ["Expand: 7x + 175 - 138 = 8(x + 4)", "Expand: 7x + 175 - 138 = 8x + 32", "Combine constants: 7x + 37 = 8x + 32", "Subtract 8x from both sides: -x + 37 = 32", "Subtract 37 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 + 25) - 138 = 8(x + 4)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 25, \"c\": 8, \"d\": 4, \"f\": -138, \"x\": 5}", "seed": "13487386740388859004", "semantic_fingerprint": "sha256:75b6101095c2ee9d02bc69678b54ee13ebcd70637d6c26cfc00667b440574798", "generator_version": "3.0"}
{"id": "v3_test_id_00003371", "prompt": "What value of x satisfies 11x - 33 = -10x + 114?", "solution_steps": ["Add 10x to both sides: 21x - 33 = 114", "Add 33 to both sides: 21x = 147", "Divide both sides by 21: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 33 = -10x + 114", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 33, \"c\": -10, \"e\": 114, \"x\": 7}", "seed": "6836319363901187551", "semantic_fingerprint": "sha256:7823316821e0f32afca396d67347454fd674508e74e112e94f41db314e23fb72", "generator_version": "3.0"}
{"id": "v3_test_id_00003372", "prompt": "What value of x satisfies -10(x + 39) = 4(x + 88) - 616?", "solution_steps": ["Expand: -10x - 390 = 4(x + 88) - 616", "Expand: -10x - 390 = 4x + 352 - 616", "Combine constants: -10x - 390 = 4x - 264", "Subtract 4x from both sides: -14x - 390 = -264", "Add 390 to both sides: -14x = 126", "Divide both sides by -14: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 39) = 4(x + 88) - 616", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 39, \"c\": 4, \"d\": 88, \"f\": -616, \"x\": -9}", "seed": "14052672874533727304", "semantic_fingerprint": "sha256:aaf0f3fc701ea353133281ed29ea472df8fee03b2c7c4a03df7969edd36d7736", "generator_version": "3.0"}
{"id": "v3_test_id_00003373", "prompt": "Evaluate: 46 * 0", "solution_steps": ["Multiply: 46 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "46 * 0", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": 0}", "seed": "14479029165536306348", "semantic_fingerprint": "sha256:14cbc2500887541e2292b94819b18bbe6b15c4635af468a98defac9b8a7d36a1", "generator_version": "3.0"}
{"id": "v3_test_id_00003374", "prompt": "Calculate: 212 + 63", "solution_steps": ["Add: 212 + 63 = 275"], "final_answer": "275", "answer_type": "integer", "kind": "expression", "math_text": "212 + 63", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 212, \"b\": 63}", "seed": "5443830122767930093", "semantic_fingerprint": "sha256:4d2e089e08573343d09e5518ec22ce20765e13841cfbc6ea75d2314ea20d8743", "generator_version": "3.0"}
{"id": "v3_test_id_00003375", "prompt": "Solve the equation x - 51 = -12(x - 9) - 9 for x.", "solution_steps": ["Expand: x - 51 = -12x + 108 - 9", "Combine constants: x - 51 = -12x + 99", "Add 12x to both sides: 13x - 51 = 99", "Add 51 to both sides: 13x = 150", "Divide both sides by 13: x = 150/13"], "final_answer": "150/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 51 = -12(x - 9) - 9", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": -12, \"c\": 9, \"d\": 9}", "seed": "18076395112437662938", "semantic_fingerprint": "sha256:06385f0d967bda15f38d28d9ca58206b32f9646df59f3f1ced53336e57088b3c", "generator_version": "3.0"}
{"id": "v3_test_id_00003376", "prompt": "What is 32 + (-9 - 47) - (-4)?", "solution_steps": ["Subtract: -9 - 47 = -56", "Add: 32 + (-56) = -24", "Subtract: -24 - (-4) = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "expression", "math_text": "32 + (-9 - 47) - (-4)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": -9, \"c\": 47, \"d\": -4}", "seed": "4189811499936294040", "semantic_fingerprint": "sha256:2ed4be6201ccc00bef4adf809c6f702b7a542bf0679d0e640ca96abf45d3fb47", "generator_version": "3.0"}
{"id": "v3_test_id_00003377", "prompt": "Solve the equation x - 265 = -7(x - 84) for x.", "solution_steps": ["Expand: x - 265 = -7x + 588", "Add 7x to both sides: 8x - 265 = 588", "Add 265 to both sides: 8x = 853", "Divide both sides by 8: x = 853/8"], "final_answer": "853/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 265 = -7(x - 84)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 265, \"b\": -7, \"c\": 84}", "seed": "1366050957963289902", "semantic_fingerprint": "sha256:b52980797f922cc419dbf587fea1d241c48d106d9c1926775efdd9a2f4d8485c", "generator_version": "3.0"}
{"id": "v3_test_id_00003378", "prompt": "Calculate: -6 / (-507 * 6)", "solution_steps": ["Multiply: -507 * 6 = -3042", "Divide: -6 / (-3042) = 1/507"], "final_answer": "1/507", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-507 * 6)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -507, \"c\": 6}", "seed": "3670291902134575054", "semantic_fingerprint": "sha256:78471afe963e5538508153054902fdd9d8a245a89c91a776d158b683af22a87d", "generator_version": "3.0"}
{"id": "v3_test_id_00003379", "prompt": "What value of x satisfies x = 6x - 5?", "solution_steps": ["Subtract 6x from both sides: -5x = -5", "Divide both sides by -5: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 6x - 5", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"c\": -5, \"x\": 1}", "seed": "17798243897757339720", "semantic_fingerprint": "sha256:57f28916deb9b9cc4b4786b5b6c891ed7705bdde9ae874c4ea4ef520398ab92b", "generator_version": "3.0"}
{"id": "v3_test_id_00003380", "prompt": "What is 0 + 32 - 19?", "solution_steps": ["Add: 0 + 32 = 32", "Subtract: 32 - 19 = 13"], "final_answer": "13", "answer_type": "integer", "kind": "expression", "math_text": "0 + 32 - 19", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 32, \"c\": 19}", "seed": "5303601395744573330", "semantic_fingerprint": "sha256:28ef2253378c5f9c875f720b55963a400b8b075307956db30615ca764aa510c1", "generator_version": "3.0"}
{"id": "v3_test_id_00003381", "prompt": "What value of x satisfies -2x + 382 = -4(x + 3)?", "solution_steps": ["Expand: -2x + 382 = -4x - 12", "Add 4x to both sides: 2x + 382 = -12", "Subtract 382 from both sides: 2x = -394", "Divide both sides by 2: x = -197"], "final_answer": "-197", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x + 382 = -4(x + 3)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 382, \"c\": -4, \"d\": 3}", "seed": "3786539882000393256", "semantic_fingerprint": "sha256:80298143faffc39ee25a9e293f4fadc9136275e2827ea5575d4076e1fc63d2ad", "generator_version": "3.0"}
{"id": "v3_test_id_00003382", "prompt": "What value of x satisfies x = 12(x - 34) + 62?", "solution_steps": ["Expand: x = 12x - 408 + 62", "Combine constants: x = 12x - 346", "Subtract 12x from both sides: -11x = -346", "Divide both sides by -11: x = 346/11"], "final_answer": "346/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 12(x - 34) + 62", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 34, \"c\": 62}", "seed": "18223928512256485272", "semantic_fingerprint": "sha256:efbc194b94a403bfb6acd54423d32adeb75b668480d27e6170d2e4a5bc2278e4", "generator_version": "3.0"}
{"id": "v3_test_id_00003383", "prompt": "Evaluate: -96 / 48 * (-1) * (-40)", "solution_steps": ["Divide: -96 / 48 = -2", "Multiply: -2 * (-1) = 2", "Multiply: 2 * (-40) = -80"], "final_answer": "-80", "answer_type": "integer", "kind": "expression", "math_text": "-96 / 48 * (-1) * (-40)", "variable": null, "family": "expression_3op", "shape": "(* (* (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": 48, \"c\": -1, \"d\": -40}", "seed": "14458847043762612751", "semantic_fingerprint": "sha256:91565b08c54cf361eacce6401e406b95bcd8cb4bc75fbeec8dc239f2bf28e981", "generator_version": "3.0"}
{"id": "v3_test_id_00003384", "prompt": "What is -3 + (-361) / (-7) - 318?", "solution_steps": ["Divide: -361 / (-7) = 361/7", "Add: -3 + 361/7 = 340/7", "Subtract: 340/7 - 318 = -1886/7"], "final_answer": "-1886/7", "answer_type": "rational", "kind": "expression", "math_text": "-3 + (-361) / (-7) - 318", "variable": null, "family": "expression_3op", "shape": "(- (+ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -361, \"c\": -7, \"d\": 318}", "seed": "9018464360293291378", "semantic_fingerprint": "sha256:16dea5c30424bc8ecba5af762719a4a978695f8a922d85f932f859a9de345e75", "generator_version": "3.0"}
{"id": "v3_test_id_00003385", "prompt": "Calculate: 4 / 75", "solution_steps": ["Divide: 4 / 75 = 4/75"], "final_answer": "4/75", "answer_type": "rational", "kind": "expression", "math_text": "4 / 75", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 75}", "seed": "10798808062429240826", "semantic_fingerprint": "sha256:c15f8a5e0c3a1dcb389d1567b16cc4cfa00e761c9d91b7c492338892442633ae", "generator_version": "3.0"}
{"id": "v3_test_id_00003386", "prompt": "What value of x satisfies 7x + 68 = 11(x + 3) - 4?", "solution_steps": ["Expand: 7x + 68 = 11x + 33 - 4", "Combine constants: 7x + 68 = 11x + 29", "Subtract 11x from both sides: -4x + 68 = 29", "Subtract 68 from both sides: -4x = -39", "Divide both sides by -4: x = 39/4"], "final_answer": "39/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x + 68 = 11(x + 3) - 4", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 68, \"c\": 11, \"d\": 3, \"e\": 4}", "seed": "2278374962011733731", "semantic_fingerprint": "sha256:93b66ee49d871cc9c680a552ad2bdf4e13639b9fc67f29b5dfd7da59c8f84463", "generator_version": "3.0"}
{"id": "v3_test_id_00003387", "prompt": "Evaluate: 3 / 25", "solution_steps": ["Divide: 3 / 25 = 3/25"], "final_answer": "3/25", "answer_type": "rational", "kind": "expression", "math_text": "3 / 25", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 25}", "seed": "6281650753497650200", "semantic_fingerprint": "sha256:4bef8a6f68cb88c323e46e96fcfdfc593d03e201b58afa09b6cb4c03508a3d57", "generator_version": "3.0"}
{"id": "v3_test_id_00003388", "prompt": "Compute: (-902 + (-6) / 8) * 616", "solution_steps": ["Divide: -6 / 8 = -3/4", "Add: -902 + (-3/4) = -3611/4", "Multiply: (-3611/4) * 616 = -556094"], "final_answer": "-556094", "answer_type": "integer", "kind": "expression", "math_text": "(-902 + (-6) / 8) * 616", "variable": null, "family": "expression_3op", "shape": "(* (+ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -902, \"b\": -6, \"c\": 8, \"d\": 616}", "seed": "6592437153469226520", "semantic_fingerprint": "sha256:0137b5386729fdc8b900f50bfb0aa5711edd031a10184f9ffcaeab8a81b3fe7f", "generator_version": "3.0"}
{"id": "v3_test_id_00003389", "prompt": "Evaluate: 55 * (-650)", "solution_steps": ["Multiply: 55 * (-650) = -35750"], "final_answer": "-35750", "answer_type": "integer", "kind": "expression", "math_text": "55 * (-650)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": -650}", "seed": "15662355746520416685", "semantic_fingerprint": "sha256:185dcaf110d7c1af3ee25be7511c55c5a76084435ded9cb711bf722e3daaeab4", "generator_version": "3.0"}
{"id": "v3_test_id_00003390", "prompt": "Evaluate: -86 - (-15 + (-8))", "solution_steps": ["Add: -15 + (-8) = -23", "Subtract: -86 - (-23) = -63"], "final_answer": "-63", "answer_type": "integer", "kind": "expression", "math_text": "-86 - (-15 + (-8))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": -15, \"c\": -8}", "seed": "7610980133436644427", "semantic_fingerprint": "sha256:719637f7f191e2946a00d0b838917e8ce44fabdae347f454e8747a2229c650e3", "generator_version": "3.0"}
{"id": "v3_test_id_00003391", "prompt": "Find x: -9(x + 8) - 78 = 6(x - 10)", "solution_steps": ["Expand: -9x - 72 - 78 = 6(x - 10)", "Expand: -9x - 72 - 78 = 6x - 60", "Combine constants: -9x - 150 = 6x - 60", "Subtract 6x from both sides: -15x - 150 = -60", "Add 150 to both sides: -15x = 90", "Divide both sides by -15: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 8) - 78 = 6(x - 10)", "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\": 6, \"d\": 10, \"f\": -78, \"x\": -6}", "seed": "125186963415094648", "semantic_fingerprint": "sha256:7330cf4dcb47a3014eb72f7e3b5b3b757634154065710b360914726b4a53557d", "generator_version": "3.0"}
{"id": "v3_test_id_00003392", "prompt": "What value of x satisfies 7(x - 478) = 5(x - 1)?", "solution_steps": ["Expand: 7x - 3346 = 5(x - 1)", "Expand: 7x - 3346 = 5x - 5", "Subtract 5x from both sides: 2x - 3346 = -5", "Add 3346 to both sides: 2x = 3341", "Divide both sides by 2: x = 3341/2"], "final_answer": "3341/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 478) = 5(x - 1)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 478, \"c\": 5, \"d\": 1}", "seed": "17151990282891344793", "semantic_fingerprint": "sha256:a3e6999ab3b72c92a7ab3c3abb8e7f7e86912b64adf16327744c2b6db8406acf", "generator_version": "3.0"}
{"id": "v3_test_id_00003393", "prompt": "Calculate: 504 * (-560)", "solution_steps": ["Multiply: 504 * (-560) = -282240"], "final_answer": "-282240", "answer_type": "integer", "kind": "expression", "math_text": "504 * (-560)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 504, \"b\": -560}", "seed": "1518667160920310092", "semantic_fingerprint": "sha256:eee4b425385b88d23dcf8230af7d7a7622481994021823a3ab537f31b67a2e53", "generator_version": "3.0"}
{"id": "v3_test_id_00003394", "prompt": "Solve the equation -8(x + 9) + 70 = -6x for x.", "solution_steps": ["Expand: -8x - 72 + 70 = -6x", "Combine constants: -8x - 2 = -6x", "Add 6x to both sides: -2x - 2 = 0", "Add 2 to both sides: -2x = 2", "Divide both sides by -2: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 9) + 70 = -6x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 9, \"c\": -6, \"e\": 70, \"x\": -1}", "seed": "857423445745188991", "semantic_fingerprint": "sha256:c1e7918c53750973e50d660eee4b2a6ae57a138d789dff158e91f89cb2fce075", "generator_version": "3.0"}
{"id": "v3_test_id_00003395", "prompt": "Compute: -224 - 7", "solution_steps": ["Subtract: -224 - 7 = -231"], "final_answer": "-231", "answer_type": "integer", "kind": "expression", "math_text": "-224 - 7", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -224, \"b\": 7}", "seed": "10426164639636763954", "semantic_fingerprint": "sha256:1260687f98f2eccf9e16ee0f346c12ee487fde20eb163d71163b5d4af073d425", "generator_version": "3.0"}
{"id": "v3_test_id_00003396", "prompt": "What value of x satisfies 10(x - 10) = -130?", "solution_steps": ["Expand: 10x - 100 = -130", "Add 100 to both sides: 10x = -30", "Divide both sides by 10: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 10) = -130", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 10, \"d\": -130, \"x\": -3}", "seed": "7344214245184302005", "semantic_fingerprint": "sha256:016203b7e5ba5fe45cf069d943aab811ad1f4a7455e19af06d567819d76bd73e", "generator_version": "3.0"}
{"id": "v3_test_id_00003397", "prompt": "Solve the equation -11(x + 40) - 635 = x for x.", "solution_steps": ["Expand: -11x - 440 - 635 = x", "Combine constants: -11x - 1075 = x", "Subtract x from both sides: -12x - 1075 = 0", "Add 1075 to both sides: -12x = 1075", "Divide both sides by -12: x = -1075/12"], "final_answer": "-1075/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x + 40) - 635 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 40, \"c\": 635}", "seed": "4211647074117968508", "semantic_fingerprint": "sha256:304dc7611049d442d122f731edaa1d2877fffdc11cc00c969f9aa34da3d2721d", "generator_version": "3.0"}
{"id": "v3_test_id_00003398", "prompt": "Find x: -11(x + 72) = -3(x - 29) - 991", "solution_steps": ["Expand: -11x - 792 = -3(x - 29) - 991", "Expand: -11x - 792 = -3x + 87 - 991", "Combine constants: -11x - 792 = -3x - 904", "Add 3x to both sides: -8x - 792 = -904", "Add 792 to both sides: -8x = -112", "Divide both sides by -8: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 72) = -3(x - 29) - 991", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 72, \"c\": -3, \"d\": 29, \"f\": -991, \"x\": 14}", "seed": "10419147240620374084", "semantic_fingerprint": "sha256:10fd22ea75c3f208e3ef6bbaa418c47ab8087cfb64e9d0f7ebabe750af3d4a54", "generator_version": "3.0"}
{"id": "v3_test_id_00003399", "prompt": "What is 9 * (-533) / (-591) - (-544) / (28 / 16)?", "solution_steps": ["Multiply: 9 * (-533) = -4797", "Divide: -4797 / (-591) = 1599/197", "Divide: 28 / 16 = 7/4", "Divide: -544 / (7/4) = -2176/7", "Subtract: 1599/197 - (-2176/7) = 439865/1379"], "final_answer": "439865/1379", "answer_type": "rational", "kind": "expression", "math_text": "9 * (-533) / (-591) - (-544) / (28 / 16)", "variable": null, "family": "expression_5op", "shape": "(- (/ (* n n) n) (/ n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -533, \"c\": -591, \"d\": -544, \"e\": 28, \"f\": 16}", "seed": "13849444568035116355", "semantic_fingerprint": "sha256:dd507a743ed62f1c7e2a248c7fc9e53d7d0c4bf26e412dc39de5650fb245818c", "generator_version": "3.0"}
{"id": "v3_test_id_00003400", "prompt": "What is (542 * (-177) + 5) / 970?", "solution_steps": ["Multiply: 542 * (-177) = -95934", "Add: -95934 + 5 = -95929", "Divide: -95929 / 970 = -95929/970"], "final_answer": "-95929/970", "answer_type": "rational", "kind": "expression", "math_text": "(542 * (-177) + 5) / 970", "variable": null, "family": "expression_3op", "shape": "(/ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 542, \"b\": -177, \"c\": 5, \"d\": 970}", "seed": "5317619154647666392", "semantic_fingerprint": "sha256:9b104e62652c4b4b1f4667670ffd1833f3a035333a04f0fac94ab0bc3e65a336", "generator_version": "3.0"}
{"id": "v3_test_id_00003401", "prompt": "Evaluate: 6 / 518", "solution_steps": ["Divide: 6 / 518 = 3/259"], "final_answer": "3/259", "answer_type": "rational", "kind": "expression", "math_text": "6 / 518", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 518}", "seed": "382172444905614175", "semantic_fingerprint": "sha256:4fd375a62b81c7e53eff9eec251e8a851377027a329870f55abdd93fc93092c5", "generator_version": "3.0"}
{"id": "v3_test_id_00003402", "prompt": "Find x: 11(x + 50) + 2 = 12(x + 49) + 681", "solution_steps": ["Expand: 11x + 550 + 2 = 12(x + 49) + 681", "Expand: 11x + 550 + 2 = 12x + 588 + 681", "Combine constants: 11x + 552 = 12x + 588 + 681", "Combine constants: 11x + 552 = 12x + 1269", "Subtract 12x from both sides: -x + 552 = 1269", "Subtract 552 from both sides: -x = 717", "Divide both sides by -1: x = -717"], "final_answer": "-717", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 50) + 2 = 12(x + 49) + 681", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 50, \"c\": 2, \"d\": 12, \"e\": 49, \"f\": 681}", "seed": "11315990676682092686", "semantic_fingerprint": "sha256:34c38772046d8c5a917b524cf9064faf64febb0f4e7bee699fc446845b4702aa", "generator_version": "3.0"}
{"id": "v3_test_id_00003403", "prompt": "Compute: 37 / (-50 / 477) + (-8 - (-259) - 874)", "solution_steps": ["Divide: -50 / 477 = -50/477", "Divide: 37 / (-50/477) = -17649/50", "Subtract: -8 - (-259) = 251", "Subtract: 251 - 874 = -623", "Add: -17649/50 + (-623) = -48799/50"], "final_answer": "-48799/50", "answer_type": "rational", "kind": "expression", "math_text": "37 / (-50 / 477) + (-8 - (-259) - 874)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (/ n n)) (- (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": -50, \"c\": 477, \"d\": -8, \"e\": -259, \"f\": 874}", "seed": "11833805894701598026", "semantic_fingerprint": "sha256:0461dad1c28e6ffea92c018f36364ac252b4a34f1f21693c7eff743389ef5359", "generator_version": "3.0"}
{"id": "v3_test_id_00003404", "prompt": "Compute: 2 / (432 / 659)", "solution_steps": ["Divide: 432 / 659 = 432/659", "Divide: 2 / (432/659) = 659/216"], "final_answer": "659/216", "answer_type": "rational", "kind": "expression", "math_text": "2 / (432 / 659)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 432, \"c\": 659}", "seed": "11967676782005322262", "semantic_fingerprint": "sha256:72dbe72c3e0ea85fdbe4c62d63853e5a7b694bd3faa3661d0a53db70231cb815", "generator_version": "3.0"}
{"id": "v3_test_id_00003405", "prompt": "What value of x satisfies x - 700 = -12(x + 67)?", "solution_steps": ["Expand: x - 700 = -12x - 804", "Add 12x to both sides: 13x - 700 = -804", "Add 700 to both sides: 13x = -104", "Divide both sides by 13: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 700 = -12(x + 67)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 67, \"d\": -700, \"x\": -8}", "seed": "315603984715697248", "semantic_fingerprint": "sha256:35716e1b946d7aaa92b94c4d742ea8ab5407380e23f0b36dd9a2dbfea1abc4a5", "generator_version": "3.0"}
{"id": "v3_test_id_00003406", "prompt": "Compute: -91 / (-17)", "solution_steps": ["Divide: -91 / (-17) = 91/17"], "final_answer": "91/17", "answer_type": "rational", "kind": "expression", "math_text": "-91 / (-17)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": -17}", "seed": "1616684800257300075", "semantic_fingerprint": "sha256:31d11641b3abdebd59d50c5b861f8fb45f3c7f58d50c62d82d98f8132b4ff82f", "generator_version": "3.0"}
{"id": "v3_test_id_00003407", "prompt": "What is (344 + 0) * 39?", "solution_steps": ["Add: 344 + 0 = 344", "Multiply: 344 * 39 = 13416"], "final_answer": "13416", "answer_type": "integer", "kind": "expression", "math_text": "(344 + 0) * 39", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 344, \"b\": 0, \"c\": 39}", "seed": "4943309746742489264", "semantic_fingerprint": "sha256:feaa6e948bd4865876108baf618d7558d553582f23cb5a52915c94bb559801d8", "generator_version": "3.0"}
{"id": "v3_test_id_00003408", "prompt": "What value of x satisfies -4(x - 17) = 8(x + 91) - 792?", "solution_steps": ["Expand: -4x + 68 = 8(x + 91) - 792", "Expand: -4x + 68 = 8x + 728 - 792", "Combine constants: -4x + 68 = 8x - 64", "Subtract 8x from both sides: -12x + 68 = -64", "Subtract 68 from both sides: -12x = -132", "Divide both sides by -12: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 17) = 8(x + 91) - 792", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 17, \"c\": 8, \"d\": 91, \"f\": -792, \"x\": 11}", "seed": "11183513768041296948", "semantic_fingerprint": "sha256:ee60276111c1ea34ce2075073b458ba30e951c110b7260d68643b3c318550ca0", "generator_version": "3.0"}
{"id": "v3_test_id_00003409", "prompt": "Calculate: -1 * (92 * 863) + (-8) * (-18)", "solution_steps": ["Multiply: 92 * 863 = 79396", "Multiply: -1 * 79396 = -79396", "Multiply: -8 * (-18) = 144", "Add: -79396 + 144 = -79252"], "final_answer": "-79252", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (92 * 863) + (-8) * (-18)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 92, \"c\": 863, \"d\": -8, \"e\": -18}", "seed": "15408561404772246355", "semantic_fingerprint": "sha256:e5d4dd79271185f00e57e9106f760e632cc4b25649fb0f7d0f05c978521323ca", "generator_version": "3.0"}
{"id": "v3_test_id_00003410", "prompt": "Calculate: -65 + (-78)", "solution_steps": ["Add: -65 + (-78) = -143"], "final_answer": "-143", "answer_type": "integer", "kind": "expression", "math_text": "-65 + (-78)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -78}", "seed": "3322582057027744689", "semantic_fingerprint": "sha256:fccef3ec08e5682cec4c703e12cee215e7036d8eaa8a7d44896cb4189a070ea2", "generator_version": "3.0"}
{"id": "v3_test_id_00003411", "prompt": "Solve for x: x = 9(x + 40)", "solution_steps": ["Expand: x = 9x + 360", "Subtract 9x from both sides: -8x = 360", "Divide both sides by -8: x = -45"], "final_answer": "-45", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 9(x + 40)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 40}", "seed": "13110865465563774796", "semantic_fingerprint": "sha256:64d4adad8c5bc2386e0bd32615ce2969a53f2802b0d8feab4b02674cf61a0d5c", "generator_version": "3.0"}
{"id": "v3_test_id_00003412", "prompt": "Find x: -2x - 9 = 2(x - 65) - 624", "solution_steps": ["Expand: -2x - 9 = 2x - 130 - 624", "Combine constants: -2x - 9 = 2x - 754", "Subtract 2x from both sides: -4x - 9 = -754", "Add 9 to both sides: -4x = -745", "Divide both sides by -4: x = 745/4"], "final_answer": "745/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2x - 9 = 2(x - 65) - 624", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 9, \"c\": 2, \"d\": 65, \"e\": 624}", "seed": "2046755286437858620", "semantic_fingerprint": "sha256:83c73b85f464e55fe4140ec0f2710d2baef311b63454f29100ba8350fc26536d", "generator_version": "3.0"}
{"id": "v3_test_id_00003413", "prompt": "What value of x satisfies 2x - 936 = x - 542?", "solution_steps": ["Subtract x from both sides: x - 936 = -542", "Add 936 to both sides: x = 394"], "final_answer": "394", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 936 = x - 542", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 936, \"c\": 542}", "seed": "7438955626059674937", "semantic_fingerprint": "sha256:5b1d1cb6b9ed428f3b6c997bd90a554394e9f994b94842a479a3bd45449a7d02", "generator_version": "3.0"}
{"id": "v3_test_id_00003414", "prompt": "Solve for x: 8x = 6(x - 122) + 750", "solution_steps": ["Expand: 8x = 6x - 732 + 750", "Combine constants: 8x = 6x + 18", "Subtract 6x from both sides: 2x = 18", "Divide both sides by 2: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 6(x - 122) + 750", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 6, \"c\": 122, \"d\": 750}", "seed": "13886690593848218297", "semantic_fingerprint": "sha256:d4217e2dbb045b3c550f86573975c5f0baa5c9ab579c649c2ef87c6bf96b3c0f", "generator_version": "3.0"}
{"id": "v3_test_id_00003415", "prompt": "Solve for x: x - 156 = 10(x - 3)", "solution_steps": ["Expand: x - 156 = 10x - 30", "Subtract 10x from both sides: -9x - 156 = -30", "Add 156 to both sides: -9x = 126", "Divide both sides by -9: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 156 = 10(x - 3)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 3, \"d\": -156, \"x\": -14}", "seed": "15349691696182787598", "semantic_fingerprint": "sha256:5268521f27c81559cfe21621c383a7f1371da2abb47d327c54208e9f5f9cad43", "generator_version": "3.0"}
{"id": "v3_test_id_00003416", "prompt": "What is 2 * (6 / (-7)) / (-81)?", "solution_steps": ["Divide: 6 / (-7) = -6/7", "Multiply: 2 * (-6/7) = -12/7", "Divide: (-12/7) / (-81) = 4/189"], "final_answer": "4/189", "answer_type": "rational", "kind": "expression", "math_text": "2 * (6 / (-7)) / (-81)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": -7, \"d\": -81}", "seed": "4543585200082656083", "semantic_fingerprint": "sha256:35c786dc0e41ff42f08e8d01a52bb30d151db72ad8a7f84af50cfb763b5bf4eb", "generator_version": "3.0"}
{"id": "v3_test_id_00003417", "prompt": "Evaluate: 43 * 0 * (8 - (-34) - 213) - 494", "solution_steps": ["Multiply: 43 * 0 = 0", "Subtract: 8 - (-34) = 42", "Subtract: 42 - 213 = -171", "Multiply: 0 * (-171) = 0", "Subtract: 0 - 494 = -494"], "final_answer": "-494", "answer_type": "integer", "kind": "expression", "math_text": "43 * 0 * (8 - (-34) - 213) - 494", "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\": -34, \"e\": 213, \"f\": 494}", "seed": "16759607729302624489", "semantic_fingerprint": "sha256:033d506d06e66c9fab4ce302310ad3260202f4f0f9868aaf1f455d20e3bb3dbd", "generator_version": "3.0"}
{"id": "v3_test_id_00003418", "prompt": "What is 74 / 51 + (-97) * 8?", "solution_steps": ["Divide: 74 / 51 = 74/51", "Multiply: -97 * 8 = -776", "Add: 74/51 + (-776) = -39502/51"], "final_answer": "-39502/51", "answer_type": "rational", "kind": "expression", "math_text": "74 / 51 + (-97) * 8", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": 51, \"c\": -97, \"d\": 8}", "seed": "13057209034097079476", "semantic_fingerprint": "sha256:3c22dbce9a7b0d919cdb4899771f4aa018e5cabd131de42193452a8fecafb0c6", "generator_version": "3.0"}
{"id": "v3_test_id_00003419", "prompt": "Evaluate: 44 / (-5) * (-2) + (-8) * 16", "solution_steps": ["Divide: 44 / (-5) = -44/5", "Multiply: (-44/5) * (-2) = 88/5", "Multiply: -8 * 16 = -128", "Add: 88/5 + (-128) = -552/5"], "final_answer": "-552/5", "answer_type": "rational", "kind": "expression", "math_text": "44 / (-5) * (-2) + (-8) * 16", "variable": null, "family": "expression_4op", "shape": "(+ (* (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": -5, \"c\": -2, \"d\": -8, \"e\": 16}", "seed": "6019808772023483064", "semantic_fingerprint": "sha256:ea4e3cb2ddfa3fc4f8288634350a7643824e20f106afaaa545ea21bc95f59cdb", "generator_version": "3.0"}
{"id": "v3_test_id_00003420", "prompt": "What is 8 - (-483) + (78 - 49)?", "solution_steps": ["Subtract: 8 - (-483) = 491", "Subtract: 78 - 49 = 29", "Add: 491 + 29 = 520"], "final_answer": "520", "answer_type": "integer", "kind": "expression", "math_text": "8 - (-483) + (78 - 49)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -483, \"c\": 78, \"d\": 49}", "seed": "4219894140381717332", "semantic_fingerprint": "sha256:f2e5cc29558eff36319130c9d724b9d67dd5bc3051b6a7445ec30e349c0b822e", "generator_version": "3.0"}
{"id": "v3_test_id_00003421", "prompt": "Evaluate: 679 * 2 - 3", "solution_steps": ["Multiply: 679 * 2 = 1358", "Subtract: 1358 - 3 = 1355"], "final_answer": "1355", "answer_type": "integer", "kind": "expression", "math_text": "679 * 2 - 3", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 679, \"b\": 2, \"c\": 3}", "seed": "8938127262074792885", "semantic_fingerprint": "sha256:250ad030963efaf7f12123344a803a6e6bd56c13580e9d399b8e6926b1790434", "generator_version": "3.0"}
{"id": "v3_test_id_00003422", "prompt": "Find x: x + 9 = 13", "solution_steps": ["Subtract 9 from both sides: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 9 = 13", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"c\": 13, \"x\": 4}", "seed": "2192318192708984881", "semantic_fingerprint": "sha256:f71254efa07a56bb2345b49cfe10ff400d39fb56705e6d45ca605883c1a589be", "generator_version": "3.0"}
{"id": "v3_test_id_00003423", "prompt": "Compute: -12 + 3", "solution_steps": ["Add: -12 + 3 = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "expression", "math_text": "-12 + 3", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 3}", "seed": "1974408975031913470", "semantic_fingerprint": "sha256:f8ae7d6dcc6d048defbd2e4d4cc3a8dca5ad649b4c6a6322124e209d2e5872ce", "generator_version": "3.0"}
{"id": "v3_test_id_00003424", "prompt": "What is (-88 / (-43) + (-22 - (-6))) / 46?", "solution_steps": ["Divide: -88 / (-43) = 88/43", "Subtract: -22 - (-6) = -16", "Add: 88/43 + (-16) = -600/43", "Divide: (-600/43) / 46 = -300/989"], "final_answer": "-300/989", "answer_type": "rational", "kind": "expression", "math_text": "(-88 / (-43) + (-22 - (-6))) / 46", "variable": null, "family": "expression_4op", "shape": "(/ (+ (/ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": -43, \"c\": -22, \"d\": -6, \"e\": 46}", "seed": "6316041258881522035", "semantic_fingerprint": "sha256:c819e1b88d9a7dffac06f17d48958a2b247d8e2f95d2515d5061b4b5ea0c171a", "generator_version": "3.0"}
{"id": "v3_test_id_00003425", "prompt": "What is 692 + (-39) - 947 - (-857) / 5?", "solution_steps": ["Add: 692 + (-39) = 653", "Subtract: 653 - 947 = -294", "Divide: -857 / 5 = -857/5", "Subtract: -294 - (-857/5) = -613/5"], "final_answer": "-613/5", "answer_type": "rational", "kind": "expression", "math_text": "692 + (-39) - 947 - (-857) / 5", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 692, \"b\": -39, \"c\": 947, \"d\": -857, \"e\": 5}", "seed": "4851389071933000284", "semantic_fingerprint": "sha256:e9f074c9a90ce735190c2cd10901db70178798dfd49bdeefa1628208a44ba8cc", "generator_version": "3.0"}
{"id": "v3_test_id_00003426", "prompt": "What value of x satisfies x = 2(x + 10)?", "solution_steps": ["Expand: x = 2x + 20", "Subtract 2x from both sides: -x = 20", "Divide both sides by -1: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 2(x + 10)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 10}", "seed": "592787015045239016", "semantic_fingerprint": "sha256:4f9933fae2a06f6aae316f886352559495d86fff0fbf2f186a1396557abb6822", "generator_version": "3.0"}
{"id": "v3_test_id_00003427", "prompt": "Compute: -48 / (-26 / (-87))", "solution_steps": ["Divide: -26 / (-87) = 26/87", "Divide: -48 / (26/87) = -2088/13"], "final_answer": "-2088/13", "answer_type": "rational", "kind": "expression", "math_text": "-48 / (-26 / (-87))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": -26, \"c\": -87}", "seed": "5730653377084512053", "semantic_fingerprint": "sha256:355b94b26d2043d335934ab38c088b6b3dd2b65ee759b5096c285946c71b6dc7", "generator_version": "3.0"}
{"id": "v3_test_id_00003428", "prompt": "Solve the equation -12x - 599 = 11x + 57 for x.", "solution_steps": ["Subtract 11x from both sides: -23x - 599 = 57", "Add 599 to both sides: -23x = 656", "Divide both sides by -23: x = -656/23"], "final_answer": "-656/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x - 599 = 11x + 57", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 599, \"c\": 11, \"d\": 57}", "seed": "4658611772739294173", "semantic_fingerprint": "sha256:11a3733ac7bb094349af24756cefd328a41a3ebe1328df82d35fe824ba3f40b5", "generator_version": "3.0"}
{"id": "v3_test_id_00003429", "prompt": "What is 48 / 8?", "solution_steps": ["Divide: 48 / 8 = 6"], "final_answer": "6", "answer_type": "integer", "kind": "expression", "math_text": "48 / 8", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": 8}", "seed": "7844645575776632156", "semantic_fingerprint": "sha256:19806912a7be021931bae573c3ad3581158680cb3db8f6e6811dd2c18594c943", "generator_version": "3.0"}
{"id": "v3_test_id_00003430", "prompt": "What value of x satisfies -9(x - 7) = 73?", "solution_steps": ["Expand: -9x + 63 = 73", "Subtract 63 from both sides: -9x = 10", "Divide both sides by -9: x = -10/9"], "final_answer": "-10/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 7) = 73", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 7, \"c\": 73}", "seed": "864267676322715199", "semantic_fingerprint": "sha256:698605df6912cf2e206b748eb206521512f7dc00e784eb0a7b28f85f1f7ace60", "generator_version": "3.0"}
{"id": "v3_test_id_00003431", "prompt": "Calculate: 0 - (-8) / 96 + (2 - (-1))", "solution_steps": ["Divide: -8 / 96 = -1/12", "Subtract: 0 - (-1/12) = 1/12", "Subtract: 2 - (-1) = 3", "Add: 1/12 + 3 = 37/12"], "final_answer": "37/12", "answer_type": "rational", "kind": "expression", "math_text": "0 - (-8) / 96 + (2 - (-1))", "variable": null, "family": "expression_4op", "shape": "(+ (- n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -8, \"c\": 96, \"d\": 2, \"e\": -1}", "seed": "8083361902203818191", "semantic_fingerprint": "sha256:642009a8cfce4c1f4644e6bf70a56197fcb12eb0d122520e4aecd41f538a7e20", "generator_version": "3.0"}
{"id": "v3_test_id_00003432", "prompt": "Solve for x: 10(x - 2) - 73 = -12(x + 15) + 505", "solution_steps": ["Expand: 10x - 20 - 73 = -12(x + 15) + 505", "Expand: 10x - 20 - 73 = -12x - 180 + 505", "Combine constants: 10x - 93 = -12x - 180 + 505", "Combine constants: 10x - 93 = -12x + 325", "Add 12x to both sides: 22x - 93 = 325", "Add 93 to both sides: 22x = 418", "Divide both sides by 22: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 2) - 73 = -12(x + 15) + 505", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": 73, \"d\": -12, \"e\": 15, \"g\": 505, \"x\": 19}", "seed": "2059142504227786364", "semantic_fingerprint": "sha256:be11ad31b2c3f2650235622b4ca08a403e1e6b004444db8562c6ba7d84e8155d", "generator_version": "3.0"}
{"id": "v3_test_id_00003433", "prompt": "Solve for x: x - 33 = 8(x + 4) + 65", "solution_steps": ["Expand: x - 33 = 8x + 32 + 65", "Combine constants: x - 33 = 8x + 97", "Subtract 8x from both sides: -7x - 33 = 97", "Add 33 to both sides: -7x = 130", "Divide both sides by -7: x = -130/7"], "final_answer": "-130/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 33 = 8(x + 4) + 65", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": 8, \"c\": 4, \"d\": 65}", "seed": "9497337721258321939", "semantic_fingerprint": "sha256:d1431f1f268313b4cb43814c89c93d1b279433dc9e4f78050ebde6c926dce9fc", "generator_version": "3.0"}
{"id": "v3_test_id_00003434", "prompt": "Compute: -91 * (-1) - 42 * (-2) + (-424)", "solution_steps": ["Multiply: -91 * (-1) = 91", "Multiply: 42 * (-2) = -84", "Subtract: 91 - (-84) = 175", "Add: 175 + (-424) = -249"], "final_answer": "-249", "answer_type": "integer", "kind": "expression", "math_text": "-91 * (-1) - 42 * (-2) + (-424)", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": -1, \"c\": 42, \"d\": -2, \"e\": -424}", "seed": "5215069593697921486", "semantic_fingerprint": "sha256:119f6edcd910efc5669c16f1f52d3f1c957927c30a2fa519acf5d009246936df", "generator_version": "3.0"}
{"id": "v3_test_id_00003435", "prompt": "Compute: 19 / (-61) - (-8)", "solution_steps": ["Divide: 19 / (-61) = -19/61", "Subtract: -19/61 - (-8) = 469/61"], "final_answer": "469/61", "answer_type": "rational", "kind": "expression", "math_text": "19 / (-61) - (-8)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": -61, \"c\": -8}", "seed": "6991925395916420581", "semantic_fingerprint": "sha256:8cb83224a9ecd82a6e8d08a4308e8e7b74d4ef0408e8218535deadb5035c7d74", "generator_version": "3.0"}
{"id": "v3_test_id_00003436", "prompt": "What is -941 - (68 - (-7)) * 76?", "solution_steps": ["Subtract: 68 - (-7) = 75", "Multiply: 75 * 76 = 5700", "Subtract: -941 - 5700 = -6641"], "final_answer": "-6641", "answer_type": "integer", "kind": "expression", "math_text": "-941 - (68 - (-7)) * 76", "variable": null, "family": "expression_3op", "shape": "(- n (* (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -941, \"b\": 68, \"c\": -7, \"d\": 76}", "seed": "7078803316538314263", "semantic_fingerprint": "sha256:726b13263cc818ed1d6a29f2d422a1483d2363e730515bee53955a710a545b04", "generator_version": "3.0"}
{"id": "v3_test_id_00003437", "prompt": "Solve for x: -12x = 9(x - 68)", "solution_steps": ["Expand: -12x = 9x - 612", "Subtract 9x from both sides: -21x = -612", "Divide both sides by -21: x = 204/7"], "final_answer": "204/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x = 9(x - 68)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 9, \"c\": 68}", "seed": "13050239481411018048", "semantic_fingerprint": "sha256:77c5989236b46f60b62aea63449af0419ba8bc9c99a42d58886ff1a21ca6b937", "generator_version": "3.0"}
{"id": "v3_test_id_00003438", "prompt": "What is (629 - (-68)) * (91 + 48)?", "solution_steps": ["Subtract: 629 - (-68) = 697", "Add: 91 + 48 = 139", "Multiply: 697 * 139 = 96883"], "final_answer": "96883", "answer_type": "integer", "kind": "expression", "math_text": "(629 - (-68)) * (91 + 48)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 629, \"b\": -68, \"c\": 91, \"d\": 48}", "seed": "12739178817389104526", "semantic_fingerprint": "sha256:357786aed835ea76394f7dc6e8e573396760011b61f40950c83663fc98a7f0f3", "generator_version": "3.0"}
{"id": "v3_test_id_00003439", "prompt": "Calculate: -29 + (-558)", "solution_steps": ["Add: -29 + (-558) = -587"], "final_answer": "-587", "answer_type": "integer", "kind": "expression", "math_text": "-29 + (-558)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": -558}", "seed": "14908784739321419405", "semantic_fingerprint": "sha256:314586754deb5e3f9b0fe8a90199c4b6ac87e099926a0136514e946700f23182", "generator_version": "3.0"}
{"id": "v3_test_id_00003440", "prompt": "Solve for x: 10x + 284 = 2(x + 94)", "solution_steps": ["Expand: 10x + 284 = 2x + 188", "Subtract 2x from both sides: 8x + 284 = 188", "Subtract 284 from both sides: 8x = -96", "Divide both sides by 8: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x + 284 = 2(x + 94)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 2, \"c\": 94, \"e\": 284, \"x\": -12}", "seed": "6053380437395950728", "semantic_fingerprint": "sha256:de25f8a754644d69efcc0a89eae56ff5c4676f07d5220dbf910996577ed47ec1", "generator_version": "3.0"}
{"id": "v3_test_id_00003441", "prompt": "Evaluate: -237 + (-22) / 19", "solution_steps": ["Divide: -22 / 19 = -22/19", "Add: -237 + (-22/19) = -4525/19"], "final_answer": "-4525/19", "answer_type": "rational", "kind": "expression", "math_text": "-237 + (-22) / 19", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -237, \"b\": -22, \"c\": 19}", "seed": "9162520835983444398", "semantic_fingerprint": "sha256:29802cc488008544d0969ca950547950eb90005fac19a19020c7e9aac8faad72", "generator_version": "3.0"}
{"id": "v3_test_id_00003442", "prompt": "Calculate: -595 + 581", "solution_steps": ["Add: -595 + 581 = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "expression", "math_text": "-595 + 581", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -595, \"b\": 581}", "seed": "14145098428979097306", "semantic_fingerprint": "sha256:7e1516f16a55ddebbc10f1d9e6f3d20c7360845ab10e2d43475ee67a890392ca", "generator_version": "3.0"}
{"id": "v3_test_id_00003443", "prompt": "Evaluate: (-86 + 392) * (-9)", "solution_steps": ["Add: -86 + 392 = 306", "Multiply: 306 * (-9) = -2754"], "final_answer": "-2754", "answer_type": "integer", "kind": "expression", "math_text": "(-86 + 392) * (-9)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": 392, \"c\": -9}", "seed": "8343857902967102251", "semantic_fingerprint": "sha256:2403cbdcd92f67942f46fb06a4cc7a852b41e0bbfdf59e602e8ec7ccf86ab9ac", "generator_version": "3.0"}
{"id": "v3_test_id_00003444", "prompt": "Solve for x: 4(x - 5) - 6 = 2(x - 22) + 8", "solution_steps": ["Expand: 4x - 20 - 6 = 2(x - 22) + 8", "Expand: 4x - 20 - 6 = 2x - 44 + 8", "Combine constants: 4x - 26 = 2x - 44 + 8", "Combine constants: 4x - 26 = 2x - 36", "Subtract 2x from both sides: 2x - 26 = -36", "Add 26 to both sides: 2x = -10", "Divide both sides by 2: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 5) - 6 = 2(x - 22) + 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": 6, \"d\": 2, \"e\": 22, \"g\": 8, \"x\": -5}", "seed": "6943203303671168993", "semantic_fingerprint": "sha256:5cbfcafa682e0b9502bc8433fd3fa40790649f4b78d228400c568dc0626aa9fd", "generator_version": "3.0"}
{"id": "v3_test_id_00003445", "prompt": "Calculate: 1 - (-38 + (-672))", "solution_steps": ["Add: -38 + (-672) = -710", "Subtract: 1 - (-710) = 711"], "final_answer": "711", "answer_type": "integer", "kind": "expression", "math_text": "1 - (-38 + (-672))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -38, \"c\": -672}", "seed": "17160697790247297917", "semantic_fingerprint": "sha256:3fd34f4d1758bf570f41725a8b1f95f2b66e9f098e3524687dabc78c187fb236", "generator_version": "3.0"}
{"id": "v3_test_id_00003446", "prompt": "Compute: (-1 + (-24)) / (-7 * 850) / 8", "solution_steps": ["Add: -1 + (-24) = -25", "Multiply: -7 * 850 = -5950", "Divide: -25 / (-5950) = 1/238", "Divide: (1/238) / 8 = 1/1904"], "final_answer": "1/1904", "answer_type": "rational", "kind": "expression", "math_text": "(-1 + (-24)) / (-7 * 850) / 8", "variable": null, "family": "expression_4op", "shape": "(/ (/ (+ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -24, \"c\": -7, \"d\": 850, \"e\": 8}", "seed": "18006738110799796146", "semantic_fingerprint": "sha256:54f3308d04f672ba823baf218f36ec9c7b1c22f572ae9289077994cf3bfe3edd", "generator_version": "3.0"}
{"id": "v3_test_id_00003447", "prompt": "Solve for x: 8(x - 50) = 10(x - 6)", "solution_steps": ["Expand: 8x - 400 = 10(x - 6)", "Expand: 8x - 400 = 10x - 60", "Subtract 10x from both sides: -2x - 400 = -60", "Add 400 to both sides: -2x = 340", "Divide both sides by -2: x = -170"], "final_answer": "-170", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 50) = 10(x - 6)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 50, \"c\": 10, \"d\": 6}", "seed": "7485058126727483513", "semantic_fingerprint": "sha256:30502ba442a41c0b06713e281b9def1be0ad4a2d45b07b06816b5aedc2ccd2bc", "generator_version": "3.0"}
{"id": "v3_test_id_00003448", "prompt": "Evaluate: (-2 + 818) * (5 / 1)", "solution_steps": ["Add: -2 + 818 = 816", "Divide: 5 / 1 = 5", "Multiply: 816 * 5 = 4080"], "final_answer": "4080", "answer_type": "integer", "kind": "expression", "math_text": "(-2 + 818) * (5 / 1)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 818, \"c\": 5, \"d\": 1}", "seed": "17081559349989542899", "semantic_fingerprint": "sha256:00fe77bb5bbd9d3467b171a8fe3b9e69be646499a27500ce2a2abcd5f66c20bb", "generator_version": "3.0"}
{"id": "v3_test_id_00003449", "prompt": "Compute: 0 / 5 + 6", "solution_steps": ["Divide: 0 / 5 = 0", "Add: 0 + 6 = 6"], "final_answer": "6", "answer_type": "integer", "kind": "expression", "math_text": "0 / 5 + 6", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 5, \"c\": 6}", "seed": "3814259230717296865", "semantic_fingerprint": "sha256:cb4fed9047dfba092b8d8cacd9dae0f4aa838ca6781bdf80a8fc1e0f901203b5", "generator_version": "3.0"}
{"id": "v3_test_id_00003450", "prompt": "Solve the equation 6(x + 71) + 8 = 4x for x.", "solution_steps": ["Expand: 6x + 426 + 8 = 4x", "Combine constants: 6x + 434 = 4x", "Subtract 4x from both sides: 2x + 434 = 0", "Subtract 434 from both sides: 2x = -434", "Divide both sides by 2: x = -217"], "final_answer": "-217", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 71) + 8 = 4x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 71, \"c\": 8, \"d\": 4}", "seed": "3819473393265930932", "semantic_fingerprint": "sha256:d709a07b3939df7e129ee60db94611d6fbd94a8d899849df30b9f69e9eda1f5b", "generator_version": "3.0"}
{"id": "v3_test_id_00003451", "prompt": "Find x: -8(x + 64) + 750 = 6x", "solution_steps": ["Expand: -8x - 512 + 750 = 6x", "Combine constants: -8x + 238 = 6x", "Subtract 6x from both sides: -14x + 238 = 0", "Subtract 238 from both sides: -14x = -238", "Divide both sides by -14: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 64) + 750 = 6x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 64, \"c\": 6, \"e\": 750, \"x\": 17}", "seed": "612264480349030951", "semantic_fingerprint": "sha256:cac806115ddd78f12c59fa508302aba2a58ef7eda9691d83c87fffb06adf85bd", "generator_version": "3.0"}
{"id": "v3_test_id_00003452", "prompt": "Solve the equation -4x + 500 = 6(x + 60) for x.", "solution_steps": ["Expand: -4x + 500 = 6x + 360", "Subtract 6x from both sides: -10x + 500 = 360", "Subtract 500 from both sides: -10x = -140", "Divide both sides by -10: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x + 500 = 6(x + 60)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 6, \"c\": 60, \"e\": 500, \"x\": 14}", "seed": "8565896815531049763", "semantic_fingerprint": "sha256:387990a268e1437ff095cc989336463cf514d4df7e4f04fcb30b35ea87abbebb", "generator_version": "3.0"}
{"id": "v3_test_id_00003453", "prompt": "Find x: x = 9x - 112", "solution_steps": ["Subtract 9x from both sides: -8x = -112", "Divide both sides by -8: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 9x - 112", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"c\": -112, \"x\": 14}", "seed": "6229996734542743313", "semantic_fingerprint": "sha256:1de002539eb11c574bd3c19f3d02549cfdc750903ad6a11d7febac110cc792ec", "generator_version": "3.0"}
{"id": "v3_test_id_00003454", "prompt": "Calculate: 74 + (-11) / (-924)", "solution_steps": ["Divide: -11 / (-924) = 1/84", "Add: 74 + 1/84 = 6217/84"], "final_answer": "6217/84", "answer_type": "rational", "kind": "expression", "math_text": "74 + (-11) / (-924)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": -11, \"c\": -924}", "seed": "1458722094609084833", "semantic_fingerprint": "sha256:4bcee23d774dff2367649add2a4711fc26b5cf879de6fd6681ce50ff58f9002c", "generator_version": "3.0"}
{"id": "v3_test_id_00003455", "prompt": "Evaluate: 551 + 5 / (-71) * (-79) / (-12 - 0)", "solution_steps": ["Divide: 5 / (-71) = -5/71", "Multiply: (-5/71) * (-79) = 395/71", "Subtract: -12 - 0 = -12", "Divide: (395/71) / (-12) = -395/852", "Add: 551 + (-395/852) = 469057/852"], "final_answer": "469057/852", "answer_type": "rational", "kind": "expression", "math_text": "551 + 5 / (-71) * (-79) / (-12 - 0)", "variable": null, "family": "expression_5op", "shape": "(+ n (/ (* (/ n n) n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 551, \"b\": 5, \"c\": -71, \"d\": -79, \"e\": -12, \"f\": 0}", "seed": "7578765523161821438", "semantic_fingerprint": "sha256:82944ec63afd0ea1c829a5ef06ca7c23acaa73cad409af368f6f66cc2db71662", "generator_version": "3.0"}
{"id": "v3_test_id_00003456", "prompt": "What value of x satisfies 6(x + 4) + 6 = -9(x + 93)?", "solution_steps": ["Expand: 6x + 24 + 6 = -9(x + 93)", "Expand: 6x + 24 + 6 = -9x - 837", "Combine constants: 6x + 30 = -9x - 837", "Add 9x to both sides: 15x + 30 = -837", "Subtract 30 from both sides: 15x = -867", "Divide both sides by 15: x = -289/5"], "final_answer": "-289/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 4) + 6 = -9(x + 93)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 4, \"c\": 6, \"d\": -9, \"e\": 93}", "seed": "4171253831753835086", "semantic_fingerprint": "sha256:90f7e23f0c8eee094ced710c423973973581b7d6109138a7d26474fe34ad7c99", "generator_version": "3.0"}
{"id": "v3_test_id_00003457", "prompt": "Evaluate: -9 * (-8 * 2)", "solution_steps": ["Multiply: -8 * 2 = -16", "Multiply: -9 * (-16) = 144"], "final_answer": "144", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (-8 * 2)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -8, \"c\": 2}", "seed": "5244615591932945226", "semantic_fingerprint": "sha256:3d8ecbc9e040c299e35d8669d561413f3d65b22dba03932dcda49484964bd4a2", "generator_version": "3.0"}
{"id": "v3_test_id_00003458", "prompt": "What is (-95 - 31) * (98 * (0 + 1) * 63)?", "solution_steps": ["Subtract: -95 - 31 = -126", "Add: 0 + 1 = 1", "Multiply: 98 * 1 = 98", "Multiply: 98 * 63 = 6174", "Multiply: -126 * 6174 = -777924"], "final_answer": "-777924", "answer_type": "integer", "kind": "expression", "math_text": "(-95 - 31) * (98 * (0 + 1) * 63)", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (* (* n (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": 31, \"c\": 98, \"d\": 0, \"e\": 1, \"f\": 63}", "seed": "1099454405435358513", "semantic_fingerprint": "sha256:a077e0e170b249ddd6b71cb6c8a6b0ff7e6e24d1be5ba354471fac22a261c017", "generator_version": "3.0"}
{"id": "v3_test_id_00003459", "prompt": "Evaluate: -3 - (-618) + 46", "solution_steps": ["Subtract: -3 - (-618) = 615", "Add: 615 + 46 = 661"], "final_answer": "661", "answer_type": "integer", "kind": "expression", "math_text": "-3 - (-618) + 46", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -618, \"c\": 46}", "seed": "17605856466523389792", "semantic_fingerprint": "sha256:7379cb3e71ce344665fa977085325c5c497bc769c492d4b1b8c3242fdcefc90c", "generator_version": "3.0"}
{"id": "v3_test_id_00003460", "prompt": "Evaluate: -800 - 7 + (-797)", "solution_steps": ["Subtract: -800 - 7 = -807", "Add: -807 + (-797) = -1604"], "final_answer": "-1604", "answer_type": "integer", "kind": "expression", "math_text": "-800 - 7 + (-797)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -800, \"b\": 7, \"c\": -797}", "seed": "12807321402650899397", "semantic_fingerprint": "sha256:e0f800423c0c33e2f9f94654f55904bf6846f4a7d9654381c3a8eb41bbdeb0d4", "generator_version": "3.0"}
{"id": "v3_test_id_00003461", "prompt": "Evaluate: -275 + 5 * (-4 + (-7))", "solution_steps": ["Add: -4 + (-7) = -11", "Multiply: 5 * (-11) = -55", "Add: -275 + (-55) = -330"], "final_answer": "-330", "answer_type": "integer", "kind": "expression", "math_text": "-275 + 5 * (-4 + (-7))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -275, \"b\": 5, \"c\": -4, \"d\": -7}", "seed": "1027374971598482227", "semantic_fingerprint": "sha256:45dcbc974afec07e4387d6ab87de38e351755466b64e346988e7ae50a0268c6f", "generator_version": "3.0"}
{"id": "v3_test_id_00003462", "prompt": "Calculate: 553 / 539 - (-7)", "solution_steps": ["Divide: 553 / 539 = 79/77", "Subtract: 79/77 - (-7) = 618/77"], "final_answer": "618/77", "answer_type": "rational", "kind": "expression", "math_text": "553 / 539 - (-7)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 553, \"b\": 539, \"c\": -7}", "seed": "26373248769073882", "semantic_fingerprint": "sha256:5f57c99742f682777772e10f4110d1531dfc89fb8a631f04db601f56fe6f6ee8", "generator_version": "3.0"}
{"id": "v3_test_id_00003463", "prompt": "What is -85 * (-294 - 73) - (-538)?", "solution_steps": ["Subtract: -294 - 73 = -367", "Multiply: -85 * (-367) = 31195", "Subtract: 31195 - (-538) = 31733"], "final_answer": "31733", "answer_type": "integer", "kind": "expression", "math_text": "-85 * (-294 - 73) - (-538)", "variable": null, "family": "expression_3op", "shape": "(- (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": -294, \"c\": 73, \"d\": -538}", "seed": "8429792122625937073", "semantic_fingerprint": "sha256:a0b7af0247166a3e771de2b7ce81d0e17ce110a7cac9af49de0df89f9ff42c2d", "generator_version": "3.0"}
{"id": "v3_test_id_00003464", "prompt": "Solve the equation -10(x - 222) + 268 = x - 32 for x.", "solution_steps": ["Expand: -10x + 2220 + 268 = x - 32", "Combine constants: -10x + 2488 = x - 32", "Subtract x from both sides: -11x + 2488 = -32", "Subtract 2488 from both sides: -11x = -2520", "Divide both sides by -11: x = 2520/11"], "final_answer": "2520/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 222) + 268 = x - 32", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 222, \"c\": 268, \"d\": 32}", "seed": "9024929387230297844", "semantic_fingerprint": "sha256:4db250d621710b0fb85d735771701ff9468da40ee641f62c57b64b91183d4bcc", "generator_version": "3.0"}
{"id": "v3_test_id_00003465", "prompt": "What is 43 * (-17) * 4?", "solution_steps": ["Multiply: 43 * (-17) = -731", "Multiply: -731 * 4 = -2924"], "final_answer": "-2924", "answer_type": "integer", "kind": "expression", "math_text": "43 * (-17) * 4", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": -17, \"c\": 4}", "seed": "12431150007868075527", "semantic_fingerprint": "sha256:5f463cbd5d762aa3d33d6bf2f609d2b1266862816fc384b5387a417613409110", "generator_version": "3.0"}
{"id": "v3_test_id_00003466", "prompt": "What value of x satisfies 7x + 869 = 2(x - 6) + 796?", "solution_steps": ["Expand: 7x + 869 = 2x - 12 + 796", "Combine constants: 7x + 869 = 2x + 784", "Subtract 2x from both sides: 5x + 869 = 784", "Subtract 869 from both sides: 5x = -85", "Divide both sides by 5: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 869 = 2(x - 6) + 796", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 869, \"c\": 2, \"d\": 6, \"f\": 796, \"x\": -17}", "seed": "2253558652889859079", "semantic_fingerprint": "sha256:4d874f58775d5bb2f14f15b2261314f43ee05e9fc226ff4853a2483b88f304d6", "generator_version": "3.0"}
{"id": "v3_test_id_00003467", "prompt": "Solve for x: x + 250 = -10(x - 3)", "solution_steps": ["Expand: x + 250 = -10x + 30", "Add 10x to both sides: 11x + 250 = 30", "Subtract 250 from both sides: 11x = -220", "Divide both sides by 11: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 250 = -10(x - 3)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 3, \"d\": 250, \"x\": -20}", "seed": "1101343839714994470", "semantic_fingerprint": "sha256:dcb744f5e0eb574bd3578345e8956d84aa3d7b2ecb5c70f77aee58024a339340", "generator_version": "3.0"}
{"id": "v3_test_id_00003468", "prompt": "What is 561 / (38 - (-1) + (0 - 5))?", "solution_steps": ["Subtract: 38 - (-1) = 39", "Subtract: 0 - 5 = -5", "Add: 39 + (-5) = 34", "Divide: 561 / 34 = 33/2"], "final_answer": "33/2", "answer_type": "rational", "kind": "expression", "math_text": "561 / (38 - (-1) + (0 - 5))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (- n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 561, \"b\": 38, \"c\": -1, \"d\": 0, \"e\": 5}", "seed": "8673596107938881702", "semantic_fingerprint": "sha256:cf25b9d78c58b4ba7b409cf698d7dfdb236b57debd7944d4d0ad33e50eaf5e52", "generator_version": "3.0"}
{"id": "v3_test_id_00003469", "prompt": "Solve the equation -2(x + 305) = 10x + 9 for x.", "solution_steps": ["Expand: -2x - 610 = 10x + 9", "Subtract 10x from both sides: -12x - 610 = 9", "Add 610 to both sides: -12x = 619", "Divide both sides by -12: x = -619/12"], "final_answer": "-619/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x + 305) = 10x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 305, \"c\": 10, \"d\": 9}", "seed": "17541325560519047987", "semantic_fingerprint": "sha256:528513c5911102c2a3a4f394fac6e9fa62164eb655cdfe924ff14928cd576f7b", "generator_version": "3.0"}
{"id": "v3_test_id_00003470", "prompt": "What value of x satisfies x = -9(x + 70) - 2?", "solution_steps": ["Expand: x = -9x - 630 - 2", "Combine constants: x = -9x - 632", "Add 9x to both sides: 10x = -632", "Divide both sides by 10: x = -316/5"], "final_answer": "-316/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -9(x + 70) - 2", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 70, \"c\": 2}", "seed": "16746199161821771073", "semantic_fingerprint": "sha256:f8c0694c728aef8e2949c679c1a7dc5bb345f4f199b55216dbe8d805217c40a8", "generator_version": "3.0"}
{"id": "v3_test_id_00003471", "prompt": "Compute: -9 / (-260)", "solution_steps": ["Divide: -9 / (-260) = 9/260"], "final_answer": "9/260", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-260)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -260}", "seed": "12467646255500216065", "semantic_fingerprint": "sha256:b82ea9787fec0c96954129b2a8d4a55ed75b603b828d33088f570a09125d51c0", "generator_version": "3.0"}
{"id": "v3_test_id_00003472", "prompt": "Evaluate: -6 - 59 * (-17) - (-80 - (-4))", "solution_steps": ["Multiply: 59 * (-17) = -1003", "Subtract: -6 - (-1003) = 997", "Subtract: -80 - (-4) = -76", "Subtract: 997 - (-76) = 1073"], "final_answer": "1073", "answer_type": "integer", "kind": "expression", "math_text": "-6 - 59 * (-17) - (-80 - (-4))", "variable": null, "family": "expression_4op", "shape": "(- (- n (* n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 59, \"c\": -17, \"d\": -80, \"e\": -4}", "seed": "9120310639722279506", "semantic_fingerprint": "sha256:7feaddb27e02a2c94e98d012d48e9a7a6a610e895a8209f6d19436fee2d42757", "generator_version": "3.0"}
{"id": "v3_test_id_00003473", "prompt": "What is -7 + (-17) * (85 / 647) / 5?", "solution_steps": ["Divide: 85 / 647 = 85/647", "Multiply: -17 * (85/647) = -1445/647", "Divide: (-1445/647) / 5 = -289/647", "Add: -7 + (-289/647) = -4818/647"], "final_answer": "-4818/647", "answer_type": "rational", "kind": "expression", "math_text": "-7 + (-17) * (85 / 647) / 5", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (* n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -17, \"c\": 85, \"d\": 647, \"e\": 5}", "seed": "14329838866819342337", "semantic_fingerprint": "sha256:a3f9e1d4ee173777beffca9bdb493aa7747aac81b001168db8013509bb49eada", "generator_version": "3.0"}
{"id": "v3_test_id_00003474", "prompt": "Solve the equation 12(x + 2) - 86 = -6x for x.", "solution_steps": ["Expand: 12x + 24 - 86 = -6x", "Combine constants: 12x - 62 = -6x", "Add 6x to both sides: 18x - 62 = 0", "Add 62 to both sides: 18x = 62", "Divide both sides by 18: x = 31/9"], "final_answer": "31/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 2) - 86 = -6x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 86, \"d\": -6}", "seed": "3847383607278910161", "semantic_fingerprint": "sha256:cfb61d9ca8ee12b89c2f18f769229056f24a944fe9f3593507e55a7a49c15fe3", "generator_version": "3.0"}
{"id": "v3_test_id_00003475", "prompt": "Compute: 0 + (127 + 95)", "solution_steps": ["Add: 127 + 95 = 222", "Add: 0 + 222 = 222"], "final_answer": "222", "answer_type": "integer", "kind": "expression", "math_text": "0 + (127 + 95)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 127, \"c\": 95}", "seed": "11693600336604383505", "semantic_fingerprint": "sha256:fba84aa384d3cc8701f5fb85588a92d6c1c381ac0443e14049ddf1915418166d", "generator_version": "3.0"}
{"id": "v3_test_id_00003476", "prompt": "Solve for x: 7(x + 65) = -3x", "solution_steps": ["Expand: 7x + 455 = -3x", "Add 3x to both sides: 10x + 455 = 0", "Subtract 455 from both sides: 10x = -455", "Divide both sides by 10: x = -91/2"], "final_answer": "-91/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 65) = -3x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 65, \"c\": -3}", "seed": "3848785778572504844", "semantic_fingerprint": "sha256:44b49eea22c4b6f97f247d0ece3de5eadd69d41c637332d9a0ebbfa8849496fa", "generator_version": "3.0"}
{"id": "v3_test_id_00003477", "prompt": "Compute: -94 / (2 * 69)", "solution_steps": ["Multiply: 2 * 69 = 138", "Divide: -94 / 138 = -47/69"], "final_answer": "-47/69", "answer_type": "rational", "kind": "expression", "math_text": "-94 / (2 * 69)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": 2, \"c\": 69}", "seed": "13161479527457874623", "semantic_fingerprint": "sha256:64adedccfffd1f34f6961a23c4caaa9e49af058a3be89455dfc176ea7895d48a", "generator_version": "3.0"}
{"id": "v3_test_id_00003478", "prompt": "Evaluate: 9 * 27", "solution_steps": ["Multiply: 9 * 27 = 243"], "final_answer": "243", "answer_type": "integer", "kind": "expression", "math_text": "9 * 27", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 27}", "seed": "3033934022923814824", "semantic_fingerprint": "sha256:cc7eb7fc538ef883a14b18464421ac0901186b34db23eafbe0ed37c1ca7d4196", "generator_version": "3.0"}
{"id": "v3_test_id_00003479", "prompt": "Calculate: 0 + (6 - (200 + (-26))) - (-48)", "solution_steps": ["Add: 200 + (-26) = 174", "Subtract: 6 - 174 = -168", "Add: 0 + (-168) = -168", "Subtract: -168 - (-48) = -120"], "final_answer": "-120", "answer_type": "integer", "kind": "expression", "math_text": "0 + (6 - (200 + (-26))) - (-48)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (- n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 6, \"c\": 200, \"d\": -26, \"e\": -48}", "seed": "6475473284479089352", "semantic_fingerprint": "sha256:434bf4b25e11c1e5e9b88956355116715bc3c61d14dcf03df4bff74125c50eff", "generator_version": "3.0"}
{"id": "v3_test_id_00003480", "prompt": "What value of x satisfies -3x = x + 2?", "solution_steps": ["Subtract x from both sides: -4x = 2", "Divide both sides by -4: x = -1/2"], "final_answer": "-1/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3x = x + 2", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 2}", "seed": "8371120935000954183", "semantic_fingerprint": "sha256:9a80e0345e9986212a79196a4fdf3d9d43a11718e19c874a2fa75d2507243895", "generator_version": "3.0"}
{"id": "v3_test_id_00003481", "prompt": "Solve for x: 12(x + 15) + 43 = 6(x + 2) + 229", "solution_steps": ["Expand: 12x + 180 + 43 = 6(x + 2) + 229", "Expand: 12x + 180 + 43 = 6x + 12 + 229", "Combine constants: 12x + 223 = 6x + 12 + 229", "Combine constants: 12x + 223 = 6x + 241", "Subtract 6x from both sides: 6x + 223 = 241", "Subtract 223 from both sides: 6x = 18", "Divide both sides by 6: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 15) + 43 = 6(x + 2) + 229", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 15, \"c\": 43, \"d\": 6, \"e\": 2, \"g\": 229, \"x\": 3}", "seed": "17923398699521434986", "semantic_fingerprint": "sha256:228c733cea0fa8dd3621478414bbbea1282eac382de46183a0f973079b937b7c", "generator_version": "3.0"}
{"id": "v3_test_id_00003482", "prompt": "Evaluate: -60 - 880 - 0", "solution_steps": ["Subtract: -60 - 880 = -940", "Subtract: -940 - 0 = -940"], "final_answer": "-940", "answer_type": "integer", "kind": "expression", "math_text": "-60 - 880 - 0", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": 880, \"c\": 0}", "seed": "69246606994843285", "semantic_fingerprint": "sha256:57e341cbba938a4816082ba8321160a7ba59cdee9848ef9c07dd2e22557e0a56", "generator_version": "3.0"}
{"id": "v3_test_id_00003483", "prompt": "Find x: 3x = 2(x - 298) + 609", "solution_steps": ["Expand: 3x = 2x - 596 + 609", "Combine constants: 3x = 2x + 13", "Subtract 2x from both sides: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 2(x - 298) + 609", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": 298, \"e\": 609, \"x\": 13}", "seed": "7360512150074545639", "semantic_fingerprint": "sha256:e5f18e23103042779931d1787128b31c93f795418b9470c986cf2cf723650e18", "generator_version": "3.0"}
{"id": "v3_test_id_00003484", "prompt": "Calculate: -3 / (-7)", "solution_steps": ["Divide: -3 / (-7) = 3/7"], "final_answer": "3/7", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-7)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -7}", "seed": "14940363017329878536", "semantic_fingerprint": "sha256:794e2fa60df8b24ade25b01572a78f950aba599afc5e2a53a6c75d366024b631", "generator_version": "3.0"}
{"id": "v3_test_id_00003485", "prompt": "What value of x satisfies 3(x - 24) = x - 72?", "solution_steps": ["Expand: 3x - 72 = x - 72", "Subtract x from both sides: 2x - 72 = -72", "Add 72 to both sides: 2x = 0", "Divide both sides by 2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 24) = x - 72", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 24, \"d\": -72, \"x\": 0}", "seed": "16616601419494896073", "semantic_fingerprint": "sha256:9a67f12a52b198c6914a14ce0fa638e804ef5654e5098c131859292d541123aa", "generator_version": "3.0"}
{"id": "v3_test_id_00003486", "prompt": "Compute: 5 + (-48) / (-460 * (-2)) * (-619)", "solution_steps": ["Multiply: -460 * (-2) = 920", "Divide: -48 / 920 = -6/115", "Multiply: (-6/115) * (-619) = 3714/115", "Add: 5 + 3714/115 = 4289/115"], "final_answer": "4289/115", "answer_type": "rational", "kind": "expression", "math_text": "5 + (-48) / (-460 * (-2)) * (-619)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (/ n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -48, \"c\": -460, \"d\": -2, \"e\": -619}", "seed": "11681284704185473386", "semantic_fingerprint": "sha256:d7a0597e972565aa00e2a2964f4ea530b56772db75b506b032a961197b34279a", "generator_version": "3.0"}
{"id": "v3_test_id_00003487", "prompt": "Find x: -10x + 210 = 4x", "solution_steps": ["Subtract 4x from both sides: -14x + 210 = 0", "Subtract 210 from both sides: -14x = -210", "Divide both sides by -14: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x + 210 = 4x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 4, \"d\": 210, \"x\": 15}", "seed": "14914052476477006326", "semantic_fingerprint": "sha256:c3bb470167bd98a9ab3181e6720c8426bcd31d1304bfa1c8e3019a2c8a07898c", "generator_version": "3.0"}
{"id": "v3_test_id_00003488", "prompt": "Calculate: (37 * (-38 - 9) - 6) * (-9 + (-1))", "solution_steps": ["Subtract: -38 - 9 = -47", "Multiply: 37 * (-47) = -1739", "Subtract: -1739 - 6 = -1745", "Add: -9 + (-1) = -10", "Multiply: -1745 * (-10) = 17450"], "final_answer": "17450", "answer_type": "integer", "kind": "expression", "math_text": "(37 * (-38 - 9) - 6) * (-9 + (-1))", "variable": null, "family": "expression_5op", "shape": "(* (- (* n (- n n)) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": -38, \"c\": 9, \"d\": 6, \"e\": -9, \"f\": -1}", "seed": "17916894643028670591", "semantic_fingerprint": "sha256:97c51201f0d80b7d8650ef8e8c7c34d2d9c30f2d23a90a88e241ba4fb41c67b2", "generator_version": "3.0"}
{"id": "v3_test_id_00003489", "prompt": "Calculate: 86 / (-4 * (-6) * (-23)) - (-82)", "solution_steps": ["Multiply: -4 * (-6) = 24", "Multiply: 24 * (-23) = -552", "Divide: 86 / (-552) = -43/276", "Subtract: -43/276 - (-82) = 22589/276"], "final_answer": "22589/276", "answer_type": "rational", "kind": "expression", "math_text": "86 / (-4 * (-6) * (-23)) - (-82)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (* (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": -4, \"c\": -6, \"d\": -23, \"e\": -82}", "seed": "12080669285205058129", "semantic_fingerprint": "sha256:13417537a5e2a47f801d7ab30ee1a70948682f9d8a1c43e61da878333d535b0b", "generator_version": "3.0"}
{"id": "v3_test_id_00003490", "prompt": "Calculate: 2 - (-924)", "solution_steps": ["Subtract: 2 - (-924) = 926"], "final_answer": "926", "answer_type": "integer", "kind": "expression", "math_text": "2 - (-924)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -924}", "seed": "8405871535509594452", "semantic_fingerprint": "sha256:586f3370785afae3225dd8416e765f821e7b2239456fc95f90daf08723c78c59", "generator_version": "3.0"}
{"id": "v3_test_id_00003491", "prompt": "Calculate: 7 - (32 + 10)", "solution_steps": ["Add: 32 + 10 = 42", "Subtract: 7 - 42 = -35"], "final_answer": "-35", "answer_type": "integer", "kind": "expression", "math_text": "7 - (32 + 10)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 32, \"c\": 10}", "seed": "18112726634806814248", "semantic_fingerprint": "sha256:b303f7a7c2167b9f0f4fb70746f2f75420b1e03aac74aae1ce29110fda6f50b5", "generator_version": "3.0"}
{"id": "v3_test_id_00003492", "prompt": "Solve for x: 10x + 27 = -12x - 193", "solution_steps": ["Add 12x to both sides: 22x + 27 = -193", "Subtract 27 from both sides: 22x = -220", "Divide both sides by 22: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x + 27 = -12x - 193", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 27, \"c\": -12, \"e\": -193, \"x\": -10}", "seed": "1098444424187170986", "semantic_fingerprint": "sha256:205fee595ea06afc819e557470fcb3f9dd955c5b64ea6433bbf98114def1b3b3", "generator_version": "3.0"}
{"id": "v3_test_id_00003493", "prompt": "Calculate: 881 - (-89)", "solution_steps": ["Subtract: 881 - (-89) = 970"], "final_answer": "970", "answer_type": "integer", "kind": "expression", "math_text": "881 - (-89)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 881, \"b\": -89}", "seed": "4107684792522405476", "semantic_fingerprint": "sha256:03e5431058c28955892d4ee36a33581ce278a8f0f683fbfc1459ae16b9b7d809", "generator_version": "3.0"}
{"id": "v3_test_id_00003494", "prompt": "Find x: 6x - 65 = x", "solution_steps": ["Subtract x from both sides: 5x - 65 = 0", "Add 65 to both sides: 5x = 65", "Divide both sides by 5: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 65 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"c\": -65, \"x\": 13}", "seed": "2147752434389782029", "semantic_fingerprint": "sha256:4198cfc956bd9d87468f9e014854b46bccd139eaa32a654eae10ba6a922a9c58", "generator_version": "3.0"}
{"id": "v3_test_id_00003495", "prompt": "Compute: 1 * (-1) / ((19 - (-238)) * (-7 + 22))", "solution_steps": ["Multiply: 1 * (-1) = -1", "Subtract: 19 - (-238) = 257", "Add: -7 + 22 = 15", "Multiply: 257 * 15 = 3855", "Divide: -1 / 3855 = -1/3855"], "final_answer": "-1/3855", "answer_type": "rational", "kind": "expression", "math_text": "1 * (-1) / ((19 - (-238)) * (-7 + 22))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (* (- n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -1, \"c\": 19, \"d\": -238, \"e\": -7, \"f\": 22}", "seed": "6028213418427230446", "semantic_fingerprint": "sha256:7956f336fa45dc4d5ca83db2b3f559b6fd164186ba0d82dcc74870f08d8f5a51", "generator_version": "3.0"}
{"id": "v3_test_id_00003496", "prompt": "Calculate: -9 - (-7)", "solution_steps": ["Subtract: -9 - (-7) = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "expression", "math_text": "-9 - (-7)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -7}", "seed": "18148617173300930408", "semantic_fingerprint": "sha256:298658220886841a355496aac45a018875a073a67be96cf5e496dad7e1ff2406", "generator_version": "3.0"}
{"id": "v3_test_id_00003497", "prompt": "Solve the equation 5(x + 51) = 3(x - 2) for x.", "solution_steps": ["Expand: 5x + 255 = 3(x - 2)", "Expand: 5x + 255 = 3x - 6", "Subtract 3x from both sides: 2x + 255 = -6", "Subtract 255 from both sides: 2x = -261", "Divide both sides by 2: x = -261/2"], "final_answer": "-261/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 51) = 3(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 51, \"c\": 3, \"d\": 2}", "seed": "13918950274812300798", "semantic_fingerprint": "sha256:714a78b1f63599dd5943871157c16a965cc09b612003c512e0d08ef7b38ed62a", "generator_version": "3.0"}
{"id": "v3_test_id_00003498", "prompt": "What is (38 - (489 - 30)) * 9?", "solution_steps": ["Subtract: 489 - 30 = 459", "Subtract: 38 - 459 = -421", "Multiply: -421 * 9 = -3789"], "final_answer": "-3789", "answer_type": "integer", "kind": "expression", "math_text": "(38 - (489 - 30)) * 9", "variable": null, "family": "expression_3op", "shape": "(* (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": 489, \"c\": 30, \"d\": 9}", "seed": "12801510933372205612", "semantic_fingerprint": "sha256:083c873cede0109e74ea37256c7024d59f1a97aa088a8063b40ccbc3ac2aa774", "generator_version": "3.0"}
{"id": "v3_test_id_00003499", "prompt": "What is (41 * (-155) + (-16)) / (28 + 82)?", "solution_steps": ["Multiply: 41 * (-155) = -6355", "Add: -6355 + (-16) = -6371", "Add: 28 + 82 = 110", "Divide: -6371 / 110 = -6371/110"], "final_answer": "-6371/110", "answer_type": "rational", "kind": "expression", "math_text": "(41 * (-155) + (-16)) / (28 + 82)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": -155, \"c\": -16, \"d\": 28, \"e\": 82}", "seed": "1795762840593305668", "semantic_fingerprint": "sha256:a3674a60c9f4b86fcf1a2f193f9117515f62ad5564f54d90e657fa94cf7c3936", "generator_version": "3.0"}
{"id": "v3_test_id_00003500", "prompt": "Solve the equation 9(x + 83) - 738 = 7(x + 3) for x.", "solution_steps": ["Expand: 9x + 747 - 738 = 7(x + 3)", "Expand: 9x + 747 - 738 = 7x + 21", "Combine constants: 9x + 9 = 7x + 21", "Subtract 7x from both sides: 2x + 9 = 21", "Subtract 9 from both sides: 2x = 12", "Divide both sides by 2: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 83) - 738 = 7(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\": 83, \"c\": 7, \"d\": 3, \"f\": -738, \"x\": 6}", "seed": "3793761721856927861", "semantic_fingerprint": "sha256:3743286b2926352ca274ea06dbd580f0366df7e2aab64cd213928cc7b388ed84", "generator_version": "3.0"}
{"id": "v3_test_id_00003501", "prompt": "Find x: 6(x - 4) + 696 = -4x", "solution_steps": ["Expand: 6x - 24 + 696 = -4x", "Combine constants: 6x + 672 = -4x", "Add 4x to both sides: 10x + 672 = 0", "Subtract 672 from both sides: 10x = -672", "Divide both sides by 10: x = -336/5"], "final_answer": "-336/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 4) + 696 = -4x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 4, \"c\": 696, \"d\": -4}", "seed": "14539751828495846555", "semantic_fingerprint": "sha256:ae675f130a5226f2594508ad1e1c2089bf2a24395b9cc7b4a0949435d78c01ea", "generator_version": "3.0"}
{"id": "v3_test_id_00003502", "prompt": "Compute: 7 * (-84 * 0)", "solution_steps": ["Multiply: -84 * 0 = 0", "Multiply: 7 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "7 * (-84 * 0)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -84, \"c\": 0}", "seed": "3460450913006747675", "semantic_fingerprint": "sha256:893225b08941f7f4554e2d7148bed3eb8cb105c8fee7cc3afc39c19e4c73ea39", "generator_version": "3.0"}
{"id": "v3_test_id_00003503", "prompt": "Calculate: 92 + 15 + 6 * (-36)", "solution_steps": ["Add: 92 + 15 = 107", "Multiply: 6 * (-36) = -216", "Add: 107 + (-216) = -109"], "final_answer": "-109", "answer_type": "integer", "kind": "expression", "math_text": "92 + 15 + 6 * (-36)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": 15, \"c\": 6, \"d\": -36}", "seed": "3505005791748000020", "semantic_fingerprint": "sha256:9b68135d86095ffaed81e0aad50812c8c57a659e41c7b6a8794cc77bdde5be6a", "generator_version": "3.0"}
{"id": "v3_test_id_00003504", "prompt": "Compute: (742 + 87) * (-64) / (-561 / (-6))", "solution_steps": ["Add: 742 + 87 = 829", "Multiply: 829 * (-64) = -53056", "Divide: -561 / (-6) = 187/2", "Divide: -53056 / (187/2) = -106112/187"], "final_answer": "-106112/187", "answer_type": "rational", "kind": "expression", "math_text": "(742 + 87) * (-64) / (-561 / (-6))", "variable": null, "family": "expression_4op", "shape": "(/ (* (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 742, \"b\": 87, \"c\": -64, \"d\": -561, \"e\": -6}", "seed": "2927259210634872085", "semantic_fingerprint": "sha256:ba9a108c85f508e92b1810cf55f6688db5a6e705e7332913c9d930f57365a2a9", "generator_version": "3.0"}
{"id": "v3_test_id_00003505", "prompt": "What is 11 - 4 * 13 + 37?", "solution_steps": ["Multiply: 4 * 13 = 52", "Subtract: 11 - 52 = -41", "Add: -41 + 37 = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "expression", "math_text": "11 - 4 * 13 + 37", "variable": null, "family": "expression_3op", "shape": "(+ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": 13, \"d\": 37}", "seed": "8805114538903343188", "semantic_fingerprint": "sha256:c417937d17afb4fbf58b53537a2993f0a2075d7513cdf159cdaea46a8fb601be", "generator_version": "3.0"}
{"id": "v3_test_id_00003506", "prompt": "Solve for x: 9(x - 95) = 4(x - 41)", "solution_steps": ["Expand: 9x - 855 = 4(x - 41)", "Expand: 9x - 855 = 4x - 164", "Subtract 4x from both sides: 5x - 855 = -164", "Add 855 to both sides: 5x = 691", "Divide both sides by 5: x = 691/5"], "final_answer": "691/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 95) = 4(x - 41)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 95, \"c\": 4, \"d\": 41}", "seed": "4923240302087356439", "semantic_fingerprint": "sha256:9871bb7d9624b6741b74a595f84f752880936b3ff38fbbf416cb52a2ee70af9a", "generator_version": "3.0"}
{"id": "v3_test_id_00003507", "prompt": "Find x: 9x = 12x - 60", "solution_steps": ["Subtract 12x from both sides: -3x = -60", "Divide both sides by -3: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 12x - 60", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 12, \"d\": -60, \"x\": 20}", "seed": "7616137923460127897", "semantic_fingerprint": "sha256:7eb70ab40e0e7d26a7dae746cc3e9456e8d08769fc2619ec9b174e36cfa7e90b", "generator_version": "3.0"}
{"id": "v3_test_id_00003508", "prompt": "What is 965 * 753 + (-308)?", "solution_steps": ["Multiply: 965 * 753 = 726645", "Add: 726645 + (-308) = 726337"], "final_answer": "726337", "answer_type": "integer", "kind": "expression", "math_text": "965 * 753 + (-308)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 965, \"b\": 753, \"c\": -308}", "seed": "16207409173287218955", "semantic_fingerprint": "sha256:250f454a679e09fffac12f4a4e4d1a731483272bca0604fbd6b3fa0c575a1a37", "generator_version": "3.0"}
{"id": "v3_test_id_00003509", "prompt": "Compute: (-50 - (-223 - (-706 - 28))) / (-486)", "solution_steps": ["Subtract: -706 - 28 = -734", "Subtract: -223 - (-734) = 511", "Subtract: -50 - 511 = -561", "Divide: -561 / (-486) = 187/162"], "final_answer": "187/162", "answer_type": "rational", "kind": "expression", "math_text": "(-50 - (-223 - (-706 - 28))) / (-486)", "variable": null, "family": "expression_4op", "shape": "(/ (- n (- n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": -223, \"c\": -706, \"d\": 28, \"e\": -486}", "seed": "7907161501651941282", "semantic_fingerprint": "sha256:1f2cf026b362758a3cd624d080cdc45a25ccfbf45a416857d183226742fa9ef3", "generator_version": "3.0"}
{"id": "v3_test_id_00003510", "prompt": "Solve for x: 10(x + 5) - 75 = -2(x - 783) + 4", "solution_steps": ["Expand: 10x + 50 - 75 = -2(x - 783) + 4", "Expand: 10x + 50 - 75 = -2x + 1566 + 4", "Combine constants: 10x - 25 = -2x + 1566 + 4", "Combine constants: 10x - 25 = -2x + 1570", "Add 2x to both sides: 12x - 25 = 1570", "Add 25 to both sides: 12x = 1595", "Divide both sides by 12: x = 1595/12"], "final_answer": "1595/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 5) - 75 = -2(x - 783) + 4", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 5, \"c\": 75, \"d\": -2, \"e\": 783, \"f\": 4}", "seed": "18162786452822620395", "semantic_fingerprint": "sha256:bc665d841b562c49e8285af75be3a8d910ebfdbab2c62351f7816505ba32968a", "generator_version": "3.0"}
{"id": "v3_test_id_00003511", "prompt": "Evaluate: -866 - (-379 / 924 - (-55))", "solution_steps": ["Divide: -379 / 924 = -379/924", "Subtract: -379/924 - (-55) = 50441/924", "Subtract: -866 - 50441/924 = -850625/924"], "final_answer": "-850625/924", "answer_type": "rational", "kind": "expression", "math_text": "-866 - (-379 / 924 - (-55))", "variable": null, "family": "expression_3op", "shape": "(- n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -866, \"b\": -379, \"c\": 924, \"d\": -55}", "seed": "12671626315278736802", "semantic_fingerprint": "sha256:8ddc83662a4ed6a69c316e91cacdc75533b92734d2eba5b82f786ad19592e93c", "generator_version": "3.0"}
{"id": "v3_test_id_00003512", "prompt": "Evaluate: -1 / (-57)", "solution_steps": ["Divide: -1 / (-57) = 1/57"], "final_answer": "1/57", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (-57)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -57}", "seed": "6217473520138416002", "semantic_fingerprint": "sha256:5ef10bc117499bd15c59ff5d62ad475d01bfed4fe95ccd2c4eeab3614458d160", "generator_version": "3.0"}
{"id": "v3_test_id_00003513", "prompt": "Find x: 8(x - 5) - 282 = x - 399", "solution_steps": ["Expand: 8x - 40 - 282 = x - 399", "Combine constants: 8x - 322 = x - 399", "Subtract x from both sides: 7x - 322 = -399", "Add 322 to both sides: 7x = -77", "Divide both sides by 7: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 5) - 282 = x - 399", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 5, \"c\": 282, \"e\": -399, \"x\": -11}", "seed": "598832687276365261", "semantic_fingerprint": "sha256:c4e5efff05432876e2bdb8bdcb6ecbfde7198a139146147bf81ee68580c98b9e", "generator_version": "3.0"}
{"id": "v3_test_id_00003514", "prompt": "Find x: 12x - 32 = -11x", "solution_steps": ["Add 11x to both sides: 23x - 32 = 0", "Add 32 to both sides: 23x = 32", "Divide both sides by 23: x = 32/23"], "final_answer": "32/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 32 = -11x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 32, \"c\": -11}", "seed": "17399196860460141431", "semantic_fingerprint": "sha256:726c6d08dd7bae1f50841c915602b5aca21cb1c034068f7ca7aade5f94df5203", "generator_version": "3.0"}
{"id": "v3_test_id_00003515", "prompt": "Solve for x: 12x = 3x - 8", "solution_steps": ["Subtract 3x from both sides: 9x = -8", "Divide both sides by 9: x = -8/9"], "final_answer": "-8/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x = 3x - 8", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 3, \"c\": 8}", "seed": "457234799689355783", "semantic_fingerprint": "sha256:712a54c03d1ca7d7cd3a1af37a2ee416bbfd2ad578540a53ccff8c3dc9e4683d", "generator_version": "3.0"}
{"id": "v3_test_id_00003516", "prompt": "What value of x satisfies -12(x - 7) - 3 = 7(x + 87) - 889?", "solution_steps": ["Expand: -12x + 84 - 3 = 7(x + 87) - 889", "Expand: -12x + 84 - 3 = 7x + 609 - 889", "Combine constants: -12x + 81 = 7x + 609 - 889", "Combine constants: -12x + 81 = 7x - 280", "Subtract 7x from both sides: -19x + 81 = -280", "Subtract 81 from both sides: -19x = -361", "Divide both sides by -19: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 7) - 3 = 7(x + 87) - 889", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 7, \"c\": 3, \"d\": 7, \"e\": 87, \"g\": -889, \"x\": 19}", "seed": "10537250840682058846", "semantic_fingerprint": "sha256:2afbbd6ecee5406ffd5beee8afa04ce0550f7548f6c7fa3ea3fb7f819c8256e1", "generator_version": "3.0"}
{"id": "v3_test_id_00003517", "prompt": "Calculate: 19 + 30", "solution_steps": ["Add: 19 + 30 = 49"], "final_answer": "49", "answer_type": "integer", "kind": "expression", "math_text": "19 + 30", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": 30}", "seed": "11407894599682271381", "semantic_fingerprint": "sha256:8255d86e56893bddfa8568a2c23c9a455cb8ede86a9e628a89fdbfd415aba991", "generator_version": "3.0"}
{"id": "v3_test_id_00003518", "prompt": "Calculate: 0 + (0 - 4 + (-77))", "solution_steps": ["Subtract: 0 - 4 = -4", "Add: -4 + (-77) = -81", "Add: 0 + (-81) = -81"], "final_answer": "-81", "answer_type": "integer", "kind": "expression", "math_text": "0 + (0 - 4 + (-77))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 0, \"c\": 4, \"d\": -77}", "seed": "10516093006279680366", "semantic_fingerprint": "sha256:0da5dc086c49752b0caa639b30f2098e0450f3367045e62ed89d6f603a56112e", "generator_version": "3.0"}
{"id": "v3_test_id_00003519", "prompt": "What is -16 - (7 - 41)?", "solution_steps": ["Subtract: 7 - 41 = -34", "Subtract: -16 - (-34) = 18"], "final_answer": "18", "answer_type": "integer", "kind": "expression", "math_text": "-16 - (7 - 41)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": 7, \"c\": 41}", "seed": "2751968564277235580", "semantic_fingerprint": "sha256:aebe44666c463f2394a108d6869585ebcb80ace634e909245291afdc54501ff5", "generator_version": "3.0"}
{"id": "v3_test_id_00003520", "prompt": "Solve for x: x - 75 = -3(x + 5)", "solution_steps": ["Expand: x - 75 = -3x - 15", "Add 3x to both sides: 4x - 75 = -15", "Add 75 to both sides: 4x = 60", "Divide both sides by 4: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 75 = -3(x + 5)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 5, \"d\": -75, \"x\": 15}", "seed": "8987550862234333294", "semantic_fingerprint": "sha256:9dcca3a4cd52f59855131858c336d021475e297d828e0eff04726f94ec334ff6", "generator_version": "3.0"}
{"id": "v3_test_id_00003521", "prompt": "Solve the equation 2(x - 44) - 4 = x - 88 for x.", "solution_steps": ["Expand: 2x - 88 - 4 = x - 88", "Combine constants: 2x - 92 = x - 88", "Subtract x from both sides: x - 92 = -88", "Add 92 to both sides: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 44) - 4 = x - 88", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 44, \"c\": 4, \"e\": -88, \"x\": 4}", "seed": "4126460193358111824", "semantic_fingerprint": "sha256:f73baa4a375a359ac6857c90a8c452de2abc9c111850f4640c0b2446f36c22c7", "generator_version": "3.0"}
{"id": "v3_test_id_00003522", "prompt": "What value of x satisfies 6(x - 65) - 2 = -4x - 1?", "solution_steps": ["Expand: 6x - 390 - 2 = -4x - 1", "Combine constants: 6x - 392 = -4x - 1", "Add 4x to both sides: 10x - 392 = -1", "Add 392 to both sides: 10x = 391", "Divide both sides by 10: x = 391/10"], "final_answer": "391/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 65) - 2 = -4x - 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 65, \"c\": 2, \"d\": -4, \"e\": 1}", "seed": "6507784221925254585", "semantic_fingerprint": "sha256:fe75547f91e2a1b1746042222b9c3378412b75129d7b61ea9e038f18c60ac153", "generator_version": "3.0"}
{"id": "v3_test_id_00003523", "prompt": "Calculate: -843 - (-3 - (-4))", "solution_steps": ["Subtract: -3 - (-4) = 1", "Subtract: -843 - 1 = -844"], "final_answer": "-844", "answer_type": "integer", "kind": "expression", "math_text": "-843 - (-3 - (-4))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -843, \"b\": -3, \"c\": -4}", "seed": "17108912524005844519", "semantic_fingerprint": "sha256:d7410b7b6370c9ee013d163a6bed078443ebc062bb6fd55126a238f823aad0a2", "generator_version": "3.0"}
{"id": "v3_test_id_00003524", "prompt": "Evaluate: 5 + 7 + (-50)", "solution_steps": ["Add: 5 + 7 = 12", "Add: 12 + (-50) = -38"], "final_answer": "-38", "answer_type": "integer", "kind": "expression", "math_text": "5 + 7 + (-50)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 7, \"c\": -50}", "seed": "6585025283749540471", "semantic_fingerprint": "sha256:2563f4549ef7a475a98e13da43fce118aa7cd06672eab898ca75c212f27f58a7", "generator_version": "3.0"}
{"id": "v3_test_id_00003525", "prompt": "Evaluate: -8 - (-86) * (-7) / (-7 + (-720))", "solution_steps": ["Multiply: -86 * (-7) = 602", "Add: -7 + (-720) = -727", "Divide: 602 / (-727) = -602/727", "Subtract: -8 - (-602/727) = -5214/727"], "final_answer": "-5214/727", "answer_type": "rational", "kind": "expression", "math_text": "-8 - (-86) * (-7) / (-7 + (-720))", "variable": null, "family": "expression_4op", "shape": "(- n (/ (* n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -86, \"c\": -7, \"d\": -7, \"e\": -720}", "seed": "16160569155725611430", "semantic_fingerprint": "sha256:b71ac35f3ec84348d873fdb661944173d4b39aadd3d96147a47100f093cd4dad", "generator_version": "3.0"}
{"id": "v3_test_id_00003526", "prompt": "Solve the equation 9(x + 84) = 8(x + 64) + 571 for x.", "solution_steps": ["Expand: 9x + 756 = 8(x + 64) + 571", "Expand: 9x + 756 = 8x + 512 + 571", "Combine constants: 9x + 756 = 8x + 1083", "Subtract 8x from both sides: x + 756 = 1083", "Subtract 756 from both sides: x = 327"], "final_answer": "327", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 84) = 8(x + 64) + 571", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 84, \"c\": 8, \"d\": 64, \"e\": 571}", "seed": "7970111023489034120", "semantic_fingerprint": "sha256:7a39697de103aafb64603b613701f79bc62badae423197ecf4307920c43d73e2", "generator_version": "3.0"}
{"id": "v3_test_id_00003527", "prompt": "Solve for x: -4x + 4 = -2(x - 2)", "solution_steps": ["Expand: -4x + 4 = -2x + 4", "Add 2x to both sides: -2x + 4 = 4", "Subtract 4 from both sides: -2x = 0", "Divide both sides by -2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x + 4 = -2(x - 2)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -2, \"c\": 2, \"e\": 4, \"x\": 0}", "seed": "18010953051468740833", "semantic_fingerprint": "sha256:16957d9a190ef9f1e0973e93a1b767d7c88e5f42699fd47665634c3e086a02d3", "generator_version": "3.0"}
{"id": "v3_test_id_00003528", "prompt": "Solve for x: x - 95 = -7(x - 553) - 46", "solution_steps": ["Expand: x - 95 = -7x + 3871 - 46", "Combine constants: x - 95 = -7x + 3825", "Add 7x to both sides: 8x - 95 = 3825", "Add 95 to both sides: 8x = 3920", "Divide both sides by 8: x = 490"], "final_answer": "490", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 95 = -7(x - 553) - 46", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": -7, \"c\": 553, \"d\": 46}", "seed": "9896769872196318862", "semantic_fingerprint": "sha256:1b735b7578797714fcef20138a55332a9d7c24a392baa5bf61a74a56dbb93e5c", "generator_version": "3.0"}
{"id": "v3_test_id_00003529", "prompt": "Compute: -7 * (530 * 49)", "solution_steps": ["Multiply: 530 * 49 = 25970", "Multiply: -7 * 25970 = -181790"], "final_answer": "-181790", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (530 * 49)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 530, \"c\": 49}", "seed": "15255200791180091438", "semantic_fingerprint": "sha256:6ef93a40b6d3c161aaec64ff9c1369f9d71f32e10b5fdd547cc99b146029e6d8", "generator_version": "3.0"}
{"id": "v3_test_id_00003530", "prompt": "Calculate: 884 * (-67) / 235", "solution_steps": ["Multiply: 884 * (-67) = -59228", "Divide: -59228 / 235 = -59228/235"], "final_answer": "-59228/235", "answer_type": "rational", "kind": "expression", "math_text": "884 * (-67) / 235", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 884, \"b\": -67, \"c\": 235}", "seed": "15419466022757559234", "semantic_fingerprint": "sha256:17d1734e22714bee37b9ca56990b5d3f07d141019c288b0e0a2c71e1790b2d97", "generator_version": "3.0"}
{"id": "v3_test_id_00003531", "prompt": "What is 941 * 3 / 77?", "solution_steps": ["Multiply: 941 * 3 = 2823", "Divide: 2823 / 77 = 2823/77"], "final_answer": "2823/77", "answer_type": "rational", "kind": "expression", "math_text": "941 * 3 / 77", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 941, \"b\": 3, \"c\": 77}", "seed": "12259706947028427567", "semantic_fingerprint": "sha256:23393720761227296796682a8d4c89c3493857a9eeed277f929871a073002b2b", "generator_version": "3.0"}
{"id": "v3_test_id_00003532", "prompt": "What value of x satisfies 5(x + 97) = -10(x + 24)?", "solution_steps": ["Expand: 5x + 485 = -10(x + 24)", "Expand: 5x + 485 = -10x - 240", "Add 10x to both sides: 15x + 485 = -240", "Subtract 485 from both sides: 15x = -725", "Divide both sides by 15: x = -145/3"], "final_answer": "-145/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 97) = -10(x + 24)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 97, \"c\": -10, \"d\": 24}", "seed": "10713237959001751677", "semantic_fingerprint": "sha256:f178bfa9926df086ac0573120a899c048ef0b6fccebddc025889620a9dc9021b", "generator_version": "3.0"}
{"id": "v3_test_id_00003533", "prompt": "What is 0 / (185 * (-49)) - 29 * (-48)?", "solution_steps": ["Multiply: 185 * (-49) = -9065", "Divide: 0 / (-9065) = 0", "Multiply: 29 * (-48) = -1392", "Subtract: 0 - (-1392) = 1392"], "final_answer": "1392", "answer_type": "integer", "kind": "expression", "math_text": "0 / (185 * (-49)) - 29 * (-48)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (* n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 185, \"c\": -49, \"d\": 29, \"e\": -48}", "seed": "15800139113137636834", "semantic_fingerprint": "sha256:c5e99ad8008f99985da1d866a8a4028632601e08bda40fa71e6374180ffc17fa", "generator_version": "3.0"}
{"id": "v3_test_id_00003534", "prompt": "Compute: -943 - (5 * 357 - 133)", "solution_steps": ["Multiply: 5 * 357 = 1785", "Subtract: 1785 - 133 = 1652", "Subtract: -943 - 1652 = -2595"], "final_answer": "-2595", "answer_type": "integer", "kind": "expression", "math_text": "-943 - (5 * 357 - 133)", "variable": null, "family": "expression_3op", "shape": "(- n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -943, \"b\": 5, \"c\": 357, \"d\": 133}", "seed": "17640610237862981432", "semantic_fingerprint": "sha256:69ac100f8be941bd2883714887ac88155c9a05b58e479344fa374e202eb690ac", "generator_version": "3.0"}
{"id": "v3_test_id_00003535", "prompt": "What value of x satisfies -10x - 40 = x - 150?", "solution_steps": ["Subtract x from both sides: -11x - 40 = -150", "Add 40 to both sides: -11x = -110", "Divide both sides by -11: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x - 40 = x - 150", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 40, \"d\": -150, \"x\": 10}", "seed": "13511511586802374675", "semantic_fingerprint": "sha256:36a3b836f0360d5bf35a3eda2b75c27a108b1c7924c8c43644334fff1f8956f9", "generator_version": "3.0"}
{"id": "v3_test_id_00003536", "prompt": "Compute: 943 - (-410) - (-5) + (4 - 40)", "solution_steps": ["Subtract: 943 - (-410) = 1353", "Subtract: 1353 - (-5) = 1358", "Subtract: 4 - 40 = -36", "Add: 1358 + (-36) = 1322"], "final_answer": "1322", "answer_type": "integer", "kind": "expression", "math_text": "943 - (-410) - (-5) + (4 - 40)", "variable": null, "family": "expression_4op", "shape": "(+ (- (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 943, \"b\": -410, \"c\": -5, \"d\": 4, \"e\": 40}", "seed": "16952211200377319363", "semantic_fingerprint": "sha256:594c44a0e43abb41a0a73fb1948d30e5644532eb79fc6753f98cf030be72681d", "generator_version": "3.0"}
{"id": "v3_test_id_00003537", "prompt": "Solve for x: -3(x - 86) = 7x + 318", "solution_steps": ["Expand: -3x + 258 = 7x + 318", "Subtract 7x from both sides: -10x + 258 = 318", "Subtract 258 from both sides: -10x = 60", "Divide both sides by -10: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 86) = 7x + 318", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 86, \"c\": 7, \"e\": 318, \"x\": -6}", "seed": "11257876171203681260", "semantic_fingerprint": "sha256:61b79236e4b1e7cc014e43692b99a4ac3879048ea03475a9e2749bc66aea43c3", "generator_version": "3.0"}
{"id": "v3_test_id_00003538", "prompt": "Find x: 6x = 8(x - 6)", "solution_steps": ["Expand: 6x = 8x - 48", "Subtract 8x from both sides: -2x = -48", "Divide both sides by -2: x = 24"], "final_answer": "24", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = 8(x - 6)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": 6}", "seed": "6275780123739342611", "semantic_fingerprint": "sha256:42dca526e4fb4c247aebdb6297fdd65dbcd7e13370499593b3c2f502eae101c9", "generator_version": "3.0"}
{"id": "v3_test_id_00003539", "prompt": "Compute: 540 * (-2) * (1 + 6 + (-56)) + (-349)", "solution_steps": ["Multiply: 540 * (-2) = -1080", "Add: 1 + 6 = 7", "Add: 7 + (-56) = -49", "Multiply: -1080 * (-49) = 52920", "Add: 52920 + (-349) = 52571"], "final_answer": "52571", "answer_type": "integer", "kind": "expression", "math_text": "540 * (-2) * (1 + 6 + (-56)) + (-349)", "variable": null, "family": "expression_5op", "shape": "(+ (* (* n n) (+ (+ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 540, \"b\": -2, \"c\": 1, \"d\": 6, \"e\": -56, \"f\": -349}", "seed": "7994704290787035177", "semantic_fingerprint": "sha256:ee6f4b53be7e8a303d81ef672c50068a0f605aa2a1038bc8cd6eca1c71c854b0", "generator_version": "3.0"}
{"id": "v3_test_id_00003540", "prompt": "Evaluate: -118 / 6", "solution_steps": ["Divide: -118 / 6 = -59/3"], "final_answer": "-59/3", "answer_type": "rational", "kind": "expression", "math_text": "-118 / 6", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -118, \"b\": 6}", "seed": "17867206091930236513", "semantic_fingerprint": "sha256:233d0105bbe603eb405544e76be36292048729dd15b4a8e51df97464499fabde", "generator_version": "3.0"}
{"id": "v3_test_id_00003541", "prompt": "Find x: 6x + 7 = 5(x + 70) + 83", "solution_steps": ["Expand: 6x + 7 = 5x + 350 + 83", "Combine constants: 6x + 7 = 5x + 433", "Subtract 5x from both sides: x + 7 = 433", "Subtract 7 from both sides: x = 426"], "final_answer": "426", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x + 7 = 5(x + 70) + 83", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 7, \"c\": 5, \"d\": 70, \"e\": 83}", "seed": "539396544810099895", "semantic_fingerprint": "sha256:fcfc213db3a50e261fe617c58a4dd4954d3aac714f74d615815f78cdb82d0118", "generator_version": "3.0"}
{"id": "v3_test_id_00003542", "prompt": "What value of x satisfies 11x - 198 = -7x?", "solution_steps": ["Add 7x to both sides: 18x - 198 = 0", "Add 198 to both sides: 18x = 198", "Divide both sides by 18: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 198 = -7x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -7, \"d\": -198, \"x\": 11}", "seed": "7020399127941023334", "semantic_fingerprint": "sha256:85f36eeeaf4b2ad2824ff210599f0f349eb1e60511207eb90cb5538c702961f2", "generator_version": "3.0"}
{"id": "v3_test_id_00003543", "prompt": "Calculate: -9 - (-332) * 1", "solution_steps": ["Multiply: -332 * 1 = -332", "Subtract: -9 - (-332) = 323"], "final_answer": "323", "answer_type": "integer", "kind": "expression", "math_text": "-9 - (-332) * 1", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -332, \"c\": 1}", "seed": "16624765268593744246", "semantic_fingerprint": "sha256:3af8a226bd26a04016428e1655ff246c98b275d38d70d632b3f4bab637c0ec48", "generator_version": "3.0"}
{"id": "v3_test_id_00003544", "prompt": "Compute: 238 - (-1)", "solution_steps": ["Subtract: 238 - (-1) = 239"], "final_answer": "239", "answer_type": "integer", "kind": "expression", "math_text": "238 - (-1)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 238, \"b\": -1}", "seed": "1617820371664440321", "semantic_fingerprint": "sha256:29b27645e9d0ba74792577a6107f86ac51e160a2c45eb3314c17184502aa6f89", "generator_version": "3.0"}
{"id": "v3_test_id_00003545", "prompt": "Solve the equation 12(x - 49) + 12 = 9x - 5 for x.", "solution_steps": ["Expand: 12x - 588 + 12 = 9x - 5", "Combine constants: 12x - 576 = 9x - 5", "Subtract 9x from both sides: 3x - 576 = -5", "Add 576 to both sides: 3x = 571", "Divide both sides by 3: x = 571/3"], "final_answer": "571/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 49) + 12 = 9x - 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 49, \"c\": 12, \"d\": 9, \"e\": 5}", "seed": "5968763835354830648", "semantic_fingerprint": "sha256:a39dedec5c2d6b48e33cc2cf1d029330631e34ef3243770ae471d7c584c9e791", "generator_version": "3.0"}
{"id": "v3_test_id_00003546", "prompt": "Compute: 64 + 954", "solution_steps": ["Add: 64 + 954 = 1018"], "final_answer": "1018", "answer_type": "integer", "kind": "expression", "math_text": "64 + 954", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": 954}", "seed": "17285227938439689749", "semantic_fingerprint": "sha256:ae54b9e8a26aa45d4783e1ead33313eaec3d310ccceaafeb7a9f94c9d6a35a50", "generator_version": "3.0"}
{"id": "v3_test_id_00003547", "prompt": "Compute: 625 - (-3) - (626 - 67)", "solution_steps": ["Subtract: 625 - (-3) = 628", "Subtract: 626 - 67 = 559", "Subtract: 628 - 559 = 69"], "final_answer": "69", "answer_type": "integer", "kind": "expression", "math_text": "625 - (-3) - (626 - 67)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 625, \"b\": -3, \"c\": 626, \"d\": 67}", "seed": "11740778205283803231", "semantic_fingerprint": "sha256:02be992b93c77e480437592979d1b3a2f3cb07358e2e886936260371c8b4994e", "generator_version": "3.0"}
{"id": "v3_test_id_00003548", "prompt": "Calculate: -73 * (-7) + (-813)", "solution_steps": ["Multiply: -73 * (-7) = 511", "Add: 511 + (-813) = -302"], "final_answer": "-302", "answer_type": "integer", "kind": "expression", "math_text": "-73 * (-7) + (-813)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": -7, \"c\": -813}", "seed": "13542106844047096177", "semantic_fingerprint": "sha256:97db48458b8416b95df54a35eb5615e0eb3c29ceb7a32f797791bd91ca16d465", "generator_version": "3.0"}
{"id": "v3_test_id_00003549", "prompt": "Solve the equation 10(x + 53) - 3 = 8(x - 930) for x.", "solution_steps": ["Expand: 10x + 530 - 3 = 8(x - 930)", "Expand: 10x + 530 - 3 = 8x - 7440", "Combine constants: 10x + 527 = 8x - 7440", "Subtract 8x from both sides: 2x + 527 = -7440", "Subtract 527 from both sides: 2x = -7967", "Divide both sides by 2: x = -7967/2"], "final_answer": "-7967/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 53) - 3 = 8(x - 930)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 53, \"c\": 3, \"d\": 8, \"e\": 930}", "seed": "10776221121990010817", "semantic_fingerprint": "sha256:fe6879b5a642776ae06dbc5dbe8ffac0fa09e4ff93773722be31b5e2ad699114", "generator_version": "3.0"}
{"id": "v3_test_id_00003550", "prompt": "Calculate: (84 - (-68 - 8)) / (-6)", "solution_steps": ["Subtract: -68 - 8 = -76", "Subtract: 84 - (-76) = 160", "Divide: 160 / (-6) = -80/3"], "final_answer": "-80/3", "answer_type": "rational", "kind": "expression", "math_text": "(84 - (-68 - 8)) / (-6)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": -68, \"c\": 8, \"d\": -6}", "seed": "17636424968908161501", "semantic_fingerprint": "sha256:8a2f45a8fde6ae53cea702d9a23e1c1427333a9dc3ce8ded030cec87454fa7fe", "generator_version": "3.0"}
{"id": "v3_test_id_00003551", "prompt": "Calculate: -700 + (-19) * (-49)", "solution_steps": ["Multiply: -19 * (-49) = 931", "Add: -700 + 931 = 231"], "final_answer": "231", "answer_type": "integer", "kind": "expression", "math_text": "-700 + (-19) * (-49)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -700, \"b\": -19, \"c\": -49}", "seed": "3535160632430263780", "semantic_fingerprint": "sha256:b3b3a56ac25f771d31d345b81185898bf858b252f655439f284f232c6cdb72ef", "generator_version": "3.0"}
{"id": "v3_test_id_00003552", "prompt": "Solve the equation x + 67 = 2(x + 29) for x.", "solution_steps": ["Expand: x + 67 = 2x + 58", "Subtract 2x from both sides: -x + 67 = 58", "Subtract 67 from both sides: -x = -9", "Divide both sides by -1: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 67 = 2(x + 29)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 29, \"d\": 67, \"x\": 9}", "seed": "17849350325699436312", "semantic_fingerprint": "sha256:435d343aac11d98ad3fc7e9787c96df180c08f004b7d329decf3b7ecf0c66acf", "generator_version": "3.0"}
{"id": "v3_test_id_00003553", "prompt": "What is -67 * (-88 * 79) / (-53 + 6)?", "solution_steps": ["Multiply: -88 * 79 = -6952", "Multiply: -67 * (-6952) = 465784", "Add: -53 + 6 = -47", "Divide: 465784 / (-47) = -465784/47"], "final_answer": "-465784/47", "answer_type": "rational", "kind": "expression", "math_text": "-67 * (-88 * 79) / (-53 + 6)", "variable": null, "family": "expression_4op", "shape": "(/ (* n (* n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": -88, \"c\": 79, \"d\": -53, \"e\": 6}", "seed": "288231425339161161", "semantic_fingerprint": "sha256:d26ff18ac3b2df35e6332469fc44d19594c5a9df995c76b01bec8697d4aa71d5", "generator_version": "3.0"}
{"id": "v3_test_id_00003554", "prompt": "What is 2 - 0 * (8 * 40) + (-10 - 40)?", "solution_steps": ["Multiply: 8 * 40 = 320", "Multiply: 0 * 320 = 0", "Subtract: 2 - 0 = 2", "Subtract: -10 - 40 = -50", "Add: 2 + (-50) = -48"], "final_answer": "-48", "answer_type": "integer", "kind": "expression", "math_text": "2 - 0 * (8 * 40) + (-10 - 40)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (* n (* n n))) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 0, \"c\": 8, \"d\": 40, \"e\": -10, \"f\": 40}", "seed": "7799289544390071650", "semantic_fingerprint": "sha256:85c3d40ecbb976b522d2759049345d980e622aa28b9e44be4ed25746639d3ab1", "generator_version": "3.0"}
{"id": "v3_test_id_00003555", "prompt": "Compute: 9 * ((-136 + (-803)) / 828)", "solution_steps": ["Add: -136 + (-803) = -939", "Divide: -939 / 828 = -313/276", "Multiply: 9 * (-313/276) = -939/92"], "final_answer": "-939/92", "answer_type": "rational", "kind": "expression", "math_text": "9 * ((-136 + (-803)) / 828)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -136, \"c\": -803, \"d\": 828}", "seed": "13548099057509173555", "semantic_fingerprint": "sha256:0ca211a539a4ad1e8ae7de3d1e2750dd3d8c9aa901b701d2977e97ba93e10cfa", "generator_version": "3.0"}
{"id": "v3_test_id_00003556", "prompt": "Calculate: 843 + 2 - (-1)", "solution_steps": ["Add: 843 + 2 = 845", "Subtract: 845 - (-1) = 846"], "final_answer": "846", "answer_type": "integer", "kind": "expression", "math_text": "843 + 2 - (-1)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 843, \"b\": 2, \"c\": -1}", "seed": "3420134317572226367", "semantic_fingerprint": "sha256:81fd561935fdc2b779dfa242673680729e1fe9d6d8117899fa85075b61adf1d4", "generator_version": "3.0"}
{"id": "v3_test_id_00003557", "prompt": "What value of x satisfies -8x + 22 = -2(x + 3) + 70?", "solution_steps": ["Expand: -8x + 22 = -2x - 6 + 70", "Combine constants: -8x + 22 = -2x + 64", "Add 2x to both sides: -6x + 22 = 64", "Subtract 22 from both sides: -6x = 42", "Divide both sides by -6: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x + 22 = -2(x + 3) + 70", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 22, \"c\": -2, \"d\": 3, \"f\": 70, \"x\": -7}", "seed": "5300334858717928461", "semantic_fingerprint": "sha256:0f8ef382d01086428ac1f19f5a636248e21adc2eee1e007495b9ebb2bc4d822d", "generator_version": "3.0"}
{"id": "v3_test_id_00003558", "prompt": "Compute: 29 / (4 / (-2))", "solution_steps": ["Divide: 4 / (-2) = -2", "Divide: 29 / (-2) = -29/2"], "final_answer": "-29/2", "answer_type": "rational", "kind": "expression", "math_text": "29 / (4 / (-2))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 4, \"c\": -2}", "seed": "17994962687387872371", "semantic_fingerprint": "sha256:8a4bfd7c2236ffb9928113181c1b8703848b67916f76ac7f3f2add54d0770854", "generator_version": "3.0"}
{"id": "v3_test_id_00003559", "prompt": "Solve the equation -4x + 672 = 676 for x.", "solution_steps": ["Subtract 672 from both sides: -4x = 4", "Divide both sides by -4: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x + 672 = 676", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 672, \"d\": 676, \"x\": -1}", "seed": "16086569552669845282", "semantic_fingerprint": "sha256:953b955338e9f19fc3a82f7a96c0b3b6fe821b702153c1a0e3554b29a257858e", "generator_version": "3.0"}
{"id": "v3_test_id_00003560", "prompt": "What value of x satisfies x + 35 = 10(x - 32) + 175?", "solution_steps": ["Expand: x + 35 = 10x - 320 + 175", "Combine constants: x + 35 = 10x - 145", "Subtract 10x from both sides: -9x + 35 = -145", "Subtract 35 from both sides: -9x = -180", "Divide both sides by -9: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 35 = 10(x - 32) + 175", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": 10, \"c\": 32, \"e\": 175, \"x\": 20}", "seed": "13049398084029583250", "semantic_fingerprint": "sha256:3cbed3f28160d817802e0a1b6e781034586c4237d41ee91fe763bf252da6b7a3", "generator_version": "3.0"}
{"id": "v3_test_id_00003561", "prompt": "Calculate: -8 + 2", "solution_steps": ["Add: -8 + 2 = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "expression", "math_text": "-8 + 2", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 2}", "seed": "12589573348762066575", "semantic_fingerprint": "sha256:62c8cbe558cbf05e9c1c6507395e82bd2c763770968e033e1f3ce709c3f11ddd", "generator_version": "3.0"}
{"id": "v3_test_id_00003562", "prompt": "Calculate: -68 - (-63) - 7 - (-857) + (-560) - (-4)", "solution_steps": ["Subtract: -68 - (-63) = -5", "Subtract: -5 - 7 = -12", "Subtract: -12 - (-857) = 845", "Add: 845 + (-560) = 285", "Subtract: 285 - (-4) = 289"], "final_answer": "289", "answer_type": "integer", "kind": "expression", "math_text": "-68 - (-63) - 7 - (-857) + (-560) - (-4)", "variable": null, "family": "expression_5op", "shape": "(- (+ (- (- (- n n) n) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": -63, \"c\": 7, \"d\": -857, \"e\": -560, \"f\": -4}", "seed": "14058727536058898418", "semantic_fingerprint": "sha256:01d3d3436dd9a6e8701245af47371cebfd205095026f3db30fe7329b9ca3e62e", "generator_version": "3.0"}
{"id": "v3_test_id_00003563", "prompt": "Solve for x: x - 8 = 4(x + 1) + 24", "solution_steps": ["Expand: x - 8 = 4x + 4 + 24", "Combine constants: x - 8 = 4x + 28", "Subtract 4x from both sides: -3x - 8 = 28", "Add 8 to both sides: -3x = 36", "Divide both sides by -3: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8 = 4(x + 1) + 24", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": 1, \"e\": 24, \"x\": -12}", "seed": "11624407355627008833", "semantic_fingerprint": "sha256:eac813cbf9860469475fc9348c968a3b15747064b694df4658a49fc8e97e8d9f", "generator_version": "3.0"}
{"id": "v3_test_id_00003564", "prompt": "Evaluate: -639 / (-417 + (362 + 621)) - (-68)", "solution_steps": ["Add: 362 + 621 = 983", "Add: -417 + 983 = 566", "Divide: -639 / 566 = -639/566", "Subtract: -639/566 - (-68) = 37849/566"], "final_answer": "37849/566", "answer_type": "rational", "kind": "expression", "math_text": "-639 / (-417 + (362 + 621)) - (-68)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (+ n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -639, \"b\": -417, \"c\": 362, \"d\": 621, \"e\": -68}", "seed": "12626064750843490156", "semantic_fingerprint": "sha256:67454799ef8cb19d0291167eb7cd9b442bc361a44b501c4da523a5695fecae79", "generator_version": "3.0"}
{"id": "v3_test_id_00003565", "prompt": "What is (597 + 336) * (7 * (-80))?", "solution_steps": ["Add: 597 + 336 = 933", "Multiply: 7 * (-80) = -560", "Multiply: 933 * (-560) = -522480"], "final_answer": "-522480", "answer_type": "integer", "kind": "expression", "math_text": "(597 + 336) * (7 * (-80))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 597, \"b\": 336, \"c\": 7, \"d\": -80}", "seed": "9458946728093261490", "semantic_fingerprint": "sha256:10fecab3f9154ca139d6184e4153b35f05d880c6d2a16e9305730be103454167", "generator_version": "3.0"}
{"id": "v3_test_id_00003566", "prompt": "Evaluate: 8 * (-79 + (-8))", "solution_steps": ["Add: -79 + (-8) = -87", "Multiply: 8 * (-87) = -696"], "final_answer": "-696", "answer_type": "integer", "kind": "expression", "math_text": "8 * (-79 + (-8))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -79, \"c\": -8}", "seed": "13715169514726123251", "semantic_fingerprint": "sha256:8085bc14df130abffb05979e8edc8ae2705355cdaec62a07c7b8b7d8de6fce89", "generator_version": "3.0"}
{"id": "v3_test_id_00003567", "prompt": "What is 42 * (-2) / (-6 * ((39 + (-669)) * 68))?", "solution_steps": ["Multiply: 42 * (-2) = -84", "Add: 39 + (-669) = -630", "Multiply: -630 * 68 = -42840", "Multiply: -6 * (-42840) = 257040", "Divide: -84 / 257040 = -1/3060"], "final_answer": "-1/3060", "answer_type": "rational", "kind": "expression", "math_text": "42 * (-2) / (-6 * ((39 + (-669)) * 68))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (* n (* (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": -2, \"c\": -6, \"d\": 39, \"e\": -669, \"f\": 68}", "seed": "4962025850079866866", "semantic_fingerprint": "sha256:b7cbbbeab39412a294524452b0f42a124fa17a8ec20c1c1cb2900774e96685b1", "generator_version": "3.0"}
{"id": "v3_test_id_00003568", "prompt": "Find x: x + 357 = -11(x - 39)", "solution_steps": ["Expand: x + 357 = -11x + 429", "Add 11x to both sides: 12x + 357 = 429", "Subtract 357 from both sides: 12x = 72", "Divide both sides by 12: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 357 = -11(x - 39)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 39, \"d\": 357, \"x\": 6}", "seed": "17520086578044416666", "semantic_fingerprint": "sha256:6f48cb57a7f90fd1aab0e1a5540590b17f477d8623391c16d0129940713e6870", "generator_version": "3.0"}
{"id": "v3_test_id_00003569", "prompt": "Compute: (-190 + 54) * (-98)", "solution_steps": ["Add: -190 + 54 = -136", "Multiply: -136 * (-98) = 13328"], "final_answer": "13328", "answer_type": "integer", "kind": "expression", "math_text": "(-190 + 54) * (-98)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -190, \"b\": 54, \"c\": -98}", "seed": "13228549690902151070", "semantic_fingerprint": "sha256:f86004b150f6d5a73ef62bd7daa793f5cfdcc758c773a58d5ce9f63545dff1e8", "generator_version": "3.0"}
{"id": "v3_test_id_00003570", "prompt": "Solve the equation x - 109 = 8x - 109 for x.", "solution_steps": ["Subtract 8x from both sides: -7x - 109 = -109", "Add 109 to both sides: -7x = 0", "Divide both sides by -7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 109 = 8x - 109", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 109, \"b\": 8, \"d\": -109, \"x\": 0}", "seed": "18358602012265962363", "semantic_fingerprint": "sha256:01c084848d8fc243b3b30025a7802dff4f500fee43c2a3f749bd9d84f632dd47", "generator_version": "3.0"}
{"id": "v3_test_id_00003571", "prompt": "What is (-95 + (-9)) / (-85 - 75)?", "solution_steps": ["Add: -95 + (-9) = -104", "Subtract: -85 - 75 = -160", "Divide: -104 / (-160) = 13/20"], "final_answer": "13/20", "answer_type": "rational", "kind": "expression", "math_text": "(-95 + (-9)) / (-85 - 75)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": -9, \"c\": -85, \"d\": 75}", "seed": "7573764409944511923", "semantic_fingerprint": "sha256:579c1aa778304ee85f7f790f266b4b0f83f7bbb409b6e6a9209a79b52e5d52b1", "generator_version": "3.0"}
{"id": "v3_test_id_00003572", "prompt": "Solve for x: -9(x - 7) + 440 = 575", "solution_steps": ["Expand: -9x + 63 + 440 = 575", "Combine constants: -9x + 503 = 575", "Subtract 503 from both sides: -9x = 72", "Divide both sides by -9: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 7) + 440 = 575", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 7, \"c\": 440, \"e\": 575, \"x\": -8}", "seed": "14523593121567538790", "semantic_fingerprint": "sha256:ac49b15227453fe67e17fad7626819b760ff3ac028fe1b8d68ef653ad257e345", "generator_version": "3.0"}
{"id": "v3_test_id_00003573", "prompt": "What is 81 * (2 * (2 * (-4)) / (-45))?", "solution_steps": ["Multiply: 2 * (-4) = -8", "Multiply: 2 * (-8) = -16", "Divide: -16 / (-45) = 16/45", "Multiply: 81 * (16/45) = 144/5"], "final_answer": "144/5", "answer_type": "rational", "kind": "expression", "math_text": "81 * (2 * (2 * (-4)) / (-45))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (* n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": 2, \"c\": 2, \"d\": -4, \"e\": -45}", "seed": "8576749578765210786", "semantic_fingerprint": "sha256:2e2f8bc8370e2b12edee6790077d0dca9d9dbffbba8127ca3ef7d8a65adf7757", "generator_version": "3.0"}
{"id": "v3_test_id_00003574", "prompt": "Calculate: -6 / (-6)", "solution_steps": ["Divide: -6 / (-6) = 1"], "final_answer": "1", "answer_type": "integer", "kind": "expression", "math_text": "-6 / (-6)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -6}", "seed": "7493497420428848946", "semantic_fingerprint": "sha256:51576b5884967df0496aebbda61acb3c96b674195dc27194164d9bfeb8a02a34", "generator_version": "3.0"}
{"id": "v3_test_id_00003575", "prompt": "Compute: (-835 - (-6 + (-51))) / (-45)", "solution_steps": ["Add: -6 + (-51) = -57", "Subtract: -835 - (-57) = -778", "Divide: -778 / (-45) = 778/45"], "final_answer": "778/45", "answer_type": "rational", "kind": "expression", "math_text": "(-835 - (-6 + (-51))) / (-45)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -835, \"b\": -6, \"c\": -51, \"d\": -45}", "seed": "17059291482727478901", "semantic_fingerprint": "sha256:2b43f969dd522630a94052d6169c92db0f8e9b1c59d2ee919e17f4435b1672de", "generator_version": "3.0"}
{"id": "v3_test_id_00003576", "prompt": "Calculate: (-98 - 71) * (-97)", "solution_steps": ["Subtract: -98 - 71 = -169", "Multiply: -169 * (-97) = 16393"], "final_answer": "16393", "answer_type": "integer", "kind": "expression", "math_text": "(-98 - 71) * (-97)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -98, \"b\": 71, \"c\": -97}", "seed": "11114730598647714237", "semantic_fingerprint": "sha256:a6ebd7c8a6b4d41084d908bd16129a0d6e224e058cc036fbc44f547d91b7312d", "generator_version": "3.0"}
{"id": "v3_test_id_00003577", "prompt": "Evaluate: 2 / (-5 + 52 + 2)", "solution_steps": ["Add: -5 + 52 = 47", "Add: 47 + 2 = 49", "Divide: 2 / 49 = 2/49"], "final_answer": "2/49", "answer_type": "rational", "kind": "expression", "math_text": "2 / (-5 + 52 + 2)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -5, \"c\": 52, \"d\": 2}", "seed": "3375475699857811330", "semantic_fingerprint": "sha256:c5a0ebecf6fa9bd10b1d9309453f159c0d68c9e436c87e1881498244358fbe2c", "generator_version": "3.0"}
{"id": "v3_test_id_00003578", "prompt": "Compute: -1 - 29 + 2 * 40", "solution_steps": ["Subtract: -1 - 29 = -30", "Multiply: 2 * 40 = 80", "Add: -30 + 80 = 50"], "final_answer": "50", "answer_type": "integer", "kind": "expression", "math_text": "-1 - 29 + 2 * 40", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 29, \"c\": 2, \"d\": 40}", "seed": "16756341856776688330", "semantic_fingerprint": "sha256:d54f0940e870aec609076ef4454d5d0f3f042ac78c0072fec1f59e2dd65ab5ab", "generator_version": "3.0"}
{"id": "v3_test_id_00003579", "prompt": "Find x: x - 40 = 3(x - 80)", "solution_steps": ["Expand: x - 40 = 3x - 240", "Subtract 3x from both sides: -2x - 40 = -240", "Add 40 to both sides: -2x = -200", "Divide both sides by -2: x = 100"], "final_answer": "100", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 40 = 3(x - 80)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": 3, \"c\": 80}", "seed": "225889330709735325", "semantic_fingerprint": "sha256:3faefcb8fab6948f784121c9841dff4ae531f0372e01b33498bbcfb6eb87394a", "generator_version": "3.0"}
{"id": "v3_test_id_00003580", "prompt": "What is (-426 - 9) / (972 + (-732)) - 15?", "solution_steps": ["Subtract: -426 - 9 = -435", "Add: 972 + (-732) = 240", "Divide: -435 / 240 = -29/16", "Subtract: -29/16 - 15 = -269/16"], "final_answer": "-269/16", "answer_type": "rational", "kind": "expression", "math_text": "(-426 - 9) / (972 + (-732)) - 15", "variable": null, "family": "expression_4op", "shape": "(- (/ (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -426, \"b\": 9, \"c\": 972, \"d\": -732, \"e\": 15}", "seed": "16569071354268330401", "semantic_fingerprint": "sha256:640b71d9d248bae99c1854f8fdba60ee24b802c8cc5addd5f43f97713f85c357", "generator_version": "3.0"}
{"id": "v3_test_id_00003581", "prompt": "What value of x satisfies 2(x - 148) = 3(x + 9)?", "solution_steps": ["Expand: 2x - 296 = 3(x + 9)", "Expand: 2x - 296 = 3x + 27", "Subtract 3x from both sides: -x - 296 = 27", "Add 296 to both sides: -x = 323", "Divide both sides by -1: x = -323"], "final_answer": "-323", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 148) = 3(x + 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 148, \"c\": 3, \"d\": 9}", "seed": "17209998551057464795", "semantic_fingerprint": "sha256:c2df3cd8312df36a76ddcd45ee4a9247864f118c184e5df3c4eef92e1e19f472", "generator_version": "3.0"}
{"id": "v3_test_id_00003582", "prompt": "Calculate: 1 + (-35) - 3", "solution_steps": ["Add: 1 + (-35) = -34", "Subtract: -34 - 3 = -37"], "final_answer": "-37", "answer_type": "integer", "kind": "expression", "math_text": "1 + (-35) - 3", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -35, \"c\": 3}", "seed": "17543676335605360574", "semantic_fingerprint": "sha256:b92b5d6286a5f8813674a9e1db709a7b4458e82fa776edafbdadbac666bd0813", "generator_version": "3.0"}
{"id": "v3_test_id_00003583", "prompt": "Solve for x: x = 6(x + 11)", "solution_steps": ["Expand: x = 6x + 66", "Subtract 6x from both sides: -5x = 66", "Divide both sides by -5: x = -66/5"], "final_answer": "-66/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 6(x + 11)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 11}", "seed": "10753024629833000393", "semantic_fingerprint": "sha256:fffd54e56befa8a9737e57e4c6b718fe2ff4c17951b5a5de042087e922b786ad", "generator_version": "3.0"}
{"id": "v3_test_id_00003584", "prompt": "What is 93 + (8 - (247 - (-582)))?", "solution_steps": ["Subtract: 247 - (-582) = 829", "Subtract: 8 - 829 = -821", "Add: 93 + (-821) = -728"], "final_answer": "-728", "answer_type": "integer", "kind": "expression", "math_text": "93 + (8 - (247 - (-582)))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": 8, \"c\": 247, \"d\": -582}", "seed": "3400631585607962973", "semantic_fingerprint": "sha256:c091af1e192e451c8fcf1d8675045c3fdc832f33b583e0d2e72e7677c6f8665e", "generator_version": "3.0"}
{"id": "v3_test_id_00003585", "prompt": "Find x: -10x + 11 = x", "solution_steps": ["Subtract x from both sides: -11x + 11 = 0", "Subtract 11 from both sides: -11x = -11", "Divide both sides by -11: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x + 11 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"c\": 11, \"x\": 1}", "seed": "10009729219711733143", "semantic_fingerprint": "sha256:f42d3151b0fb9a2f2bb7ee1376cf112ef694edf7f61c4169857f99a5f38f5d11", "generator_version": "3.0"}
{"id": "v3_test_id_00003586", "prompt": "What value of x satisfies 9x = 27?", "solution_steps": ["Divide both sides by 9: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 27", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"c\": 27, \"x\": 3}", "seed": "8411828222089896229", "semantic_fingerprint": "sha256:87e4931e15ad1f0ea01e6af3213c278716dab4555179caac9fbeaa5b64dc3b1f", "generator_version": "3.0"}
{"id": "v3_test_id_00003587", "prompt": "Calculate: -9 * (-1) + 29 / (-2 / (-31))", "solution_steps": ["Multiply: -9 * (-1) = 9", "Divide: -2 / (-31) = 2/31", "Divide: 29 / (2/31) = 899/2", "Add: 9 + 899/2 = 917/2"], "final_answer": "917/2", "answer_type": "rational", "kind": "expression", "math_text": "-9 * (-1) + 29 / (-2 / (-31))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (/ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -1, \"c\": 29, \"d\": -2, \"e\": -31}", "seed": "797427070209584942", "semantic_fingerprint": "sha256:acd17e3d92cf08bbf54744d0e817024a679b7f39354f4fec447891d5bdc7ee34", "generator_version": "3.0"}
{"id": "v3_test_id_00003588", "prompt": "Evaluate: 16 * 7 / (24 / (-135)) * (-266)", "solution_steps": ["Multiply: 16 * 7 = 112", "Divide: 24 / (-135) = -8/45", "Divide: 112 / (-8/45) = -630", "Multiply: -630 * (-266) = 167580"], "final_answer": "167580", "answer_type": "integer", "kind": "expression", "math_text": "16 * 7 / (24 / (-135)) * (-266)", "variable": null, "family": "expression_4op", "shape": "(* (/ (* n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": 7, \"c\": 24, \"d\": -135, \"e\": -266}", "seed": "17444942832363420213", "semantic_fingerprint": "sha256:b833a8b08dbd141af193295cfb6b2d878b344c404e6f2882f2eb2df49b575d77", "generator_version": "3.0"}
{"id": "v3_test_id_00003589", "prompt": "Solve the equation x + 29 = 12x + 139 for x.", "solution_steps": ["Subtract 12x from both sides: -11x + 29 = 139", "Subtract 29 from both sides: -11x = 110", "Divide both sides by -11: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 29 = 12x + 139", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 12, \"d\": 139, \"x\": -10}", "seed": "11621499709971949480", "semantic_fingerprint": "sha256:c151c8708374a6ed8bc337e9d3f6b9d7a484a2673da027efee5db7b6ceedec2f", "generator_version": "3.0"}
{"id": "v3_test_id_00003590", "prompt": "Solve for x: 4(x + 355) + 509 = 8(x - 864) + 5", "solution_steps": ["Expand: 4x + 1420 + 509 = 8(x - 864) + 5", "Expand: 4x + 1420 + 509 = 8x - 6912 + 5", "Combine constants: 4x + 1929 = 8x - 6912 + 5", "Combine constants: 4x + 1929 = 8x - 6907", "Subtract 8x from both sides: -4x + 1929 = -6907", "Subtract 1929 from both sides: -4x = -8836", "Divide both sides by -4: x = 2209"], "final_answer": "2209", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 355) + 509 = 8(x - 864) + 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 355, \"c\": 509, \"d\": 8, \"e\": 864, \"f\": 5}", "seed": "17333886215297020190", "semantic_fingerprint": "sha256:a435327baf6c038cb56734a5b3318a48063e67c70601c6a7f18531fda8fa325c", "generator_version": "3.0"}
{"id": "v3_test_id_00003591", "prompt": "Evaluate: -67 - 4 * 96", "solution_steps": ["Multiply: 4 * 96 = 384", "Subtract: -67 - 384 = -451"], "final_answer": "-451", "answer_type": "integer", "kind": "expression", "math_text": "-67 - 4 * 96", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": 4, \"c\": 96}", "seed": "13830395523478951891", "semantic_fingerprint": "sha256:24081559e68bb0bf88789fc47ab11975665bdb2de6f351943fdcfa57a73b8394", "generator_version": "3.0"}
{"id": "v3_test_id_00003592", "prompt": "What value of x satisfies x = 3(x - 91) + 287?", "solution_steps": ["Expand: x = 3x - 273 + 287", "Combine constants: x = 3x + 14", "Subtract 3x from both sides: -2x = 14", "Divide both sides by -2: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 3(x - 91) + 287", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 91, \"d\": 287, \"x\": -7}", "seed": "16599818482259906764", "semantic_fingerprint": "sha256:ddd36e6ec7e90f6bfdc08e569487779430077faee57bb9e6a70362246355ee6c", "generator_version": "3.0"}
{"id": "v3_test_id_00003593", "prompt": "Compute: 78 / (-46) / (-1)", "solution_steps": ["Divide: 78 / (-46) = -39/23", "Divide: (-39/23) / (-1) = 39/23"], "final_answer": "39/23", "answer_type": "rational", "kind": "expression", "math_text": "78 / (-46) / (-1)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": -46, \"c\": -1}", "seed": "1339303151662563310", "semantic_fingerprint": "sha256:0123cdaf7734fc01096d337aa01c1f36cad030e6e75f9be7439664e613b1736c", "generator_version": "3.0"}
{"id": "v3_test_id_00003594", "prompt": "What is 6 / (-86)?", "solution_steps": ["Divide: 6 / (-86) = -3/43"], "final_answer": "-3/43", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-86)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -86}", "seed": "12708235830510886068", "semantic_fingerprint": "sha256:529d82f8d183328e27569b46129f6ce33a7fea7295a857eb327a29b0273dd7c4", "generator_version": "3.0"}
{"id": "v3_test_id_00003595", "prompt": "Evaluate: -73 - (-726) + (-4 * 3 - 5)", "solution_steps": ["Subtract: -73 - (-726) = 653", "Multiply: -4 * 3 = -12", "Subtract: -12 - 5 = -17", "Add: 653 + (-17) = 636"], "final_answer": "636", "answer_type": "integer", "kind": "expression", "math_text": "-73 - (-726) + (-4 * 3 - 5)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (- (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": -726, \"c\": -4, \"d\": 3, \"e\": 5}", "seed": "13317022926490782224", "semantic_fingerprint": "sha256:5afa416a7d09408b5d7dcdbaa2bcb547a72e2dfc7318c56f3e37b671c97931c1", "generator_version": "3.0"}
{"id": "v3_test_id_00003596", "prompt": "What is 98 / (-372) - (-73) + 85?", "solution_steps": ["Divide: 98 / (-372) = -49/186", "Subtract: -49/186 - (-73) = 13529/186", "Add: 13529/186 + 85 = 29339/186"], "final_answer": "29339/186", "answer_type": "rational", "kind": "expression", "math_text": "98 / (-372) - (-73) + 85", "variable": null, "family": "expression_3op", "shape": "(+ (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": -372, \"c\": -73, \"d\": 85}", "seed": "10054250771572341656", "semantic_fingerprint": "sha256:9eede65402e35f1bdbc1139cae8eb93bacbd115d3d258a893995ba69fe045296", "generator_version": "3.0"}
{"id": "v3_test_id_00003597", "prompt": "Evaluate: -411 - 46 - (-39)", "solution_steps": ["Subtract: -411 - 46 = -457", "Subtract: -457 - (-39) = -418"], "final_answer": "-418", "answer_type": "integer", "kind": "expression", "math_text": "-411 - 46 - (-39)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -411, \"b\": 46, \"c\": -39}", "seed": "3174415630746424598", "semantic_fingerprint": "sha256:a272d28ec3c79e6005318026adb1aa51d47b5727a48ce01f1244e084ded3cf00", "generator_version": "3.0"}
{"id": "v3_test_id_00003598", "prompt": "What is 52 - 97 / (-69)?", "solution_steps": ["Divide: 97 / (-69) = -97/69", "Subtract: 52 - (-97/69) = 3685/69"], "final_answer": "3685/69", "answer_type": "rational", "kind": "expression", "math_text": "52 - 97 / (-69)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 52, \"b\": 97, \"c\": -69}", "seed": "16616441299704974870", "semantic_fingerprint": "sha256:923bdf2ea661282b6503fc5d4e3866f18d6615b4aa4472d04bba4034483e2e9f", "generator_version": "3.0"}
{"id": "v3_test_id_00003599", "prompt": "Evaluate: -236 * 46 - (-389)", "solution_steps": ["Multiply: -236 * 46 = -10856", "Subtract: -10856 - (-389) = -10467"], "final_answer": "-10467", "answer_type": "integer", "kind": "expression", "math_text": "-236 * 46 - (-389)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -236, \"b\": 46, \"c\": -389}", "seed": "14753273791288994596", "semantic_fingerprint": "sha256:e95e033c97bc1306a16b6e768494fb03b77dee1f90407aed7b74ed1b15cb6bdd", "generator_version": "3.0"}
{"id": "v3_test_id_00003600", "prompt": "What value of x satisfies x = 7x + 301?", "solution_steps": ["Subtract 7x from both sides: -6x = 301", "Divide both sides by -6: x = -301/6"], "final_answer": "-301/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 7x + 301", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 301}", "seed": "17011227710853223570", "semantic_fingerprint": "sha256:e2655239a542b4b3f7ac3b69e169d970976f0022372cffc743d6fbc81fe97b59", "generator_version": "3.0"}
{"id": "v3_test_id_00003601", "prompt": "Calculate: 112 / (-496)", "solution_steps": ["Divide: 112 / (-496) = -7/31"], "final_answer": "-7/31", "answer_type": "rational", "kind": "expression", "math_text": "112 / (-496)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 112, \"b\": -496}", "seed": "15841898343040724002", "semantic_fingerprint": "sha256:1cb8f91e3a4e314773a058bff86b90a5517ff63867b58a4f48ba53fbb1bb8288", "generator_version": "3.0"}
{"id": "v3_test_id_00003602", "prompt": "What is -4 * (-4) - (3 - 7 * 178)?", "solution_steps": ["Multiply: -4 * (-4) = 16", "Multiply: 7 * 178 = 1246", "Subtract: 3 - 1246 = -1243", "Subtract: 16 - (-1243) = 1259"], "final_answer": "1259", "answer_type": "integer", "kind": "expression", "math_text": "-4 * (-4) - (3 - 7 * 178)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -4, \"c\": 3, \"d\": 7, \"e\": 178}", "seed": "9133130095256483076", "semantic_fingerprint": "sha256:f761ca79dfca009f7cf2860f7178c5a8bb8208e57d27d4dab7978b883b7062ff", "generator_version": "3.0"}
{"id": "v3_test_id_00003603", "prompt": "Calculate: -8 / 6 / (65 / (-79 - 8))", "solution_steps": ["Divide: -8 / 6 = -4/3", "Subtract: -79 - 8 = -87", "Divide: 65 / (-87) = -65/87", "Divide: (-4/3) / (-65/87) = 116/65"], "final_answer": "116/65", "answer_type": "rational", "kind": "expression", "math_text": "-8 / 6 / (65 / (-79 - 8))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 6, \"c\": 65, \"d\": -79, \"e\": 8}", "seed": "15605390353878821847", "semantic_fingerprint": "sha256:a54ca2ce8a1bb6e75442c8a2b5ddcd2ef057cef2f6fa7ab2d2a018e590c19c43", "generator_version": "3.0"}
{"id": "v3_test_id_00003604", "prompt": "Evaluate: 96 * (-43 * (-1))", "solution_steps": ["Multiply: -43 * (-1) = 43", "Multiply: 96 * 43 = 4128"], "final_answer": "4128", "answer_type": "integer", "kind": "expression", "math_text": "96 * (-43 * (-1))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": -43, \"c\": -1}", "seed": "16447590974736643494", "semantic_fingerprint": "sha256:ee1093bdee031347095b829e5e6b8dca2fed696ceb4884fcba2cb291dda44522", "generator_version": "3.0"}
{"id": "v3_test_id_00003605", "prompt": "What value of x satisfies 3(x - 5) - 5 = 2x?", "solution_steps": ["Expand: 3x - 15 - 5 = 2x", "Combine constants: 3x - 20 = 2x", "Subtract 2x from both sides: x - 20 = 0", "Add 20 to both sides: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 5) - 5 = 2x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 5, \"c\": 2, \"e\": -5, \"x\": 20}", "seed": "8834492889504274532", "semantic_fingerprint": "sha256:da86d4a80e8f57a170a6119fffb5b8e08dae55e3f3556da01de47b125b0e30bf", "generator_version": "3.0"}
{"id": "v3_test_id_00003606", "prompt": "What is -8 - 138?", "solution_steps": ["Subtract: -8 - 138 = -146"], "final_answer": "-146", "answer_type": "integer", "kind": "expression", "math_text": "-8 - 138", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 138}", "seed": "146342922626646144", "semantic_fingerprint": "sha256:c73ca3da93ff96f05de0c1632340e476a3cb8807181810152d056fab03a01886", "generator_version": "3.0"}
{"id": "v3_test_id_00003607", "prompt": "Solve the equation 8(x + 1) + 239 = -95 for x.", "solution_steps": ["Expand: 8x + 8 + 239 = -95", "Combine constants: 8x + 247 = -95", "Subtract 247 from both sides: 8x = -342", "Divide both sides by 8: x = -171/4"], "final_answer": "-171/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 1) + 239 = -95", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1, \"c\": 239, \"d\": -95}", "seed": "11229445224655552795", "semantic_fingerprint": "sha256:9f48c6756d267293ec0d28c295d137bb78a30b95071a2c59e2098a726c3be0b6", "generator_version": "3.0"}
{"id": "v3_test_id_00003608", "prompt": "Compute: (9 + 80 + (-62) + 0) * 5", "solution_steps": ["Add: 9 + 80 = 89", "Add: 89 + (-62) = 27", "Add: 27 + 0 = 27", "Multiply: 27 * 5 = 135"], "final_answer": "135", "answer_type": "integer", "kind": "expression", "math_text": "(9 + 80 + (-62) + 0) * 5", "variable": null, "family": "expression_4op", "shape": "(* (+ (+ (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 80, \"c\": -62, \"d\": 0, \"e\": 5}", "seed": "16623898158319313498", "semantic_fingerprint": "sha256:28e44e7cba36fa3a0bdca1037a2bd905fdce2d62d2fdecb5e2ac7e1741d489d1", "generator_version": "3.0"}
{"id": "v3_test_id_00003609", "prompt": "Solve for x: -3x + 68 = 95", "solution_steps": ["Subtract 68 from both sides: -3x = 27", "Divide both sides by -3: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x + 68 = 95", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 68, \"d\": 95, \"x\": -9}", "seed": "16677804779328848115", "semantic_fingerprint": "sha256:55b31c657c2967aba92bad181e3c43e546c646c47dd8efb6162206a0cb4e0f2b", "generator_version": "3.0"}
{"id": "v3_test_id_00003610", "prompt": "Evaluate: -35 - (-91 + (-618)) * 51", "solution_steps": ["Add: -91 + (-618) = -709", "Multiply: -709 * 51 = -36159", "Subtract: -35 - (-36159) = 36124"], "final_answer": "36124", "answer_type": "integer", "kind": "expression", "math_text": "-35 - (-91 + (-618)) * 51", "variable": null, "family": "expression_3op", "shape": "(- n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": -91, \"c\": -618, \"d\": 51}", "seed": "6371077827413425032", "semantic_fingerprint": "sha256:68c8513be0d073659031ab198cae08f52e4c5a5be35ce146c84e4b3ed2a2f6c6", "generator_version": "3.0"}
{"id": "v3_test_id_00003611", "prompt": "Solve the equation 11x + 99 = x + 39 for x.", "solution_steps": ["Subtract x from both sides: 10x + 99 = 39", "Subtract 99 from both sides: 10x = -60", "Divide both sides by 10: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 99 = x + 39", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 99, \"d\": 39, \"x\": -6}", "seed": "2844180100976067622", "semantic_fingerprint": "sha256:3730187f5603e07678e2763386573d6b3a62c1b18a3f6d46a28e002ee55334e3", "generator_version": "3.0"}
{"id": "v3_test_id_00003612", "prompt": "Calculate: -3 / (7 * (-7 / (-7)))", "solution_steps": ["Divide: -7 / (-7) = 1", "Multiply: 7 * 1 = 7", "Divide: -3 / 7 = -3/7"], "final_answer": "-3/7", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (7 * (-7 / (-7)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 7, \"c\": -7, \"d\": -7}", "seed": "6768915665600360348", "semantic_fingerprint": "sha256:28b366b1f0e4ea208575769200aedbd661c8258c34c5f0365128f2062f2b9ca0", "generator_version": "3.0"}
{"id": "v3_test_id_00003613", "prompt": "Calculate: -7 - (-1) - (-461)", "solution_steps": ["Subtract: -7 - (-1) = -6", "Subtract: -6 - (-461) = 455"], "final_answer": "455", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (-1) - (-461)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -1, \"c\": -461}", "seed": "16984522189382886050", "semantic_fingerprint": "sha256:96580967f5bfa1e5680f0d0d0d4d2e19f0d7d03aa71ec87b91492f0de7f14586", "generator_version": "3.0"}
{"id": "v3_test_id_00003614", "prompt": "Find x: 7(x - 5) - 3 = x - 20", "solution_steps": ["Expand: 7x - 35 - 3 = x - 20", "Combine constants: 7x - 38 = x - 20", "Subtract x from both sides: 6x - 38 = -20", "Add 38 to both sides: 6x = 18", "Divide both sides by 6: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 5) - 3 = x - 20", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 3, \"e\": -20, \"x\": 3}", "seed": "12825488604650422373", "semantic_fingerprint": "sha256:99e2326d6de17b5183247685842f71df0a1aa9f20fe20c5279f069bb51da1787", "generator_version": "3.0"}
{"id": "v3_test_id_00003615", "prompt": "Solve for x: 3(x - 76) = x - 228", "solution_steps": ["Expand: 3x - 228 = x - 228", "Subtract x from both sides: 2x - 228 = -228", "Add 228 to both sides: 2x = 0", "Divide both sides by 2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 76) = x - 228", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 76, \"d\": -228, \"x\": 0}", "seed": "11741733615670550148", "semantic_fingerprint": "sha256:ccc6158ba30abdc41b17f388ff2df5123b5873ad055008deea004ce36897a0ca", "generator_version": "3.0"}
{"id": "v3_test_id_00003616", "prompt": "Evaluate: (-1 + 9 - 98) * (-5 - (-109))", "solution_steps": ["Add: -1 + 9 = 8", "Subtract: 8 - 98 = -90", "Subtract: -5 - (-109) = 104", "Multiply: -90 * 104 = -9360"], "final_answer": "-9360", "answer_type": "integer", "kind": "expression", "math_text": "(-1 + 9 - 98) * (-5 - (-109))", "variable": null, "family": "expression_4op", "shape": "(* (- (+ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 9, \"c\": 98, \"d\": -5, \"e\": -109}", "seed": "7630913675576636902", "semantic_fingerprint": "sha256:af80d393998f034a88420630e25de901e737e51ce13b1e8102c9ff60d3fd3a0d", "generator_version": "3.0"}
{"id": "v3_test_id_00003617", "prompt": "Compute: -21 - (-48) - (-9 - 84)", "solution_steps": ["Subtract: -21 - (-48) = 27", "Subtract: -9 - 84 = -93", "Subtract: 27 - (-93) = 120"], "final_answer": "120", "answer_type": "integer", "kind": "expression", "math_text": "-21 - (-48) - (-9 - 84)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": -48, \"c\": -9, \"d\": 84}", "seed": "9233151795538767742", "semantic_fingerprint": "sha256:33c9e3f7a478384336aea1695bd23f3d75367d4e8b43a70358aba2602cdce39f", "generator_version": "3.0"}
{"id": "v3_test_id_00003618", "prompt": "Compute: 681 / (-65) / (-55 + 66) * (-37 + 7)", "solution_steps": ["Divide: 681 / (-65) = -681/65", "Add: -55 + 66 = 11", "Divide: (-681/65) / 11 = -681/715", "Add: -37 + 7 = -30", "Multiply: (-681/715) * (-30) = 4086/143"], "final_answer": "4086/143", "answer_type": "rational", "kind": "expression", "math_text": "681 / (-65) / (-55 + 66) * (-37 + 7)", "variable": null, "family": "expression_5op", "shape": "(* (/ (/ n n) (+ n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 681, \"b\": -65, \"c\": -55, \"d\": 66, \"e\": -37, \"f\": 7}", "seed": "2664495500235587476", "semantic_fingerprint": "sha256:7aaccda9af140ad11b4bbf9d12239928f586a5b7cc1403059738f882f9471999", "generator_version": "3.0"}
{"id": "v3_test_id_00003619", "prompt": "Calculate: -6 / (-20 + (-841)) * (62 + (-72))", "solution_steps": ["Add: -20 + (-841) = -861", "Divide: -6 / (-861) = 2/287", "Add: 62 + (-72) = -10", "Multiply: (2/287) * (-10) = -20/287"], "final_answer": "-20/287", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-20 + (-841)) * (62 + (-72))", "variable": null, "family": "expression_4op", "shape": "(* (/ n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -20, \"c\": -841, \"d\": 62, \"e\": -72}", "seed": "12985627870481114786", "semantic_fingerprint": "sha256:8c6e88bb7a569d4c69b2e62ab52e3503abb8f961c8c0bb9724af3a60d65c05b1", "generator_version": "3.0"}
{"id": "v3_test_id_00003620", "prompt": "Calculate: 1 - (-50)", "solution_steps": ["Subtract: 1 - (-50) = 51"], "final_answer": "51", "answer_type": "integer", "kind": "expression", "math_text": "1 - (-50)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -50}", "seed": "5120462543378458498", "semantic_fingerprint": "sha256:d43d6fcab0a616c96a5754ce89323d0811147dde1b630c0a0cb278d400839bcc", "generator_version": "3.0"}
{"id": "v3_test_id_00003621", "prompt": "Find x: x = 12(x - 463)", "solution_steps": ["Expand: x = 12x - 5556", "Subtract 12x from both sides: -11x = -5556", "Divide both sides by -11: x = 5556/11"], "final_answer": "5556/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 12(x - 463)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 463}", "seed": "3281231025765070051", "semantic_fingerprint": "sha256:b07b2f9e68d8962df4945f9445fb513b531c039d9911d59825ca07c93e4ce8db", "generator_version": "3.0"}
{"id": "v3_test_id_00003622", "prompt": "What value of x satisfies 12x - 5 = x - 27?", "solution_steps": ["Subtract x from both sides: 11x - 5 = -27", "Add 5 to both sides: 11x = -22", "Divide both sides by 11: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 5 = x - 27", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"d\": -27, \"x\": -2}", "seed": "7796496044521766912", "semantic_fingerprint": "sha256:63a368bb46bad429d82cc173ac05c92cc5a7c86572b4196f1d440bf1c25481e1", "generator_version": "3.0"}
{"id": "v3_test_id_00003623", "prompt": "Solve the equation 8x + 646 = 3(x - 34) for x.", "solution_steps": ["Expand: 8x + 646 = 3x - 102", "Subtract 3x from both sides: 5x + 646 = -102", "Subtract 646 from both sides: 5x = -748", "Divide both sides by 5: x = -748/5"], "final_answer": "-748/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x + 646 = 3(x - 34)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 646, \"c\": 3, \"d\": 34}", "seed": "14696941540305523175", "semantic_fingerprint": "sha256:e47436dfc0613faad1460880fdb6d07397ce3c3bf057c95d25cf3f465d761ca1", "generator_version": "3.0"}
{"id": "v3_test_id_00003624", "prompt": "Compute: 4 + (-29) + (-5 + (-600)) * 2", "solution_steps": ["Add: 4 + (-29) = -25", "Add: -5 + (-600) = -605", "Multiply: -605 * 2 = -1210", "Add: -25 + (-1210) = -1235"], "final_answer": "-1235", "answer_type": "integer", "kind": "expression", "math_text": "4 + (-29) + (-5 + (-600)) * 2", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -29, \"c\": -5, \"d\": -600, \"e\": 2}", "seed": "8160051042417833631", "semantic_fingerprint": "sha256:de31aebdd4da5c726187b2a5ad1adaa1297a01dcfa8c591bf7efdcc9fad8e8c5", "generator_version": "3.0"}
{"id": "v3_test_id_00003625", "prompt": "Evaluate: 69 * (-182) - (-99) + (-983)", "solution_steps": ["Multiply: 69 * (-182) = -12558", "Subtract: -12558 - (-99) = -12459", "Add: -12459 + (-983) = -13442"], "final_answer": "-13442", "answer_type": "integer", "kind": "expression", "math_text": "69 * (-182) - (-99) + (-983)", "variable": null, "family": "expression_3op", "shape": "(+ (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": -182, \"c\": -99, \"d\": -983}", "seed": "791986026150429296", "semantic_fingerprint": "sha256:3413a1f088a391e6b140f98d45d2ab0babd50e85e4cbdb8715060af743ad64b6", "generator_version": "3.0"}
{"id": "v3_test_id_00003626", "prompt": "What is (65 * (-2) + 5) / (93 * (-5))?", "solution_steps": ["Multiply: 65 * (-2) = -130", "Add: -130 + 5 = -125", "Multiply: 93 * (-5) = -465", "Divide: -125 / (-465) = 25/93"], "final_answer": "25/93", "answer_type": "rational", "kind": "expression", "math_text": "(65 * (-2) + 5) / (93 * (-5))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -2, \"c\": 5, \"d\": 93, \"e\": -5}", "seed": "9420704778732114813", "semantic_fingerprint": "sha256:756b6ba2d07533e43095ab0f12f9ad7b0da612d34f6ce2cc646b8eb66fc676b7", "generator_version": "3.0"}
{"id": "v3_test_id_00003627", "prompt": "Calculate: (1 + (-7)) * (-8) + 64 / 3", "solution_steps": ["Add: 1 + (-7) = -6", "Multiply: -6 * (-8) = 48", "Divide: 64 / 3 = 64/3", "Add: 48 + 64/3 = 208/3"], "final_answer": "208/3", "answer_type": "rational", "kind": "expression", "math_text": "(1 + (-7)) * (-8) + 64 / 3", "variable": null, "family": "expression_4op", "shape": "(+ (* (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -7, \"c\": -8, \"d\": 64, \"e\": 3}", "seed": "1704944336392488830", "semantic_fingerprint": "sha256:d6ed24690557cd1fa0c385a82e0b0cfa1b953ce84322962e373927cf4ba48375", "generator_version": "3.0"}
{"id": "v3_test_id_00003628", "prompt": "Evaluate: 96 / (-44) - (-356 + (-3) + (-588) * 4)", "solution_steps": ["Divide: 96 / (-44) = -24/11", "Add: -356 + (-3) = -359", "Multiply: -588 * 4 = -2352", "Add: -359 + (-2352) = -2711", "Subtract: -24/11 - (-2711) = 29797/11"], "final_answer": "29797/11", "answer_type": "rational", "kind": "expression", "math_text": "96 / (-44) - (-356 + (-3) + (-588) * 4)", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (+ (+ n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": -44, \"c\": -356, \"d\": -3, \"e\": -588, \"f\": 4}", "seed": "3289589246288030994", "semantic_fingerprint": "sha256:5f5612176a0dd0e43cd6c7f26cef85eca8c1dbb22858a94d05b3bcd965b9bf3c", "generator_version": "3.0"}
{"id": "v3_test_id_00003629", "prompt": "Find x: -3(x + 8) + 141 = 11(x + 3)", "solution_steps": ["Expand: -3x - 24 + 141 = 11(x + 3)", "Expand: -3x - 24 + 141 = 11x + 33", "Combine constants: -3x + 117 = 11x + 33", "Subtract 11x from both sides: -14x + 117 = 33", "Subtract 117 from both sides: -14x = -84", "Divide both sides by -14: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 8) + 141 = 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\": 8, \"c\": 11, \"d\": 3, \"f\": 141, \"x\": 6}", "seed": "13053559955542278559", "semantic_fingerprint": "sha256:8fe5af791370e417f3ba1781ed16a626e596af3b5765003524023ead963a680e", "generator_version": "3.0"}
{"id": "v3_test_id_00003630", "prompt": "Find x: x = 6(x + 7) + 325", "solution_steps": ["Expand: x = 6x + 42 + 325", "Combine constants: x = 6x + 367", "Subtract 6x from both sides: -5x = 367", "Divide both sides by -5: x = -367/5"], "final_answer": "-367/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 6(x + 7) + 325", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 7, \"c\": 325}", "seed": "9240143535998870689", "semantic_fingerprint": "sha256:c61179d1ebf08246253d7f278da9e70b5a17c9f09342f65168cc6ab5702c4073", "generator_version": "3.0"}
{"id": "v3_test_id_00003631", "prompt": "What is -59 / (0 + 37)?", "solution_steps": ["Add: 0 + 37 = 37", "Divide: -59 / 37 = -59/37"], "final_answer": "-59/37", "answer_type": "rational", "kind": "expression", "math_text": "-59 / (0 + 37)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": 0, \"c\": 37}", "seed": "17247849103266342644", "semantic_fingerprint": "sha256:01d8e95a91ca206a60cdbe03f85eb34ff5c8f28b3c24aadea4d089c2cae90816", "generator_version": "3.0"}
{"id": "v3_test_id_00003632", "prompt": "Compute: -875 - (-26 - 98 - 1) * (-5 - 870)", "solution_steps": ["Subtract: -26 - 98 = -124", "Subtract: -124 - 1 = -125", "Subtract: -5 - 870 = -875", "Multiply: -125 * (-875) = 109375", "Subtract: -875 - 109375 = -110250"], "final_answer": "-110250", "answer_type": "integer", "kind": "expression", "math_text": "-875 - (-26 - 98 - 1) * (-5 - 870)", "variable": null, "family": "expression_5op", "shape": "(- n (* (- (- n n) n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -875, \"b\": -26, \"c\": 98, \"d\": 1, \"e\": -5, \"f\": 870}", "seed": "2930795763790656592", "semantic_fingerprint": "sha256:b72f17e55d9f31f622db029adde5bd011091faa9f1fd6fc5d5961ae4cbe985b6", "generator_version": "3.0"}
{"id": "v3_test_id_00003633", "prompt": "Compute: 592 - 28 / (-6)", "solution_steps": ["Divide: 28 / (-6) = -14/3", "Subtract: 592 - (-14/3) = 1790/3"], "final_answer": "1790/3", "answer_type": "rational", "kind": "expression", "math_text": "592 - 28 / (-6)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 592, \"b\": 28, \"c\": -6}", "seed": "6646099767866368351", "semantic_fingerprint": "sha256:16b792d4140468614a741578faf67afe27194d83fd1f64689c7d75a9e31697f4", "generator_version": "3.0"}
{"id": "v3_test_id_00003634", "prompt": "What value of x satisfies x + 42 = 8(x - 3) + 192?", "solution_steps": ["Expand: x + 42 = 8x - 24 + 192", "Combine constants: x + 42 = 8x + 168", "Subtract 8x from both sides: -7x + 42 = 168", "Subtract 42 from both sides: -7x = 126", "Divide both sides by -7: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 42 = 8(x - 3) + 192", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": 8, \"c\": 3, \"e\": 192, \"x\": -18}", "seed": "11830521862986325425", "semantic_fingerprint": "sha256:50474e0474e67573a8badf3d24bd9fed02aa7c32ca1db50c0f2021dc0d806a9d", "generator_version": "3.0"}
{"id": "v3_test_id_00003635", "prompt": "What is 237 / (-21 + 0 + 387)?", "solution_steps": ["Add: -21 + 0 = -21", "Add: -21 + 387 = 366", "Divide: 237 / 366 = 79/122"], "final_answer": "79/122", "answer_type": "rational", "kind": "expression", "math_text": "237 / (-21 + 0 + 387)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 237, \"b\": -21, \"c\": 0, \"d\": 387}", "seed": "14068189886323107788", "semantic_fingerprint": "sha256:705e1a26b98c373fe5ae60a13ea6c6a742c5b83fc1dceda0bf73a1229e3d9bfd", "generator_version": "3.0"}
{"id": "v3_test_id_00003636", "prompt": "What is -8 - 49?", "solution_steps": ["Subtract: -8 - 49 = -57"], "final_answer": "-57", "answer_type": "integer", "kind": "expression", "math_text": "-8 - 49", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 49}", "seed": "12843552306680762307", "semantic_fingerprint": "sha256:4c3dc655832bed79f2e66ef90d8b427a91af3387b9e897313a789da230073b54", "generator_version": "3.0"}
{"id": "v3_test_id_00003637", "prompt": "What is -226 + 0 / 9?", "solution_steps": ["Divide: 0 / 9 = 0", "Add: -226 + 0 = -226"], "final_answer": "-226", "answer_type": "integer", "kind": "expression", "math_text": "-226 + 0 / 9", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -226, \"b\": 0, \"c\": 9}", "seed": "15330161556891475272", "semantic_fingerprint": "sha256:330596df933b8af570bf95fa441523aaa8a08abeacdc65609934c118d553bc97", "generator_version": "3.0"}
{"id": "v3_test_id_00003638", "prompt": "Solve the equation x + 700 = 10(x + 61) for x.", "solution_steps": ["Expand: x + 700 = 10x + 610", "Subtract 10x from both sides: -9x + 700 = 610", "Subtract 700 from both sides: -9x = -90", "Divide both sides by -9: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 700 = 10(x + 61)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 61, \"d\": 700, \"x\": 10}", "seed": "8174492226801928499", "semantic_fingerprint": "sha256:cb610128b9769b7a6517ac51cb7a9fda005ae7756d9477fb603926ffb02eb43c", "generator_version": "3.0"}
{"id": "v3_test_id_00003639", "prompt": "Solve the equation -10(x + 6) + 276 = 2x for x.", "solution_steps": ["Expand: -10x - 60 + 276 = 2x", "Combine constants: -10x + 216 = 2x", "Subtract 2x from both sides: -12x + 216 = 0", "Subtract 216 from both sides: -12x = -216", "Divide both sides by -12: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 6) + 276 = 2x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 6, \"c\": 2, \"e\": 276, \"x\": 18}", "seed": "16469839075305944876", "semantic_fingerprint": "sha256:0fa4380bb4aaf481f512ef3e920b719a8c1b737c22e8ffd74e777bbde72b9211", "generator_version": "3.0"}
{"id": "v3_test_id_00003640", "prompt": "Calculate: (3 - (0 - 765)) / (-58)", "solution_steps": ["Subtract: 0 - 765 = -765", "Subtract: 3 - (-765) = 768", "Divide: 768 / (-58) = -384/29"], "final_answer": "-384/29", "answer_type": "rational", "kind": "expression", "math_text": "(3 - (0 - 765)) / (-58)", "variable": null, "family": "expression_3op", "shape": "(/ (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 0, \"c\": 765, \"d\": -58}", "seed": "13578312528335237774", "semantic_fingerprint": "sha256:d449fcef70c6a9401a7229b6bfd2594109fc45c86410fa11aa4f8cbae9b84131", "generator_version": "3.0"}
{"id": "v3_test_id_00003641", "prompt": "Evaluate: 6 / (5 / 1)", "solution_steps": ["Divide: 5 / 1 = 5", "Divide: 6 / 5 = 6/5"], "final_answer": "6/5", "answer_type": "rational", "kind": "expression", "math_text": "6 / (5 / 1)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 1}", "seed": "15243106497103084019", "semantic_fingerprint": "sha256:445a629481a1b6964b55fb67595037ea5d9bfab09364e691ed508e3e34d3322d", "generator_version": "3.0"}
{"id": "v3_test_id_00003642", "prompt": "Solve the equation 8(x + 2) - 32 = -4(x - 190) - 812 for x.", "solution_steps": ["Expand: 8x + 16 - 32 = -4(x - 190) - 812", "Expand: 8x + 16 - 32 = -4x + 760 - 812", "Combine constants: 8x - 16 = -4x + 760 - 812", "Combine constants: 8x - 16 = -4x - 52", "Add 4x to both sides: 12x - 16 = -52", "Add 16 to both sides: 12x = -36", "Divide both sides by 12: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 2) - 32 = -4(x - 190) - 812", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": 32, \"d\": -4, \"e\": 190, \"g\": -812, \"x\": -3}", "seed": "8996730607932205781", "semantic_fingerprint": "sha256:dabfeda16116920f6d3bee2ad6c54a4b3a2e03cdc06366bc5e266134e0309a29", "generator_version": "3.0"}
{"id": "v3_test_id_00003643", "prompt": "Calculate: (-78 + (-23)) * 92", "solution_steps": ["Add: -78 + (-23) = -101", "Multiply: -101 * 92 = -9292"], "final_answer": "-9292", "answer_type": "integer", "kind": "expression", "math_text": "(-78 + (-23)) * 92", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": -23, \"c\": 92}", "seed": "8448528093897259", "semantic_fingerprint": "sha256:4a72283708983eb2b16d311aa830e2f7c8c034d2e9da7b1ccf91a9729b8c1ed6", "generator_version": "3.0"}
{"id": "v3_test_id_00003644", "prompt": "Solve for x: 3(x - 19) + 41 = x", "solution_steps": ["Expand: 3x - 57 + 41 = x", "Combine constants: 3x - 16 = x", "Subtract x from both sides: 2x - 16 = 0", "Add 16 to both sides: 2x = 16", "Divide both sides by 2: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 19) + 41 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 19, \"d\": 41, \"x\": 8}", "seed": "13566940238186223493", "semantic_fingerprint": "sha256:cd2594f2eb1a3b8796f65678c067eeffd489242515373de7af1aa2afee43673c", "generator_version": "3.0"}
{"id": "v3_test_id_00003645", "prompt": "What is 737 - (-865 + (-8))?", "solution_steps": ["Add: -865 + (-8) = -873", "Subtract: 737 - (-873) = 1610"], "final_answer": "1610", "answer_type": "integer", "kind": "expression", "math_text": "737 - (-865 + (-8))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 737, \"b\": -865, \"c\": -8}", "seed": "5056975992824148525", "semantic_fingerprint": "sha256:2f9f1ff9aacc22260a768c1b9b72a80efeda999e2f0dd4ab42facf74fda948a0", "generator_version": "3.0"}
{"id": "v3_test_id_00003646", "prompt": "Solve the equation 12x - 9 = 54 for x.", "solution_steps": ["Add 9 to both sides: 12x = 63", "Divide both sides by 12: x = 21/4"], "final_answer": "21/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x - 9 = 54", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 9, \"c\": 54}", "seed": "2373936644397097618", "semantic_fingerprint": "sha256:513e7150019289367a0031eaab11447be24f51310a91cf3cfd42297af8dcbc11", "generator_version": "3.0"}
{"id": "v3_test_id_00003647", "prompt": "Evaluate: 423 / (4 - (-6) * (-6))", "solution_steps": ["Multiply: -6 * (-6) = 36", "Subtract: 4 - 36 = -32", "Divide: 423 / (-32) = -423/32"], "final_answer": "-423/32", "answer_type": "rational", "kind": "expression", "math_text": "423 / (4 - (-6) * (-6))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 423, \"b\": 4, \"c\": -6, \"d\": -6}", "seed": "12843602680432245149", "semantic_fingerprint": "sha256:03e6b9175c40316a7d5d2ea00e304ad590b277638aefe245d577573e401e75aa", "generator_version": "3.0"}
{"id": "v3_test_id_00003648", "prompt": "Calculate: -2 + 0 + (181 - (93 * 3 - (-33)))", "solution_steps": ["Add: -2 + 0 = -2", "Multiply: 93 * 3 = 279", "Subtract: 279 - (-33) = 312", "Subtract: 181 - 312 = -131", "Add: -2 + (-131) = -133"], "final_answer": "-133", "answer_type": "integer", "kind": "expression", "math_text": "-2 + 0 + (181 - (93 * 3 - (-33)))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- n (- (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 0, \"c\": 181, \"d\": 93, \"e\": 3, \"f\": -33}", "seed": "12279513117224546199", "semantic_fingerprint": "sha256:c3c2e3e14e48b423d9dc138c959404e3489f1b63511a674f5e61fff2a7b7a945", "generator_version": "3.0"}
{"id": "v3_test_id_00003649", "prompt": "Compute: 912 - 13 - (-2 - (21 + 27 * 620))", "solution_steps": ["Subtract: 912 - 13 = 899", "Multiply: 27 * 620 = 16740", "Add: 21 + 16740 = 16761", "Subtract: -2 - 16761 = -16763", "Subtract: 899 - (-16763) = 17662"], "final_answer": "17662", "answer_type": "integer", "kind": "expression", "math_text": "912 - 13 - (-2 - (21 + 27 * 620))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (- n (+ n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 912, \"b\": 13, \"c\": -2, \"d\": 21, \"e\": 27, \"f\": 620}", "seed": "3058563578049481636", "semantic_fingerprint": "sha256:a989c1d6ac8f0eef1622e8fca6d9e2ba19018221dd765d9e0ace9e876d3875dc", "generator_version": "3.0"}
{"id": "v3_test_id_00003650", "prompt": "What value of x satisfies 10(x + 65) = 2(x + 579)?", "solution_steps": ["Expand: 10x + 650 = 2(x + 579)", "Expand: 10x + 650 = 2x + 1158", "Subtract 2x from both sides: 8x + 650 = 1158", "Subtract 650 from both sides: 8x = 508", "Divide both sides by 8: x = 127/2"], "final_answer": "127/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 65) = 2(x + 579)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 65, \"c\": 2, \"d\": 579}", "seed": "14957165031550002986", "semantic_fingerprint": "sha256:433b2ba4d76d06b6686dc70d129223d54bae7ae1b30e70be1671483adcc0bd32", "generator_version": "3.0"}
{"id": "v3_test_id_00003651", "prompt": "Compute: 964 / (69 + 416 - 39)", "solution_steps": ["Add: 69 + 416 = 485", "Subtract: 485 - 39 = 446", "Divide: 964 / 446 = 482/223"], "final_answer": "482/223", "answer_type": "rational", "kind": "expression", "math_text": "964 / (69 + 416 - 39)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 964, \"b\": 69, \"c\": 416, \"d\": 39}", "seed": "11878513804274268990", "semantic_fingerprint": "sha256:e38236bbe8dd46cf6cb54edc1b3199b92fa55d9ca5c97cc4fb0f28f5c1d2ebc7", "generator_version": "3.0"}
{"id": "v3_test_id_00003652", "prompt": "Solve for x: x - 219 = 11(x - 9)", "solution_steps": ["Expand: x - 219 = 11x - 99", "Subtract 11x from both sides: -10x - 219 = -99", "Add 219 to both sides: -10x = 120", "Divide both sides by -10: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 219 = 11(x - 9)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 9, \"d\": -219, \"x\": -12}", "seed": "14456872240828038541", "semantic_fingerprint": "sha256:d9f258fb6dbf8d73c9f9aa36add2cf0ccb8c4dba5da3a244dc7e3013227175c8", "generator_version": "3.0"}
{"id": "v3_test_id_00003653", "prompt": "What is -12 * (75 + 57) + (-65)?", "solution_steps": ["Add: 75 + 57 = 132", "Multiply: -12 * 132 = -1584", "Add: -1584 + (-65) = -1649"], "final_answer": "-1649", "answer_type": "integer", "kind": "expression", "math_text": "-12 * (75 + 57) + (-65)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 75, \"c\": 57, \"d\": -65}", "seed": "15398499245493988998", "semantic_fingerprint": "sha256:8a4416e88cbf2bcf3e855bd4e8b4cda1fa8aab576cd70605ce6011478f67a3ab", "generator_version": "3.0"}
{"id": "v3_test_id_00003654", "prompt": "Compute: 40 * (-308 + (-2)) / (-7 * (-84))", "solution_steps": ["Add: -308 + (-2) = -310", "Multiply: 40 * (-310) = -12400", "Multiply: -7 * (-84) = 588", "Divide: -12400 / 588 = -3100/147"], "final_answer": "-3100/147", "answer_type": "rational", "kind": "expression", "math_text": "40 * (-308 + (-2)) / (-7 * (-84))", "variable": null, "family": "expression_4op", "shape": "(/ (* n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": -308, \"c\": -2, \"d\": -7, \"e\": -84}", "seed": "7775465093386001460", "semantic_fingerprint": "sha256:ad46672ab2d503a41c77c1a103fc58af1a61fc9a1975db004bb80d49caa8fa56", "generator_version": "3.0"}
{"id": "v3_test_id_00003655", "prompt": "Solve the equation 8(x - 8) + 857 = 979 for x.", "solution_steps": ["Expand: 8x - 64 + 857 = 979", "Combine constants: 8x + 793 = 979", "Subtract 793 from both sides: 8x = 186", "Divide both sides by 8: x = 93/4"], "final_answer": "93/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 8) + 857 = 979", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 8, \"c\": 857, \"d\": 979}", "seed": "7572041812897036202", "semantic_fingerprint": "sha256:1e152f9a2f5bd07c3841556f4a0c446d34757f66af11e0c59d49a710024c673c", "generator_version": "3.0"}
{"id": "v3_test_id_00003656", "prompt": "Evaluate: -8 + (-987 - 872 + (-273) - 2)", "solution_steps": ["Subtract: -987 - 872 = -1859", "Add: -1859 + (-273) = -2132", "Subtract: -2132 - 2 = -2134", "Add: -8 + (-2134) = -2142"], "final_answer": "-2142", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (-987 - 872 + (-273) - 2)", "variable": null, "family": "expression_4op", "shape": "(+ n (- (+ (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -987, \"c\": 872, \"d\": -273, \"e\": 2}", "seed": "8910129534568997593", "semantic_fingerprint": "sha256:e14931399bbcbda10457aee9cd45cb541494d68fceb5ebecb84b84e0ef61f983", "generator_version": "3.0"}
{"id": "v3_test_id_00003657", "prompt": "What is -72 * (-54 - (-3))?", "solution_steps": ["Subtract: -54 - (-3) = -51", "Multiply: -72 * (-51) = 3672"], "final_answer": "3672", "answer_type": "integer", "kind": "expression", "math_text": "-72 * (-54 - (-3))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": -54, \"c\": -3}", "seed": "9631432720560667129", "semantic_fingerprint": "sha256:e39fc9932779cab2a0fd149f6b4af232e3db4132696b5416fdf87d59df46312c", "generator_version": "3.0"}
{"id": "v3_test_id_00003658", "prompt": "What value of x satisfies x + 298 = -6(x + 243) + 170?", "solution_steps": ["Expand: x + 298 = -6x - 1458 + 170", "Combine constants: x + 298 = -6x - 1288", "Add 6x to both sides: 7x + 298 = -1288", "Subtract 298 from both sides: 7x = -1586", "Divide both sides by 7: x = -1586/7"], "final_answer": "-1586/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 298 = -6(x + 243) + 170", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 298, \"b\": -6, \"c\": 243, \"d\": 170}", "seed": "4144479289367580358", "semantic_fingerprint": "sha256:996dfd70c89a0a0b1eaf0e952934f1f288d8db8b44ff37c14efeff2cae08a833", "generator_version": "3.0"}
{"id": "v3_test_id_00003659", "prompt": "What is (1 / 24 * 706 + 0) * (-85)?", "solution_steps": ["Divide: 1 / 24 = 1/24", "Multiply: (1/24) * 706 = 353/12", "Add: 353/12 + 0 = 353/12", "Multiply: (353/12) * (-85) = -30005/12"], "final_answer": "-30005/12", "answer_type": "rational", "kind": "expression", "math_text": "(1 / 24 * 706 + 0) * (-85)", "variable": null, "family": "expression_4op", "shape": "(* (+ (* (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 24, \"c\": 706, \"d\": 0, \"e\": -85}", "seed": "9880137687208015959", "semantic_fingerprint": "sha256:6a9b16193b8dcd34345b375ae07c8d5d6bd3a8e9f85a5de95e43de5c0fef3176", "generator_version": "3.0"}
{"id": "v3_test_id_00003660", "prompt": "Evaluate: 0 * (-7)", "solution_steps": ["Multiply: 0 * (-7) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-7)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -7}", "seed": "3332370524326016223", "semantic_fingerprint": "sha256:356dd89ad219fbe8cca9e8f6bdc04f4d30c2216a9190b726efc5d05ede52d41b", "generator_version": "3.0"}
{"id": "v3_test_id_00003661", "prompt": "What is 625 - 39 - 0 + 5 - (-4 + 9)?", "solution_steps": ["Subtract: 625 - 39 = 586", "Subtract: 586 - 0 = 586", "Add: 586 + 5 = 591", "Add: -4 + 9 = 5", "Subtract: 591 - 5 = 586"], "final_answer": "586", "answer_type": "integer", "kind": "expression", "math_text": "625 - 39 - 0 + 5 - (-4 + 9)", "variable": null, "family": "expression_5op", "shape": "(- (+ (- (- n n) n) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 625, \"b\": 39, \"c\": 0, \"d\": 5, \"e\": -4, \"f\": 9}", "seed": "2548528430023417049", "semantic_fingerprint": "sha256:f99b9cde84652c01fa879275b5bbe82a3ac141cf94ac9e3cce134e0314cb9492", "generator_version": "3.0"}
{"id": "v3_test_id_00003662", "prompt": "Evaluate: -3 + (-33)", "solution_steps": ["Add: -3 + (-33) = -36"], "final_answer": "-36", "answer_type": "integer", "kind": "expression", "math_text": "-3 + (-33)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -33}", "seed": "8130017898670485663", "semantic_fingerprint": "sha256:1ed0871641fd6e93fe58605e64273e85c4c252c7ddf13d9f71eb157883f8a2c9", "generator_version": "3.0"}
{"id": "v3_test_id_00003663", "prompt": "Compute: 81 - 290", "solution_steps": ["Subtract: 81 - 290 = -209"], "final_answer": "-209", "answer_type": "integer", "kind": "expression", "math_text": "81 - 290", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": 290}", "seed": "2919294239468867450", "semantic_fingerprint": "sha256:00102503049482a85b090b74b62fd588b397f387a8f46c75dcb128225e5adac9", "generator_version": "3.0"}
{"id": "v3_test_id_00003664", "prompt": "Evaluate: 210 * (-78)", "solution_steps": ["Multiply: 210 * (-78) = -16380"], "final_answer": "-16380", "answer_type": "integer", "kind": "expression", "math_text": "210 * (-78)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 210, \"b\": -78}", "seed": "2796097298521484129", "semantic_fingerprint": "sha256:95c18eeed849db7dff6c44358610e4b4db72bd566aaf493079915f8417982605", "generator_version": "3.0"}
{"id": "v3_test_id_00003665", "prompt": "What is 97 - 6?", "solution_steps": ["Subtract: 97 - 6 = 91"], "final_answer": "91", "answer_type": "integer", "kind": "expression", "math_text": "97 - 6", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": 6}", "seed": "8796913852933521803", "semantic_fingerprint": "sha256:29579186a1aab5aae74de26dbeddfb5d27e55e28ad3e8242a16552ee6c4e0fdf", "generator_version": "3.0"}
{"id": "v3_test_id_00003666", "prompt": "Compute: -8 / (-72) - 26", "solution_steps": ["Divide: -8 / (-72) = 1/9", "Subtract: 1/9 - 26 = -233/9"], "final_answer": "-233/9", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (-72) - 26", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -72, \"c\": 26}", "seed": "7366594142216100890", "semantic_fingerprint": "sha256:f4c2c70cee844d9b5d18192bdc43394d0c62878c264fb93339a40f95b77606fb", "generator_version": "3.0"}
{"id": "v3_test_id_00003667", "prompt": "Compute: 336 / (-5 + (-939)) - (-68) - (78 - 58)", "solution_steps": ["Add: -5 + (-939) = -944", "Divide: 336 / (-944) = -21/59", "Subtract: -21/59 - (-68) = 3991/59", "Subtract: 78 - 58 = 20", "Subtract: 3991/59 - 20 = 2811/59"], "final_answer": "2811/59", "answer_type": "rational", "kind": "expression", "math_text": "336 / (-5 + (-939)) - (-68) - (78 - 58)", "variable": null, "family": "expression_5op", "shape": "(- (- (/ n (+ n n)) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 336, \"b\": -5, \"c\": -939, \"d\": -68, \"e\": 78, \"f\": 58}", "seed": "11255015989985707462", "semantic_fingerprint": "sha256:fb1bd807672d526f5284f79c3cf30a6bfe59d56fad426e418949cc1855a718b7", "generator_version": "3.0"}
{"id": "v3_test_id_00003668", "prompt": "Find x: 7x = -614", "solution_steps": ["Divide both sides by 7: x = -614/7"], "final_answer": "-614/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x = -614", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -614}", "seed": "10932344427972550221", "semantic_fingerprint": "sha256:8dd8872ce884c09f131f472c94140940b4fa99d3263db53f54b01741575e41a3", "generator_version": "3.0"}
{"id": "v3_test_id_00003669", "prompt": "What is (-4 - (-6 - 45) * (-91)) / (-588 + 3)?", "solution_steps": ["Subtract: -6 - 45 = -51", "Multiply: -51 * (-91) = 4641", "Subtract: -4 - 4641 = -4645", "Add: -588 + 3 = -585", "Divide: -4645 / (-585) = 929/117"], "final_answer": "929/117", "answer_type": "rational", "kind": "expression", "math_text": "(-4 - (-6 - 45) * (-91)) / (-588 + 3)", "variable": null, "family": "expression_5op", "shape": "(/ (- n (* (- n n) n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -6, \"c\": 45, \"d\": -91, \"e\": -588, \"f\": 3}", "seed": "2902413391075406653", "semantic_fingerprint": "sha256:634799e0203a7eb48a0b60ab167e9b99273431b31f2546bfab4c95a77cb4c9bf", "generator_version": "3.0"}
{"id": "v3_test_id_00003670", "prompt": "Calculate: -91 + (-6)", "solution_steps": ["Add: -91 + (-6) = -97"], "final_answer": "-97", "answer_type": "integer", "kind": "expression", "math_text": "-91 + (-6)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": -6}", "seed": "15214244549741992678", "semantic_fingerprint": "sha256:e20354cec355d6013945c12ccfac0ba6479138d0c3bbaa28b1ca64f9365b537d", "generator_version": "3.0"}
{"id": "v3_test_id_00003671", "prompt": "Calculate: -7 * (37 - (-42))", "solution_steps": ["Subtract: 37 - (-42) = 79", "Multiply: -7 * 79 = -553"], "final_answer": "-553", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (37 - (-42))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 37, \"c\": -42}", "seed": "3821075501578091139", "semantic_fingerprint": "sha256:e1839e7b17303b2b82de91c9d8020a9de6679766e1a52beb14d83af0e0c318ec", "generator_version": "3.0"}
{"id": "v3_test_id_00003672", "prompt": "Compute: 1 - 75 - (681 + 815)", "solution_steps": ["Subtract: 1 - 75 = -74", "Add: 681 + 815 = 1496", "Subtract: -74 - 1496 = -1570"], "final_answer": "-1570", "answer_type": "integer", "kind": "expression", "math_text": "1 - 75 - (681 + 815)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 75, \"c\": 681, \"d\": 815}", "seed": "6518671522194628713", "semantic_fingerprint": "sha256:6fa73ca18eab94f39bd7980a827a5028e629c594d3f5e1c244c5aa832fd68ab2", "generator_version": "3.0"}
{"id": "v3_test_id_00003673", "prompt": "Calculate: 814 * (-45) / (-34 - (-2) / 5)", "solution_steps": ["Multiply: 814 * (-45) = -36630", "Divide: -2 / 5 = -2/5", "Subtract: -34 - (-2/5) = -168/5", "Divide: -36630 / (-168/5) = 30525/28"], "final_answer": "30525/28", "answer_type": "rational", "kind": "expression", "math_text": "814 * (-45) / (-34 - (-2) / 5)", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 814, \"b\": -45, \"c\": -34, \"d\": -2, \"e\": 5}", "seed": "18413470424402265844", "semantic_fingerprint": "sha256:2db798e5d51e41e1c60a7687b2bfd5cf6b07ac7f7359cacee68bcbd9d06ed657", "generator_version": "3.0"}
{"id": "v3_test_id_00003674", "prompt": "Compute: 35 + (-53 + 2)", "solution_steps": ["Add: -53 + 2 = -51", "Add: 35 + (-51) = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "expression", "math_text": "35 + (-53 + 2)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": -53, \"c\": 2}", "seed": "15527261878940497485", "semantic_fingerprint": "sha256:703611b08e3ec2a81d10e96f98ad2d011dd2af1cb30556a8686d084ce59e18c8", "generator_version": "3.0"}
{"id": "v3_test_id_00003675", "prompt": "Calculate: 624 * (36 - 2)", "solution_steps": ["Subtract: 36 - 2 = 34", "Multiply: 624 * 34 = 21216"], "final_answer": "21216", "answer_type": "integer", "kind": "expression", "math_text": "624 * (36 - 2)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 624, \"b\": 36, \"c\": 2}", "seed": "14297436586063559940", "semantic_fingerprint": "sha256:aff45c08afa5d384b587b685537709342313a7ad996268fd5b2401bb1d552bc6", "generator_version": "3.0"}
{"id": "v3_test_id_00003676", "prompt": "Solve the equation x + 954 = 8(x - 8) for x.", "solution_steps": ["Expand: x + 954 = 8x - 64", "Subtract 8x from both sides: -7x + 954 = -64", "Subtract 954 from both sides: -7x = -1018", "Divide both sides by -7: x = 1018/7"], "final_answer": "1018/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 954 = 8(x - 8)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 954, \"b\": 8, \"c\": 8}", "seed": "14869147116860785841", "semantic_fingerprint": "sha256:58ad8954c6423a7cc62b85e388f032367afe325e1deda18cc01e7a2ee6b0e85c", "generator_version": "3.0"}
{"id": "v3_test_id_00003677", "prompt": "Solve the equation 4x = 2(x - 75) + 112 for x.", "solution_steps": ["Expand: 4x = 2x - 150 + 112", "Combine constants: 4x = 2x - 38", "Subtract 2x from both sides: 2x = -38", "Divide both sides by 2: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x = 2(x - 75) + 112", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 2, \"c\": 75, \"e\": 112, \"x\": -19}", "seed": "14986653870574062155", "semantic_fingerprint": "sha256:8ac42f028c8a03978f71bacb990c9cfe997d34b7ca7daf1cde198edb5b88e1da", "generator_version": "3.0"}
{"id": "v3_test_id_00003678", "prompt": "What value of x satisfies 12x + 31 = -5x + 201?", "solution_steps": ["Add 5x to both sides: 17x + 31 = 201", "Subtract 31 from both sides: 17x = 170", "Divide both sides by 17: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 31 = -5x + 201", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 31, \"c\": -5, \"e\": 201, \"x\": 10}", "seed": "11980284043080564421", "semantic_fingerprint": "sha256:99b243437d67ad787365eee52c3aa238b8eccde30305f6b503d6755f534128a5", "generator_version": "3.0"}
{"id": "v3_test_id_00003679", "prompt": "Solve the equation 8(x - 104) + 4 = x - 751 for x.", "solution_steps": ["Expand: 8x - 832 + 4 = x - 751", "Combine constants: 8x - 828 = x - 751", "Subtract x from both sides: 7x - 828 = -751", "Add 828 to both sides: 7x = 77", "Divide both sides by 7: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 104) + 4 = x - 751", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 104, \"c\": 4, \"e\": -751, \"x\": 11}", "seed": "1579341845000703480", "semantic_fingerprint": "sha256:d776dd834d4a089fc8dd35871ce0b095caea1980efb6e83e9ead4bf44e88e8c4", "generator_version": "3.0"}
{"id": "v3_test_id_00003680", "prompt": "Compute: (-2 * 64 - (-160)) / 99", "solution_steps": ["Multiply: -2 * 64 = -128", "Subtract: -128 - (-160) = 32", "Divide: 32 / 99 = 32/99"], "final_answer": "32/99", "answer_type": "rational", "kind": "expression", "math_text": "(-2 * 64 - (-160)) / 99", "variable": null, "family": "expression_3op", "shape": "(/ (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 64, \"c\": -160, \"d\": 99}", "seed": "8769604161155338832", "semantic_fingerprint": "sha256:258edb00308ba31c703d089e13caa40b2f4e20d881e6f25d2fabe54141b175fd", "generator_version": "3.0"}
{"id": "v3_test_id_00003681", "prompt": "Evaluate: 8 / 445 - (-3) * (7 + (-50)) + 2", "solution_steps": ["Divide: 8 / 445 = 8/445", "Add: 7 + (-50) = -43", "Multiply: -3 * (-43) = 129", "Subtract: 8/445 - 129 = -57397/445", "Add: -57397/445 + 2 = -56507/445"], "final_answer": "-56507/445", "answer_type": "rational", "kind": "expression", "math_text": "8 / 445 - (-3) * (7 + (-50)) + 2", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ n n) (* n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 445, \"c\": -3, \"d\": 7, \"e\": -50, \"f\": 2}", "seed": "2640097434494231608", "semantic_fingerprint": "sha256:9ed9042df20bb2fedf78ec40cad778b7acaa2e14e14cb2e92614ab4c11bf4a81", "generator_version": "3.0"}
{"id": "v3_test_id_00003682", "prompt": "Compute: -1 + 529 + (-372) / 729", "solution_steps": ["Add: -1 + 529 = 528", "Divide: -372 / 729 = -124/243", "Add: 528 + (-124/243) = 128180/243"], "final_answer": "128180/243", "answer_type": "rational", "kind": "expression", "math_text": "-1 + 529 + (-372) / 729", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 529, \"c\": -372, \"d\": 729}", "seed": "13389236232842128874", "semantic_fingerprint": "sha256:1f92730c9cb9f8d4c26cf428ef5376a3102c6c318f4bbf65193642b2d40a74fb", "generator_version": "3.0"}
{"id": "v3_test_id_00003683", "prompt": "What value of x satisfies -5(x + 62) = -11(x - 671) - 48?", "solution_steps": ["Expand: -5x - 310 = -11(x - 671) - 48", "Expand: -5x - 310 = -11x + 7381 - 48", "Combine constants: -5x - 310 = -11x + 7333", "Add 11x to both sides: 6x - 310 = 7333", "Add 310 to both sides: 6x = 7643", "Divide both sides by 6: x = 7643/6"], "final_answer": "7643/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x + 62) = -11(x - 671) - 48", "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\": -11, \"d\": 671, \"e\": 48}", "seed": "6838527966450396392", "semantic_fingerprint": "sha256:dd0cedc49b5dde77af665cc71bde9eaf9c2c30b870fcae6a11937337cd00f839", "generator_version": "3.0"}
{"id": "v3_test_id_00003684", "prompt": "Evaluate: -83 + (-3 - (-89)) - (19 + (-44)) / (-61)", "solution_steps": ["Subtract: -3 - (-89) = 86", "Add: -83 + 86 = 3", "Add: 19 + (-44) = -25", "Divide: -25 / (-61) = 25/61", "Subtract: 3 - 25/61 = 158/61"], "final_answer": "158/61", "answer_type": "rational", "kind": "expression", "math_text": "-83 + (-3 - (-89)) - (19 + (-44)) / (-61)", "variable": null, "family": "expression_5op", "shape": "(- (+ n (- n n)) (/ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": -3, \"c\": -89, \"d\": 19, \"e\": -44, \"f\": -61}", "seed": "15880159431687611067", "semantic_fingerprint": "sha256:99de60e3441194d6df69e2117e7285d284f865e89aff9c04a60703111a180a9b", "generator_version": "3.0"}
{"id": "v3_test_id_00003685", "prompt": "Solve for x: -7(x - 98) = 12(x - 3) + 456", "solution_steps": ["Expand: -7x + 686 = 12(x - 3) + 456", "Expand: -7x + 686 = 12x - 36 + 456", "Combine constants: -7x + 686 = 12x + 420", "Subtract 12x from both sides: -19x + 686 = 420", "Subtract 686 from both sides: -19x = -266", "Divide both sides by -19: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 98) = 12(x - 3) + 456", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 98, \"c\": 12, \"d\": 3, \"f\": 456, \"x\": 14}", "seed": "4075150161210144722", "semantic_fingerprint": "sha256:f08354083b4bbc9ae723db0be28f89f6e901bf3362af403db4ca3c6d645f367c", "generator_version": "3.0"}
{"id": "v3_test_id_00003686", "prompt": "Solve for x: x - 428 = 8x - 358", "solution_steps": ["Subtract 8x from both sides: -7x - 428 = -358", "Add 428 to both sides: -7x = 70", "Divide both sides by -7: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 428 = 8x - 358", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 428, \"b\": 8, \"d\": -358, \"x\": -10}", "seed": "2478637765943429233", "semantic_fingerprint": "sha256:a738d112581918ca2a9e2ce5187e38505957526de12772ba2241a2091929fc91", "generator_version": "3.0"}
{"id": "v3_test_id_00003687", "prompt": "Evaluate: -50 / (-66 * (-30 * (-44)))", "solution_steps": ["Multiply: -30 * (-44) = 1320", "Multiply: -66 * 1320 = -87120", "Divide: -50 / (-87120) = 5/8712"], "final_answer": "5/8712", "answer_type": "rational", "kind": "expression", "math_text": "-50 / (-66 * (-30 * (-44)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": -66, \"c\": -30, \"d\": -44}", "seed": "11960196928459319141", "semantic_fingerprint": "sha256:482c4df2409e1ce37e0bd193ebb747b26a9d023e9d6373f10fb9d241501bd1e6", "generator_version": "3.0"}
{"id": "v3_test_id_00003688", "prompt": "What is -94 / (-18) / 3?", "solution_steps": ["Divide: -94 / (-18) = 47/9", "Divide: (47/9) / 3 = 47/27"], "final_answer": "47/27", "answer_type": "rational", "kind": "expression", "math_text": "-94 / (-18) / 3", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": -18, \"c\": 3}", "seed": "4081811669393619314", "semantic_fingerprint": "sha256:a53ba200a445c14e5bcf59c3b6e7cb8b02c51ce7f2e3c524215de7888ed1b1cb", "generator_version": "3.0"}
{"id": "v3_test_id_00003689", "prompt": "Calculate: -300 + (-763) * 2", "solution_steps": ["Multiply: -763 * 2 = -1526", "Add: -300 + (-1526) = -1826"], "final_answer": "-1826", "answer_type": "integer", "kind": "expression", "math_text": "-300 + (-763) * 2", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -300, \"b\": -763, \"c\": 2}", "seed": "4333723717320899823", "semantic_fingerprint": "sha256:94c363d5bce2814a344c550aa21af361802cbb117d915ed608cce4f9f8026d24", "generator_version": "3.0"}
{"id": "v3_test_id_00003690", "prompt": "Find x: 7(x + 6) + 20 = x - 6", "solution_steps": ["Expand: 7x + 42 + 20 = x - 6", "Combine constants: 7x + 62 = x - 6", "Subtract x from both sides: 6x + 62 = -6", "Subtract 62 from both sides: 6x = -68", "Divide both sides by 6: x = -34/3"], "final_answer": "-34/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 6) + 20 = x - 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": 20, \"d\": 6}", "seed": "15783339132369013720", "semantic_fingerprint": "sha256:346ecc61848fff690d157e6e56a823f1d4e86e03040c2ee994e8b5adcb1e0733", "generator_version": "3.0"}
{"id": "v3_test_id_00003691", "prompt": "Solve the equation x - 736 = -2(x - 84) for x.", "solution_steps": ["Expand: x - 736 = -2x + 168", "Add 2x to both sides: 3x - 736 = 168", "Add 736 to both sides: 3x = 904", "Divide both sides by 3: x = 904/3"], "final_answer": "904/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 736 = -2(x - 84)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 736, \"b\": -2, \"c\": 84}", "seed": "13553465914236577430", "semantic_fingerprint": "sha256:c5cbfcc6bda021a60cd75af2352df12780fc214e75c91393b0d316b252ef3cc8", "generator_version": "3.0"}
{"id": "v3_test_id_00003692", "prompt": "What value of x satisfies 12x = 132?", "solution_steps": ["Divide both sides by 12: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = 132", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"c\": 132, \"x\": 11}", "seed": "4614509953638271906", "semantic_fingerprint": "sha256:66d7f62a964c40bc55399e0b9270816540b2453db5934d219c669b0caf02af2d", "generator_version": "3.0"}
{"id": "v3_test_id_00003693", "prompt": "Solve the equation x + 81 = -4(x - 19) for x.", "solution_steps": ["Expand: x + 81 = -4x + 76", "Add 4x to both sides: 5x + 81 = 76", "Subtract 81 from both sides: 5x = -5", "Divide both sides by 5: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 81 = -4(x - 19)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 19, \"d\": 81, \"x\": -1}", "seed": "4335795616120097329", "semantic_fingerprint": "sha256:5db4a61be584da5259f19034d7866c0272e7d7bfaa4abb67fa710d91ebf898fa", "generator_version": "3.0"}
{"id": "v3_test_id_00003694", "prompt": "Solve for x: x + 329 = 11x + 504", "solution_steps": ["Subtract 11x from both sides: -10x + 329 = 504", "Subtract 329 from both sides: -10x = 175", "Divide both sides by -10: x = -35/2"], "final_answer": "-35/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 329 = 11x + 504", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 329, \"b\": 11, \"c\": 504}", "seed": "14271073868994213544", "semantic_fingerprint": "sha256:0316494d128ad8949f7bce4cc14e1f2c8aa401c95e72e66b89192412cde00f00", "generator_version": "3.0"}
{"id": "v3_test_id_00003695", "prompt": "Find x: 8x - 9 = x + 124", "solution_steps": ["Subtract x from both sides: 7x - 9 = 124", "Add 9 to both sides: 7x = 133", "Divide both sides by 7: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 9 = x + 124", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"d\": 124, \"x\": 19}", "seed": "1976315509884764932", "semantic_fingerprint": "sha256:302d53bf6029f724a66e745b6abb5d0f8a0fa7604b1380cbe2edf97db624ce92", "generator_version": "3.0"}
{"id": "v3_test_id_00003696", "prompt": "Evaluate: -176 - 59", "solution_steps": ["Subtract: -176 - 59 = -235"], "final_answer": "-235", "answer_type": "integer", "kind": "expression", "math_text": "-176 - 59", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -176, \"b\": 59}", "seed": "14952017480300081979", "semantic_fingerprint": "sha256:e214a6a4e04409daff2b4049f2ee77a36a0832415dadec8250cf5d1cf31cf7eb", "generator_version": "3.0"}
{"id": "v3_test_id_00003697", "prompt": "Compute: 78 + (-949 + 53) + (-81)", "solution_steps": ["Add: -949 + 53 = -896", "Add: 78 + (-896) = -818", "Add: -818 + (-81) = -899"], "final_answer": "-899", "answer_type": "integer", "kind": "expression", "math_text": "78 + (-949 + 53) + (-81)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": -949, \"c\": 53, \"d\": -81}", "seed": "1092752767037454243", "semantic_fingerprint": "sha256:8b20c9fe756b8a00d052a19b329c2b050ab3d2586be60292aee6bbf31c50d307", "generator_version": "3.0"}
{"id": "v3_test_id_00003698", "prompt": "Calculate: -38 * (-88 * 2)", "solution_steps": ["Multiply: -88 * 2 = -176", "Multiply: -38 * (-176) = 6688"], "final_answer": "6688", "answer_type": "integer", "kind": "expression", "math_text": "-38 * (-88 * 2)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": -88, \"c\": 2}", "seed": "5150994760221661379", "semantic_fingerprint": "sha256:c82ea8738307a4c1fc0453526ca5d96e0d05b6e77cdfcb31eb95b0d0f6bccc1c", "generator_version": "3.0"}
{"id": "v3_test_id_00003699", "prompt": "What value of x satisfies x - 8 = 5x?", "solution_steps": ["Subtract 5x from both sides: -4x - 8 = 0", "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": "x - 8 = 5x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"c\": -8, \"x\": -2}", "seed": "17535004054868369271", "semantic_fingerprint": "sha256:2f8a81be74a6b6d67c047a6a891d29b2efe731c5f3f5b33352388ba372ce4d04", "generator_version": "3.0"}
{"id": "v3_test_id_00003700", "prompt": "Compute: 0 - (-8) - 3", "solution_steps": ["Subtract: 0 - (-8) = 8", "Subtract: 8 - 3 = 5"], "final_answer": "5", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-8) - 3", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -8, \"c\": 3}", "seed": "6405349347610687436", "semantic_fingerprint": "sha256:7382db635ec15931bfe3bedc6b0d7dcf23e15307f5d19f74084058116457aa30", "generator_version": "3.0"}
{"id": "v3_test_id_00003701", "prompt": "Find x: -2x - 1 = x - 3", "solution_steps": ["Subtract x from both sides: -3x - 1 = -3", "Add 1 to both sides: -3x = -2", "Divide both sides by -3: x = 2/3"], "final_answer": "2/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2x - 1 = x - 3", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 1, \"c\": 3}", "seed": "11009898169461873152", "semantic_fingerprint": "sha256:02d9fa6b2e99365662eead71b59414fb80dbb022d11b766e1f342f37924646f4", "generator_version": "3.0"}
{"id": "v3_test_id_00003702", "prompt": "Evaluate: 25 - 409 - 7", "solution_steps": ["Subtract: 25 - 409 = -384", "Subtract: -384 - 7 = -391"], "final_answer": "-391", "answer_type": "integer", "kind": "expression", "math_text": "25 - 409 - 7", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": 409, \"c\": 7}", "seed": "15018108832483193821", "semantic_fingerprint": "sha256:29b65c4fe2721f1ba27e74aa069c22ebaaa24ffe321e91ac69334d46a3913da4", "generator_version": "3.0"}
{"id": "v3_test_id_00003703", "prompt": "Evaluate: -33 - (532 * 9 - 6 + 3) - 975", "solution_steps": ["Multiply: 532 * 9 = 4788", "Subtract: 4788 - 6 = 4782", "Add: 4782 + 3 = 4785", "Subtract: -33 - 4785 = -4818", "Subtract: -4818 - 975 = -5793"], "final_answer": "-5793", "answer_type": "integer", "kind": "expression", "math_text": "-33 - (532 * 9 - 6 + 3) - 975", "variable": null, "family": "expression_5op", "shape": "(- (- n (+ (- (* n n) n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": 532, \"c\": 9, \"d\": 6, \"e\": 3, \"f\": 975}", "seed": "17124007299752065245", "semantic_fingerprint": "sha256:3889dd55b6ebaa55d7c83c0f014b1f77701fbf0ff3afdbbc03e7c0a06e7e23c3", "generator_version": "3.0"}
{"id": "v3_test_id_00003704", "prompt": "Solve for x: 3x = 4x - 15", "solution_steps": ["Subtract 4x from both sides: -x = -15", "Divide both sides by -1: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 4x - 15", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 4, \"d\": -15, \"x\": 15}", "seed": "13031088183605020421", "semantic_fingerprint": "sha256:ebff68a6582971db26d7c0b310e0a212d14bab264e99782575593744be9ea153", "generator_version": "3.0"}
{"id": "v3_test_id_00003705", "prompt": "Find x: 11x + 855 = -9(x - 55)", "solution_steps": ["Expand: 11x + 855 = -9x + 495", "Add 9x to both sides: 20x + 855 = 495", "Subtract 855 from both sides: 20x = -360", "Divide both sides by 20: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 855 = -9(x - 55)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -9, \"c\": 55, \"e\": 855, \"x\": -18}", "seed": "16947755418955493401", "semantic_fingerprint": "sha256:0f14135723b0bc83f0c097db090f46b4f3a23edaa21b3b8ed57133e870d60d59", "generator_version": "3.0"}
{"id": "v3_test_id_00003706", "prompt": "Evaluate: -917 / (-74)", "solution_steps": ["Divide: -917 / (-74) = 917/74"], "final_answer": "917/74", "answer_type": "rational", "kind": "expression", "math_text": "-917 / (-74)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -917, \"b\": -74}", "seed": "13917828359866538311", "semantic_fingerprint": "sha256:a0a2589a3e01385c173eabdfca1041b9037757b43f4291ddf491e2331542c6df", "generator_version": "3.0"}
{"id": "v3_test_id_00003707", "prompt": "What is 25 / (-1) / (5 + (-835))?", "solution_steps": ["Divide: 25 / (-1) = -25", "Add: 5 + (-835) = -830", "Divide: -25 / (-830) = 5/166"], "final_answer": "5/166", "answer_type": "rational", "kind": "expression", "math_text": "25 / (-1) / (5 + (-835))", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": -1, \"c\": 5, \"d\": -835}", "seed": "11304243898644195796", "semantic_fingerprint": "sha256:22cc18e916edc859fb0e1c823c31ffaff8c3320695b1870d862de70bff04b63e", "generator_version": "3.0"}
{"id": "v3_test_id_00003708", "prompt": "Solve the equation x - 95 = -2x - 107 for x.", "solution_steps": ["Add 2x to both sides: 3x - 95 = -107", "Add 95 to both sides: 3x = -12", "Divide both sides by 3: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 95 = -2x - 107", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": -2, \"d\": -107, \"x\": -4}", "seed": "974940537305728662", "semantic_fingerprint": "sha256:bdba009026f49889301cf5362a3a8968a54034370685bfd7b20bd0916ef98c73", "generator_version": "3.0"}
{"id": "v3_test_id_00003709", "prompt": "Solve for x: -3x + 920 = 4(x + 24)", "solution_steps": ["Expand: -3x + 920 = 4x + 96", "Subtract 4x from both sides: -7x + 920 = 96", "Subtract 920 from both sides: -7x = -824", "Divide both sides by -7: x = 824/7"], "final_answer": "824/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3x + 920 = 4(x + 24)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 920, \"c\": 4, \"d\": 24}", "seed": "12302999818705761158", "semantic_fingerprint": "sha256:52b14e9776f6a3b1f942c25a42b9391cbf99619782b8c4735ab189110974906c", "generator_version": "3.0"}
{"id": "v3_test_id_00003710", "prompt": "What value of x satisfies -11(x - 69) = x?", "solution_steps": ["Expand: -11x + 759 = x", "Subtract x from both sides: -12x + 759 = 0", "Subtract 759 from both sides: -12x = -759", "Divide both sides by -12: x = 253/4"], "final_answer": "253/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 69) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 69}", "seed": "7085414866318304310", "semantic_fingerprint": "sha256:a86913dfd565adce1443731c8deb4bd653810ce644a9c2c8185efd15b083e3fc", "generator_version": "3.0"}
{"id": "v3_test_id_00003711", "prompt": "Compute: -78 - (-674 / (-1) - 95 + 69)", "solution_steps": ["Divide: -674 / (-1) = 674", "Subtract: 674 - 95 = 579", "Add: 579 + 69 = 648", "Subtract: -78 - 648 = -726"], "final_answer": "-726", "answer_type": "integer", "kind": "expression", "math_text": "-78 - (-674 / (-1) - 95 + 69)", "variable": null, "family": "expression_4op", "shape": "(- n (+ (- (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": -674, \"c\": -1, \"d\": 95, \"e\": 69}", "seed": "9268714944436513171", "semantic_fingerprint": "sha256:191ce426bee913034c64c90fa4553d778a29a203bae95d7be16c9854c9496b6b", "generator_version": "3.0"}
{"id": "v3_test_id_00003712", "prompt": "Solve for x: -8(x + 542) - 4 = 9(x + 92) + 26", "solution_steps": ["Expand: -8x - 4336 - 4 = 9(x + 92) + 26", "Expand: -8x - 4336 - 4 = 9x + 828 + 26", "Combine constants: -8x - 4340 = 9x + 828 + 26", "Combine constants: -8x - 4340 = 9x + 854", "Subtract 9x from both sides: -17x - 4340 = 854", "Add 4340 to both sides: -17x = 5194", "Divide both sides by -17: x = -5194/17"], "final_answer": "-5194/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x + 542) - 4 = 9(x + 92) + 26", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 542, \"c\": 4, \"d\": 9, \"e\": 92, \"f\": 26}", "seed": "4495519116588007657", "semantic_fingerprint": "sha256:59c61e98d03f5992e974235065086cada45133ac64b56a908492ad5452d3d156", "generator_version": "3.0"}
{"id": "v3_test_id_00003713", "prompt": "Solve the equation 11(x + 3) = x + 2 for x.", "solution_steps": ["Expand: 11x + 33 = x + 2", "Subtract x from both sides: 10x + 33 = 2", "Subtract 33 from both sides: 10x = -31", "Divide both sides by 10: x = -31/10"], "final_answer": "-31/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 3) = x + 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 3, \"c\": 2}", "seed": "353959832486289844", "semantic_fingerprint": "sha256:d4bd0005f76cfe3c8febfc7db5db3c4ab81bac45c63a495bdd857d9578ffe566", "generator_version": "3.0"}
{"id": "v3_test_id_00003714", "prompt": "What value of x satisfies -2(x + 89) + 6 = 3(x - 98) + 97?", "solution_steps": ["Expand: -2x - 178 + 6 = 3(x - 98) + 97", "Expand: -2x - 178 + 6 = 3x - 294 + 97", "Combine constants: -2x - 172 = 3x - 294 + 97", "Combine constants: -2x - 172 = 3x - 197", "Subtract 3x from both sides: -5x - 172 = -197", "Add 172 to both sides: -5x = -25", "Divide both sides by -5: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 89) + 6 = 3(x - 98) + 97", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 89, \"c\": 6, \"d\": 3, \"e\": 98, \"g\": 97, \"x\": 5}", "seed": "14189933266895397554", "semantic_fingerprint": "sha256:9d1d4882e82f009625d89dd4f96ddac2efa73f5a3b09dafb496d381e2614403a", "generator_version": "3.0"}
{"id": "v3_test_id_00003715", "prompt": "Compute: -775 + 41 - (-437)", "solution_steps": ["Add: -775 + 41 = -734", "Subtract: -734 - (-437) = -297"], "final_answer": "-297", "answer_type": "integer", "kind": "expression", "math_text": "-775 + 41 - (-437)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -775, \"b\": 41, \"c\": -437}", "seed": "11614749470288611392", "semantic_fingerprint": "sha256:32bf735966a8456e9ce40b17eb43d6fed201ab5125be96380bfdcc0f37b753e0", "generator_version": "3.0"}
{"id": "v3_test_id_00003716", "prompt": "Solve for x: -11(x + 53) + 625 = -10(x - 4)", "solution_steps": ["Expand: -11x - 583 + 625 = -10(x - 4)", "Expand: -11x - 583 + 625 = -10x + 40", "Combine constants: -11x + 42 = -10x + 40", "Add 10x to both sides: -x + 42 = 40", "Subtract 42 from both sides: -x = -2", "Divide both sides by -1: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 53) + 625 = -10(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\": 53, \"c\": -10, \"d\": 4, \"f\": 625, \"x\": 2}", "seed": "3510357780865595235", "semantic_fingerprint": "sha256:e7032f840356755338e764f2834b9413c587cbea2364a1618b65bca0950c2c2c", "generator_version": "3.0"}
{"id": "v3_test_id_00003717", "prompt": "Calculate: 94 / (432 + (-3) * 3)", "solution_steps": ["Multiply: -3 * 3 = -9", "Add: 432 + (-9) = 423", "Divide: 94 / 423 = 2/9"], "final_answer": "2/9", "answer_type": "rational", "kind": "expression", "math_text": "94 / (432 + (-3) * 3)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": 432, \"c\": -3, \"d\": 3}", "seed": "7154106086641271507", "semantic_fingerprint": "sha256:d604ec4b827eace51add21892b6a00fdfec66f72a0f76730ef48bb78feb497a3", "generator_version": "3.0"}
{"id": "v3_test_id_00003718", "prompt": "Calculate: -1 * (89 * (-217))", "solution_steps": ["Multiply: 89 * (-217) = -19313", "Multiply: -1 * (-19313) = 19313"], "final_answer": "19313", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (89 * (-217))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 89, \"c\": -217}", "seed": "1829561540811021275", "semantic_fingerprint": "sha256:ace67658213d75bfb6c70dbfc4152f32ffaa1026bf91a34d37599a2aced971a9", "generator_version": "3.0"}
{"id": "v3_test_id_00003719", "prompt": "Solve for x: 12(x - 335) + 419 = 5x", "solution_steps": ["Expand: 12x - 4020 + 419 = 5x", "Combine constants: 12x - 3601 = 5x", "Subtract 5x from both sides: 7x - 3601 = 0", "Add 3601 to both sides: 7x = 3601", "Divide both sides by 7: x = 3601/7"], "final_answer": "3601/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 335) + 419 = 5x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 335, \"c\": 419, \"d\": 5}", "seed": "17658079747086168504", "semantic_fingerprint": "sha256:945994a6a058a6c9285c5a92d9e9a79f0da6903397c82d5fbca60e225a8b7b0b", "generator_version": "3.0"}
{"id": "v3_test_id_00003720", "prompt": "Solve for x: 6(x - 45) - 6 = 7x - 283", "solution_steps": ["Expand: 6x - 270 - 6 = 7x - 283", "Combine constants: 6x - 276 = 7x - 283", "Subtract 7x from both sides: -x - 276 = -283", "Add 276 to both sides: -x = -7", "Divide both sides by -1: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 45) - 6 = 7x - 283", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 45, \"c\": 6, \"d\": 7, \"f\": -283, \"x\": 7}", "seed": "9460851091062705459", "semantic_fingerprint": "sha256:bc710e4dca192aec6602b609469914d61605225f9f2c01382b3d654c4495a7c6", "generator_version": "3.0"}
{"id": "v3_test_id_00003721", "prompt": "Evaluate: -5 + (-28) - (-7)", "solution_steps": ["Add: -5 + (-28) = -33", "Subtract: -33 - (-7) = -26"], "final_answer": "-26", "answer_type": "integer", "kind": "expression", "math_text": "-5 + (-28) - (-7)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -28, \"c\": -7}", "seed": "9485586570887225359", "semantic_fingerprint": "sha256:4309b306853ca9921facc89131e0dc8f706d6b569980d6ad2d6386f8d56be3e8", "generator_version": "3.0"}
{"id": "v3_test_id_00003722", "prompt": "What is (1 - (-52) / 10 / 42) * (-8)?", "solution_steps": ["Divide: -52 / 10 = -26/5", "Divide: (-26/5) / 42 = -13/105", "Subtract: 1 - (-13/105) = 118/105", "Multiply: (118/105) * (-8) = -944/105"], "final_answer": "-944/105", "answer_type": "rational", "kind": "expression", "math_text": "(1 - (-52) / 10 / 42) * (-8)", "variable": null, "family": "expression_4op", "shape": "(* (- n (/ (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -52, \"c\": 10, \"d\": 42, \"e\": -8}", "seed": "10568726010671953784", "semantic_fingerprint": "sha256:f952579a2e922cbe3d5713295c801afba46c96bd254d1f74f0968a27c337b87d", "generator_version": "3.0"}
{"id": "v3_test_id_00003723", "prompt": "Solve for x: 9x = 12(x + 228)", "solution_steps": ["Expand: 9x = 12x + 2736", "Subtract 12x from both sides: -3x = 2736", "Divide both sides by -3: x = -912"], "final_answer": "-912", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 12(x + 228)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 12, \"c\": 228}", "seed": "10058488193433926477", "semantic_fingerprint": "sha256:ca361343b070d8844c64eef01ee5c38bc5130dcec4fb078e6c20c4ce9153b110", "generator_version": "3.0"}
{"id": "v3_test_id_00003724", "prompt": "Compute: 4 * (-381 / (-220)) + 5 / 159", "solution_steps": ["Divide: -381 / (-220) = 381/220", "Multiply: 4 * (381/220) = 381/55", "Divide: 5 / 159 = 5/159", "Add: 381/55 + 5/159 = 60854/8745"], "final_answer": "60854/8745", "answer_type": "rational", "kind": "expression", "math_text": "4 * (-381 / (-220)) + 5 / 159", "variable": null, "family": "expression_4op", "shape": "(+ (* n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -381, \"c\": -220, \"d\": 5, \"e\": 159}", "seed": "590918030588193138", "semantic_fingerprint": "sha256:c5386c9ff66ef7cf779eefa36dd93523787a56c7f792c3120c9f8daf270761db", "generator_version": "3.0"}
{"id": "v3_test_id_00003725", "prompt": "Calculate: 73 * (-129) + 55", "solution_steps": ["Multiply: 73 * (-129) = -9417", "Add: -9417 + 55 = -9362"], "final_answer": "-9362", "answer_type": "integer", "kind": "expression", "math_text": "73 * (-129) + 55", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": -129, \"c\": 55}", "seed": "6130684796741840166", "semantic_fingerprint": "sha256:6c547a775ba28776981dec4a17875642830bf53fd1373a2b026783f83334b569", "generator_version": "3.0"}
{"id": "v3_test_id_00003726", "prompt": "Calculate: -645 * (-1) + (-76)", "solution_steps": ["Multiply: -645 * (-1) = 645", "Add: 645 + (-76) = 569"], "final_answer": "569", "answer_type": "integer", "kind": "expression", "math_text": "-645 * (-1) + (-76)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -645, \"b\": -1, \"c\": -76}", "seed": "15279698099989328947", "semantic_fingerprint": "sha256:d208b31b0ba88c832e142dfc1ffd35eed451091c2ab2f442aa948890c60e4133", "generator_version": "3.0"}
{"id": "v3_test_id_00003727", "prompt": "Solve the equation -5(x + 9) = -12(x - 7) for x.", "solution_steps": ["Expand: -5x - 45 = -12(x - 7)", "Expand: -5x - 45 = -12x + 84", "Add 12x to both sides: 7x - 45 = 84", "Add 45 to both sides: 7x = 129", "Divide both sides by 7: x = 129/7"], "final_answer": "129/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x + 9) = -12(x - 7)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 9, \"c\": -12, \"d\": 7}", "seed": "15318744360119231283", "semantic_fingerprint": "sha256:eb44593388ed930c6c273f396fa96baf61344a09b93e1b80172bfa6864f5a9df", "generator_version": "3.0"}
{"id": "v3_test_id_00003728", "prompt": "What value of x satisfies -6(x + 15) - 777 = 9(x - 83)?", "solution_steps": ["Expand: -6x - 90 - 777 = 9(x - 83)", "Expand: -6x - 90 - 777 = 9x - 747", "Combine constants: -6x - 867 = 9x - 747", "Subtract 9x from both sides: -15x - 867 = -747", "Add 867 to both sides: -15x = 120", "Divide both sides by -15: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 15) - 777 = 9(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\": 15, \"c\": 9, \"d\": 83, \"f\": -777, \"x\": -8}", "seed": "6102459956296227026", "semantic_fingerprint": "sha256:c0884d4eb31b8b095934888cfcad2d3246360b0e4d8039927165ddd0ed5a53f1", "generator_version": "3.0"}
{"id": "v3_test_id_00003729", "prompt": "What is (-55 + 20) * (0 + 807 + 832)?", "solution_steps": ["Add: -55 + 20 = -35", "Add: 0 + 807 = 807", "Add: 807 + 832 = 1639", "Multiply: -35 * 1639 = -57365"], "final_answer": "-57365", "answer_type": "integer", "kind": "expression", "math_text": "(-55 + 20) * (0 + 807 + 832)", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": 20, \"c\": 0, \"d\": 807, \"e\": 832}", "seed": "1529903277304439093", "semantic_fingerprint": "sha256:65f18f3c166aefdca11952b5bc993fef78c20c264e4ae5f8e72731a61aff54d7", "generator_version": "3.0"}
{"id": "v3_test_id_00003730", "prompt": "What value of x satisfies x = 12(x - 7) - 15?", "solution_steps": ["Expand: x = 12x - 84 - 15", "Combine constants: x = 12x - 99", "Subtract 12x from both sides: -11x = -99", "Divide both sides by -11: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 12(x - 7) - 15", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7, \"d\": -15, \"x\": 9}", "seed": "6937465762768835315", "semantic_fingerprint": "sha256:eeb6f8354cc4122b4725e85b76f393a701cf30f657966ad1fc965180a62d0773", "generator_version": "3.0"}
{"id": "v3_test_id_00003731", "prompt": "Compute: -36 * 796 + (-233)", "solution_steps": ["Multiply: -36 * 796 = -28656", "Add: -28656 + (-233) = -28889"], "final_answer": "-28889", "answer_type": "integer", "kind": "expression", "math_text": "-36 * 796 + (-233)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": 796, \"c\": -233}", "seed": "7970910050557331366", "semantic_fingerprint": "sha256:efc119a0b211c34a0e3d9641dc030b49f260253d5a158cced757855a172e1daa", "generator_version": "3.0"}
{"id": "v3_test_id_00003732", "prompt": "Evaluate: -6 - (55 + 1)", "solution_steps": ["Add: 55 + 1 = 56", "Subtract: -6 - 56 = -62"], "final_answer": "-62", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (55 + 1)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 55, \"c\": 1}", "seed": "10292480828087018164", "semantic_fingerprint": "sha256:9b239f731024e63b9c32ebc112c996bccdb0c272d258b3266ff53daaa1789894", "generator_version": "3.0"}
{"id": "v3_test_id_00003733", "prompt": "Evaluate: -9 * (9 + (-73) + 96 * (-9 / (-8)))", "solution_steps": ["Add: 9 + (-73) = -64", "Divide: -9 / (-8) = 9/8", "Multiply: 96 * (9/8) = 108", "Add: -64 + 108 = 44", "Multiply: -9 * 44 = -396"], "final_answer": "-396", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (9 + (-73) + 96 * (-9 / (-8)))", "variable": null, "family": "expression_5op", "shape": "(* n (+ (+ n n) (* n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 9, \"c\": -73, \"d\": 96, \"e\": -9, \"f\": -8}", "seed": "14634263558081830144", "semantic_fingerprint": "sha256:1721baa6c539a14f8ffa380fdb6ced135d86b202de7d0a8aeed99bcabcafc091", "generator_version": "3.0"}
{"id": "v3_test_id_00003734", "prompt": "Compute: -19 * (-96 * 8)", "solution_steps": ["Multiply: -96 * 8 = -768", "Multiply: -19 * (-768) = 14592"], "final_answer": "14592", "answer_type": "integer", "kind": "expression", "math_text": "-19 * (-96 * 8)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": -96, \"c\": 8}", "seed": "10340975376352740707", "semantic_fingerprint": "sha256:931614a14e67c818dedcd279b9448ef7c13fabb24d5cdeda8fd535ac460c306b", "generator_version": "3.0"}
{"id": "v3_test_id_00003735", "prompt": "Compute: (0 - (0 - (-567))) * (-1)", "solution_steps": ["Subtract: 0 - (-567) = 567", "Subtract: 0 - 567 = -567", "Multiply: -567 * (-1) = 567"], "final_answer": "567", "answer_type": "integer", "kind": "expression", "math_text": "(0 - (0 - (-567))) * (-1)", "variable": null, "family": "expression_3op", "shape": "(* (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 0, \"c\": -567, \"d\": -1}", "seed": "4546420329801281349", "semantic_fingerprint": "sha256:170332acc9558cf8eba06f6f3fffc625a93a7fa70213b5f3d68129098335d1d3", "generator_version": "3.0"}
{"id": "v3_test_id_00003736", "prompt": "What value of x satisfies -10(x - 92) = x + 997?", "solution_steps": ["Expand: -10x + 920 = x + 997", "Subtract x from both sides: -11x + 920 = 997", "Subtract 920 from both sides: -11x = 77", "Divide both sides by -11: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 92) = x + 997", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 92, \"d\": 997, \"x\": -7}", "seed": "14256636827562430468", "semantic_fingerprint": "sha256:538e1fb87075a433725673a28746e7abeb4356354274644069013b2a7c0fdad2", "generator_version": "3.0"}
{"id": "v3_test_id_00003737", "prompt": "What is -5 - 780 / (-1)?", "solution_steps": ["Divide: 780 / (-1) = -780", "Subtract: -5 - (-780) = 775"], "final_answer": "775", "answer_type": "integer", "kind": "expression", "math_text": "-5 - 780 / (-1)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 780, \"c\": -1}", "seed": "4085273198350108867", "semantic_fingerprint": "sha256:3818e52e2c3bf58d0f50cc9ee8be84bd562b3505b9a3c136d9ebd1737da529a7", "generator_version": "3.0"}
{"id": "v3_test_id_00003738", "prompt": "What is -68 * (6 * 80)?", "solution_steps": ["Multiply: 6 * 80 = 480", "Multiply: -68 * 480 = -32640"], "final_answer": "-32640", "answer_type": "integer", "kind": "expression", "math_text": "-68 * (6 * 80)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": 6, \"c\": 80}", "seed": "15071610056830533057", "semantic_fingerprint": "sha256:7e78bc3c66aa2dd3fb262296480e4eaeb70d5f8c96e68117f2d4cfd59527df3e", "generator_version": "3.0"}
{"id": "v3_test_id_00003739", "prompt": "What is 85 * (-9 - 8)?", "solution_steps": ["Subtract: -9 - 8 = -17", "Multiply: 85 * (-17) = -1445"], "final_answer": "-1445", "answer_type": "integer", "kind": "expression", "math_text": "85 * (-9 - 8)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": -9, \"c\": 8}", "seed": "9977552486279817174", "semantic_fingerprint": "sha256:2dedd28d3035736599c391191f764dc43d1537bdcf338268fe62205120be702f", "generator_version": "3.0"}
{"id": "v3_test_id_00003740", "prompt": "What value of x satisfies 12(x + 42) = x?", "solution_steps": ["Expand: 12x + 504 = x", "Subtract x from both sides: 11x + 504 = 0", "Subtract 504 from both sides: 11x = -504", "Divide both sides by 11: x = -504/11"], "final_answer": "-504/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 42) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 42}", "seed": "12936847831996437882", "semantic_fingerprint": "sha256:cf1379d341c78306b160af790d23c41a27d12cd7628c47790ac378b5eeb3506e", "generator_version": "3.0"}
{"id": "v3_test_id_00003741", "prompt": "Evaluate: (-915 - 38) * (-287)", "solution_steps": ["Subtract: -915 - 38 = -953", "Multiply: -953 * (-287) = 273511"], "final_answer": "273511", "answer_type": "integer", "kind": "expression", "math_text": "(-915 - 38) * (-287)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -915, \"b\": 38, \"c\": -287}", "seed": "16486323599347787119", "semantic_fingerprint": "sha256:cba629815117d6f69b7a3ea93302232a4bd862ffb9fc4e48a6ff89dcd8826db9", "generator_version": "3.0"}
{"id": "v3_test_id_00003742", "prompt": "Solve for x: x - 54 = 3(x - 14)", "solution_steps": ["Expand: x - 54 = 3x - 42", "Subtract 3x from both sides: -2x - 54 = -42", "Add 54 to both sides: -2x = 12", "Divide both sides by -2: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 54 = 3(x - 14)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 14, \"d\": -54, \"x\": -6}", "seed": "9549745309911226439", "semantic_fingerprint": "sha256:acd677b9320e256b75c1324cd74dd903871526ed55f97cd9431547951cb7e8e8", "generator_version": "3.0"}
{"id": "v3_test_id_00003743", "prompt": "Calculate: (-2 + (-96)) / 690", "solution_steps": ["Add: -2 + (-96) = -98", "Divide: -98 / 690 = -49/345"], "final_answer": "-49/345", "answer_type": "rational", "kind": "expression", "math_text": "(-2 + (-96)) / 690", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -96, \"c\": 690}", "seed": "8964492408163608999", "semantic_fingerprint": "sha256:ce265d70cf611f35e67b9061029b39a8624225f6b59ebf35f922b2943aebd76c", "generator_version": "3.0"}
{"id": "v3_test_id_00003744", "prompt": "What is 187 / 6 * (-2)?", "solution_steps": ["Divide: 187 / 6 = 187/6", "Multiply: (187/6) * (-2) = -187/3"], "final_answer": "-187/3", "answer_type": "rational", "kind": "expression", "math_text": "187 / 6 * (-2)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 187, \"b\": 6, \"c\": -2}", "seed": "5591423956711073014", "semantic_fingerprint": "sha256:c0401fbc46efd51eb89ebd1f27b6f81c45e2c69f3b1f746b815104fa41bc74a8", "generator_version": "3.0"}
{"id": "v3_test_id_00003745", "prompt": "Solve the equation -5(x - 57) - 4 = 11x + 313 for x.", "solution_steps": ["Expand: -5x + 285 - 4 = 11x + 313", "Combine constants: -5x + 281 = 11x + 313", "Subtract 11x from both sides: -16x + 281 = 313", "Subtract 281 from both sides: -16x = 32", "Divide both sides by -16: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 57) - 4 = 11x + 313", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 57, \"c\": 4, \"d\": 11, \"f\": 313, \"x\": -2}", "seed": "4834593859917265216", "semantic_fingerprint": "sha256:3a3c39c6592e5c1614f2fda2374299596f7e4e6f573121330e7ed131a86473c6", "generator_version": "3.0"}
{"id": "v3_test_id_00003746", "prompt": "Solve the equation 7x - 566 = -2x + 7 for x.", "solution_steps": ["Add 2x to both sides: 9x - 566 = 7", "Add 566 to both sides: 9x = 573", "Divide both sides by 9: x = 191/3"], "final_answer": "191/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x - 566 = -2x + 7", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 566, \"c\": -2, \"d\": 7}", "seed": "2514277108083927348", "semantic_fingerprint": "sha256:be2490e622c8a1c5d98b5079ca323a0dbe0c5074113a53df66024a793d8f837c", "generator_version": "3.0"}
{"id": "v3_test_id_00003747", "prompt": "Solve the equation 9x - 63 = 2x for x.", "solution_steps": ["Subtract 2x from both sides: 7x - 63 = 0", "Add 63 to both sides: 7x = 63", "Divide both sides by 7: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 63 = 2x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"d\": -63, \"x\": 9}", "seed": "12778003924332199835", "semantic_fingerprint": "sha256:aa786dbe83234ccd89d70bdb93ea1299c3d2b266d6e59ddd4ddf2f0296d104de", "generator_version": "3.0"}
{"id": "v3_test_id_00003748", "prompt": "Calculate: -830 - 5 - (421 + 739 / (-393 / 78))", "solution_steps": ["Subtract: -830 - 5 = -835", "Divide: -393 / 78 = -131/26", "Divide: 739 / (-131/26) = -19214/131", "Add: 421 + (-19214/131) = 35937/131", "Subtract: -835 - 35937/131 = -145322/131"], "final_answer": "-145322/131", "answer_type": "rational", "kind": "expression", "math_text": "-830 - 5 - (421 + 739 / (-393 / 78))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (+ n (/ n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -830, \"b\": 5, \"c\": 421, \"d\": 739, \"e\": -393, \"f\": 78}", "seed": "3033401520162100504", "semantic_fingerprint": "sha256:d5ed17ed3429da0c20496c52bdf14468399484f780d2c58b2950e4cc4513681c", "generator_version": "3.0"}
{"id": "v3_test_id_00003749", "prompt": "Solve the equation 9x - 90 = x + 14 for x.", "solution_steps": ["Subtract x from both sides: 8x - 90 = 14", "Add 90 to both sides: 8x = 104", "Divide both sides by 8: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 90 = x + 14", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 90, \"d\": 14, \"x\": 13}", "seed": "8569293086271433371", "semantic_fingerprint": "sha256:e9b67a5976a3e74a710b960416eda53904db5c2e3182597e5bcae69fa0eb44a6", "generator_version": "3.0"}
{"id": "v3_test_id_00003750", "prompt": "Calculate: 886 / 4 - 16 / (-94)", "solution_steps": ["Divide: 886 / 4 = 443/2", "Divide: 16 / (-94) = -8/47", "Subtract: 443/2 - (-8/47) = 20837/94"], "final_answer": "20837/94", "answer_type": "rational", "kind": "expression", "math_text": "886 / 4 - 16 / (-94)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 886, \"b\": 4, \"c\": 16, \"d\": -94}", "seed": "6479944204157801954", "semantic_fingerprint": "sha256:c94a4518a5b3c84bded8f3b3354cdcfa5b2d57802a93e39be5f5b9920e4be68b", "generator_version": "3.0"}
{"id": "v3_test_id_00003751", "prompt": "Calculate: 703 / (-3)", "solution_steps": ["Divide: 703 / (-3) = -703/3"], "final_answer": "-703/3", "answer_type": "rational", "kind": "expression", "math_text": "703 / (-3)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 703, \"b\": -3}", "seed": "6380745983707988330", "semantic_fingerprint": "sha256:bde80e8c83db3943e1dcb6de9434ee50728025c834566438a1112ed528e78c77", "generator_version": "3.0"}
{"id": "v3_test_id_00003752", "prompt": "Calculate: 9 / (-7 + 966) * (-890)", "solution_steps": ["Add: -7 + 966 = 959", "Divide: 9 / 959 = 9/959", "Multiply: (9/959) * (-890) = -8010/959"], "final_answer": "-8010/959", "answer_type": "rational", "kind": "expression", "math_text": "9 / (-7 + 966) * (-890)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -7, \"c\": 966, \"d\": -890}", "seed": "7662784200677786696", "semantic_fingerprint": "sha256:b161b365e2507234b7ab10308272fa2e0c8d38e83742d43aef33f95768559d56", "generator_version": "3.0"}
{"id": "v3_test_id_00003753", "prompt": "Compute: -6 * (14 * (-48) + 20)", "solution_steps": ["Multiply: 14 * (-48) = -672", "Add: -672 + 20 = -652", "Multiply: -6 * (-652) = 3912"], "final_answer": "3912", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (14 * (-48) + 20)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 14, \"c\": -48, \"d\": 20}", "seed": "13386159219467823340", "semantic_fingerprint": "sha256:7e474b305f62dba439bd7a14c89c73050b96e8358175511a65617a5ce53c0d1e", "generator_version": "3.0"}
{"id": "v3_test_id_00003754", "prompt": "Compute: -20 - 8 + (-428 + 74)", "solution_steps": ["Subtract: -20 - 8 = -28", "Add: -428 + 74 = -354", "Add: -28 + (-354) = -382"], "final_answer": "-382", "answer_type": "integer", "kind": "expression", "math_text": "-20 - 8 + (-428 + 74)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": 8, \"c\": -428, \"d\": 74}", "seed": "18000682335212957478", "semantic_fingerprint": "sha256:46dce50c36c077fac34de07c129084cdd0165011615a719c204715e62eaff6a8", "generator_version": "3.0"}
{"id": "v3_test_id_00003755", "prompt": "Evaluate: -3 / (-596 / (-8))", "solution_steps": ["Divide: -596 / (-8) = 149/2", "Divide: -3 / (149/2) = -6/149"], "final_answer": "-6/149", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-596 / (-8))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -596, \"c\": -8}", "seed": "15876225172849435341", "semantic_fingerprint": "sha256:afd36eb56a51262725ce6e890887974741f6020152c8560fc2e13003c3ddcb3f", "generator_version": "3.0"}
{"id": "v3_test_id_00003756", "prompt": "Calculate: -7 - (-6) * 3", "solution_steps": ["Multiply: -6 * 3 = -18", "Subtract: -7 - (-18) = 11"], "final_answer": "11", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (-6) * 3", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -6, \"c\": 3}", "seed": "3616594275650767177", "semantic_fingerprint": "sha256:9062cb13535b74b98e7d4d0a9599607f1eb653802371af7179e7b19b81639759", "generator_version": "3.0"}
{"id": "v3_test_id_00003757", "prompt": "Solve the equation 8x = x for x.", "solution_steps": ["Subtract x from both sides: 7x = 0", "Divide both sides by 7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8}", "seed": "5002209693795040308", "semantic_fingerprint": "sha256:eb55c6e5ef827aa1c1febba27aeae1089521ce88e2453bd8c4356588e0bc540c", "generator_version": "3.0"}
{"id": "v3_test_id_00003758", "prompt": "Solve the equation -3(x + 1) - 258 = 5(x + 99) - 804 for x.", "solution_steps": ["Expand: -3x - 3 - 258 = 5(x + 99) - 804", "Expand: -3x - 3 - 258 = 5x + 495 - 804", "Combine constants: -3x - 261 = 5x + 495 - 804", "Combine constants: -3x - 261 = 5x - 309", "Subtract 5x from both sides: -8x - 261 = -309", "Add 261 to both sides: -8x = -48", "Divide both sides by -8: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 1) - 258 = 5(x + 99) - 804", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 1, \"c\": 258, \"d\": 5, \"e\": 99, \"g\": -804, \"x\": 6}", "seed": "12734144504754174845", "semantic_fingerprint": "sha256:aa29a33449daceb0e679c32341db6f29f2dd1f5adae58028944d3c77cecf9267", "generator_version": "3.0"}
{"id": "v3_test_id_00003759", "prompt": "Solve the equation 5(x + 49) - 180 = -2(x - 85) for x.", "solution_steps": ["Expand: 5x + 245 - 180 = -2(x - 85)", "Expand: 5x + 245 - 180 = -2x + 170", "Combine constants: 5x + 65 = -2x + 170", "Add 2x to both sides: 7x + 65 = 170", "Subtract 65 from both sides: 7x = 105", "Divide both sides by 7: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 49) - 180 = -2(x - 85)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 49, \"c\": -2, \"d\": 85, \"f\": -180, \"x\": 15}", "seed": "17927056731820141416", "semantic_fingerprint": "sha256:58a46db9f5e5938b4796b9d48f100073314b492fb9e87651a0888e5a5a062c83", "generator_version": "3.0"}
{"id": "v3_test_id_00003760", "prompt": "Calculate: (86 - (-942)) * ((-44 - (-866)) / 533)", "solution_steps": ["Subtract: 86 - (-942) = 1028", "Subtract: -44 - (-866) = 822", "Divide: 822 / 533 = 822/533", "Multiply: 1028 * (822/533) = 845016/533"], "final_answer": "845016/533", "answer_type": "rational", "kind": "expression", "math_text": "(86 - (-942)) * ((-44 - (-866)) / 533)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": -942, \"c\": -44, \"d\": -866, \"e\": 533}", "seed": "16802117154037510142", "semantic_fingerprint": "sha256:04ee2cb88368b15c1c3e097e784da8f6c1048965aa9435beb11c9134f783ce14", "generator_version": "3.0"}
{"id": "v3_test_id_00003761", "prompt": "Solve for x: 10(x + 6) = x + 6", "solution_steps": ["Expand: 10x + 60 = x + 6", "Subtract x from both sides: 9x + 60 = 6", "Subtract 60 from both sides: 9x = -54", "Divide both sides by 9: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 6) = x + 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 6, \"c\": 6}", "seed": "4339316889495342384", "semantic_fingerprint": "sha256:53ef69ad4f6daf6cb44e4c0fbdeb4f2b56d323f28bd02fb465cfbcf8b6a4ff1e", "generator_version": "3.0"}
{"id": "v3_test_id_00003762", "prompt": "What value of x satisfies 3(x - 85) - 85 = -346?", "solution_steps": ["Expand: 3x - 255 - 85 = -346", "Combine constants: 3x - 340 = -346", "Add 340 to both sides: 3x = -6", "Divide both sides by 3: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 85) - 85 = -346", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 85, \"c\": 85, \"e\": -346, \"x\": -2}", "seed": "7688857043667209087", "semantic_fingerprint": "sha256:8b39b2bedc006d3c31535c9614fd3070b398b7527d1ed6a1d12e3b673f98902e", "generator_version": "3.0"}
{"id": "v3_test_id_00003763", "prompt": "What value of x satisfies 9x = -7(x - 5)?", "solution_steps": ["Expand: 9x = -7x + 35", "Add 7x to both sides: 16x = 35", "Divide both sides by 16: x = 35/16"], "final_answer": "35/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x = -7(x - 5)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -7, \"c\": 5}", "seed": "7460149033053500682", "semantic_fingerprint": "sha256:14bb1de1ae3e2774687336463d3751b22254ea8b6644eba32746a27a430cebeb", "generator_version": "3.0"}
{"id": "v3_test_id_00003764", "prompt": "Compute: 179 - (-77) - 9 * 1 + 6", "solution_steps": ["Subtract: 179 - (-77) = 256", "Multiply: 9 * 1 = 9", "Subtract: 256 - 9 = 247", "Add: 247 + 6 = 253"], "final_answer": "253", "answer_type": "integer", "kind": "expression", "math_text": "179 - (-77) - 9 * 1 + 6", "variable": null, "family": "expression_4op", "shape": "(+ (- (- n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 179, \"b\": -77, \"c\": 9, \"d\": 1, \"e\": 6}", "seed": "9519179980796492275", "semantic_fingerprint": "sha256:0b1dfffbb93fdac99fddd49cb641deeb36b48e81ec09a862a8d59f7f0e86499a", "generator_version": "3.0"}
{"id": "v3_test_id_00003765", "prompt": "Compute: -6 * (-3 * 55 + 2 * (-26)) + 4", "solution_steps": ["Multiply: -3 * 55 = -165", "Multiply: 2 * (-26) = -52", "Add: -165 + (-52) = -217", "Multiply: -6 * (-217) = 1302", "Add: 1302 + 4 = 1306"], "final_answer": "1306", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-3 * 55 + 2 * (-26)) + 4", "variable": null, "family": "expression_5op", "shape": "(+ (* n (+ (* n n) (* n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -3, \"c\": 55, \"d\": 2, \"e\": -26, \"f\": 4}", "seed": "14945723417628929933", "semantic_fingerprint": "sha256:c8da3dd3244014179c13be714d6e3bab8aa08302444d0b0ed3579766cf7d99b0", "generator_version": "3.0"}
{"id": "v3_test_id_00003766", "prompt": "What is (58 - 241 + (-7)) * (40 - (-722))?", "solution_steps": ["Subtract: 58 - 241 = -183", "Add: -183 + (-7) = -190", "Subtract: 40 - (-722) = 762", "Multiply: -190 * 762 = -144780"], "final_answer": "-144780", "answer_type": "integer", "kind": "expression", "math_text": "(58 - 241 + (-7)) * (40 - (-722))", "variable": null, "family": "expression_4op", "shape": "(* (+ (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": 241, \"c\": -7, \"d\": 40, \"e\": -722}", "seed": "14661825516437494249", "semantic_fingerprint": "sha256:162fcde1ece191713920def0bb52047ee91c933339a0e572a6a4b3c73030edca", "generator_version": "3.0"}
{"id": "v3_test_id_00003767", "prompt": "What value of x satisfies x = -4x - 12?", "solution_steps": ["Add 4x to both sides: 5x = -12", "Divide both sides by 5: x = -12/5"], "final_answer": "-12/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -4x - 12", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 12}", "seed": "17490083771375169410", "semantic_fingerprint": "sha256:e0fb96ad84f9dd9130b5d57379ce21b609bbd1b06a0c0b551d3a67dca3a8f306", "generator_version": "3.0"}
{"id": "v3_test_id_00003768", "prompt": "Calculate: -7 * (-91 + 50) + (74 - 1)", "solution_steps": ["Add: -91 + 50 = -41", "Multiply: -7 * (-41) = 287", "Subtract: 74 - 1 = 73", "Add: 287 + 73 = 360"], "final_answer": "360", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (-91 + 50) + (74 - 1)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -91, \"c\": 50, \"d\": 74, \"e\": 1}", "seed": "14630879088263403234", "semantic_fingerprint": "sha256:315d94202ba865c034e8cce3753dcd730133f79ee51476834235587a67947092", "generator_version": "3.0"}
{"id": "v3_test_id_00003769", "prompt": "Compute: 9 + (-42) + (-32 - 71) * (38 - 805)", "solution_steps": ["Add: 9 + (-42) = -33", "Subtract: -32 - 71 = -103", "Subtract: 38 - 805 = -767", "Multiply: -103 * (-767) = 79001", "Add: -33 + 79001 = 78968"], "final_answer": "78968", "answer_type": "integer", "kind": "expression", "math_text": "9 + (-42) + (-32 - 71) * (38 - 805)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (* (- n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -42, \"c\": -32, \"d\": 71, \"e\": 38, \"f\": 805}", "seed": "2553919859198458696", "semantic_fingerprint": "sha256:568fd4939a75fb0336de25707f0e82e721797237593c86d561ce71ffe2c3b718", "generator_version": "3.0"}
{"id": "v3_test_id_00003770", "prompt": "Solve the equation 12x + 5 = 7(x + 93) + 432 for x.", "solution_steps": ["Expand: 12x + 5 = 7x + 651 + 432", "Combine constants: 12x + 5 = 7x + 1083", "Subtract 7x from both sides: 5x + 5 = 1083", "Subtract 5 from both sides: 5x = 1078", "Divide both sides by 5: x = 1078/5"], "final_answer": "1078/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x + 5 = 7(x + 93) + 432", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": 7, \"d\": 93, \"e\": 432}", "seed": "12249309762287094557", "semantic_fingerprint": "sha256:3440c256605283505fecc2dc371d2088e5b7b265ef7ff85c57bfa9e3937c001d", "generator_version": "3.0"}
{"id": "v3_test_id_00003771", "prompt": "What is -17 * (-83)?", "solution_steps": ["Multiply: -17 * (-83) = 1411"], "final_answer": "1411", "answer_type": "integer", "kind": "expression", "math_text": "-17 * (-83)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": -83}", "seed": "1224818296037973707", "semantic_fingerprint": "sha256:332e0e9a47dda99ffcabc18c98de104a8966d29e8137a8cdbda6c3d9975c7dd1", "generator_version": "3.0"}
{"id": "v3_test_id_00003772", "prompt": "Solve the equation 9x - 2 = 6(x - 71) - 361 for x.", "solution_steps": ["Expand: 9x - 2 = 6x - 426 - 361", "Combine constants: 9x - 2 = 6x - 787", "Subtract 6x from both sides: 3x - 2 = -787", "Add 2 to both sides: 3x = -785", "Divide both sides by 3: x = -785/3"], "final_answer": "-785/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x - 2 = 6(x - 71) - 361", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": 6, \"d\": 71, \"e\": 361}", "seed": "2846476360769337910", "semantic_fingerprint": "sha256:575fa34c20ee178afc70a11b28ec1e8749e325c36f8b6742a8b974073e321ae6", "generator_version": "3.0"}
{"id": "v3_test_id_00003773", "prompt": "What is 950 * (-47) - (-5)?", "solution_steps": ["Multiply: 950 * (-47) = -44650", "Subtract: -44650 - (-5) = -44645"], "final_answer": "-44645", "answer_type": "integer", "kind": "expression", "math_text": "950 * (-47) - (-5)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 950, \"b\": -47, \"c\": -5}", "seed": "9660135426870514565", "semantic_fingerprint": "sha256:9f4ced699a82c6cbf2677d0e72d82061f8c2773302e886bf2a2b768b2ec33f42", "generator_version": "3.0"}
{"id": "v3_test_id_00003774", "prompt": "Solve the equation 3x = -3(x - 3) for x.", "solution_steps": ["Expand: 3x = -3x + 9", "Add 3x to both sides: 6x = 9", "Divide both sides by 6: x = 3/2"], "final_answer": "3/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x = -3(x - 3)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -3, \"c\": 3}", "seed": "17732519644291200624", "semantic_fingerprint": "sha256:1a4ad60fd9ceac9347b457b6319c82769ee03a3ec916991679a13960781b9357", "generator_version": "3.0"}
{"id": "v3_test_id_00003775", "prompt": "Calculate: 69 / ((-2 - (9 - (-5) + (-8))) / 14)", "solution_steps": ["Subtract: 9 - (-5) = 14", "Add: 14 + (-8) = 6", "Subtract: -2 - 6 = -8", "Divide: -8 / 14 = -4/7", "Divide: 69 / (-4/7) = -483/4"], "final_answer": "-483/4", "answer_type": "rational", "kind": "expression", "math_text": "69 / ((-2 - (9 - (-5) + (-8))) / 14)", "variable": null, "family": "expression_5op", "shape": "(/ n (/ (- n (+ (- n n) n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": -2, \"c\": 9, \"d\": -5, \"e\": -8, \"f\": 14}", "seed": "4558843590112785502", "semantic_fingerprint": "sha256:b5f44cbb38e2052bf2659d5e32d2d17cd36d852c2cc695a77ce0f8fabadfc272", "generator_version": "3.0"}
{"id": "v3_test_id_00003776", "prompt": "Evaluate: -45 - 4 * (-9)", "solution_steps": ["Multiply: 4 * (-9) = -36", "Subtract: -45 - (-36) = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "expression", "math_text": "-45 - 4 * (-9)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": 4, \"c\": -9}", "seed": "16124356007532487216", "semantic_fingerprint": "sha256:57ab7af665e336029689f6f3706126bd99dc8873e5e3d405baa22843f459afc1", "generator_version": "3.0"}
{"id": "v3_test_id_00003777", "prompt": "Solve the equation 10x = -50 for x.", "solution_steps": ["Divide both sides by 10: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = -50", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 10, \"c\": -50, \"x\": -5}", "seed": "5465940944379925606", "semantic_fingerprint": "sha256:20f0db89d6859abcca8cb78da3eb24eefcfd01ed72722c9b1b050077d849169f", "generator_version": "3.0"}
{"id": "v3_test_id_00003778", "prompt": "Compute: 0 + (-5) + (-54) - (-9) - (-6)", "solution_steps": ["Add: 0 + (-5) = -5", "Add: -5 + (-54) = -59", "Subtract: -59 - (-9) = -50", "Subtract: -50 - (-6) = -44"], "final_answer": "-44", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-5) + (-54) - (-9) - (-6)", "variable": null, "family": "expression_4op", "shape": "(- (- (+ (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -5, \"c\": -54, \"d\": -9, \"e\": -6}", "seed": "8687909292712772213", "semantic_fingerprint": "sha256:fdbf970f5c51df24284b92595430091001053b4f35721efdcf1942affc18da0d", "generator_version": "3.0"}
{"id": "v3_test_id_00003779", "prompt": "Solve for x: -10x - 6 = 104", "solution_steps": ["Add 6 to both sides: -10x = 110", "Divide both sides by -10: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x - 6 = 104", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 6, \"d\": 104, \"x\": -11}", "seed": "3927783166738507788", "semantic_fingerprint": "sha256:a4743a023fbb0c03e85500ed90f1e5ef9b654864e82449d7dd1272e0ec3d4d32", "generator_version": "3.0"}
{"id": "v3_test_id_00003780", "prompt": "What is -21 / 584 * (-36) / ((-3 + 90) / (-3))?", "solution_steps": ["Divide: -21 / 584 = -21/584", "Multiply: (-21/584) * (-36) = 189/146", "Add: -3 + 90 = 87", "Divide: 87 / (-3) = -29", "Divide: (189/146) / (-29) = -189/4234"], "final_answer": "-189/4234", "answer_type": "rational", "kind": "expression", "math_text": "-21 / 584 * (-36) / ((-3 + 90) / (-3))", "variable": null, "family": "expression_5op", "shape": "(/ (* (/ n n) n) (/ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": 584, \"c\": -36, \"d\": -3, \"e\": 90, \"f\": -3}", "seed": "13646480072698660488", "semantic_fingerprint": "sha256:2ae4f53b816d671d7959119912684f2cf4e79484e84a55643de48d268e5df8b4", "generator_version": "3.0"}
{"id": "v3_test_id_00003781", "prompt": "Compute: (68 + 10) / (-130)", "solution_steps": ["Add: 68 + 10 = 78", "Divide: 78 / (-130) = -3/5"], "final_answer": "-3/5", "answer_type": "rational", "kind": "expression", "math_text": "(68 + 10) / (-130)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": 10, \"c\": -130}", "seed": "15831803444954071726", "semantic_fingerprint": "sha256:53f6f076df8ce3de1cd0ef67e4bf03a4d13a14fb2aea038d25ad1802d510832b", "generator_version": "3.0"}
{"id": "v3_test_id_00003782", "prompt": "What value of x satisfies -2(x - 8) = 7(x - 68) + 564?", "solution_steps": ["Expand: -2x + 16 = 7(x - 68) + 564", "Expand: -2x + 16 = 7x - 476 + 564", "Combine constants: -2x + 16 = 7x + 88", "Subtract 7x from both sides: -9x + 16 = 88", "Subtract 16 from both sides: -9x = 72", "Divide both sides by -9: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 8) = 7(x - 68) + 564", "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\": 7, \"d\": 68, \"f\": 564, \"x\": -8}", "seed": "16403991121762214501", "semantic_fingerprint": "sha256:c8ef17cfe1f5cc9e3fd2fd9b1f8145080aefb6c21f06b6ff8ba11b39d0c971fa", "generator_version": "3.0"}
{"id": "v3_test_id_00003783", "prompt": "Calculate: 7 + (-70 - 28 - 11)", "solution_steps": ["Subtract: -70 - 28 = -98", "Subtract: -98 - 11 = -109", "Add: 7 + (-109) = -102"], "final_answer": "-102", "answer_type": "integer", "kind": "expression", "math_text": "7 + (-70 - 28 - 11)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -70, \"c\": 28, \"d\": 11}", "seed": "5242726647298033871", "semantic_fingerprint": "sha256:f6fd68b9446fbe2697e37b23d8b0c76f5b191c4c357a15df515242cc03685382", "generator_version": "3.0"}
{"id": "v3_test_id_00003784", "prompt": "Solve the equation -8(x - 1) = 12(x + 5) for x.", "solution_steps": ["Expand: -8x + 8 = 12(x + 5)", "Expand: -8x + 8 = 12x + 60", "Subtract 12x from both sides: -20x + 8 = 60", "Subtract 8 from both sides: -20x = 52", "Divide both sides by -20: x = -13/5"], "final_answer": "-13/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x - 1) = 12(x + 5)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 1, \"c\": 12, \"d\": 5}", "seed": "6683047839774172939", "semantic_fingerprint": "sha256:55415d75c573c3aa56cc0a23356aa5a0cd5e118ff7bec9a0260eaf52ec160146", "generator_version": "3.0"}
{"id": "v3_test_id_00003785", "prompt": "What is -63 / (-82) + (6 - 0)?", "solution_steps": ["Divide: -63 / (-82) = 63/82", "Subtract: 6 - 0 = 6", "Add: 63/82 + 6 = 555/82"], "final_answer": "555/82", "answer_type": "rational", "kind": "expression", "math_text": "-63 / (-82) + (6 - 0)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": -82, \"c\": 6, \"d\": 0}", "seed": "14533017967181472086", "semantic_fingerprint": "sha256:a68d318caea6cfee8f94621d56f13ca59994b549388d34a87b8aabbdf0792d99", "generator_version": "3.0"}
{"id": "v3_test_id_00003786", "prompt": "What is (80 - (-48) * 55) / 83 / (-19)?", "solution_steps": ["Multiply: -48 * 55 = -2640", "Subtract: 80 - (-2640) = 2720", "Divide: 2720 / 83 = 2720/83", "Divide: (2720/83) / (-19) = -2720/1577"], "final_answer": "-2720/1577", "answer_type": "rational", "kind": "expression", "math_text": "(80 - (-48) * 55) / 83 / (-19)", "variable": null, "family": "expression_4op", "shape": "(/ (/ (- n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": -48, \"c\": 55, \"d\": 83, \"e\": -19}", "seed": "14591421020216761081", "semantic_fingerprint": "sha256:977ffac274b2890bacd9bb8db9772726ee44973bb275f2482e259858537934c6", "generator_version": "3.0"}
{"id": "v3_test_id_00003787", "prompt": "Compute: 0 / (36 / (15 + (-567)))", "solution_steps": ["Add: 15 + (-567) = -552", "Divide: 36 / (-552) = -3/46", "Divide: 0 / (-3/46) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (36 / (15 + (-567)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 36, \"c\": 15, \"d\": -567}", "seed": "16635092461883576951", "semantic_fingerprint": "sha256:ced635aea341dd5ac6ead0fdb9f53b557e2fb4787ed634fa149a1500eb6647e3", "generator_version": "3.0"}
{"id": "v3_test_id_00003788", "prompt": "What value of x satisfies 9(x - 16) = -8(x + 93)?", "solution_steps": ["Expand: 9x - 144 = -8(x + 93)", "Expand: 9x - 144 = -8x - 744", "Add 8x to both sides: 17x - 144 = -744", "Add 144 to both sides: 17x = -600", "Divide both sides by 17: x = -600/17"], "final_answer": "-600/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 16) = -8(x + 93)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 16, \"c\": -8, \"d\": 93}", "seed": "7700241897710497007", "semantic_fingerprint": "sha256:308195f366a63a1bfc8c6577c54b876d473f1ea578b68fb027aa5a29ecf2b06a", "generator_version": "3.0"}
{"id": "v3_test_id_00003789", "prompt": "Calculate: -92 / 12 - (1 + 16)", "solution_steps": ["Divide: -92 / 12 = -23/3", "Add: 1 + 16 = 17", "Subtract: -23/3 - 17 = -74/3"], "final_answer": "-74/3", "answer_type": "rational", "kind": "expression", "math_text": "-92 / 12 - (1 + 16)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": 12, \"c\": 1, \"d\": 16}", "seed": "13933946402995427018", "semantic_fingerprint": "sha256:31a8ec430263ef550330e30179e77a955b3e7d0421a1fec74aeb6b33340a4308", "generator_version": "3.0"}
{"id": "v3_test_id_00003790", "prompt": "What is -62 + (-629 - 7 + (-326))?", "solution_steps": ["Subtract: -629 - 7 = -636", "Add: -636 + (-326) = -962", "Add: -62 + (-962) = -1024"], "final_answer": "-1024", "answer_type": "integer", "kind": "expression", "math_text": "-62 + (-629 - 7 + (-326))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": -629, \"c\": 7, \"d\": -326}", "seed": "224145074228349616", "semantic_fingerprint": "sha256:8697ebe80fe2005cced3a86cc6e5a604796bf2ea612aaac01fdd65e8b79758b5", "generator_version": "3.0"}
{"id": "v3_test_id_00003791", "prompt": "Evaluate: 87 * (14 / 39) + 8", "solution_steps": ["Divide: 14 / 39 = 14/39", "Multiply: 87 * (14/39) = 406/13", "Add: 406/13 + 8 = 510/13"], "final_answer": "510/13", "answer_type": "rational", "kind": "expression", "math_text": "87 * (14 / 39) + 8", "variable": null, "family": "expression_3op", "shape": "(+ (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 87, \"b\": 14, \"c\": 39, \"d\": 8}", "seed": "17068103743514805899", "semantic_fingerprint": "sha256:a56ad556ff5b3ffff6e7a24de53feba2203748eaea00ac070c17f93630b4b140", "generator_version": "3.0"}
{"id": "v3_test_id_00003792", "prompt": "Find x: x + 17 = 3(x - 6) + 47", "solution_steps": ["Expand: x + 17 = 3x - 18 + 47", "Combine constants: x + 17 = 3x + 29", "Subtract 3x from both sides: -2x + 17 = 29", "Subtract 17 from both sides: -2x = 12", "Divide both sides by -2: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 17 = 3(x - 6) + 47", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": 3, \"c\": 6, \"e\": 47, \"x\": -6}", "seed": "17010760252984900780", "semantic_fingerprint": "sha256:79e6c76831b82c9968beca72712f8ff2f8dcf518014e14269228b1fe900d9d3b", "generator_version": "3.0"}
{"id": "v3_test_id_00003793", "prompt": "Compute: -86 - 84 * (87 * (-1))", "solution_steps": ["Multiply: 87 * (-1) = -87", "Multiply: 84 * (-87) = -7308", "Subtract: -86 - (-7308) = 7222"], "final_answer": "7222", "answer_type": "integer", "kind": "expression", "math_text": "-86 - 84 * (87 * (-1))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": 84, \"c\": 87, \"d\": -1}", "seed": "14723218546841486552", "semantic_fingerprint": "sha256:29ee6dc0e283d6ec3679ed868a9b8a603947610883c84285313b8585390aa71c", "generator_version": "3.0"}
{"id": "v3_test_id_00003794", "prompt": "Compute: 67 * (-931)", "solution_steps": ["Multiply: 67 * (-931) = -62377"], "final_answer": "-62377", "answer_type": "integer", "kind": "expression", "math_text": "67 * (-931)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": -931}", "seed": "9519236282906238531", "semantic_fingerprint": "sha256:de03b2ad5d36c4017d5ee93b8852b5b6de77f83d6330ddc3767c314dd9cf3419", "generator_version": "3.0"}
{"id": "v3_test_id_00003795", "prompt": "Find x: 7(x + 1) = x", "solution_steps": ["Expand: 7x + 7 = x", "Subtract x from both sides: 6x + 7 = 0", "Subtract 7 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": "7(x + 1) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 1}", "seed": "577265261154836162", "semantic_fingerprint": "sha256:742fe435b1be96a4c2046940e6a4bb5ab3a391dbc64d192e77a0e6425f3bb938", "generator_version": "3.0"}
{"id": "v3_test_id_00003796", "prompt": "Evaluate: -5 - 2 - (-45)", "solution_steps": ["Subtract: -5 - 2 = -7", "Subtract: -7 - (-45) = 38"], "final_answer": "38", "answer_type": "integer", "kind": "expression", "math_text": "-5 - 2 - (-45)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 2, \"c\": -45}", "seed": "17244895626736109344", "semantic_fingerprint": "sha256:4ed2eabe05b6c2f9bfe45280d530bb913786eab979f811524929dbbc47717bc3", "generator_version": "3.0"}
{"id": "v3_test_id_00003797", "prompt": "Evaluate: -6 * (-750) / (2 + (-415 - 77))", "solution_steps": ["Multiply: -6 * (-750) = 4500", "Subtract: -415 - 77 = -492", "Add: 2 + (-492) = -490", "Divide: 4500 / (-490) = -450/49"], "final_answer": "-450/49", "answer_type": "rational", "kind": "expression", "math_text": "-6 * (-750) / (2 + (-415 - 77))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -750, \"c\": 2, \"d\": -415, \"e\": 77}", "seed": "7979022232433916527", "semantic_fingerprint": "sha256:5486ca8d32f73cdb89f08a946b565631504c9035b6054868ade6005bcb593ddf", "generator_version": "3.0"}
{"id": "v3_test_id_00003798", "prompt": "Compute: -3 * (-853) + (8 + (7 - 199 + 35))", "solution_steps": ["Multiply: -3 * (-853) = 2559", "Subtract: 7 - 199 = -192", "Add: -192 + 35 = -157", "Add: 8 + (-157) = -149", "Add: 2559 + (-149) = 2410"], "final_answer": "2410", "answer_type": "integer", "kind": "expression", "math_text": "-3 * (-853) + (8 + (7 - 199 + 35))", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (+ n (+ (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -853, \"c\": 8, \"d\": 7, \"e\": 199, \"f\": 35}", "seed": "10414609179079880450", "semantic_fingerprint": "sha256:d96858f8db44355cfc0872c1e2422e367cb9a9200bade5c1842547388bd04df1", "generator_version": "3.0"}
{"id": "v3_test_id_00003799", "prompt": "Find x: x = 11(x - 30) + 440", "solution_steps": ["Expand: x = 11x - 330 + 440", "Combine constants: x = 11x + 110", "Subtract 11x from both sides: -10x = 110", "Divide both sides by -10: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 11(x - 30) + 440", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 30, \"d\": 440, \"x\": -11}", "seed": "10615108883106114254", "semantic_fingerprint": "sha256:e83637dc1308a69a52e916ef3fcdc8ec11c0debb67bd7f75cbb0930ce3e3127e", "generator_version": "3.0"}
{"id": "v3_test_id_00003800", "prompt": "Calculate: -417 - (-8) - 653", "solution_steps": ["Subtract: -417 - (-8) = -409", "Subtract: -409 - 653 = -1062"], "final_answer": "-1062", "answer_type": "integer", "kind": "expression", "math_text": "-417 - (-8) - 653", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -417, \"b\": -8, \"c\": 653}", "seed": "1748074984560189881", "semantic_fingerprint": "sha256:f191e293e75519fb467d30305fe774b9412f22347b6e8744bfad1d1881be09b7", "generator_version": "3.0"}
{"id": "v3_test_id_00003801", "prompt": "Evaluate: 48 * (-35 - 3 / (-4))", "solution_steps": ["Divide: 3 / (-4) = -3/4", "Subtract: -35 - (-3/4) = -137/4", "Multiply: 48 * (-137/4) = -1644"], "final_answer": "-1644", "answer_type": "integer", "kind": "expression", "math_text": "48 * (-35 - 3 / (-4))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": -35, \"c\": 3, \"d\": -4}", "seed": "9194426693512641785", "semantic_fingerprint": "sha256:2df2b90c13d67eb0fe94bafdaa7296ec0404a75da552a6de0772d59e1f8ef606", "generator_version": "3.0"}
{"id": "v3_test_id_00003802", "prompt": "What is -8 * (-77) * 898?", "solution_steps": ["Multiply: -8 * (-77) = 616", "Multiply: 616 * 898 = 553168"], "final_answer": "553168", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (-77) * 898", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -77, \"c\": 898}", "seed": "17487154063372750793", "semantic_fingerprint": "sha256:0c899632cd1555b8391e0ff7da0bba1cec1af4d9bd7372f638f13c569fcbe849", "generator_version": "3.0"}
{"id": "v3_test_id_00003803", "prompt": "Solve for x: 10x - 82 = 3(x + 3)", "solution_steps": ["Expand: 10x - 82 = 3x + 9", "Subtract 3x from both sides: 7x - 82 = 9", "Add 82 to both sides: 7x = 91", "Divide both sides by 7: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 82 = 3(x + 3)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 3, \"c\": 3, \"e\": -82, \"x\": 13}", "seed": "632926995095172296", "semantic_fingerprint": "sha256:bcb0a1909a7b9ea2432ff72e6aecd690fa479b60135cab43982d37f7ec535c3d", "generator_version": "3.0"}
{"id": "v3_test_id_00003804", "prompt": "Solve for x: x = -8(x + 71) + 667", "solution_steps": ["Expand: x = -8x - 568 + 667", "Combine constants: x = -8x + 99", "Add 8x to both sides: 9x = 99", "Divide both sides by 9: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -8(x + 71) + 667", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 71, \"d\": 667, \"x\": 11}", "seed": "1766616532855650068", "semantic_fingerprint": "sha256:4b01e9d97c0d4ae663efe8a62987ba4b324b64d1bbc4bed7158110c46f73f38f", "generator_version": "3.0"}
{"id": "v3_test_id_00003805", "prompt": "Evaluate: (-60 - (-7) - (-19)) / (-70)", "solution_steps": ["Subtract: -60 - (-7) = -53", "Subtract: -53 - (-19) = -34", "Divide: -34 / (-70) = 17/35"], "final_answer": "17/35", "answer_type": "rational", "kind": "expression", "math_text": "(-60 - (-7) - (-19)) / (-70)", "variable": null, "family": "expression_3op", "shape": "(/ (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": -7, \"c\": -19, \"d\": -70}", "seed": "5267784090688608718", "semantic_fingerprint": "sha256:02ee0ce4c275eb4862d2c3f7b5e1d44d60a2dc34cdc9520ca63f018abcb8733b", "generator_version": "3.0"}
{"id": "v3_test_id_00003806", "prompt": "Calculate: -9 / 789 - 5", "solution_steps": ["Divide: -9 / 789 = -3/263", "Subtract: -3/263 - 5 = -1318/263"], "final_answer": "-1318/263", "answer_type": "rational", "kind": "expression", "math_text": "-9 / 789 - 5", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 789, \"c\": 5}", "seed": "1000126946685278959", "semantic_fingerprint": "sha256:024746618da7635b036bc12a30e1922e8e8a2a3e73bf332caf12a6b9f9df69c3", "generator_version": "3.0"}
{"id": "v3_test_id_00003807", "prompt": "Solve for x: x = 4(x - 13) + 58", "solution_steps": ["Expand: x = 4x - 52 + 58", "Combine constants: x = 4x + 6", "Subtract 4x from both sides: -3x = 6", "Divide both sides by -3: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 4(x - 13) + 58", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 13, \"d\": 58, \"x\": -2}", "seed": "17636533243477827639", "semantic_fingerprint": "sha256:9ec6ef9b40fe6fe39e1f39e74551508b9ad40b070a0cf86a6c798ad2fc9b8c7e", "generator_version": "3.0"}
{"id": "v3_test_id_00003808", "prompt": "Calculate: -97 - (8 + (-82))", "solution_steps": ["Add: 8 + (-82) = -74", "Subtract: -97 - (-74) = -23"], "final_answer": "-23", "answer_type": "integer", "kind": "expression", "math_text": "-97 - (8 + (-82))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": 8, \"c\": -82}", "seed": "6659907926042530363", "semantic_fingerprint": "sha256:388e985077a01e9802477d7411bf546e62db11d32c546d09e632355332365787", "generator_version": "3.0"}
{"id": "v3_test_id_00003809", "prompt": "What value of x satisfies -7(x - 6) - 36 = 3(x - 40) + 8?", "solution_steps": ["Expand: -7x + 42 - 36 = 3(x - 40) + 8", "Expand: -7x + 42 - 36 = 3x - 120 + 8", "Combine constants: -7x + 6 = 3x - 120 + 8", "Combine constants: -7x + 6 = 3x - 112", "Subtract 3x from both sides: -10x + 6 = -112", "Subtract 6 from both sides: -10x = -118", "Divide both sides by -10: x = 59/5"], "final_answer": "59/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x - 6) - 36 = 3(x - 40) + 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 6, \"c\": 36, \"d\": 3, \"e\": 40, \"f\": 8}", "seed": "13976997622429903836", "semantic_fingerprint": "sha256:63cc87a8f5d09c7e8ac6209680b24bd1d9db6414054264839bcf0a83b09cce1a", "generator_version": "3.0"}
{"id": "v3_test_id_00003810", "prompt": "Calculate: 95 - (-66 + (-20 - (58 - 936))) * (-85)", "solution_steps": ["Subtract: 58 - 936 = -878", "Subtract: -20 - (-878) = 858", "Add: -66 + 858 = 792", "Multiply: 792 * (-85) = -67320", "Subtract: 95 - (-67320) = 67415"], "final_answer": "67415", "answer_type": "integer", "kind": "expression", "math_text": "95 - (-66 + (-20 - (58 - 936))) * (-85)", "variable": null, "family": "expression_5op", "shape": "(- n (* (+ n (- n (- n n))) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": -66, \"c\": -20, \"d\": 58, \"e\": 936, \"f\": -85}", "seed": "3782636771800558323", "semantic_fingerprint": "sha256:9c4f2512df5f548effbe6fb09950d859039b13a5947e2c8eedc200d8260f5cf4", "generator_version": "3.0"}
{"id": "v3_test_id_00003811", "prompt": "What value of x satisfies -9(x + 1) - 11 = -12(x - 3) - 65?", "solution_steps": ["Expand: -9x - 9 - 11 = -12(x - 3) - 65", "Expand: -9x - 9 - 11 = -12x + 36 - 65", "Combine constants: -9x - 20 = -12x + 36 - 65", "Combine constants: -9x - 20 = -12x - 29", "Add 12x to both sides: 3x - 20 = -29", "Add 20 to both sides: 3x = -9", "Divide both sides by 3: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 1) - 11 = -12(x - 3) - 65", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 1, \"c\": 11, \"d\": -12, \"e\": 3, \"g\": -65, \"x\": -3}", "seed": "3720574361532860894", "semantic_fingerprint": "sha256:3ebc871e22d713ada56b380721d97847511420f4d57043177a39067da63c95c1", "generator_version": "3.0"}
{"id": "v3_test_id_00003812", "prompt": "Compute: -76 + 74 * (56 * 59)", "solution_steps": ["Multiply: 56 * 59 = 3304", "Multiply: 74 * 3304 = 244496", "Add: -76 + 244496 = 244420"], "final_answer": "244420", "answer_type": "integer", "kind": "expression", "math_text": "-76 + 74 * (56 * 59)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": 74, \"c\": 56, \"d\": 59}", "seed": "8942193034930309650", "semantic_fingerprint": "sha256:bc74a175138c663ef68a898a072fea9e34c886315ad3c2186d231452f17be9bb", "generator_version": "3.0"}
{"id": "v3_test_id_00003813", "prompt": "What is -7 - (-862 - (-56) + 7)?", "solution_steps": ["Subtract: -862 - (-56) = -806", "Add: -806 + 7 = -799", "Subtract: -7 - (-799) = 792"], "final_answer": "792", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (-862 - (-56) + 7)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -862, \"c\": -56, \"d\": 7}", "seed": "13970373812882191480", "semantic_fingerprint": "sha256:6cc523ee523a93cb9c444acce8712e25f64168aa1493fe0d530f9592f9f4d89e", "generator_version": "3.0"}
{"id": "v3_test_id_00003814", "prompt": "What value of x satisfies -3(x - 68) = -8(x + 701) + 285?", "solution_steps": ["Expand: -3x + 204 = -8(x + 701) + 285", "Expand: -3x + 204 = -8x - 5608 + 285", "Combine constants: -3x + 204 = -8x - 5323", "Add 8x to both sides: 5x + 204 = -5323", "Subtract 204 from both sides: 5x = -5527", "Divide both sides by 5: x = -5527/5"], "final_answer": "-5527/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 68) = -8(x + 701) + 285", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 68, \"c\": -8, \"d\": 701, \"e\": 285}", "seed": "11167189382218055692", "semantic_fingerprint": "sha256:1099f98f04a0bcaa62d501f58ca518ed0c781609e0630798eb87e554d8bf0c07", "generator_version": "3.0"}
{"id": "v3_test_id_00003815", "prompt": "Evaluate: 802 + 49 * (-18) - 3", "solution_steps": ["Multiply: 49 * (-18) = -882", "Add: 802 + (-882) = -80", "Subtract: -80 - 3 = -83"], "final_answer": "-83", "answer_type": "integer", "kind": "expression", "math_text": "802 + 49 * (-18) - 3", "variable": null, "family": "expression_3op", "shape": "(- (+ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 802, \"b\": 49, \"c\": -18, \"d\": 3}", "seed": "8099356522238882575", "semantic_fingerprint": "sha256:77ee03ece319c48741a62140ac8db2641d91181a39aaf20e134457ffa55683fd", "generator_version": "3.0"}
{"id": "v3_test_id_00003816", "prompt": "Evaluate: -1 * (-19 + (-9) + (-874))", "solution_steps": ["Add: -19 + (-9) = -28", "Add: -28 + (-874) = -902", "Multiply: -1 * (-902) = 902"], "final_answer": "902", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (-19 + (-9) + (-874))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -19, \"c\": -9, \"d\": -874}", "seed": "11390637850026787934", "semantic_fingerprint": "sha256:a149a5361f7656fb1e1359111d5d6eb147c7e3f6fc47453334d8c07418cde60a", "generator_version": "3.0"}
{"id": "v3_test_id_00003817", "prompt": "Compute: -88 * (35 - (-97)) / (-7)", "solution_steps": ["Subtract: 35 - (-97) = 132", "Multiply: -88 * 132 = -11616", "Divide: -11616 / (-7) = 11616/7"], "final_answer": "11616/7", "answer_type": "rational", "kind": "expression", "math_text": "-88 * (35 - (-97)) / (-7)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": 35, \"c\": -97, \"d\": -7}", "seed": "7864506960581382186", "semantic_fingerprint": "sha256:b7719b31d20c22c2fb29af8bb9e6ef8769491507cc7e535589226cc73b774a0f", "generator_version": "3.0"}
{"id": "v3_test_id_00003818", "prompt": "Solve the equation 2(x + 23) + 8 = -3x + 59 for x.", "solution_steps": ["Expand: 2x + 46 + 8 = -3x + 59", "Combine constants: 2x + 54 = -3x + 59", "Add 3x to both sides: 5x + 54 = 59", "Subtract 54 from both sides: 5x = 5", "Divide both sides by 5: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 23) + 8 = -3x + 59", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 23, \"c\": 8, \"d\": -3, \"f\": 59, \"x\": 1}", "seed": "5267684789612457910", "semantic_fingerprint": "sha256:f279f6c9791a4249a5996891a6f6e3cea1caeabdac59227465ba5ca63c4f9b6b", "generator_version": "3.0"}
{"id": "v3_test_id_00003819", "prompt": "What is -75 * (29 * (-24))?", "solution_steps": ["Multiply: 29 * (-24) = -696", "Multiply: -75 * (-696) = 52200"], "final_answer": "52200", "answer_type": "integer", "kind": "expression", "math_text": "-75 * (29 * (-24))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": 29, \"c\": -24}", "seed": "2332284240060454692", "semantic_fingerprint": "sha256:e833c05696acfd96886f89a02a5e33cfe62c8158b59ee581fab212f2a93840ea", "generator_version": "3.0"}
{"id": "v3_test_id_00003820", "prompt": "Solve for x: -5x = 7(x - 2) + 206", "solution_steps": ["Expand: -5x = 7x - 14 + 206", "Combine constants: -5x = 7x + 192", "Subtract 7x from both sides: -12x = 192", "Divide both sides by -12: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x = 7(x - 2) + 206", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 7, \"c\": 2, \"e\": 206, \"x\": -16}", "seed": "14635230455796599318", "semantic_fingerprint": "sha256:58061e23f997c3aa525e0aee80d9436f4c8c764151fa6ee800a11d93479cde4e", "generator_version": "3.0"}
{"id": "v3_test_id_00003821", "prompt": "Evaluate: -7 / (-95) - 832 + 0", "solution_steps": ["Divide: -7 / (-95) = 7/95", "Subtract: 7/95 - 832 = -79033/95", "Add: -79033/95 + 0 = -79033/95"], "final_answer": "-79033/95", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (-95) - 832 + 0", "variable": null, "family": "expression_3op", "shape": "(+ (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -95, \"c\": 832, \"d\": 0}", "seed": "1112184404886673903", "semantic_fingerprint": "sha256:70720a77cfab4f342cf8a119de99f86278ba041004bb452318fe4badeca6e991", "generator_version": "3.0"}
{"id": "v3_test_id_00003822", "prompt": "Evaluate: -5 * (822 + 84)", "solution_steps": ["Add: 822 + 84 = 906", "Multiply: -5 * 906 = -4530"], "final_answer": "-4530", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (822 + 84)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 822, \"c\": 84}", "seed": "8962338654260659420", "semantic_fingerprint": "sha256:561c8c6a8569c290c5c019c2425a6c02ce0f565eec3ebf10dc1f07cc748b6ee1", "generator_version": "3.0"}
{"id": "v3_test_id_00003823", "prompt": "Solve for x: -5(x + 20) = x - 196", "solution_steps": ["Expand: -5x - 100 = x - 196", "Subtract x from both sides: -6x - 100 = -196", "Add 100 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 + 20) = x - 196", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 20, \"d\": -196, \"x\": 16}", "seed": "17635190931740722391", "semantic_fingerprint": "sha256:229aea9ba7890e0005740232c0463adeda4031d3169debe8949b4c1fa85a24e7", "generator_version": "3.0"}
{"id": "v3_test_id_00003824", "prompt": "Solve the equation -12(x - 137) - 24 = -10(x + 21) - 34 for x.", "solution_steps": ["Expand: -12x + 1644 - 24 = -10(x + 21) - 34", "Expand: -12x + 1644 - 24 = -10x - 210 - 34", "Combine constants: -12x + 1620 = -10x - 210 - 34", "Combine constants: -12x + 1620 = -10x - 244", "Add 10x to both sides: -2x + 1620 = -244", "Subtract 1620 from both sides: -2x = -1864", "Divide both sides by -2: x = 932"], "final_answer": "932", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 137) - 24 = -10(x + 21) - 34", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 137, \"c\": 24, \"d\": -10, \"e\": 21, \"f\": 34}", "seed": "4087909943755717993", "semantic_fingerprint": "sha256:1ffa0d2b6ba16c3f041e36add74ef3f80303d38b2124fa3e733adf6b098a4ca7", "generator_version": "3.0"}
{"id": "v3_test_id_00003825", "prompt": "What value of x satisfies 4(x + 49) - 120 = 8x?", "solution_steps": ["Expand: 4x + 196 - 120 = 8x", "Combine constants: 4x + 76 = 8x", "Subtract 8x from both sides: -4x + 76 = 0", "Subtract 76 from both sides: -4x = -76", "Divide both sides by -4: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 49) - 120 = 8x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 49, \"c\": 8, \"e\": -120, \"x\": 19}", "seed": "14875810299951880457", "semantic_fingerprint": "sha256:1e8d8976e0a5e108dfdd97ef6ac934e5f6cc8792fc4620f970b164a84795ae22", "generator_version": "3.0"}
{"id": "v3_test_id_00003826", "prompt": "Calculate: 5 + (-46 - 9) / (-80) / 8", "solution_steps": ["Subtract: -46 - 9 = -55", "Divide: -55 / (-80) = 11/16", "Divide: (11/16) / 8 = 11/128", "Add: 5 + 11/128 = 651/128"], "final_answer": "651/128", "answer_type": "rational", "kind": "expression", "math_text": "5 + (-46 - 9) / (-80) / 8", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (/ (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -46, \"c\": 9, \"d\": -80, \"e\": 8}", "seed": "13330643727189028523", "semantic_fingerprint": "sha256:deb66185514b839d75ca652b016ebd8b728ebdba5e8acbf83d1f67e2bef863ae", "generator_version": "3.0"}
{"id": "v3_test_id_00003827", "prompt": "Compute: (26 + 99) / (-6)", "solution_steps": ["Add: 26 + 99 = 125", "Divide: 125 / (-6) = -125/6"], "final_answer": "-125/6", "answer_type": "rational", "kind": "expression", "math_text": "(26 + 99) / (-6)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": 99, \"c\": -6}", "seed": "7504218374647280199", "semantic_fingerprint": "sha256:2b561ce5e05fbcac83bfb205737fcf03a635972a19749deea82586a94a53cbfd", "generator_version": "3.0"}
{"id": "v3_test_id_00003828", "prompt": "Compute: -7 / (39 - 3) * (-3)", "solution_steps": ["Subtract: 39 - 3 = 36", "Divide: -7 / 36 = -7/36", "Multiply: (-7/36) * (-3) = 7/12"], "final_answer": "7/12", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (39 - 3) * (-3)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 39, \"c\": 3, \"d\": -3}", "seed": "15729852113097358514", "semantic_fingerprint": "sha256:d072ff1632171b3f5c8e48eb275bc0ed78e4005715beb52820506b54ed664e82", "generator_version": "3.0"}
{"id": "v3_test_id_00003829", "prompt": "Evaluate: 34 + (-7) * (-25) * 12", "solution_steps": ["Multiply: -7 * (-25) = 175", "Multiply: 175 * 12 = 2100", "Add: 34 + 2100 = 2134"], "final_answer": "2134", "answer_type": "integer", "kind": "expression", "math_text": "34 + (-7) * (-25) * 12", "variable": null, "family": "expression_3op", "shape": "(+ n (* (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": -7, \"c\": -25, \"d\": 12}", "seed": "18377545498369475877", "semantic_fingerprint": "sha256:3829d46d88d3d87fe79cef07ac2791fbaf233787ead8e9cac54abfeb4eb5a3db", "generator_version": "3.0"}
{"id": "v3_test_id_00003830", "prompt": "Evaluate: -57 / ((-3 - 390) / 118)", "solution_steps": ["Subtract: -3 - 390 = -393", "Divide: -393 / 118 = -393/118", "Divide: -57 / (-393/118) = 2242/131"], "final_answer": "2242/131", "answer_type": "rational", "kind": "expression", "math_text": "-57 / ((-3 - 390) / 118)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": -3, \"c\": 390, \"d\": 118}", "seed": "5740374030733865570", "semantic_fingerprint": "sha256:81a92e3ae682321aa145ba7826e949c286d2646a53d88b0b3a7d63246e594c2e", "generator_version": "3.0"}
{"id": "v3_test_id_00003831", "prompt": "Evaluate: 10 - 79", "solution_steps": ["Subtract: 10 - 79 = -69"], "final_answer": "-69", "answer_type": "integer", "kind": "expression", "math_text": "10 - 79", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 79}", "seed": "15760342480412026632", "semantic_fingerprint": "sha256:c573f5bb1826f2a02135a9e9cc4d07bb6509bf68879fb004c1719ecbf319bd5b", "generator_version": "3.0"}
{"id": "v3_test_id_00003832", "prompt": "Compute: 0 - (-98 + (-278))", "solution_steps": ["Add: -98 + (-278) = -376", "Subtract: 0 - (-376) = 376"], "final_answer": "376", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-98 + (-278))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -98, \"c\": -278}", "seed": "7483452325698429606", "semantic_fingerprint": "sha256:53325814f95eec0e60f185c782d40e5705d74578ab6cf45630f32032f926b6c9", "generator_version": "3.0"}
{"id": "v3_test_id_00003833", "prompt": "Solve the equation -6x = -24 for x.", "solution_steps": ["Divide both sides by -6: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x = -24", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"c\": -24, \"x\": 4}", "seed": "8062438901810359649", "semantic_fingerprint": "sha256:c7b4de23ac95070cffd397a37a5521a7c38dbaadbbbe5c86d8dac1f64624f39b", "generator_version": "3.0"}
{"id": "v3_test_id_00003834", "prompt": "Compute: 463 + 72 - (1 / (-1) + (-36))", "solution_steps": ["Add: 463 + 72 = 535", "Divide: 1 / (-1) = -1", "Add: -1 + (-36) = -37", "Subtract: 535 - (-37) = 572"], "final_answer": "572", "answer_type": "integer", "kind": "expression", "math_text": "463 + 72 - (1 / (-1) + (-36))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 463, \"b\": 72, \"c\": 1, \"d\": -1, \"e\": -36}", "seed": "7260037306875651144", "semantic_fingerprint": "sha256:9ea19113e81341f48394cf7c3e82d3e4082cdf064c5bd29080bcd3466d38a489", "generator_version": "3.0"}
{"id": "v3_test_id_00003835", "prompt": "What is -577 * (1 - 7)?", "solution_steps": ["Subtract: 1 - 7 = -6", "Multiply: -577 * (-6) = 3462"], "final_answer": "3462", "answer_type": "integer", "kind": "expression", "math_text": "-577 * (1 - 7)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -577, \"b\": 1, \"c\": 7}", "seed": "16638753520345764851", "semantic_fingerprint": "sha256:2d2f0b04d58300e6b5539904cbcfa53a495527b6c25de52489c26a3a6b494e7b", "generator_version": "3.0"}
{"id": "v3_test_id_00003836", "prompt": "What value of x satisfies -7x - 47 = x - 2?", "solution_steps": ["Subtract x from both sides: -8x - 47 = -2", "Add 47 to both sides: -8x = 45", "Divide both sides by -8: x = -45/8"], "final_answer": "-45/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7x - 47 = x - 2", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 47, \"c\": 2}", "seed": "13157822436428555266", "semantic_fingerprint": "sha256:b179b4902c8fd600a4ca5ec817c634eb9f6db7a94f2e7fefdde450f5ddf4bb9e", "generator_version": "3.0"}
{"id": "v3_test_id_00003837", "prompt": "Find x: -12(x + 2) = -11(x + 52)", "solution_steps": ["Expand: -12x - 24 = -11(x + 52)", "Expand: -12x - 24 = -11x - 572", "Add 11x to both sides: -x - 24 = -572", "Add 24 to both sides: -x = -548", "Divide both sides by -1: x = 548"], "final_answer": "548", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 2) = -11(x + 52)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 2, \"c\": -11, \"d\": 52}", "seed": "4384082558129053472", "semantic_fingerprint": "sha256:cd1cb967e19c01e3e8a526ca08f3b1db6c8747641ffa68db49388d59159384cb", "generator_version": "3.0"}
{"id": "v3_test_id_00003838", "prompt": "Calculate: -5 * (27 + 7 + (-12))", "solution_steps": ["Add: 27 + 7 = 34", "Add: 34 + (-12) = 22", "Multiply: -5 * 22 = -110"], "final_answer": "-110", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (27 + 7 + (-12))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 27, \"c\": 7, \"d\": -12}", "seed": "380977188764371129", "semantic_fingerprint": "sha256:7cf6b10385771aaef67d4aae96a9161fc609c5df0e7d52da70ea92a3680b8f00", "generator_version": "3.0"}
{"id": "v3_test_id_00003839", "prompt": "What is -6 * 87 * (188 + (-66))?", "solution_steps": ["Multiply: -6 * 87 = -522", "Add: 188 + (-66) = 122", "Multiply: -522 * 122 = -63684"], "final_answer": "-63684", "answer_type": "integer", "kind": "expression", "math_text": "-6 * 87 * (188 + (-66))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 87, \"c\": 188, \"d\": -66}", "seed": "16236891637811087887", "semantic_fingerprint": "sha256:14607f96c9eb6751d496825c97e8f4c24be88fb675953e184babf565a97f9067", "generator_version": "3.0"}
{"id": "v3_test_id_00003840", "prompt": "Calculate: (-7 + 555) * (-98 - 32) + 5", "solution_steps": ["Add: -7 + 555 = 548", "Subtract: -98 - 32 = -130", "Multiply: 548 * (-130) = -71240", "Add: -71240 + 5 = -71235"], "final_answer": "-71235", "answer_type": "integer", "kind": "expression", "math_text": "(-7 + 555) * (-98 - 32) + 5", "variable": null, "family": "expression_4op", "shape": "(+ (* (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 555, \"c\": -98, \"d\": 32, \"e\": 5}", "seed": "2594658038410793517", "semantic_fingerprint": "sha256:94b65c51e6677e922601b20d8a1f42b29554627e7365987730dbaedbeb87d6ca", "generator_version": "3.0"}
{"id": "v3_test_id_00003841", "prompt": "Calculate: -84 / 5 / (39 - (-719))", "solution_steps": ["Divide: -84 / 5 = -84/5", "Subtract: 39 - (-719) = 758", "Divide: (-84/5) / 758 = -42/1895"], "final_answer": "-42/1895", "answer_type": "rational", "kind": "expression", "math_text": "-84 / 5 / (39 - (-719))", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": 5, \"c\": 39, \"d\": -719}", "seed": "1274887706916587977", "semantic_fingerprint": "sha256:45c42f80aabbbdda946c5d915340eddd0e75cf222f9a6286b3ed601e5e82b756", "generator_version": "3.0"}
{"id": "v3_test_id_00003842", "prompt": "Find x: 10x - 126 = x", "solution_steps": ["Subtract x from both sides: 9x - 126 = 0", "Add 126 to both sides: 9x = 126", "Divide both sides by 9: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 126 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"c\": -126, \"x\": 14}", "seed": "5042887807745032690", "semantic_fingerprint": "sha256:09e290707420491bb22d23e6bccc76d695a694d5a57c3aa284d03025717ed14d", "generator_version": "3.0"}
{"id": "v3_test_id_00003843", "prompt": "What is 489 / 7 / 28?", "solution_steps": ["Divide: 489 / 7 = 489/7", "Divide: (489/7) / 28 = 489/196"], "final_answer": "489/196", "answer_type": "rational", "kind": "expression", "math_text": "489 / 7 / 28", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 489, \"b\": 7, \"c\": 28}", "seed": "517028942235536600", "semantic_fingerprint": "sha256:02d9b48711cc6adf91ce593626962e5e33f567e02c4d3d607485e26df8626d11", "generator_version": "3.0"}
{"id": "v3_test_id_00003844", "prompt": "What is 2 + (35 + (-89) / 63)?", "solution_steps": ["Divide: -89 / 63 = -89/63", "Add: 35 + (-89/63) = 2116/63", "Add: 2 + 2116/63 = 2242/63"], "final_answer": "2242/63", "answer_type": "rational", "kind": "expression", "math_text": "2 + (35 + (-89) / 63)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 35, \"c\": -89, \"d\": 63}", "seed": "2878255661508719158", "semantic_fingerprint": "sha256:698895f6c59dc9520a59d512658790faf0e0c443ec80cb3899e0579f20212219", "generator_version": "3.0"}
{"id": "v3_test_id_00003845", "prompt": "Calculate: (319 - (-9)) * (-36)", "solution_steps": ["Subtract: 319 - (-9) = 328", "Multiply: 328 * (-36) = -11808"], "final_answer": "-11808", "answer_type": "integer", "kind": "expression", "math_text": "(319 - (-9)) * (-36)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 319, \"b\": -9, \"c\": -36}", "seed": "9646276376365162276", "semantic_fingerprint": "sha256:f97cb33f45d5b7f8980cd71eb227afd407e07e2bf889234a682e42bba6d372c8", "generator_version": "3.0"}
{"id": "v3_test_id_00003846", "prompt": "Solve for x: -3(x + 875) = -4x", "solution_steps": ["Expand: -3x - 2625 = -4x", "Add 4x to both sides: x - 2625 = 0", "Add 2625 to both sides: x = 2625"], "final_answer": "2625", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 875) = -4x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 875, \"c\": -4}", "seed": "10828046003721505324", "semantic_fingerprint": "sha256:26f636b21e18c91f7f3347f5b310068fd5e122f7983b8ccd0c7431c5ea09a8b0", "generator_version": "3.0"}
{"id": "v3_test_id_00003847", "prompt": "Solve the equation x = 5x - 80 for x.", "solution_steps": ["Subtract 5x from both sides: -4x = -80", "Divide both sides by -4: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 5x - 80", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"c\": -80, \"x\": 20}", "seed": "16790665480717832942", "semantic_fingerprint": "sha256:dc643f7f66bd608b8dcf51232de1c405700e91ed2b6c5a0214af619e7a0e0639", "generator_version": "3.0"}
{"id": "v3_test_id_00003848", "prompt": "Calculate: 771 - 879 * (-9)", "solution_steps": ["Multiply: 879 * (-9) = -7911", "Subtract: 771 - (-7911) = 8682"], "final_answer": "8682", "answer_type": "integer", "kind": "expression", "math_text": "771 - 879 * (-9)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 771, \"b\": 879, \"c\": -9}", "seed": "8121157776219484071", "semantic_fingerprint": "sha256:6d6f93c9eefb2322d36dc57056ef84a6720d139a2a3c8509815f0fd3a1747237", "generator_version": "3.0"}
{"id": "v3_test_id_00003849", "prompt": "What is 67 * (-5)?", "solution_steps": ["Multiply: 67 * (-5) = -335"], "final_answer": "-335", "answer_type": "integer", "kind": "expression", "math_text": "67 * (-5)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": -5}", "seed": "2229610861504599780", "semantic_fingerprint": "sha256:260339ae4885574152d15018bf784ae668a1ed7fb192b1c549fc27c5cd020284", "generator_version": "3.0"}
{"id": "v3_test_id_00003850", "prompt": "Evaluate: -47 / 19 - (-6)", "solution_steps": ["Divide: -47 / 19 = -47/19", "Subtract: -47/19 - (-6) = 67/19"], "final_answer": "67/19", "answer_type": "rational", "kind": "expression", "math_text": "-47 / 19 - (-6)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": 19, \"c\": -6}", "seed": "1749306690281901362", "semantic_fingerprint": "sha256:e600c10152cc7768b6238493aaf3692f83551f24ba6757a2b04283a763e0b8b9", "generator_version": "3.0"}
{"id": "v3_test_id_00003851", "prompt": "Calculate: 76 / (-44 / 35) + (-9) / 143", "solution_steps": ["Divide: -44 / 35 = -44/35", "Divide: 76 / (-44/35) = -665/11", "Divide: -9 / 143 = -9/143", "Add: -665/11 + (-9/143) = -8654/143"], "final_answer": "-8654/143", "answer_type": "rational", "kind": "expression", "math_text": "76 / (-44 / 35) + (-9) / 143", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": -44, \"c\": 35, \"d\": -9, \"e\": 143}", "seed": "15982774293152603991", "semantic_fingerprint": "sha256:55591b78f9f5dcf13256bd78a40a3db4023c93ae2a1118f4fa2ad009428facba", "generator_version": "3.0"}
{"id": "v3_test_id_00003852", "prompt": "Compute: -317 - 8 / (-478) * (-17)", "solution_steps": ["Divide: 8 / (-478) = -4/239", "Multiply: (-4/239) * (-17) = 68/239", "Subtract: -317 - 68/239 = -75831/239"], "final_answer": "-75831/239", "answer_type": "rational", "kind": "expression", "math_text": "-317 - 8 / (-478) * (-17)", "variable": null, "family": "expression_3op", "shape": "(- n (* (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -317, \"b\": 8, \"c\": -478, \"d\": -17}", "seed": "11841936988491945613", "semantic_fingerprint": "sha256:bb933cb9dfaf1c6d3e7d9e7e01cb97808ecd5a7b2c56afab7678e6f77d0ca0ee", "generator_version": "3.0"}
{"id": "v3_test_id_00003853", "prompt": "What is -14 * 479 * (9 - (-46))?", "solution_steps": ["Multiply: -14 * 479 = -6706", "Subtract: 9 - (-46) = 55", "Multiply: -6706 * 55 = -368830"], "final_answer": "-368830", "answer_type": "integer", "kind": "expression", "math_text": "-14 * 479 * (9 - (-46))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -14, \"b\": 479, \"c\": 9, \"d\": -46}", "seed": "9096040039322346160", "semantic_fingerprint": "sha256:8740c75baee97836d96b3646da7e89b8a49dcb82b7fab6384c59c2c39a95fa09", "generator_version": "3.0"}
{"id": "v3_test_id_00003854", "prompt": "What is -934 - (76 + 608) - (-31)?", "solution_steps": ["Add: 76 + 608 = 684", "Subtract: -934 - 684 = -1618", "Subtract: -1618 - (-31) = -1587"], "final_answer": "-1587", "answer_type": "integer", "kind": "expression", "math_text": "-934 - (76 + 608) - (-31)", "variable": null, "family": "expression_3op", "shape": "(- (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -934, \"b\": 76, \"c\": 608, \"d\": -31}", "seed": "14028223791466256267", "semantic_fingerprint": "sha256:cabc90334822e3fa6fd6719d23095d0f0f7046e77b5a4fb01d576c487f62ae8a", "generator_version": "3.0"}
{"id": "v3_test_id_00003855", "prompt": "Compute: -4 + (-9) / 27", "solution_steps": ["Divide: -9 / 27 = -1/3", "Add: -4 + (-1/3) = -13/3"], "final_answer": "-13/3", "answer_type": "rational", "kind": "expression", "math_text": "-4 + (-9) / 27", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -9, \"c\": 27}", "seed": "16182155086499708137", "semantic_fingerprint": "sha256:bb4615c82e81334a94e98b2b7d6f6585d6c60a2c6770e63c6a8455c57317c33f", "generator_version": "3.0"}
{"id": "v3_test_id_00003856", "prompt": "Calculate: -5 + 0 / (-15)", "solution_steps": ["Divide: 0 / (-15) = 0", "Add: -5 + 0 = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "expression", "math_text": "-5 + 0 / (-15)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 0, \"c\": -15}", "seed": "4528171048252432064", "semantic_fingerprint": "sha256:f6fd916e3840e90b42c8aa2c9c48dbe4c34a1727cf1c96c323fc5f13b7ddcddb", "generator_version": "3.0"}
{"id": "v3_test_id_00003857", "prompt": "Calculate: -4 * ((5 + 8) / (0 - 87))", "solution_steps": ["Add: 5 + 8 = 13", "Subtract: 0 - 87 = -87", "Divide: 13 / (-87) = -13/87", "Multiply: -4 * (-13/87) = 52/87"], "final_answer": "52/87", "answer_type": "rational", "kind": "expression", "math_text": "-4 * ((5 + 8) / (0 - 87))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (+ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 5, \"c\": 8, \"d\": 0, \"e\": 87}", "seed": "3143033574454743276", "semantic_fingerprint": "sha256:99efc80d1c635eeefeb2d3a3e3060dd0890d20d1e82aca2b322b83974c8912cf", "generator_version": "3.0"}
{"id": "v3_test_id_00003858", "prompt": "Compute: 51 - (-62 * (-11) + (-14)) - 91", "solution_steps": ["Multiply: -62 * (-11) = 682", "Add: 682 + (-14) = 668", "Subtract: 51 - 668 = -617", "Subtract: -617 - 91 = -708"], "final_answer": "-708", "answer_type": "integer", "kind": "expression", "math_text": "51 - (-62 * (-11) + (-14)) - 91", "variable": null, "family": "expression_4op", "shape": "(- (- n (+ (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": -62, \"c\": -11, \"d\": -14, \"e\": 91}", "seed": "2682691414588849385", "semantic_fingerprint": "sha256:5efb4b732b5f36dbc54265ae28874f886c732ea0397ca561baea60fca42a6284", "generator_version": "3.0"}
{"id": "v3_test_id_00003859", "prompt": "Compute: 639 / (-789)", "solution_steps": ["Divide: 639 / (-789) = -213/263"], "final_answer": "-213/263", "answer_type": "rational", "kind": "expression", "math_text": "639 / (-789)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 639, \"b\": -789}", "seed": "7991546031038406260", "semantic_fingerprint": "sha256:532bb1fea0d919e76395b54533bdc141438b778daf2e7e1c9695dfbaeec26298", "generator_version": "3.0"}
{"id": "v3_test_id_00003860", "prompt": "Solve for x: -8(x + 87) = 5(x + 66) - 870", "solution_steps": ["Expand: -8x - 696 = 5(x + 66) - 870", "Expand: -8x - 696 = 5x + 330 - 870", "Combine constants: -8x - 696 = 5x - 540", "Subtract 5x from both sides: -13x - 696 = -540", "Add 696 to both sides: -13x = 156", "Divide both sides by -13: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 87) = 5(x + 66) - 870", "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\": 5, \"d\": 66, \"f\": -870, \"x\": -12}", "seed": "6451506225688050315", "semantic_fingerprint": "sha256:c2493eb953a0f96f7edfe1bebdd73dfe7fded71819021d5e0d11cf98e1788048", "generator_version": "3.0"}
{"id": "v3_test_id_00003861", "prompt": "Solve for x: x + 598 = 5(x + 126)", "solution_steps": ["Expand: x + 598 = 5x + 630", "Subtract 5x from both sides: -4x + 598 = 630", "Subtract 598 from both sides: -4x = 32", "Divide both sides by -4: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 598 = 5(x + 126)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 126, \"d\": 598, \"x\": -8}", "seed": "14042715760939570124", "semantic_fingerprint": "sha256:237ac354db908e91e85df03e559505e4e1444f48911d91ba8c1ce540a3bc7419", "generator_version": "3.0"}
{"id": "v3_test_id_00003862", "prompt": "What is -5 + 511 + (-38) / (-60)?", "solution_steps": ["Add: -5 + 511 = 506", "Divide: -38 / (-60) = 19/30", "Add: 506 + 19/30 = 15199/30"], "final_answer": "15199/30", "answer_type": "rational", "kind": "expression", "math_text": "-5 + 511 + (-38) / (-60)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 511, \"c\": -38, \"d\": -60}", "seed": "3547916792577096149", "semantic_fingerprint": "sha256:afbeb19127fd790e9a26ca5b3cb4a3b341b002fef7e16545607357ebf96bb8c8", "generator_version": "3.0"}
{"id": "v3_test_id_00003863", "prompt": "Calculate: -971 / 6 - (243 + (-321))", "solution_steps": ["Divide: -971 / 6 = -971/6", "Add: 243 + (-321) = -78", "Subtract: -971/6 - (-78) = -503/6"], "final_answer": "-503/6", "answer_type": "rational", "kind": "expression", "math_text": "-971 / 6 - (243 + (-321))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -971, \"b\": 6, \"c\": 243, \"d\": -321}", "seed": "2460436147332987476", "semantic_fingerprint": "sha256:acafc2bea3c8d695123cae56195665fa10df19dbeef3200663dd63a3e2025095", "generator_version": "3.0"}
{"id": "v3_test_id_00003864", "prompt": "What is -198 - 90?", "solution_steps": ["Subtract: -198 - 90 = -288"], "final_answer": "-288", "answer_type": "integer", "kind": "expression", "math_text": "-198 - 90", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -198, \"b\": 90}", "seed": "6400057018930382627", "semantic_fingerprint": "sha256:d48c79325fed989044040143902a7916905ee996a705e33215f514b5466dd3dc", "generator_version": "3.0"}
{"id": "v3_test_id_00003865", "prompt": "What is 996 + (145 + 391 / (-9) + (-16))?", "solution_steps": ["Divide: 391 / (-9) = -391/9", "Add: 145 + (-391/9) = 914/9", "Add: 914/9 + (-16) = 770/9", "Add: 996 + 770/9 = 9734/9"], "final_answer": "9734/9", "answer_type": "rational", "kind": "expression", "math_text": "996 + (145 + 391 / (-9) + (-16))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (+ n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 996, \"b\": 145, \"c\": 391, \"d\": -9, \"e\": -16}", "seed": "14429480460673565831", "semantic_fingerprint": "sha256:3e06b7666bcf3a711103efb5d1e16eecf5f968ebfc6af559094728ba12a15670", "generator_version": "3.0"}
{"id": "v3_test_id_00003866", "prompt": "Solve the equation 12(x + 12) - 71 = -7(x - 87) for x.", "solution_steps": ["Expand: 12x + 144 - 71 = -7(x - 87)", "Expand: 12x + 144 - 71 = -7x + 609", "Combine constants: 12x + 73 = -7x + 609", "Add 7x to both sides: 19x + 73 = 609", "Subtract 73 from both sides: 19x = 536", "Divide both sides by 19: x = 536/19"], "final_answer": "536/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 12) - 71 = -7(x - 87)", "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\": 71, \"d\": -7, \"e\": 87}", "seed": "13844542403370988280", "semantic_fingerprint": "sha256:5131fc5d8f2f5e40c17af3a74a40f13ceb7bead73d275e0baec1b840fcbc9e43", "generator_version": "3.0"}
{"id": "v3_test_id_00003867", "prompt": "Calculate: -83 / (3 / (-9))", "solution_steps": ["Divide: 3 / (-9) = -1/3", "Divide: -83 / (-1/3) = 249"], "final_answer": "249", "answer_type": "integer", "kind": "expression", "math_text": "-83 / (3 / (-9))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": 3, \"c\": -9}", "seed": "14080784515210266348", "semantic_fingerprint": "sha256:0ed11e310e7623855fc35102b5acd99c601bc13856a9de5b48db446852d5e51e", "generator_version": "3.0"}
{"id": "v3_test_id_00003868", "prompt": "Find x: 10x = -8(x + 7)", "solution_steps": ["Expand: 10x = -8x - 56", "Add 8x to both sides: 18x = -56", "Divide both sides by 18: x = -28/9"], "final_answer": "-28/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x = -8(x + 7)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -8, \"c\": 7}", "seed": "2789457705396012341", "semantic_fingerprint": "sha256:a6e5cfd30e9c14b54274fd82d89104d68aa8ee6f5d772e6925ab3856dedc9622", "generator_version": "3.0"}
{"id": "v3_test_id_00003869", "prompt": "Compute: (65 / (-37) + 480) / 345", "solution_steps": ["Divide: 65 / (-37) = -65/37", "Add: -65/37 + 480 = 17695/37", "Divide: (17695/37) / 345 = 3539/2553"], "final_answer": "3539/2553", "answer_type": "rational", "kind": "expression", "math_text": "(65 / (-37) + 480) / 345", "variable": null, "family": "expression_3op", "shape": "(/ (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -37, \"c\": 480, \"d\": 345}", "seed": "4290398464577953698", "semantic_fingerprint": "sha256:d860821c7b68465a750192d5fec7d7e65f54bf66c380a485407fdb6ada7a9cdd", "generator_version": "3.0"}
{"id": "v3_test_id_00003870", "prompt": "Compute: 14 - (462 + 87) - 9 / (71 / 864)", "solution_steps": ["Add: 462 + 87 = 549", "Subtract: 14 - 549 = -535", "Divide: 71 / 864 = 71/864", "Divide: 9 / (71/864) = 7776/71", "Subtract: -535 - 7776/71 = -45761/71"], "final_answer": "-45761/71", "answer_type": "rational", "kind": "expression", "math_text": "14 - (462 + 87) - 9 / (71 / 864)", "variable": null, "family": "expression_5op", "shape": "(- (- n (+ n n)) (/ n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 462, \"c\": 87, \"d\": 9, \"e\": 71, \"f\": 864}", "seed": "4772574781262088120", "semantic_fingerprint": "sha256:06ea56e220a7f9ff3c58c285115aac8281cb2e8b69b88ce7365dbfc70579bb84", "generator_version": "3.0"}
{"id": "v3_test_id_00003871", "prompt": "Solve for x: 12(x - 48) - 5 = 3x - 545", "solution_steps": ["Expand: 12x - 576 - 5 = 3x - 545", "Combine constants: 12x - 581 = 3x - 545", "Subtract 3x from both sides: 9x - 581 = -545", "Add 581 to both sides: 9x = 36", "Divide both sides by 9: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 48) - 5 = 3x - 545", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 48, \"c\": 5, \"d\": 3, \"f\": -545, \"x\": 4}", "seed": "17171881552190607718", "semantic_fingerprint": "sha256:32e04c899b3edf17b2ec413c6925c10d2cfc6478a5ceb66264a6c2dedc5916cb", "generator_version": "3.0"}
{"id": "v3_test_id_00003872", "prompt": "Solve for x: 7x + 12 = x - 102", "solution_steps": ["Subtract x from both sides: 6x + 12 = -102", "Subtract 12 from both sides: 6x = -114", "Divide both sides by 6: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 12 = x - 102", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 12, \"d\": -102, \"x\": -19}", "seed": "4684967765143965692", "semantic_fingerprint": "sha256:9f255b72c8e37da9954ef61cb616cb5e25cec4874011d7eeeaffa171196a7df5", "generator_version": "3.0"}
{"id": "v3_test_id_00003873", "prompt": "What is -4 / (-56) / 264?", "solution_steps": ["Divide: -4 / (-56) = 1/14", "Divide: (1/14) / 264 = 1/3696"], "final_answer": "1/3696", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-56) / 264", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -56, \"c\": 264}", "seed": "13036011481495899838", "semantic_fingerprint": "sha256:2aab92b5e3be68d60443d7b2f706d52aababb52ac0e2beb86dac344d0b03e655", "generator_version": "3.0"}
{"id": "v3_test_id_00003874", "prompt": "Solve for x: 12x + 4 = 10x", "solution_steps": ["Subtract 10x from both sides: 2x + 4 = 0", "Subtract 4 from both sides: 2x = -4", "Divide both sides by 2: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 4 = 10x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 4, \"c\": 10}", "seed": "9970604319196630825", "semantic_fingerprint": "sha256:34d3aa315963aa737190628aa31c5f2d0f84390dcb75159469eded8bcce9e242", "generator_version": "3.0"}
{"id": "v3_test_id_00003875", "prompt": "Solve the equation -2(x - 448) = 8(x + 37) - 5 for x.", "solution_steps": ["Expand: -2x + 896 = 8(x + 37) - 5", "Expand: -2x + 896 = 8x + 296 - 5", "Combine constants: -2x + 896 = 8x + 291", "Subtract 8x from both sides: -10x + 896 = 291", "Subtract 896 from both sides: -10x = -605", "Divide both sides by -10: x = 121/2"], "final_answer": "121/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x - 448) = 8(x + 37) - 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 448, \"c\": 8, \"d\": 37, \"e\": 5}", "seed": "5795559662286646778", "semantic_fingerprint": "sha256:ed0e8f2015421b042eaa00db7da66f72106136d3fff19b75bb7df1e8403313dd", "generator_version": "3.0"}
{"id": "v3_test_id_00003876", "prompt": "What is -663 / (-9 - 16 / (-2)) * (-19)?", "solution_steps": ["Divide: 16 / (-2) = -8", "Subtract: -9 - (-8) = -1", "Divide: -663 / (-1) = 663", "Multiply: 663 * (-19) = -12597"], "final_answer": "-12597", "answer_type": "integer", "kind": "expression", "math_text": "-663 / (-9 - 16 / (-2)) * (-19)", "variable": null, "family": "expression_4op", "shape": "(* (/ n (- n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -663, \"b\": -9, \"c\": 16, \"d\": -2, \"e\": -19}", "seed": "12075460595318754812", "semantic_fingerprint": "sha256:f98afa3886a8c137ed998e31535fb5df0fa53b2bb161f50da67991e60d97b06d", "generator_version": "3.0"}
{"id": "v3_test_id_00003877", "prompt": "What value of x satisfies -5(x + 5) + 25 = x?", "solution_steps": ["Expand: -5x - 25 + 25 = x", "Combine constants: -5x = x", "Subtract x from both sides: -6x = 0", "Divide both sides by -6: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 5) + 25 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 5, \"d\": 25, \"x\": 0}", "seed": "14239760067350862531", "semantic_fingerprint": "sha256:e1a6aac1f98bec44041a1e95cc543dc6bd8d200174b179ea7ad2dad425a06a05", "generator_version": "3.0"}
{"id": "v3_test_id_00003878", "prompt": "Calculate: -43 - 700", "solution_steps": ["Subtract: -43 - 700 = -743"], "final_answer": "-743", "answer_type": "integer", "kind": "expression", "math_text": "-43 - 700", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": 700}", "seed": "15640795996653050782", "semantic_fingerprint": "sha256:2c9d37e1d2d8ea2486e3b6a366b47228397045fbe7a56c99a0557fd99b5fc922", "generator_version": "3.0"}
{"id": "v3_test_id_00003879", "prompt": "What value of x satisfies 6x + 1 = 4(x - 19) + 41?", "solution_steps": ["Expand: 6x + 1 = 4x - 76 + 41", "Combine constants: 6x + 1 = 4x - 35", "Subtract 4x from both sides: 2x + 1 = -35", "Subtract 1 from both sides: 2x = -36", "Divide both sides by 2: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x + 1 = 4(x - 19) + 41", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 1, \"c\": 4, \"d\": 19, \"f\": 41, \"x\": -18}", "seed": "15505456682332856785", "semantic_fingerprint": "sha256:56f7ba47058783380389e0495ba09599d5120b6ecc10ad304bb6c6b3e957aef1", "generator_version": "3.0"}
{"id": "v3_test_id_00003880", "prompt": "Find x: 3x + 32 = 2(x + 7)", "solution_steps": ["Expand: 3x + 32 = 2x + 14", "Subtract 2x from both sides: x + 32 = 14", "Subtract 32 from both sides: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x + 32 = 2(x + 7)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": 7, \"e\": 32, \"x\": -18}", "seed": "16336486997284494536", "semantic_fingerprint": "sha256:9fa674816566f5a4fd489f08253eab8383af3622b5434a8e41155db20a4f2ef1", "generator_version": "3.0"}
{"id": "v3_test_id_00003881", "prompt": "What is -57 - (-68) - (8 - (-359))?", "solution_steps": ["Subtract: -57 - (-68) = 11", "Subtract: 8 - (-359) = 367", "Subtract: 11 - 367 = -356"], "final_answer": "-356", "answer_type": "integer", "kind": "expression", "math_text": "-57 - (-68) - (8 - (-359))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": -68, \"c\": 8, \"d\": -359}", "seed": "15509731656043791186", "semantic_fingerprint": "sha256:39eb22cde3a152bbca25fa0e8c5c448b852e87d3729fa498c9f4922cc195f9b3", "generator_version": "3.0"}
{"id": "v3_test_id_00003882", "prompt": "Compute: -272 * (-3 * (-450)) + (64 - (-61))", "solution_steps": ["Multiply: -3 * (-450) = 1350", "Multiply: -272 * 1350 = -367200", "Subtract: 64 - (-61) = 125", "Add: -367200 + 125 = -367075"], "final_answer": "-367075", "answer_type": "integer", "kind": "expression", "math_text": "-272 * (-3 * (-450)) + (64 - (-61))", "variable": null, "family": "expression_4op", "shape": "(+ (* n (* n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -272, \"b\": -3, \"c\": -450, \"d\": 64, \"e\": -61}", "seed": "15241593273459244637", "semantic_fingerprint": "sha256:5b0925947a1eae73f355b0ce5cda409ca86223cf8b4eeaa26f58ff468a988972", "generator_version": "3.0"}
{"id": "v3_test_id_00003883", "prompt": "Evaluate: -4 * 21", "solution_steps": ["Multiply: -4 * 21 = -84"], "final_answer": "-84", "answer_type": "integer", "kind": "expression", "math_text": "-4 * 21", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 21}", "seed": "12555551571626381952", "semantic_fingerprint": "sha256:c59caf44d1dfb8703e744cd2091d7d7be9e4b5506e27777a57c12e3eed35cf48", "generator_version": "3.0"}
{"id": "v3_test_id_00003884", "prompt": "Compute: 4 * (-32)", "solution_steps": ["Multiply: 4 * (-32) = -128"], "final_answer": "-128", "answer_type": "integer", "kind": "expression", "math_text": "4 * (-32)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -32}", "seed": "8250434219095244160", "semantic_fingerprint": "sha256:5163d8abb432e9f3e7db7874e3612cb094bbbac4f05f57176f392dc1d29a04e0", "generator_version": "3.0"}
{"id": "v3_test_id_00003885", "prompt": "Calculate: 8 * (3 / 365)", "solution_steps": ["Divide: 3 / 365 = 3/365", "Multiply: 8 * (3/365) = 24/365"], "final_answer": "24/365", "answer_type": "rational", "kind": "expression", "math_text": "8 * (3 / 365)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": 365}", "seed": "5256012122329738844", "semantic_fingerprint": "sha256:8950c8688a811d6053862f7f1785f7b670aa04a7ebd799c940c64c26705cff6a", "generator_version": "3.0"}
{"id": "v3_test_id_00003886", "prompt": "Calculate: (4 - (-5)) / 12", "solution_steps": ["Subtract: 4 - (-5) = 9", "Divide: 9 / 12 = 3/4"], "final_answer": "3/4", "answer_type": "rational", "kind": "expression", "math_text": "(4 - (-5)) / 12", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -5, \"c\": 12}", "seed": "5199892042291830737", "semantic_fingerprint": "sha256:0fa7954cdd19c3b685c76a02b19622b8f2be7ce7a9368ce8d09efc2bbe192b97", "generator_version": "3.0"}
{"id": "v3_test_id_00003887", "prompt": "What value of x satisfies x + 24 = 9(x + 15) + 9?", "solution_steps": ["Expand: x + 24 = 9x + 135 + 9", "Combine constants: x + 24 = 9x + 144", "Subtract 9x from both sides: -8x + 24 = 144", "Subtract 24 from both sides: -8x = 120", "Divide both sides by -8: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 24 = 9(x + 15) + 9", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": 9, \"c\": 15, \"e\": 9, \"x\": -15}", "seed": "7489673612015866171", "semantic_fingerprint": "sha256:4549e5dbfc6049e464b7e6022d6b693d8868871ee0bc87e00b86782ca499d5ff", "generator_version": "3.0"}
{"id": "v3_test_id_00003888", "prompt": "Find x: -12x - 208 = x", "solution_steps": ["Subtract x from both sides: -13x - 208 = 0", "Add 208 to both sides: -13x = 208", "Divide both sides by -13: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x - 208 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"c\": -208, \"x\": -16}", "seed": "1399113079323608794", "semantic_fingerprint": "sha256:85b1efacbfe36bd4ee2941d9e5420c4e74512bb4b150fb2efd94575161ddffc5", "generator_version": "3.0"}
{"id": "v3_test_id_00003889", "prompt": "Calculate: -96 - 867", "solution_steps": ["Subtract: -96 - 867 = -963"], "final_answer": "-963", "answer_type": "integer", "kind": "expression", "math_text": "-96 - 867", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": 867}", "seed": "3037521304130317830", "semantic_fingerprint": "sha256:5958ee122aa7a056b4069a0357bcc8211855f6ed8f4ff9abecc00f0e0725c094", "generator_version": "3.0"}
{"id": "v3_test_id_00003890", "prompt": "What value of x satisfies -2(x - 390) - 11 = -3(x + 1) + 757?", "solution_steps": ["Expand: -2x + 780 - 11 = -3(x + 1) + 757", "Expand: -2x + 780 - 11 = -3x - 3 + 757", "Combine constants: -2x + 769 = -3x - 3 + 757", "Combine constants: -2x + 769 = -3x + 754", "Add 3x to both sides: x + 769 = 754", "Subtract 769 from both sides: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 390) - 11 = -3(x + 1) + 757", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 390, \"c\": 11, \"d\": -3, \"e\": 1, \"g\": 757, \"x\": -15}", "seed": "7581157327892123257", "semantic_fingerprint": "sha256:c797f15234031e72ab849fa77db34b56360b30d2b38ea5ead928934adb0a2e71", "generator_version": "3.0"}
{"id": "v3_test_id_00003891", "prompt": "Compute: 2 + (-743 - (324 - 0))", "solution_steps": ["Subtract: 324 - 0 = 324", "Subtract: -743 - 324 = -1067", "Add: 2 + (-1067) = -1065"], "final_answer": "-1065", "answer_type": "integer", "kind": "expression", "math_text": "2 + (-743 - (324 - 0))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -743, \"c\": 324, \"d\": 0}", "seed": "17524285000688519876", "semantic_fingerprint": "sha256:9844300d94c86b40b3f0c09ecc06ffd2db7b9d3116a292be41c55a5bf8599376", "generator_version": "3.0"}
{"id": "v3_test_id_00003892", "prompt": "What value of x satisfies x - 901 = -9(x + 78)?", "solution_steps": ["Expand: x - 901 = -9x - 702", "Add 9x to both sides: 10x - 901 = -702", "Add 901 to both sides: 10x = 199", "Divide both sides by 10: x = 199/10"], "final_answer": "199/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 901 = -9(x + 78)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 901, \"b\": -9, \"c\": 78}", "seed": "14586273768405964268", "semantic_fingerprint": "sha256:e0c7f72ce4142557cd76024536ee0c13ee9ee5cb8216e8bd236c07488bdd8199", "generator_version": "3.0"}
{"id": "v3_test_id_00003893", "prompt": "What is 377 / (51 - (-4))?", "solution_steps": ["Subtract: 51 - (-4) = 55", "Divide: 377 / 55 = 377/55"], "final_answer": "377/55", "answer_type": "rational", "kind": "expression", "math_text": "377 / (51 - (-4))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 377, \"b\": 51, \"c\": -4}", "seed": "5027417336616233095", "semantic_fingerprint": "sha256:469a930bbee92c3631e1a87613e457a3900dbf878cddeb38e85c8d77f8d1bcab", "generator_version": "3.0"}
{"id": "v3_test_id_00003894", "prompt": "Solve for x: x = 4(x + 1) - 7", "solution_steps": ["Expand: x = 4x + 4 - 7", "Combine constants: x = 4x - 3", "Subtract 4x from both sides: -3x = -3", "Divide both sides by -3: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 4(x + 1) - 7", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"d\": -7, \"x\": 1}", "seed": "3703613482439568892", "semantic_fingerprint": "sha256:d8017a9c367ab0f9d78d8e584d4e45995ec3580b1f95c9c177af8e5e49b6b744", "generator_version": "3.0"}
{"id": "v3_test_id_00003895", "prompt": "Calculate: -92 / 8", "solution_steps": ["Divide: -92 / 8 = -23/2"], "final_answer": "-23/2", "answer_type": "rational", "kind": "expression", "math_text": "-92 / 8", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": 8}", "seed": "4129247472527251528", "semantic_fingerprint": "sha256:2eb351e4a43103d60380460c1406cab9a21fab9162288001f8ff493016697ffa", "generator_version": "3.0"}
{"id": "v3_test_id_00003896", "prompt": "Evaluate: -77 / (-998)", "solution_steps": ["Divide: -77 / (-998) = 77/998"], "final_answer": "77/998", "answer_type": "rational", "kind": "expression", "math_text": "-77 / (-998)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": -998}", "seed": "3974783512960935204", "semantic_fingerprint": "sha256:25a2ffebfd75239db4eb2ce7bde0213f430bfec59168c49beb72636ede56e0dc", "generator_version": "3.0"}
{"id": "v3_test_id_00003897", "prompt": "Evaluate: 62 * (-95)", "solution_steps": ["Multiply: 62 * (-95) = -5890"], "final_answer": "-5890", "answer_type": "integer", "kind": "expression", "math_text": "62 * (-95)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": -95}", "seed": "923157435634783080", "semantic_fingerprint": "sha256:29b4fe31b2d522c4dba6ed23149f7df5de62e9f466fd5ea48d6a23de39f4fb7b", "generator_version": "3.0"}
{"id": "v3_test_id_00003898", "prompt": "Calculate: -6 * (-3 + 0 + (-200))", "solution_steps": ["Add: -3 + 0 = -3", "Add: -3 + (-200) = -203", "Multiply: -6 * (-203) = 1218"], "final_answer": "1218", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-3 + 0 + (-200))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -3, \"c\": 0, \"d\": -200}", "seed": "12199185655031652717", "semantic_fingerprint": "sha256:54d758e21f7a42077f535fc15ad340fa5e8e478d682dc594c929e08217d25a23", "generator_version": "3.0"}
{"id": "v3_test_id_00003899", "prompt": "Calculate: -377 - (-30) - (-94 + (36 - (-38 - 7)))", "solution_steps": ["Subtract: -377 - (-30) = -347", "Subtract: -38 - 7 = -45", "Subtract: 36 - (-45) = 81", "Add: -94 + 81 = -13", "Subtract: -347 - (-13) = -334"], "final_answer": "-334", "answer_type": "integer", "kind": "expression", "math_text": "-377 - (-30) - (-94 + (36 - (-38 - 7)))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (+ n (- n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -377, \"b\": -30, \"c\": -94, \"d\": 36, \"e\": -38, \"f\": 7}", "seed": "8695546539581331346", "semantic_fingerprint": "sha256:34003d8925bfc9bdc76825b90f5fc3937d0deddea2ae19593aab1089a9de0a81", "generator_version": "3.0"}
{"id": "v3_test_id_00003900", "prompt": "Evaluate: -60 / (-28)", "solution_steps": ["Divide: -60 / (-28) = 15/7"], "final_answer": "15/7", "answer_type": "rational", "kind": "expression", "math_text": "-60 / (-28)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": -28}", "seed": "11977879833923330686", "semantic_fingerprint": "sha256:287eefd94a16ac22ed6db8ff86979a1d64b6c394bba4dd853b4b32b2da7ad46f", "generator_version": "3.0"}
{"id": "v3_test_id_00003901", "prompt": "Calculate: -32 - (-2) + (16 + (-7 + 4))", "solution_steps": ["Subtract: -32 - (-2) = -30", "Add: -7 + 4 = -3", "Add: 16 + (-3) = 13", "Add: -30 + 13 = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "expression", "math_text": "-32 - (-2) + (16 + (-7 + 4))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": -2, \"c\": 16, \"d\": -7, \"e\": 4}", "seed": "8614007973533403341", "semantic_fingerprint": "sha256:c2c21de367e98c6dc86409737b3a20fe3dafb982aad996aa07692fe8374d7ad8", "generator_version": "3.0"}
{"id": "v3_test_id_00003902", "prompt": "What value of x satisfies 10(x - 9) + 776 = x + 569?", "solution_steps": ["Expand: 10x - 90 + 776 = x + 569", "Combine constants: 10x + 686 = x + 569", "Subtract x from both sides: 9x + 686 = 569", "Subtract 686 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 - 9) + 776 = x + 569", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 9, \"c\": 776, \"e\": 569, \"x\": -13}", "seed": "6482198626994139100", "semantic_fingerprint": "sha256:6d6f89b95a0587204c18de75ad9dd5b3ec2502e4cecfd13eae4258b6c0e06009", "generator_version": "3.0"}
{"id": "v3_test_id_00003903", "prompt": "What value of x satisfies 10(x - 67) - 36 = 11(x + 36) + 31?", "solution_steps": ["Expand: 10x - 670 - 36 = 11(x + 36) + 31", "Expand: 10x - 670 - 36 = 11x + 396 + 31", "Combine constants: 10x - 706 = 11x + 396 + 31", "Combine constants: 10x - 706 = 11x + 427", "Subtract 11x from both sides: -x - 706 = 427", "Add 706 to both sides: -x = 1133", "Divide both sides by -1: x = -1133"], "final_answer": "-1133", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 67) - 36 = 11(x + 36) + 31", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 67, \"c\": 36, \"d\": 11, \"e\": 36, \"f\": 31}", "seed": "10975259183372683858", "semantic_fingerprint": "sha256:bb30d1d47783d83e64265680cdcce55b4b7dcd526c1ea5862dba13d61ef41725", "generator_version": "3.0"}
{"id": "v3_test_id_00003904", "prompt": "What is -77 * (-2 + (-331 + 66 + (20 - (-52))))?", "solution_steps": ["Add: -331 + 66 = -265", "Subtract: 20 - (-52) = 72", "Add: -265 + 72 = -193", "Add: -2 + (-193) = -195", "Multiply: -77 * (-195) = 15015"], "final_answer": "15015", "answer_type": "integer", "kind": "expression", "math_text": "-77 * (-2 + (-331 + 66 + (20 - (-52))))", "variable": null, "family": "expression_5op", "shape": "(* n (+ n (+ (+ n n) (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": -2, \"c\": -331, \"d\": 66, \"e\": 20, \"f\": -52}", "seed": "2743988501651671617", "semantic_fingerprint": "sha256:10378c9b721eb37f1b3548093239103cb968d23206d5d6f77a4dd64d5a9d6911", "generator_version": "3.0"}
{"id": "v3_test_id_00003905", "prompt": "Compute: -3 * 33 / (-7)", "solution_steps": ["Multiply: -3 * 33 = -99", "Divide: -99 / (-7) = 99/7"], "final_answer": "99/7", "answer_type": "rational", "kind": "expression", "math_text": "-3 * 33 / (-7)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 33, \"c\": -7}", "seed": "1701777364692020277", "semantic_fingerprint": "sha256:843c9577f425f4c21bcac29d2f5bf7f4737ea6eae3058758371392290d502607", "generator_version": "3.0"}
{"id": "v3_test_id_00003906", "prompt": "Solve the equation 8(x - 15) = 12x for x.", "solution_steps": ["Expand: 8x - 120 = 12x", "Subtract 12x from both sides: -4x - 120 = 0", "Add 120 to both sides: -4x = 120", "Divide both sides by -4: x = -30"], "final_answer": "-30", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 15) = 12x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 15, \"c\": 12}", "seed": "1022332838063528767", "semantic_fingerprint": "sha256:4eb036638260a3c296f6adc0795f7517b4647c41916d6c5129a41a4ab89877a6", "generator_version": "3.0"}
{"id": "v3_test_id_00003907", "prompt": "Find x: -10(x + 42) = -460", "solution_steps": ["Expand: -10x - 420 = -460", "Add 420 to both sides: -10x = -40", "Divide both sides by -10: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 42) = -460", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 42, \"d\": -460, \"x\": 4}", "seed": "7739661400854452205", "semantic_fingerprint": "sha256:2defbad44a016dd344dabc904be58fc770f9609885f7c62aed1b960ea5d8ae2d", "generator_version": "3.0"}
{"id": "v3_test_id_00003908", "prompt": "Solve the equation 12x = 9x for x.", "solution_steps": ["Subtract 9x from both sides: 3x = 0", "Divide both sides by 3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = 9x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 9}", "seed": "18215060981907858842", "semantic_fingerprint": "sha256:d611aa2f6293af20145c8127f2a46c31b770a9183fdb5fc1a6a5bd4a408daed1", "generator_version": "3.0"}
{"id": "v3_test_id_00003909", "prompt": "What is -388 * 20?", "solution_steps": ["Multiply: -388 * 20 = -7760"], "final_answer": "-7760", "answer_type": "integer", "kind": "expression", "math_text": "-388 * 20", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -388, \"b\": 20}", "seed": "3858177673313201880", "semantic_fingerprint": "sha256:83cb27210243edf414bd2f6ad137c78c1ae9b2f3bf896496a9391460151e2473", "generator_version": "3.0"}
{"id": "v3_test_id_00003910", "prompt": "Evaluate: 30 / (60 - (-432)) * 527", "solution_steps": ["Subtract: 60 - (-432) = 492", "Divide: 30 / 492 = 5/82", "Multiply: (5/82) * 527 = 2635/82"], "final_answer": "2635/82", "answer_type": "rational", "kind": "expression", "math_text": "30 / (60 - (-432)) * 527", "variable": null, "family": "expression_3op", "shape": "(* (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": 60, \"c\": -432, \"d\": 527}", "seed": "13458985616476099792", "semantic_fingerprint": "sha256:2bf9c1e75f864fbd27685f0fb0604ed6e3d279607603ca11e04a00e4740f419a", "generator_version": "3.0"}
{"id": "v3_test_id_00003911", "prompt": "What value of x satisfies 3x - 87 = x - 121?", "solution_steps": ["Subtract x from both sides: 2x - 87 = -121", "Add 87 to both sides: 2x = -34", "Divide both sides by 2: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 87 = x - 121", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 87, \"d\": -121, \"x\": -17}", "seed": "13141174099340625675", "semantic_fingerprint": "sha256:ee574268d2fe0fdb68233c1147624b7d86f3fd89ed3fcd195e968d552930b5dc", "generator_version": "3.0"}
{"id": "v3_test_id_00003912", "prompt": "Solve the equation 9x = 6(x + 548) for x.", "solution_steps": ["Expand: 9x = 6x + 3288", "Subtract 6x from both sides: 3x = 3288", "Divide both sides by 3: x = 1096"], "final_answer": "1096", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 6(x + 548)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 6, \"c\": 548}", "seed": "5318742528935872832", "semantic_fingerprint": "sha256:3fd90d29d2957c82b40092bd02081ff737b777ee90bca892dee7a30542c8e8fc", "generator_version": "3.0"}
{"id": "v3_test_id_00003913", "prompt": "What is (89 * (-47) - 47) / (38 * (95 + 0))?", "solution_steps": ["Multiply: 89 * (-47) = -4183", "Subtract: -4183 - 47 = -4230", "Add: 95 + 0 = 95", "Multiply: 38 * 95 = 3610", "Divide: -4230 / 3610 = -423/361"], "final_answer": "-423/361", "answer_type": "rational", "kind": "expression", "math_text": "(89 * (-47) - 47) / (38 * (95 + 0))", "variable": null, "family": "expression_5op", "shape": "(/ (- (* n n) n) (* n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": -47, \"c\": 47, \"d\": 38, \"e\": 95, \"f\": 0}", "seed": "2081904876422758432", "semantic_fingerprint": "sha256:8f18d270f1490f07181f13601d2ade4320cb5fadbf344f6acc98e5a8b33716f1", "generator_version": "3.0"}
{"id": "v3_test_id_00003914", "prompt": "Evaluate: (1 + (20 + 6)) / (-29 + (93 - (-7)))", "solution_steps": ["Add: 20 + 6 = 26", "Add: 1 + 26 = 27", "Subtract: 93 - (-7) = 100", "Add: -29 + 100 = 71", "Divide: 27 / 71 = 27/71"], "final_answer": "27/71", "answer_type": "rational", "kind": "expression", "math_text": "(1 + (20 + 6)) / (-29 + (93 - (-7)))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (+ n n)) (+ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 20, \"c\": 6, \"d\": -29, \"e\": 93, \"f\": -7}", "seed": "11949246773081170599", "semantic_fingerprint": "sha256:1b5215e85706c5041e518e7cb8487659f60906d0c647525ec9ad6e21ad67f2b5", "generator_version": "3.0"}
{"id": "v3_test_id_00003915", "prompt": "Compute: 11 + (-4) * ((-93 - (-82)) / (-5))", "solution_steps": ["Subtract: -93 - (-82) = -11", "Divide: -11 / (-5) = 11/5", "Multiply: -4 * (11/5) = -44/5", "Add: 11 + (-44/5) = 11/5"], "final_answer": "11/5", "answer_type": "rational", "kind": "expression", "math_text": "11 + (-4) * ((-93 - (-82)) / (-5))", "variable": null, "family": "expression_4op", "shape": "(+ n (* n (/ (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -4, \"c\": -93, \"d\": -82, \"e\": -5}", "seed": "5368590758308868100", "semantic_fingerprint": "sha256:c20598d2666ed0eb00990b8922e338bf0e9dcbc93e205aacc063fe66c3d02049", "generator_version": "3.0"}
{"id": "v3_test_id_00003916", "prompt": "Compute: 61 * (58 - 9)", "solution_steps": ["Subtract: 58 - 9 = 49", "Multiply: 61 * 49 = 2989"], "final_answer": "2989", "answer_type": "integer", "kind": "expression", "math_text": "61 * (58 - 9)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": 58, \"c\": 9}", "seed": "2180187823981029234", "semantic_fingerprint": "sha256:223d4d0be4ea8c3e10b99ebbd9b765535adf3312eecfd000a3bf11371ce5df42", "generator_version": "3.0"}
{"id": "v3_test_id_00003917", "prompt": "Compute: 3 - (428 - 35 / 458)", "solution_steps": ["Divide: 35 / 458 = 35/458", "Subtract: 428 - 35/458 = 195989/458", "Subtract: 3 - 195989/458 = -194615/458"], "final_answer": "-194615/458", "answer_type": "rational", "kind": "expression", "math_text": "3 - (428 - 35 / 458)", "variable": null, "family": "expression_3op", "shape": "(- n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 428, \"c\": 35, \"d\": 458}", "seed": "14468928217240100978", "semantic_fingerprint": "sha256:9ac2ca84a5ea1167907ee9d477b20fe818ed07fdf956a5f4d74a8bd7f62d2d17", "generator_version": "3.0"}
{"id": "v3_test_id_00003918", "prompt": "Evaluate: -4 + (-13) - 5 / (-824 + (-6) - (-420))", "solution_steps": ["Add: -4 + (-13) = -17", "Add: -824 + (-6) = -830", "Subtract: -830 - (-420) = -410", "Divide: 5 / (-410) = -1/82", "Subtract: -17 - (-1/82) = -1393/82"], "final_answer": "-1393/82", "answer_type": "rational", "kind": "expression", "math_text": "-4 + (-13) - 5 / (-824 + (-6) - (-420))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (/ n (- (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -13, \"c\": 5, \"d\": -824, \"e\": -6, \"f\": -420}", "seed": "8248970822073360583", "semantic_fingerprint": "sha256:893028cdaec142928d4c11e7c10d3e896be60155ee1b553d21fd6f5abdb99e68", "generator_version": "3.0"}
{"id": "v3_test_id_00003919", "prompt": "Calculate: 4 * (-59)", "solution_steps": ["Multiply: 4 * (-59) = -236"], "final_answer": "-236", "answer_type": "integer", "kind": "expression", "math_text": "4 * (-59)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -59}", "seed": "16689211894356866502", "semantic_fingerprint": "sha256:98fa87a59572b3c721b0f61f3d859cef86a98cb0363129579aaf8e7bb4fc5525", "generator_version": "3.0"}
{"id": "v3_test_id_00003920", "prompt": "Evaluate: -7 / 301 * (97 * (0 - 9 * 4))", "solution_steps": ["Divide: -7 / 301 = -1/43", "Multiply: 9 * 4 = 36", "Subtract: 0 - 36 = -36", "Multiply: 97 * (-36) = -3492", "Multiply: (-1/43) * (-3492) = 3492/43"], "final_answer": "3492/43", "answer_type": "rational", "kind": "expression", "math_text": "-7 / 301 * (97 * (0 - 9 * 4))", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (* n (- n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 301, \"c\": 97, \"d\": 0, \"e\": 9, \"f\": 4}", "seed": "12131395119604127225", "semantic_fingerprint": "sha256:a173684f593a02ddb593d8c66174f4919c30e9c16f41f188c417b2ffe0886357", "generator_version": "3.0"}
{"id": "v3_test_id_00003921", "prompt": "Calculate: -16 * 93", "solution_steps": ["Multiply: -16 * 93 = -1488"], "final_answer": "-1488", "answer_type": "integer", "kind": "expression", "math_text": "-16 * 93", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": 93}", "seed": "14820141592085153601", "semantic_fingerprint": "sha256:9d0a2f29eaaee9eef19eec31d4f7e195927d96607c4fbc621b89b40f87315ac6", "generator_version": "3.0"}
{"id": "v3_test_id_00003922", "prompt": "Calculate: -492 - (-725 + 5 / 5 - (-3))", "solution_steps": ["Divide: 5 / 5 = 1", "Add: -725 + 1 = -724", "Subtract: -724 - (-3) = -721", "Subtract: -492 - (-721) = 229"], "final_answer": "229", "answer_type": "integer", "kind": "expression", "math_text": "-492 - (-725 + 5 / 5 - (-3))", "variable": null, "family": "expression_4op", "shape": "(- n (- (+ n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -492, \"b\": -725, \"c\": 5, \"d\": 5, \"e\": -3}", "seed": "11194560813936004748", "semantic_fingerprint": "sha256:70f594817b635a2afbf0b99530af6f332d2a69892884a0995c1240e8717b2f29", "generator_version": "3.0"}
{"id": "v3_test_id_00003923", "prompt": "Solve the equation 8(x + 55) = -3x + 539 for x.", "solution_steps": ["Expand: 8x + 440 = -3x + 539", "Add 3x to both sides: 11x + 440 = 539", "Subtract 440 from both sides: 11x = 99", "Divide both sides by 11: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 55) = -3x + 539", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 55, \"c\": -3, \"e\": 539, \"x\": 9}", "seed": "569682267778524723", "semantic_fingerprint": "sha256:7f764b7ca282c35fd580064701a12d3c21a77d153aaf1af97f7ff1f0f0d798da", "generator_version": "3.0"}
{"id": "v3_test_id_00003924", "prompt": "What is 7 * 1 + (-79) * 6 * (-765 / 19)?", "solution_steps": ["Multiply: 7 * 1 = 7", "Multiply: -79 * 6 = -474", "Divide: -765 / 19 = -765/19", "Multiply: -474 * (-765/19) = 362610/19", "Add: 7 + 362610/19 = 362743/19"], "final_answer": "362743/19", "answer_type": "rational", "kind": "expression", "math_text": "7 * 1 + (-79) * 6 * (-765 / 19)", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (* (* n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 1, \"c\": -79, \"d\": 6, \"e\": -765, \"f\": 19}", "seed": "2268037370041617109", "semantic_fingerprint": "sha256:0e678df68ae5c9c8a32d9de3e69e0e927530f3a099a25d59fd50f324d27e0c38", "generator_version": "3.0"}
{"id": "v3_test_id_00003925", "prompt": "Compute: 799 + 62 + (-5) + 59", "solution_steps": ["Add: 799 + 62 = 861", "Add: 861 + (-5) = 856", "Add: 856 + 59 = 915"], "final_answer": "915", "answer_type": "integer", "kind": "expression", "math_text": "799 + 62 + (-5) + 59", "variable": null, "family": "expression_3op", "shape": "(+ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 799, \"b\": 62, \"c\": -5, \"d\": 59}", "seed": "11890975211222496469", "semantic_fingerprint": "sha256:922a9179f703f18ce3615b05ec70a96ceaf13ce80d337664de882b8f775bf680", "generator_version": "3.0"}
{"id": "v3_test_id_00003926", "prompt": "Compute: (29 + 71) / (-87)", "solution_steps": ["Add: 29 + 71 = 100", "Divide: 100 / (-87) = -100/87"], "final_answer": "-100/87", "answer_type": "rational", "kind": "expression", "math_text": "(29 + 71) / (-87)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 71, \"c\": -87}", "seed": "3951583982890100720", "semantic_fingerprint": "sha256:73e99f091d316f55c7d9e67e713d647ae27b5db351298f68a044737c99280668", "generator_version": "3.0"}
{"id": "v3_test_id_00003927", "prompt": "Calculate: (9 - 0) * 38", "solution_steps": ["Subtract: 9 - 0 = 9", "Multiply: 9 * 38 = 342"], "final_answer": "342", "answer_type": "integer", "kind": "expression", "math_text": "(9 - 0) * 38", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 0, \"c\": 38}", "seed": "17432461503394069869", "semantic_fingerprint": "sha256:7ca15d402b4d3df4b5f1d20b5a84ca9aa1b6473f3f676009fb8cf53c0406854d", "generator_version": "3.0"}
{"id": "v3_test_id_00003928", "prompt": "Solve the equation 10(x - 8) - 82 = x for x.", "solution_steps": ["Expand: 10x - 80 - 82 = x", "Combine constants: 10x - 162 = x", "Subtract x from both sides: 9x - 162 = 0", "Add 162 to both sides: 9x = 162", "Divide both sides by 9: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 8) - 82 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 8, \"d\": -82, \"x\": 18}", "seed": "1713250710511919189", "semantic_fingerprint": "sha256:dfef088ada59852d98379324d2c6ecb202b262fb6ad8856341d3269b899bb24e", "generator_version": "3.0"}
{"id": "v3_test_id_00003929", "prompt": "Solve the equation 3(x - 8) - 617 = -665 for x.", "solution_steps": ["Expand: 3x - 24 - 617 = -665", "Combine constants: 3x - 641 = -665", "Add 641 to both sides: 3x = -24", "Divide both sides by 3: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 8) - 617 = -665", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": 617, \"e\": -665, \"x\": -8}", "seed": "4918532598980719647", "semantic_fingerprint": "sha256:616a564af908450266c37790a90722bc45ad68b8b1d7e61a5c34e34edce019a3", "generator_version": "3.0"}
{"id": "v3_test_id_00003930", "prompt": "Compute: 36 * (-180 + (-5) + 5)", "solution_steps": ["Add: -180 + (-5) = -185", "Add: -185 + 5 = -180", "Multiply: 36 * (-180) = -6480"], "final_answer": "-6480", "answer_type": "integer", "kind": "expression", "math_text": "36 * (-180 + (-5) + 5)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": -180, \"c\": -5, \"d\": 5}", "seed": "5999749614153379704", "semantic_fingerprint": "sha256:6aeeaf1698d47a5ef879feb5829eef7037b4a65c900db3610bd85c134adcbbaa", "generator_version": "3.0"}
{"id": "v3_test_id_00003931", "prompt": "Evaluate: (-62 + (-1) + (-67)) / 2 + (-526)", "solution_steps": ["Add: -62 + (-1) = -63", "Add: -63 + (-67) = -130", "Divide: -130 / 2 = -65", "Add: -65 + (-526) = -591"], "final_answer": "-591", "answer_type": "integer", "kind": "expression", "math_text": "(-62 + (-1) + (-67)) / 2 + (-526)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": -1, \"c\": -67, \"d\": 2, \"e\": -526}", "seed": "16102391284795472069", "semantic_fingerprint": "sha256:daa66f03f09d374fbbee0a47baf08433527c554f0918223fdcfb03388d1181ba", "generator_version": "3.0"}
{"id": "v3_test_id_00003932", "prompt": "Solve for x: 12(x + 7) - 102 = 11x", "solution_steps": ["Expand: 12x + 84 - 102 = 11x", "Combine constants: 12x - 18 = 11x", "Subtract 11x from both sides: x - 18 = 0", "Add 18 to both sides: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 7) - 102 = 11x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7, \"c\": 11, \"e\": -102, \"x\": 18}", "seed": "15364845756800429576", "semantic_fingerprint": "sha256:f47727f40074cbe49ad759f6b0d7b9423946e9bbca2648cce514dcfbab750323", "generator_version": "3.0"}
{"id": "v3_test_id_00003933", "prompt": "Calculate: 474 / 7", "solution_steps": ["Divide: 474 / 7 = 474/7"], "final_answer": "474/7", "answer_type": "rational", "kind": "expression", "math_text": "474 / 7", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 474, \"b\": 7}", "seed": "1747622618773384380", "semantic_fingerprint": "sha256:1226f169660172587e09b04fb3dbaa9fffeae2e76d9d674b59d3d464bc581fc5", "generator_version": "3.0"}
{"id": "v3_test_id_00003934", "prompt": "Evaluate: (64 + 12) * (-9)", "solution_steps": ["Add: 64 + 12 = 76", "Multiply: 76 * (-9) = -684"], "final_answer": "-684", "answer_type": "integer", "kind": "expression", "math_text": "(64 + 12) * (-9)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": 12, \"c\": -9}", "seed": "7193077142205814067", "semantic_fingerprint": "sha256:fb3e77d84f1200cb63d119c8992eecaec657bbe077672650b5b7f89c8f6cabc4", "generator_version": "3.0"}
{"id": "v3_test_id_00003935", "prompt": "Evaluate: 96 - (-9)", "solution_steps": ["Subtract: 96 - (-9) = 105"], "final_answer": "105", "answer_type": "integer", "kind": "expression", "math_text": "96 - (-9)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": -9}", "seed": "5258739921711482025", "semantic_fingerprint": "sha256:57cd39b7dee76814ffe93efbf8ee158d42e0606cf4ba59a0940a410d14f0d29d", "generator_version": "3.0"}
{"id": "v3_test_id_00003936", "prompt": "Compute: (94 - (-56)) / 98 - (-12)", "solution_steps": ["Subtract: 94 - (-56) = 150", "Divide: 150 / 98 = 75/49", "Subtract: 75/49 - (-12) = 663/49"], "final_answer": "663/49", "answer_type": "rational", "kind": "expression", "math_text": "(94 - (-56)) / 98 - (-12)", "variable": null, "family": "expression_3op", "shape": "(- (/ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": -56, \"c\": 98, \"d\": -12}", "seed": "6990297150966818500", "semantic_fingerprint": "sha256:a024557541941ea778fc69e45a30e952a8244e29133ebfecd9eb9998dacb1192", "generator_version": "3.0"}
{"id": "v3_test_id_00003937", "prompt": "Solve the equation 9(x - 773) + 47 = x - 64 for x.", "solution_steps": ["Expand: 9x - 6957 + 47 = x - 64", "Combine constants: 9x - 6910 = x - 64", "Subtract x from both sides: 8x - 6910 = -64", "Add 6910 to both sides: 8x = 6846", "Divide both sides by 8: x = 3423/4"], "final_answer": "3423/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 773) + 47 = x - 64", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 773, \"c\": 47, \"d\": 64}", "seed": "8501955130807588289", "semantic_fingerprint": "sha256:a5d67a891db22acdfa97c331d82e8627e735d7d3627d07fea26d8102cc7bccaf", "generator_version": "3.0"}
{"id": "v3_test_id_00003938", "prompt": "Evaluate: 35 + 579", "solution_steps": ["Add: 35 + 579 = 614"], "final_answer": "614", "answer_type": "integer", "kind": "expression", "math_text": "35 + 579", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": 579}", "seed": "17611794834330223880", "semantic_fingerprint": "sha256:20ad7f2df93166acf7c951643f1c3b7f57da4b84dee1e3ba5d1cac729e22f95a", "generator_version": "3.0"}
{"id": "v3_test_id_00003939", "prompt": "Evaluate: -85 * (-151)", "solution_steps": ["Multiply: -85 * (-151) = 12835"], "final_answer": "12835", "answer_type": "integer", "kind": "expression", "math_text": "-85 * (-151)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": -151}", "seed": "7896260248543853511", "semantic_fingerprint": "sha256:d3609a13a8ad1bf161e695c796d945421f0ef117053288ac3823beff08f08dfc", "generator_version": "3.0"}
{"id": "v3_test_id_00003940", "prompt": "Solve for x: 6(x + 39) = 9(x + 9) + 81", "solution_steps": ["Expand: 6x + 234 = 9(x + 9) + 81", "Expand: 6x + 234 = 9x + 81 + 81", "Combine constants: 6x + 234 = 9x + 162", "Subtract 9x from both sides: -3x + 234 = 162", "Subtract 234 from both sides: -3x = -72", "Divide both sides by -3: x = 24"], "final_answer": "24", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 39) = 9(x + 9) + 81", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 39, \"c\": 9, \"d\": 9, \"e\": 81}", "seed": "18108498560577374000", "semantic_fingerprint": "sha256:57a692f3dff1bbc2acf16e8a9829093318f08bd3edf901520a95369016f4b752", "generator_version": "3.0"}
{"id": "v3_test_id_00003941", "prompt": "Calculate: (9 + (-2)) / 28 - (-27)", "solution_steps": ["Add: 9 + (-2) = 7", "Divide: 7 / 28 = 1/4", "Subtract: 1/4 - (-27) = 109/4"], "final_answer": "109/4", "answer_type": "rational", "kind": "expression", "math_text": "(9 + (-2)) / 28 - (-27)", "variable": null, "family": "expression_3op", "shape": "(- (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -2, \"c\": 28, \"d\": -27}", "seed": "13880846379612835094", "semantic_fingerprint": "sha256:61d05a64750f3e882d15ca18b3be38477fd9bda6d629a58522d05de63842a996", "generator_version": "3.0"}
{"id": "v3_test_id_00003942", "prompt": "Compute: 9 * (-9) + (-691)", "solution_steps": ["Multiply: 9 * (-9) = -81", "Add: -81 + (-691) = -772"], "final_answer": "-772", "answer_type": "integer", "kind": "expression", "math_text": "9 * (-9) + (-691)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -9, \"c\": -691}", "seed": "10143031685823607507", "semantic_fingerprint": "sha256:1397e939a39ae3aac9cf3b75b8fe7b49bcbf463f39e1ecdb40494ae0884143cf", "generator_version": "3.0"}
{"id": "v3_test_id_00003943", "prompt": "Evaluate: 590 - 8 + 0 * (57 * 6)", "solution_steps": ["Subtract: 590 - 8 = 582", "Multiply: 57 * 6 = 342", "Multiply: 0 * 342 = 0", "Add: 582 + 0 = 582"], "final_answer": "582", "answer_type": "integer", "kind": "expression", "math_text": "590 - 8 + 0 * (57 * 6)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 590, \"b\": 8, \"c\": 0, \"d\": 57, \"e\": 6}", "seed": "3365487334532834871", "semantic_fingerprint": "sha256:8bef87d651a51ae65f1e8294d0fc6fbd1040d729ef2da92d7dd9266912c7191d", "generator_version": "3.0"}
{"id": "v3_test_id_00003944", "prompt": "What value of x satisfies 12x + 93 = 10x?", "solution_steps": ["Subtract 10x from both sides: 2x + 93 = 0", "Subtract 93 from both sides: 2x = -93", "Divide both sides by 2: x = -93/2"], "final_answer": "-93/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x + 93 = 10x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 93, \"c\": 10}", "seed": "5703169032624675578", "semantic_fingerprint": "sha256:8810f18b97c9f88085c6b9591fc8b59dbeb4a7e58020bdfe9bc6b28529316dfb", "generator_version": "3.0"}
{"id": "v3_test_id_00003945", "prompt": "Evaluate: -12 / 48", "solution_steps": ["Divide: -12 / 48 = -1/4"], "final_answer": "-1/4", "answer_type": "rational", "kind": "expression", "math_text": "-12 / 48", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 48}", "seed": "15722338050479011533", "semantic_fingerprint": "sha256:25e471d6c5053644f114f2549f9512aff86743ad25864364cad587580c820896", "generator_version": "3.0"}
{"id": "v3_test_id_00003946", "prompt": "Calculate: 685 - (81 - 4)", "solution_steps": ["Subtract: 81 - 4 = 77", "Subtract: 685 - 77 = 608"], "final_answer": "608", "answer_type": "integer", "kind": "expression", "math_text": "685 - (81 - 4)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 685, \"b\": 81, \"c\": 4}", "seed": "6056635791088539843", "semantic_fingerprint": "sha256:d75dc8abb52f7d744f1835aceb11947e1bc2627196fa65c3ea642319755da14a", "generator_version": "3.0"}
{"id": "v3_test_id_00003947", "prompt": "Compute: 81 + (-7 - 91)", "solution_steps": ["Subtract: -7 - 91 = -98", "Add: 81 + (-98) = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "expression", "math_text": "81 + (-7 - 91)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": -7, \"c\": 91}", "seed": "11618435878190939389", "semantic_fingerprint": "sha256:d373c0a73d6cba07e567d9587c85eb454c75ea5a0db371f6a225fcf21b73980d", "generator_version": "3.0"}
{"id": "v3_test_id_00003948", "prompt": "Calculate: (-59 + (0 * 900 - (-33))) / (-214) * 66", "solution_steps": ["Multiply: 0 * 900 = 0", "Subtract: 0 - (-33) = 33", "Add: -59 + 33 = -26", "Divide: -26 / (-214) = 13/107", "Multiply: (13/107) * 66 = 858/107"], "final_answer": "858/107", "answer_type": "rational", "kind": "expression", "math_text": "(-59 + (0 * 900 - (-33))) / (-214) * 66", "variable": null, "family": "expression_5op", "shape": "(* (/ (+ n (- (* n n) n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": 0, \"c\": 900, \"d\": -33, \"e\": -214, \"f\": 66}", "seed": "10914761081358551197", "semantic_fingerprint": "sha256:37510226f75fa7d7eda748ec75dcaa685e1375333b3eb639479df5aa9188ebf0", "generator_version": "3.0"}
{"id": "v3_test_id_00003949", "prompt": "Compute: -9 + (-45) / (-4 + 912)", "solution_steps": ["Add: -4 + 912 = 908", "Divide: -45 / 908 = -45/908", "Add: -9 + (-45/908) = -8217/908"], "final_answer": "-8217/908", "answer_type": "rational", "kind": "expression", "math_text": "-9 + (-45) / (-4 + 912)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -45, \"c\": -4, \"d\": 912}", "seed": "9600270934272641985", "semantic_fingerprint": "sha256:c366f5c53b002829a7a60d49965a962734ce77bbc5742a55cd84f0f8ea88e9e2", "generator_version": "3.0"}
{"id": "v3_test_id_00003950", "prompt": "Compute: -56 / (-752 - (-95))", "solution_steps": ["Subtract: -752 - (-95) = -657", "Divide: -56 / (-657) = 56/657"], "final_answer": "56/657", "answer_type": "rational", "kind": "expression", "math_text": "-56 / (-752 - (-95))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": -752, \"c\": -95}", "seed": "3044696277416966513", "semantic_fingerprint": "sha256:1f4c06eeade94f9ca15a776e8539edcf7cc6b21a4e2f130b5bfe131ceb340ed7", "generator_version": "3.0"}
{"id": "v3_test_id_00003951", "prompt": "Evaluate: 59 * (-894 + 2)", "solution_steps": ["Add: -894 + 2 = -892", "Multiply: 59 * (-892) = -52628"], "final_answer": "-52628", "answer_type": "integer", "kind": "expression", "math_text": "59 * (-894 + 2)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": -894, \"c\": 2}", "seed": "13015136898613603710", "semantic_fingerprint": "sha256:fa9649c2487d22c2187b482742ad9815a6891e4afdd888a83f2934edc19fd69a", "generator_version": "3.0"}
{"id": "v3_test_id_00003952", "prompt": "Find x: x - 6 = 9(x - 52)", "solution_steps": ["Expand: x - 6 = 9x - 468", "Subtract 9x from both sides: -8x - 6 = -468", "Add 6 to both sides: -8x = -462", "Divide both sides by -8: x = 231/4"], "final_answer": "231/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 6 = 9(x - 52)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 52}", "seed": "10218192890666622608", "semantic_fingerprint": "sha256:24ce2239d86e5ebdbdea3f673a0c301b60b191eaf6d61511c18e6cb18222711d", "generator_version": "3.0"}
{"id": "v3_test_id_00003953", "prompt": "What is 67 / 27?", "solution_steps": ["Divide: 67 / 27 = 67/27"], "final_answer": "67/27", "answer_type": "rational", "kind": "expression", "math_text": "67 / 27", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": 27}", "seed": "103438224691248159", "semantic_fingerprint": "sha256:5a68f578cf609ca1288cae9fcb0d37f31481818c57009e230f6f464c68c8fd13", "generator_version": "3.0"}
{"id": "v3_test_id_00003954", "prompt": "What value of x satisfies -11(x - 86) - 43 = 12(x + 85) + 44?", "solution_steps": ["Expand: -11x + 946 - 43 = 12(x + 85) + 44", "Expand: -11x + 946 - 43 = 12x + 1020 + 44", "Combine constants: -11x + 903 = 12x + 1020 + 44", "Combine constants: -11x + 903 = 12x + 1064", "Subtract 12x from both sides: -23x + 903 = 1064", "Subtract 903 from both sides: -23x = 161", "Divide both sides by -23: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 86) - 43 = 12(x + 85) + 44", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 86, \"c\": 43, \"d\": 12, \"e\": 85, \"g\": 44, \"x\": -7}", "seed": "17440274385451257281", "semantic_fingerprint": "sha256:8d469120c2d31ef5565bad514736e3ad0a484774ba2ec50461d7f86521b70bd5", "generator_version": "3.0"}
{"id": "v3_test_id_00003955", "prompt": "Find x: 4(x - 57) - 9 = 7x - 240", "solution_steps": ["Expand: 4x - 228 - 9 = 7x - 240", "Combine constants: 4x - 237 = 7x - 240", "Subtract 7x from both sides: -3x - 237 = -240", "Add 237 to both sides: -3x = -3", "Divide both sides by -3: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 57) - 9 = 7x - 240", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 57, \"c\": 9, \"d\": 7, \"f\": -240, \"x\": 1}", "seed": "7830370154783932685", "semantic_fingerprint": "sha256:d2866ead487ec614e3ec47a8e6e33268cae2b2b959c5d68a6c1ecb4d46b6006d", "generator_version": "3.0"}
{"id": "v3_test_id_00003956", "prompt": "Solve the equation x = 2(x - 16) for x.", "solution_steps": ["Expand: x = 2x - 32", "Subtract 2x from both sides: -x = -32", "Divide both sides by -1: x = 32"], "final_answer": "32", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 2(x - 16)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 16}", "seed": "15870413006910467998", "semantic_fingerprint": "sha256:0a0eafeb179584da565e1c7b7941afda8c4f47e68dbdf3b629d057b46512930e", "generator_version": "3.0"}
{"id": "v3_test_id_00003957", "prompt": "Compute: 657 + (-8 + 81)", "solution_steps": ["Add: -8 + 81 = 73", "Add: 657 + 73 = 730"], "final_answer": "730", "answer_type": "integer", "kind": "expression", "math_text": "657 + (-8 + 81)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 657, \"b\": -8, \"c\": 81}", "seed": "13375883602951844644", "semantic_fingerprint": "sha256:b200b9a33d02a5bc3e183245e4cb926cab8bb11114d6812b701d3f0f0f18c0b0", "generator_version": "3.0"}
{"id": "v3_test_id_00003958", "prompt": "Solve the equation x - 33 = 12x for x.", "solution_steps": ["Subtract 12x from both sides: -11x - 33 = 0", "Add 33 to both sides: -11x = 33", "Divide both sides by -11: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 33 = 12x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"c\": -33, \"x\": -3}", "seed": "17575645064767636574", "semantic_fingerprint": "sha256:454e945f807c766926d470435f65d135110a5bab76ab9be043a49cd1edcb0641", "generator_version": "3.0"}
{"id": "v3_test_id_00003959", "prompt": "Compute: -42 * (-63) / 26 * 3", "solution_steps": ["Multiply: -42 * (-63) = 2646", "Divide: 2646 / 26 = 1323/13", "Multiply: (1323/13) * 3 = 3969/13"], "final_answer": "3969/13", "answer_type": "rational", "kind": "expression", "math_text": "-42 * (-63) / 26 * 3", "variable": null, "family": "expression_3op", "shape": "(* (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": -63, \"c\": 26, \"d\": 3}", "seed": "3191564780345394746", "semantic_fingerprint": "sha256:47590f0d6546a913cd974cc9a5afdf6e9da7f08f9dc57e8fe2cb7feeb8a10ce2", "generator_version": "3.0"}
{"id": "v3_test_id_00003960", "prompt": "Find x: 6(x - 54) = x", "solution_steps": ["Expand: 6x - 324 = x", "Subtract x from both sides: 5x - 324 = 0", "Add 324 to both sides: 5x = 324", "Divide both sides by 5: x = 324/5"], "final_answer": "324/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 54) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 54}", "seed": "564856288856712491", "semantic_fingerprint": "sha256:050c3286632ac08f3bbb4a080a3fc0b1d4a90fadfbd10dcc41615c8e2b8fbf6c", "generator_version": "3.0"}
{"id": "v3_test_id_00003961", "prompt": "Compute: 88 / (-7) - (-874) + (-3)", "solution_steps": ["Divide: 88 / (-7) = -88/7", "Subtract: -88/7 - (-874) = 6030/7", "Add: 6030/7 + (-3) = 6009/7"], "final_answer": "6009/7", "answer_type": "rational", "kind": "expression", "math_text": "88 / (-7) - (-874) + (-3)", "variable": null, "family": "expression_3op", "shape": "(+ (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": -7, \"c\": -874, \"d\": -3}", "seed": "6146562624373799262", "semantic_fingerprint": "sha256:9b685dd12f09fe7ded79bf31250aaf028a0c472b5617cc7de356ec9a830e0cc6", "generator_version": "3.0"}
{"id": "v3_test_id_00003962", "prompt": "What is -3 * (-6 - 11) / 94?", "solution_steps": ["Subtract: -6 - 11 = -17", "Multiply: -3 * (-17) = 51", "Divide: 51 / 94 = 51/94"], "final_answer": "51/94", "answer_type": "rational", "kind": "expression", "math_text": "-3 * (-6 - 11) / 94", "variable": null, "family": "expression_3op", "shape": "(/ (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -6, \"c\": 11, \"d\": 94}", "seed": "4012205407653071584", "semantic_fingerprint": "sha256:00f332f1f5407b3be658a8ebbcd96e09658f38911fd88100be1b3085450af6cb", "generator_version": "3.0"}
{"id": "v3_test_id_00003963", "prompt": "Compute: 36 - (0 / 5 + (-1) * 9 + 686)", "solution_steps": ["Divide: 0 / 5 = 0", "Multiply: -1 * 9 = -9", "Add: 0 + (-9) = -9", "Add: -9 + 686 = 677", "Subtract: 36 - 677 = -641"], "final_answer": "-641", "answer_type": "integer", "kind": "expression", "math_text": "36 - (0 / 5 + (-1) * 9 + 686)", "variable": null, "family": "expression_5op", "shape": "(- n (+ (+ (/ n n) (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": 0, \"c\": 5, \"d\": -1, \"e\": 9, \"f\": 686}", "seed": "12204386807417668216", "semantic_fingerprint": "sha256:02aa08376a19f5d2c8d7b7622837809b0e177aac6e4887d8859b94581f9d4ffc", "generator_version": "3.0"}
{"id": "v3_test_id_00003964", "prompt": "Find x: -11(x + 3) = 9(x - 34)", "solution_steps": ["Expand: -11x - 33 = 9(x - 34)", "Expand: -11x - 33 = 9x - 306", "Subtract 9x from both sides: -20x - 33 = -306", "Add 33 to both sides: -20x = -273", "Divide both sides by -20: x = 273/20"], "final_answer": "273/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x + 3) = 9(x - 34)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 3, \"c\": 9, \"d\": 34}", "seed": "8312734465898293846", "semantic_fingerprint": "sha256:f5d0c9961d6414e720f7084ce7a62369c2509350072618b85ca44ec826460ada", "generator_version": "3.0"}
{"id": "v3_test_id_00003965", "prompt": "Evaluate: -131 / (-72 + (-138))", "solution_steps": ["Add: -72 + (-138) = -210", "Divide: -131 / (-210) = 131/210"], "final_answer": "131/210", "answer_type": "rational", "kind": "expression", "math_text": "-131 / (-72 + (-138))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -131, \"b\": -72, \"c\": -138}", "seed": "2629652151749076992", "semantic_fingerprint": "sha256:5d32e8e24f9e4f35b702ac9693bbf19a4c5f003268c00b4e04dd80471badd2b2", "generator_version": "3.0"}
{"id": "v3_test_id_00003966", "prompt": "Compute: -3 / (6 - (-5) - (-14)) / (-55 / 6)", "solution_steps": ["Subtract: 6 - (-5) = 11", "Subtract: 11 - (-14) = 25", "Divide: -3 / 25 = -3/25", "Divide: -55 / 6 = -55/6", "Divide: (-3/25) / (-55/6) = 18/1375"], "final_answer": "18/1375", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (6 - (-5) - (-14)) / (-55 / 6)", "variable": null, "family": "expression_5op", "shape": "(/ (/ n (- (- n n) n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 6, \"c\": -5, \"d\": -14, \"e\": -55, \"f\": 6}", "seed": "9015980409764296461", "semantic_fingerprint": "sha256:5928000500bb51c41131665d2922c9a56103391d3a1949f683a1b47f642809e3", "generator_version": "3.0"}
{"id": "v3_test_id_00003967", "prompt": "What is 89 * 934 - 7 / (-14)?", "solution_steps": ["Multiply: 89 * 934 = 83126", "Divide: 7 / (-14) = -1/2", "Subtract: 83126 - (-1/2) = 166253/2"], "final_answer": "166253/2", "answer_type": "rational", "kind": "expression", "math_text": "89 * 934 - 7 / (-14)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": 934, \"c\": 7, \"d\": -14}", "seed": "16297220227384337092", "semantic_fingerprint": "sha256:82c115630eee601322a525bfc286e85ba433e9a63857511af075304aa36efb71", "generator_version": "3.0"}
{"id": "v3_test_id_00003968", "prompt": "What is -126 + (-119)?", "solution_steps": ["Add: -126 + (-119) = -245"], "final_answer": "-245", "answer_type": "integer", "kind": "expression", "math_text": "-126 + (-119)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -126, \"b\": -119}", "seed": "3407366874024208670", "semantic_fingerprint": "sha256:78135e9a5b120534401ff967a75cc0aca01b1661c80210be527f5072b5c634aa", "generator_version": "3.0"}
{"id": "v3_test_id_00003969", "prompt": "What value of x satisfies -6(x + 9) = x + 49?", "solution_steps": ["Expand: -6x - 54 = x + 49", "Subtract x from both sides: -7x - 54 = 49", "Add 54 to both sides: -7x = 103", "Divide both sides by -7: x = -103/7"], "final_answer": "-103/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x + 9) = x + 49", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 9, \"c\": 49}", "seed": "1884320526533421693", "semantic_fingerprint": "sha256:ebc801afdc2c14213f58b5075540238b6b9ebecfce7f57904366102f378d5d10", "generator_version": "3.0"}
{"id": "v3_test_id_00003970", "prompt": "Calculate: -6 / (-80) * (-752 / 2) / (66 / (-6))", "solution_steps": ["Divide: -6 / (-80) = 3/40", "Divide: -752 / 2 = -376", "Multiply: (3/40) * (-376) = -141/5", "Divide: 66 / (-6) = -11", "Divide: (-141/5) / (-11) = 141/55"], "final_answer": "141/55", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-80) * (-752 / 2) / (66 / (-6))", "variable": null, "family": "expression_5op", "shape": "(/ (* (/ n n) (/ n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -80, \"c\": -752, \"d\": 2, \"e\": 66, \"f\": -6}", "seed": "4573860124338208403", "semantic_fingerprint": "sha256:a1e3c86a6c49f576f42775d377006b3f63e465634531e7c2166f5043bf60e642", "generator_version": "3.0"}
{"id": "v3_test_id_00003971", "prompt": "What value of x satisfies -7x + 27 = -5(x - 6)?", "solution_steps": ["Expand: -7x + 27 = -5x + 30", "Add 5x to both sides: -2x + 27 = 30", "Subtract 27 from both sides: -2x = 3", "Divide both sides by -2: x = -3/2"], "final_answer": "-3/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7x + 27 = -5(x - 6)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 27, \"c\": -5, \"d\": 6}", "seed": "3852670382370311886", "semantic_fingerprint": "sha256:41657bf62bdfb3759bf81a579cb7f6781a615377dc9281fc77bd2611c6ae607a", "generator_version": "3.0"}
{"id": "v3_test_id_00003972", "prompt": "What value of x satisfies 5(x + 88) - 5 = -4x + 390?", "solution_steps": ["Expand: 5x + 440 - 5 = -4x + 390", "Combine constants: 5x + 435 = -4x + 390", "Add 4x to both sides: 9x + 435 = 390", "Subtract 435 from both sides: 9x = -45", "Divide both sides by 9: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 88) - 5 = -4x + 390", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 88, \"c\": 5, \"d\": -4, \"f\": 390, \"x\": -5}", "seed": "9433471673440659084", "semantic_fingerprint": "sha256:f402758dce26daa117a3a517b607241754d61cbfd43c4ac9b73b29a464272871", "generator_version": "3.0"}
{"id": "v3_test_id_00003973", "prompt": "Evaluate: (-374 + (-95) - (-6)) / 72", "solution_steps": ["Add: -374 + (-95) = -469", "Subtract: -469 - (-6) = -463", "Divide: -463 / 72 = -463/72"], "final_answer": "-463/72", "answer_type": "rational", "kind": "expression", "math_text": "(-374 + (-95) - (-6)) / 72", "variable": null, "family": "expression_3op", "shape": "(/ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -374, \"b\": -95, \"c\": -6, \"d\": 72}", "seed": "12432194685144572827", "semantic_fingerprint": "sha256:7206c3614f88f0032b00c1344be24a1e5d2a553420505ca2eb23dd3ea79fb10a", "generator_version": "3.0"}
{"id": "v3_test_id_00003974", "prompt": "Solve the equation -2x + 326 = 5(x + 61) for x.", "solution_steps": ["Expand: -2x + 326 = 5x + 305", "Subtract 5x from both sides: -7x + 326 = 305", "Subtract 326 from both sides: -7x = -21", "Divide both sides by -7: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x + 326 = 5(x + 61)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 5, \"c\": 61, \"e\": 326, \"x\": 3}", "seed": "7528305389338475156", "semantic_fingerprint": "sha256:df11f24c03489e7bb3add3f306cb2a60c94c0b7c0387072931dc35d21a59cb4b", "generator_version": "3.0"}
{"id": "v3_test_id_00003975", "prompt": "Calculate: -260 + (9 - 0 - (-642))", "solution_steps": ["Subtract: 9 - 0 = 9", "Subtract: 9 - (-642) = 651", "Add: -260 + 651 = 391"], "final_answer": "391", "answer_type": "integer", "kind": "expression", "math_text": "-260 + (9 - 0 - (-642))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -260, \"b\": 9, \"c\": 0, \"d\": -642}", "seed": "4078682588213488641", "semantic_fingerprint": "sha256:5f61b90488b2dad910139774085313ab2c5f34b38940323adb26a7bd61284a36", "generator_version": "3.0"}
{"id": "v3_test_id_00003976", "prompt": "Find x: 10x - 9 = 3(x - 5) - 22", "solution_steps": ["Expand: 10x - 9 = 3x - 15 - 22", "Combine constants: 10x - 9 = 3x - 37", "Subtract 3x from both sides: 7x - 9 = -37", "Add 9 to both sides: 7x = -28", "Divide both sides by 7: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 9 = 3(x - 5) - 22", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 9, \"c\": 3, \"d\": 5, \"f\": -22, \"x\": -4}", "seed": "4184176399925516591", "semantic_fingerprint": "sha256:a43745e581deb051477cd2c5e0fc86dc10e91ac71d908d7077993d7b17dcfb6b", "generator_version": "3.0"}
{"id": "v3_test_id_00003977", "prompt": "Find x: 3(x + 8) = 6(x + 1) + 42", "solution_steps": ["Expand: 3x + 24 = 6(x + 1) + 42", "Expand: 3x + 24 = 6x + 6 + 42", "Combine constants: 3x + 24 = 6x + 48", "Subtract 6x from both sides: -3x + 24 = 48", "Subtract 24 from both sides: -3x = 24", "Divide both sides by -3: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 8) = 6(x + 1) + 42", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": 6, \"d\": 1, \"f\": 42, \"x\": -8}", "seed": "8918687808081059260", "semantic_fingerprint": "sha256:cea79ecfe949d482788429b869186c5e2882a8f04d115703788513220ee72a8b", "generator_version": "3.0"}
{"id": "v3_test_id_00003978", "prompt": "Find x: x = 9(x - 9)", "solution_steps": ["Expand: x = 9x - 81", "Subtract 9x from both sides: -8x = -81", "Divide both sides by -8: x = 81/8"], "final_answer": "81/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 9(x - 9)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9}", "seed": "15323836567737684594", "semantic_fingerprint": "sha256:1135599419646f72bdd23cf77b9f958b80da4e1acc35005138fad027c7f888fc", "generator_version": "3.0"}
{"id": "v3_test_id_00003979", "prompt": "Compute: (0 + 0) * (18 / 761)", "solution_steps": ["Add: 0 + 0 = 0", "Divide: 18 / 761 = 18/761", "Multiply: 0 * (18/761) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(0 + 0) * (18 / 761)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 0, \"c\": 18, \"d\": 761}", "seed": "10729056483871901253", "semantic_fingerprint": "sha256:d619e48abdbbc5101daa7b94b5872a19afa7c1ed51491ef1da83bd9140d175aa", "generator_version": "3.0"}
{"id": "v3_test_id_00003980", "prompt": "What is (-5 - 25) * 92?", "solution_steps": ["Subtract: -5 - 25 = -30", "Multiply: -30 * 92 = -2760"], "final_answer": "-2760", "answer_type": "integer", "kind": "expression", "math_text": "(-5 - 25) * 92", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 25, \"c\": 92}", "seed": "18117251618153417626", "semantic_fingerprint": "sha256:60249f559b18bac562291a1b1ee02a8e4192c6f78697f7540a78e4763adba4c4", "generator_version": "3.0"}
{"id": "v3_test_id_00003981", "prompt": "Solve the equation 8x - 61 = 9(x - 4) - 4 for x.", "solution_steps": ["Expand: 8x - 61 = 9x - 36 - 4", "Combine constants: 8x - 61 = 9x - 40", "Subtract 9x from both sides: -x - 61 = -40", "Add 61 to both sides: -x = 21", "Divide both sides by -1: x = -21"], "final_answer": "-21", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 61 = 9(x - 4) - 4", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 61, \"c\": 9, \"d\": 4, \"e\": 4}", "seed": "16128977043193406475", "semantic_fingerprint": "sha256:aac950586821a9d37d22518d052f91fd6415e1d1b9079955d7e18a0ed4658045", "generator_version": "3.0"}
{"id": "v3_test_id_00003982", "prompt": "Calculate: -594 + (659 + (-748) - (-545) / 68 + 974)", "solution_steps": ["Add: 659 + (-748) = -89", "Divide: -545 / 68 = -545/68", "Subtract: -89 - (-545/68) = -5507/68", "Add: -5507/68 + 974 = 60725/68", "Add: -594 + 60725/68 = 20333/68"], "final_answer": "20333/68", "answer_type": "rational", "kind": "expression", "math_text": "-594 + (659 + (-748) - (-545) / 68 + 974)", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (- (+ n n) (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -594, \"b\": 659, \"c\": -748, \"d\": -545, \"e\": 68, \"f\": 974}", "seed": "334476587143871731", "semantic_fingerprint": "sha256:e9ce257d4b61b0c81ca2dacd2cc28a00c76d7745d098ef8d0d6b90f4cb779815", "generator_version": "3.0"}
{"id": "v3_test_id_00003983", "prompt": "Evaluate: 0 * (-1)", "solution_steps": ["Multiply: 0 * (-1) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-1)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -1}", "seed": "4819905187502753737", "semantic_fingerprint": "sha256:d6df189dd5db85cf2d4b42821cb48d0289e9005e3b060d5f5a7656683c38ac61", "generator_version": "3.0"}
{"id": "v3_test_id_00003984", "prompt": "Calculate: -6 * 49 / (-875) + 697", "solution_steps": ["Multiply: -6 * 49 = -294", "Divide: -294 / (-875) = 42/125", "Add: 42/125 + 697 = 87167/125"], "final_answer": "87167/125", "answer_type": "rational", "kind": "expression", "math_text": "-6 * 49 / (-875) + 697", "variable": null, "family": "expression_3op", "shape": "(+ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 49, \"c\": -875, \"d\": 697}", "seed": "11536698312501451255", "semantic_fingerprint": "sha256:d1eaeaf7a8b60b32722acf13fa04be5011d9a14241e9b80bd2894cc280337604", "generator_version": "3.0"}
{"id": "v3_test_id_00003985", "prompt": "What is (83 + 262) * 6 / 26?", "solution_steps": ["Add: 83 + 262 = 345", "Multiply: 345 * 6 = 2070", "Divide: 2070 / 26 = 1035/13"], "final_answer": "1035/13", "answer_type": "rational", "kind": "expression", "math_text": "(83 + 262) * 6 / 26", "variable": null, "family": "expression_3op", "shape": "(/ (* (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 262, \"c\": 6, \"d\": 26}", "seed": "2137075433821969303", "semantic_fingerprint": "sha256:ae2d41a1f37c19e0ffb2cb86eba59ea225d4b0fce76f655db34d2f9fe70f2583", "generator_version": "3.0"}
{"id": "v3_test_id_00003986", "prompt": "Solve for x: x + 1 = 2(x - 4)", "solution_steps": ["Expand: x + 1 = 2x - 8", "Subtract 2x from both sides: -x + 1 = -8", "Subtract 1 from both sides: -x = -9", "Divide both sides by -1: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1 = 2(x - 4)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 2, \"c\": 4}", "seed": "15450165659220191272", "semantic_fingerprint": "sha256:c2f56b6115eefc61a5cc470966440082a3b144f0ef6de5cbcc17ccdcbcea59d5", "generator_version": "3.0"}
{"id": "v3_test_id_00003987", "prompt": "Calculate: -8 - (-3)", "solution_steps": ["Subtract: -8 - (-3) = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "expression", "math_text": "-8 - (-3)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -3}", "seed": "9497959097204143106", "semantic_fingerprint": "sha256:27362c7a93ac0176cb9196815e021653990dcc65540e972c5513a628a6bac129", "generator_version": "3.0"}
{"id": "v3_test_id_00003988", "prompt": "Evaluate: 3 * (-642 * (38 * (-9)) + (-932))", "solution_steps": ["Multiply: 38 * (-9) = -342", "Multiply: -642 * (-342) = 219564", "Add: 219564 + (-932) = 218632", "Multiply: 3 * 218632 = 655896"], "final_answer": "655896", "answer_type": "integer", "kind": "expression", "math_text": "3 * (-642 * (38 * (-9)) + (-932))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (* n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -642, \"c\": 38, \"d\": -9, \"e\": -932}", "seed": "17870042501348346205", "semantic_fingerprint": "sha256:023671bc946272a4ff7eb28ac73ed9f46c9e0ebdc9fd06766c248bab2016c2ea", "generator_version": "3.0"}
{"id": "v3_test_id_00003989", "prompt": "What value of x satisfies 10x + 4 = 4x - 104?", "solution_steps": ["Subtract 4x from both sides: 6x + 4 = -104", "Subtract 4 from both sides: 6x = -108", "Divide both sides by 6: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x + 4 = 4x - 104", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 4, \"c\": 4, \"e\": -104, \"x\": -18}", "seed": "13796295471094934231", "semantic_fingerprint": "sha256:045bf52dbb56ee7719160b30f29868e7ac513cdd6bd86db3f70f482860970eee", "generator_version": "3.0"}
{"id": "v3_test_id_00003990", "prompt": "Find x: -4x - 776 = 6x + 49", "solution_steps": ["Subtract 6x from both sides: -10x - 776 = 49", "Add 776 to both sides: -10x = 825", "Divide both sides by -10: x = -165/2"], "final_answer": "-165/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4x - 776 = 6x + 49", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 776, \"c\": 6, \"d\": 49}", "seed": "12743905764144823913", "semantic_fingerprint": "sha256:6fb4e0c1c1c687bdf56d93e6893221ca7573109dc409e851dbbf0752adf3de11", "generator_version": "3.0"}
{"id": "v3_test_id_00003991", "prompt": "What value of x satisfies 5x = -8(x - 30)?", "solution_steps": ["Expand: 5x = -8x + 240", "Add 8x to both sides: 13x = 240", "Divide both sides by 13: x = 240/13"], "final_answer": "240/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x = -8(x - 30)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -8, \"c\": 30}", "seed": "7392145738271589011", "semantic_fingerprint": "sha256:ee39343e0561ffcfb7e0a411728c13d7d29111cd39f38d9df3526dd7d0b9309c", "generator_version": "3.0"}
{"id": "v3_test_id_00003992", "prompt": "Compute: 73 + (-764) + (-7)", "solution_steps": ["Add: 73 + (-764) = -691", "Add: -691 + (-7) = -698"], "final_answer": "-698", "answer_type": "integer", "kind": "expression", "math_text": "73 + (-764) + (-7)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": -764, \"c\": -7}", "seed": "9195229035147233983", "semantic_fingerprint": "sha256:b46ededb635008b496ae3f282b87716708da914f43c5adb342fd0c18631b40d6", "generator_version": "3.0"}
{"id": "v3_test_id_00003993", "prompt": "Solve the equation -7(x - 86) = x + 562 for x.", "solution_steps": ["Expand: -7x + 602 = x + 562", "Subtract x from both sides: -8x + 602 = 562", "Subtract 602 from both sides: -8x = -40", "Divide both sides by -8: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 86) = x + 562", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 86, \"d\": 562, \"x\": 5}", "seed": "11116397660840188086", "semantic_fingerprint": "sha256:0252a9f7f49207694058a94747386f0fa809609d594bbb60aeb9a074cc4adc87", "generator_version": "3.0"}
{"id": "v3_test_id_00003994", "prompt": "What value of x satisfies x + 9 = 5x?", "solution_steps": ["Subtract 5x from both sides: -4x + 9 = 0", "Subtract 9 from both sides: -4x = -9", "Divide both sides by -4: x = 9/4"], "final_answer": "9/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 9 = 5x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5}", "seed": "8347866597860294594", "semantic_fingerprint": "sha256:32efea097e485149070c9453923688d71d99129a061accd7967864b822376a07", "generator_version": "3.0"}
{"id": "v3_test_id_00003995", "prompt": "Evaluate: 625 * (9 * (3 / 6))", "solution_steps": ["Divide: 3 / 6 = 1/2", "Multiply: 9 * (1/2) = 9/2", "Multiply: 625 * (9/2) = 5625/2"], "final_answer": "5625/2", "answer_type": "rational", "kind": "expression", "math_text": "625 * (9 * (3 / 6))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 625, \"b\": 9, \"c\": 3, \"d\": 6}", "seed": "16220809127392039347", "semantic_fingerprint": "sha256:756deba9ba7500d449b90663e47a802bc2e9a10e3a6a52f5348d9b2079ec8c8e", "generator_version": "3.0"}
{"id": "v3_test_id_00003996", "prompt": "What value of x satisfies 11x = 7(x - 880)?", "solution_steps": ["Expand: 11x = 7x - 6160", "Subtract 7x from both sides: 4x = -6160", "Divide both sides by 4: x = -1540"], "final_answer": "-1540", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = 7(x - 880)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 7, \"c\": 880}", "seed": "2246244597525794788", "semantic_fingerprint": "sha256:1feee473e0a0ac0bdb22cc29b95a143a675dc68dee513c4c84e7120bb27e560d", "generator_version": "3.0"}
{"id": "v3_test_id_00003997", "prompt": "What is 183 + 7 + 856?", "solution_steps": ["Add: 183 + 7 = 190", "Add: 190 + 856 = 1046"], "final_answer": "1046", "answer_type": "integer", "kind": "expression", "math_text": "183 + 7 + 856", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 183, \"b\": 7, \"c\": 856}", "seed": "9374304784926570713", "semantic_fingerprint": "sha256:8aa612376e30ab7234a4bf41fadeda2517165120f1c0b0e08b6b9b1108417512", "generator_version": "3.0"}
{"id": "v3_test_id_00003998", "prompt": "Calculate: -2 / 13 * (-29 * 0)", "solution_steps": ["Divide: -2 / 13 = -2/13", "Multiply: -29 * 0 = 0", "Multiply: (-2/13) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-2 / 13 * (-29 * 0)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 13, \"c\": -29, \"d\": 0}", "seed": "17554805173260933125", "semantic_fingerprint": "sha256:a7b1c9d642853271dc7cc6cf96d468f7e1a0039d8594b0cd6b41ddffb3bd8756", "generator_version": "3.0"}
{"id": "v3_test_id_00003999", "prompt": "Solve the equation 11(x + 78) - 780 = 2(x - 1) - 18 for x.", "solution_steps": ["Expand: 11x + 858 - 780 = 2(x - 1) - 18", "Expand: 11x + 858 - 780 = 2x - 2 - 18", "Combine constants: 11x + 78 = 2x - 2 - 18", "Combine constants: 11x + 78 = 2x - 20", "Subtract 2x from both sides: 9x + 78 = -20", "Subtract 78 from both sides: 9x = -98", "Divide both sides by 9: x = -98/9"], "final_answer": "-98/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 78) - 780 = 2(x - 1) - 18", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 78, \"c\": 780, \"d\": 2, \"e\": 1, \"f\": 18}", "seed": "4436880505495779760", "semantic_fingerprint": "sha256:478ba3cf498cf9a6db5abe27b17d69ed9391c53563bef02afb9a8abe5c9d66f6", "generator_version": "3.0"}
{"id": "v3_test_id_00004000", "prompt": "Evaluate: 1 / 29", "solution_steps": ["Divide: 1 / 29 = 1/29"], "final_answer": "1/29", "answer_type": "rational", "kind": "expression", "math_text": "1 / 29", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 29}", "seed": "6550760303481833032", "semantic_fingerprint": "sha256:22019561118e5aad37c13be87f7eb53066d6bc3e58fd9acbb0ce944b134ffc31", "generator_version": "3.0"}
{"id": "v3_test_id_00004001", "prompt": "What is 21 * (1 - (-5) * 0)?", "solution_steps": ["Multiply: -5 * 0 = 0", "Subtract: 1 - 0 = 1", "Multiply: 21 * 1 = 21"], "final_answer": "21", "answer_type": "integer", "kind": "expression", "math_text": "21 * (1 - (-5) * 0)", "variable": null, "family": "expression_3op", "shape": "(* n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": 1, \"c\": -5, \"d\": 0}", "seed": "13237892533279586963", "semantic_fingerprint": "sha256:06f4b7ec98f3e18c2364b164f5ade3f14c477b0808e585d7e3a3b35ae5548076", "generator_version": "3.0"}
{"id": "v3_test_id_00004002", "prompt": "Compute: 0 * (780 / 20)", "solution_steps": ["Divide: 780 / 20 = 39", "Multiply: 0 * 39 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (780 / 20)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 780, \"c\": 20}", "seed": "12288016525288668393", "semantic_fingerprint": "sha256:25f23534bb8ab911d440085a0741e84de566aa83f58a84730fa29758ea87e462", "generator_version": "3.0"}
{"id": "v3_test_id_00004003", "prompt": "Evaluate: -9 - (273 + (-558))", "solution_steps": ["Add: 273 + (-558) = -285", "Subtract: -9 - (-285) = 276"], "final_answer": "276", "answer_type": "integer", "kind": "expression", "math_text": "-9 - (273 + (-558))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 273, \"c\": -558}", "seed": "14681471138175826728", "semantic_fingerprint": "sha256:044820eb4e7db3d14c3f97d1f78c63159873e4dd500f9236db1f664d21c8f44e", "generator_version": "3.0"}
{"id": "v3_test_id_00004004", "prompt": "What is 550 / 31 * (-7) * (-771 / (-412 + (-88)))?", "solution_steps": ["Divide: 550 / 31 = 550/31", "Multiply: (550/31) * (-7) = -3850/31", "Add: -412 + (-88) = -500", "Divide: -771 / (-500) = 771/500", "Multiply: (-3850/31) * (771/500) = -59367/310"], "final_answer": "-59367/310", "answer_type": "rational", "kind": "expression", "math_text": "550 / 31 * (-7) * (-771 / (-412 + (-88)))", "variable": null, "family": "expression_5op", "shape": "(* (* (/ n n) n) (/ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 550, \"b\": 31, \"c\": -7, \"d\": -771, \"e\": -412, \"f\": -88}", "seed": "13119100129420479996", "semantic_fingerprint": "sha256:5d3c897461dddb539dedc102d4a7f0fc02435f4a89bda503216ec5df24b6ae9d", "generator_version": "3.0"}
{"id": "v3_test_id_00004005", "prompt": "What value of x satisfies x - 1 = 8(x + 7) - 141?", "solution_steps": ["Expand: x - 1 = 8x + 56 - 141", "Combine constants: x - 1 = 8x - 85", "Subtract 8x from both sides: -7x - 1 = -85", "Add 1 to both sides: -7x = -84", "Divide both sides by -7: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 1 = 8(x + 7) - 141", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 8, \"c\": 7, \"e\": -141, \"x\": 12}", "seed": "627222935470658680", "semantic_fingerprint": "sha256:5691cee1f57feab48f018ec66507100e9897fc32ccc6bb549e6c7ff90d17e639", "generator_version": "3.0"}
{"id": "v3_test_id_00004006", "prompt": "Solve the equation x = 12(x + 26) + 6 for x.", "solution_steps": ["Expand: x = 12x + 312 + 6", "Combine constants: x = 12x + 318", "Subtract 12x from both sides: -11x = 318", "Divide both sides by -11: x = -318/11"], "final_answer": "-318/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 12(x + 26) + 6", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 26, \"c\": 6}", "seed": "17615782574305036058", "semantic_fingerprint": "sha256:8146bbf2fe2936a9b05d448c4dda5b5495f317751f2cb10bac4b48351565edc1", "generator_version": "3.0"}
{"id": "v3_test_id_00004007", "prompt": "What is -6 / (97 - 7)?", "solution_steps": ["Subtract: 97 - 7 = 90", "Divide: -6 / 90 = -1/15"], "final_answer": "-1/15", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (97 - 7)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 97, \"c\": 7}", "seed": "6925585197655635262", "semantic_fingerprint": "sha256:972b26eebe4df3221fb1f0295c3c776580bd9940cf70c4988269268b36560f2e", "generator_version": "3.0"}
{"id": "v3_test_id_00004008", "prompt": "Calculate: 82 - (8 - (-598)) + (-6)", "solution_steps": ["Subtract: 8 - (-598) = 606", "Subtract: 82 - 606 = -524", "Add: -524 + (-6) = -530"], "final_answer": "-530", "answer_type": "integer", "kind": "expression", "math_text": "82 - (8 - (-598)) + (-6)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": 8, \"c\": -598, \"d\": -6}", "seed": "7025985520544189048", "semantic_fingerprint": "sha256:45e85441ea85663c06ef6f17c462d4bb8bc97b5869d0aac08ff621da39316bed", "generator_version": "3.0"}
{"id": "v3_test_id_00004009", "prompt": "Evaluate: 3 + 476", "solution_steps": ["Add: 3 + 476 = 479"], "final_answer": "479", "answer_type": "integer", "kind": "expression", "math_text": "3 + 476", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 476}", "seed": "2016865769662853761", "semantic_fingerprint": "sha256:01afd018b3791780fbd705cfe6db3b8d29c62db8da6af6c243b33df48245fa1d", "generator_version": "3.0"}
{"id": "v3_test_id_00004010", "prompt": "What is (885 - 10) * (-4 - 35)?", "solution_steps": ["Subtract: 885 - 10 = 875", "Subtract: -4 - 35 = -39", "Multiply: 875 * (-39) = -34125"], "final_answer": "-34125", "answer_type": "integer", "kind": "expression", "math_text": "(885 - 10) * (-4 - 35)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 885, \"b\": 10, \"c\": -4, \"d\": 35}", "seed": "13158265747502060314", "semantic_fingerprint": "sha256:830d93184c39d4e30288a2eb4c4629715fac025e5c0a864d59180be8812dff60", "generator_version": "3.0"}
{"id": "v3_test_id_00004011", "prompt": "Calculate: 4 - (5 - (-1)) / (-2 + (-46))", "solution_steps": ["Subtract: 5 - (-1) = 6", "Add: -2 + (-46) = -48", "Divide: 6 / (-48) = -1/8", "Subtract: 4 - (-1/8) = 33/8"], "final_answer": "33/8", "answer_type": "rational", "kind": "expression", "math_text": "4 - (5 - (-1)) / (-2 + (-46))", "variable": null, "family": "expression_4op", "shape": "(- n (/ (- n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": -1, \"d\": -2, \"e\": -46}", "seed": "12884340118584779542", "semantic_fingerprint": "sha256:449c983f2e9f939ef84f983caa220039d656fccf3d2f8683e99700ad7a2a907c", "generator_version": "3.0"}
{"id": "v3_test_id_00004012", "prompt": "Solve the equation 3(x + 2) - 18 = x for x.", "solution_steps": ["Expand: 3x + 6 - 18 = x", "Combine constants: 3x - 12 = x", "Subtract x from both sides: 2x - 12 = 0", "Add 12 to both sides: 2x = 12", "Divide both sides by 2: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 2) - 18 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"d\": -18, \"x\": 6}", "seed": "9890170639448947609", "semantic_fingerprint": "sha256:b8ef452ba7e4a40b24b6e5a828ce3b2dc082f9d178ef378974ec332605a6a5cc", "generator_version": "3.0"}
{"id": "v3_test_id_00004013", "prompt": "Solve for x: 3(x + 821) + 1 = 11x + 761", "solution_steps": ["Expand: 3x + 2463 + 1 = 11x + 761", "Combine constants: 3x + 2464 = 11x + 761", "Subtract 11x from both sides: -8x + 2464 = 761", "Subtract 2464 from both sides: -8x = -1703", "Divide both sides by -8: x = 1703/8"], "final_answer": "1703/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 821) + 1 = 11x + 761", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 821, \"c\": 1, \"d\": 11, \"e\": 761}", "seed": "4748246815692099471", "semantic_fingerprint": "sha256:11d7eb8834294ca7d6116a13de1c50bce300cd73ff737336a9fdb3c121875a8a", "generator_version": "3.0"}
{"id": "v3_test_id_00004014", "prompt": "Evaluate: 77 / (-4 - (-5))", "solution_steps": ["Subtract: -4 - (-5) = 1", "Divide: 77 / 1 = 77"], "final_answer": "77", "answer_type": "integer", "kind": "expression", "math_text": "77 / (-4 - (-5))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": -4, \"c\": -5}", "seed": "2243435530094342912", "semantic_fingerprint": "sha256:4db500532d948922260cdf6c8d9ccc3be335d8da35ec70334005e0465f4cf38d", "generator_version": "3.0"}
{"id": "v3_test_id_00004015", "prompt": "What is 67 * 0 / (10 / (-8) / 373)?", "solution_steps": ["Multiply: 67 * 0 = 0", "Divide: 10 / (-8) = -5/4", "Divide: (-5/4) / 373 = -5/1492", "Divide: 0 / (-5/1492) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "67 * 0 / (10 / (-8) / 373)", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (/ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": 0, \"c\": 10, \"d\": -8, \"e\": 373}", "seed": "13671942040996536860", "semantic_fingerprint": "sha256:97b4e3d28a1970b5b98267d92a3313a992c01c756a5d75d6244ea589eb703f6c", "generator_version": "3.0"}
{"id": "v3_test_id_00004016", "prompt": "Evaluate: 3 - 7 * 315", "solution_steps": ["Multiply: 7 * 315 = 2205", "Subtract: 3 - 2205 = -2202"], "final_answer": "-2202", "answer_type": "integer", "kind": "expression", "math_text": "3 - 7 * 315", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": 315}", "seed": "34073144609953499", "semantic_fingerprint": "sha256:25e520d5fcf5bae6b3cd9adfb299488481d2ebe1f0700616737b2089bc684d36", "generator_version": "3.0"}
{"id": "v3_test_id_00004017", "prompt": "Solve for x: 7(x - 6) = 7", "solution_steps": ["Expand: 7x - 42 = 7", "Add 42 to both sides: 7x = 49", "Divide both sides by 7: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 6) = 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"d\": 7, \"x\": 7}", "seed": "16667941167096393982", "semantic_fingerprint": "sha256:cafa2f10c0c8c7b36ce763ed6897ba1e4a6b8ff52711e2a98f922e665b75c5a7", "generator_version": "3.0"}
{"id": "v3_test_id_00004018", "prompt": "What is (-963 + (-559)) / (-3)?", "solution_steps": ["Add: -963 + (-559) = -1522", "Divide: -1522 / (-3) = 1522/3"], "final_answer": "1522/3", "answer_type": "rational", "kind": "expression", "math_text": "(-963 + (-559)) / (-3)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -963, \"b\": -559, \"c\": -3}", "seed": "6018232910056860889", "semantic_fingerprint": "sha256:cf635bdb15dde57b447c6a1a514e8c9a793185421001a5061f58073120b5b83f", "generator_version": "3.0"}
{"id": "v3_test_id_00004019", "prompt": "Evaluate: 51 - (-2 - (-6) - 43 / (-5))", "solution_steps": ["Subtract: -2 - (-6) = 4", "Divide: 43 / (-5) = -43/5", "Subtract: 4 - (-43/5) = 63/5", "Subtract: 51 - 63/5 = 192/5"], "final_answer": "192/5", "answer_type": "rational", "kind": "expression", "math_text": "51 - (-2 - (-6) - 43 / (-5))", "variable": null, "family": "expression_4op", "shape": "(- n (- (- n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": -2, \"c\": -6, \"d\": 43, \"e\": -5}", "seed": "951299257096264449", "semantic_fingerprint": "sha256:61b3238974c2efec90ad537605de86ab372fbc2fcb50ee5585e46a17b33939a8", "generator_version": "3.0"}
{"id": "v3_test_id_00004020", "prompt": "What is -46 / (-99)?", "solution_steps": ["Divide: -46 / (-99) = 46/99"], "final_answer": "46/99", "answer_type": "rational", "kind": "expression", "math_text": "-46 / (-99)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": -99}", "seed": "1386704737872062440", "semantic_fingerprint": "sha256:49782489a72598933fc7369245a8854021d6c4f5ededde1436a62f4824b64ca3", "generator_version": "3.0"}
{"id": "v3_test_id_00004021", "prompt": "What value of x satisfies 12(x - 24) - 6 = x - 338?", "solution_steps": ["Expand: 12x - 288 - 6 = x - 338", "Combine constants: 12x - 294 = x - 338", "Subtract x from both sides: 11x - 294 = -338", "Add 294 to both sides: 11x = -44", "Divide both sides by 11: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 24) - 6 = x - 338", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 24, \"c\": 6, \"e\": -338, \"x\": -4}", "seed": "14850081680026663613", "semantic_fingerprint": "sha256:7a1e2a40d310ffab7edb8c3b74d47d38a5bf24ea0ca72e154edccee62fedf588", "generator_version": "3.0"}
{"id": "v3_test_id_00004022", "prompt": "Solve the equation -5x + 7 = -7x + 7 for x.", "solution_steps": ["Add 7x to both sides: 2x + 7 = 7", "Subtract 7 from both sides: 2x = 0", "Divide both sides by 2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x + 7 = -7x + 7", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 7, \"c\": -7, \"e\": 7, \"x\": 0}", "seed": "134896020495448872", "semantic_fingerprint": "sha256:7de3f2374b5b5f19e277b738bdbaf0c75fc609cca7742b2bc5f50a4b8c837f91", "generator_version": "3.0"}
{"id": "v3_test_id_00004023", "prompt": "Solve the equation 12(x - 7) - 94 = x - 40 for x.", "solution_steps": ["Expand: 12x - 84 - 94 = x - 40", "Combine constants: 12x - 178 = x - 40", "Subtract x from both sides: 11x - 178 = -40", "Add 178 to both sides: 11x = 138", "Divide both sides by 11: x = 138/11"], "final_answer": "138/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 7) - 94 = x - 40", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7, \"c\": 94, \"d\": 40}", "seed": "8657513652025687807", "semantic_fingerprint": "sha256:1b8305be0d27d99a2c5262bfbba3b236a9b812a4f34c39cdb425f5eab6297d3a", "generator_version": "3.0"}
{"id": "v3_test_id_00004024", "prompt": "Solve the equation x = -12x + 143 for x.", "solution_steps": ["Add 12x to both sides: 13x = 143", "Divide both sides by 13: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -12x + 143", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -12, \"c\": 143, \"x\": 11}", "seed": "1450203989591231442", "semantic_fingerprint": "sha256:5ee8ef5319b34cb95fb4d6a28d0d834da7c53064d7de1ca86b6fe9ef86cf892c", "generator_version": "3.0"}
{"id": "v3_test_id_00004025", "prompt": "Calculate: 1 - (-28) + 0", "solution_steps": ["Subtract: 1 - (-28) = 29", "Add: 29 + 0 = 29"], "final_answer": "29", "answer_type": "integer", "kind": "expression", "math_text": "1 - (-28) + 0", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -28, \"c\": 0}", "seed": "7881855510179804829", "semantic_fingerprint": "sha256:40086041b17642d9af17b2ea67d24cd4a502f948a1d68fec67d97dd65038629b", "generator_version": "3.0"}
{"id": "v3_test_id_00004026", "prompt": "What is (-436 - (-190)) * 419?", "solution_steps": ["Subtract: -436 - (-190) = -246", "Multiply: -246 * 419 = -103074"], "final_answer": "-103074", "answer_type": "integer", "kind": "expression", "math_text": "(-436 - (-190)) * 419", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -436, \"b\": -190, \"c\": 419}", "seed": "12660434061685885440", "semantic_fingerprint": "sha256:66e033bd6f4a88aff07b211cd80c397c1f8d7f0535947c6d9e920d43535b82f7", "generator_version": "3.0"}
{"id": "v3_test_id_00004027", "prompt": "What is -827 / (-532)?", "solution_steps": ["Divide: -827 / (-532) = 827/532"], "final_answer": "827/532", "answer_type": "rational", "kind": "expression", "math_text": "-827 / (-532)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -827, \"b\": -532}", "seed": "15781632947239896623", "semantic_fingerprint": "sha256:f5332704d6bc7a4ef1158be73cfcd5715b95a063a8b3047cc59f8c8e182d9858", "generator_version": "3.0"}
{"id": "v3_test_id_00004028", "prompt": "Find x: -6(x + 62) + 9 = 6x", "solution_steps": ["Expand: -6x - 372 + 9 = 6x", "Combine constants: -6x - 363 = 6x", "Subtract 6x from both sides: -12x - 363 = 0", "Add 363 to both sides: -12x = 363", "Divide both sides by -12: x = -121/4"], "final_answer": "-121/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x + 62) + 9 = 6x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 62, \"c\": 9, \"d\": 6}", "seed": "14648472425219828848", "semantic_fingerprint": "sha256:767a2753fa9bb2b8371f7effb36c87ae33810532bae44dc91bfed1eb5dc18ee1", "generator_version": "3.0"}
{"id": "v3_test_id_00004029", "prompt": "Calculate: 0 * (8 + 19)", "solution_steps": ["Add: 8 + 19 = 27", "Multiply: 0 * 27 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (8 + 19)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 8, \"c\": 19}", "seed": "5712705413340594167", "semantic_fingerprint": "sha256:fe3bfa4c9f579dc1baef7da15045b532fbf16ec03b09c1fe13af304db1d567b6", "generator_version": "3.0"}
{"id": "v3_test_id_00004030", "prompt": "Compute: (58 - (-490)) * (0 + (-7 + 23))", "solution_steps": ["Subtract: 58 - (-490) = 548", "Add: -7 + 23 = 16", "Add: 0 + 16 = 16", "Multiply: 548 * 16 = 8768"], "final_answer": "8768", "answer_type": "integer", "kind": "expression", "math_text": "(58 - (-490)) * (0 + (-7 + 23))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": -490, \"c\": 0, \"d\": -7, \"e\": 23}", "seed": "379683230784219148", "semantic_fingerprint": "sha256:fed9e66904e04df2ebded8b1fdcacc247fe819e53e2557453de14be6c1444adc", "generator_version": "3.0"}
{"id": "v3_test_id_00004031", "prompt": "Calculate: 42 / (-1) * 91", "solution_steps": ["Divide: 42 / (-1) = -42", "Multiply: -42 * 91 = -3822"], "final_answer": "-3822", "answer_type": "integer", "kind": "expression", "math_text": "42 / (-1) * 91", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": -1, \"c\": 91}", "seed": "1268404816639176280", "semantic_fingerprint": "sha256:686baffe3176e658f46162f0c4eefe83fe39398c0ba099aa930b20f8948ae679", "generator_version": "3.0"}
{"id": "v3_test_id_00004032", "prompt": "Solve for x: 5x + 99 = x + 99", "solution_steps": ["Subtract x from both sides: 4x + 99 = 99", "Subtract 99 from both sides: 4x = 0", "Divide both sides by 4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 99 = x + 99", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 99, \"d\": 99, \"x\": 0}", "seed": "9370143035403411068", "semantic_fingerprint": "sha256:a3d76a9d566e1cc79235fff882e495ae8949ca4046e26ae108f120fc33a91886", "generator_version": "3.0"}
{"id": "v3_test_id_00004033", "prompt": "Compute: (6 + 62) * (6 / (-4) * (3 * (-7)))", "solution_steps": ["Add: 6 + 62 = 68", "Divide: 6 / (-4) = -3/2", "Multiply: 3 * (-7) = -21", "Multiply: (-3/2) * (-21) = 63/2", "Multiply: 68 * (63/2) = 2142"], "final_answer": "2142", "answer_type": "integer", "kind": "expression", "math_text": "(6 + 62) * (6 / (-4) * (3 * (-7)))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (* (/ n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 62, \"c\": 6, \"d\": -4, \"e\": 3, \"f\": -7}", "seed": "8590323886293801334", "semantic_fingerprint": "sha256:2f57a82c4f595dba5e989c4af1aa0bd03eb41bb9f3a394fb11351f8d647a95e5", "generator_version": "3.0"}
{"id": "v3_test_id_00004034", "prompt": "Calculate: 78 / (-7)", "solution_steps": ["Divide: 78 / (-7) = -78/7"], "final_answer": "-78/7", "answer_type": "rational", "kind": "expression", "math_text": "78 / (-7)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": -7}", "seed": "1016278046349089047", "semantic_fingerprint": "sha256:1d7fdf2891741c26f2301d5d18d396bb928f6e6d579d4e232dfa4f65f3e56ec4", "generator_version": "3.0"}
{"id": "v3_test_id_00004035", "prompt": "Find x: x - 21 = -6(x + 939) - 646", "solution_steps": ["Expand: x - 21 = -6x - 5634 - 646", "Combine constants: x - 21 = -6x - 6280", "Add 6x to both sides: 7x - 21 = -6280", "Add 21 to both sides: 7x = -6259", "Divide both sides by 7: x = -6259/7"], "final_answer": "-6259/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 21 = -6(x + 939) - 646", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": -6, \"c\": 939, \"d\": 646}", "seed": "5799453800488369557", "semantic_fingerprint": "sha256:68102cc25614ec726a117bb90b70640b7d5f366bb045190047adda5d30094d53", "generator_version": "3.0"}
{"id": "v3_test_id_00004036", "prompt": "Solve for x: -12(x - 4) = -96", "solution_steps": ["Expand: -12x + 48 = -96", "Subtract 48 from both sides: -12x = -144", "Divide both sides by -12: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 4) = -96", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 4, \"d\": -96, \"x\": 12}", "seed": "7095484288775941733", "semantic_fingerprint": "sha256:36c4f006bbb9a761f8eaf5acb16140f0d97cc56b54dc70dee044794b1af519c6", "generator_version": "3.0"}
{"id": "v3_test_id_00004037", "prompt": "Evaluate: -294 - (-4 - (-5)) * (-1)", "solution_steps": ["Subtract: -4 - (-5) = 1", "Multiply: 1 * (-1) = -1", "Subtract: -294 - (-1) = -293"], "final_answer": "-293", "answer_type": "integer", "kind": "expression", "math_text": "-294 - (-4 - (-5)) * (-1)", "variable": null, "family": "expression_3op", "shape": "(- n (* (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -294, \"b\": -4, \"c\": -5, \"d\": -1}", "seed": "10419516374783925492", "semantic_fingerprint": "sha256:b3e671b23e834c08a835a35fcf0772866a55c4b65f09361819350b6ce0b1a863", "generator_version": "3.0"}
{"id": "v3_test_id_00004038", "prompt": "What value of x satisfies -6x = x - 112?", "solution_steps": ["Subtract x from both sides: -7x = -112", "Divide both sides by -7: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x = x - 112", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"c\": -112, \"x\": 16}", "seed": "5183443302487603934", "semantic_fingerprint": "sha256:404de48f8a59519ff0cb9b5a95de09a7f65d8e879df54f4b6aaef7151463b354", "generator_version": "3.0"}
{"id": "v3_test_id_00004039", "prompt": "Find x: 6(x + 244) + 91 = 10(x - 454)", "solution_steps": ["Expand: 6x + 1464 + 91 = 10(x - 454)", "Expand: 6x + 1464 + 91 = 10x - 4540", "Combine constants: 6x + 1555 = 10x - 4540", "Subtract 10x from both sides: -4x + 1555 = -4540", "Subtract 1555 from both sides: -4x = -6095", "Divide both sides by -4: x = 6095/4"], "final_answer": "6095/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 244) + 91 = 10(x - 454)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 244, \"c\": 91, \"d\": 10, \"e\": 454}", "seed": "8834794458276461252", "semantic_fingerprint": "sha256:9d5dcaed87c84e4327503df193c1a55b42235b2491e787e4aa6af2c010db4516", "generator_version": "3.0"}
{"id": "v3_test_id_00004040", "prompt": "Compute: -55 / (-5) - (-7) / (-8 / 919)", "solution_steps": ["Divide: -55 / (-5) = 11", "Divide: -8 / 919 = -8/919", "Divide: -7 / (-8/919) = 6433/8", "Subtract: 11 - 6433/8 = -6345/8"], "final_answer": "-6345/8", "answer_type": "rational", "kind": "expression", "math_text": "-55 / (-5) - (-7) / (-8 / 919)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (/ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": -5, \"c\": -7, \"d\": -8, \"e\": 919}", "seed": "14634183676651158360", "semantic_fingerprint": "sha256:34002f100da194c4cc9fd347959805f4d1e03e28e5a3929a7c048bec574b72c2", "generator_version": "3.0"}
{"id": "v3_test_id_00004041", "prompt": "Find x: 2(x - 28) + 42 = x - 479", "solution_steps": ["Expand: 2x - 56 + 42 = x - 479", "Combine constants: 2x - 14 = x - 479", "Subtract x from both sides: x - 14 = -479", "Add 14 to both sides: x = -465"], "final_answer": "-465", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 28) + 42 = x - 479", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 28, \"c\": 42, \"d\": 479}", "seed": "17686585874495196254", "semantic_fingerprint": "sha256:31646850eb164c5c25abbac506179f1db105d80125fc5609a1d03bc056d826fd", "generator_version": "3.0"}
{"id": "v3_test_id_00004042", "prompt": "Find x: 2(x - 57) + 58 = 11x", "solution_steps": ["Expand: 2x - 114 + 58 = 11x", "Combine constants: 2x - 56 = 11x", "Subtract 11x from both sides: -9x - 56 = 0", "Add 56 to both sides: -9x = 56", "Divide both sides by -9: x = -56/9"], "final_answer": "-56/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 57) + 58 = 11x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 57, \"c\": 58, \"d\": 11}", "seed": "13963534447602343465", "semantic_fingerprint": "sha256:12b9ff4ed3ded041dd53cab9b45c1db61c8433172ba667af58d4de0a08098e2e", "generator_version": "3.0"}
{"id": "v3_test_id_00004043", "prompt": "Find x: -12x = 11(x - 79) + 938", "solution_steps": ["Expand: -12x = 11x - 869 + 938", "Combine constants: -12x = 11x + 69", "Subtract 11x from both sides: -23x = 69", "Divide both sides by -23: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x = 11(x - 79) + 938", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 11, \"c\": 79, \"e\": 938, \"x\": -3}", "seed": "12952737920114330677", "semantic_fingerprint": "sha256:3e0b4062076f05c01582ee0c45524a6cb2582b7ee4e88ebd829ba4412ea04996", "generator_version": "3.0"}
{"id": "v3_test_id_00004044", "prompt": "Calculate: 0 + 62", "solution_steps": ["Add: 0 + 62 = 62"], "final_answer": "62", "answer_type": "integer", "kind": "expression", "math_text": "0 + 62", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 62}", "seed": "15873319153650423641", "semantic_fingerprint": "sha256:0e567a75c8f9a611b4b82251306218bd7ea22d0ca4640d5e501efc6565f57b0b", "generator_version": "3.0"}
{"id": "v3_test_id_00004045", "prompt": "Solve the equation -6x - 131 = 8(x + 35) - 173 for x.", "solution_steps": ["Expand: -6x - 131 = 8x + 280 - 173", "Combine constants: -6x - 131 = 8x + 107", "Subtract 8x from both sides: -14x - 131 = 107", "Add 131 to both sides: -14x = 238", "Divide both sides by -14: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x - 131 = 8(x + 35) - 173", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 131, \"c\": 8, \"d\": 35, \"f\": -173, \"x\": -17}", "seed": "1220839035782088677", "semantic_fingerprint": "sha256:9b9a61081ec71811ff97392b95aeaf49267b772583716e65fcb2dff8d1003abd", "generator_version": "3.0"}
{"id": "v3_test_id_00004046", "prompt": "What is -111 / (-594) - (-5 - 1)?", "solution_steps": ["Divide: -111 / (-594) = 37/198", "Subtract: -5 - 1 = -6", "Subtract: 37/198 - (-6) = 1225/198"], "final_answer": "1225/198", "answer_type": "rational", "kind": "expression", "math_text": "-111 / (-594) - (-5 - 1)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -111, \"b\": -594, \"c\": -5, \"d\": 1}", "seed": "17593276425342747373", "semantic_fingerprint": "sha256:ed325e096e3cd7bd888f87b34e121ea817e03bb1ead7ccc4532e87dbc64d3266", "generator_version": "3.0"}
{"id": "v3_test_id_00004047", "prompt": "What is -3 / (-64 - 0 - (0 + 684))?", "solution_steps": ["Subtract: -64 - 0 = -64", "Add: 0 + 684 = 684", "Subtract: -64 - 684 = -748", "Divide: -3 / (-748) = 3/748"], "final_answer": "3/748", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-64 - 0 - (0 + 684))", "variable": null, "family": "expression_4op", "shape": "(/ n (- (- n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -64, \"c\": 0, \"d\": 0, \"e\": 684}", "seed": "3500188632579549160", "semantic_fingerprint": "sha256:7b58a8d4ababe9606c96a12b712ebb9a2d60c44e4c25e8a5c08a263d906739cb", "generator_version": "3.0"}
{"id": "v3_test_id_00004048", "prompt": "Solve the equation x + 26 = 2(x + 71) - 125 for x.", "solution_steps": ["Expand: x + 26 = 2x + 142 - 125", "Combine constants: x + 26 = 2x + 17", "Subtract 2x from both sides: -x + 26 = 17", "Subtract 26 from both sides: -x = -9", "Divide both sides by -1: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 26 = 2(x + 71) - 125", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": 2, \"c\": 71, \"e\": -125, \"x\": 9}", "seed": "8285603968720230612", "semantic_fingerprint": "sha256:06bbb7144c2c598654e4b71c4f3f3f27dbce24583e4705f6e70b9020f2dbfe60", "generator_version": "3.0"}
{"id": "v3_test_id_00004049", "prompt": "What value of x satisfies 11x = 12x?", "solution_steps": ["Subtract 12x from both sides: -x = 0", "Divide both sides by -1: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = 12x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 12}", "seed": "1220142055059928795", "semantic_fingerprint": "sha256:784d7b32d323814177a6f2d207947960f0a50376625dd515f81b6b4305a5c4e5", "generator_version": "3.0"}
{"id": "v3_test_id_00004050", "prompt": "Find x: x = 9x + 8", "solution_steps": ["Subtract 9x from both sides: -8x = 8", "Divide both sides by -8: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 9x + 8", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"c\": 8, \"x\": -1}", "seed": "1875408093520578", "semantic_fingerprint": "sha256:469f2662abaff672e05b9d29c8315e2c2c6b8c0fe539dc64b7a5e152244f4a8b", "generator_version": "3.0"}
{"id": "v3_test_id_00004051", "prompt": "Evaluate: -78 - (-91 - 11)", "solution_steps": ["Subtract: -91 - 11 = -102", "Subtract: -78 - (-102) = 24"], "final_answer": "24", "answer_type": "integer", "kind": "expression", "math_text": "-78 - (-91 - 11)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": -91, \"c\": 11}", "seed": "13589511895784088607", "semantic_fingerprint": "sha256:733e914e25dec50e639c0790f0a44edbad8b86dcd1c30a274f5f594f201d976f", "generator_version": "3.0"}
{"id": "v3_test_id_00004052", "prompt": "Compute: -780 * (-1) - (-72) * (-1)", "solution_steps": ["Multiply: -780 * (-1) = 780", "Multiply: -72 * (-1) = 72", "Subtract: 780 - 72 = 708"], "final_answer": "708", "answer_type": "integer", "kind": "expression", "math_text": "-780 * (-1) - (-72) * (-1)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -780, \"b\": -1, \"c\": -72, \"d\": -1}", "seed": "74984012806698108", "semantic_fingerprint": "sha256:85946ef7ec097e9240b309cbce7cb28545a448eec73562d588aa45618fe39e60", "generator_version": "3.0"}
{"id": "v3_test_id_00004053", "prompt": "Evaluate: (-31 - (-1)) / 559", "solution_steps": ["Subtract: -31 - (-1) = -30", "Divide: -30 / 559 = -30/559"], "final_answer": "-30/559", "answer_type": "rational", "kind": "expression", "math_text": "(-31 - (-1)) / 559", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -31, \"b\": -1, \"c\": 559}", "seed": "1127833932337432263", "semantic_fingerprint": "sha256:dceb5f6d4d4024ef003fa23e7320057304432bcd7947e6c361d3fa838fc9ba94", "generator_version": "3.0"}
{"id": "v3_test_id_00004054", "prompt": "Calculate: (-66 + (-97)) * (103 / 788)", "solution_steps": ["Add: -66 + (-97) = -163", "Divide: 103 / 788 = 103/788", "Multiply: -163 * (103/788) = -16789/788"], "final_answer": "-16789/788", "answer_type": "rational", "kind": "expression", "math_text": "(-66 + (-97)) * (103 / 788)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": -97, \"c\": 103, \"d\": 788}", "seed": "15663406157549255809", "semantic_fingerprint": "sha256:41ffd9bf3f8aca77568e5f4e984b59808fda3a5961ddfba6140cdfc9f85d0d85", "generator_version": "3.0"}
{"id": "v3_test_id_00004055", "prompt": "Evaluate: (-645 * (-9) + 13) * (-53 + (-1) - (-63))", "solution_steps": ["Multiply: -645 * (-9) = 5805", "Add: 5805 + 13 = 5818", "Add: -53 + (-1) = -54", "Subtract: -54 - (-63) = 9", "Multiply: 5818 * 9 = 52362"], "final_answer": "52362", "answer_type": "integer", "kind": "expression", "math_text": "(-645 * (-9) + 13) * (-53 + (-1) - (-63))", "variable": null, "family": "expression_5op", "shape": "(* (+ (* n n) n) (- (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -645, \"b\": -9, \"c\": 13, \"d\": -53, \"e\": -1, \"f\": -63}", "seed": "7231980287442009122", "semantic_fingerprint": "sha256:b9cc0ea305741a2024bb43906d0d8e95302dbe01f373e7b98e731cbb658e5b8a", "generator_version": "3.0"}
{"id": "v3_test_id_00004056", "prompt": "Compute: 6 * ((91 - (-1)) * 97)", "solution_steps": ["Subtract: 91 - (-1) = 92", "Multiply: 92 * 97 = 8924", "Multiply: 6 * 8924 = 53544"], "final_answer": "53544", "answer_type": "integer", "kind": "expression", "math_text": "6 * ((91 - (-1)) * 97)", "variable": null, "family": "expression_3op", "shape": "(* n (* (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 91, \"c\": -1, \"d\": 97}", "seed": "16284894065717609324", "semantic_fingerprint": "sha256:1909ba38cf7e2caf0b682a53309bb668f7d930f1d79a6718bc48ae8b92039e27", "generator_version": "3.0"}
{"id": "v3_test_id_00004057", "prompt": "Evaluate: -1 - (-14)", "solution_steps": ["Subtract: -1 - (-14) = 13"], "final_answer": "13", "answer_type": "integer", "kind": "expression", "math_text": "-1 - (-14)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -14}", "seed": "14509467879356506682", "semantic_fingerprint": "sha256:c68ea72b489159a796ce02d673e888f63791ca689556dc54431cde06d515b187", "generator_version": "3.0"}
{"id": "v3_test_id_00004058", "prompt": "Solve the equation x = -7x - 92 for x.", "solution_steps": ["Add 7x to both sides: 8x = -92", "Divide both sides by 8: x = -23/2"], "final_answer": "-23/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -7x - 92", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 92}", "seed": "7578993346778351923", "semantic_fingerprint": "sha256:327e4ef4fffb948765f4eb2cd58b094b4feb17e2c8defdd798ec9c45fc30a4a5", "generator_version": "3.0"}
{"id": "v3_test_id_00004059", "prompt": "Evaluate: -73 / (8 - 58) * (-7) + (-8)", "solution_steps": ["Subtract: 8 - 58 = -50", "Divide: -73 / (-50) = 73/50", "Multiply: (73/50) * (-7) = -511/50", "Add: -511/50 + (-8) = -911/50"], "final_answer": "-911/50", "answer_type": "rational", "kind": "expression", "math_text": "-73 / (8 - 58) * (-7) + (-8)", "variable": null, "family": "expression_4op", "shape": "(+ (* (/ n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": 8, \"c\": 58, \"d\": -7, \"e\": -8}", "seed": "398624799337147412", "semantic_fingerprint": "sha256:69d7e2e375715ab0b516802b1209e11d3f39abafb22351489aab58498b728a9a", "generator_version": "3.0"}
{"id": "v3_test_id_00004060", "prompt": "What is (-5 / 11 + (-6) + (-36) / (-81)) / (-39)?", "solution_steps": ["Divide: -5 / 11 = -5/11", "Add: -5/11 + (-6) = -71/11", "Divide: -36 / (-81) = 4/9", "Add: -71/11 + 4/9 = -595/99", "Divide: (-595/99) / (-39) = 595/3861"], "final_answer": "595/3861", "answer_type": "rational", "kind": "expression", "math_text": "(-5 / 11 + (-6) + (-36) / (-81)) / (-39)", "variable": null, "family": "expression_5op", "shape": "(/ (+ (+ (/ n n) n) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 11, \"c\": -6, \"d\": -36, \"e\": -81, \"f\": -39}", "seed": "2404594463032749105", "semantic_fingerprint": "sha256:c7a875ea901afa254ca8ed7e1242724e3409085b1679102738153ff828a626f1", "generator_version": "3.0"}
{"id": "v3_test_id_00004061", "prompt": "Solve the equation 5x = -3(x + 4) for x.", "solution_steps": ["Expand: 5x = -3x - 12", "Add 3x to both sides: 8x = -12", "Divide both sides by 8: x = -3/2"], "final_answer": "-3/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x = -3(x + 4)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -3, \"c\": 4}", "seed": "7177711189040120307", "semantic_fingerprint": "sha256:af41b820c53013b7309526ce508c6c51c17a20161705843849bd1f19b060f1e2", "generator_version": "3.0"}
{"id": "v3_test_id_00004062", "prompt": "Calculate: -4 + 305 / (-38)", "solution_steps": ["Divide: 305 / (-38) = -305/38", "Add: -4 + (-305/38) = -457/38"], "final_answer": "-457/38", "answer_type": "rational", "kind": "expression", "math_text": "-4 + 305 / (-38)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 305, \"c\": -38}", "seed": "10819655833741946313", "semantic_fingerprint": "sha256:4a100049303b1be734e0e84f7bf4cfe0c4f38208cd2b428c1c769153797a6cd2", "generator_version": "3.0"}
{"id": "v3_test_id_00004063", "prompt": "Calculate: (719 - (-6)) * (-8)", "solution_steps": ["Subtract: 719 - (-6) = 725", "Multiply: 725 * (-8) = -5800"], "final_answer": "-5800", "answer_type": "integer", "kind": "expression", "math_text": "(719 - (-6)) * (-8)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 719, \"b\": -6, \"c\": -8}", "seed": "8327564286260980355", "semantic_fingerprint": "sha256:e7c1c086bb5fe746397ebfb4d863cb7595ccc58edda7503c0c694acfc2726c4b", "generator_version": "3.0"}
{"id": "v3_test_id_00004064", "prompt": "Evaluate: 63 * (-282)", "solution_steps": ["Multiply: 63 * (-282) = -17766"], "final_answer": "-17766", "answer_type": "integer", "kind": "expression", "math_text": "63 * (-282)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": -282}", "seed": "4995178410906080197", "semantic_fingerprint": "sha256:0bfee893561adf71e7ce20980857036e9669f3e896c1cc8190ad80fc7df83735", "generator_version": "3.0"}
{"id": "v3_test_id_00004065", "prompt": "Calculate: 3 + (-95) * (8 / 789) * (22 + 81)", "solution_steps": ["Divide: 8 / 789 = 8/789", "Multiply: -95 * (8/789) = -760/789", "Add: 22 + 81 = 103", "Multiply: (-760/789) * 103 = -78280/789", "Add: 3 + (-78280/789) = -75913/789"], "final_answer": "-75913/789", "answer_type": "rational", "kind": "expression", "math_text": "3 + (-95) * (8 / 789) * (22 + 81)", "variable": null, "family": "expression_5op", "shape": "(+ n (* (* n (/ n n)) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -95, \"c\": 8, \"d\": 789, \"e\": 22, \"f\": 81}", "seed": "6443183126096666406", "semantic_fingerprint": "sha256:9660d2d6023407d23658ac15e9399ecfed454249f6653a2bc5c89ba7cb35dd84", "generator_version": "3.0"}
{"id": "v3_test_id_00004066", "prompt": "Compute: -94 / (-102) / (-65)", "solution_steps": ["Divide: -94 / (-102) = 47/51", "Divide: (47/51) / (-65) = -47/3315"], "final_answer": "-47/3315", "answer_type": "rational", "kind": "expression", "math_text": "-94 / (-102) / (-65)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": -102, \"c\": -65}", "seed": "4123813090295701365", "semantic_fingerprint": "sha256:2b2ec034cc13edba989c744edc92ac7a212adf0567b90b5e438d040eebf448b1", "generator_version": "3.0"}
{"id": "v3_test_id_00004067", "prompt": "Solve the equation -8(x - 96) = -9(x + 40) for x.", "solution_steps": ["Expand: -8x + 768 = -9(x + 40)", "Expand: -8x + 768 = -9x - 360", "Add 9x to both sides: x + 768 = -360", "Subtract 768 from both sides: x = -1128"], "final_answer": "-1128", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 96) = -9(x + 40)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 96, \"c\": -9, \"d\": 40}", "seed": "5934420559290615461", "semantic_fingerprint": "sha256:08401b17483963c435411fccd5136de1d3820622632731e0e96fa745f1dc7e13", "generator_version": "3.0"}
{"id": "v3_test_id_00004068", "prompt": "What value of x satisfies x + 83 = 6x + 9?", "solution_steps": ["Subtract 6x from both sides: -5x + 83 = 9", "Subtract 83 from both sides: -5x = -74", "Divide both sides by -5: x = 74/5"], "final_answer": "74/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 83 = 6x + 9", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 6, \"c\": 9}", "seed": "12377610431536846201", "semantic_fingerprint": "sha256:b59ece69f1e255d465696e1013e4d5aa18fc43b9a3b4de0771c5b3538cb41b56", "generator_version": "3.0"}
{"id": "v3_test_id_00004069", "prompt": "Find x: 2(x + 8) = 3x + 25", "solution_steps": ["Expand: 2x + 16 = 3x + 25", "Subtract 3x from both sides: -x + 16 = 25", "Subtract 16 from both sides: -x = 9", "Divide both sides by -1: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 8) = 3x + 25", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 3, \"e\": 25, \"x\": -9}", "seed": "3177873067947174050", "semantic_fingerprint": "sha256:32a8a4fb1acf6c516c3b4315988b95836199c498387833e99d4c41a13e40558f", "generator_version": "3.0"}
{"id": "v3_test_id_00004070", "prompt": "Solve the equation 11(x + 894) - 1 = 12(x + 207) - 8 for x.", "solution_steps": ["Expand: 11x + 9834 - 1 = 12(x + 207) - 8", "Expand: 11x + 9834 - 1 = 12x + 2484 - 8", "Combine constants: 11x + 9833 = 12x + 2484 - 8", "Combine constants: 11x + 9833 = 12x + 2476", "Subtract 12x from both sides: -x + 9833 = 2476", "Subtract 9833 from both sides: -x = -7357", "Divide both sides by -1: x = 7357"], "final_answer": "7357", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 894) - 1 = 12(x + 207) - 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 894, \"c\": 1, \"d\": 12, \"e\": 207, \"f\": 8}", "seed": "8418283951672055049", "semantic_fingerprint": "sha256:ce9394176c8352d32722bf6d1e61fd070b14296aa849af38391359fe921d96b6", "generator_version": "3.0"}
{"id": "v3_test_id_00004071", "prompt": "What is 25 / (275 / 22 + (-86))?", "solution_steps": ["Divide: 275 / 22 = 25/2", "Add: 25/2 + (-86) = -147/2", "Divide: 25 / (-147/2) = -50/147"], "final_answer": "-50/147", "answer_type": "rational", "kind": "expression", "math_text": "25 / (275 / 22 + (-86))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": 275, \"c\": 22, \"d\": -86}", "seed": "17633271565803798963", "semantic_fingerprint": "sha256:b5a079c86635e6cceca9a4028f46b164581b92825ba37979f5adff522bce24c4", "generator_version": "3.0"}
{"id": "v3_test_id_00004072", "prompt": "Solve the equation 3x = -42 for x.", "solution_steps": ["Divide both sides by 3: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = -42", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"c\": -42, \"x\": -14}", "seed": "15957269747842789987", "semantic_fingerprint": "sha256:277cb326c7843bbfaf7db1889e7ad5c2dbdc603ede45201e6f8cce8135be71e7", "generator_version": "3.0"}
{"id": "v3_test_id_00004073", "prompt": "Find x: 4(x + 8) = 12x + 40", "solution_steps": ["Expand: 4x + 32 = 12x + 40", "Subtract 12x from both sides: -8x + 32 = 40", "Subtract 32 from both sides: -8x = 8", "Divide both sides by -8: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 8) = 12x + 40", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 8, \"c\": 12, \"e\": 40, \"x\": -1}", "seed": "9845458402782777932", "semantic_fingerprint": "sha256:159f77c4dca09008357170c1e01826ff1bcd3c48ce852237d7999c3c050563ba", "generator_version": "3.0"}
{"id": "v3_test_id_00004074", "prompt": "What is 43 / 93 + (-25)?", "solution_steps": ["Divide: 43 / 93 = 43/93", "Add: 43/93 + (-25) = -2282/93"], "final_answer": "-2282/93", "answer_type": "rational", "kind": "expression", "math_text": "43 / 93 + (-25)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": 93, \"c\": -25}", "seed": "14286568818522422287", "semantic_fingerprint": "sha256:7664d3f476686c013369bb82ec040b454227697b0ca4e3152c0fa50d4c295d6d", "generator_version": "3.0"}
{"id": "v3_test_id_00004075", "prompt": "What is 87 / (-3)?", "solution_steps": ["Divide: 87 / (-3) = -29"], "final_answer": "-29", "answer_type": "integer", "kind": "expression", "math_text": "87 / (-3)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 87, \"b\": -3}", "seed": "3211253633473214384", "semantic_fingerprint": "sha256:747e36830456c157f41b6a7de20e7ffb3aa235dbb5dc8657a680390b1ec65811", "generator_version": "3.0"}
{"id": "v3_test_id_00004076", "prompt": "Evaluate: -86 - (-11 - (-8)) * (-77 + (18 - (-5)))", "solution_steps": ["Subtract: -11 - (-8) = -3", "Subtract: 18 - (-5) = 23", "Add: -77 + 23 = -54", "Multiply: -3 * (-54) = 162", "Subtract: -86 - 162 = -248"], "final_answer": "-248", "answer_type": "integer", "kind": "expression", "math_text": "-86 - (-11 - (-8)) * (-77 + (18 - (-5)))", "variable": null, "family": "expression_5op", "shape": "(- n (* (- n n) (+ n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": -11, \"c\": -8, \"d\": -77, \"e\": 18, \"f\": -5}", "seed": "12413323680837939407", "semantic_fingerprint": "sha256:9fe0b860143cf22bea3c3935523d5492c7e88582af0493090a9e392e46ecc789", "generator_version": "3.0"}
{"id": "v3_test_id_00004077", "prompt": "Compute: -72 * (-3) * (41 * (-5 / (-1)))", "solution_steps": ["Multiply: -72 * (-3) = 216", "Divide: -5 / (-1) = 5", "Multiply: 41 * 5 = 205", "Multiply: 216 * 205 = 44280"], "final_answer": "44280", "answer_type": "integer", "kind": "expression", "math_text": "-72 * (-3) * (41 * (-5 / (-1)))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (* n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": -3, \"c\": 41, \"d\": -5, \"e\": -1}", "seed": "8822500210449924216", "semantic_fingerprint": "sha256:2219e0e00fa04bde5cb81a9cb788ddcc249121a5f412d8a475a0cfcc8d75f484", "generator_version": "3.0"}
{"id": "v3_test_id_00004078", "prompt": "Compute: (0 / 5 + 57 * (-1)) / 58", "solution_steps": ["Divide: 0 / 5 = 0", "Multiply: 57 * (-1) = -57", "Add: 0 + (-57) = -57", "Divide: -57 / 58 = -57/58"], "final_answer": "-57/58", "answer_type": "rational", "kind": "expression", "math_text": "(0 / 5 + 57 * (-1)) / 58", "variable": null, "family": "expression_4op", "shape": "(/ (+ (/ n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 5, \"c\": 57, \"d\": -1, \"e\": 58}", "seed": "6767181026280862439", "semantic_fingerprint": "sha256:838e5c3f94ff9f40be35a4f23c97a7916df8dd5d24f85b8e1699f0cb59868fc3", "generator_version": "3.0"}
{"id": "v3_test_id_00004079", "prompt": "Evaluate: -6 / (1 * (-8) - 3)", "solution_steps": ["Multiply: 1 * (-8) = -8", "Subtract: -8 - 3 = -11", "Divide: -6 / (-11) = 6/11"], "final_answer": "6/11", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (1 * (-8) - 3)", "variable": null, "family": "expression_3op", "shape": "(/ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 1, \"c\": -8, \"d\": 3}", "seed": "13829542927284580174", "semantic_fingerprint": "sha256:57ae4a40b95c995fd3887abff9663f1f1cd227b6252facd193aa76378f090a3c", "generator_version": "3.0"}
{"id": "v3_test_id_00004080", "prompt": "Solve the equation 7(x - 63) = 8x for x.", "solution_steps": ["Expand: 7x - 441 = 8x", "Subtract 8x from both sides: -x - 441 = 0", "Add 441 to both sides: -x = 441", "Divide both sides by -1: x = -441"], "final_answer": "-441", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 63) = 8x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 63, \"c\": 8}", "seed": "15285859661007820027", "semantic_fingerprint": "sha256:739db42a00d7ba3234d00432d712c98047cf4d9c0805e75b846d531e5bead122", "generator_version": "3.0"}
{"id": "v3_test_id_00004081", "prompt": "Evaluate: (54 - 223) / (-24)", "solution_steps": ["Subtract: 54 - 223 = -169", "Divide: -169 / (-24) = 169/24"], "final_answer": "169/24", "answer_type": "rational", "kind": "expression", "math_text": "(54 - 223) / (-24)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 223, \"c\": -24}", "seed": "4794688048832061656", "semantic_fingerprint": "sha256:80a75aaad06ebc498d7bd8368ec94c0961dcd16a5ae688f97769888f30a1d541", "generator_version": "3.0"}
{"id": "v3_test_id_00004082", "prompt": "Find x: -5x = 6(x - 64) + 197", "solution_steps": ["Expand: -5x = 6x - 384 + 197", "Combine constants: -5x = 6x - 187", "Subtract 6x from both sides: -11x = -187", "Divide both sides by -11: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x = 6(x - 64) + 197", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 6, \"c\": 64, \"e\": 197, \"x\": 17}", "seed": "13775160824484638058", "semantic_fingerprint": "sha256:8fbf192253f4ca169bae942d82aeaf5945de126f5437ed0ddc5b22b5d90df755", "generator_version": "3.0"}
{"id": "v3_test_id_00004083", "prompt": "Evaluate: (-287 + (-86)) / (2 - (-5) - (-32) / 3)", "solution_steps": ["Add: -287 + (-86) = -373", "Subtract: 2 - (-5) = 7", "Divide: -32 / 3 = -32/3", "Subtract: 7 - (-32/3) = 53/3", "Divide: -373 / (53/3) = -1119/53"], "final_answer": "-1119/53", "answer_type": "rational", "kind": "expression", "math_text": "(-287 + (-86)) / (2 - (-5) - (-32) / 3)", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (- (- n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -287, \"b\": -86, \"c\": 2, \"d\": -5, \"e\": -32, \"f\": 3}", "seed": "5892931533526640228", "semantic_fingerprint": "sha256:0ec308bcf6ae28e0d614d9c68dd60df3c5606c3494ad19bf6581a88dcd08b051", "generator_version": "3.0"}
{"id": "v3_test_id_00004084", "prompt": "Compute: 3 + (26 * 96 - (-6) / (-73))", "solution_steps": ["Multiply: 26 * 96 = 2496", "Divide: -6 / (-73) = 6/73", "Subtract: 2496 - 6/73 = 182202/73", "Add: 3 + 182202/73 = 182421/73"], "final_answer": "182421/73", "answer_type": "rational", "kind": "expression", "math_text": "3 + (26 * 96 - (-6) / (-73))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (* n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 26, \"c\": 96, \"d\": -6, \"e\": -73}", "seed": "17668605621066081839", "semantic_fingerprint": "sha256:98b9d8b248fe6b07efbc0cdc8056eadee757521149754dfdf3c175ed2db8383a", "generator_version": "3.0"}
{"id": "v3_test_id_00004085", "prompt": "Compute: -47 - (-76)", "solution_steps": ["Subtract: -47 - (-76) = 29"], "final_answer": "29", "answer_type": "integer", "kind": "expression", "math_text": "-47 - (-76)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": -76}", "seed": "16035409737838838432", "semantic_fingerprint": "sha256:6a3ba6e21f16bf9707dde70196a4e9933598cd8c338b1e4850c0980a0f9b27aa", "generator_version": "3.0"}
{"id": "v3_test_id_00004086", "prompt": "Find x: 12(x - 70) = 7(x + 7) - 849", "solution_steps": ["Expand: 12x - 840 = 7(x + 7) - 849", "Expand: 12x - 840 = 7x + 49 - 849", "Combine constants: 12x - 840 = 7x - 800", "Subtract 7x from both sides: 5x - 840 = -800", "Add 840 to both sides: 5x = 40", "Divide both sides by 5: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 70) = 7(x + 7) - 849", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 70, \"c\": 7, \"d\": 7, \"f\": -849, \"x\": 8}", "seed": "5295127056161183203", "semantic_fingerprint": "sha256:c461711969897424ad6b9724bb8f262cc6403762fe0d996914d5996667849440", "generator_version": "3.0"}
{"id": "v3_test_id_00004087", "prompt": "Calculate: 24 / (-1 - (-76)) - (-8) * 966", "solution_steps": ["Subtract: -1 - (-76) = 75", "Divide: 24 / 75 = 8/25", "Multiply: -8 * 966 = -7728", "Subtract: 8/25 - (-7728) = 193208/25"], "final_answer": "193208/25", "answer_type": "rational", "kind": "expression", "math_text": "24 / (-1 - (-76)) - (-8) * 966", "variable": null, "family": "expression_4op", "shape": "(- (/ n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": -1, \"c\": -76, \"d\": -8, \"e\": 966}", "seed": "8946556698020411897", "semantic_fingerprint": "sha256:945e9c2d560648eb8fcd84b97d21b45d7d956a602960caa619dd92d7c388bee8", "generator_version": "3.0"}
{"id": "v3_test_id_00004088", "prompt": "Solve the equation 12(x - 24) = x for x.", "solution_steps": ["Expand: 12x - 288 = x", "Subtract x from both sides: 11x - 288 = 0", "Add 288 to both sides: 11x = 288", "Divide both sides by 11: x = 288/11"], "final_answer": "288/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 24) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 24}", "seed": "11864620645569649308", "semantic_fingerprint": "sha256:b8eecedc7393af1eb9663cd51f953b4f722fadff8a5f9210764a7c0b8237e0e9", "generator_version": "3.0"}
{"id": "v3_test_id_00004089", "prompt": "Find x: 11x + 7 = x", "solution_steps": ["Subtract x from both sides: 10x + 7 = 0", "Subtract 7 from both sides: 10x = -7", "Divide both sides by 10: x = -7/10"], "final_answer": "-7/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x + 7 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 7}", "seed": "11756664286583258521", "semantic_fingerprint": "sha256:8f5c16b7d90e80d1971e7032c832e46dfb81f932e59cb2fd6088904605d5c5fc", "generator_version": "3.0"}
{"id": "v3_test_id_00004090", "prompt": "Solve for x: 2(x + 3) = 4(x + 39)", "solution_steps": ["Expand: 2x + 6 = 4(x + 39)", "Expand: 2x + 6 = 4x + 156", "Subtract 4x from both sides: -2x + 6 = 156", "Subtract 6 from both sides: -2x = 150", "Divide both sides by -2: x = -75"], "final_answer": "-75", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 3) = 4(x + 39)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": 4, \"d\": 39}", "seed": "15536951227927616107", "semantic_fingerprint": "sha256:6c7be2abe067ddcbc76a4950d8a091162467d5bb89113362ec004bf8c8da8e7f", "generator_version": "3.0"}
{"id": "v3_test_id_00004091", "prompt": "Solve for x: -9(x - 19) = -11x", "solution_steps": ["Expand: -9x + 171 = -11x", "Add 11x to both sides: 2x + 171 = 0", "Subtract 171 from both sides: 2x = -171", "Divide both sides by 2: x = -171/2"], "final_answer": "-171/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 19) = -11x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 19, \"c\": -11}", "seed": "12905683347034205336", "semantic_fingerprint": "sha256:d48a9e424ec19e9d98f50175787842561be515191fef5721d336fac6fb0cf4e2", "generator_version": "3.0"}
{"id": "v3_test_id_00004092", "prompt": "What value of x satisfies -7(x - 1) + 629 = x - 93?", "solution_steps": ["Expand: -7x + 7 + 629 = x - 93", "Combine constants: -7x + 636 = x - 93", "Subtract x from both sides: -8x + 636 = -93", "Subtract 636 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": "-7(x - 1) + 629 = x - 93", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 1, \"c\": 629, \"d\": 93}", "seed": "7769190740216485086", "semantic_fingerprint": "sha256:bfe3210a00e2c165f7d24d2a4bb284c17d3b870e9215c0f1be5ded390af68afd", "generator_version": "3.0"}
{"id": "v3_test_id_00004093", "prompt": "Solve for x: 4(x - 19) = -4(x - 1) + 8", "solution_steps": ["Expand: 4x - 76 = -4(x - 1) + 8", "Expand: 4x - 76 = -4x + 4 + 8", "Combine constants: 4x - 76 = -4x + 12", "Add 4x to both sides: 8x - 76 = 12", "Add 76 to both sides: 8x = 88", "Divide both sides by 8: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 19) = -4(x - 1) + 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 19, \"c\": -4, \"d\": 1, \"f\": 8, \"x\": 11}", "seed": "16693770917758658085", "semantic_fingerprint": "sha256:7b408d54e7a8f1bce1b3457ce09d17b844d4ed06f5af091dd0f6ac86e659211c", "generator_version": "3.0"}
{"id": "v3_test_id_00004094", "prompt": "What is 49 * (2 / 55 * 76)?", "solution_steps": ["Divide: 2 / 55 = 2/55", "Multiply: (2/55) * 76 = 152/55", "Multiply: 49 * (152/55) = 7448/55"], "final_answer": "7448/55", "answer_type": "rational", "kind": "expression", "math_text": "49 * (2 / 55 * 76)", "variable": null, "family": "expression_3op", "shape": "(* n (* (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": 2, \"c\": 55, \"d\": 76}", "seed": "10699172213455637874", "semantic_fingerprint": "sha256:70df7ff2e5bdbcdcfd559fe529d0c601cf2796dd802bfd5b4e5ee510a07d6e2c", "generator_version": "3.0"}
{"id": "v3_test_id_00004095", "prompt": "Compute: -9 - (-1) - 40", "solution_steps": ["Subtract: -9 - (-1) = -8", "Subtract: -8 - 40 = -48"], "final_answer": "-48", "answer_type": "integer", "kind": "expression", "math_text": "-9 - (-1) - 40", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -1, \"c\": 40}", "seed": "5238505438152600675", "semantic_fingerprint": "sha256:b6ea914a0f13945a859054f5307895a4556520999558a869b78dd72c2935b6a9", "generator_version": "3.0"}
{"id": "v3_test_id_00004096", "prompt": "What value of x satisfies x + 73 = -8(x + 3) - 2?", "solution_steps": ["Expand: x + 73 = -8x - 24 - 2", "Combine constants: x + 73 = -8x - 26", "Add 8x to both sides: 9x + 73 = -26", "Subtract 73 from both sides: 9x = -99", "Divide both sides by 9: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 73 = -8(x + 3) - 2", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": -8, \"c\": 3, \"e\": -2, \"x\": -11}", "seed": "12572369208732665926", "semantic_fingerprint": "sha256:7369bf5ba65d8e50fd1d17c3d0393ef04668054e16cf54aedfb885427c8bb525", "generator_version": "3.0"}
{"id": "v3_test_id_00004097", "prompt": "Find x: -5x - 236 = -8(x - 50) - 594", "solution_steps": ["Expand: -5x - 236 = -8x + 400 - 594", "Combine constants: -5x - 236 = -8x - 194", "Add 8x to both sides: 3x - 236 = -194", "Add 236 to both sides: 3x = 42", "Divide both sides by 3: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x - 236 = -8(x - 50) - 594", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 236, \"c\": -8, \"d\": 50, \"f\": -594, \"x\": 14}", "seed": "2262669110443866356", "semantic_fingerprint": "sha256:8b5585672af8049faf13295fee9fc35529b9fa242380393e06474e9502b006c5", "generator_version": "3.0"}
{"id": "v3_test_id_00004098", "prompt": "Solve the equation 8x + 443 = x + 75 for x.", "solution_steps": ["Subtract x from both sides: 7x + 443 = 75", "Subtract 443 from both sides: 7x = -368", "Divide both sides by 7: x = -368/7"], "final_answer": "-368/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x + 443 = x + 75", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 443, \"c\": 75}", "seed": "10079209805291889673", "semantic_fingerprint": "sha256:01b6dd9b49c6cc1e49bd1015b48a2a208aca097ee9d71350aad577fe5277a5bf", "generator_version": "3.0"}
{"id": "v3_test_id_00004099", "prompt": "Evaluate: (-8 + (-76)) / (-36) - 716", "solution_steps": ["Add: -8 + (-76) = -84", "Divide: -84 / (-36) = 7/3", "Subtract: 7/3 - 716 = -2141/3"], "final_answer": "-2141/3", "answer_type": "rational", "kind": "expression", "math_text": "(-8 + (-76)) / (-36) - 716", "variable": null, "family": "expression_3op", "shape": "(- (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -76, \"c\": -36, \"d\": 716}", "seed": "14287326382037409557", "semantic_fingerprint": "sha256:8502cc983fbc6d1675c9db3c1f84c0c6a3fa3c357e4974720602ba2ef6a36c3b", "generator_version": "3.0"}
{"id": "v3_test_id_00004100", "prompt": "Find x: -4x - 77 = -6(x - 76) + 478", "solution_steps": ["Expand: -4x - 77 = -6x + 456 + 478", "Combine constants: -4x - 77 = -6x + 934", "Add 6x to both sides: 2x - 77 = 934", "Add 77 to both sides: 2x = 1011", "Divide both sides by 2: x = 1011/2"], "final_answer": "1011/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4x - 77 = -6(x - 76) + 478", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 77, \"c\": -6, \"d\": 76, \"e\": 478}", "seed": "6286563990353856002", "semantic_fingerprint": "sha256:2376b0acfa13b6cafc1fdf5ed73ec3baf49ee8ae5fc7894647431f45615601a8", "generator_version": "3.0"}
{"id": "v3_test_id_00004101", "prompt": "Solve for x: 3(x + 358) - 1 = 2(x + 742) + 6", "solution_steps": ["Expand: 3x + 1074 - 1 = 2(x + 742) + 6", "Expand: 3x + 1074 - 1 = 2x + 1484 + 6", "Combine constants: 3x + 1073 = 2x + 1484 + 6", "Combine constants: 3x + 1073 = 2x + 1490", "Subtract 2x from both sides: x + 1073 = 1490", "Subtract 1073 from both sides: x = 417"], "final_answer": "417", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 358) - 1 = 2(x + 742) + 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 358, \"c\": 1, \"d\": 2, \"e\": 742, \"f\": 6}", "seed": "2715556119204277689", "semantic_fingerprint": "sha256:f84de60e9662395bcaa5c081bd5911f8d62480474daeb644b026a817475ca12f", "generator_version": "3.0"}
{"id": "v3_test_id_00004102", "prompt": "Evaluate: 5 / (-18) / (-111) + (-7)", "solution_steps": ["Divide: 5 / (-18) = -5/18", "Divide: (-5/18) / (-111) = 5/1998", "Add: 5/1998 + (-7) = -13981/1998"], "final_answer": "-13981/1998", "answer_type": "rational", "kind": "expression", "math_text": "5 / (-18) / (-111) + (-7)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -18, \"c\": -111, \"d\": -7}", "seed": "11009029835834949297", "semantic_fingerprint": "sha256:254559f8024de5c90e26e7bcce9c5ba6808fa864cb208e7b031367932db44de1", "generator_version": "3.0"}
{"id": "v3_test_id_00004103", "prompt": "Solve the equation 8x + 39 = x - 17 for x.", "solution_steps": ["Subtract x from both sides: 7x + 39 = -17", "Subtract 39 from both sides: 7x = -56", "Divide both sides by 7: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x + 39 = x - 17", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 39, \"d\": -17, \"x\": -8}", "seed": "9079436853018626360", "semantic_fingerprint": "sha256:c416b10ff866ca0fd997afc5e658432eac1ced3676d23305cd0d0068ad0d7a89", "generator_version": "3.0"}
{"id": "v3_test_id_00004104", "prompt": "Calculate: (33 - 912) / (7 - 590 + 68)", "solution_steps": ["Subtract: 33 - 912 = -879", "Subtract: 7 - 590 = -583", "Add: -583 + 68 = -515", "Divide: -879 / (-515) = 879/515"], "final_answer": "879/515", "answer_type": "rational", "kind": "expression", "math_text": "(33 - 912) / (7 - 590 + 68)", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": 912, \"c\": 7, \"d\": 590, \"e\": 68}", "seed": "195293791469940497", "semantic_fingerprint": "sha256:5ca7318bbe7d6e6486d7fdf78d8fbe1bec76c3db4922e66dafbc8a2bca2bbcd7", "generator_version": "3.0"}
{"id": "v3_test_id_00004105", "prompt": "What value of x satisfies x = 12(x - 501) + 8?", "solution_steps": ["Expand: x = 12x - 6012 + 8", "Combine constants: x = 12x - 6004", "Subtract 12x from both sides: -11x = -6004", "Divide both sides by -11: x = 6004/11"], "final_answer": "6004/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 12(x - 501) + 8", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 501, \"c\": 8}", "seed": "10111583675234219507", "semantic_fingerprint": "sha256:fdb7d624ba21361073f6424fbc3064b713c986ce88d293ee82d345bb8bc1ed73", "generator_version": "3.0"}
{"id": "v3_test_id_00004106", "prompt": "Compute: -932 / (5 / (-7))", "solution_steps": ["Divide: 5 / (-7) = -5/7", "Divide: -932 / (-5/7) = 6524/5"], "final_answer": "6524/5", "answer_type": "rational", "kind": "expression", "math_text": "-932 / (5 / (-7))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -932, \"b\": 5, \"c\": -7}", "seed": "11345983654553508012", "semantic_fingerprint": "sha256:c42ec571612c7562a24a93c30613ab760830c68b781d3a1ee12a575698490d12", "generator_version": "3.0"}
{"id": "v3_test_id_00004107", "prompt": "Solve the equation 6x - 6 = x - 3 for x.", "solution_steps": ["Subtract x from both sides: 5x - 6 = -3", "Add 6 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": "6x - 6 = x - 3", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"c\": 3}", "seed": "13604412894438169578", "semantic_fingerprint": "sha256:5adb09f68bbc8bfd3cf80352f3992d853d59ccc2242122cd1d9ee73262c5c748", "generator_version": "3.0"}
{"id": "v3_test_id_00004108", "prompt": "Compute: -608 * 68 - (-29 + (-355))", "solution_steps": ["Multiply: -608 * 68 = -41344", "Add: -29 + (-355) = -384", "Subtract: -41344 - (-384) = -40960"], "final_answer": "-40960", "answer_type": "integer", "kind": "expression", "math_text": "-608 * 68 - (-29 + (-355))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -608, \"b\": 68, \"c\": -29, \"d\": -355}", "seed": "324442483805682157", "semantic_fingerprint": "sha256:dfdaa364b65428ef1157c9872add72976b69c74375ad9c2063b5da6806a67c98", "generator_version": "3.0"}
{"id": "v3_test_id_00004109", "prompt": "Compute: 35 * 570 / (8 - (-40) - 20) + 6", "solution_steps": ["Multiply: 35 * 570 = 19950", "Subtract: 8 - (-40) = 48", "Subtract: 48 - 20 = 28", "Divide: 19950 / 28 = 1425/2", "Add: 1425/2 + 6 = 1437/2"], "final_answer": "1437/2", "answer_type": "rational", "kind": "expression", "math_text": "35 * 570 / (8 - (-40) - 20) + 6", "variable": null, "family": "expression_5op", "shape": "(+ (/ (* n n) (- (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": 570, \"c\": 8, \"d\": -40, \"e\": 20, \"f\": 6}", "seed": "14228314802361777349", "semantic_fingerprint": "sha256:ccb995fd9291a8999e7667f47bc4df822424eb087734a202368e9b2003bfcc54", "generator_version": "3.0"}
{"id": "v3_test_id_00004110", "prompt": "What is -5 / (-684) * (-70)?", "solution_steps": ["Divide: -5 / (-684) = 5/684", "Multiply: (5/684) * (-70) = -175/342"], "final_answer": "-175/342", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-684) * (-70)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -684, \"c\": -70}", "seed": "12700000840914278688", "semantic_fingerprint": "sha256:1315b6d4a67b99169e6d1161fb46581adf683927e1bd0a90a3ae3c4b5106c8ad", "generator_version": "3.0"}
{"id": "v3_test_id_00004111", "prompt": "What value of x satisfies 3x + 57 = x + 85?", "solution_steps": ["Subtract x from both sides: 2x + 57 = 85", "Subtract 57 from both sides: 2x = 28", "Divide both sides by 2: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x + 57 = x + 85", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 57, \"d\": 85, \"x\": 14}", "seed": "4617940968107837853", "semantic_fingerprint": "sha256:f3147e8584580ee1a037272a23532dca22caaab577b9b9bc1253e485d6b4baea", "generator_version": "3.0"}
{"id": "v3_test_id_00004112", "prompt": "Calculate: (-362 * (-82 - 8) + 7) / (-7 - (-76))", "solution_steps": ["Subtract: -82 - 8 = -90", "Multiply: -362 * (-90) = 32580", "Add: 32580 + 7 = 32587", "Subtract: -7 - (-76) = 69", "Divide: 32587 / 69 = 32587/69"], "final_answer": "32587/69", "answer_type": "rational", "kind": "expression", "math_text": "(-362 * (-82 - 8) + 7) / (-7 - (-76))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (* n (- n n)) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -362, \"b\": -82, \"c\": 8, \"d\": 7, \"e\": -7, \"f\": -76}", "seed": "16387552031268659578", "semantic_fingerprint": "sha256:8cea0f19febdb999d21090064e06975353871ca5370b6f84b6cbf69882199bf8", "generator_version": "3.0"}
{"id": "v3_test_id_00004113", "prompt": "Solve the equation -4x + 94 = x + 84 for x.", "solution_steps": ["Subtract x from both sides: -5x + 94 = 84", "Subtract 94 from both sides: -5x = -10", "Divide both sides by -5: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x + 94 = x + 84", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 94, \"d\": 84, \"x\": 2}", "seed": "8086283699000672531", "semantic_fingerprint": "sha256:a34837411f16cd93633a27967d0d33940acd67d04e253c61176499968b3b663f", "generator_version": "3.0"}
{"id": "v3_test_id_00004114", "prompt": "What is (-95 + (973 + 89 + (-46))) / 47?", "solution_steps": ["Add: 973 + 89 = 1062", "Add: 1062 + (-46) = 1016", "Add: -95 + 1016 = 921", "Divide: 921 / 47 = 921/47"], "final_answer": "921/47", "answer_type": "rational", "kind": "expression", "math_text": "(-95 + (973 + 89 + (-46))) / 47", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (+ (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": 973, \"c\": 89, \"d\": -46, \"e\": 47}", "seed": "18190674738557065307", "semantic_fingerprint": "sha256:a9d9535859b4d228fddb71504a8fd5cb3c727fcfadacbe2abffb47f427aa93e8", "generator_version": "3.0"}
{"id": "v3_test_id_00004115", "prompt": "Calculate: (-6 + (-76)) * 55", "solution_steps": ["Add: -6 + (-76) = -82", "Multiply: -82 * 55 = -4510"], "final_answer": "-4510", "answer_type": "integer", "kind": "expression", "math_text": "(-6 + (-76)) * 55", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -76, \"c\": 55}", "seed": "2612637687341402142", "semantic_fingerprint": "sha256:912d27e80e2edaccbf65fdb7f1b5eca3551b056bbd0f7630d840ca84ea3f8302", "generator_version": "3.0"}
{"id": "v3_test_id_00004116", "prompt": "Solve for x: x + 8 = 3x - 9", "solution_steps": ["Subtract 3x from both sides: -2x + 8 = -9", "Subtract 8 from both sides: -2x = -17", "Divide both sides by -2: x = 17/2"], "final_answer": "17/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 8 = 3x - 9", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": 9}", "seed": "2983852866144734016", "semantic_fingerprint": "sha256:b1dc1f65e74fbd7df150cfdaf12dd81a8f50e674de96e9f9fed453ecaf1e3096", "generator_version": "3.0"}
{"id": "v3_test_id_00004117", "prompt": "Solve for x: -6x - 48 = -2x", "solution_steps": ["Add 2x to both sides: -4x - 48 = 0", "Add 48 to both sides: -4x = 48", "Divide both sides by -4: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x - 48 = -2x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -2, \"d\": -48, \"x\": -12}", "seed": "5301926201526080427", "semantic_fingerprint": "sha256:7e143c697dd812edd6c2430d304c1c0e782bf9c2f63c2b08eb666c85121d59f2", "generator_version": "3.0"}
{"id": "v3_test_id_00004118", "prompt": "What value of x satisfies 9(x - 20) = -23?", "solution_steps": ["Expand: 9x - 180 = -23", "Add 180 to both sides: 9x = 157", "Divide both sides by 9: x = 157/9"], "final_answer": "157/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 20) = -23", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 20, \"c\": -23}", "seed": "8153255952124221342", "semantic_fingerprint": "sha256:7bb563f83785cc155eb691f5fd541d34b0444ee4bcc148a8501d2da0e3589894", "generator_version": "3.0"}
{"id": "v3_test_id_00004119", "prompt": "Solve the equation x - 5 = -8(x + 1) + 30 for x.", "solution_steps": ["Expand: x - 5 = -8x - 8 + 30", "Combine constants: x - 5 = -8x + 22", "Add 8x to both sides: 9x - 5 = 22", "Add 5 to both sides: 9x = 27", "Divide both sides by 9: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5 = -8(x + 1) + 30", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -8, \"c\": 1, \"e\": 30, \"x\": 3}", "seed": "2629003723136674768", "semantic_fingerprint": "sha256:bdb262c893658ea367ccfc2c353426e5932781dfe689f90e8648fd64535e1907", "generator_version": "3.0"}
{"id": "v3_test_id_00004120", "prompt": "What is (64 - (-64)) / 26?", "solution_steps": ["Subtract: 64 - (-64) = 128", "Divide: 128 / 26 = 64/13"], "final_answer": "64/13", "answer_type": "rational", "kind": "expression", "math_text": "(64 - (-64)) / 26", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": -64, \"c\": 26}", "seed": "11115593481442460221", "semantic_fingerprint": "sha256:342eaa7e79c1e8fba6129967c35e661b69dca584dee599bd1bf4a49bdf9f0d8d", "generator_version": "3.0"}
{"id": "v3_test_id_00004121", "prompt": "Calculate: 509 + (-38) - (-64 + (17 - 6))", "solution_steps": ["Add: 509 + (-38) = 471", "Subtract: 17 - 6 = 11", "Add: -64 + 11 = -53", "Subtract: 471 - (-53) = 524"], "final_answer": "524", "answer_type": "integer", "kind": "expression", "math_text": "509 + (-38) - (-64 + (17 - 6))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 509, \"b\": -38, \"c\": -64, \"d\": 17, \"e\": 6}", "seed": "1224129398471284769", "semantic_fingerprint": "sha256:955ce1c6ec81af946aac96ad960a6cd14addf9ed6289939d9f9d4c1ddfaa2bc2", "generator_version": "3.0"}
{"id": "v3_test_id_00004122", "prompt": "Compute: -52 / (-381)", "solution_steps": ["Divide: -52 / (-381) = 52/381"], "final_answer": "52/381", "answer_type": "rational", "kind": "expression", "math_text": "-52 / (-381)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": -381}", "seed": "4637843364420412973", "semantic_fingerprint": "sha256:299dca850288edd17927eca2ff497c971e913b3236755b3d0dafe160df9569fb", "generator_version": "3.0"}
{"id": "v3_test_id_00004123", "prompt": "Find x: 11x + 80 = -96", "solution_steps": ["Subtract 80 from both sides: 11x = -176", "Divide both sides by 11: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 80 = -96", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 80, \"d\": -96, \"x\": -16}", "seed": "3723727453617753272", "semantic_fingerprint": "sha256:19464318a6829141e988ea8b3e641ab5ea27053301bec5cdbe40e6ed017dfaa8", "generator_version": "3.0"}
{"id": "v3_test_id_00004124", "prompt": "Evaluate: -302 - (-25)", "solution_steps": ["Subtract: -302 - (-25) = -277"], "final_answer": "-277", "answer_type": "integer", "kind": "expression", "math_text": "-302 - (-25)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -302, \"b\": -25}", "seed": "14101136269438393099", "semantic_fingerprint": "sha256:635653f227452e5ba20ef5d2a45b9114c5915922cd102c1539d9b93570a0ba0b", "generator_version": "3.0"}
{"id": "v3_test_id_00004125", "prompt": "Evaluate: 3 * (-43 - (-97) / (-438) * 76)", "solution_steps": ["Divide: -97 / (-438) = 97/438", "Multiply: (97/438) * 76 = 3686/219", "Subtract: -43 - 3686/219 = -13103/219", "Multiply: 3 * (-13103/219) = -13103/73"], "final_answer": "-13103/73", "answer_type": "rational", "kind": "expression", "math_text": "3 * (-43 - (-97) / (-438) * 76)", "variable": null, "family": "expression_4op", "shape": "(* n (- n (* (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -43, \"c\": -97, \"d\": -438, \"e\": 76}", "seed": "14284021058001865423", "semantic_fingerprint": "sha256:563be69837e85cd959f7217780fb8420951986e53f38ec0272dbcde9c9a5d38d", "generator_version": "3.0"}
{"id": "v3_test_id_00004126", "prompt": "Find x: x + 82 = 12(x - 25) + 536", "solution_steps": ["Expand: x + 82 = 12x - 300 + 536", "Combine constants: x + 82 = 12x + 236", "Subtract 12x from both sides: -11x + 82 = 236", "Subtract 82 from both sides: -11x = 154", "Divide both sides by -11: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 82 = 12(x - 25) + 536", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": 12, \"c\": 25, \"e\": 536, \"x\": -14}", "seed": "12640618687850444731", "semantic_fingerprint": "sha256:717b89ef4983b8c9c70fda089892158286746c9ca12fc801d7599585e493192b", "generator_version": "3.0"}
{"id": "v3_test_id_00004127", "prompt": "Evaluate: -69 * (51 - 3) + (-6 - (-7) + 2)", "solution_steps": ["Subtract: 51 - 3 = 48", "Multiply: -69 * 48 = -3312", "Subtract: -6 - (-7) = 1", "Add: 1 + 2 = 3", "Add: -3312 + 3 = -3309"], "final_answer": "-3309", "answer_type": "integer", "kind": "expression", "math_text": "-69 * (51 - 3) + (-6 - (-7) + 2)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (- n n)) (+ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": 51, \"c\": 3, \"d\": -6, \"e\": -7, \"f\": 2}", "seed": "2700013245299014388", "semantic_fingerprint": "sha256:47fb1363c74b630f6c5513435283dc8042a070ca11fed3bff59d742be8ed0572", "generator_version": "3.0"}
{"id": "v3_test_id_00004128", "prompt": "Compute: -3 * (-12) / (-3)", "solution_steps": ["Multiply: -3 * (-12) = 36", "Divide: 36 / (-3) = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "expression", "math_text": "-3 * (-12) / (-3)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -12, \"c\": -3}", "seed": "2145540684452239420", "semantic_fingerprint": "sha256:efa7245f3fed911fcc50ab4bf9723ce9145de4a32ce1d2ec0af602dce3fea755", "generator_version": "3.0"}
{"id": "v3_test_id_00004129", "prompt": "What is -6 * (-685) * (-81)?", "solution_steps": ["Multiply: -6 * (-685) = 4110", "Multiply: 4110 * (-81) = -332910"], "final_answer": "-332910", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-685) * (-81)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -685, \"c\": -81}", "seed": "14438986560592108635", "semantic_fingerprint": "sha256:431b6f89ac2705b0604c5d9161036857acf40b9380c37969e3ff95dee7c0cc88", "generator_version": "3.0"}
{"id": "v3_test_id_00004130", "prompt": "Solve for x: 7x + 8 = -7(x + 92) + 834", "solution_steps": ["Expand: 7x + 8 = -7x - 644 + 834", "Combine constants: 7x + 8 = -7x + 190", "Add 7x to both sides: 14x + 8 = 190", "Subtract 8 from both sides: 14x = 182", "Divide both sides by 14: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 8 = -7(x + 92) + 834", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": -7, \"d\": 92, \"f\": 834, \"x\": 13}", "seed": "14888735154718700400", "semantic_fingerprint": "sha256:dc9882945e73145d20fd8c0d973dcb8150ed6c6ba30a3def46e02a2a3f96e7f9", "generator_version": "3.0"}
{"id": "v3_test_id_00004131", "prompt": "Calculate: -800 / 68", "solution_steps": ["Divide: -800 / 68 = -200/17"], "final_answer": "-200/17", "answer_type": "rational", "kind": "expression", "math_text": "-800 / 68", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -800, \"b\": 68}", "seed": "4886610971216039221", "semantic_fingerprint": "sha256:1e3bb7d5ba4111da0caaa61f7d4c0d60f72500b845a78bf28c9f31669bc5c4c3", "generator_version": "3.0"}
{"id": "v3_test_id_00004132", "prompt": "Find x: -10x + 255 = 5x", "solution_steps": ["Subtract 5x from both sides: -15x + 255 = 0", "Subtract 255 from both sides: -15x = -255", "Divide both sides by -15: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x + 255 = 5x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 5, \"d\": 255, \"x\": 17}", "seed": "7750041307353389831", "semantic_fingerprint": "sha256:580da505a9044c0ae9216e6ebcb2a7ae8001edacf1c6457f278a9e7793461929", "generator_version": "3.0"}
{"id": "v3_test_id_00004133", "prompt": "Compute: 63 / (-791 * 69) / (-6)", "solution_steps": ["Multiply: -791 * 69 = -54579", "Divide: 63 / (-54579) = -3/2599", "Divide: (-3/2599) / (-6) = 1/5198"], "final_answer": "1/5198", "answer_type": "rational", "kind": "expression", "math_text": "63 / (-791 * 69) / (-6)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": -791, \"c\": 69, \"d\": -6}", "seed": "426193722451595357", "semantic_fingerprint": "sha256:5643ce0375461986fae066a90fabcc587447f557244d247b1a638d8b3ca8f81f", "generator_version": "3.0"}
{"id": "v3_test_id_00004134", "prompt": "What value of x satisfies 7x = 4(x - 95) + 347?", "solution_steps": ["Expand: 7x = 4x - 380 + 347", "Combine constants: 7x = 4x - 33", "Subtract 4x from both sides: 3x = -33", "Divide both sides by 3: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 4(x - 95) + 347", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 95, \"e\": 347, \"x\": -11}", "seed": "2390114840417282481", "semantic_fingerprint": "sha256:bb57ac4d6a5fd6aa54b69fcb8736e07592ce78009101e194daa02c4d2cd414e6", "generator_version": "3.0"}
{"id": "v3_test_id_00004135", "prompt": "Compute: 71 + (8 - (-92) - (50 + (-7)))", "solution_steps": ["Subtract: 8 - (-92) = 100", "Add: 50 + (-7) = 43", "Subtract: 100 - 43 = 57", "Add: 71 + 57 = 128"], "final_answer": "128", "answer_type": "integer", "kind": "expression", "math_text": "71 + (8 - (-92) - (50 + (-7)))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (- n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": 8, \"c\": -92, \"d\": 50, \"e\": -7}", "seed": "8169585700726151544", "semantic_fingerprint": "sha256:d3316bc848c69229e77bc64733a9e79f8ab68b06f2e8c74152c0de7c1c9eaae5", "generator_version": "3.0"}
{"id": "v3_test_id_00004136", "prompt": "Solve the equation 4(x - 76) - 6 = 8(x + 7) - 306 for x.", "solution_steps": ["Expand: 4x - 304 - 6 = 8(x + 7) - 306", "Expand: 4x - 304 - 6 = 8x + 56 - 306", "Combine constants: 4x - 310 = 8x + 56 - 306", "Combine constants: 4x - 310 = 8x - 250", "Subtract 8x from both sides: -4x - 310 = -250", "Add 310 to both sides: -4x = 60", "Divide both sides by -4: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 76) - 6 = 8(x + 7) - 306", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 76, \"c\": 6, \"d\": 8, \"e\": 7, \"g\": -306, \"x\": -15}", "seed": "15469901651810187143", "semantic_fingerprint": "sha256:51a4fd2a41e10d3ee346e2b3680134d69e582bdb86406f25182decce4300a160", "generator_version": "3.0"}
{"id": "v3_test_id_00004137", "prompt": "Solve the equation 5(x + 7) = 3(x + 2) + 1 for x.", "solution_steps": ["Expand: 5x + 35 = 3(x + 2) + 1", "Expand: 5x + 35 = 3x + 6 + 1", "Combine constants: 5x + 35 = 3x + 7", "Subtract 3x from both sides: 2x + 35 = 7", "Subtract 35 from both sides: 2x = -28", "Divide both sides by 2: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 7) = 3(x + 2) + 1", "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\": 3, \"d\": 2, \"f\": 1, \"x\": -14}", "seed": "7011268970920274155", "semantic_fingerprint": "sha256:5543854b75e73bb2c9d124742229592764dd7a19d09b5844f177d083316b0566", "generator_version": "3.0"}
{"id": "v3_test_id_00004138", "prompt": "Find x: x + 56 = 11(x - 48) + 674", "solution_steps": ["Expand: x + 56 = 11x - 528 + 674", "Combine constants: x + 56 = 11x + 146", "Subtract 11x from both sides: -10x + 56 = 146", "Subtract 56 from both sides: -10x = 90", "Divide both sides by -10: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 56 = 11(x - 48) + 674", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 11, \"c\": 48, \"e\": 674, \"x\": -9}", "seed": "387588385039043233", "semantic_fingerprint": "sha256:35a906949f2689d2505ed09f4490bece478c661ec233ae6a264d02f2c41cd70b", "generator_version": "3.0"}
{"id": "v3_test_id_00004139", "prompt": "Calculate: 563 * (-598) + (-507)", "solution_steps": ["Multiply: 563 * (-598) = -336674", "Add: -336674 + (-507) = -337181"], "final_answer": "-337181", "answer_type": "integer", "kind": "expression", "math_text": "563 * (-598) + (-507)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 563, \"b\": -598, \"c\": -507}", "seed": "3234336240114926735", "semantic_fingerprint": "sha256:c771041295d25723f945a9e18e9948f22e8ea58a968a367433ebb5ffb429b7bb", "generator_version": "3.0"}
{"id": "v3_test_id_00004140", "prompt": "Solve for x: 11(x + 11) + 73 = x", "solution_steps": ["Expand: 11x + 121 + 73 = x", "Combine constants: 11x + 194 = x", "Subtract x from both sides: 10x + 194 = 0", "Subtract 194 from both sides: 10x = -194", "Divide both sides by 10: x = -97/5"], "final_answer": "-97/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 11) + 73 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 11, \"c\": 73}", "seed": "2665794875668920644", "semantic_fingerprint": "sha256:60f4f452c690520f4d7ed8760e3d80c9e0ed10339acbc9b5f7a2bfa02800708b", "generator_version": "3.0"}
{"id": "v3_test_id_00004141", "prompt": "Calculate: (-55 + 2) / (33 + 263) * (65 * (-1))", "solution_steps": ["Add: -55 + 2 = -53", "Add: 33 + 263 = 296", "Divide: -53 / 296 = -53/296", "Multiply: 65 * (-1) = -65", "Multiply: (-53/296) * (-65) = 3445/296"], "final_answer": "3445/296", "answer_type": "rational", "kind": "expression", "math_text": "(-55 + 2) / (33 + 263) * (65 * (-1))", "variable": null, "family": "expression_5op", "shape": "(* (/ (+ n n) (+ n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": 2, \"c\": 33, \"d\": 263, \"e\": 65, \"f\": -1}", "seed": "12063111940359906632", "semantic_fingerprint": "sha256:7007ca3d3fee5110494d12896270d449094db9a0602292827128045d2e4b3a7b", "generator_version": "3.0"}
{"id": "v3_test_id_00004142", "prompt": "Solve the equation 9x - 41 = -722 for x.", "solution_steps": ["Add 41 to both sides: 9x = -681", "Divide both sides by 9: x = -227/3"], "final_answer": "-227/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x - 41 = -722", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 41, \"c\": -722}", "seed": "10057750999211770068", "semantic_fingerprint": "sha256:d4cb44400354839fa1b24c35762dcc774296afc50922e09935d510023cfdcdd3", "generator_version": "3.0"}
{"id": "v3_test_id_00004143", "prompt": "What is 3 + (-2) * 161 + (-709)?", "solution_steps": ["Multiply: -2 * 161 = -322", "Add: 3 + (-322) = -319", "Add: -319 + (-709) = -1028"], "final_answer": "-1028", "answer_type": "integer", "kind": "expression", "math_text": "3 + (-2) * 161 + (-709)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -2, \"c\": 161, \"d\": -709}", "seed": "11669043996035191101", "semantic_fingerprint": "sha256:7486f2908a2f1c02913d50ffbb7bfe94a8921b97eae6aabe216a9fa66f27d5db", "generator_version": "3.0"}
{"id": "v3_test_id_00004144", "prompt": "Find x: x + 2 = 3x - 36", "solution_steps": ["Subtract 3x from both sides: -2x + 2 = -36", "Subtract 2 from both sides: -2x = -38", "Divide both sides by -2: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 2 = 3x - 36", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"d\": -36, \"x\": 19}", "seed": "6297915550131030337", "semantic_fingerprint": "sha256:8e16e83eca682be18b4ce7b582a4941202d3b0939d0676e09fe07b3119142c82", "generator_version": "3.0"}
{"id": "v3_test_id_00004145", "prompt": "Solve the equation 2(x + 362) - 75 = 9(x - 7) for x.", "solution_steps": ["Expand: 2x + 724 - 75 = 9(x - 7)", "Expand: 2x + 724 - 75 = 9x - 63", "Combine constants: 2x + 649 = 9x - 63", "Subtract 9x from both sides: -7x + 649 = -63", "Subtract 649 from both sides: -7x = -712", "Divide both sides by -7: x = 712/7"], "final_answer": "712/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 362) - 75 = 9(x - 7)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 362, \"c\": 75, \"d\": 9, \"e\": 7}", "seed": "8125769355289435197", "semantic_fingerprint": "sha256:0a638cb98e4671afaac28266f49ec8db84659d616d31c9a22dc4f3c6bc104f56", "generator_version": "3.0"}
{"id": "v3_test_id_00004146", "prompt": "Solve the equation x - 2 = 6(x + 4) for x.", "solution_steps": ["Expand: x - 2 = 6x + 24", "Subtract 6x from both sides: -5x - 2 = 24", "Add 2 to both sides: -5x = 26", "Divide both sides by -5: x = -26/5"], "final_answer": "-26/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 2 = 6(x + 4)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"c\": 4}", "seed": "5606640596375793578", "semantic_fingerprint": "sha256:b24b710f92ea9166c527972aabab3f51446d2be8e8eca085c5a871161da60338", "generator_version": "3.0"}
{"id": "v3_test_id_00004147", "prompt": "Solve for x: 4x - 85 = x", "solution_steps": ["Subtract x from both sides: 3x - 85 = 0", "Add 85 to both sides: 3x = 85", "Divide both sides by 3: x = 85/3"], "final_answer": "85/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x - 85 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 85}", "seed": "9009283893096174888", "semantic_fingerprint": "sha256:f81cdf29d40c4b6ce6c72f9f7a8fd1ad912a6f4de328be530ed3593814a9f79c", "generator_version": "3.0"}
{"id": "v3_test_id_00004148", "prompt": "What value of x satisfies 5(x + 21) + 4 = 4x?", "solution_steps": ["Expand: 5x + 105 + 4 = 4x", "Combine constants: 5x + 109 = 4x", "Subtract 4x from both sides: x + 109 = 0", "Subtract 109 from both sides: x = -109"], "final_answer": "-109", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 21) + 4 = 4x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 21, \"c\": 4, \"d\": 4}", "seed": "11540695842197903309", "semantic_fingerprint": "sha256:f54cbf7b5bf67a6e94870e45bdc08fa719d217e8e150b21a83a3ebf8c4df70c5", "generator_version": "3.0"}
{"id": "v3_test_id_00004149", "prompt": "What is 281 + (78 - (-9) + 62)?", "solution_steps": ["Subtract: 78 - (-9) = 87", "Add: 87 + 62 = 149", "Add: 281 + 149 = 430"], "final_answer": "430", "answer_type": "integer", "kind": "expression", "math_text": "281 + (78 - (-9) + 62)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 281, \"b\": 78, \"c\": -9, \"d\": 62}", "seed": "540515328941747751", "semantic_fingerprint": "sha256:295823c2d13fa284d33f7d0a95160acddb02745921b0b1ef9c2f42abc781acd5", "generator_version": "3.0"}
{"id": "v3_test_id_00004150", "prompt": "What is -7 + (-14) - (-81 / 8 - 0)?", "solution_steps": ["Add: -7 + (-14) = -21", "Divide: -81 / 8 = -81/8", "Subtract: -81/8 - 0 = -81/8", "Subtract: -21 - (-81/8) = -87/8"], "final_answer": "-87/8", "answer_type": "rational", "kind": "expression", "math_text": "-7 + (-14) - (-81 / 8 - 0)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -14, \"c\": -81, \"d\": 8, \"e\": 0}", "seed": "10951014053952536125", "semantic_fingerprint": "sha256:88f3fa2266f8cfe293178901e915dd27c5b3181553cde460a750dc4800fbfbf4", "generator_version": "3.0"}
{"id": "v3_test_id_00004151", "prompt": "Compute: 622 - 40 - (-1)", "solution_steps": ["Subtract: 622 - 40 = 582", "Subtract: 582 - (-1) = 583"], "final_answer": "583", "answer_type": "integer", "kind": "expression", "math_text": "622 - 40 - (-1)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 622, \"b\": 40, \"c\": -1}", "seed": "14773585960693591974", "semantic_fingerprint": "sha256:f091883ab619d1128d5369efe2889d6c2e765b5d991c1fd0c3d87dac93c8dac6", "generator_version": "3.0"}
{"id": "v3_test_id_00004152", "prompt": "Calculate: 4 + 2 - 81 * 6", "solution_steps": ["Add: 4 + 2 = 6", "Multiply: 81 * 6 = 486", "Subtract: 6 - 486 = -480"], "final_answer": "-480", "answer_type": "integer", "kind": "expression", "math_text": "4 + 2 - 81 * 6", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 2, \"c\": 81, \"d\": 6}", "seed": "8516106037511439644", "semantic_fingerprint": "sha256:e3d2e474c0a3878d52a32009ce4a3a37cc3e09df27c026a8645fdd20ffd36fd4", "generator_version": "3.0"}
{"id": "v3_test_id_00004153", "prompt": "Solve for x: 3(x + 89) + 145 = 11(x + 28)", "solution_steps": ["Expand: 3x + 267 + 145 = 11(x + 28)", "Expand: 3x + 267 + 145 = 11x + 308", "Combine constants: 3x + 412 = 11x + 308", "Subtract 11x from both sides: -8x + 412 = 308", "Subtract 412 from both sides: -8x = -104", "Divide both sides by -8: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 89) + 145 = 11(x + 28)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 89, \"c\": 11, \"d\": 28, \"f\": 145, \"x\": 13}", "seed": "14363591865650556126", "semantic_fingerprint": "sha256:7ba416f82ddd18599d4f919d5306e82b19e44132945ec11b335bc86b40aba8a9", "generator_version": "3.0"}
{"id": "v3_test_id_00004154", "prompt": "What is 5 * (972 + 75 + (-79 + 43))?", "solution_steps": ["Add: 972 + 75 = 1047", "Add: -79 + 43 = -36", "Add: 1047 + (-36) = 1011", "Multiply: 5 * 1011 = 5055"], "final_answer": "5055", "answer_type": "integer", "kind": "expression", "math_text": "5 * (972 + 75 + (-79 + 43))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 972, \"c\": 75, \"d\": -79, \"e\": 43}", "seed": "5214854381718154583", "semantic_fingerprint": "sha256:30474610751aef2fe82d1d34e5e3f19cb945f79b637559ea64b96306480c1735", "generator_version": "3.0"}
{"id": "v3_test_id_00004155", "prompt": "Solve for x: 12x + 110 = x", "solution_steps": ["Subtract x from both sides: 11x + 110 = 0", "Subtract 110 from both sides: 11x = -110", "Divide both sides by 11: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 110 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"c\": 110, \"x\": -10}", "seed": "5380875146694383982", "semantic_fingerprint": "sha256:d1ea142916bae14a1574c224aefeb989c2e2d1dfe87970104daab212b3523162", "generator_version": "3.0"}
{"id": "v3_test_id_00004156", "prompt": "What value of x satisfies -8x + 6 = -7(x + 83) + 2?", "solution_steps": ["Expand: -8x + 6 = -7x - 581 + 2", "Combine constants: -8x + 6 = -7x - 579", "Add 7x to both sides: -x + 6 = -579", "Subtract 6 from both sides: -x = -585", "Divide both sides by -1: x = 585"], "final_answer": "585", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x + 6 = -7(x + 83) + 2", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 6, \"c\": -7, \"d\": 83, \"e\": 2}", "seed": "9880967554965335122", "semantic_fingerprint": "sha256:d78f52b2e724a342c48f5a0ae0170407728395d3e179aada6e25846817f03341", "generator_version": "3.0"}
{"id": "v3_test_id_00004157", "prompt": "Solve the equation 5x + 60 = x for x.", "solution_steps": ["Subtract x from both sides: 4x + 60 = 0", "Subtract 60 from both sides: 4x = -60", "Divide both sides by 4: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 60 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"c\": 60, \"x\": -15}", "seed": "10689839595080330810", "semantic_fingerprint": "sha256:31cd8b71b8809661c63b8f5de5d3b85870802b666bf998c3ade5fec58130ff58", "generator_version": "3.0"}
{"id": "v3_test_id_00004158", "prompt": "What is -7 * (480 + 0) * 4 + (-57) + (-9)?", "solution_steps": ["Add: 480 + 0 = 480", "Multiply: -7 * 480 = -3360", "Multiply: -3360 * 4 = -13440", "Add: -13440 + (-57) = -13497", "Add: -13497 + (-9) = -13506"], "final_answer": "-13506", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (480 + 0) * 4 + (-57) + (-9)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* (* n (+ n n)) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 480, \"c\": 0, \"d\": 4, \"e\": -57, \"f\": -9}", "seed": "16957939013449657695", "semantic_fingerprint": "sha256:796737cf60cccd5dd8434ce76511a6ad2d26c4fe29394afd4ea541a894de8d64", "generator_version": "3.0"}
{"id": "v3_test_id_00004159", "prompt": "Solve for x: 4(x + 79) - 349 = x", "solution_steps": ["Expand: 4x + 316 - 349 = x", "Combine constants: 4x - 33 = x", "Subtract x from both sides: 3x - 33 = 0", "Add 33 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 + 79) - 349 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 79, \"d\": -349, \"x\": 11}", "seed": "5598763726666752153", "semantic_fingerprint": "sha256:a524f28fed36fdd563ce22eac80c8023eaeea980ab62a2507b426f055d07b73a", "generator_version": "3.0"}
{"id": "v3_test_id_00004160", "prompt": "Calculate: 8 + (-8) - (-8)", "solution_steps": ["Add: 8 + (-8) = 0", "Subtract: 0 - (-8) = 8"], "final_answer": "8", "answer_type": "integer", "kind": "expression", "math_text": "8 + (-8) - (-8)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -8, \"c\": -8}", "seed": "1680771113151201150", "semantic_fingerprint": "sha256:ae4497e9ede75fafc75e7831bc3deae758f4f22548811dc1d1f60beee643d01b", "generator_version": "3.0"}
{"id": "v3_test_id_00004161", "prompt": "Find x: x - 152 = -142", "solution_steps": ["Add 152 to both sides: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 152 = -142", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 152, \"c\": -142, \"x\": 10}", "seed": "11343778452366679814", "semantic_fingerprint": "sha256:f4640a782a08a6b2d4dc8f3e53d2e26778d24bedd595a40166aa77076936c6b3", "generator_version": "3.0"}
{"id": "v3_test_id_00004162", "prompt": "What is -668 + 125 * (-28 + (-7))?", "solution_steps": ["Add: -28 + (-7) = -35", "Multiply: 125 * (-35) = -4375", "Add: -668 + (-4375) = -5043"], "final_answer": "-5043", "answer_type": "integer", "kind": "expression", "math_text": "-668 + 125 * (-28 + (-7))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -668, \"b\": 125, \"c\": -28, \"d\": -7}", "seed": "13705713965964946775", "semantic_fingerprint": "sha256:8a4f8282e64789bf89a4a3979d743dc63525a0f26181b3df3968b3fb066a5d8e", "generator_version": "3.0"}
{"id": "v3_test_id_00004163", "prompt": "Solve the equation -11x - 4 = x - 208 for x.", "solution_steps": ["Subtract x from both sides: -12x - 4 = -208", "Add 4 to both sides: -12x = -204", "Divide both sides by -12: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 4 = x - 208", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 4, \"d\": -208, \"x\": 17}", "seed": "7657551692469082061", "semantic_fingerprint": "sha256:7d110fbda0af5d6d494db3df5455f64a051848ed40b5aa4e1db3b007ffadd8fd", "generator_version": "3.0"}
{"id": "v3_test_id_00004164", "prompt": "What is 65 + (-68) - (-240)?", "solution_steps": ["Add: 65 + (-68) = -3", "Subtract: -3 - (-240) = 237"], "final_answer": "237", "answer_type": "integer", "kind": "expression", "math_text": "65 + (-68) - (-240)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -68, \"c\": -240}", "seed": "14467511394894669824", "semantic_fingerprint": "sha256:4739e73c487e65ad8643a150451469d2381b0e4a2d253133cb4ba397cd38ef1b", "generator_version": "3.0"}
{"id": "v3_test_id_00004165", "prompt": "Calculate: -48 - (-266) + (-3) - (320 + 70 * 57)", "solution_steps": ["Subtract: -48 - (-266) = 218", "Add: 218 + (-3) = 215", "Multiply: 70 * 57 = 3990", "Add: 320 + 3990 = 4310", "Subtract: 215 - 4310 = -4095"], "final_answer": "-4095", "answer_type": "integer", "kind": "expression", "math_text": "-48 - (-266) + (-3) - (320 + 70 * 57)", "variable": null, "family": "expression_5op", "shape": "(- (+ (- n n) n) (+ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": -266, \"c\": -3, \"d\": 320, \"e\": 70, \"f\": 57}", "seed": "16315981114319196322", "semantic_fingerprint": "sha256:a9295b23d740ce241033b62260afd668b3ca9f381aaf88814348bbce6a6bdbce", "generator_version": "3.0"}
{"id": "v3_test_id_00004166", "prompt": "Solve the equation -12x = -11x for x.", "solution_steps": ["Add 11x to both sides: -x = 0", "Divide both sides by -1: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x = -11x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": -11}", "seed": "14282109104151398877", "semantic_fingerprint": "sha256:67590a3feb25c0c7ab9e8a4673420613d30b81359ec777591c00d3def9cda414", "generator_version": "3.0"}
{"id": "v3_test_id_00004167", "prompt": "What is 0 * (-3 * (-8)) / (-6) * (81 - (-47))?", "solution_steps": ["Multiply: -3 * (-8) = 24", "Multiply: 0 * 24 = 0", "Divide: 0 / (-6) = 0", "Subtract: 81 - (-47) = 128", "Multiply: 0 * 128 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-3 * (-8)) / (-6) * (81 - (-47))", "variable": null, "family": "expression_5op", "shape": "(* (/ (* n (* n n)) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -3, \"c\": -8, \"d\": -6, \"e\": 81, \"f\": -47}", "seed": "8685599341973132469", "semantic_fingerprint": "sha256:c94b6ac6969ebbeb875bbb21c9428eae6987ee790cd03e1d3fd6e082dbda35e4", "generator_version": "3.0"}
{"id": "v3_test_id_00004168", "prompt": "What value of x satisfies -10(x + 53) = -4x - 452?", "solution_steps": ["Expand: -10x - 530 = -4x - 452", "Add 4x to both sides: -6x - 530 = -452", "Add 530 to both sides: -6x = 78", "Divide both sides by -6: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 53) = -4x - 452", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 53, \"c\": -4, \"e\": -452, \"x\": -13}", "seed": "4888312129599481464", "semantic_fingerprint": "sha256:5b9abf41b5c9d2ee98a50487dda1934c0f24feb1ab90fe36d6f49b412c862233", "generator_version": "3.0"}
{"id": "v3_test_id_00004169", "prompt": "Find x: 6x - 36 = 12(x - 25) + 210", "solution_steps": ["Expand: 6x - 36 = 12x - 300 + 210", "Combine constants: 6x - 36 = 12x - 90", "Subtract 12x from both sides: -6x - 36 = -90", "Add 36 to both sides: -6x = -54", "Divide both sides by -6: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 36 = 12(x - 25) + 210", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 36, \"c\": 12, \"d\": 25, \"f\": 210, \"x\": 9}", "seed": "6460884588589149188", "semantic_fingerprint": "sha256:daa5bf02a7984c0f74ac85075050caea8b2c866644cd9d6ba18d455f8a311319", "generator_version": "3.0"}
{"id": "v3_test_id_00004170", "prompt": "Evaluate: -29 - 798 - 64 / (-73)", "solution_steps": ["Subtract: -29 - 798 = -827", "Divide: 64 / (-73) = -64/73", "Subtract: -827 - (-64/73) = -60307/73"], "final_answer": "-60307/73", "answer_type": "rational", "kind": "expression", "math_text": "-29 - 798 - 64 / (-73)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": 798, \"c\": 64, \"d\": -73}", "seed": "9216708249333845541", "semantic_fingerprint": "sha256:96416c05ec7ff0f7570cfe5eed51483ea2d5725cca6e93f25ea3127eb6854f29", "generator_version": "3.0"}
{"id": "v3_test_id_00004171", "prompt": "What is -9 * (-811 - (-2))?", "solution_steps": ["Subtract: -811 - (-2) = -809", "Multiply: -9 * (-809) = 7281"], "final_answer": "7281", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (-811 - (-2))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -811, \"c\": -2}", "seed": "17380350688223276035", "semantic_fingerprint": "sha256:612477171bacbeb226721215edce85853aaa7f1568a54dd6a5a914cf1cdd4d16", "generator_version": "3.0"}
{"id": "v3_test_id_00004172", "prompt": "Solve for x: x + 3 = 4(x - 76) - 27", "solution_steps": ["Expand: x + 3 = 4x - 304 - 27", "Combine constants: x + 3 = 4x - 331", "Subtract 4x from both sides: -3x + 3 = -331", "Subtract 3 from both sides: -3x = -334", "Divide both sides by -3: x = 334/3"], "final_answer": "334/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 3 = 4(x - 76) - 27", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 4, \"c\": 76, \"d\": 27}", "seed": "15116620875808323757", "semantic_fingerprint": "sha256:45f5f6cf52d322a8a018dc3578e72dbb266ad9cb64263f83258d677f05149e88", "generator_version": "3.0"}
{"id": "v3_test_id_00004173", "prompt": "Solve the equation 12(x - 2) + 871 = x + 836 for x.", "solution_steps": ["Expand: 12x - 24 + 871 = x + 836", "Combine constants: 12x + 847 = x + 836", "Subtract x from both sides: 11x + 847 = 836", "Subtract 847 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 - 2) + 871 = x + 836", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 871, \"e\": 836, \"x\": -1}", "seed": "1173811466702078818", "semantic_fingerprint": "sha256:79266a180a111173040907299ee8314d3a8c60c95e46990f18085afd54fc6617", "generator_version": "3.0"}
{"id": "v3_test_id_00004174", "prompt": "Compute: -3 / (-54)", "solution_steps": ["Divide: -3 / (-54) = 1/18"], "final_answer": "1/18", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-54)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -54}", "seed": "7275936981827477167", "semantic_fingerprint": "sha256:c72b28cac581877464c89c28ae0a81b78d41998928918beaac01296978cab416", "generator_version": "3.0"}
{"id": "v3_test_id_00004175", "prompt": "Solve the equation 6x + 4 = 12(x + 39) for x.", "solution_steps": ["Expand: 6x + 4 = 12x + 468", "Subtract 12x from both sides: -6x + 4 = 468", "Subtract 4 from both sides: -6x = 464", "Divide both sides by -6: x = -232/3"], "final_answer": "-232/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x + 4 = 12(x + 39)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 4, \"c\": 12, \"d\": 39}", "seed": "1636721771273160327", "semantic_fingerprint": "sha256:3d9ff073df2e0b7b4baf5a1e4e9e51db7b63e7487f87dfe921c432e77cd8b7ec", "generator_version": "3.0"}
{"id": "v3_test_id_00004176", "prompt": "What is 6 * 550 / (104 + 51 + (-2) * (-24))?", "solution_steps": ["Multiply: 6 * 550 = 3300", "Add: 104 + 51 = 155", "Multiply: -2 * (-24) = 48", "Add: 155 + 48 = 203", "Divide: 3300 / 203 = 3300/203"], "final_answer": "3300/203", "answer_type": "rational", "kind": "expression", "math_text": "6 * 550 / (104 + 51 + (-2) * (-24))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (+ (+ n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 550, \"c\": 104, \"d\": 51, \"e\": -2, \"f\": -24}", "seed": "9840447301696018240", "semantic_fingerprint": "sha256:ce449678de7943e7d7a5e20b06c290eb2394005b79cf3274aba5695cb55081e1", "generator_version": "3.0"}
{"id": "v3_test_id_00004177", "prompt": "Solve the equation 4(x - 70) - 79 = 3(x - 52) + 3 for x.", "solution_steps": ["Expand: 4x - 280 - 79 = 3(x - 52) + 3", "Expand: 4x - 280 - 79 = 3x - 156 + 3", "Combine constants: 4x - 359 = 3x - 156 + 3", "Combine constants: 4x - 359 = 3x - 153", "Subtract 3x from both sides: x - 359 = -153", "Add 359 to both sides: x = 206"], "final_answer": "206", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 70) - 79 = 3(x - 52) + 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 70, \"c\": 79, \"d\": 3, \"e\": 52, \"f\": 3}", "seed": "12890010542970322318", "semantic_fingerprint": "sha256:fa04cb81a5d69b2bcb27038a9375ee86458e14754b886db7531ff9192d363b47", "generator_version": "3.0"}
{"id": "v3_test_id_00004178", "prompt": "Evaluate: 44 + (0 - 54)", "solution_steps": ["Subtract: 0 - 54 = -54", "Add: 44 + (-54) = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "expression", "math_text": "44 + (0 - 54)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": 0, \"c\": 54}", "seed": "3136833324919574857", "semantic_fingerprint": "sha256:c75dd6942b61b137bc6fd58483b4b7dc340861225c78df14c5811d3b6a520c29", "generator_version": "3.0"}
{"id": "v3_test_id_00004179", "prompt": "What is 28 / (-402) * (-83)?", "solution_steps": ["Divide: 28 / (-402) = -14/201", "Multiply: (-14/201) * (-83) = 1162/201"], "final_answer": "1162/201", "answer_type": "rational", "kind": "expression", "math_text": "28 / (-402) * (-83)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": -402, \"c\": -83}", "seed": "9375340145116937432", "semantic_fingerprint": "sha256:07b2c8ea82b68d9cc602b93a6006b5ca27506295ef92806bcb2f1709f6abd01d", "generator_version": "3.0"}
{"id": "v3_test_id_00004180", "prompt": "Compute: 42 + (-1)", "solution_steps": ["Add: 42 + (-1) = 41"], "final_answer": "41", "answer_type": "integer", "kind": "expression", "math_text": "42 + (-1)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": -1}", "seed": "15781110030244695202", "semantic_fingerprint": "sha256:5416ebb167ba422704aa4bfff8070c62c982a4fd43b128a3261eb2fb4a35210a", "generator_version": "3.0"}
{"id": "v3_test_id_00004181", "prompt": "Evaluate: -18 - 7", "solution_steps": ["Subtract: -18 - 7 = -25"], "final_answer": "-25", "answer_type": "integer", "kind": "expression", "math_text": "-18 - 7", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": 7}", "seed": "4097365352508473145", "semantic_fingerprint": "sha256:99a9329e0675cd48ddf21cc2af773bf897e59a1cc6b780ec0270f2e78f88998a", "generator_version": "3.0"}
{"id": "v3_test_id_00004182", "prompt": "Calculate: -44 / (27 / (-1) / (-657 + 4))", "solution_steps": ["Divide: 27 / (-1) = -27", "Add: -657 + 4 = -653", "Divide: -27 / (-653) = 27/653", "Divide: -44 / (27/653) = -28732/27"], "final_answer": "-28732/27", "answer_type": "rational", "kind": "expression", "math_text": "-44 / (27 / (-1) / (-657 + 4))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (/ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": 27, \"c\": -1, \"d\": -657, \"e\": 4}", "seed": "14743857095114878634", "semantic_fingerprint": "sha256:1e394dc3c66cef1d6704def14ca3cc51536286ee3dfe3440d005193672d09efa", "generator_version": "3.0"}
{"id": "v3_test_id_00004183", "prompt": "What value of x satisfies 7(x + 2) + 485 = -7(x + 8) + 723?", "solution_steps": ["Expand: 7x + 14 + 485 = -7(x + 8) + 723", "Expand: 7x + 14 + 485 = -7x - 56 + 723", "Combine constants: 7x + 499 = -7x - 56 + 723", "Combine constants: 7x + 499 = -7x + 667", "Add 7x to both sides: 14x + 499 = 667", "Subtract 499 from both sides: 14x = 168", "Divide both sides by 14: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 2) + 485 = -7(x + 8) + 723", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 2, \"c\": 485, \"d\": -7, \"e\": 8, \"g\": 723, \"x\": 12}", "seed": "4245737804319650408", "semantic_fingerprint": "sha256:a9abb0809f134231a881c685c22b04bd89698140e27e85dbbf9d9852a9f7fd71", "generator_version": "3.0"}
{"id": "v3_test_id_00004184", "prompt": "What is 29 - 39 / 77 / 45?", "solution_steps": ["Divide: 39 / 77 = 39/77", "Divide: (39/77) / 45 = 13/1155", "Subtract: 29 - 13/1155 = 33482/1155"], "final_answer": "33482/1155", "answer_type": "rational", "kind": "expression", "math_text": "29 - 39 / 77 / 45", "variable": null, "family": "expression_3op", "shape": "(- n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 39, \"c\": 77, \"d\": 45}", "seed": "8271765085564984164", "semantic_fingerprint": "sha256:29fff542c82190c73b8ace7e99f200fea4ab827c4959d33a164f6b2457fc2a75", "generator_version": "3.0"}
{"id": "v3_test_id_00004185", "prompt": "Solve for x: -4(x - 763) = 12(x + 9) - 11", "solution_steps": ["Expand: -4x + 3052 = 12(x + 9) - 11", "Expand: -4x + 3052 = 12x + 108 - 11", "Combine constants: -4x + 3052 = 12x + 97", "Subtract 12x from both sides: -16x + 3052 = 97", "Subtract 3052 from both sides: -16x = -2955", "Divide both sides by -16: x = 2955/16"], "final_answer": "2955/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x - 763) = 12(x + 9) - 11", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 763, \"c\": 12, \"d\": 9, \"e\": 11}", "seed": "3680078730838639873", "semantic_fingerprint": "sha256:20b1ec13ffd0fe83d22ed2e147f756bd4dd4edcfad06aee69083f1ea5f336b06", "generator_version": "3.0"}
{"id": "v3_test_id_00004186", "prompt": "Evaluate: -7 / (733 - 843)", "solution_steps": ["Subtract: 733 - 843 = -110", "Divide: -7 / (-110) = 7/110"], "final_answer": "7/110", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (733 - 843)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 733, \"c\": 843}", "seed": "4009295469250459999", "semantic_fingerprint": "sha256:6b86c1346da91e9f46388ce97db3d7e9dff8fce4726cdac0a74d4d0afb4d0726", "generator_version": "3.0"}
{"id": "v3_test_id_00004187", "prompt": "What value of x satisfies 2(x + 117) - 234 = 12x?", "solution_steps": ["Expand: 2x + 234 - 234 = 12x", "Combine constants: 2x = 12x", "Subtract 12x from both sides: -10x = 0", "Divide both sides by -10: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 117) - 234 = 12x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 117, \"c\": 12, \"e\": -234, \"x\": 0}", "seed": "3026895566184366273", "semantic_fingerprint": "sha256:bc27d37ea3644a342540475ecf6e6c75416dbd50061f7f740b74a0672ce77bfd", "generator_version": "3.0"}
{"id": "v3_test_id_00004188", "prompt": "What value of x satisfies 11x - 5 = x - 105?", "solution_steps": ["Subtract x from both sides: 10x - 5 = -105", "Add 5 to both sides: 10x = -100", "Divide both sides by 10: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 5 = x - 105", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"d\": -105, \"x\": -10}", "seed": "912789829900264366", "semantic_fingerprint": "sha256:cc241649cba36d7c7f2eb71ef07a09c160c55837eafb651cd8e0c8e173254032", "generator_version": "3.0"}
{"id": "v3_test_id_00004189", "prompt": "Evaluate: 49 + (-9)", "solution_steps": ["Add: 49 + (-9) = 40"], "final_answer": "40", "answer_type": "integer", "kind": "expression", "math_text": "49 + (-9)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": -9}", "seed": "3328854548753912754", "semantic_fingerprint": "sha256:c86fbc6586328daa3cb45902976dd7fe6b4c55af05cd19b9b4dedb815bd4ba90", "generator_version": "3.0"}
{"id": "v3_test_id_00004190", "prompt": "What value of x satisfies 3(x + 67) + 487 = 12x + 616?", "solution_steps": ["Expand: 3x + 201 + 487 = 12x + 616", "Combine constants: 3x + 688 = 12x + 616", "Subtract 12x from both sides: -9x + 688 = 616", "Subtract 688 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 + 67) + 487 = 12x + 616", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 67, \"c\": 487, \"d\": 12, \"f\": 616, \"x\": 8}", "seed": "17093558233423998461", "semantic_fingerprint": "sha256:7004a2dccd17299f404c7a5525c6127eb6aabdd5e3678a9ac2a6ad517ca1b303", "generator_version": "3.0"}
{"id": "v3_test_id_00004191", "prompt": "Solve for x: 11(x + 53) - 593 = x", "solution_steps": ["Expand: 11x + 583 - 593 = x", "Combine constants: 11x - 10 = x", "Subtract x from both sides: 10x - 10 = 0", "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": "11(x + 53) - 593 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 53, \"d\": -593, \"x\": 1}", "seed": "3258192961715721424", "semantic_fingerprint": "sha256:28c42bb896e3af39de03038f64218af93fbbefa24f48e2741eec463b7dab3d05", "generator_version": "3.0"}
{"id": "v3_test_id_00004192", "prompt": "What is (98 + 4) / 787?", "solution_steps": ["Add: 98 + 4 = 102", "Divide: 102 / 787 = 102/787"], "final_answer": "102/787", "answer_type": "rational", "kind": "expression", "math_text": "(98 + 4) / 787", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": 4, \"c\": 787}", "seed": "16583483648763450185", "semantic_fingerprint": "sha256:088b1d876960eb59cd7b7684e1cc375d54300cbb0c690da5cb9d72798eaaf4f4", "generator_version": "3.0"}
{"id": "v3_test_id_00004193", "prompt": "What is -6 - (75 - (-78))?", "solution_steps": ["Subtract: 75 - (-78) = 153", "Subtract: -6 - 153 = -159"], "final_answer": "-159", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (75 - (-78))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 75, \"c\": -78}", "seed": "8938575866905926491", "semantic_fingerprint": "sha256:ae5eb787e214e6e9aa03220452ec53d8426201e3ad4daf167f88d43fce0a0d28", "generator_version": "3.0"}
{"id": "v3_test_id_00004194", "prompt": "What is 31 - (89 - (-547))?", "solution_steps": ["Subtract: 89 - (-547) = 636", "Subtract: 31 - 636 = -605"], "final_answer": "-605", "answer_type": "integer", "kind": "expression", "math_text": "31 - (89 - (-547))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 89, \"c\": -547}", "seed": "4369065479316151069", "semantic_fingerprint": "sha256:da574324e9bac24d0827c4d04bcfc3e62a688f303a30982fa32e5d609dffa613", "generator_version": "3.0"}
{"id": "v3_test_id_00004195", "prompt": "Find x: 5x + 1 = 81", "solution_steps": ["Subtract 1 from both sides: 5x = 80", "Divide both sides by 5: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 1 = 81", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 1, \"d\": 81, \"x\": 16}", "seed": "5989041027175400727", "semantic_fingerprint": "sha256:9356d59d0c787850b9b54b499b2fb66c341e83c078dcb7214b3584449411d7ab", "generator_version": "3.0"}
{"id": "v3_test_id_00004196", "prompt": "Find x: -7x = 140", "solution_steps": ["Divide both sides by -7: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x = 140", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"c\": 140, \"x\": -20}", "seed": "4591022244795522952", "semantic_fingerprint": "sha256:f5d371382b6a9dd05640dc5e4a3466d11a990904c6c67032ea331be8fcaa1732", "generator_version": "3.0"}
{"id": "v3_test_id_00004197", "prompt": "What value of x satisfies 7(x - 74) - 121 = 9x - 675?", "solution_steps": ["Expand: 7x - 518 - 121 = 9x - 675", "Combine constants: 7x - 639 = 9x - 675", "Subtract 9x from both sides: -2x - 639 = -675", "Add 639 to both sides: -2x = -36", "Divide both sides by -2: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 74) - 121 = 9x - 675", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 74, \"c\": 121, \"d\": 9, \"f\": -675, \"x\": 18}", "seed": "7891479045134176286", "semantic_fingerprint": "sha256:c608d02958c091f140b1ac6100fb720a219b486fcba9c957ef9d34491ebc25fb", "generator_version": "3.0"}
{"id": "v3_test_id_00004198", "prompt": "What is 309 / (188 - 90 / 7)?", "solution_steps": ["Divide: 90 / 7 = 90/7", "Subtract: 188 - 90/7 = 1226/7", "Divide: 309 / (1226/7) = 2163/1226"], "final_answer": "2163/1226", "answer_type": "rational", "kind": "expression", "math_text": "309 / (188 - 90 / 7)", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 309, \"b\": 188, \"c\": 90, \"d\": 7}", "seed": "7416329482138952992", "semantic_fingerprint": "sha256:b42a403024096a258e47b4fd5893115a06890a04a90bb451f524fd27c9c549bb", "generator_version": "3.0"}
{"id": "v3_test_id_00004199", "prompt": "Solve the equation 2(x - 92) - 4 = x for x.", "solution_steps": ["Expand: 2x - 184 - 4 = x", "Combine constants: 2x - 188 = x", "Subtract x from both sides: x - 188 = 0", "Add 188 to both sides: x = 188"], "final_answer": "188", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 92) - 4 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 92, \"c\": 4}", "seed": "2507226811456075819", "semantic_fingerprint": "sha256:d1cc7bbc908ab2c6556d3ecb2560c71e68b4b997f1b3efdc95bba2849af16da1", "generator_version": "3.0"}
{"id": "v3_test_id_00004200", "prompt": "Compute: (-424 + (-14)) / 181", "solution_steps": ["Add: -424 + (-14) = -438", "Divide: -438 / 181 = -438/181"], "final_answer": "-438/181", "answer_type": "rational", "kind": "expression", "math_text": "(-424 + (-14)) / 181", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -424, \"b\": -14, \"c\": 181}", "seed": "17233493513869758372", "semantic_fingerprint": "sha256:e5e57eabd9df4129f05de2edf819bbf7407e6e6b83ec35f22805664fafe43688", "generator_version": "3.0"}
{"id": "v3_test_id_00004201", "prompt": "Solve the equation 9(x - 3) + 4 = -12(x - 47) - 335 for x.", "solution_steps": ["Expand: 9x - 27 + 4 = -12(x - 47) - 335", "Expand: 9x - 27 + 4 = -12x + 564 - 335", "Combine constants: 9x - 23 = -12x + 564 - 335", "Combine constants: 9x - 23 = -12x + 229", "Add 12x to both sides: 21x - 23 = 229", "Add 23 to both sides: 21x = 252", "Divide both sides by 21: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 3) + 4 = -12(x - 47) - 335", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 4, \"d\": -12, \"e\": 47, \"g\": -335, \"x\": 12}", "seed": "12278753624552698795", "semantic_fingerprint": "sha256:80c7976d495ff8a36c1b03f3cd80351f814aad506949d0be4cdd25a39b457351", "generator_version": "3.0"}
{"id": "v3_test_id_00004202", "prompt": "What is 12 / (-51) * (-61 + (-36))?", "solution_steps": ["Divide: 12 / (-51) = -4/17", "Add: -61 + (-36) = -97", "Multiply: (-4/17) * (-97) = 388/17"], "final_answer": "388/17", "answer_type": "rational", "kind": "expression", "math_text": "12 / (-51) * (-61 + (-36))", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -51, \"c\": -61, \"d\": -36}", "seed": "12050705378425549846", "semantic_fingerprint": "sha256:96b4d921ace10eea648659c71f9ba8860d09038acac0734ad38e0ffac1e2ff64", "generator_version": "3.0"}
{"id": "v3_test_id_00004203", "prompt": "Calculate: 3 - (-957) / (-932)", "solution_steps": ["Divide: -957 / (-932) = 957/932", "Subtract: 3 - 957/932 = 1839/932"], "final_answer": "1839/932", "answer_type": "rational", "kind": "expression", "math_text": "3 - (-957) / (-932)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -957, \"c\": -932}", "seed": "5221775076599253408", "semantic_fingerprint": "sha256:98127bf71b67d3ea8c7df16f89f2ba57ddd718fa178c337e51343c25a0f0b69d", "generator_version": "3.0"}
{"id": "v3_test_id_00004204", "prompt": "Compute: 277 - (-4) / (-4)", "solution_steps": ["Divide: -4 / (-4) = 1", "Subtract: 277 - 1 = 276"], "final_answer": "276", "answer_type": "integer", "kind": "expression", "math_text": "277 - (-4) / (-4)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 277, \"b\": -4, \"c\": -4}", "seed": "11166584210847379544", "semantic_fingerprint": "sha256:baf0981e24dc70aa0023c2eb3983234b04c00d3effd35e7f7948cd6c138fd8f9", "generator_version": "3.0"}
{"id": "v3_test_id_00004205", "prompt": "What is 415 / (-8) - (-7)?", "solution_steps": ["Divide: 415 / (-8) = -415/8", "Subtract: -415/8 - (-7) = -359/8"], "final_answer": "-359/8", "answer_type": "rational", "kind": "expression", "math_text": "415 / (-8) - (-7)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 415, \"b\": -8, \"c\": -7}", "seed": "11425996907478944125", "semantic_fingerprint": "sha256:7b46052e4e53170b2b0992c80c129010ac7f3b3e06c157e092cbe3649b82a11d", "generator_version": "3.0"}
{"id": "v3_test_id_00004206", "prompt": "Compute: -44 + (-373) / (-6)", "solution_steps": ["Divide: -373 / (-6) = 373/6", "Add: -44 + 373/6 = 109/6"], "final_answer": "109/6", "answer_type": "rational", "kind": "expression", "math_text": "-44 + (-373) / (-6)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -373, \"c\": -6}", "seed": "12166459850201103255", "semantic_fingerprint": "sha256:318088727e90a9fe792aa4c07a1a010f6ae1a6b565c4c20a633cdb325b702008", "generator_version": "3.0"}
{"id": "v3_test_id_00004207", "prompt": "Solve for x: -9(x + 46) = -6(x - 1) - 408", "solution_steps": ["Expand: -9x - 414 = -6(x - 1) - 408", "Expand: -9x - 414 = -6x + 6 - 408", "Combine constants: -9x - 414 = -6x - 402", "Add 6x to both sides: -3x - 414 = -402", "Add 414 to both sides: -3x = 12", "Divide both sides by -3: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 46) = -6(x - 1) - 408", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 46, \"c\": -6, \"d\": 1, \"f\": -408, \"x\": -4}", "seed": "3461134269860518767", "semantic_fingerprint": "sha256:2f898ccbb66c3c40487a094e018cca24ae16440b1af3383e8aba28a2777f9b9b", "generator_version": "3.0"}
{"id": "v3_test_id_00004208", "prompt": "Solve for x: 5(x + 1) = 7x", "solution_steps": ["Expand: 5x + 5 = 7x", "Subtract 7x from both sides: -2x + 5 = 0", "Subtract 5 from both sides: -2x = -5", "Divide both sides by -2: x = 5/2"], "final_answer": "5/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 1) = 7x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 1, \"c\": 7}", "seed": "14482213700146343553", "semantic_fingerprint": "sha256:e3c3fe9807d0fd16c30421b45d1a7a7ed65a2cdd6404811246d686a4187eacf6", "generator_version": "3.0"}
{"id": "v3_test_id_00004209", "prompt": "Evaluate: (-36 - (-186)) * (7 - 70 * 42)", "solution_steps": ["Subtract: -36 - (-186) = 150", "Multiply: 70 * 42 = 2940", "Subtract: 7 - 2940 = -2933", "Multiply: 150 * (-2933) = -439950"], "final_answer": "-439950", "answer_type": "integer", "kind": "expression", "math_text": "(-36 - (-186)) * (7 - 70 * 42)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": -186, \"c\": 7, \"d\": 70, \"e\": 42}", "seed": "2316549166353146630", "semantic_fingerprint": "sha256:e53f467d2437d53e4c9989ff31c74c58cc808dc75409c680ec68c0f8c22af361", "generator_version": "3.0"}
{"id": "v3_test_id_00004210", "prompt": "What is 182 * ((633 - 80) / 13)?", "solution_steps": ["Subtract: 633 - 80 = 553", "Divide: 553 / 13 = 553/13", "Multiply: 182 * (553/13) = 7742"], "final_answer": "7742", "answer_type": "integer", "kind": "expression", "math_text": "182 * ((633 - 80) / 13)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 182, \"b\": 633, \"c\": 80, \"d\": 13}", "seed": "10074587282783063024", "semantic_fingerprint": "sha256:e5e6d5fb134ad9459da1a0038038b3657ee6903b530fbd91a2dafc44b89971a9", "generator_version": "3.0"}
{"id": "v3_test_id_00004211", "prompt": "Calculate: -139 / (-63 * (-5))", "solution_steps": ["Multiply: -63 * (-5) = 315", "Divide: -139 / 315 = -139/315"], "final_answer": "-139/315", "answer_type": "rational", "kind": "expression", "math_text": "-139 / (-63 * (-5))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -139, \"b\": -63, \"c\": -5}", "seed": "698815527139858229", "semantic_fingerprint": "sha256:eb8705ab1543f3c962968cf962ae3d284ea8470370be151e2db02a83584d2860", "generator_version": "3.0"}
{"id": "v3_test_id_00004212", "prompt": "Evaluate: -88 * (-3) / (-40) * ((-7 - 1) * 84)", "solution_steps": ["Multiply: -88 * (-3) = 264", "Divide: 264 / (-40) = -33/5", "Subtract: -7 - 1 = -8", "Multiply: -8 * 84 = -672", "Multiply: (-33/5) * (-672) = 22176/5"], "final_answer": "22176/5", "answer_type": "rational", "kind": "expression", "math_text": "-88 * (-3) / (-40) * ((-7 - 1) * 84)", "variable": null, "family": "expression_5op", "shape": "(* (/ (* n n) n) (* (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": -3, \"c\": -40, \"d\": -7, \"e\": 1, \"f\": 84}", "seed": "5505411340000184791", "semantic_fingerprint": "sha256:7135c511e9093941afd1607377291e5b1aa959f75e2b7f241e5d30e4926feb51", "generator_version": "3.0"}
{"id": "v3_test_id_00004213", "prompt": "Evaluate: -7 + (-65) / 93", "solution_steps": ["Divide: -65 / 93 = -65/93", "Add: -7 + (-65/93) = -716/93"], "final_answer": "-716/93", "answer_type": "rational", "kind": "expression", "math_text": "-7 + (-65) / 93", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -65, \"c\": 93}", "seed": "17101292243329676223", "semantic_fingerprint": "sha256:be8629e84af1628331b3417d28296ca9f7aabfcfc610deb863c2e44cf7fee428", "generator_version": "3.0"}
{"id": "v3_test_id_00004214", "prompt": "Calculate: -12 - 663 - (-86)", "solution_steps": ["Subtract: -12 - 663 = -675", "Subtract: -675 - (-86) = -589"], "final_answer": "-589", "answer_type": "integer", "kind": "expression", "math_text": "-12 - 663 - (-86)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 663, \"c\": -86}", "seed": "7833743214876902409", "semantic_fingerprint": "sha256:32230b7148201a975684a34fad1b184e0e28e370757c296e9321fcb1d27547b3", "generator_version": "3.0"}
{"id": "v3_test_id_00004215", "prompt": "What is -49 / (6 * (-21)) / 388?", "solution_steps": ["Multiply: 6 * (-21) = -126", "Divide: -49 / (-126) = 7/18", "Divide: (7/18) / 388 = 7/6984"], "final_answer": "7/6984", "answer_type": "rational", "kind": "expression", "math_text": "-49 / (6 * (-21)) / 388", "variable": null, "family": "expression_3op", "shape": "(/ (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": 6, \"c\": -21, \"d\": 388}", "seed": "3040073718204324545", "semantic_fingerprint": "sha256:4409933f3c57573fbebac2369753318d7b9dbd13a5f8bc94e779afdcdfbc0500", "generator_version": "3.0"}
{"id": "v3_test_id_00004216", "prompt": "What is 50 + 742 / 7 - 1 - (-50)?", "solution_steps": ["Divide: 742 / 7 = 106", "Add: 50 + 106 = 156", "Subtract: 156 - 1 = 155", "Subtract: 155 - (-50) = 205"], "final_answer": "205", "answer_type": "integer", "kind": "expression", "math_text": "50 + 742 / 7 - 1 - (-50)", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": 742, \"c\": 7, \"d\": 1, \"e\": -50}", "seed": "6257908862679373556", "semantic_fingerprint": "sha256:85c0259523c7ebc3fe91cf29f74f2f8057cffb5d4d666d3ccab419281db7f950", "generator_version": "3.0"}
{"id": "v3_test_id_00004217", "prompt": "Find x: 4x - 123 = -5x", "solution_steps": ["Add 5x to both sides: 9x - 123 = 0", "Add 123 to both sides: 9x = 123", "Divide both sides by 9: x = 41/3"], "final_answer": "41/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x - 123 = -5x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 123, \"c\": -5}", "seed": "7282188300243443824", "semantic_fingerprint": "sha256:77fbd9d6dbbc289a4b5dc79546ade60f0cdbf75753c41ee2b0867bece3fc4546", "generator_version": "3.0"}
{"id": "v3_test_id_00004218", "prompt": "What is 10 / (-49 / (-48 - 6))?", "solution_steps": ["Subtract: -48 - 6 = -54", "Divide: -49 / (-54) = 49/54", "Divide: 10 / (49/54) = 540/49"], "final_answer": "540/49", "answer_type": "rational", "kind": "expression", "math_text": "10 / (-49 / (-48 - 6))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -49, \"c\": -48, \"d\": 6}", "seed": "5612745354140501706", "semantic_fingerprint": "sha256:3fb24b8530c0bcf047406b484ed7faa6578df373c53ffd67f1f886ab5828998a", "generator_version": "3.0"}
{"id": "v3_test_id_00004219", "prompt": "What is -43 + (68 - 912) / (-5)?", "solution_steps": ["Subtract: 68 - 912 = -844", "Divide: -844 / (-5) = 844/5", "Add: -43 + 844/5 = 629/5"], "final_answer": "629/5", "answer_type": "rational", "kind": "expression", "math_text": "-43 + (68 - 912) / (-5)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": 68, \"c\": 912, \"d\": -5}", "seed": "15040993085040387140", "semantic_fingerprint": "sha256:0dce13b3792c554a09b3971134c3b97b35fa28ce741301b19b28a3a5e9d8a16a", "generator_version": "3.0"}
{"id": "v3_test_id_00004220", "prompt": "What value of x satisfies 11(x + 34) - 394 = x?", "solution_steps": ["Expand: 11x + 374 - 394 = x", "Combine constants: 11x - 20 = x", "Subtract x from both sides: 10x - 20 = 0", "Add 20 to both sides: 10x = 20", "Divide both sides by 10: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 34) - 394 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 34, \"d\": -394, \"x\": 2}", "seed": "725767680275317157", "semantic_fingerprint": "sha256:829ad7996b44535405df4b79b6c809b5ba6cddec599dbed085fb46b7fb14ec17", "generator_version": "3.0"}
{"id": "v3_test_id_00004221", "prompt": "What value of x satisfies x = 6x - 257?", "solution_steps": ["Subtract 6x from both sides: -5x = -257", "Divide both sides by -5: x = 257/5"], "final_answer": "257/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 6x - 257", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 257}", "seed": "18198110135593079761", "semantic_fingerprint": "sha256:5cfcaa4d083bf67362c8ea3b48536d89b4a2eb363e830150900e81e2a2732f5f", "generator_version": "3.0"}
{"id": "v3_test_id_00004222", "prompt": "What value of x satisfies 11(x + 57) - 8 = 7x + 54?", "solution_steps": ["Expand: 11x + 627 - 8 = 7x + 54", "Combine constants: 11x + 619 = 7x + 54", "Subtract 7x from both sides: 4x + 619 = 54", "Subtract 619 from both sides: 4x = -565", "Divide both sides by 4: x = -565/4"], "final_answer": "-565/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 57) - 8 = 7x + 54", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 57, \"c\": 8, \"d\": 7, \"e\": 54}", "seed": "9782709110293254264", "semantic_fingerprint": "sha256:b61896c6f2abfdb4520f3f116a179aaf40746604f676d2d1e3f52de9a1a2965f", "generator_version": "3.0"}
{"id": "v3_test_id_00004223", "prompt": "Find x: 2(x - 584) + 9 = 6", "solution_steps": ["Expand: 2x - 1168 + 9 = 6", "Combine constants: 2x - 1159 = 6", "Add 1159 to both sides: 2x = 1165", "Divide both sides by 2: x = 1165/2"], "final_answer": "1165/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 584) + 9 = 6", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 584, \"c\": 9, \"d\": 6}", "seed": "10251841459145000556", "semantic_fingerprint": "sha256:a1424fd63a1bc2e03a082f7ca2c51a41d6c23f65c0a9d2734e63bf7c94463fd6", "generator_version": "3.0"}
{"id": "v3_test_id_00004224", "prompt": "Evaluate: -8 + 382 / (-115 * (-42))", "solution_steps": ["Multiply: -115 * (-42) = 4830", "Divide: 382 / 4830 = 191/2415", "Add: -8 + 191/2415 = -19129/2415"], "final_answer": "-19129/2415", "answer_type": "rational", "kind": "expression", "math_text": "-8 + 382 / (-115 * (-42))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 382, \"c\": -115, \"d\": -42}", "seed": "2764429405450909341", "semantic_fingerprint": "sha256:06fa5214f7f2d198d7f7acd654cef259f9465916436d101fe8d54930b7122564", "generator_version": "3.0"}
{"id": "v3_test_id_00004225", "prompt": "Find x: 11x + 46 = 5(x + 20)", "solution_steps": ["Expand: 11x + 46 = 5x + 100", "Subtract 5x from both sides: 6x + 46 = 100", "Subtract 46 from both sides: 6x = 54", "Divide both sides by 6: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 46 = 5(x + 20)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": 20, \"e\": 46, \"x\": 9}", "seed": "8834703657619217591", "semantic_fingerprint": "sha256:e190965bcfcfa96859e40bc679e7ab869aa9b06d225e8276908c389854d5871e", "generator_version": "3.0"}
{"id": "v3_test_id_00004226", "prompt": "What is (31 - (-5)) / (-43)?", "solution_steps": ["Subtract: 31 - (-5) = 36", "Divide: 36 / (-43) = -36/43"], "final_answer": "-36/43", "answer_type": "rational", "kind": "expression", "math_text": "(31 - (-5)) / (-43)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": -5, \"c\": -43}", "seed": "6237198344201511810", "semantic_fingerprint": "sha256:6c96b1fc719057eb970b46840a780736d9b67e568879f8a4815d6e99a63101cd", "generator_version": "3.0"}
{"id": "v3_test_id_00004227", "prompt": "What is -301 + (-29) / (-4 * (-590 / (-7)))?", "solution_steps": ["Divide: -590 / (-7) = 590/7", "Multiply: -4 * (590/7) = -2360/7", "Divide: -29 / (-2360/7) = 203/2360", "Add: -301 + 203/2360 = -710157/2360"], "final_answer": "-710157/2360", "answer_type": "rational", "kind": "expression", "math_text": "-301 + (-29) / (-4 * (-590 / (-7)))", "variable": null, "family": "expression_4op", "shape": "(+ n (/ n (* n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -301, \"b\": -29, \"c\": -4, \"d\": -590, \"e\": -7}", "seed": "1113064288009568632", "semantic_fingerprint": "sha256:43636db6c71d9d11e22ceca2f03d937908acafc19dd4284c1b35f8ec84b6c365", "generator_version": "3.0"}
{"id": "v3_test_id_00004228", "prompt": "Compute: 61 / 787", "solution_steps": ["Divide: 61 / 787 = 61/787"], "final_answer": "61/787", "answer_type": "rational", "kind": "expression", "math_text": "61 / 787", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": 787}", "seed": "3042536483224841104", "semantic_fingerprint": "sha256:9f487c143ce332af4aae79fd4322c1c8ea67b4e502fa7d0f9ebff2058004ff0e", "generator_version": "3.0"}
{"id": "v3_test_id_00004229", "prompt": "Calculate: -68 / (-497)", "solution_steps": ["Divide: -68 / (-497) = 68/497"], "final_answer": "68/497", "answer_type": "rational", "kind": "expression", "math_text": "-68 / (-497)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": -497}", "seed": "17809860022868614348", "semantic_fingerprint": "sha256:0b5b85fe49f51e76b6b925c3be79edb4685f157dc290666bfc31da65a11c1098", "generator_version": "3.0"}
{"id": "v3_test_id_00004230", "prompt": "Calculate: -84 + (-23) / (-9)", "solution_steps": ["Divide: -23 / (-9) = 23/9", "Add: -84 + 23/9 = -733/9"], "final_answer": "-733/9", "answer_type": "rational", "kind": "expression", "math_text": "-84 + (-23) / (-9)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": -23, \"c\": -9}", "seed": "5581292456404489259", "semantic_fingerprint": "sha256:fb9eec86fdcff2a9826a8c05fcda3a433cba0ac9ae9c7b937d5df91334035524", "generator_version": "3.0"}
{"id": "v3_test_id_00004231", "prompt": "Evaluate: 5 - 520 + 27", "solution_steps": ["Subtract: 5 - 520 = -515", "Add: -515 + 27 = -488"], "final_answer": "-488", "answer_type": "integer", "kind": "expression", "math_text": "5 - 520 + 27", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 520, \"c\": 27}", "seed": "7492100602532133152", "semantic_fingerprint": "sha256:7006662726272d503a0b8e9766dbeaf34a1df6f54fdde0417168991e9eac770c", "generator_version": "3.0"}
{"id": "v3_test_id_00004232", "prompt": "Evaluate: 91 / (-852) * (-7 * 76 * (-38))", "solution_steps": ["Divide: 91 / (-852) = -91/852", "Multiply: -7 * 76 = -532", "Multiply: -532 * (-38) = 20216", "Multiply: (-91/852) * 20216 = -459914/213"], "final_answer": "-459914/213", "answer_type": "rational", "kind": "expression", "math_text": "91 / (-852) * (-7 * 76 * (-38))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (* (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": -852, \"c\": -7, \"d\": 76, \"e\": -38}", "seed": "14378557000697371077", "semantic_fingerprint": "sha256:b46185dc2f2332b155c0edca61330a12d2ffdf8820fde84e4b22f5607180afe5", "generator_version": "3.0"}
{"id": "v3_test_id_00004233", "prompt": "Calculate: -9 + 676", "solution_steps": ["Add: -9 + 676 = 667"], "final_answer": "667", "answer_type": "integer", "kind": "expression", "math_text": "-9 + 676", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 676}", "seed": "1347226641063748880", "semantic_fingerprint": "sha256:5bceaa484adeeb3bcc2a6002a22a52d584e4efb7d2b73d2ecd3dbfeecf47607d", "generator_version": "3.0"}
{"id": "v3_test_id_00004234", "prompt": "Compute: -23 / (-566)", "solution_steps": ["Divide: -23 / (-566) = 23/566"], "final_answer": "23/566", "answer_type": "rational", "kind": "expression", "math_text": "-23 / (-566)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": -566}", "seed": "3994673212582461582", "semantic_fingerprint": "sha256:e88844f124da4a0c257e8e35bdc88b4442318dcb3644c6b17c79233437610a45", "generator_version": "3.0"}
{"id": "v3_test_id_00004235", "prompt": "Calculate: 822 - (-7) * (-1) + 509 - (-56)", "solution_steps": ["Multiply: -7 * (-1) = 7", "Subtract: 822 - 7 = 815", "Add: 815 + 509 = 1324", "Subtract: 1324 - (-56) = 1380"], "final_answer": "1380", "answer_type": "integer", "kind": "expression", "math_text": "822 - (-7) * (-1) + 509 - (-56)", "variable": null, "family": "expression_4op", "shape": "(- (+ (- n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 822, \"b\": -7, \"c\": -1, \"d\": 509, \"e\": -56}", "seed": "6048635329532656746", "semantic_fingerprint": "sha256:6fda39d6a35c8ded1418eb7ec357dcbbfb953b2be0405a31b22ce338df5f81e7", "generator_version": "3.0"}
{"id": "v3_test_id_00004236", "prompt": "Find x: 10(x - 43) = x - 41", "solution_steps": ["Expand: 10x - 430 = x - 41", "Subtract x from both sides: 9x - 430 = -41", "Add 430 to both sides: 9x = 389", "Divide both sides by 9: x = 389/9"], "final_answer": "389/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 43) = x - 41", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 43, \"c\": 41}", "seed": "123838530228143218", "semantic_fingerprint": "sha256:9bd7ea9dddeb2a515d8e9a81e639144e8f0876d957c21d4bb935a733da6bde67", "generator_version": "3.0"}
{"id": "v3_test_id_00004237", "prompt": "Calculate: -920 - (45 + (-82 - 200) * (-1))", "solution_steps": ["Subtract: -82 - 200 = -282", "Multiply: -282 * (-1) = 282", "Add: 45 + 282 = 327", "Subtract: -920 - 327 = -1247"], "final_answer": "-1247", "answer_type": "integer", "kind": "expression", "math_text": "-920 - (45 + (-82 - 200) * (-1))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (* (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -920, \"b\": 45, \"c\": -82, \"d\": 200, \"e\": -1}", "seed": "14434467199787573424", "semantic_fingerprint": "sha256:04633b7240aecbda2d6a3b5c18174a4d545d3cda9299b36c98f02fcf21203c44", "generator_version": "3.0"}
{"id": "v3_test_id_00004238", "prompt": "Solve for x: -10(x - 85) - 630 = x", "solution_steps": ["Expand: -10x + 850 - 630 = x", "Combine constants: -10x + 220 = x", "Subtract x from both sides: -11x + 220 = 0", "Subtract 220 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 - 85) - 630 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 85, \"d\": -630, \"x\": 20}", "seed": "14371502543585440723", "semantic_fingerprint": "sha256:355328552bb59a3e654025104e5f6a27a1687a281148917f9290bd3e64daedd1", "generator_version": "3.0"}
{"id": "v3_test_id_00004239", "prompt": "What is -51 * (-168) / (-59)?", "solution_steps": ["Multiply: -51 * (-168) = 8568", "Divide: 8568 / (-59) = -8568/59"], "final_answer": "-8568/59", "answer_type": "rational", "kind": "expression", "math_text": "-51 * (-168) / (-59)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": -168, \"c\": -59}", "seed": "10239742282043266683", "semantic_fingerprint": "sha256:248879c658288c153c9dc1ca1a79413a7cf56d951a14555b55db0c9b67efb83b", "generator_version": "3.0"}
{"id": "v3_test_id_00004240", "prompt": "Evaluate: (-923 - (-83)) / ((81 - 2) * 243)", "solution_steps": ["Subtract: -923 - (-83) = -840", "Subtract: 81 - 2 = 79", "Multiply: 79 * 243 = 19197", "Divide: -840 / 19197 = -280/6399"], "final_answer": "-280/6399", "answer_type": "rational", "kind": "expression", "math_text": "(-923 - (-83)) / ((81 - 2) * 243)", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (* (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -923, \"b\": -83, \"c\": 81, \"d\": 2, \"e\": 243}", "seed": "10147109846054570005", "semantic_fingerprint": "sha256:47206cbe7ad7d6917e33e1073d07758336dc473009c1a3382bae0f2cbdaa253b", "generator_version": "3.0"}
{"id": "v3_test_id_00004241", "prompt": "Compute: -89 + 4 + 680", "solution_steps": ["Add: -89 + 4 = -85", "Add: -85 + 680 = 595"], "final_answer": "595", "answer_type": "integer", "kind": "expression", "math_text": "-89 + 4 + 680", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -89, \"b\": 4, \"c\": 680}", "seed": "13472412115036738689", "semantic_fingerprint": "sha256:188c2265990456abd74d07903017bf5aad83bc83a86d5ab1503f365394cc5b65", "generator_version": "3.0"}
{"id": "v3_test_id_00004242", "prompt": "Calculate: 5 * 23 + 8", "solution_steps": ["Multiply: 5 * 23 = 115", "Add: 115 + 8 = 123"], "final_answer": "123", "answer_type": "integer", "kind": "expression", "math_text": "5 * 23 + 8", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 23, \"c\": 8}", "seed": "9455894117242663856", "semantic_fingerprint": "sha256:40967435864aebc577300ca480b42db82bc7ecfe4b283e3083c7d1f2a2daa437", "generator_version": "3.0"}
{"id": "v3_test_id_00004243", "prompt": "Compute: -6 * (94 * (-933))", "solution_steps": ["Multiply: 94 * (-933) = -87702", "Multiply: -6 * (-87702) = 526212"], "final_answer": "526212", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (94 * (-933))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 94, \"c\": -933}", "seed": "15135195346597126674", "semantic_fingerprint": "sha256:43b9808e4b553b0ed4379238f7b72cdd95676e90f67fdfb4ff78db69cc6f1922", "generator_version": "3.0"}
{"id": "v3_test_id_00004244", "prompt": "Evaluate: (-61 - 1) * 5 - (-56 - 0)", "solution_steps": ["Subtract: -61 - 1 = -62", "Multiply: -62 * 5 = -310", "Subtract: -56 - 0 = -56", "Subtract: -310 - (-56) = -254"], "final_answer": "-254", "answer_type": "integer", "kind": "expression", "math_text": "(-61 - 1) * 5 - (-56 - 0)", "variable": null, "family": "expression_4op", "shape": "(- (* (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": 1, \"c\": 5, \"d\": -56, \"e\": 0}", "seed": "11273209158135384312", "semantic_fingerprint": "sha256:d58ad9c3c360c8bf3af4ee91e3e81a9d95220b516f58c309ec0461aad32bf022", "generator_version": "3.0"}
{"id": "v3_test_id_00004245", "prompt": "Solve for x: 5(x - 65) = -81", "solution_steps": ["Expand: 5x - 325 = -81", "Add 325 to both sides: 5x = 244", "Divide both sides by 5: x = 244/5"], "final_answer": "244/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 65) = -81", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 65, \"c\": -81}", "seed": "10667839628463922658", "semantic_fingerprint": "sha256:e5f7a2a77b47eb9f96318e61a23d2f23d529207a2c8fe3b449caee5c4916656f", "generator_version": "3.0"}
{"id": "v3_test_id_00004246", "prompt": "Solve for x: -6x - 8 = x - 2", "solution_steps": ["Subtract x from both sides: -7x - 8 = -2", "Add 8 to both sides: -7x = 6", "Divide both sides by -7: x = -6/7"], "final_answer": "-6/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6x - 8 = x - 2", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 8, \"c\": 2}", "seed": "6893429788177391525", "semantic_fingerprint": "sha256:a3cbd62a1004f950723927321524fedd05628872e80f757aaf327d88443c58a0", "generator_version": "3.0"}
{"id": "v3_test_id_00004247", "prompt": "Evaluate: (-162 + (-3) * 198) * (7 / (-17))", "solution_steps": ["Multiply: -3 * 198 = -594", "Add: -162 + (-594) = -756", "Divide: 7 / (-17) = -7/17", "Multiply: -756 * (-7/17) = 5292/17"], "final_answer": "5292/17", "answer_type": "rational", "kind": "expression", "math_text": "(-162 + (-3) * 198) * (7 / (-17))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -162, \"b\": -3, \"c\": 198, \"d\": 7, \"e\": -17}", "seed": "6157797461611524865", "semantic_fingerprint": "sha256:83f715697eee5990ce9d7766039a4ac676178e694c018f9c40b6a5c1ff7be2e1", "generator_version": "3.0"}
{"id": "v3_test_id_00004248", "prompt": "Solve for x: x = 9(x - 11) + 171", "solution_steps": ["Expand: x = 9x - 99 + 171", "Combine constants: x = 9x + 72", "Subtract 9x from both sides: -8x = 72", "Divide both sides by -8: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 9(x - 11) + 171", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 11, \"d\": 171, \"x\": -9}", "seed": "11827890401934872306", "semantic_fingerprint": "sha256:99dc324dbf3676f2e5b6983bf6aa1e5614c37042b9c7d24a8a2c4e589a012394", "generator_version": "3.0"}
{"id": "v3_test_id_00004249", "prompt": "Solve the equation -8x + 736 = -6(x - 124) for x.", "solution_steps": ["Expand: -8x + 736 = -6x + 744", "Add 6x to both sides: -2x + 736 = 744", "Subtract 736 from both sides: -2x = 8", "Divide both sides by -2: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x + 736 = -6(x - 124)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -6, \"c\": 124, \"e\": 736, \"x\": -4}", "seed": "1275078679807792245", "semantic_fingerprint": "sha256:20f3eab62c2beb191760f3d18ec96c633b3ef0ce4e629e6faa0fbf3f98e655d7", "generator_version": "3.0"}
{"id": "v3_test_id_00004250", "prompt": "Solve for x: 8x = x + 140", "solution_steps": ["Subtract x from both sides: 7x = 140", "Divide both sides by 7: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = x + 140", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"c\": 140, \"x\": 20}", "seed": "12948701711953732723", "semantic_fingerprint": "sha256:0589bb84dd1d9608ee7559a8ee9b3e0b34e0c46adba2c828883aed17751f37a1", "generator_version": "3.0"}
{"id": "v3_test_id_00004251", "prompt": "Evaluate: -175 + 3", "solution_steps": ["Add: -175 + 3 = -172"], "final_answer": "-172", "answer_type": "integer", "kind": "expression", "math_text": "-175 + 3", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -175, \"b\": 3}", "seed": "8212370170076159759", "semantic_fingerprint": "sha256:e15f160f547350f29ad070bad5a8c9a721539a9c1d941cf1b6c7ea289207fe92", "generator_version": "3.0"}
{"id": "v3_test_id_00004252", "prompt": "What is -79 * (-45) - (-12)?", "solution_steps": ["Multiply: -79 * (-45) = 3555", "Subtract: 3555 - (-12) = 3567"], "final_answer": "3567", "answer_type": "integer", "kind": "expression", "math_text": "-79 * (-45) - (-12)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": -45, \"c\": -12}", "seed": "18388798029976954847", "semantic_fingerprint": "sha256:8f0f409d8894d1f502bc2ddd4b5a597a9fb607be23c848feba1b8624ce0d31a4", "generator_version": "3.0"}
{"id": "v3_test_id_00004253", "prompt": "Solve the equation x = -3(x + 61) + 155 for x.", "solution_steps": ["Expand: x = -3x - 183 + 155", "Combine constants: x = -3x - 28", "Add 3x to both sides: 4x = -28", "Divide both sides by 4: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -3(x + 61) + 155", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 61, \"d\": 155, \"x\": -7}", "seed": "3372560279105346399", "semantic_fingerprint": "sha256:6be02cba2840a72ce286bc1c87047891928c20556d4056b581e05c30c3774465", "generator_version": "3.0"}
{"id": "v3_test_id_00004254", "prompt": "Compute: (-160 + 19) * (0 + (-5) - 44)", "solution_steps": ["Add: -160 + 19 = -141", "Add: 0 + (-5) = -5", "Subtract: -5 - 44 = -49", "Multiply: -141 * (-49) = 6909"], "final_answer": "6909", "answer_type": "integer", "kind": "expression", "math_text": "(-160 + 19) * (0 + (-5) - 44)", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -160, \"b\": 19, \"c\": 0, \"d\": -5, \"e\": 44}", "seed": "5511721626117739268", "semantic_fingerprint": "sha256:a2fe8da918d4e729a9fbbfdea93d85f76296839b2cb49539dfb7dca4fac496fd", "generator_version": "3.0"}
{"id": "v3_test_id_00004255", "prompt": "Solve the equation -4x - 83 = -131 for x.", "solution_steps": ["Add 83 to both sides: -4x = -48", "Divide both sides by -4: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x - 83 = -131", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 83, \"d\": -131, \"x\": 12}", "seed": "9965466643787811295", "semantic_fingerprint": "sha256:7cfab92b9dae451ee6b7aba9b5f9c83675344bb61e4f9c3d76eb1f948463278d", "generator_version": "3.0"}
{"id": "v3_test_id_00004256", "prompt": "Evaluate: -403 / (-1) - 2", "solution_steps": ["Divide: -403 / (-1) = 403", "Subtract: 403 - 2 = 401"], "final_answer": "401", "answer_type": "integer", "kind": "expression", "math_text": "-403 / (-1) - 2", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -403, \"b\": -1, \"c\": 2}", "seed": "18180121844692376137", "semantic_fingerprint": "sha256:5c022bdf2c7511dfaab792bd409469c15c665bd9cb3c07b54b375ebbb4447794", "generator_version": "3.0"}
{"id": "v3_test_id_00004257", "prompt": "What value of x satisfies 12(x - 69) + 806 = -41?", "solution_steps": ["Expand: 12x - 828 + 806 = -41", "Combine constants: 12x - 22 = -41", "Add 22 to both sides: 12x = -19", "Divide both sides by 12: x = -19/12"], "final_answer": "-19/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 69) + 806 = -41", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 69, \"c\": 806, \"d\": -41}", "seed": "10490985004487384738", "semantic_fingerprint": "sha256:9719b910b193836e21b7225f1ec3677eb6d163cb59a3a45f4792c8653c3f7ecc", "generator_version": "3.0"}
{"id": "v3_test_id_00004258", "prompt": "Solve the equation x - 22 = 6(x + 8) for x.", "solution_steps": ["Expand: x - 22 = 6x + 48", "Subtract 6x from both sides: -5x - 22 = 48", "Add 22 to both sides: -5x = 70", "Divide both sides by -5: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 22 = 6(x + 8)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"d\": -22, \"x\": -14}", "seed": "8245868549705222979", "semantic_fingerprint": "sha256:bcb6492f3c0774d4169470355bfc24fa68150eabf1a06efecca3f62abb18198b", "generator_version": "3.0"}
{"id": "v3_test_id_00004259", "prompt": "Evaluate: 229 - (-143) - (-7 + 521)", "solution_steps": ["Subtract: 229 - (-143) = 372", "Add: -7 + 521 = 514", "Subtract: 372 - 514 = -142"], "final_answer": "-142", "answer_type": "integer", "kind": "expression", "math_text": "229 - (-143) - (-7 + 521)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 229, \"b\": -143, \"c\": -7, \"d\": 521}", "seed": "1651702300784269449", "semantic_fingerprint": "sha256:4463df499a993eae490cc2e1ead41961f59b381a20278f012e4b505f4a21951d", "generator_version": "3.0"}
{"id": "v3_test_id_00004260", "prompt": "Calculate: 79 + (0 - 83 * (-44))", "solution_steps": ["Multiply: 83 * (-44) = -3652", "Subtract: 0 - (-3652) = 3652", "Add: 79 + 3652 = 3731"], "final_answer": "3731", "answer_type": "integer", "kind": "expression", "math_text": "79 + (0 - 83 * (-44))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": 0, \"c\": 83, \"d\": -44}", "seed": "3052358830737673400", "semantic_fingerprint": "sha256:2faeb8df65ef9c596a365ec29c7eaacd84f66ee63391d11ffae5c30ea6ba11f5", "generator_version": "3.0"}
{"id": "v3_test_id_00004261", "prompt": "Compute: -94 / (96 + (-82) - 39 + 35) + (-19)", "solution_steps": ["Add: 96 + (-82) = 14", "Subtract: 14 - 39 = -25", "Add: -25 + 35 = 10", "Divide: -94 / 10 = -47/5", "Add: -47/5 + (-19) = -142/5"], "final_answer": "-142/5", "answer_type": "rational", "kind": "expression", "math_text": "-94 / (96 + (-82) - 39 + 35) + (-19)", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (+ (- (+ n n) n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": 96, \"c\": -82, \"d\": 39, \"e\": 35, \"f\": -19}", "seed": "15834336276550962789", "semantic_fingerprint": "sha256:50b8cf74373b401f02692e37a2d491cc04a2c730a1c97adb52e2daa69bce5688", "generator_version": "3.0"}
{"id": "v3_test_id_00004262", "prompt": "Solve the equation 11x - 29 = -5(x - 33) - 57 for x.", "solution_steps": ["Expand: 11x - 29 = -5x + 165 - 57", "Combine constants: 11x - 29 = -5x + 108", "Add 5x to both sides: 16x - 29 = 108", "Add 29 to both sides: 16x = 137", "Divide both sides by 16: x = 137/16"], "final_answer": "137/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x - 29 = -5(x - 33) - 57", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 29, \"c\": -5, \"d\": 33, \"e\": 57}", "seed": "2550149758012173044", "semantic_fingerprint": "sha256:bac9c2d3c1288559d9dd9ae43dbe4d3a9fc63ec066e12c842850376b3408fd07", "generator_version": "3.0"}
{"id": "v3_test_id_00004263", "prompt": "Solve for x: 7(x + 4) = 10x - 536", "solution_steps": ["Expand: 7x + 28 = 10x - 536", "Subtract 10x from both sides: -3x + 28 = -536", "Subtract 28 from both sides: -3x = -564", "Divide both sides by -3: x = 188"], "final_answer": "188", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 4) = 10x - 536", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 10, \"d\": 536}", "seed": "6857572690872905031", "semantic_fingerprint": "sha256:ba9d9638484fa5350469d1f4ee0c1cf45b3cd5c73a5f5b6a0047d11bbe612563", "generator_version": "3.0"}
{"id": "v3_test_id_00004264", "prompt": "Find x: 10(x - 9) = x - 180", "solution_steps": ["Expand: 10x - 90 = x - 180", "Subtract x from both sides: 9x - 90 = -180", "Add 90 to both sides: 9x = -90", "Divide both sides by 9: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 9) = x - 180", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 9, \"d\": -180, \"x\": -10}", "seed": "11442366525162118231", "semantic_fingerprint": "sha256:b582c2197b7d49a7f2ffbab7d451d2c734d2084c0f029cba9adf11ea3d707f33", "generator_version": "3.0"}
{"id": "v3_test_id_00004265", "prompt": "Solve the equation 11x = x + 30 for x.", "solution_steps": ["Subtract x from both sides: 10x = 30", "Divide both sides by 10: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = x + 30", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"c\": 30, \"x\": 3}", "seed": "12184685434563142974", "semantic_fingerprint": "sha256:0ba27c301c6aa6b0deddcf12826e87c8431a3e95ba5177e2dc8f2eb70c210fcc", "generator_version": "3.0"}
{"id": "v3_test_id_00004266", "prompt": "Compute: -554 / 47 + 7 / (89 - (-16))", "solution_steps": ["Divide: -554 / 47 = -554/47", "Subtract: 89 - (-16) = 105", "Divide: 7 / 105 = 1/15", "Add: -554/47 + 1/15 = -8263/705"], "final_answer": "-8263/705", "answer_type": "rational", "kind": "expression", "math_text": "-554 / 47 + 7 / (89 - (-16))", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -554, \"b\": 47, \"c\": 7, \"d\": 89, \"e\": -16}", "seed": "4389214494009859858", "semantic_fingerprint": "sha256:cccfc6877788343718695f9f42cb91e7124b72f65d6e49557b812cd6789defb9", "generator_version": "3.0"}
{"id": "v3_test_id_00004267", "prompt": "Calculate: 583 + 18", "solution_steps": ["Add: 583 + 18 = 601"], "final_answer": "601", "answer_type": "integer", "kind": "expression", "math_text": "583 + 18", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 583, \"b\": 18}", "seed": "7600204327894272291", "semantic_fingerprint": "sha256:92db47c9db65a6622ad15a7dd477abba248cb7f88383981db4d4c820cb861ffb", "generator_version": "3.0"}
{"id": "v3_test_id_00004268", "prompt": "Calculate: 5 + (-26 - (-868) * (-5))", "solution_steps": ["Multiply: -868 * (-5) = 4340", "Subtract: -26 - 4340 = -4366", "Add: 5 + (-4366) = -4361"], "final_answer": "-4361", "answer_type": "integer", "kind": "expression", "math_text": "5 + (-26 - (-868) * (-5))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -26, \"c\": -868, \"d\": -5}", "seed": "2283071097832088597", "semantic_fingerprint": "sha256:1481543bdadbae44522ebb3727c6e217859ad35a43ab239d9d49604520106f4e", "generator_version": "3.0"}
{"id": "v3_test_id_00004269", "prompt": "Compute: 5 - (-63 - (-61) - (794 + 93))", "solution_steps": ["Subtract: -63 - (-61) = -2", "Add: 794 + 93 = 887", "Subtract: -2 - 887 = -889", "Subtract: 5 - (-889) = 894"], "final_answer": "894", "answer_type": "integer", "kind": "expression", "math_text": "5 - (-63 - (-61) - (794 + 93))", "variable": null, "family": "expression_4op", "shape": "(- n (- (- n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -63, \"c\": -61, \"d\": 794, \"e\": 93}", "seed": "2554022643671594347", "semantic_fingerprint": "sha256:f62ef37f65d0cd5d89b846e94bc20424bbc85cb268bee7f6d9c9538117989839", "generator_version": "3.0"}
{"id": "v3_test_id_00004270", "prompt": "Evaluate: 6 * (-95) - 47", "solution_steps": ["Multiply: 6 * (-95) = -570", "Subtract: -570 - 47 = -617"], "final_answer": "-617", "answer_type": "integer", "kind": "expression", "math_text": "6 * (-95) - 47", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -95, \"c\": 47}", "seed": "1762169572249462777", "semantic_fingerprint": "sha256:8367daf98af860cca6e444796641301e3b296734c93dddbec19c92560b626682", "generator_version": "3.0"}
{"id": "v3_test_id_00004271", "prompt": "Find x: 3(x - 82) = 10(x + 36) - 466", "solution_steps": ["Expand: 3x - 246 = 10(x + 36) - 466", "Expand: 3x - 246 = 10x + 360 - 466", "Combine constants: 3x - 246 = 10x - 106", "Subtract 10x from both sides: -7x - 246 = -106", "Add 246 to both sides: -7x = 140", "Divide both sides by -7: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 82) = 10(x + 36) - 466", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 82, \"c\": 10, \"d\": 36, \"f\": -466, \"x\": -20}", "seed": "5439483833920844692", "semantic_fingerprint": "sha256:7f19ce73aa2a1f5aeb599eb1b70efe422b70d16621d24c6a127b0949776c5ae3", "generator_version": "3.0"}
{"id": "v3_test_id_00004272", "prompt": "Find x: 3(x - 4) = -3(x + 9)", "solution_steps": ["Expand: 3x - 12 = -3(x + 9)", "Expand: 3x - 12 = -3x - 27", "Add 3x to both sides: 6x - 12 = -27", "Add 12 to both sides: 6x = -15", "Divide both sides by 6: x = -5/2"], "final_answer": "-5/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 4) = -3(x + 9)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 4, \"c\": -3, \"d\": 9}", "seed": "879825839416206719", "semantic_fingerprint": "sha256:4ca301559d3647432b6c3d4acb93c7ec4a7b17faa91be53849d0d65828ef0861", "generator_version": "3.0"}
{"id": "v3_test_id_00004273", "prompt": "Evaluate: -33 - (-46)", "solution_steps": ["Subtract: -33 - (-46) = 13"], "final_answer": "13", "answer_type": "integer", "kind": "expression", "math_text": "-33 - (-46)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": -46}", "seed": "15317201047464239489", "semantic_fingerprint": "sha256:d0d150e6ec88cf22bfac0f732973543a1a0784018fe7490be08be3ae32526859", "generator_version": "3.0"}
{"id": "v3_test_id_00004274", "prompt": "Compute: 8 * 88 + 85 - 493", "solution_steps": ["Multiply: 8 * 88 = 704", "Add: 704 + 85 = 789", "Subtract: 789 - 493 = 296"], "final_answer": "296", "answer_type": "integer", "kind": "expression", "math_text": "8 * 88 + 85 - 493", "variable": null, "family": "expression_3op", "shape": "(- (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 88, \"c\": 85, \"d\": 493}", "seed": "1657109454108816948", "semantic_fingerprint": "sha256:1a0bbd7f09fa5341fb7cfd351f8fab74192e8c12e1c07ffbf5f044315e9dd8a0", "generator_version": "3.0"}
{"id": "v3_test_id_00004275", "prompt": "What is -2 / 4 + 66?", "solution_steps": ["Divide: -2 / 4 = -1/2", "Add: -1/2 + 66 = 131/2"], "final_answer": "131/2", "answer_type": "rational", "kind": "expression", "math_text": "-2 / 4 + 66", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 4, \"c\": 66}", "seed": "10315657964805998464", "semantic_fingerprint": "sha256:d29d1d4db973bda29f5ff4519183ffaa5c838f206b2741ce615be83f440533f8", "generator_version": "3.0"}
{"id": "v3_test_id_00004276", "prompt": "What value of x satisfies 12(x + 2) + 725 = 5x?", "solution_steps": ["Expand: 12x + 24 + 725 = 5x", "Combine constants: 12x + 749 = 5x", "Subtract 5x from both sides: 7x + 749 = 0", "Subtract 749 from both sides: 7x = -749", "Divide both sides by 7: x = -107"], "final_answer": "-107", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 2) + 725 = 5x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 725, \"d\": 5}", "seed": "14369724625887975784", "semantic_fingerprint": "sha256:35ed08f3f0393cd67f84155a94e8e492497518c4d3ea5b198f8b0a3f50a496e7", "generator_version": "3.0"}
{"id": "v3_test_id_00004277", "prompt": "Compute: -68 * 21 + 96 / (-56)", "solution_steps": ["Multiply: -68 * 21 = -1428", "Divide: 96 / (-56) = -12/7", "Add: -1428 + (-12/7) = -10008/7"], "final_answer": "-10008/7", "answer_type": "rational", "kind": "expression", "math_text": "-68 * 21 + 96 / (-56)", "variable": null, "family": "expression_3op", "shape": "(+ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": 21, \"c\": 96, \"d\": -56}", "seed": "13132397829092679277", "semantic_fingerprint": "sha256:63669804ea0407ec49f2b1bd5b5bcfe841d74a9011cac5365de39742f7d023e8", "generator_version": "3.0"}
{"id": "v3_test_id_00004278", "prompt": "Evaluate: (-63 + (-3) / (-25)) / (-46 * 9)", "solution_steps": ["Divide: -3 / (-25) = 3/25", "Add: -63 + 3/25 = -1572/25", "Multiply: -46 * 9 = -414", "Divide: (-1572/25) / (-414) = 262/1725"], "final_answer": "262/1725", "answer_type": "rational", "kind": "expression", "math_text": "(-63 + (-3) / (-25)) / (-46 * 9)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": -3, \"c\": -25, \"d\": -46, \"e\": 9}", "seed": "17416046650801880091", "semantic_fingerprint": "sha256:d9f2f697907d65c271eac54b8d831b5e22311ce0bdc09cdeb6374d6b8393e318", "generator_version": "3.0"}
{"id": "v3_test_id_00004279", "prompt": "Evaluate: 85 - 664 - (-6 + 456 + (-31))", "solution_steps": ["Subtract: 85 - 664 = -579", "Add: -6 + 456 = 450", "Add: 450 + (-31) = 419", "Subtract: -579 - 419 = -998"], "final_answer": "-998", "answer_type": "integer", "kind": "expression", "math_text": "85 - 664 - (-6 + 456 + (-31))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": 664, \"c\": -6, \"d\": 456, \"e\": -31}", "seed": "14371119099299446414", "semantic_fingerprint": "sha256:bcee91b7f9f80d663f0a1ae74bbe316a4c5e6692315ad9945bd3804bb0085ff8", "generator_version": "3.0"}
{"id": "v3_test_id_00004280", "prompt": "Solve the equation -3(x - 65) - 109 = 11(x + 32) for x.", "solution_steps": ["Expand: -3x + 195 - 109 = 11(x + 32)", "Expand: -3x + 195 - 109 = 11x + 352", "Combine constants: -3x + 86 = 11x + 352", "Subtract 11x from both sides: -14x + 86 = 352", "Subtract 86 from both sides: -14x = 266", "Divide both sides by -14: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 65) - 109 = 11(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\": 65, \"c\": 11, \"d\": 32, \"f\": -109, \"x\": -19}", "seed": "13911242572924958290", "semantic_fingerprint": "sha256:1a3169c71a116c8640dc0c27b2c9b9ec2bd4851ad7b286e41c40065a699ca3dd", "generator_version": "3.0"}
{"id": "v3_test_id_00004281", "prompt": "Compute: 479 + (-45 + (-614 - 6) + (2 - (-19)))", "solution_steps": ["Subtract: -614 - 6 = -620", "Add: -45 + (-620) = -665", "Subtract: 2 - (-19) = 21", "Add: -665 + 21 = -644", "Add: 479 + (-644) = -165"], "final_answer": "-165", "answer_type": "integer", "kind": "expression", "math_text": "479 + (-45 + (-614 - 6) + (2 - (-19)))", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (+ n (- n n)) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 479, \"b\": -45, \"c\": -614, \"d\": 6, \"e\": 2, \"f\": -19}", "seed": "17737878825669020762", "semantic_fingerprint": "sha256:fa84bb460d3278c333d9965e42379c7bc24bf443a2ae70c40ee29c83871c6f27", "generator_version": "3.0"}
{"id": "v3_test_id_00004282", "prompt": "What is (355 - 620) * (7 + 94)?", "solution_steps": ["Subtract: 355 - 620 = -265", "Add: 7 + 94 = 101", "Multiply: -265 * 101 = -26765"], "final_answer": "-26765", "answer_type": "integer", "kind": "expression", "math_text": "(355 - 620) * (7 + 94)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 355, \"b\": 620, \"c\": 7, \"d\": 94}", "seed": "14118211579937407789", "semantic_fingerprint": "sha256:a7cb7542a39a8dc35cbe7b13672c65b7c9f25ecf21649a401eb4dc98ce10e7ba", "generator_version": "3.0"}
{"id": "v3_test_id_00004283", "prompt": "Find x: 6x - 1 = 2(x + 67) - 207", "solution_steps": ["Expand: 6x - 1 = 2x + 134 - 207", "Combine constants: 6x - 1 = 2x - 73", "Subtract 2x from both sides: 4x - 1 = -73", "Add 1 to both sides: 4x = -72", "Divide both sides by 4: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 1 = 2(x + 67) - 207", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 1, \"c\": 2, \"d\": 67, \"f\": -207, \"x\": -18}", "seed": "4470589489327815391", "semantic_fingerprint": "sha256:88dd1589ea941c4138f4b8f11347fa464c212fc475da7b0f01152e474c47073d", "generator_version": "3.0"}
{"id": "v3_test_id_00004284", "prompt": "Evaluate: (0 - 8) / (-56 - 7)", "solution_steps": ["Subtract: 0 - 8 = -8", "Subtract: -56 - 7 = -63", "Divide: -8 / (-63) = 8/63"], "final_answer": "8/63", "answer_type": "rational", "kind": "expression", "math_text": "(0 - 8) / (-56 - 7)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 8, \"c\": -56, \"d\": 7}", "seed": "13032931573620296157", "semantic_fingerprint": "sha256:da183ffd2ae79fa5f0546fc3e207b57fb4d4b2e958a1b765cb2c483d29652de8", "generator_version": "3.0"}
{"id": "v3_test_id_00004285", "prompt": "Calculate: 983 / (-97) * (-99)", "solution_steps": ["Divide: 983 / (-97) = -983/97", "Multiply: (-983/97) * (-99) = 97317/97"], "final_answer": "97317/97", "answer_type": "rational", "kind": "expression", "math_text": "983 / (-97) * (-99)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 983, \"b\": -97, \"c\": -99}", "seed": "1842414155066450473", "semantic_fingerprint": "sha256:c56f4c41b537d7e3d1d0b64de64439fcd79161a6d4f4e5807269cbe7be6f4251", "generator_version": "3.0"}
{"id": "v3_test_id_00004286", "prompt": "Evaluate: 2 - 7 / ((34 - (-8)) * (983 - 49))", "solution_steps": ["Subtract: 34 - (-8) = 42", "Subtract: 983 - 49 = 934", "Multiply: 42 * 934 = 39228", "Divide: 7 / 39228 = 1/5604", "Subtract: 2 - 1/5604 = 11207/5604"], "final_answer": "11207/5604", "answer_type": "rational", "kind": "expression", "math_text": "2 - 7 / ((34 - (-8)) * (983 - 49))", "variable": null, "family": "expression_5op", "shape": "(- n (/ n (* (- n n) (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 7, \"c\": 34, \"d\": -8, \"e\": 983, \"f\": 49}", "seed": "6607121630812910881", "semantic_fingerprint": "sha256:bf934523ebaebaee306369a7fddebdb536c8063cbabc5a3a7bac6fe74bedf776", "generator_version": "3.0"}
{"id": "v3_test_id_00004287", "prompt": "Solve the equation 8(x + 907) = 2x - 62 for x.", "solution_steps": ["Expand: 8x + 7256 = 2x - 62", "Subtract 2x from both sides: 6x + 7256 = -62", "Subtract 7256 from both sides: 6x = -7318", "Divide both sides by 6: x = -3659/3"], "final_answer": "-3659/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 907) = 2x - 62", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 907, \"c\": 2, \"d\": 62}", "seed": "13132154805995946525", "semantic_fingerprint": "sha256:27b7084687800ad8fd6592fe6b1f634bc69bd9980f84597410b464e067a9a3f7", "generator_version": "3.0"}
{"id": "v3_test_id_00004288", "prompt": "Evaluate: 4 * (9 * (18 / (-21)) + 0)", "solution_steps": ["Divide: 18 / (-21) = -6/7", "Multiply: 9 * (-6/7) = -54/7", "Add: -54/7 + 0 = -54/7", "Multiply: 4 * (-54/7) = -216/7"], "final_answer": "-216/7", "answer_type": "rational", "kind": "expression", "math_text": "4 * (9 * (18 / (-21)) + 0)", "variable": null, "family": "expression_4op", "shape": "(* n (+ (* n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 18, \"d\": -21, \"e\": 0}", "seed": "15764249418848318320", "semantic_fingerprint": "sha256:f8b7ea6a9c21615540218ca6f9249891e50188b4dc298e1822c89c49aeeea685", "generator_version": "3.0"}
{"id": "v3_test_id_00004289", "prompt": "Evaluate: 6 - (-929)", "solution_steps": ["Subtract: 6 - (-929) = 935"], "final_answer": "935", "answer_type": "integer", "kind": "expression", "math_text": "6 - (-929)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -929}", "seed": "33201297380552116", "semantic_fingerprint": "sha256:66069eeeb81ccf0a54c918df776bf23fda472fd7f8210cf0ef501dc930433166", "generator_version": "3.0"}
{"id": "v3_test_id_00004290", "prompt": "Solve the equation 9x = 12(x - 8) for x.", "solution_steps": ["Expand: 9x = 12x - 96", "Subtract 12x from both sides: -3x = -96", "Divide both sides by -3: x = 32"], "final_answer": "32", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 12(x - 8)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 12, \"c\": 8}", "seed": "6253123099647294599", "semantic_fingerprint": "sha256:369477611da1c4e0fa1b59edbe44869d3e047eafe17a8294bd85adad93460d04", "generator_version": "3.0"}
{"id": "v3_test_id_00004291", "prompt": "Solve the equation 3(x - 74) = -4 for x.", "solution_steps": ["Expand: 3x - 222 = -4", "Add 222 to both sides: 3x = 218", "Divide both sides by 3: x = 218/3"], "final_answer": "218/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 74) = -4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 74, \"c\": -4}", "seed": "5181063094200925521", "semantic_fingerprint": "sha256:9a1cd0c12c592e7cb5cfb10945cc494ad446d1d2ef7bdfb17a1e4097e49b5a0c", "generator_version": "3.0"}
{"id": "v3_test_id_00004292", "prompt": "Find x: 9(x + 90) + 1 = -5x + 923", "solution_steps": ["Expand: 9x + 810 + 1 = -5x + 923", "Combine constants: 9x + 811 = -5x + 923", "Add 5x to both sides: 14x + 811 = 923", "Subtract 811 from both sides: 14x = 112", "Divide both sides by 14: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 90) + 1 = -5x + 923", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 90, \"c\": 1, \"d\": -5, \"f\": 923, \"x\": 8}", "seed": "7774627575756261663", "semantic_fingerprint": "sha256:d5bc1d959d9ea8f53f2ee38eecbfcfd44a76953434535a5459b1d696d9a2a9c3", "generator_version": "3.0"}
{"id": "v3_test_id_00004293", "prompt": "Solve the equation 8x + 305 = 9(x + 33) for x.", "solution_steps": ["Expand: 8x + 305 = 9x + 297", "Subtract 9x from both sides: -x + 305 = 297", "Subtract 305 from both sides: -x = -8", "Divide both sides by -1: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x + 305 = 9(x + 33)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": 33, \"e\": 305, \"x\": 8}", "seed": "8534278133966977156", "semantic_fingerprint": "sha256:2eab7098b9f09b4cbb2635d582774ea98b94d72ce492013e9bf169eca19b9564", "generator_version": "3.0"}
{"id": "v3_test_id_00004294", "prompt": "What value of x satisfies 11(x + 2) - 8 = 3(x + 47)?", "solution_steps": ["Expand: 11x + 22 - 8 = 3(x + 47)", "Expand: 11x + 22 - 8 = 3x + 141", "Combine constants: 11x + 14 = 3x + 141", "Subtract 3x from both sides: 8x + 14 = 141", "Subtract 14 from both sides: 8x = 127", "Divide both sides by 8: x = 127/8"], "final_answer": "127/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 2) - 8 = 3(x + 47)", "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\": 8, \"d\": 3, \"e\": 47}", "seed": "8921888903976462805", "semantic_fingerprint": "sha256:bd8519f94d5d58556cc8056cab94ddfc3c07efba9be9e54adf0167246d1e786c", "generator_version": "3.0"}
{"id": "v3_test_id_00004295", "prompt": "What is -829 / (-74) - (-5) + 2?", "solution_steps": ["Divide: -829 / (-74) = 829/74", "Subtract: 829/74 - (-5) = 1199/74", "Add: 1199/74 + 2 = 1347/74"], "final_answer": "1347/74", "answer_type": "rational", "kind": "expression", "math_text": "-829 / (-74) - (-5) + 2", "variable": null, "family": "expression_3op", "shape": "(+ (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -829, \"b\": -74, \"c\": -5, \"d\": 2}", "seed": "780855419639322863", "semantic_fingerprint": "sha256:012869b13a2d420f929431caca931706bfbb2f26321206b1bdf7cf6f065fc3af", "generator_version": "3.0"}
{"id": "v3_test_id_00004296", "prompt": "Evaluate: 22 - (-2) - (-6 - 417 + 0 / (-454))", "solution_steps": ["Subtract: 22 - (-2) = 24", "Subtract: -6 - 417 = -423", "Divide: 0 / (-454) = 0", "Add: -423 + 0 = -423", "Subtract: 24 - (-423) = 447"], "final_answer": "447", "answer_type": "integer", "kind": "expression", "math_text": "22 - (-2) - (-6 - 417 + 0 / (-454))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (+ (- n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": -2, \"c\": -6, \"d\": 417, \"e\": 0, \"f\": -454}", "seed": "9432047137825198427", "semantic_fingerprint": "sha256:1247e46acd04d75d06ac8d1431e2bc67a77dc6b1a3ba383666fd4947115c2928", "generator_version": "3.0"}
{"id": "v3_test_id_00004297", "prompt": "Calculate: 3 + (93 + (-40))", "solution_steps": ["Add: 93 + (-40) = 53", "Add: 3 + 53 = 56"], "final_answer": "56", "answer_type": "integer", "kind": "expression", "math_text": "3 + (93 + (-40))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 93, \"c\": -40}", "seed": "9652863970138209804", "semantic_fingerprint": "sha256:c7e3033ab2250562f8d34867abd849982bce2a40bdbc98b23768b9e0bae7e460", "generator_version": "3.0"}
{"id": "v3_test_id_00004298", "prompt": "Calculate: 7 - (-69) / (-4)", "solution_steps": ["Divide: -69 / (-4) = 69/4", "Subtract: 7 - 69/4 = -41/4"], "final_answer": "-41/4", "answer_type": "rational", "kind": "expression", "math_text": "7 - (-69) / (-4)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -69, \"c\": -4}", "seed": "12076414736003573903", "semantic_fingerprint": "sha256:75e3829f480a9f48e4e8f1aa32dbbc88b53270ccd3848aeeffde567d66adc351", "generator_version": "3.0"}
{"id": "v3_test_id_00004299", "prompt": "Calculate: -43 * (-423) + (-624 + 6) * 492", "solution_steps": ["Multiply: -43 * (-423) = 18189", "Add: -624 + 6 = -618", "Multiply: -618 * 492 = -304056", "Add: 18189 + (-304056) = -285867"], "final_answer": "-285867", "answer_type": "integer", "kind": "expression", "math_text": "-43 * (-423) + (-624 + 6) * 492", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": -423, \"c\": -624, \"d\": 6, \"e\": 492}", "seed": "2663914469970867590", "semantic_fingerprint": "sha256:2eec3b56b7c94748a6adde969527f9a7b154b4154d2be65bfc9aa0ceaa4e07f1", "generator_version": "3.0"}
{"id": "v3_test_id_00004300", "prompt": "Find x: -8(x - 60) + 25 = x + 388", "solution_steps": ["Expand: -8x + 480 + 25 = x + 388", "Combine constants: -8x + 505 = x + 388", "Subtract x from both sides: -9x + 505 = 388", "Subtract 505 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 - 60) + 25 = x + 388", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 60, \"c\": 25, \"e\": 388, \"x\": 13}", "seed": "9696342919099226041", "semantic_fingerprint": "sha256:47d88e0447b32a201120ea9d9dda6ec9bd904112a9c3dcfa0f42bc20003314af", "generator_version": "3.0"}
{"id": "v3_test_id_00004301", "prompt": "Evaluate: 885 + (-55) + (-14 - (-3 + (-850)))", "solution_steps": ["Add: 885 + (-55) = 830", "Add: -3 + (-850) = -853", "Subtract: -14 - (-853) = 839", "Add: 830 + 839 = 1669"], "final_answer": "1669", "answer_type": "integer", "kind": "expression", "math_text": "885 + (-55) + (-14 - (-3 + (-850)))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 885, \"b\": -55, \"c\": -14, \"d\": -3, \"e\": -850}", "seed": "3478568544390699104", "semantic_fingerprint": "sha256:5e28c3cf30c9ebd6cda6b6206c8dbeab024d31fe3ffdf3cb314634a0c509f5bf", "generator_version": "3.0"}
{"id": "v3_test_id_00004302", "prompt": "What is 46 + (-6 - (-80) * (-79))?", "solution_steps": ["Multiply: -80 * (-79) = 6320", "Subtract: -6 - 6320 = -6326", "Add: 46 + (-6326) = -6280"], "final_answer": "-6280", "answer_type": "integer", "kind": "expression", "math_text": "46 + (-6 - (-80) * (-79))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": -6, \"c\": -80, \"d\": -79}", "seed": "13830380874941224139", "semantic_fingerprint": "sha256:1002d3380033999b412d63f9095ae1efbdd27bb0781278c9c60270d103885a8c", "generator_version": "3.0"}
{"id": "v3_test_id_00004303", "prompt": "Evaluate: 558 / (53 - (-6 + 307))", "solution_steps": ["Add: -6 + 307 = 301", "Subtract: 53 - 301 = -248", "Divide: 558 / (-248) = -9/4"], "final_answer": "-9/4", "answer_type": "rational", "kind": "expression", "math_text": "558 / (53 - (-6 + 307))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 558, \"b\": 53, \"c\": -6, \"d\": 307}", "seed": "10523188748067747404", "semantic_fingerprint": "sha256:fea3af9132dbacc6de8cb25db8a2aae938e9891a8401428ebfcdd4bee992cc24", "generator_version": "3.0"}
{"id": "v3_test_id_00004304", "prompt": "What is 9 / (-77) - 71?", "solution_steps": ["Divide: 9 / (-77) = -9/77", "Subtract: -9/77 - 71 = -5476/77"], "final_answer": "-5476/77", "answer_type": "rational", "kind": "expression", "math_text": "9 / (-77) - 71", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -77, \"c\": 71}", "seed": "7127208054489904340", "semantic_fingerprint": "sha256:20faa021800b3944571ef71556982f27208ee6f5fa65b34d2f37402acf57c927", "generator_version": "3.0"}
{"id": "v3_test_id_00004305", "prompt": "Evaluate: -5 / (8 + (93 - 51 - 47))", "solution_steps": ["Subtract: 93 - 51 = 42", "Subtract: 42 - 47 = -5", "Add: 8 + (-5) = 3", "Divide: -5 / 3 = -5/3"], "final_answer": "-5/3", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (8 + (93 - 51 - 47))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ n (- (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 8, \"c\": 93, \"d\": 51, \"e\": 47}", "seed": "14893655801360923858", "semantic_fingerprint": "sha256:78615c72ba5a01003daaaf071b0e061e8c5057c77d0134d346617baf74695343", "generator_version": "3.0"}
{"id": "v3_test_id_00004306", "prompt": "What is (74 + (-6) * (-72)) / (-7)?", "solution_steps": ["Multiply: -6 * (-72) = 432", "Add: 74 + 432 = 506", "Divide: 506 / (-7) = -506/7"], "final_answer": "-506/7", "answer_type": "rational", "kind": "expression", "math_text": "(74 + (-6) * (-72)) / (-7)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": -6, \"c\": -72, \"d\": -7}", "seed": "384684429829962569", "semantic_fingerprint": "sha256:3c48d8733d0e66ff3662417fada59bc1e5f770b2e9366a587528bf576d0ad5fa", "generator_version": "3.0"}
{"id": "v3_test_id_00004307", "prompt": "Solve the equation 11x + 9 = x - 81 for x.", "solution_steps": ["Subtract x from both sides: 10x + 9 = -81", "Subtract 9 from both sides: 10x = -90", "Divide both sides by 10: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 9 = x - 81", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 9, \"d\": -81, \"x\": -9}", "seed": "459753611764620388", "semantic_fingerprint": "sha256:0c979e2508174b5db8f0e7828cba32d23afeae87e7615b34a24f3711c4c5b067", "generator_version": "3.0"}
{"id": "v3_test_id_00004308", "prompt": "Solve for x: 8(x + 90) + 72 = 2x + 906", "solution_steps": ["Expand: 8x + 720 + 72 = 2x + 906", "Combine constants: 8x + 792 = 2x + 906", "Subtract 2x from both sides: 6x + 792 = 906", "Subtract 792 from both sides: 6x = 114", "Divide both sides by 6: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 90) + 72 = 2x + 906", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 90, \"c\": 72, \"d\": 2, \"f\": 906, \"x\": 19}", "seed": "3124209669235310549", "semantic_fingerprint": "sha256:f2d12f8f627118222830b67c11d456fed439f655e670d5e1f8f44b7708fe6e9e", "generator_version": "3.0"}
{"id": "v3_test_id_00004309", "prompt": "Compute: -24 * (91 / (-337))", "solution_steps": ["Divide: 91 / (-337) = -91/337", "Multiply: -24 * (-91/337) = 2184/337"], "final_answer": "2184/337", "answer_type": "rational", "kind": "expression", "math_text": "-24 * (91 / (-337))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": 91, \"c\": -337}", "seed": "6424532900895118778", "semantic_fingerprint": "sha256:89a1bfed23905e5903f4fd2c18c140edf2b8997f2a61c1ef5b457d0cbf810ddc", "generator_version": "3.0"}
{"id": "v3_test_id_00004310", "prompt": "What value of x satisfies x - 948 = -5?", "solution_steps": ["Add 948 to both sides: x = 943"], "final_answer": "943", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 948 = -5", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 948, \"b\": -5}", "seed": "5604205237007423012", "semantic_fingerprint": "sha256:3be8e405ff641dc50b07ac74b93f2758401c950eda0f75d1982123c31aa36f65", "generator_version": "3.0"}
{"id": "v3_test_id_00004311", "prompt": "Compute: 1 * (85 * (-48) / (-5) * 117 - (-71))", "solution_steps": ["Multiply: 85 * (-48) = -4080", "Divide: -4080 / (-5) = 816", "Multiply: 816 * 117 = 95472", "Subtract: 95472 - (-71) = 95543", "Multiply: 1 * 95543 = 95543"], "final_answer": "95543", "answer_type": "integer", "kind": "expression", "math_text": "1 * (85 * (-48) / (-5) * 117 - (-71))", "variable": null, "family": "expression_5op", "shape": "(* n (- (* (/ (* n n) n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 85, \"c\": -48, \"d\": -5, \"e\": 117, \"f\": -71}", "seed": "6206130737827356869", "semantic_fingerprint": "sha256:ac769930c2ea7e9afd5c5cb8e374c94679848e91356c02f7f95c4b1d5677131f", "generator_version": "3.0"}
{"id": "v3_test_id_00004312", "prompt": "What is -8 + (-727) * (-7 / 33) - (288 + (-92))?", "solution_steps": ["Divide: -7 / 33 = -7/33", "Multiply: -727 * (-7/33) = 5089/33", "Add: -8 + 5089/33 = 4825/33", "Add: 288 + (-92) = 196", "Subtract: 4825/33 - 196 = -1643/33"], "final_answer": "-1643/33", "answer_type": "rational", "kind": "expression", "math_text": "-8 + (-727) * (-7 / 33) - (288 + (-92))", "variable": null, "family": "expression_5op", "shape": "(- (+ n (* n (/ n n))) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -727, \"c\": -7, \"d\": 33, \"e\": 288, \"f\": -92}", "seed": "17583727722734279493", "semantic_fingerprint": "sha256:c10f69a26bfc0642cdbfe7735d0614f1a2663f51ad159111ae8f0e3565593d7d", "generator_version": "3.0"}
{"id": "v3_test_id_00004313", "prompt": "What is -6 * (-40 * (-516))?", "solution_steps": ["Multiply: -40 * (-516) = 20640", "Multiply: -6 * 20640 = -123840"], "final_answer": "-123840", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-40 * (-516))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -40, \"c\": -516}", "seed": "5911338084341260587", "semantic_fingerprint": "sha256:67f5a39c330443ed16bc54e3b6c51948fac1ae7b1c34ad69e5d89253edc7c571", "generator_version": "3.0"}
{"id": "v3_test_id_00004314", "prompt": "Compute: (0 - (-45)) * 9", "solution_steps": ["Subtract: 0 - (-45) = 45", "Multiply: 45 * 9 = 405"], "final_answer": "405", "answer_type": "integer", "kind": "expression", "math_text": "(0 - (-45)) * 9", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -45, \"c\": 9}", "seed": "18362634424734949594", "semantic_fingerprint": "sha256:fe8a286c8c467768cc204486ee4827193963cd446fcf168febf2999714c49106", "generator_version": "3.0"}
{"id": "v3_test_id_00004315", "prompt": "Find x: -2(x + 7) - 175 = -9(x + 21)", "solution_steps": ["Expand: -2x - 14 - 175 = -9(x + 21)", "Expand: -2x - 14 - 175 = -9x - 189", "Combine constants: -2x - 189 = -9x - 189", "Add 9x to both sides: 7x - 189 = -189", "Add 189 to both sides: 7x = 0", "Divide both sides by 7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 7) - 175 = -9(x + 21)", "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\": -9, \"d\": 21, \"f\": -175, \"x\": 0}", "seed": "6399885022873018372", "semantic_fingerprint": "sha256:553b918afe0d5e2c703d7b367c1a1f046ff920ee27cf28faedbc4bf1db71c7d2", "generator_version": "3.0"}
{"id": "v3_test_id_00004316", "prompt": "What is (99 - 70) / 1?", "solution_steps": ["Subtract: 99 - 70 = 29", "Divide: 29 / 1 = 29"], "final_answer": "29", "answer_type": "integer", "kind": "expression", "math_text": "(99 - 70) / 1", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": 70, \"c\": 1}", "seed": "3360754257680771901", "semantic_fingerprint": "sha256:796f538f88fd60b660e7a3679201822fe93733fd0b9bdadf962b7afb24ed0cbb", "generator_version": "3.0"}
{"id": "v3_test_id_00004317", "prompt": "Evaluate: 48 * (55 / 94) + (-24)", "solution_steps": ["Divide: 55 / 94 = 55/94", "Multiply: 48 * (55/94) = 1320/47", "Add: 1320/47 + (-24) = 192/47"], "final_answer": "192/47", "answer_type": "rational", "kind": "expression", "math_text": "48 * (55 / 94) + (-24)", "variable": null, "family": "expression_3op", "shape": "(+ (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": 55, \"c\": 94, \"d\": -24}", "seed": "4640932392811160636", "semantic_fingerprint": "sha256:e306c1b5cce84b2a92183c17cf464207902b658a8d6b7fb4362a867ad3d66293", "generator_version": "3.0"}
{"id": "v3_test_id_00004318", "prompt": "Evaluate: -137 - (-8) + (-4) + (-442)", "solution_steps": ["Subtract: -137 - (-8) = -129", "Add: -129 + (-4) = -133", "Add: -133 + (-442) = -575"], "final_answer": "-575", "answer_type": "integer", "kind": "expression", "math_text": "-137 - (-8) + (-4) + (-442)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -137, \"b\": -8, \"c\": -4, \"d\": -442}", "seed": "1874697237883907009", "semantic_fingerprint": "sha256:41d153a5c2251a0e201e78ba61ea638e11003f153d6a62876fd198bf96675efb", "generator_version": "3.0"}
{"id": "v3_test_id_00004319", "prompt": "Calculate: -98 - (2 - (-308))", "solution_steps": ["Subtract: 2 - (-308) = 310", "Subtract: -98 - 310 = -408"], "final_answer": "-408", "answer_type": "integer", "kind": "expression", "math_text": "-98 - (2 - (-308))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -98, \"b\": 2, \"c\": -308}", "seed": "6785724702161125564", "semantic_fingerprint": "sha256:15e25f48c8213d0a8533123b9b35b6ef41b64f7a0bfab540b6d639201e4a7635", "generator_version": "3.0"}
{"id": "v3_test_id_00004320", "prompt": "Evaluate: -47 / 60", "solution_steps": ["Divide: -47 / 60 = -47/60"], "final_answer": "-47/60", "answer_type": "rational", "kind": "expression", "math_text": "-47 / 60", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": 60}", "seed": "17407349366451302980", "semantic_fingerprint": "sha256:3f225452c8be73be6c9f92b3778ad6e138d1b91df8c412eb6b79f389c9ef4fa2", "generator_version": "3.0"}
{"id": "v3_test_id_00004321", "prompt": "Solve for x: x + 69 = 11x - 7", "solution_steps": ["Subtract 11x from both sides: -10x + 69 = -7", "Subtract 69 from both sides: -10x = -76", "Divide both sides by -10: x = 38/5"], "final_answer": "38/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 69 = 11x - 7", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": 11, \"c\": 7}", "seed": "8312872074058063823", "semantic_fingerprint": "sha256:1be0caccea2d58bd723badfbd5126f9c1d45b3962b7f8aee9b3b7cd90aefa827", "generator_version": "3.0"}
{"id": "v3_test_id_00004322", "prompt": "What value of x satisfies 11(x + 3) + 1 = 7(x + 4) + 78?", "solution_steps": ["Expand: 11x + 33 + 1 = 7(x + 4) + 78", "Expand: 11x + 33 + 1 = 7x + 28 + 78", "Combine constants: 11x + 34 = 7x + 28 + 78", "Combine constants: 11x + 34 = 7x + 106", "Subtract 7x from both sides: 4x + 34 = 106", "Subtract 34 from both sides: 4x = 72", "Divide both sides by 4: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 3) + 1 = 7(x + 4) + 78", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 3, \"c\": 1, \"d\": 7, \"e\": 4, \"g\": 78, \"x\": 18}", "seed": "18223198347273719202", "semantic_fingerprint": "sha256:895a8a113cb76377fd3dd99aebd7ee8a7626ff057a6213cf6489ea63e7946776", "generator_version": "3.0"}
{"id": "v3_test_id_00004323", "prompt": "Compute: 57 * (-8 - (-72))", "solution_steps": ["Subtract: -8 - (-72) = 64", "Multiply: 57 * 64 = 3648"], "final_answer": "3648", "answer_type": "integer", "kind": "expression", "math_text": "57 * (-8 - (-72))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": -8, \"c\": -72}", "seed": "544399086995031293", "semantic_fingerprint": "sha256:ad0dcb2c024149a23ba27e5a611504aadeb0960d86fc2e7f01d0985f6bec948a", "generator_version": "3.0"}
{"id": "v3_test_id_00004324", "prompt": "What is -603 * 442 * 0?", "solution_steps": ["Multiply: -603 * 442 = -266526", "Multiply: -266526 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-603 * 442 * 0", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -603, \"b\": 442, \"c\": 0}", "seed": "10519553970325459775", "semantic_fingerprint": "sha256:372576ab1fd08cd1128cdf7729312071ff03430f28909ef9782ca735911650c1", "generator_version": "3.0"}
{"id": "v3_test_id_00004325", "prompt": "What is 44 / (23 * (4 / (-36)))?", "solution_steps": ["Divide: 4 / (-36) = -1/9", "Multiply: 23 * (-1/9) = -23/9", "Divide: 44 / (-23/9) = -396/23"], "final_answer": "-396/23", "answer_type": "rational", "kind": "expression", "math_text": "44 / (23 * (4 / (-36)))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": 23, \"c\": 4, \"d\": -36}", "seed": "15549406329962868722", "semantic_fingerprint": "sha256:eb27805f45935ce15da6b173972fc1b7541936d8c1a2387de0a78586dc9ad8e6", "generator_version": "3.0"}
{"id": "v3_test_id_00004326", "prompt": "What is -32 / (4 * (-27 / 20)) * 113?", "solution_steps": ["Divide: -27 / 20 = -27/20", "Multiply: 4 * (-27/20) = -27/5", "Divide: -32 / (-27/5) = 160/27", "Multiply: (160/27) * 113 = 18080/27"], "final_answer": "18080/27", "answer_type": "rational", "kind": "expression", "math_text": "-32 / (4 * (-27 / 20)) * 113", "variable": null, "family": "expression_4op", "shape": "(* (/ n (* n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": 4, \"c\": -27, \"d\": 20, \"e\": 113}", "seed": "10489028150623913022", "semantic_fingerprint": "sha256:5e7a4eb25b16d5243b17ec64e368f44d771443a84176c4dd34e5e0244c533ec7", "generator_version": "3.0"}
{"id": "v3_test_id_00004327", "prompt": "Solve for x: 10x - 90 = 3(x - 45) - 60", "solution_steps": ["Expand: 10x - 90 = 3x - 135 - 60", "Combine constants: 10x - 90 = 3x - 195", "Subtract 3x from both sides: 7x - 90 = -195", "Add 90 to both sides: 7x = -105", "Divide both sides by 7: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 90 = 3(x - 45) - 60", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 90, \"c\": 3, \"d\": 45, \"f\": -60, \"x\": -15}", "seed": "11891100471371709669", "semantic_fingerprint": "sha256:a31d044867a7f85b4965d1eded6c1f2f83f07d9663018b3c12408cae409c9c7a", "generator_version": "3.0"}
{"id": "v3_test_id_00004328", "prompt": "Compute: 4 * (11 + (-24) / 8)", "solution_steps": ["Divide: -24 / 8 = -3", "Add: 11 + (-3) = 8", "Multiply: 4 * 8 = 32"], "final_answer": "32", "answer_type": "integer", "kind": "expression", "math_text": "4 * (11 + (-24) / 8)", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 11, \"c\": -24, \"d\": 8}", "seed": "12836863524449880671", "semantic_fingerprint": "sha256:e37c22c0b00b40a7e787bbf92175f87a3503aea2367d5b19eae8351a4410c853", "generator_version": "3.0"}
{"id": "v3_test_id_00004329", "prompt": "Solve for x: 9x - 190 = x - 222", "solution_steps": ["Subtract x from both sides: 8x - 190 = -222", "Add 190 to both sides: 8x = -32", "Divide both sides by 8: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 190 = x - 222", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 190, \"d\": -222, \"x\": -4}", "seed": "12504967039216891084", "semantic_fingerprint": "sha256:4fe749a829d1e12507cb34a553cc5ed88dacfab118d279149f723d23489fde1f", "generator_version": "3.0"}
{"id": "v3_test_id_00004330", "prompt": "What value of x satisfies -3x + 8 = -11(x - 79)?", "solution_steps": ["Expand: -3x + 8 = -11x + 869", "Add 11x to both sides: 8x + 8 = 869", "Subtract 8 from both sides: 8x = 861", "Divide both sides by 8: x = 861/8"], "final_answer": "861/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3x + 8 = -11(x - 79)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 8, \"c\": -11, \"d\": 79}", "seed": "2210403820427820531", "semantic_fingerprint": "sha256:1885f37054d6172143bd460c6ec84592c907fdfc04c50233b5a389ecb14a9a2f", "generator_version": "3.0"}
{"id": "v3_test_id_00004331", "prompt": "Compute: -29 * 2 * 5", "solution_steps": ["Multiply: -29 * 2 = -58", "Multiply: -58 * 5 = -290"], "final_answer": "-290", "answer_type": "integer", "kind": "expression", "math_text": "-29 * 2 * 5", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": 2, \"c\": 5}", "seed": "6716864101269830103", "semantic_fingerprint": "sha256:8acc68345b5736cfc0a1a73c18f60c8e12db29326b2dc97db6368e3b1c3459c7", "generator_version": "3.0"}
{"id": "v3_test_id_00004332", "prompt": "Evaluate: 9 / ((-281 - (-80)) / 136)", "solution_steps": ["Subtract: -281 - (-80) = -201", "Divide: -201 / 136 = -201/136", "Divide: 9 / (-201/136) = -408/67"], "final_answer": "-408/67", "answer_type": "rational", "kind": "expression", "math_text": "9 / ((-281 - (-80)) / 136)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -281, \"c\": -80, \"d\": 136}", "seed": "6941968242840422215", "semantic_fingerprint": "sha256:16f278ab8a0e5a008778e0c0dfbecd6e6a7dc4cc3d6ce4cf2455216a957e4fd0", "generator_version": "3.0"}
{"id": "v3_test_id_00004333", "prompt": "Compute: 2 * (-4)", "solution_steps": ["Multiply: 2 * (-4) = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "expression", "math_text": "2 * (-4)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -4}", "seed": "15630454878951587173", "semantic_fingerprint": "sha256:015f47b76bda978589dd3dea1865dd2812526975210d1212260e72bddbabe53e", "generator_version": "3.0"}
{"id": "v3_test_id_00004334", "prompt": "Calculate: -6 * (-2) * (-93 * 0)", "solution_steps": ["Multiply: -6 * (-2) = 12", "Multiply: -93 * 0 = 0", "Multiply: 12 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-2) * (-93 * 0)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -2, \"c\": -93, \"d\": 0}", "seed": "5406152992093874238", "semantic_fingerprint": "sha256:cd21d71b7a5e6e346f2c0440615185f37b10cd6446083d988cd6c9b475ae696a", "generator_version": "3.0"}
{"id": "v3_test_id_00004335", "prompt": "Find x: x - 67 = -3(x + 9)", "solution_steps": ["Expand: x - 67 = -3x - 27", "Add 3x to both sides: 4x - 67 = -27", "Add 67 to both sides: 4x = 40", "Divide both sides by 4: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 67 = -3(x + 9)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 9, \"d\": -67, \"x\": 10}", "seed": "14667948801769103047", "semantic_fingerprint": "sha256:da15f381589d9fd9fc069922f953c9473964fb60aa8d8c134b89b0611677226b", "generator_version": "3.0"}
{"id": "v3_test_id_00004336", "prompt": "Compute: -69 * (-6)", "solution_steps": ["Multiply: -69 * (-6) = 414"], "final_answer": "414", "answer_type": "integer", "kind": "expression", "math_text": "-69 * (-6)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": -6}", "seed": "1938314881514342219", "semantic_fingerprint": "sha256:0ff52c39c764e58cc43fcd0a83b99b79327e81348b4bcbda7c666af6b6ab75fd", "generator_version": "3.0"}
{"id": "v3_test_id_00004337", "prompt": "What value of x satisfies -11x = 12x - 829?", "solution_steps": ["Subtract 12x from both sides: -23x = -829", "Divide both sides by -23: x = 829/23"], "final_answer": "829/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11x = 12x - 829", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 12, \"c\": 829}", "seed": "15295466393880446437", "semantic_fingerprint": "sha256:4b7421b2a0bdbae3eb1f11774af1385e5c410eb55bfe451f552b663f333cfbce", "generator_version": "3.0"}
{"id": "v3_test_id_00004338", "prompt": "Calculate: (-378 + 556 + 7) / (-74 - 95) - (-6)", "solution_steps": ["Add: -378 + 556 = 178", "Add: 178 + 7 = 185", "Subtract: -74 - 95 = -169", "Divide: 185 / (-169) = -185/169", "Subtract: -185/169 - (-6) = 829/169"], "final_answer": "829/169", "answer_type": "rational", "kind": "expression", "math_text": "(-378 + 556 + 7) / (-74 - 95) - (-6)", "variable": null, "family": "expression_5op", "shape": "(- (/ (+ (+ n n) n) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -378, \"b\": 556, \"c\": 7, \"d\": -74, \"e\": 95, \"f\": -6}", "seed": "4506245310211203038", "semantic_fingerprint": "sha256:14bdf18af6274fc27109cf98686917fe4ad16dc21f2643901332fcef4836edcb", "generator_version": "3.0"}
{"id": "v3_test_id_00004339", "prompt": "Find x: 10x + 8 = 48", "solution_steps": ["Subtract 8 from both sides: 10x = 40", "Divide both sides by 10: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x + 8 = 48", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 8, \"d\": 48, \"x\": 4}", "seed": "3015172251293112979", "semantic_fingerprint": "sha256:75ec815ec819528eb911d80497aaa0fd0ed14d35b298f3561b51b6e53228809b", "generator_version": "3.0"}
{"id": "v3_test_id_00004340", "prompt": "Evaluate: 83 / (-840)", "solution_steps": ["Divide: 83 / (-840) = -83/840"], "final_answer": "-83/840", "answer_type": "rational", "kind": "expression", "math_text": "83 / (-840)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": -840}", "seed": "5929841755635097497", "semantic_fingerprint": "sha256:503597f016df44d9de4ccd693e70e823e7c5d3424b5e62c53c19e6d82dc6215d", "generator_version": "3.0"}
{"id": "v3_test_id_00004341", "prompt": "Solve the equation x = -10(x - 177) - 406 for x.", "solution_steps": ["Expand: x = -10x + 1770 - 406", "Combine constants: x = -10x + 1364", "Add 10x to both sides: 11x = 1364", "Divide both sides by 11: x = 124"], "final_answer": "124", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -10(x - 177) - 406", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 177, \"c\": 406}", "seed": "1915317907994730965", "semantic_fingerprint": "sha256:a6afb27958d3df43f278c24a3385f950877880bae8173754d1b4239b74e0aac5", "generator_version": "3.0"}
{"id": "v3_test_id_00004342", "prompt": "What is 0 - 1 - (65 + (74 - 915))?", "solution_steps": ["Subtract: 0 - 1 = -1", "Subtract: 74 - 915 = -841", "Add: 65 + (-841) = -776", "Subtract: -1 - (-776) = 775"], "final_answer": "775", "answer_type": "integer", "kind": "expression", "math_text": "0 - 1 - (65 + (74 - 915))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 1, \"c\": 65, \"d\": 74, \"e\": 915}", "seed": "12008461710330214768", "semantic_fingerprint": "sha256:20bfe5d28ae7d6466b16eb7c1811731a1e5f13ef1bd0b867d21efabd92cb4d5b", "generator_version": "3.0"}
{"id": "v3_test_id_00004343", "prompt": "Evaluate: -1 / 88", "solution_steps": ["Divide: -1 / 88 = -1/88"], "final_answer": "-1/88", "answer_type": "rational", "kind": "expression", "math_text": "-1 / 88", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 88}", "seed": "16244884115460195742", "semantic_fingerprint": "sha256:08c330322e8b678b9d46b88ea9cc08d27f956d806cc8b74f698caa6793d728cd", "generator_version": "3.0"}
{"id": "v3_test_id_00004344", "prompt": "Calculate: 519 - (-89) * 14", "solution_steps": ["Multiply: -89 * 14 = -1246", "Subtract: 519 - (-1246) = 1765"], "final_answer": "1765", "answer_type": "integer", "kind": "expression", "math_text": "519 - (-89) * 14", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 519, \"b\": -89, \"c\": 14}", "seed": "16263735310817442337", "semantic_fingerprint": "sha256:651a7731cf00e2c544f39e8e621c506d15b3eec6264b601196ed8e0be5c5d2fd", "generator_version": "3.0"}
{"id": "v3_test_id_00004345", "prompt": "Calculate: -70 / 71 + (-59 - (-4))", "solution_steps": ["Divide: -70 / 71 = -70/71", "Subtract: -59 - (-4) = -55", "Add: -70/71 + (-55) = -3975/71"], "final_answer": "-3975/71", "answer_type": "rational", "kind": "expression", "math_text": "-70 / 71 + (-59 - (-4))", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": 71, \"c\": -59, \"d\": -4}", "seed": "11174872536075436783", "semantic_fingerprint": "sha256:28918a73b2c50d8e6a20fa2f9c2df8a9bc6ec2de780e04b134260a7bac517ae5", "generator_version": "3.0"}
{"id": "v3_test_id_00004346", "prompt": "Solve the equation -5(x + 388) = x for x.", "solution_steps": ["Expand: -5x - 1940 = x", "Subtract x from both sides: -6x - 1940 = 0", "Add 1940 to both sides: -6x = 1940", "Divide both sides by -6: x = -970/3"], "final_answer": "-970/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x + 388) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 388}", "seed": "1933163249617747641", "semantic_fingerprint": "sha256:257a4a3b23ede9badebfa4321da3871652d51b5f0ceb2864b9802cb938f90cc4", "generator_version": "3.0"}
{"id": "v3_test_id_00004347", "prompt": "What value of x satisfies 11(x - 4) - 494 = 8x?", "solution_steps": ["Expand: 11x - 44 - 494 = 8x", "Combine constants: 11x - 538 = 8x", "Subtract 8x from both sides: 3x - 538 = 0", "Add 538 to both sides: 3x = 538", "Divide both sides by 3: x = 538/3"], "final_answer": "538/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 4) - 494 = 8x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": 494, \"d\": 8}", "seed": "1373229144622677871", "semantic_fingerprint": "sha256:27f48bae83dba02e8ca7319a49dcf55429eecdd9d440bfeade97fd7a7a96c3d4", "generator_version": "3.0"}
{"id": "v3_test_id_00004348", "prompt": "Evaluate: -3 * (-62)", "solution_steps": ["Multiply: -3 * (-62) = 186"], "final_answer": "186", "answer_type": "integer", "kind": "expression", "math_text": "-3 * (-62)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -62}", "seed": "71662021323503507", "semantic_fingerprint": "sha256:09e998d9d83751a93d96825da0a4e75b5a239e7b5347d0ea2b42c05541ca8f8d", "generator_version": "3.0"}
{"id": "v3_test_id_00004349", "prompt": "Calculate: (-8 + (-67)) * (-9)", "solution_steps": ["Add: -8 + (-67) = -75", "Multiply: -75 * (-9) = 675"], "final_answer": "675", "answer_type": "integer", "kind": "expression", "math_text": "(-8 + (-67)) * (-9)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -67, \"c\": -9}", "seed": "13754230657028359652", "semantic_fingerprint": "sha256:3ea7ae91ee80aeedbe119933c8a8770c4e08300f4fcef773aedee481f5de3099", "generator_version": "3.0"}
{"id": "v3_test_id_00004350", "prompt": "What is -504 + (-4) - 7?", "solution_steps": ["Add: -504 + (-4) = -508", "Subtract: -508 - 7 = -515"], "final_answer": "-515", "answer_type": "integer", "kind": "expression", "math_text": "-504 + (-4) - 7", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -504, \"b\": -4, \"c\": 7}", "seed": "14037457921258287541", "semantic_fingerprint": "sha256:8dcbaad6581c87c6113f6829e7488d9c5314ba990143894274272d3f7ebeb83e", "generator_version": "3.0"}
{"id": "v3_test_id_00004351", "prompt": "Compute: 95 + (-7 - (-4) * 6)", "solution_steps": ["Multiply: -4 * 6 = -24", "Subtract: -7 - (-24) = 17", "Add: 95 + 17 = 112"], "final_answer": "112", "answer_type": "integer", "kind": "expression", "math_text": "95 + (-7 - (-4) * 6)", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": -7, \"c\": -4, \"d\": 6}", "seed": "7860156607459890043", "semantic_fingerprint": "sha256:a600b5d23e65cd39ff56f7c52b8d3d0a101615edd5519f56a07d7fd7ff40f737", "generator_version": "3.0"}
{"id": "v3_test_id_00004352", "prompt": "What is -8 * (-9 / (-70))?", "solution_steps": ["Divide: -9 / (-70) = 9/70", "Multiply: -8 * (9/70) = -36/35"], "final_answer": "-36/35", "answer_type": "rational", "kind": "expression", "math_text": "-8 * (-9 / (-70))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -9, \"c\": -70}", "seed": "10188508390256093609", "semantic_fingerprint": "sha256:ba0e728a76d69bb8fe49b3a879b39c11bd2105858c033d52817e9d75d0d4ff82", "generator_version": "3.0"}
{"id": "v3_test_id_00004353", "prompt": "What is 36 / (-4) * (-34 + 156) - (2 + (-63))?", "solution_steps": ["Divide: 36 / (-4) = -9", "Add: -34 + 156 = 122", "Multiply: -9 * 122 = -1098", "Add: 2 + (-63) = -61", "Subtract: -1098 - (-61) = -1037"], "final_answer": "-1037", "answer_type": "integer", "kind": "expression", "math_text": "36 / (-4) * (-34 + 156) - (2 + (-63))", "variable": null, "family": "expression_5op", "shape": "(- (* (/ n n) (+ n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": -4, \"c\": -34, \"d\": 156, \"e\": 2, \"f\": -63}", "seed": "9257795906728964840", "semantic_fingerprint": "sha256:30fd27a22bb2e2ca94bf7d2a2e9a821b1aa633ef569d1f7c0cb5b89eab0a4151", "generator_version": "3.0"}
{"id": "v3_test_id_00004354", "prompt": "Compute: 798 - (-86) / (-1 + 6)", "solution_steps": ["Add: -1 + 6 = 5", "Divide: -86 / 5 = -86/5", "Subtract: 798 - (-86/5) = 4076/5"], "final_answer": "4076/5", "answer_type": "rational", "kind": "expression", "math_text": "798 - (-86) / (-1 + 6)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 798, \"b\": -86, \"c\": -1, \"d\": 6}", "seed": "8601760005403218907", "semantic_fingerprint": "sha256:93a48ab3d044ff5f6bda6602d3f5d9028f122e55aab8aeff6db4a0efcb4fcb5b", "generator_version": "3.0"}
{"id": "v3_test_id_00004355", "prompt": "Solve for x: x = 11(x - 66) - 29", "solution_steps": ["Expand: x = 11x - 726 - 29", "Combine constants: x = 11x - 755", "Subtract 11x from both sides: -10x = -755", "Divide both sides by -10: x = 151/2"], "final_answer": "151/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 11(x - 66) - 29", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 66, \"c\": 29}", "seed": "7762328645356507221", "semantic_fingerprint": "sha256:8452215cc0b1296361b967f9629406eadaf76994fa249302a852a89ed03f33f1", "generator_version": "3.0"}
{"id": "v3_test_id_00004356", "prompt": "Compute: (824 + 0 - (-46)) * 649", "solution_steps": ["Add: 824 + 0 = 824", "Subtract: 824 - (-46) = 870", "Multiply: 870 * 649 = 564630"], "final_answer": "564630", "answer_type": "integer", "kind": "expression", "math_text": "(824 + 0 - (-46)) * 649", "variable": null, "family": "expression_3op", "shape": "(* (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 824, \"b\": 0, \"c\": -46, \"d\": 649}", "seed": "6153806148272934900", "semantic_fingerprint": "sha256:b08e97c958e0328c092bc4b1cad833ff218f49f79844989834a7c4db48409b24", "generator_version": "3.0"}
{"id": "v3_test_id_00004357", "prompt": "What is 930 / (1 / 757)?", "solution_steps": ["Divide: 1 / 757 = 1/757", "Divide: 930 / (1/757) = 704010"], "final_answer": "704010", "answer_type": "integer", "kind": "expression", "math_text": "930 / (1 / 757)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 930, \"b\": 1, \"c\": 757}", "seed": "7493084272747408766", "semantic_fingerprint": "sha256:ae9dc2aeac46c3464a0e1904425db6a40d32825dbbd94d493c4c5897447c2ee4", "generator_version": "3.0"}
{"id": "v3_test_id_00004358", "prompt": "Find x: x = 12(x - 75)", "solution_steps": ["Expand: x = 12x - 900", "Subtract 12x from both sides: -11x = -900", "Divide both sides by -11: x = 900/11"], "final_answer": "900/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 12(x - 75)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 75}", "seed": "8308586134388943791", "semantic_fingerprint": "sha256:ab2f8ebdf222dede5c96145c0498689e1e0beb3382a294c3d5a9b1ab2f459ce9", "generator_version": "3.0"}
{"id": "v3_test_id_00004359", "prompt": "Calculate: 753 / 4 * 4", "solution_steps": ["Divide: 753 / 4 = 753/4", "Multiply: (753/4) * 4 = 753"], "final_answer": "753", "answer_type": "integer", "kind": "expression", "math_text": "753 / 4 * 4", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 753, \"b\": 4, \"c\": 4}", "seed": "8011908028741919052", "semantic_fingerprint": "sha256:194033ffcb8ab6786ad06dd4a748e6809698ff7211b634042588f8e350941b20", "generator_version": "3.0"}
{"id": "v3_test_id_00004360", "prompt": "What is -98 + (840 + (119 + 84))?", "solution_steps": ["Add: 119 + 84 = 203", "Add: 840 + 203 = 1043", "Add: -98 + 1043 = 945"], "final_answer": "945", "answer_type": "integer", "kind": "expression", "math_text": "-98 + (840 + (119 + 84))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -98, \"b\": 840, \"c\": 119, \"d\": 84}", "seed": "4990325636118315126", "semantic_fingerprint": "sha256:35772f7a1980d8b24e1ae5a540a1a199a35a4f3bcc557f0891ce04665303d1e7", "generator_version": "3.0"}
{"id": "v3_test_id_00004361", "prompt": "Solve the equation 11x + 5 = -4(x - 511) + 24 for x.", "solution_steps": ["Expand: 11x + 5 = -4x + 2044 + 24", "Combine constants: 11x + 5 = -4x + 2068", "Add 4x to both sides: 15x + 5 = 2068", "Subtract 5 from both sides: 15x = 2063", "Divide both sides by 15: x = 2063/15"], "final_answer": "2063/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x + 5 = -4(x - 511) + 24", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": -4, \"d\": 511, \"e\": 24}", "seed": "13683817146163449160", "semantic_fingerprint": "sha256:7345542f4cb1a97441edf5f1faa6f14e8a19a24176ce6c6db9fe11bb56ea116c", "generator_version": "3.0"}
{"id": "v3_test_id_00004362", "prompt": "Calculate: 909 - 82 - (-90)", "solution_steps": ["Subtract: 909 - 82 = 827", "Subtract: 827 - (-90) = 917"], "final_answer": "917", "answer_type": "integer", "kind": "expression", "math_text": "909 - 82 - (-90)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 909, \"b\": 82, \"c\": -90}", "seed": "3327654713020802883", "semantic_fingerprint": "sha256:391ed4eac3d256f3f38013804291f4d29cb6debfa5d576e76be40f45e2975452", "generator_version": "3.0"}
{"id": "v3_test_id_00004363", "prompt": "Evaluate: 52 * (63 + (-39))", "solution_steps": ["Add: 63 + (-39) = 24", "Multiply: 52 * 24 = 1248"], "final_answer": "1248", "answer_type": "integer", "kind": "expression", "math_text": "52 * (63 + (-39))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 52, \"b\": 63, \"c\": -39}", "seed": "16340117873128300846", "semantic_fingerprint": "sha256:b856277416164c2c29ef8d194314ead34a8138bbfc422944699d78e01e48277f", "generator_version": "3.0"}
{"id": "v3_test_id_00004364", "prompt": "Compute: (8 + 440 - (-46)) * (7 / (8 - (-7)))", "solution_steps": ["Add: 8 + 440 = 448", "Subtract: 448 - (-46) = 494", "Subtract: 8 - (-7) = 15", "Divide: 7 / 15 = 7/15", "Multiply: 494 * (7/15) = 3458/15"], "final_answer": "3458/15", "answer_type": "rational", "kind": "expression", "math_text": "(8 + 440 - (-46)) * (7 / (8 - (-7)))", "variable": null, "family": "expression_5op", "shape": "(* (- (+ n n) n) (/ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 440, \"c\": -46, \"d\": 7, \"e\": 8, \"f\": -7}", "seed": "2105930985870595500", "semantic_fingerprint": "sha256:c507ffc214925f459e2f8dda74d3f3830c0522094b505c810f5213c966260639", "generator_version": "3.0"}
{"id": "v3_test_id_00004365", "prompt": "Calculate: 41 / 55 * (-402)", "solution_steps": ["Divide: 41 / 55 = 41/55", "Multiply: (41/55) * (-402) = -16482/55"], "final_answer": "-16482/55", "answer_type": "rational", "kind": "expression", "math_text": "41 / 55 * (-402)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": 55, \"c\": -402}", "seed": "11683971167615656930", "semantic_fingerprint": "sha256:c10c035195921207b53ec5462954a900cbcd938f83b95479cfcb7ea0137e023d", "generator_version": "3.0"}
{"id": "v3_test_id_00004366", "prompt": "Compute: -296 + (-4) - 2 / (-2)", "solution_steps": ["Add: -296 + (-4) = -300", "Divide: 2 / (-2) = -1", "Subtract: -300 - (-1) = -299"], "final_answer": "-299", "answer_type": "integer", "kind": "expression", "math_text": "-296 + (-4) - 2 / (-2)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -296, \"b\": -4, \"c\": 2, \"d\": -2}", "seed": "1422076321503311726", "semantic_fingerprint": "sha256:e807ac87557a1602f76dd1ad9ac9e8f99d4dfec98455020f366c38589a6c5c0d", "generator_version": "3.0"}
{"id": "v3_test_id_00004367", "prompt": "Evaluate: -441 + (-79 - 57) + 586 + (-63)", "solution_steps": ["Subtract: -79 - 57 = -136", "Add: -441 + (-136) = -577", "Add: -577 + 586 = 9", "Add: 9 + (-63) = -54"], "final_answer": "-54", "answer_type": "integer", "kind": "expression", "math_text": "-441 + (-79 - 57) + 586 + (-63)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -441, \"b\": -79, \"c\": 57, \"d\": 586, \"e\": -63}", "seed": "10364968230882127149", "semantic_fingerprint": "sha256:b1e166d0fb8934a2254ad4dece20f52d9dbf69011ccac757fe07010f377ec1e4", "generator_version": "3.0"}
{"id": "v3_test_id_00004368", "prompt": "What value of x satisfies -5x - 1 = 5(x + 7) - 264?", "solution_steps": ["Expand: -5x - 1 = 5x + 35 - 264", "Combine constants: -5x - 1 = 5x - 229", "Subtract 5x from both sides: -10x - 1 = -229", "Add 1 to both sides: -10x = -228", "Divide both sides by -10: x = 114/5"], "final_answer": "114/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5x - 1 = 5(x + 7) - 264", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 1, \"c\": 5, \"d\": 7, \"e\": 264}", "seed": "1424825811074274801", "semantic_fingerprint": "sha256:15745b3a4d3457bfc634b2b9cf979228be28739f0abf9637ede7a33cbf211516", "generator_version": "3.0"}
{"id": "v3_test_id_00004369", "prompt": "What value of x satisfies x + 65 = 4(x + 1) + 70?", "solution_steps": ["Expand: x + 65 = 4x + 4 + 70", "Combine constants: x + 65 = 4x + 74", "Subtract 4x from both sides: -3x + 65 = 74", "Subtract 65 from both sides: -3x = 9", "Divide both sides by -3: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 65 = 4(x + 1) + 70", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": 4, \"c\": 1, \"e\": 70, \"x\": -3}", "seed": "16623960126187910223", "semantic_fingerprint": "sha256:4315f88625e8ad5659fce675d14a1996f73dd35e9f630d8c450aba092d815d41", "generator_version": "3.0"}
{"id": "v3_test_id_00004370", "prompt": "What value of x satisfies x - 196 = -9x - 216?", "solution_steps": ["Add 9x to both sides: 10x - 196 = -216", "Add 196 to both sides: 10x = -20", "Divide both sides by 10: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 196 = -9x - 216", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 196, \"b\": -9, \"d\": -216, \"x\": -2}", "seed": "8357188682298182831", "semantic_fingerprint": "sha256:ecf98cd67c0a07b3dd67f2168a432d81b3e10771b290b99e995309cdc53d642b", "generator_version": "3.0"}
{"id": "v3_test_id_00004371", "prompt": "Solve the equation 10x + 36 = -9x - 78 for x.", "solution_steps": ["Add 9x to both sides: 19x + 36 = -78", "Subtract 36 from both sides: 19x = -114", "Divide both sides by 19: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x + 36 = -9x - 78", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 36, \"c\": -9, \"d\": 78}", "seed": "17916658225153920037", "semantic_fingerprint": "sha256:d10618c401187b19f1d1aec0537f14e506ec57129c34218a9a43486a7d721a6c", "generator_version": "3.0"}
{"id": "v3_test_id_00004372", "prompt": "What value of x satisfies -3(x + 55) + 6 = 12(x - 9) - 93?", "solution_steps": ["Expand: -3x - 165 + 6 = 12(x - 9) - 93", "Expand: -3x - 165 + 6 = 12x - 108 - 93", "Combine constants: -3x - 159 = 12x - 108 - 93", "Combine constants: -3x - 159 = 12x - 201", "Subtract 12x from both sides: -15x - 159 = -201", "Add 159 to both sides: -15x = -42", "Divide both sides by -15: x = 14/5"], "final_answer": "14/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x + 55) + 6 = 12(x - 9) - 93", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 55, \"c\": 6, \"d\": 12, \"e\": 9, \"f\": 93}", "seed": "10214112084853103881", "semantic_fingerprint": "sha256:2bcedc83214c5110c2f9aa0150f2d3345bbec38e803c21fed6232b716e6e5fe6", "generator_version": "3.0"}
{"id": "v3_test_id_00004373", "prompt": "Evaluate: 684 / (-128 / (-2 * (-740 + (-514))))", "solution_steps": ["Add: -740 + (-514) = -1254", "Multiply: -2 * (-1254) = 2508", "Divide: -128 / 2508 = -32/627", "Divide: 684 / (-32/627) = -107217/8"], "final_answer": "-107217/8", "answer_type": "rational", "kind": "expression", "math_text": "684 / (-128 / (-2 * (-740 + (-514))))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ n (* n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 684, \"b\": -128, \"c\": -2, \"d\": -740, \"e\": -514}", "seed": "1037583304782232322", "semantic_fingerprint": "sha256:db791c090f04e1b56a54244d1ee909d26244c4ac777f46e27507cc8faa590be6", "generator_version": "3.0"}
{"id": "v3_test_id_00004374", "prompt": "Calculate: 37 + 81", "solution_steps": ["Add: 37 + 81 = 118"], "final_answer": "118", "answer_type": "integer", "kind": "expression", "math_text": "37 + 81", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": 81}", "seed": "771338190893590943", "semantic_fingerprint": "sha256:a7f98092e4cd0bb8f882b89b0b20477e4894ee24a677b426cd8a2f34662eb22b", "generator_version": "3.0"}
{"id": "v3_test_id_00004375", "prompt": "Compute: 98 - (-1) * (230 * (-59))", "solution_steps": ["Multiply: 230 * (-59) = -13570", "Multiply: -1 * (-13570) = 13570", "Subtract: 98 - 13570 = -13472"], "final_answer": "-13472", "answer_type": "integer", "kind": "expression", "math_text": "98 - (-1) * (230 * (-59))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": -1, \"c\": 230, \"d\": -59}", "seed": "1308585146587653235", "semantic_fingerprint": "sha256:ca5f6983dcf316e594c27c3c407ae1fbefc2dbb983db76578ed8599f5f8d53eb", "generator_version": "3.0"}
{"id": "v3_test_id_00004376", "prompt": "Solve the equation -9(x - 73) = x for x.", "solution_steps": ["Expand: -9x + 657 = x", "Subtract x from both sides: -10x + 657 = 0", "Subtract 657 from both sides: -10x = -657", "Divide both sides by -10: x = 657/10"], "final_answer": "657/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 73) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 73}", "seed": "13380155636946540449", "semantic_fingerprint": "sha256:324ccd4b6eea399c282107a1eaa6610ac40f4201c8c3fcd1bd5067223bf03724", "generator_version": "3.0"}
{"id": "v3_test_id_00004377", "prompt": "Evaluate: 85 / (-21)", "solution_steps": ["Divide: 85 / (-21) = -85/21"], "final_answer": "-85/21", "answer_type": "rational", "kind": "expression", "math_text": "85 / (-21)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": -21}", "seed": "8969760217976947704", "semantic_fingerprint": "sha256:ce25a098b46ea82d9b3f721c9acab3849517df7323df23e0c7d8e676a334ff5a", "generator_version": "3.0"}
{"id": "v3_test_id_00004378", "prompt": "Compute: -81 * (-3 - (-14))", "solution_steps": ["Subtract: -3 - (-14) = 11", "Multiply: -81 * 11 = -891"], "final_answer": "-891", "answer_type": "integer", "kind": "expression", "math_text": "-81 * (-3 - (-14))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": -3, \"c\": -14}", "seed": "11864151121302418474", "semantic_fingerprint": "sha256:f7d417de71b27559f05b32cd01f0698bb1af29852ab4aa8e504fecff19e38fc8", "generator_version": "3.0"}
{"id": "v3_test_id_00004379", "prompt": "Evaluate: -103 / (-99) - (-28) / 3", "solution_steps": ["Divide: -103 / (-99) = 103/99", "Divide: -28 / 3 = -28/3", "Subtract: 103/99 - (-28/3) = 1027/99"], "final_answer": "1027/99", "answer_type": "rational", "kind": "expression", "math_text": "-103 / (-99) - (-28) / 3", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -103, \"b\": -99, \"c\": -28, \"d\": 3}", "seed": "17036214868560376697", "semantic_fingerprint": "sha256:101d9f912a4076430039fd533da5d16b79e671ffcc7b8a9936ed1602a6020429", "generator_version": "3.0"}
{"id": "v3_test_id_00004380", "prompt": "Evaluate: -83 + 425 / (-66)", "solution_steps": ["Divide: 425 / (-66) = -425/66", "Add: -83 + (-425/66) = -5903/66"], "final_answer": "-5903/66", "answer_type": "rational", "kind": "expression", "math_text": "-83 + 425 / (-66)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": 425, \"c\": -66}", "seed": "17104317946161171127", "semantic_fingerprint": "sha256:4592342f91be856d7e4a6956db5e5c737ccf495eb8c2429e303d33f15c31ea78", "generator_version": "3.0"}
{"id": "v3_test_id_00004381", "prompt": "What value of x satisfies 7(x - 33) = -4(x - 1) - 301?", "solution_steps": ["Expand: 7x - 231 = -4(x - 1) - 301", "Expand: 7x - 231 = -4x + 4 - 301", "Combine constants: 7x - 231 = -4x - 297", "Add 4x to both sides: 11x - 231 = -297", "Add 231 to both sides: 11x = -66", "Divide both sides by 11: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 33) = -4(x - 1) - 301", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 33, \"c\": -4, \"d\": 1, \"f\": -301, \"x\": -6}", "seed": "4250928370552950589", "semantic_fingerprint": "sha256:9c45cd3cf3b7dba90512dfe3ff60d4a66644ff1a1841e523dbad39691df5c990", "generator_version": "3.0"}
{"id": "v3_test_id_00004382", "prompt": "Calculate: -3 / (91 * 4)", "solution_steps": ["Multiply: 91 * 4 = 364", "Divide: -3 / 364 = -3/364"], "final_answer": "-3/364", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (91 * 4)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 91, \"c\": 4}", "seed": "10337563154083376869", "semantic_fingerprint": "sha256:9de7abb1d3a2a061b9f57107e71c99202969282135e632cff30d2cdb66056dc0", "generator_version": "3.0"}
{"id": "v3_test_id_00004383", "prompt": "Solve for x: 8x - 12 = -92", "solution_steps": ["Add 12 to both sides: 8x = -80", "Divide both sides by 8: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 12 = -92", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 12, \"d\": -92, \"x\": -10}", "seed": "10913460769620285262", "semantic_fingerprint": "sha256:b6c8438d2d4902b7039a6cc1a432f3ca7a3161dfc5efb1cdaa8df94cc5aab1da", "generator_version": "3.0"}
{"id": "v3_test_id_00004384", "prompt": "Compute: -98 + (-450)", "solution_steps": ["Add: -98 + (-450) = -548"], "final_answer": "-548", "answer_type": "integer", "kind": "expression", "math_text": "-98 + (-450)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -98, \"b\": -450}", "seed": "4030940424599609664", "semantic_fingerprint": "sha256:cbcd09da1830f55229976b11655760028b406a3e5e67149439622f12aaccf4ef", "generator_version": "3.0"}
{"id": "v3_test_id_00004385", "prompt": "Evaluate: 30 - 8 - 24 * 879", "solution_steps": ["Subtract: 30 - 8 = 22", "Multiply: 24 * 879 = 21096", "Subtract: 22 - 21096 = -21074"], "final_answer": "-21074", "answer_type": "integer", "kind": "expression", "math_text": "30 - 8 - 24 * 879", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": 8, \"c\": 24, \"d\": 879}", "seed": "15301031490768710325", "semantic_fingerprint": "sha256:5c8f107a3144fec995e0bccd6920fba07e1cae2279e4ee4ceecb30e401fcbe8e", "generator_version": "3.0"}
{"id": "v3_test_id_00004386", "prompt": "Compute: -7 * (-2) / ((80 + (-853)) / 919)", "solution_steps": ["Multiply: -7 * (-2) = 14", "Add: 80 + (-853) = -773", "Divide: -773 / 919 = -773/919", "Divide: 14 / (-773/919) = -12866/773"], "final_answer": "-12866/773", "answer_type": "rational", "kind": "expression", "math_text": "-7 * (-2) / ((80 + (-853)) / 919)", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -2, \"c\": 80, \"d\": -853, \"e\": 919}", "seed": "7286360132705421781", "semantic_fingerprint": "sha256:fd30d18f492339029f6c05e76a584edc6929fde65a149b6b96ff099a822c4aa0", "generator_version": "3.0"}
{"id": "v3_test_id_00004387", "prompt": "Calculate: 508 * (-88) * (-1) * (-8)", "solution_steps": ["Multiply: 508 * (-88) = -44704", "Multiply: -44704 * (-1) = 44704", "Multiply: 44704 * (-8) = -357632"], "final_answer": "-357632", "answer_type": "integer", "kind": "expression", "math_text": "508 * (-88) * (-1) * (-8)", "variable": null, "family": "expression_3op", "shape": "(* (* (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 508, \"b\": -88, \"c\": -1, \"d\": -8}", "seed": "9933763468092734184", "semantic_fingerprint": "sha256:1ad93cfc7d8d6995e27238e4400d625cb0acc0aa26009758300c92515b085778", "generator_version": "3.0"}
{"id": "v3_test_id_00004388", "prompt": "Calculate: -6 / (-126)", "solution_steps": ["Divide: -6 / (-126) = 1/21"], "final_answer": "1/21", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-126)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -126}", "seed": "16440256018768349110", "semantic_fingerprint": "sha256:fdeeb416936a04df5d3efe3fcf0c3c4465b16c4dbc0fa75706a9a2210100015c", "generator_version": "3.0"}
{"id": "v3_test_id_00004389", "prompt": "What is 1 + (5 + (-67))?", "solution_steps": ["Add: 5 + (-67) = -62", "Add: 1 + (-62) = -61"], "final_answer": "-61", "answer_type": "integer", "kind": "expression", "math_text": "1 + (5 + (-67))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 5, \"c\": -67}", "seed": "15232432504843205372", "semantic_fingerprint": "sha256:3a81d877a244406f2936d7f630104eaf08e915ed8da0cbe083f011ae663f2a7e", "generator_version": "3.0"}
{"id": "v3_test_id_00004390", "prompt": "Calculate: (-81 * 13 + (-746) * 7) * (-5)", "solution_steps": ["Multiply: -81 * 13 = -1053", "Multiply: -746 * 7 = -5222", "Add: -1053 + (-5222) = -6275", "Multiply: -6275 * (-5) = 31375"], "final_answer": "31375", "answer_type": "integer", "kind": "expression", "math_text": "(-81 * 13 + (-746) * 7) * (-5)", "variable": null, "family": "expression_4op", "shape": "(* (+ (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": 13, \"c\": -746, \"d\": 7, \"e\": -5}", "seed": "13704998159997398120", "semantic_fingerprint": "sha256:40faf12354578770c852bd78604b83091104abc04d17592b55bb19ad89f8505f", "generator_version": "3.0"}
{"id": "v3_test_id_00004391", "prompt": "What value of x satisfies 5(x - 72) + 76 = -9x - 480?", "solution_steps": ["Expand: 5x - 360 + 76 = -9x - 480", "Combine constants: 5x - 284 = -9x - 480", "Add 9x to both sides: 14x - 284 = -480", "Add 284 to both sides: 14x = -196", "Divide both sides by 14: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 72) + 76 = -9x - 480", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 72, \"c\": 76, \"d\": -9, \"f\": -480, \"x\": -14}", "seed": "15040468384101649094", "semantic_fingerprint": "sha256:0ee1282030aa62eb561b964480e2500128de9cc69a6126c86732b79c85d43a38", "generator_version": "3.0"}
{"id": "v3_test_id_00004392", "prompt": "What is 59 * (-21) + (-34)?", "solution_steps": ["Multiply: 59 * (-21) = -1239", "Add: -1239 + (-34) = -1273"], "final_answer": "-1273", "answer_type": "integer", "kind": "expression", "math_text": "59 * (-21) + (-34)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": -21, \"c\": -34}", "seed": "11937783601455069875", "semantic_fingerprint": "sha256:1e8189ba5ce1a456ac5ac685f6652a831170f965a426561534555baf8b2aae77", "generator_version": "3.0"}
{"id": "v3_test_id_00004393", "prompt": "What value of x satisfies 5x - 1 = x - 29?", "solution_steps": ["Subtract x from both sides: 4x - 1 = -29", "Add 1 to both sides: 4x = -28", "Divide both sides by 4: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 1 = x - 29", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 1, \"d\": -29, \"x\": -7}", "seed": "10173227817976377532", "semantic_fingerprint": "sha256:41b186738b426614711b2b6609c7a20ec857add1db9fb0cbc1ab07ab0b1ab24f", "generator_version": "3.0"}
{"id": "v3_test_id_00004394", "prompt": "Evaluate: 349 + (-2 + 2) + (0 + 6) / (-93)", "solution_steps": ["Add: -2 + 2 = 0", "Add: 349 + 0 = 349", "Add: 0 + 6 = 6", "Divide: 6 / (-93) = -2/31", "Add: 349 + (-2/31) = 10817/31"], "final_answer": "10817/31", "answer_type": "rational", "kind": "expression", "math_text": "349 + (-2 + 2) + (0 + 6) / (-93)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (+ n n)) (/ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 349, \"b\": -2, \"c\": 2, \"d\": 0, \"e\": 6, \"f\": -93}", "seed": "7037026478810910190", "semantic_fingerprint": "sha256:1c8b63c4ab93d71c1e8cee87ba6383f3b8bc05bfcc9480cef401b7d23aefe2b7", "generator_version": "3.0"}
{"id": "v3_test_id_00004395", "prompt": "What is 272 / 4 * 60?", "solution_steps": ["Divide: 272 / 4 = 68", "Multiply: 68 * 60 = 4080"], "final_answer": "4080", "answer_type": "integer", "kind": "expression", "math_text": "272 / 4 * 60", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 272, \"b\": 4, \"c\": 60}", "seed": "6205561365142908390", "semantic_fingerprint": "sha256:acc1be871d78705cbc0d9e9117164919e91674fc67b857c3aae4df350945f8e5", "generator_version": "3.0"}
{"id": "v3_test_id_00004396", "prompt": "Calculate: 995 + 30", "solution_steps": ["Add: 995 + 30 = 1025"], "final_answer": "1025", "answer_type": "integer", "kind": "expression", "math_text": "995 + 30", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 995, \"b\": 30}", "seed": "9144205291579028783", "semantic_fingerprint": "sha256:c5c698cef4dcede35d1e7d65fb2d7bbf5bfa99b2c77b1332c455fbd24b6860a7", "generator_version": "3.0"}
{"id": "v3_test_id_00004397", "prompt": "Solve the equation -12(x - 6) - 76 = 11(x - 9) + 371 for x.", "solution_steps": ["Expand: -12x + 72 - 76 = 11(x - 9) + 371", "Expand: -12x + 72 - 76 = 11x - 99 + 371", "Combine constants: -12x - 4 = 11x - 99 + 371", "Combine constants: -12x - 4 = 11x + 272", "Subtract 11x from both sides: -23x - 4 = 272", "Add 4 to both sides: -23x = 276", "Divide both sides by -23: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x - 6) - 76 = 11(x - 9) + 371", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 6, \"c\": 76, \"d\": 11, \"e\": 9, \"g\": 371, \"x\": -12}", "seed": "17159597673936166861", "semantic_fingerprint": "sha256:97a46a882f0f84a0a864b3dadc3b917f0c66f5e9f2e4b2f8153f39eaa400aef3", "generator_version": "3.0"}
{"id": "v3_test_id_00004398", "prompt": "Find x: 2(x - 3) = 12(x + 88)", "solution_steps": ["Expand: 2x - 6 = 12(x + 88)", "Expand: 2x - 6 = 12x + 1056", "Subtract 12x from both sides: -10x - 6 = 1056", "Add 6 to both sides: -10x = 1062", "Divide both sides by -10: x = -531/5"], "final_answer": "-531/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 3) = 12(x + 88)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": 12, \"d\": 88}", "seed": "10604104973588039266", "semantic_fingerprint": "sha256:38ca22fb8f3cc2b82d795ab292a4992b491364bd14bbd6345f69791b33bb4467", "generator_version": "3.0"}
{"id": "v3_test_id_00004399", "prompt": "Solve for x: 10x + 14 = -6", "solution_steps": ["Subtract 14 from both sides: 10x = -20", "Divide both sides by 10: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x + 14 = -6", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 14, \"d\": -6, \"x\": -2}", "seed": "13394947199506436930", "semantic_fingerprint": "sha256:a23275a77db15fd9dc1ab36f9b48159c3e2e57242b92dfbe4c976212a339c13f", "generator_version": "3.0"}
{"id": "v3_test_id_00004400", "prompt": "Compute: -36 - 405 - 6", "solution_steps": ["Subtract: -36 - 405 = -441", "Subtract: -441 - 6 = -447"], "final_answer": "-447", "answer_type": "integer", "kind": "expression", "math_text": "-36 - 405 - 6", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": 405, \"c\": 6}", "seed": "13317464062227328155", "semantic_fingerprint": "sha256:e26daa00dc69854d6f87deb60e201035183f9be232bfa721b8a6fe2cb0fe0abe", "generator_version": "3.0"}
{"id": "v3_test_id_00004401", "prompt": "Solve the equation 6(x - 8) - 1 = 9x - 9 for x.", "solution_steps": ["Expand: 6x - 48 - 1 = 9x - 9", "Combine constants: 6x - 49 = 9x - 9", "Subtract 9x from both sides: -3x - 49 = -9", "Add 49 to both sides: -3x = 40", "Divide both sides by -3: x = -40/3"], "final_answer": "-40/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 8) - 1 = 9x - 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": 1, \"d\": 9, \"e\": 9}", "seed": "2413766112951433229", "semantic_fingerprint": "sha256:0caf4962fd658398806468c013dc9ed758ced0629d34c831c6238971228b0684", "generator_version": "3.0"}
{"id": "v3_test_id_00004402", "prompt": "Calculate: -5 * (-4)", "solution_steps": ["Multiply: -5 * (-4) = 20"], "final_answer": "20", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (-4)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -4}", "seed": "8231775325505083663", "semantic_fingerprint": "sha256:793645776eaf586345adedf7e81e8c613a8d77a9d2c4a096097ca0d8f8257604", "generator_version": "3.0"}
{"id": "v3_test_id_00004403", "prompt": "What is -273 * (-79 * 6 - 5)?", "solution_steps": ["Multiply: -79 * 6 = -474", "Subtract: -474 - 5 = -479", "Multiply: -273 * (-479) = 130767"], "final_answer": "130767", "answer_type": "integer", "kind": "expression", "math_text": "-273 * (-79 * 6 - 5)", "variable": null, "family": "expression_3op", "shape": "(* n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -273, \"b\": -79, \"c\": 6, \"d\": 5}", "seed": "3503767528065461181", "semantic_fingerprint": "sha256:b3931c9f7715dce3ac1ce553b01e1a6136bd0c83072db000904f8cdac3db2f24", "generator_version": "3.0"}
{"id": "v3_test_id_00004404", "prompt": "What value of x satisfies -7x + 5 = 94?", "solution_steps": ["Subtract 5 from both sides: -7x = 89", "Divide both sides by -7: x = -89/7"], "final_answer": "-89/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7x + 5 = 94", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 5, \"c\": 94}", "seed": "5074820732706861150", "semantic_fingerprint": "sha256:4363d50eff115e5e6aae9bd5a472d8ed1f41d11c652f6aa28d5ebb5117391ef6", "generator_version": "3.0"}
{"id": "v3_test_id_00004405", "prompt": "Calculate: 0 * (-82) * ((-56 - 4) * (-71 + (-5)))", "solution_steps": ["Multiply: 0 * (-82) = 0", "Subtract: -56 - 4 = -60", "Add: -71 + (-5) = -76", "Multiply: -60 * (-76) = 4560", "Multiply: 0 * 4560 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-82) * ((-56 - 4) * (-71 + (-5)))", "variable": null, "family": "expression_5op", "shape": "(* (* n n) (* (- n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -82, \"c\": -56, \"d\": 4, \"e\": -71, \"f\": -5}", "seed": "2389166060700300443", "semantic_fingerprint": "sha256:24a436af8e82c88de3520c9d2c54cc999c162e93a06ee85ddb703c18a06083e6", "generator_version": "3.0"}
{"id": "v3_test_id_00004406", "prompt": "Solve for x: 10(x + 95) - 962 = 7(x - 6)", "solution_steps": ["Expand: 10x + 950 - 962 = 7(x - 6)", "Expand: 10x + 950 - 962 = 7x - 42", "Combine constants: 10x - 12 = 7x - 42", "Subtract 7x from both sides: 3x - 12 = -42", "Add 12 to both sides: 3x = -30", "Divide both sides by 3: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 95) - 962 = 7(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\": 95, \"c\": 7, \"d\": 6, \"f\": -962, \"x\": -10}", "seed": "7945000694387896539", "semantic_fingerprint": "sha256:97c628f0f16c2854e176a8a5ee6b525d22b30f917f2377724f6cf1e65ab55e04", "generator_version": "3.0"}
{"id": "v3_test_id_00004407", "prompt": "Calculate: (-5 / 13 - 583) / 1", "solution_steps": ["Divide: -5 / 13 = -5/13", "Subtract: -5/13 - 583 = -7584/13", "Divide: (-7584/13) / 1 = -7584/13"], "final_answer": "-7584/13", "answer_type": "rational", "kind": "expression", "math_text": "(-5 / 13 - 583) / 1", "variable": null, "family": "expression_3op", "shape": "(/ (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 13, \"c\": 583, \"d\": 1}", "seed": "11852154061360178885", "semantic_fingerprint": "sha256:0a359cf2d2f4e2b8a2ecdfbddea71e150cb69cc2e322b3196e8f2dc616675728", "generator_version": "3.0"}
{"id": "v3_test_id_00004408", "prompt": "Calculate: -9 - 81", "solution_steps": ["Subtract: -9 - 81 = -90"], "final_answer": "-90", "answer_type": "integer", "kind": "expression", "math_text": "-9 - 81", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 81}", "seed": "8754178293852968257", "semantic_fingerprint": "sha256:fbe325fb6ae7b5cc0cea86406cd656e7c8bb32bfac10cd19a32d08a4bb65a5b7", "generator_version": "3.0"}
{"id": "v3_test_id_00004409", "prompt": "Solve the equation -2x - 3 = 12(x - 722) - 884 for x.", "solution_steps": ["Expand: -2x - 3 = 12x - 8664 - 884", "Combine constants: -2x - 3 = 12x - 9548", "Subtract 12x from both sides: -14x - 3 = -9548", "Add 3 to both sides: -14x = -9545", "Divide both sides by -14: x = 9545/14"], "final_answer": "9545/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2x - 3 = 12(x - 722) - 884", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 3, \"c\": 12, \"d\": 722, \"e\": 884}", "seed": "6824424843907937132", "semantic_fingerprint": "sha256:b50dd50b19e5efc0c1f318c01cbb60811da39c520dada1de8ebe89322830ce26", "generator_version": "3.0"}
{"id": "v3_test_id_00004410", "prompt": "What value of x satisfies x - 3 = 11x?", "solution_steps": ["Subtract 11x from both sides: -10x - 3 = 0", "Add 3 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": "x - 3 = 11x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 11}", "seed": "15880334817123092441", "semantic_fingerprint": "sha256:86b0d7ac39832190b6221d5d5862755026588b017fc2648f03e51254c1cf92f1", "generator_version": "3.0"}
{"id": "v3_test_id_00004411", "prompt": "Solve for x: 2(x + 4) - 2 = 12(x + 54) - 812", "solution_steps": ["Expand: 2x + 8 - 2 = 12(x + 54) - 812", "Expand: 2x + 8 - 2 = 12x + 648 - 812", "Combine constants: 2x + 6 = 12x + 648 - 812", "Combine constants: 2x + 6 = 12x - 164", "Subtract 12x from both sides: -10x + 6 = -164", "Subtract 6 from both sides: -10x = -170", "Divide both sides by -10: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 4) - 2 = 12(x + 54) - 812", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": 2, \"d\": 12, \"e\": 54, \"g\": -812, \"x\": 17}", "seed": "17650257668081569367", "semantic_fingerprint": "sha256:03e9767d6f8042e1a3df04147da616dc22df003e656915455c0a679a17801e3c", "generator_version": "3.0"}
{"id": "v3_test_id_00004412", "prompt": "Evaluate: -1 - (-1 + 2 - 3) / 12", "solution_steps": ["Add: -1 + 2 = 1", "Subtract: 1 - 3 = -2", "Divide: -2 / 12 = -1/6", "Subtract: -1 - (-1/6) = -5/6"], "final_answer": "-5/6", "answer_type": "rational", "kind": "expression", "math_text": "-1 - (-1 + 2 - 3) / 12", "variable": null, "family": "expression_4op", "shape": "(- n (/ (- (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -1, \"c\": 2, \"d\": 3, \"e\": 12}", "seed": "1134852941487054485", "semantic_fingerprint": "sha256:7b18756c5f8a9730d2311145cfe763793cf820d7d3be21dd2aef23e1604972f1", "generator_version": "3.0"}
{"id": "v3_test_id_00004413", "prompt": "Evaluate: 973 * 435", "solution_steps": ["Multiply: 973 * 435 = 423255"], "final_answer": "423255", "answer_type": "integer", "kind": "expression", "math_text": "973 * 435", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 973, \"b\": 435}", "seed": "2939448661549603057", "semantic_fingerprint": "sha256:db4f22084d9bf0a18560d82b88da30e6423d19677ec4727c3de45fd09c3bd3b0", "generator_version": "3.0"}
{"id": "v3_test_id_00004414", "prompt": "Solve for x: 8(x + 247) = 7(x - 211)", "solution_steps": ["Expand: 8x + 1976 = 7(x - 211)", "Expand: 8x + 1976 = 7x - 1477", "Subtract 7x from both sides: x + 1976 = -1477", "Subtract 1976 from both sides: x = -3453"], "final_answer": "-3453", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 247) = 7(x - 211)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 247, \"c\": 7, \"d\": 211}", "seed": "9948631279560254009", "semantic_fingerprint": "sha256:cd2bbf4b9d1490ba304d30e6e1c1c91100b909f58497d3cecf8c754b0f3f7914", "generator_version": "3.0"}
{"id": "v3_test_id_00004415", "prompt": "Calculate: -40 + 47 - (-35) / 889", "solution_steps": ["Add: -40 + 47 = 7", "Divide: -35 / 889 = -5/127", "Subtract: 7 - (-5/127) = 894/127"], "final_answer": "894/127", "answer_type": "rational", "kind": "expression", "math_text": "-40 + 47 - (-35) / 889", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": 47, \"c\": -35, \"d\": 889}", "seed": "70907936574623807", "semantic_fingerprint": "sha256:6a54fe1c6af38f6f409fce716faa5ffd5fbc8bea8d4bfb54c36820b86a6d06a2", "generator_version": "3.0"}
{"id": "v3_test_id_00004416", "prompt": "What is -223 + (-8) + (-40)?", "solution_steps": ["Add: -223 + (-8) = -231", "Add: -231 + (-40) = -271"], "final_answer": "-271", "answer_type": "integer", "kind": "expression", "math_text": "-223 + (-8) + (-40)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -223, \"b\": -8, \"c\": -40}", "seed": "11042616643914940630", "semantic_fingerprint": "sha256:23629ec9c0876af7993c8041faed42b6f3c540dcb89d493bb02df662bd65143f", "generator_version": "3.0"}
{"id": "v3_test_id_00004417", "prompt": "Solve for x: -9x + 423 = 3(x + 141)", "solution_steps": ["Expand: -9x + 423 = 3x + 423", "Subtract 3x from both sides: -12x + 423 = 423", "Subtract 423 from both sides: -12x = 0", "Divide both sides by -12: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x + 423 = 3(x + 141)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 3, \"c\": 141, \"e\": 423, \"x\": 0}", "seed": "6059975285090395981", "semantic_fingerprint": "sha256:6f0919dbe1a8de357f14571618b3c22a703cacd812192771146878ffb160fd3c", "generator_version": "3.0"}
{"id": "v3_test_id_00004418", "prompt": "Compute: 30 * 18 / (-521 - (4 + (71 - 471)))", "solution_steps": ["Multiply: 30 * 18 = 540", "Subtract: 71 - 471 = -400", "Add: 4 + (-400) = -396", "Subtract: -521 - (-396) = -125", "Divide: 540 / (-125) = -108/25"], "final_answer": "-108/25", "answer_type": "rational", "kind": "expression", "math_text": "30 * 18 / (-521 - (4 + (71 - 471)))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (- n (+ n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": 18, \"c\": -521, \"d\": 4, \"e\": 71, \"f\": 471}", "seed": "14146249268999079628", "semantic_fingerprint": "sha256:fd09f89dd6b6d6aa168e3dbce24f1b7249f23fabb264c3e55410ed05f69d8aa0", "generator_version": "3.0"}
{"id": "v3_test_id_00004419", "prompt": "Calculate: (0 + 4) * 3 + (-42)", "solution_steps": ["Add: 0 + 4 = 4", "Multiply: 4 * 3 = 12", "Add: 12 + (-42) = -30"], "final_answer": "-30", "answer_type": "integer", "kind": "expression", "math_text": "(0 + 4) * 3 + (-42)", "variable": null, "family": "expression_3op", "shape": "(+ (* (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 4, \"c\": 3, \"d\": -42}", "seed": "10914963807200901347", "semantic_fingerprint": "sha256:017b237ff67d1a053706483bbdcb51220d9142c903b9cb48867ec702763829cb", "generator_version": "3.0"}
{"id": "v3_test_id_00004420", "prompt": "What value of x satisfies 7(x - 4) + 22 = 3x - 30?", "solution_steps": ["Expand: 7x - 28 + 22 = 3x - 30", "Combine constants: 7x - 6 = 3x - 30", "Subtract 3x from both sides: 4x - 6 = -30", "Add 6 to both sides: 4x = -24", "Divide both sides by 4: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 4) + 22 = 3x - 30", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 22, \"d\": 3, \"f\": -30, \"x\": -6}", "seed": "1991319637793236787", "semantic_fingerprint": "sha256:5a8dcc61bf205670760f2e1835c2625f2a74b2c2ddaadd1a6e92474d0408bbdf", "generator_version": "3.0"}
{"id": "v3_test_id_00004421", "prompt": "Compute: (16 + (-87)) * (-50)", "solution_steps": ["Add: 16 + (-87) = -71", "Multiply: -71 * (-50) = 3550"], "final_answer": "3550", "answer_type": "integer", "kind": "expression", "math_text": "(16 + (-87)) * (-50)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": -87, \"c\": -50}", "seed": "2664142839759642288", "semantic_fingerprint": "sha256:224b0163f4c7aceaa16cf6acd1f7d61057ac4ba8a51c8e5fefe5498115ae0520", "generator_version": "3.0"}
{"id": "v3_test_id_00004422", "prompt": "Calculate: 7 + (-34 - 46) - (-17)", "solution_steps": ["Subtract: -34 - 46 = -80", "Add: 7 + (-80) = -73", "Subtract: -73 - (-17) = -56"], "final_answer": "-56", "answer_type": "integer", "kind": "expression", "math_text": "7 + (-34 - 46) - (-17)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -34, \"c\": 46, \"d\": -17}", "seed": "355773011192268976", "semantic_fingerprint": "sha256:c8ba36a461a6cef937fd2d55897844a01d6fd0d90020524355d41aac7950cb4d", "generator_version": "3.0"}
{"id": "v3_test_id_00004423", "prompt": "Find x: -8x = x - 92", "solution_steps": ["Subtract x from both sides: -9x = -92", "Divide both sides by -9: x = 92/9"], "final_answer": "92/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8x = x - 92", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 92}", "seed": "15371487240019543138", "semantic_fingerprint": "sha256:f91a007a00f5250bb64b0a5b16c86717a761bd5ad376adb16b321a4873452210", "generator_version": "3.0"}
{"id": "v3_test_id_00004424", "prompt": "Solve the equation x + 803 = 9(x + 99) for x.", "solution_steps": ["Expand: x + 803 = 9x + 891", "Subtract 9x from both sides: -8x + 803 = 891", "Subtract 803 from both sides: -8x = 88", "Divide both sides by -8: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 803 = 9(x + 99)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 99, \"d\": 803, \"x\": -11}", "seed": "15780385644165541797", "semantic_fingerprint": "sha256:a036e28a8ec14b5b1f38ad8d96ab3ea40d8109d3d9cbaef154c85503184334d1", "generator_version": "3.0"}
{"id": "v3_test_id_00004425", "prompt": "Compute: (6 + (-158)) / (-72) / (1 * 2 - 4)", "solution_steps": ["Add: 6 + (-158) = -152", "Divide: -152 / (-72) = 19/9", "Multiply: 1 * 2 = 2", "Subtract: 2 - 4 = -2", "Divide: (19/9) / (-2) = -19/18"], "final_answer": "-19/18", "answer_type": "rational", "kind": "expression", "math_text": "(6 + (-158)) / (-72) / (1 * 2 - 4)", "variable": null, "family": "expression_5op", "shape": "(/ (/ (+ n n) n) (- (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -158, \"c\": -72, \"d\": 1, \"e\": 2, \"f\": 4}", "seed": "12718783073637870453", "semantic_fingerprint": "sha256:6125bc1b689b7ceb287617951d72407cb37d171f39db4ff479ecfbdc966e9709", "generator_version": "3.0"}
{"id": "v3_test_id_00004426", "prompt": "What value of x satisfies -7(x - 3) + 311 = 206?", "solution_steps": ["Expand: -7x + 21 + 311 = 206", "Combine constants: -7x + 332 = 206", "Subtract 332 from both sides: -7x = -126", "Divide both sides by -7: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 3) + 311 = 206", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 3, \"c\": 311, \"e\": 206, \"x\": 18}", "seed": "4948701064907110733", "semantic_fingerprint": "sha256:99cb94775b7f7f68ccd0b14a37dc6cd69f639941d1b0155f1d9d43874a39cdeb", "generator_version": "3.0"}
{"id": "v3_test_id_00004427", "prompt": "What value of x satisfies x = 11x + 40?", "solution_steps": ["Subtract 11x from both sides: -10x = 40", "Divide both sides by -10: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 11x + 40", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"c\": 40, \"x\": -4}", "seed": "7442151650793220692", "semantic_fingerprint": "sha256:dfcc6e168c6a970951591ff2ef450b9fe09ed35c4215de7d02c18db04c135a70", "generator_version": "3.0"}
{"id": "v3_test_id_00004428", "prompt": "Compute: 483 + (-4) * (-63 * (-3)) - 54", "solution_steps": ["Multiply: -63 * (-3) = 189", "Multiply: -4 * 189 = -756", "Add: 483 + (-756) = -273", "Subtract: -273 - 54 = -327"], "final_answer": "-327", "answer_type": "integer", "kind": "expression", "math_text": "483 + (-4) * (-63 * (-3)) - 54", "variable": null, "family": "expression_4op", "shape": "(- (+ n (* n (* n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 483, \"b\": -4, \"c\": -63, \"d\": -3, \"e\": 54}", "seed": "2569706364329578409", "semantic_fingerprint": "sha256:93fa2ddacb963827755e9f868c35539c2e4417f45d73895fc4f3da7c95336241", "generator_version": "3.0"}
{"id": "v3_test_id_00004429", "prompt": "Solve for x: 3(x - 5) = 12(x + 11) - 12", "solution_steps": ["Expand: 3x - 15 = 12(x + 11) - 12", "Expand: 3x - 15 = 12x + 132 - 12", "Combine constants: 3x - 15 = 12x + 120", "Subtract 12x from both sides: -9x - 15 = 120", "Add 15 to both sides: -9x = 135", "Divide both sides by -9: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 5) = 12(x + 11) - 12", "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\": 12, \"d\": 11, \"f\": -12, \"x\": -15}", "seed": "6042036518217315235", "semantic_fingerprint": "sha256:6fffc4f27406c5224b184427bc1e976f3091e5b1bfb6669041ad3ce01a090d5f", "generator_version": "3.0"}
{"id": "v3_test_id_00004430", "prompt": "What value of x satisfies x = -4(x + 333)?", "solution_steps": ["Expand: x = -4x - 1332", "Add 4x to both sides: 5x = -1332", "Divide both sides by 5: x = -1332/5"], "final_answer": "-1332/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -4(x + 333)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 333}", "seed": "6630882900373043503", "semantic_fingerprint": "sha256:9e20d0b5727ae93a2e38a7f99c2844d6e94e26faad17b0b7bb950b2912f27b7c", "generator_version": "3.0"}
{"id": "v3_test_id_00004431", "prompt": "Calculate: 0 / (9 * 43) * (7 - 670)", "solution_steps": ["Multiply: 9 * 43 = 387", "Divide: 0 / 387 = 0", "Subtract: 7 - 670 = -663", "Multiply: 0 * (-663) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (9 * 43) * (7 - 670)", "variable": null, "family": "expression_4op", "shape": "(* (/ n (* n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 9, \"c\": 43, \"d\": 7, \"e\": 670}", "seed": "99021991360267044", "semantic_fingerprint": "sha256:228d9f3b5afc2ed60d3e172d99c941cdbc080789b7b20b53f697a9c972e4eb21", "generator_version": "3.0"}
{"id": "v3_test_id_00004432", "prompt": "Solve the equation 10(x - 5) = 4(x - 6) - 2 for x.", "solution_steps": ["Expand: 10x - 50 = 4(x - 6) - 2", "Expand: 10x - 50 = 4x - 24 - 2", "Combine constants: 10x - 50 = 4x - 26", "Subtract 4x from both sides: 6x - 50 = -26", "Add 50 to both sides: 6x = 24", "Divide both sides by 6: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 5) = 4(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\": 5, \"c\": 4, \"d\": 6, \"e\": 2}", "seed": "15121128138223828468", "semantic_fingerprint": "sha256:47767dd03816cf964d4ec4cc4c6ab35778c08f2c63e9e92d57c83c4da1bc80d8", "generator_version": "3.0"}
{"id": "v3_test_id_00004433", "prompt": "Solve for x: -2x = 5(x - 3) + 50", "solution_steps": ["Expand: -2x = 5x - 15 + 50", "Combine constants: -2x = 5x + 35", "Subtract 5x from both sides: -7x = 35", "Divide both sides by -7: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x = 5(x - 3) + 50", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 5, \"c\": 3, \"e\": 50, \"x\": -5}", "seed": "15812098629024460869", "semantic_fingerprint": "sha256:da047e36711942c2bed2f8cbea579e4e0a7afe93a290f424ffc94a789af301ff", "generator_version": "3.0"}
{"id": "v3_test_id_00004434", "prompt": "Calculate: (1 + 6) / ((-6 - (-49)) / (-2))", "solution_steps": ["Add: 1 + 6 = 7", "Subtract: -6 - (-49) = 43", "Divide: 43 / (-2) = -43/2", "Divide: 7 / (-43/2) = -14/43"], "final_answer": "-14/43", "answer_type": "rational", "kind": "expression", "math_text": "(1 + 6) / ((-6 - (-49)) / (-2))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 6, \"c\": -6, \"d\": -49, \"e\": -2}", "seed": "9742153200342037014", "semantic_fingerprint": "sha256:d98e08cb39d099a12ca3ab66b47b2904f015273b3a6101422fde772ff6e6e238", "generator_version": "3.0"}
{"id": "v3_test_id_00004435", "prompt": "Evaluate: (-5 + (355 + 57)) * (-52)", "solution_steps": ["Add: 355 + 57 = 412", "Add: -5 + 412 = 407", "Multiply: 407 * (-52) = -21164"], "final_answer": "-21164", "answer_type": "integer", "kind": "expression", "math_text": "(-5 + (355 + 57)) * (-52)", "variable": null, "family": "expression_3op", "shape": "(* (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 355, \"c\": 57, \"d\": -52}", "seed": "623055411937403831", "semantic_fingerprint": "sha256:36bb281bccd1c0c411dff13f84b8b720ff1886e6af7952f38a76f5dff5722c55", "generator_version": "3.0"}
{"id": "v3_test_id_00004436", "prompt": "What is 6 / 70 / (-4)?", "solution_steps": ["Divide: 6 / 70 = 3/35", "Divide: (3/35) / (-4) = -3/140"], "final_answer": "-3/140", "answer_type": "rational", "kind": "expression", "math_text": "6 / 70 / (-4)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 70, \"c\": -4}", "seed": "5735377191590465145", "semantic_fingerprint": "sha256:c3b9c57807f1fd5d312dba67a73c6f12ab89d69ab6975c548c93e939ecbf10ce", "generator_version": "3.0"}
{"id": "v3_test_id_00004437", "prompt": "Solve for x: 9(x + 32) = 4x + 348", "solution_steps": ["Expand: 9x + 288 = 4x + 348", "Subtract 4x from both sides: 5x + 288 = 348", "Subtract 288 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 + 32) = 4x + 348", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 32, \"c\": 4, \"e\": 348, \"x\": 12}", "seed": "1909891508389596855", "semantic_fingerprint": "sha256:c4e17d1c93e23f58dfda0be7397bfe9d0dda45ad74c316feaf2f72b54e43f0f6", "generator_version": "3.0"}
{"id": "v3_test_id_00004438", "prompt": "Solve the equation 3x + 151 = -11(x - 1) for x.", "solution_steps": ["Expand: 3x + 151 = -11x + 11", "Add 11x to both sides: 14x + 151 = 11", "Subtract 151 from both sides: 14x = -140", "Divide both sides by 14: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x + 151 = -11(x - 1)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -11, \"c\": 1, \"e\": 151, \"x\": -10}", "seed": "15146055195226454496", "semantic_fingerprint": "sha256:70c2c8c0fe8557ca89e98f962d5bbf3d8aafb0374871c1a7c3edb8b4048c14e5", "generator_version": "3.0"}
{"id": "v3_test_id_00004439", "prompt": "Evaluate: 835 + 970", "solution_steps": ["Add: 835 + 970 = 1805"], "final_answer": "1805", "answer_type": "integer", "kind": "expression", "math_text": "835 + 970", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 835, \"b\": 970}", "seed": "17935377839723038711", "semantic_fingerprint": "sha256:417b64ac531ad889ae06bdc1ab5937d8f22be44a3ecdd6d9b6e186a37730137a", "generator_version": "3.0"}
{"id": "v3_test_id_00004440", "prompt": "Find x: 9(x + 69) - 904 = -6x", "solution_steps": ["Expand: 9x + 621 - 904 = -6x", "Combine constants: 9x - 283 = -6x", "Add 6x to both sides: 15x - 283 = 0", "Add 283 to both sides: 15x = 283", "Divide both sides by 15: x = 283/15"], "final_answer": "283/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 69) - 904 = -6x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 69, \"c\": 904, \"d\": -6}", "seed": "2358846097808236653", "semantic_fingerprint": "sha256:52475fa0d8c549ce3d246985f2e423a17dc102b19a5e87161f1238eba4e30914", "generator_version": "3.0"}
{"id": "v3_test_id_00004441", "prompt": "Solve the equation 10x - 51 = x + 3 for x.", "solution_steps": ["Subtract x from both sides: 9x - 51 = 3", "Add 51 to both sides: 9x = 54", "Divide both sides by 9: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 51 = x + 3", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 51, \"d\": 3, \"x\": 6}", "seed": "18296620257290875043", "semantic_fingerprint": "sha256:f21d5687218a521a9718bc8c2b09991a350f562eb72e932b29519a76fee1409d", "generator_version": "3.0"}
{"id": "v3_test_id_00004442", "prompt": "Calculate: 945 / 1", "solution_steps": ["Divide: 945 / 1 = 945"], "final_answer": "945", "answer_type": "integer", "kind": "expression", "math_text": "945 / 1", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 945, \"b\": 1}", "seed": "16323380465006585521", "semantic_fingerprint": "sha256:d45e9b16d78902291e584f5bc6f5a9c569ae142064c06e0626f9b036aeebd372", "generator_version": "3.0"}
{"id": "v3_test_id_00004443", "prompt": "Calculate: -91 + (-69 + (-514) / (-475))", "solution_steps": ["Divide: -514 / (-475) = 514/475", "Add: -69 + 514/475 = -32261/475", "Add: -91 + (-32261/475) = -75486/475"], "final_answer": "-75486/475", "answer_type": "rational", "kind": "expression", "math_text": "-91 + (-69 + (-514) / (-475))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": -69, \"c\": -514, \"d\": -475}", "seed": "11070928941158785757", "semantic_fingerprint": "sha256:4a863f57fcb7b2edff4267014955f809056a82d98e79765d8d1e3e8afed6dad1", "generator_version": "3.0"}
{"id": "v3_test_id_00004444", "prompt": "Evaluate: -389 / (-64)", "solution_steps": ["Divide: -389 / (-64) = 389/64"], "final_answer": "389/64", "answer_type": "rational", "kind": "expression", "math_text": "-389 / (-64)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -389, \"b\": -64}", "seed": "12169666253318546584", "semantic_fingerprint": "sha256:ebe67d0f097b2362b9ff4c3967dbfa3f09027b4d878979dc4d11d8c22803e7df", "generator_version": "3.0"}
{"id": "v3_test_id_00004445", "prompt": "Evaluate: 1 - ((-307 - 493) * (-33) + (6 + 5))", "solution_steps": ["Subtract: -307 - 493 = -800", "Multiply: -800 * (-33) = 26400", "Add: 6 + 5 = 11", "Add: 26400 + 11 = 26411", "Subtract: 1 - 26411 = -26410"], "final_answer": "-26410", "answer_type": "integer", "kind": "expression", "math_text": "1 - ((-307 - 493) * (-33) + (6 + 5))", "variable": null, "family": "expression_5op", "shape": "(- n (+ (* (- n n) n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -307, \"c\": 493, \"d\": -33, \"e\": 6, \"f\": 5}", "seed": "17418756262493719783", "semantic_fingerprint": "sha256:ee569c3b54823bcef4a8c9a707612c613d763bd2cdc6e525ba2efef9924953da", "generator_version": "3.0"}
{"id": "v3_test_id_00004446", "prompt": "Calculate: (6 + (86 - 815)) / (-817)", "solution_steps": ["Subtract: 86 - 815 = -729", "Add: 6 + (-729) = -723", "Divide: -723 / (-817) = 723/817"], "final_answer": "723/817", "answer_type": "rational", "kind": "expression", "math_text": "(6 + (86 - 815)) / (-817)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 86, \"c\": 815, \"d\": -817}", "seed": "11057682661203331506", "semantic_fingerprint": "sha256:276d5c0a204eb5a850c75e816939d7429a18e343a39974ec7d9e8a56a7675e38", "generator_version": "3.0"}
{"id": "v3_test_id_00004447", "prompt": "Calculate: 27 - 0", "solution_steps": ["Subtract: 27 - 0 = 27"], "final_answer": "27", "answer_type": "integer", "kind": "expression", "math_text": "27 - 0", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": 0}", "seed": "12687636379749985369", "semantic_fingerprint": "sha256:e3ba4151e30299699d40b362fb94162811217d328f7f07f8e49fa5751ffd2a57", "generator_version": "3.0"}
{"id": "v3_test_id_00004448", "prompt": "Find x: 6(x + 49) - 16 = 10(x - 236) + 73", "solution_steps": ["Expand: 6x + 294 - 16 = 10(x - 236) + 73", "Expand: 6x + 294 - 16 = 10x - 2360 + 73", "Combine constants: 6x + 278 = 10x - 2360 + 73", "Combine constants: 6x + 278 = 10x - 2287", "Subtract 10x from both sides: -4x + 278 = -2287", "Subtract 278 from both sides: -4x = -2565", "Divide both sides by -4: x = 2565/4"], "final_answer": "2565/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 49) - 16 = 10(x - 236) + 73", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 49, \"c\": 16, \"d\": 10, \"e\": 236, \"f\": 73}", "seed": "13272182943031926339", "semantic_fingerprint": "sha256:4d291289ecef86c140ee8bb746702d8ad51a22df1f0d29874434b56bdf572c24", "generator_version": "3.0"}
{"id": "v3_test_id_00004449", "prompt": "Evaluate: -49 * 1", "solution_steps": ["Multiply: -49 * 1 = -49"], "final_answer": "-49", "answer_type": "integer", "kind": "expression", "math_text": "-49 * 1", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": 1}", "seed": "11647048070236266147", "semantic_fingerprint": "sha256:4e7a44b85834afc6c7a888a6e4f7e346c8b1bd2858df129115a31b6024d29f15", "generator_version": "3.0"}
{"id": "v3_test_id_00004450", "prompt": "Compute: (32 + (-31)) / 7 / 98 + (-30)", "solution_steps": ["Add: 32 + (-31) = 1", "Divide: 1 / 7 = 1/7", "Divide: (1/7) / 98 = 1/686", "Add: 1/686 + (-30) = -20579/686"], "final_answer": "-20579/686", "answer_type": "rational", "kind": "expression", "math_text": "(32 + (-31)) / 7 / 98 + (-30)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (/ (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": -31, \"c\": 7, \"d\": 98, \"e\": -30}", "seed": "6500331032538274428", "semantic_fingerprint": "sha256:dceca6dba62cb07585d69b1ed6383c35f432a7d3f739b265ad19fc85021e5ef7", "generator_version": "3.0"}
{"id": "v3_test_id_00004451", "prompt": "What value of x satisfies x - 100 = 6(x + 87) - 662?", "solution_steps": ["Expand: x - 100 = 6x + 522 - 662", "Combine constants: x - 100 = 6x - 140", "Subtract 6x from both sides: -5x - 100 = -140", "Add 100 to both sides: -5x = -40", "Divide both sides by -5: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 100 = 6(x + 87) - 662", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 100, \"b\": 6, \"c\": 87, \"e\": -662, \"x\": 8}", "seed": "12070424960991445604", "semantic_fingerprint": "sha256:3e489f7a7456ac92f21a9d560db8ea886f7d230bd3458c9d27fc03625c5b25dd", "generator_version": "3.0"}
{"id": "v3_test_id_00004452", "prompt": "Solve for x: x + 7 = -7x + 135", "solution_steps": ["Add 7x to both sides: 8x + 7 = 135", "Subtract 7 from both sides: 8x = 128", "Divide both sides by 8: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 7 = -7x + 135", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -7, \"d\": 135, \"x\": 16}", "seed": "2283752787460379996", "semantic_fingerprint": "sha256:305cb76d2869873222b31d8ba6a05b82e57297195952e3c915d07c2d86674866", "generator_version": "3.0"}
{"id": "v3_test_id_00004453", "prompt": "What is -63 * 8 - (-24 - (-89))?", "solution_steps": ["Multiply: -63 * 8 = -504", "Subtract: -24 - (-89) = 65", "Subtract: -504 - 65 = -569"], "final_answer": "-569", "answer_type": "integer", "kind": "expression", "math_text": "-63 * 8 - (-24 - (-89))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": 8, \"c\": -24, \"d\": -89}", "seed": "5133078164434026900", "semantic_fingerprint": "sha256:f7e0e7d361e1c95f5163b46e847979d3f5f431fd992a44247c090f6657c62e1d", "generator_version": "3.0"}
{"id": "v3_test_id_00004454", "prompt": "What value of x satisfies -12x - 24 = x?", "solution_steps": ["Subtract x from both sides: -13x - 24 = 0", "Add 24 to both sides: -13x = 24", "Divide both sides by -13: x = -24/13"], "final_answer": "-24/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x - 24 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 24}", "seed": "15839817758935804994", "semantic_fingerprint": "sha256:441da70788d7aeed67a398defb0352b459e857980ff1f8bd4d3ad4d2abb4d28a", "generator_version": "3.0"}
{"id": "v3_test_id_00004455", "prompt": "Find x: -10x + 49 = 2(x + 14) - 7", "solution_steps": ["Expand: -10x + 49 = 2x + 28 - 7", "Combine constants: -10x + 49 = 2x + 21", "Subtract 2x from both sides: -12x + 49 = 21", "Subtract 49 from both sides: -12x = -28", "Divide both sides by -12: x = 7/3"], "final_answer": "7/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10x + 49 = 2(x + 14) - 7", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 49, \"c\": 2, \"d\": 14, \"e\": 7}", "seed": "8333829849685345562", "semantic_fingerprint": "sha256:88535531b235c75f4aefa14939ed6ceb66252cacb7634bab64fcacae1641948b", "generator_version": "3.0"}
{"id": "v3_test_id_00004456", "prompt": "Solve for x: -6(x + 8) = -11(x + 16) - 563", "solution_steps": ["Expand: -6x - 48 = -11(x + 16) - 563", "Expand: -6x - 48 = -11x - 176 - 563", "Combine constants: -6x - 48 = -11x - 739", "Add 11x to both sides: 5x - 48 = -739", "Add 48 to both sides: 5x = -691", "Divide both sides by 5: x = -691/5"], "final_answer": "-691/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x + 8) = -11(x + 16) - 563", "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\": -11, \"d\": 16, \"e\": 563}", "seed": "14435410763422758075", "semantic_fingerprint": "sha256:cd878d8c3131055fc56896fc84364394e3483a06c375bc8ac66c87d71a76adfb", "generator_version": "3.0"}
{"id": "v3_test_id_00004457", "prompt": "Find x: x + 4 = 6(x + 46) - 182", "solution_steps": ["Expand: x + 4 = 6x + 276 - 182", "Combine constants: x + 4 = 6x + 94", "Subtract 6x from both sides: -5x + 4 = 94", "Subtract 4 from both sides: -5x = 90", "Divide both sides by -5: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4 = 6(x + 46) - 182", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": 46, \"e\": -182, \"x\": -18}", "seed": "18348148836160621004", "semantic_fingerprint": "sha256:90686bdec59ee85b3b1de0f9f96f868a1081b17e5027689324e7f9cd0d518036", "generator_version": "3.0"}
{"id": "v3_test_id_00004458", "prompt": "Find x: x + 212 = 8x + 128", "solution_steps": ["Subtract 8x from both sides: -7x + 212 = 128", "Subtract 212 from both sides: -7x = -84", "Divide both sides by -7: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 212 = 8x + 128", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 212, \"b\": 8, \"d\": 128, \"x\": 12}", "seed": "8135656473006546449", "semantic_fingerprint": "sha256:27519607a62eb2b013b024fb837e04e744bc99a71e5b24d6276d3bf1408025e4", "generator_version": "3.0"}
{"id": "v3_test_id_00004459", "prompt": "Evaluate: (55 - (-717) + (63 - 84)) * (7 + 9)", "solution_steps": ["Subtract: 55 - (-717) = 772", "Subtract: 63 - 84 = -21", "Add: 772 + (-21) = 751", "Add: 7 + 9 = 16", "Multiply: 751 * 16 = 12016"], "final_answer": "12016", "answer_type": "integer", "kind": "expression", "math_text": "(55 - (-717) + (63 - 84)) * (7 + 9)", "variable": null, "family": "expression_5op", "shape": "(* (+ (- n n) (- n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": -717, \"c\": 63, \"d\": 84, \"e\": 7, \"f\": 9}", "seed": "2353434881227256284", "semantic_fingerprint": "sha256:525a73aab9adeaed1d518f7d0a7fc5ab8669d821e78122323770018bb8c4ada1", "generator_version": "3.0"}
{"id": "v3_test_id_00004460", "prompt": "What value of x satisfies -12(x + 82) + 8 = 11x + 18?", "solution_steps": ["Expand: -12x - 984 + 8 = 11x + 18", "Combine constants: -12x - 976 = 11x + 18", "Subtract 11x from both sides: -23x - 976 = 18", "Add 976 to both sides: -23x = 994", "Divide both sides by -23: x = -994/23"], "final_answer": "-994/23", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 82) + 8 = 11x + 18", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 82, \"c\": 8, \"d\": 11, \"e\": 18}", "seed": "4552774541592615907", "semantic_fingerprint": "sha256:5b1e868a0bb027a6879ad24c66c67487a17c6887b3ff7592db4ec7f01de45801", "generator_version": "3.0"}
{"id": "v3_test_id_00004461", "prompt": "Solve the equation x - 9 = 2x - 24 for x.", "solution_steps": ["Subtract 2x from both sides: -x - 9 = -24", "Add 9 to both sides: -x = -15", "Divide both sides by -1: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9 = 2x - 24", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"d\": -24, \"x\": 15}", "seed": "16050702788531448534", "semantic_fingerprint": "sha256:d0a0f3d15dcc2a0b98ea6805942ec8e4a3d4003dfedf0ed33518208b66a6d6c2", "generator_version": "3.0"}
{"id": "v3_test_id_00004462", "prompt": "Calculate: 6 / 968 / (3 / (-49))", "solution_steps": ["Divide: 6 / 968 = 3/484", "Divide: 3 / (-49) = -3/49", "Divide: (3/484) / (-3/49) = -49/484"], "final_answer": "-49/484", "answer_type": "rational", "kind": "expression", "math_text": "6 / 968 / (3 / (-49))", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 968, \"c\": 3, \"d\": -49}", "seed": "4543445582466051122", "semantic_fingerprint": "sha256:954d6dbc032b3b6e09d554f88c70cc7b34aab1448eea64071d8b5077dc01d97f", "generator_version": "3.0"}
{"id": "v3_test_id_00004463", "prompt": "Calculate: 651 - (-6) + 406", "solution_steps": ["Subtract: 651 - (-6) = 657", "Add: 657 + 406 = 1063"], "final_answer": "1063", "answer_type": "integer", "kind": "expression", "math_text": "651 - (-6) + 406", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 651, \"b\": -6, \"c\": 406}", "seed": "11143515114575796442", "semantic_fingerprint": "sha256:d0cfbcc4dbf3ebed7ccccc8b3ae5c9a1a8f9ba913bfca5c01230c7529bfae2a6", "generator_version": "3.0"}
{"id": "v3_test_id_00004464", "prompt": "Evaluate: -13 / (86 / (-130)) * (-6 * (-4))", "solution_steps": ["Divide: 86 / (-130) = -43/65", "Divide: -13 / (-43/65) = 845/43", "Multiply: -6 * (-4) = 24", "Multiply: (845/43) * 24 = 20280/43"], "final_answer": "20280/43", "answer_type": "rational", "kind": "expression", "math_text": "-13 / (86 / (-130)) * (-6 * (-4))", "variable": null, "family": "expression_4op", "shape": "(* (/ n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": 86, \"c\": -130, \"d\": -6, \"e\": -4}", "seed": "1894314324429795274", "semantic_fingerprint": "sha256:dab5ee30b8e5fc526699b1dbe2cf4c2e2a115f8f363ded040770d17aa11c0a09", "generator_version": "3.0"}
{"id": "v3_test_id_00004465", "prompt": "Find x: 3x + 952 = 2(x + 476)", "solution_steps": ["Expand: 3x + 952 = 2x + 952", "Subtract 2x from both sides: x + 952 = 952", "Subtract 952 from both sides: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x + 952 = 2(x + 476)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": 476, \"e\": 952, \"x\": 0}", "seed": "191845629448539360", "semantic_fingerprint": "sha256:6be8c20fb62b30c083ab8207c03e94680e360d322ea892d4d41ff569462f1d6d", "generator_version": "3.0"}
{"id": "v3_test_id_00004466", "prompt": "Calculate: 41 / (-2)", "solution_steps": ["Divide: 41 / (-2) = -41/2"], "final_answer": "-41/2", "answer_type": "rational", "kind": "expression", "math_text": "41 / (-2)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": -2}", "seed": "12194993597469764734", "semantic_fingerprint": "sha256:34190291bb9778e62e018ceb92846787f7e96b80edf6c048fcca82b06a075ed9", "generator_version": "3.0"}
{"id": "v3_test_id_00004467", "prompt": "Evaluate: (57 - (-53)) * 44 + 0 / (-15)", "solution_steps": ["Subtract: 57 - (-53) = 110", "Multiply: 110 * 44 = 4840", "Divide: 0 / (-15) = 0", "Add: 4840 + 0 = 4840"], "final_answer": "4840", "answer_type": "integer", "kind": "expression", "math_text": "(57 - (-53)) * 44 + 0 / (-15)", "variable": null, "family": "expression_4op", "shape": "(+ (* (- n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": -53, \"c\": 44, \"d\": 0, \"e\": -15}", "seed": "6501356710205024574", "semantic_fingerprint": "sha256:727496fddfac0333503457a865f20604ca2347dc4e882b8df5b349a1d3ff996a", "generator_version": "3.0"}
{"id": "v3_test_id_00004468", "prompt": "Compute: -5 * (250 / 670)", "solution_steps": ["Divide: 250 / 670 = 25/67", "Multiply: -5 * (25/67) = -125/67"], "final_answer": "-125/67", "answer_type": "rational", "kind": "expression", "math_text": "-5 * (250 / 670)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 250, \"c\": 670}", "seed": "9540340740115671289", "semantic_fingerprint": "sha256:d8e73b9209aae58aa36098a82a9b06e1eaf4a8eaa4c7aa82cbfd8431420f87c9", "generator_version": "3.0"}
{"id": "v3_test_id_00004469", "prompt": "Calculate: 640 * 13 + 56", "solution_steps": ["Multiply: 640 * 13 = 8320", "Add: 8320 + 56 = 8376"], "final_answer": "8376", "answer_type": "integer", "kind": "expression", "math_text": "640 * 13 + 56", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 640, \"b\": 13, \"c\": 56}", "seed": "5697103885439409556", "semantic_fingerprint": "sha256:efbf8a06cfc74609662ec068c9434b03530d3a6725df61c7bd5e17da7bf18545", "generator_version": "3.0"}
{"id": "v3_test_id_00004470", "prompt": "Compute: 27 + (-91) + (-2 - (86 - 0))", "solution_steps": ["Add: 27 + (-91) = -64", "Subtract: 86 - 0 = 86", "Subtract: -2 - 86 = -88", "Add: -64 + (-88) = -152"], "final_answer": "-152", "answer_type": "integer", "kind": "expression", "math_text": "27 + (-91) + (-2 - (86 - 0))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": -91, \"c\": -2, \"d\": 86, \"e\": 0}", "seed": "5638811140261129837", "semantic_fingerprint": "sha256:39ec1c73fc8ac47b2b8a47ee23506fcd9f0c042e04a43d04a8f15c08d5dc5b53", "generator_version": "3.0"}
{"id": "v3_test_id_00004471", "prompt": "Solve the equation 11x + 3 = 4(x - 4) - 9 for x.", "solution_steps": ["Expand: 11x + 3 = 4x - 16 - 9", "Combine constants: 11x + 3 = 4x - 25", "Subtract 4x from both sides: 7x + 3 = -25", "Subtract 3 from both sides: 7x = -28", "Divide both sides by 7: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 3 = 4(x - 4) - 9", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 3, \"c\": 4, \"d\": 4, \"e\": 9}", "seed": "13991074729815722561", "semantic_fingerprint": "sha256:4d1f32321c95af713719277609c531d2b27e04c876124dcb5d7dd287e5b7539a", "generator_version": "3.0"}
{"id": "v3_test_id_00004472", "prompt": "Find x: 6(x + 44) + 67 = 12(x + 839) + 9", "solution_steps": ["Expand: 6x + 264 + 67 = 12(x + 839) + 9", "Expand: 6x + 264 + 67 = 12x + 10068 + 9", "Combine constants: 6x + 331 = 12x + 10068 + 9", "Combine constants: 6x + 331 = 12x + 10077", "Subtract 12x from both sides: -6x + 331 = 10077", "Subtract 331 from both sides: -6x = 9746", "Divide both sides by -6: x = -4873/3"], "final_answer": "-4873/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 44) + 67 = 12(x + 839) + 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 44, \"c\": 67, \"d\": 12, \"e\": 839, \"f\": 9}", "seed": "494995576131736351", "semantic_fingerprint": "sha256:5cb49a1c31af7d55f5f6eebf510827892c5c6195c6b46779182b012dee3b7efa", "generator_version": "3.0"}
{"id": "v3_test_id_00004473", "prompt": "Solve the equation 2(x + 75) + 686 = 9(x - 8) + 810 for x.", "solution_steps": ["Expand: 2x + 150 + 686 = 9(x - 8) + 810", "Expand: 2x + 150 + 686 = 9x - 72 + 810", "Combine constants: 2x + 836 = 9x - 72 + 810", "Combine constants: 2x + 836 = 9x + 738", "Subtract 9x from both sides: -7x + 836 = 738", "Subtract 836 from both sides: -7x = -98", "Divide both sides by -7: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 75) + 686 = 9(x - 8) + 810", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 75, \"c\": 686, \"d\": 9, \"e\": 8, \"g\": 810, \"x\": 14}", "seed": "10442600856519541051", "semantic_fingerprint": "sha256:833d127376c722ebc9d3ed0887b62f29bd6aee68bde1300180ca5e6af32149dd", "generator_version": "3.0"}
{"id": "v3_test_id_00004474", "prompt": "Find x: 2(x + 3) - 51 = -45", "solution_steps": ["Expand: 2x + 6 - 51 = -45", "Combine constants: 2x - 45 = -45", "Add 45 to both sides: 2x = 0", "Divide both sides by 2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 3) - 51 = -45", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": 51, \"e\": -45, \"x\": 0}", "seed": "16591078433328740943", "semantic_fingerprint": "sha256:1456e5b2e85bf8a8b4e569e9e56728f62f221974fb511b86b3664fc799dfdf21", "generator_version": "3.0"}
{"id": "v3_test_id_00004475", "prompt": "Calculate: -4 - (2 - (-69 + (-8)))", "solution_steps": ["Add: -69 + (-8) = -77", "Subtract: 2 - (-77) = 79", "Subtract: -4 - 79 = -83"], "final_answer": "-83", "answer_type": "integer", "kind": "expression", "math_text": "-4 - (2 - (-69 + (-8)))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 2, \"c\": -69, \"d\": -8}", "seed": "17282357295288048044", "semantic_fingerprint": "sha256:f850ae9b7bb9573d27ed6d5195c04ee6e4953b5b315af3f1fcb781e6649a673f", "generator_version": "3.0"}
{"id": "v3_test_id_00004476", "prompt": "Calculate: -7 - (7 - 954)", "solution_steps": ["Subtract: 7 - 954 = -947", "Subtract: -7 - (-947) = 940"], "final_answer": "940", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (7 - 954)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 7, \"c\": 954}", "seed": "14703681470746187466", "semantic_fingerprint": "sha256:24f2e7bdcc72f4404a243483c1faf4dce299f99b76ea9759e6945e4d26dda27f", "generator_version": "3.0"}
{"id": "v3_test_id_00004477", "prompt": "Calculate: (0 - (-60) - (-96)) / 9", "solution_steps": ["Subtract: 0 - (-60) = 60", "Subtract: 60 - (-96) = 156", "Divide: 156 / 9 = 52/3"], "final_answer": "52/3", "answer_type": "rational", "kind": "expression", "math_text": "(0 - (-60) - (-96)) / 9", "variable": null, "family": "expression_3op", "shape": "(/ (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -60, \"c\": -96, \"d\": 9}", "seed": "1301317187596007408", "semantic_fingerprint": "sha256:e42643db2121ac7decc91e8bc2fd4afd36bb600985a4dacfea22288e94bc8d52", "generator_version": "3.0"}
{"id": "v3_test_id_00004478", "prompt": "Find x: x - 31 = 11x - 41", "solution_steps": ["Subtract 11x from both sides: -10x - 31 = -41", "Add 31 to both sides: -10x = -10", "Divide both sides by -10: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 31 = 11x - 41", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 11, \"d\": -41, \"x\": 1}", "seed": "15239647476979506283", "semantic_fingerprint": "sha256:3afdaab9eeb6baa88386858a423421d348a3fe53e54f873dfb96a56fd9e1fb61", "generator_version": "3.0"}
{"id": "v3_test_id_00004479", "prompt": "Solve the equation -12x - 4 = -18 for x.", "solution_steps": ["Add 4 to both sides: -12x = -14", "Divide both sides by -12: x = 7/6"], "final_answer": "7/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12x - 4 = -18", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 4, \"c\": -18}", "seed": "13448967575168161228", "semantic_fingerprint": "sha256:b95d0bd24cfc2efe491a205ba1082a741680ed363944aff3669a18b84b991c3d", "generator_version": "3.0"}
{"id": "v3_test_id_00004480", "prompt": "Compute: 17 / ((-639 + (-53 - 61)) / (-3))", "solution_steps": ["Subtract: -53 - 61 = -114", "Add: -639 + (-114) = -753", "Divide: -753 / (-3) = 251", "Divide: 17 / 251 = 17/251"], "final_answer": "17/251", "answer_type": "rational", "kind": "expression", "math_text": "17 / ((-639 + (-53 - 61)) / (-3))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (+ n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": -639, \"c\": -53, \"d\": 61, \"e\": -3}", "seed": "657262689860023951", "semantic_fingerprint": "sha256:57250912c84b736ccf9ebd82868132b0311a7d7cf702456b5047ac877d71f5e1", "generator_version": "3.0"}
{"id": "v3_test_id_00004481", "prompt": "What value of x satisfies 2(x - 48) = 5(x - 57) + 219?", "solution_steps": ["Expand: 2x - 96 = 5(x - 57) + 219", "Expand: 2x - 96 = 5x - 285 + 219", "Combine constants: 2x - 96 = 5x - 66", "Subtract 5x from both sides: -3x - 96 = -66", "Add 96 to both sides: -3x = 30", "Divide both sides by -3: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 48) = 5(x - 57) + 219", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 48, \"c\": 5, \"d\": 57, \"f\": 219, \"x\": -10}", "seed": "16868275374199004883", "semantic_fingerprint": "sha256:70690c3ceac1dbd516c1f8455b36c96efc09213ee7c1be16599bcaf178325147", "generator_version": "3.0"}
{"id": "v3_test_id_00004482", "prompt": "What is (0 - 957 * (-5)) * (1 + 6)?", "solution_steps": ["Multiply: 957 * (-5) = -4785", "Subtract: 0 - (-4785) = 4785", "Add: 1 + 6 = 7", "Multiply: 4785 * 7 = 33495"], "final_answer": "33495", "answer_type": "integer", "kind": "expression", "math_text": "(0 - 957 * (-5)) * (1 + 6)", "variable": null, "family": "expression_4op", "shape": "(* (- n (* n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 957, \"c\": -5, \"d\": 1, \"e\": 6}", "seed": "1702842632287655875", "semantic_fingerprint": "sha256:bebfa8b02ead69c64a7a27f425c56ee75faad0a8c3b5bcf9f513b2be1c342bf4", "generator_version": "3.0"}
{"id": "v3_test_id_00004483", "prompt": "What value of x satisfies x = 4(x + 54) - 222?", "solution_steps": ["Expand: x = 4x + 216 - 222", "Combine constants: x = 4x - 6", "Subtract 4x from both sides: -3x = -6", "Divide both sides by -3: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 4(x + 54) - 222", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 54, \"d\": -222, \"x\": 2}", "seed": "3411767305601619484", "semantic_fingerprint": "sha256:59bdb3a2119e2474227ac66e9aab0015d4da95d909faee784ddbae7f10fe7892", "generator_version": "3.0"}
{"id": "v3_test_id_00004484", "prompt": "Calculate: 0 + 56 + (-61)", "solution_steps": ["Add: 0 + 56 = 56", "Add: 56 + (-61) = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "expression", "math_text": "0 + 56 + (-61)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 56, \"c\": -61}", "seed": "14060431403131143859", "semantic_fingerprint": "sha256:4fcb0d46192d58098cfea3da681304a79a6452913382c2ceaae37c99823161ca", "generator_version": "3.0"}
{"id": "v3_test_id_00004485", "prompt": "Compute: -23 * 8 + (-6) * 805 * 0", "solution_steps": ["Multiply: -23 * 8 = -184", "Multiply: -6 * 805 = -4830", "Multiply: -4830 * 0 = 0", "Add: -184 + 0 = -184"], "final_answer": "-184", "answer_type": "integer", "kind": "expression", "math_text": "-23 * 8 + (-6) * 805 * 0", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": 8, \"c\": -6, \"d\": 805, \"e\": 0}", "seed": "335345644034717658", "semantic_fingerprint": "sha256:b751124bb82f057d95741191ab1e779b0baf955e5817afaeebad4fd659950c31", "generator_version": "3.0"}
{"id": "v3_test_id_00004486", "prompt": "Compute: -6 / 7 + (-1)", "solution_steps": ["Divide: -6 / 7 = -6/7", "Add: -6/7 + (-1) = -13/7"], "final_answer": "-13/7", "answer_type": "rational", "kind": "expression", "math_text": "-6 / 7 + (-1)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 7, \"c\": -1}", "seed": "12306573845328833888", "semantic_fingerprint": "sha256:09fa024e1f136c4b9ec8b8728e0ed67664cad389e26f0f159f39a385eb72e7e4", "generator_version": "3.0"}
{"id": "v3_test_id_00004487", "prompt": "Compute: 250 * (-489 / 1 * (-94 / (8 * 6)))", "solution_steps": ["Divide: -489 / 1 = -489", "Multiply: 8 * 6 = 48", "Divide: -94 / 48 = -47/24", "Multiply: -489 * (-47/24) = 7661/8", "Multiply: 250 * (7661/8) = 957625/4"], "final_answer": "957625/4", "answer_type": "rational", "kind": "expression", "math_text": "250 * (-489 / 1 * (-94 / (8 * 6)))", "variable": null, "family": "expression_5op", "shape": "(* n (* (/ n n) (/ n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 250, \"b\": -489, \"c\": 1, \"d\": -94, \"e\": 8, \"f\": 6}", "seed": "5030137905699441127", "semantic_fingerprint": "sha256:9cc0e40e05d97f72125ac1966b6ead4d7ec6529a3a7ee57d9ead5ea62c676d13", "generator_version": "3.0"}
{"id": "v3_test_id_00004488", "prompt": "What is -12 * 29 - (5 + 7 * (-1) + 5)?", "solution_steps": ["Multiply: -12 * 29 = -348", "Multiply: 7 * (-1) = -7", "Add: 5 + (-7) = -2", "Add: -2 + 5 = 3", "Subtract: -348 - 3 = -351"], "final_answer": "-351", "answer_type": "integer", "kind": "expression", "math_text": "-12 * 29 - (5 + 7 * (-1) + 5)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (+ (+ n (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 29, \"c\": 5, \"d\": 7, \"e\": -1, \"f\": 5}", "seed": "17390899260948282499", "semantic_fingerprint": "sha256:d82dd433e3f386506f4f6c8f8b79820860491ee058f69604b2f0869e57ff47b6", "generator_version": "3.0"}
{"id": "v3_test_id_00004489", "prompt": "Evaluate: (505 * (-9) + (-8)) / 44 - (-941)", "solution_steps": ["Multiply: 505 * (-9) = -4545", "Add: -4545 + (-8) = -4553", "Divide: -4553 / 44 = -4553/44", "Subtract: -4553/44 - (-941) = 36851/44"], "final_answer": "36851/44", "answer_type": "rational", "kind": "expression", "math_text": "(505 * (-9) + (-8)) / 44 - (-941)", "variable": null, "family": "expression_4op", "shape": "(- (/ (+ (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 505, \"b\": -9, \"c\": -8, \"d\": 44, \"e\": -941}", "seed": "13971266158449859342", "semantic_fingerprint": "sha256:4b9016d042435fd7e2d6fbd803e88d2be6a321e8983b2b90e905f9502f28574a", "generator_version": "3.0"}
{"id": "v3_test_id_00004490", "prompt": "Compute: 0 / (-405)", "solution_steps": ["Divide: 0 / (-405) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-405)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -405}", "seed": "395094077096575628", "semantic_fingerprint": "sha256:052149782bcdf96c5c4a6a7a69cda64c538ef0d3c233079f7251e730b9eef3e9", "generator_version": "3.0"}
{"id": "v3_test_id_00004491", "prompt": "What is (957 + (-983)) * (-2 * (613 * (2 - 0)))?", "solution_steps": ["Add: 957 + (-983) = -26", "Subtract: 2 - 0 = 2", "Multiply: 613 * 2 = 1226", "Multiply: -2 * 1226 = -2452", "Multiply: -26 * (-2452) = 63752"], "final_answer": "63752", "answer_type": "integer", "kind": "expression", "math_text": "(957 + (-983)) * (-2 * (613 * (2 - 0)))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (* n (* n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 957, \"b\": -983, \"c\": -2, \"d\": 613, \"e\": 2, \"f\": 0}", "seed": "12712120853587099360", "semantic_fingerprint": "sha256:b687e7ad954ed4aa9e122dce9ae0ab9149a6f174a5650f41ea66bf4fcbc369a4", "generator_version": "3.0"}
{"id": "v3_test_id_00004492", "prompt": "Find x: 5x - 36 = x - 52", "solution_steps": ["Subtract x from both sides: 4x - 36 = -52", "Add 36 to both sides: 4x = -16", "Divide both sides by 4: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 36 = x - 52", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 36, \"d\": -52, \"x\": -4}", "seed": "9981371719133240393", "semantic_fingerprint": "sha256:7f9ddbcef47e6149a60bb776ab10f8330f167402d104c299739d2c8c0b9d5ef5", "generator_version": "3.0"}
{"id": "v3_test_id_00004493", "prompt": "Compute: (-9 + 89) * (-959)", "solution_steps": ["Add: -9 + 89 = 80", "Multiply: 80 * (-959) = -76720"], "final_answer": "-76720", "answer_type": "integer", "kind": "expression", "math_text": "(-9 + 89) * (-959)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 89, \"c\": -959}", "seed": "17351267961113517219", "semantic_fingerprint": "sha256:aff1674172571bf22e7959503a4f748ac0b873d61d3acb62f4a46cd9b7316bfa", "generator_version": "3.0"}
{"id": "v3_test_id_00004494", "prompt": "Calculate: -20 * 527", "solution_steps": ["Multiply: -20 * 527 = -10540"], "final_answer": "-10540", "answer_type": "integer", "kind": "expression", "math_text": "-20 * 527", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": 527}", "seed": "12464744139601552115", "semantic_fingerprint": "sha256:64eaa5a8191e536dacedfe9ada6f2af44c798156ca43782d1992d76b6bd88a1f", "generator_version": "3.0"}
{"id": "v3_test_id_00004495", "prompt": "Solve the equation 3(x + 25) + 508 = 10(x + 66) for x.", "solution_steps": ["Expand: 3x + 75 + 508 = 10(x + 66)", "Expand: 3x + 75 + 508 = 10x + 660", "Combine constants: 3x + 583 = 10x + 660", "Subtract 10x from both sides: -7x + 583 = 660", "Subtract 583 from both sides: -7x = 77", "Divide both sides by -7: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 25) + 508 = 10(x + 66)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 25, \"c\": 10, \"d\": 66, \"f\": 508, \"x\": -11}", "seed": "14371647533434588805", "semantic_fingerprint": "sha256:1b2f71f165470e8ed4746d6f0c45f330460043fe2846f86a997d2b4b797f4f3f", "generator_version": "3.0"}
{"id": "v3_test_id_00004496", "prompt": "What value of x satisfies 9x = 6(x - 66) + 862?", "solution_steps": ["Expand: 9x = 6x - 396 + 862", "Combine constants: 9x = 6x + 466", "Subtract 6x from both sides: 3x = 466", "Divide both sides by 3: x = 466/3"], "final_answer": "466/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x = 6(x - 66) + 862", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 6, \"c\": 66, \"d\": 862}", "seed": "12901431282291120580", "semantic_fingerprint": "sha256:b1975bf300b14372f5ab1e9f861e92844dc5826c699af2e54f3972d5c4d9c747", "generator_version": "3.0"}
{"id": "v3_test_id_00004497", "prompt": "Find x: x - 20 = -8x - 20", "solution_steps": ["Add 8x to both sides: 9x - 20 = -20", "Add 20 to both sides: 9x = 0", "Divide both sides by 9: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 20 = -8x - 20", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 20, \"b\": -8, \"d\": -20, \"x\": 0}", "seed": "12896520232251292100", "semantic_fingerprint": "sha256:9c3bc6af680571b9bc1f51f577d49c852b5d4b42f531b8a3eeb65a63c81b3d0e", "generator_version": "3.0"}
{"id": "v3_test_id_00004498", "prompt": "What is 56 - (-3) - (696 + (-3))?", "solution_steps": ["Subtract: 56 - (-3) = 59", "Add: 696 + (-3) = 693", "Subtract: 59 - 693 = -634"], "final_answer": "-634", "answer_type": "integer", "kind": "expression", "math_text": "56 - (-3) - (696 + (-3))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": -3, \"c\": 696, \"d\": -3}", "seed": "3385488127886361849", "semantic_fingerprint": "sha256:b09b0e433581e27d1eaf2cea158551f3c229527b484162eaa273fef5fccb94b8", "generator_version": "3.0"}
{"id": "v3_test_id_00004499", "prompt": "Compute: 569 + 207", "solution_steps": ["Add: 569 + 207 = 776"], "final_answer": "776", "answer_type": "integer", "kind": "expression", "math_text": "569 + 207", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 569, \"b\": 207}", "seed": "4018613588697687562", "semantic_fingerprint": "sha256:62467c81ec0b818831fb9b66c414368cacf7249a4c38650440505ec696c6e840", "generator_version": "3.0"}
{"id": "v3_test_id_00004500", "prompt": "Compute: (92 - 247) * 412 / (-65 / 56 + 0)", "solution_steps": ["Subtract: 92 - 247 = -155", "Multiply: -155 * 412 = -63860", "Divide: -65 / 56 = -65/56", "Add: -65/56 + 0 = -65/56", "Divide: -63860 / (-65/56) = 715232/13"], "final_answer": "715232/13", "answer_type": "rational", "kind": "expression", "math_text": "(92 - 247) * 412 / (-65 / 56 + 0)", "variable": null, "family": "expression_5op", "shape": "(/ (* (- n n) n) (+ (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": 247, \"c\": 412, \"d\": -65, \"e\": 56, \"f\": 0}", "seed": "17796093369509952493", "semantic_fingerprint": "sha256:918d0e2b640e509125577255b9284a2253711155e5709d8f1e0ec6db54852b58", "generator_version": "3.0"}
{"id": "v3_test_id_00004501", "prompt": "Evaluate: -3 * (-11) / (-550)", "solution_steps": ["Multiply: -3 * (-11) = 33", "Divide: 33 / (-550) = -3/50"], "final_answer": "-3/50", "answer_type": "rational", "kind": "expression", "math_text": "-3 * (-11) / (-550)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -11, \"c\": -550}", "seed": "2376601987724142598", "semantic_fingerprint": "sha256:9234246131bfca7630fa480ffcccd4cdf49fdf6854050c564d2ec123e713168f", "generator_version": "3.0"}
{"id": "v3_test_id_00004502", "prompt": "Compute: 61 - 92 + (-9) * 79", "solution_steps": ["Subtract: 61 - 92 = -31", "Multiply: -9 * 79 = -711", "Add: -31 + (-711) = -742"], "final_answer": "-742", "answer_type": "integer", "kind": "expression", "math_text": "61 - 92 + (-9) * 79", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": 92, \"c\": -9, \"d\": 79}", "seed": "1515193532168687226", "semantic_fingerprint": "sha256:d2bfb6928e8af735746c94e3eece114bc8035c5cf2802c88f660ca5dc212bb19", "generator_version": "3.0"}
{"id": "v3_test_id_00004503", "prompt": "Find x: 10(x + 2) - 120 = 8(x - 9)", "solution_steps": ["Expand: 10x + 20 - 120 = 8(x - 9)", "Expand: 10x + 20 - 120 = 8x - 72", "Combine constants: 10x - 100 = 8x - 72", "Subtract 8x from both sides: 2x - 100 = -72", "Add 100 to both sides: 2x = 28", "Divide both sides by 2: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 2) - 120 = 8(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\": 2, \"c\": 8, \"d\": 9, \"f\": -120, \"x\": 14}", "seed": "10331062877559905521", "semantic_fingerprint": "sha256:d88bb1e194852b5c385afe2f501c35d12dceb29386c72d09471d25b2f4e67d39", "generator_version": "3.0"}
{"id": "v3_test_id_00004504", "prompt": "Evaluate: -235 - (-2) - (4 * (-345) + 8)", "solution_steps": ["Subtract: -235 - (-2) = -233", "Multiply: 4 * (-345) = -1380", "Add: -1380 + 8 = -1372", "Subtract: -233 - (-1372) = 1139"], "final_answer": "1139", "answer_type": "integer", "kind": "expression", "math_text": "-235 - (-2) - (4 * (-345) + 8)", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -235, \"b\": -2, \"c\": 4, \"d\": -345, \"e\": 8}", "seed": "3496704477539454409", "semantic_fingerprint": "sha256:15e5da19f8b8331e7d660b7ba22ef6dffa838a32a3f96073d67c5b952ff689a6", "generator_version": "3.0"}
{"id": "v3_test_id_00004505", "prompt": "Calculate: -61 + (91 + (-3 + 65) - 467)", "solution_steps": ["Add: -3 + 65 = 62", "Add: 91 + 62 = 153", "Subtract: 153 - 467 = -314", "Add: -61 + (-314) = -375"], "final_answer": "-375", "answer_type": "integer", "kind": "expression", "math_text": "-61 + (91 + (-3 + 65) - 467)", "variable": null, "family": "expression_4op", "shape": "(+ n (- (+ n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": 91, \"c\": -3, \"d\": 65, \"e\": 467}", "seed": "11253652455298966948", "semantic_fingerprint": "sha256:1f802f0a4e875874f4ea979f84102990c422e2025886662b7dae6d31f98c42cb", "generator_version": "3.0"}
{"id": "v3_test_id_00004506", "prompt": "Find x: -11x = x + 7", "solution_steps": ["Subtract x from both sides: -12x = 7", "Divide both sides by -12: x = -7/12"], "final_answer": "-7/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11x = x + 7", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 7}", "seed": "3863099940408607219", "semantic_fingerprint": "sha256:33f32c4db9b41fea67d88d21c6b5c199042c97f86171ad84eacde3a8ca7e267b", "generator_version": "3.0"}
{"id": "v3_test_id_00004507", "prompt": "What is 97 + (-7) - (-3)?", "solution_steps": ["Add: 97 + (-7) = 90", "Subtract: 90 - (-3) = 93"], "final_answer": "93", "answer_type": "integer", "kind": "expression", "math_text": "97 + (-7) - (-3)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": -7, \"c\": -3}", "seed": "16304768569662285171", "semantic_fingerprint": "sha256:8805c39209376404c6f9dc33e8385af908c4b0a41f8cf5534915df4c302e8f1b", "generator_version": "3.0"}
{"id": "v3_test_id_00004508", "prompt": "What value of x satisfies x + 85 = 8x?", "solution_steps": ["Subtract 8x from both sides: -7x + 85 = 0", "Subtract 85 from both sides: -7x = -85", "Divide both sides by -7: x = 85/7"], "final_answer": "85/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 85 = 8x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": 8}", "seed": "9461604311280642785", "semantic_fingerprint": "sha256:59fd5deb884ca1f907ab728d6bd3325d47f14f18e027bd2e2b2ffef2523d836b", "generator_version": "3.0"}
{"id": "v3_test_id_00004509", "prompt": "Compute: 39 / 8", "solution_steps": ["Divide: 39 / 8 = 39/8"], "final_answer": "39/8", "answer_type": "rational", "kind": "expression", "math_text": "39 / 8", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 8}", "seed": "4204893846979591944", "semantic_fingerprint": "sha256:c80747baa8d66707a28d656a0d679744ffe03ef64cb0cea0f7e0e6c8181fbc2f", "generator_version": "3.0"}
{"id": "v3_test_id_00004510", "prompt": "Calculate: 52 / 69 * 0", "solution_steps": ["Divide: 52 / 69 = 52/69", "Multiply: (52/69) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "52 / 69 * 0", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 52, \"b\": 69, \"c\": 0}", "seed": "318385979380317832", "semantic_fingerprint": "sha256:dd9f5e7aeb042772019cb84f9fd0cee858f228a387138e0cdb1a39dbc378c3b0", "generator_version": "3.0"}
{"id": "v3_test_id_00004511", "prompt": "What is -68 - 39 / (1 + 160)?", "solution_steps": ["Add: 1 + 160 = 161", "Divide: 39 / 161 = 39/161", "Subtract: -68 - 39/161 = -10987/161"], "final_answer": "-10987/161", "answer_type": "rational", "kind": "expression", "math_text": "-68 - 39 / (1 + 160)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": 39, \"c\": 1, \"d\": 160}", "seed": "8325895383790318105", "semantic_fingerprint": "sha256:2bf0a252140aa9e75cfafbf8265ac5273cb18ac69ae27756331920c40c129997", "generator_version": "3.0"}
{"id": "v3_test_id_00004512", "prompt": "Evaluate: 45 * (-324) / 6 + 315", "solution_steps": ["Multiply: 45 * (-324) = -14580", "Divide: -14580 / 6 = -2430", "Add: -2430 + 315 = -2115"], "final_answer": "-2115", "answer_type": "integer", "kind": "expression", "math_text": "45 * (-324) / 6 + 315", "variable": null, "family": "expression_3op", "shape": "(+ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": -324, \"c\": 6, \"d\": 315}", "seed": "132531519907777616", "semantic_fingerprint": "sha256:172838cf73be84edc72b67f89ee3f41b409607d8b25282e01b660e3c79afc9d1", "generator_version": "3.0"}
{"id": "v3_test_id_00004513", "prompt": "Solve the equation -11(x - 38) - 8 = -12(x + 3) + 463 for x.", "solution_steps": ["Expand: -11x + 418 - 8 = -12(x + 3) + 463", "Expand: -11x + 418 - 8 = -12x - 36 + 463", "Combine constants: -11x + 410 = -12x - 36 + 463", "Combine constants: -11x + 410 = -12x + 427", "Add 12x to both sides: x + 410 = 427", "Subtract 410 from both sides: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 38) - 8 = -12(x + 3) + 463", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 38, \"c\": 8, \"d\": -12, \"e\": 3, \"g\": 463, \"x\": 17}", "seed": "9339985647731170340", "semantic_fingerprint": "sha256:11a8625732788feafb00d581a17435c91c78a5d8fb38aa12603e7497e51f6e23", "generator_version": "3.0"}
{"id": "v3_test_id_00004514", "prompt": "Calculate: -9 + (-511) / (-18)", "solution_steps": ["Divide: -511 / (-18) = 511/18", "Add: -9 + 511/18 = 349/18"], "final_answer": "349/18", "answer_type": "rational", "kind": "expression", "math_text": "-9 + (-511) / (-18)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -511, \"c\": -18}", "seed": "7237135717372106280", "semantic_fingerprint": "sha256:f1fbb9a50710729056a3b9de1410c8b92add2ef4d9db21e3fad3e7d76de1eddf", "generator_version": "3.0"}
{"id": "v3_test_id_00004515", "prompt": "What value of x satisfies x - 80 = 8x - 80?", "solution_steps": ["Subtract 8x from both sides: -7x - 80 = -80", "Add 80 to both sides: -7x = 0", "Divide both sides by -7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 80 = 8x - 80", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": 8, \"d\": -80, \"x\": 0}", "seed": "9762290723071045284", "semantic_fingerprint": "sha256:efa97e6118267c9b8c5c946dd68dee27c2fb3a0c0a17638b989061136cfda203", "generator_version": "3.0"}
{"id": "v3_test_id_00004516", "prompt": "What is 60 * 64?", "solution_steps": ["Multiply: 60 * 64 = 3840"], "final_answer": "3840", "answer_type": "integer", "kind": "expression", "math_text": "60 * 64", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": 64}", "seed": "15239800926790895709", "semantic_fingerprint": "sha256:62ac6cbee6399db080d80e2d734fafabc99a5fd4c4cfda216cf842c6a4f152f9", "generator_version": "3.0"}
{"id": "v3_test_id_00004517", "prompt": "What is (7 - (81 + 0 + (-39))) / (-662)?", "solution_steps": ["Add: 81 + 0 = 81", "Add: 81 + (-39) = 42", "Subtract: 7 - 42 = -35", "Divide: -35 / (-662) = 35/662"], "final_answer": "35/662", "answer_type": "rational", "kind": "expression", "math_text": "(7 - (81 + 0 + (-39))) / (-662)", "variable": null, "family": "expression_4op", "shape": "(/ (- n (+ (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 81, \"c\": 0, \"d\": -39, \"e\": -662}", "seed": "15582093886639620391", "semantic_fingerprint": "sha256:536b63ebc2c4e9dc2a79f762fec8b9c4a269dc4d8999cb73126b44a8d7b2a7cc", "generator_version": "3.0"}
{"id": "v3_test_id_00004518", "prompt": "Compute: 51 * 42 * ((-8 - 4) / (-316))", "solution_steps": ["Multiply: 51 * 42 = 2142", "Subtract: -8 - 4 = -12", "Divide: -12 / (-316) = 3/79", "Multiply: 2142 * (3/79) = 6426/79"], "final_answer": "6426/79", "answer_type": "rational", "kind": "expression", "math_text": "51 * 42 * ((-8 - 4) / (-316))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 42, \"c\": -8, \"d\": 4, \"e\": -316}", "seed": "14119860458968250367", "semantic_fingerprint": "sha256:9617e1b832b705720212897ee53921632991034e97fb1df92f7f362d4d8a4dee", "generator_version": "3.0"}
{"id": "v3_test_id_00004519", "prompt": "What is 40 * (-9 + (-627))?", "solution_steps": ["Add: -9 + (-627) = -636", "Multiply: 40 * (-636) = -25440"], "final_answer": "-25440", "answer_type": "integer", "kind": "expression", "math_text": "40 * (-9 + (-627))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": -9, \"c\": -627}", "seed": "15456856792769698427", "semantic_fingerprint": "sha256:8f6cbd2052fcbe147c17ab12df6f43985ac2462f7c6f3ffb9f89bec8a6b802dd", "generator_version": "3.0"}
{"id": "v3_test_id_00004520", "prompt": "What value of x satisfies -2(x + 6) = -9(x + 61) + 44?", "solution_steps": ["Expand: -2x - 12 = -9(x + 61) + 44", "Expand: -2x - 12 = -9x - 549 + 44", "Combine constants: -2x - 12 = -9x - 505", "Add 9x to both sides: 7x - 12 = -505", "Add 12 to both sides: 7x = -493", "Divide both sides by 7: x = -493/7"], "final_answer": "-493/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x + 6) = -9(x + 61) + 44", "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\": -9, \"d\": 61, \"e\": 44}", "seed": "13648287926138749507", "semantic_fingerprint": "sha256:c6c35b4043ab58a8e669260984f638ed85fc63a0f73b14267cfbfec0e1560c97", "generator_version": "3.0"}
{"id": "v3_test_id_00004521", "prompt": "Solve for x: x + 7 = 5(x - 53) + 316", "solution_steps": ["Expand: x + 7 = 5x - 265 + 316", "Combine constants: x + 7 = 5x + 51", "Subtract 5x from both sides: -4x + 7 = 51", "Subtract 7 from both sides: -4x = 44", "Divide both sides by -4: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 7 = 5(x - 53) + 316", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 53, \"e\": 316, \"x\": -11}", "seed": "6499445281561578555", "semantic_fingerprint": "sha256:a45850356ba77cf16cf2fe42352535078d8ffe9aa794d9a526bec6cb669c9210", "generator_version": "3.0"}
{"id": "v3_test_id_00004522", "prompt": "Find x: x - 61 = 7(x + 7) - 194", "solution_steps": ["Expand: x - 61 = 7x + 49 - 194", "Combine constants: x - 61 = 7x - 145", "Subtract 7x from both sides: -6x - 61 = -145", "Add 61 to both sides: -6x = -84", "Divide both sides by -6: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 61 = 7(x + 7) - 194", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": 7, \"c\": 7, \"e\": -194, \"x\": 14}", "seed": "15279452774586976186", "semantic_fingerprint": "sha256:2a2c39bcc96e902ddea96ba474708ec2376cee64e54871f0127112f724e7493a", "generator_version": "3.0"}
{"id": "v3_test_id_00004523", "prompt": "What is -9 * (-5 * (2 / (-88 / (-7 - (-37)))))?", "solution_steps": ["Subtract: -7 - (-37) = 30", "Divide: -88 / 30 = -44/15", "Divide: 2 / (-44/15) = -15/22", "Multiply: -5 * (-15/22) = 75/22", "Multiply: -9 * (75/22) = -675/22"], "final_answer": "-675/22", "answer_type": "rational", "kind": "expression", "math_text": "-9 * (-5 * (2 / (-88 / (-7 - (-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\": 2, \"d\": -88, \"e\": -7, \"f\": -37}", "seed": "15916475359422338441", "semantic_fingerprint": "sha256:c129c18bd91211fcb334a618803d4d10dd4d834dbeb736b1a6e8189f8241e8c5", "generator_version": "3.0"}
{"id": "v3_test_id_00004524", "prompt": "What is (366 - (-8 - (-66))) * (-111 / (-518))?", "solution_steps": ["Subtract: -8 - (-66) = 58", "Subtract: 366 - 58 = 308", "Divide: -111 / (-518) = 3/14", "Multiply: 308 * (3/14) = 66"], "final_answer": "66", "answer_type": "integer", "kind": "expression", "math_text": "(366 - (-8 - (-66))) * (-111 / (-518))", "variable": null, "family": "expression_4op", "shape": "(* (- n (- n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 366, \"b\": -8, \"c\": -66, \"d\": -111, \"e\": -518}", "seed": "17772754919864777398", "semantic_fingerprint": "sha256:3ea565cf74c3395db09c68cff7e061b3e13d9cdc2592b553de665dd02e1ac979", "generator_version": "3.0"}
{"id": "v3_test_id_00004525", "prompt": "Calculate: 80 * (-7 + (-9 + (-80 - (-6))) - 2)", "solution_steps": ["Subtract: -80 - (-6) = -74", "Add: -9 + (-74) = -83", "Add: -7 + (-83) = -90", "Subtract: -90 - 2 = -92", "Multiply: 80 * (-92) = -7360"], "final_answer": "-7360", "answer_type": "integer", "kind": "expression", "math_text": "80 * (-7 + (-9 + (-80 - (-6))) - 2)", "variable": null, "family": "expression_5op", "shape": "(* n (- (+ n (+ n (- n n))) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": -7, \"c\": -9, \"d\": -80, \"e\": -6, \"f\": 2}", "seed": "14097545268372055562", "semantic_fingerprint": "sha256:24a2a2bafa6c89123857ff442622fe06d765e9401e5b55b4f9c29b16d52edadd", "generator_version": "3.0"}
{"id": "v3_test_id_00004526", "prompt": "Solve the equation 5(x - 5) = x + 35 for x.", "solution_steps": ["Expand: 5x - 25 = x + 35", "Subtract x from both sides: 4x - 25 = 35", "Add 25 to both sides: 4x = 60", "Divide both sides by 4: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 5) = x + 35", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 5, \"c\": 35}", "seed": "15513705082130293177", "semantic_fingerprint": "sha256:35387b9816aa5c391428aa2514250b7e9f9bce47c81e555a995ab995fcd73bd0", "generator_version": "3.0"}
{"id": "v3_test_id_00004527", "prompt": "Evaluate: -3 - (-5 + (-946) + 21) / 98", "solution_steps": ["Add: -5 + (-946) = -951", "Add: -951 + 21 = -930", "Divide: -930 / 98 = -465/49", "Subtract: -3 - (-465/49) = 318/49"], "final_answer": "318/49", "answer_type": "rational", "kind": "expression", "math_text": "-3 - (-5 + (-946) + 21) / 98", "variable": null, "family": "expression_4op", "shape": "(- n (/ (+ (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -5, \"c\": -946, \"d\": 21, \"e\": 98}", "seed": "11272775166565449175", "semantic_fingerprint": "sha256:2db3e15a6d42c20416a10ab4f896b604aecba1198ddfc29ae928f6c3b8d881b0", "generator_version": "3.0"}
{"id": "v3_test_id_00004528", "prompt": "Calculate: 382 + (-7)", "solution_steps": ["Add: 382 + (-7) = 375"], "final_answer": "375", "answer_type": "integer", "kind": "expression", "math_text": "382 + (-7)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 382, \"b\": -7}", "seed": "13562088278217587146", "semantic_fingerprint": "sha256:08e3fbb238b8cc3b3240cce700342baf59595efd238e31513309608b596338c5", "generator_version": "3.0"}
{"id": "v3_test_id_00004529", "prompt": "Calculate: -57 * (11 / 9 * (59 * (-84) * 0))", "solution_steps": ["Divide: 11 / 9 = 11/9", "Multiply: 59 * (-84) = -4956", "Multiply: -4956 * 0 = 0", "Multiply: (11/9) * 0 = 0", "Multiply: -57 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-57 * (11 / 9 * (59 * (-84) * 0))", "variable": null, "family": "expression_5op", "shape": "(* n (* (/ n n) (* (* n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": 11, \"c\": 9, \"d\": 59, \"e\": -84, \"f\": 0}", "seed": "8842253596114661645", "semantic_fingerprint": "sha256:d678cf132b661fecf2b52a26258a43ecce731536db22b38fb6050d44c4cafe99", "generator_version": "3.0"}
{"id": "v3_test_id_00004530", "prompt": "Calculate: (2 - (-8) / (-6 - (-89))) * (-7 - (-97))", "solution_steps": ["Subtract: -6 - (-89) = 83", "Divide: -8 / 83 = -8/83", "Subtract: 2 - (-8/83) = 174/83", "Subtract: -7 - (-97) = 90", "Multiply: (174/83) * 90 = 15660/83"], "final_answer": "15660/83", "answer_type": "rational", "kind": "expression", "math_text": "(2 - (-8) / (-6 - (-89))) * (-7 - (-97))", "variable": null, "family": "expression_5op", "shape": "(* (- n (/ n (- n n))) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -8, \"c\": -6, \"d\": -89, \"e\": -7, \"f\": -97}", "seed": "1936509404861134720", "semantic_fingerprint": "sha256:c4f1e3792b4d804502861ce9ec6d55dd097582c24a59fff5933943053b75bc97", "generator_version": "3.0"}
{"id": "v3_test_id_00004531", "prompt": "Evaluate: 77 - (-1) - 87 * 910", "solution_steps": ["Subtract: 77 - (-1) = 78", "Multiply: 87 * 910 = 79170", "Subtract: 78 - 79170 = -79092"], "final_answer": "-79092", "answer_type": "integer", "kind": "expression", "math_text": "77 - (-1) - 87 * 910", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 77, \"b\": -1, \"c\": 87, \"d\": 910}", "seed": "15365259011322209262", "semantic_fingerprint": "sha256:95a6c7f8c6c80a90d200b36f764a92c8acdfca15422c089f1af03a2b6f3bae47", "generator_version": "3.0"}
{"id": "v3_test_id_00004532", "prompt": "Evaluate: -256 / (-69) * (4 / (-69 - (-21)))", "solution_steps": ["Divide: -256 / (-69) = 256/69", "Subtract: -69 - (-21) = -48", "Divide: 4 / (-48) = -1/12", "Multiply: (256/69) * (-1/12) = -64/207"], "final_answer": "-64/207", "answer_type": "rational", "kind": "expression", "math_text": "-256 / (-69) * (4 / (-69 - (-21)))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -256, \"b\": -69, \"c\": 4, \"d\": -69, \"e\": -21}", "seed": "18093662380693831185", "semantic_fingerprint": "sha256:c7a19f176867ba35e4fe5b4cd21562aea0542223c15b5629e25b91cc5a248008", "generator_version": "3.0"}
{"id": "v3_test_id_00004533", "prompt": "Find x: x + 516 = 12(x + 903) + 887", "solution_steps": ["Expand: x + 516 = 12x + 10836 + 887", "Combine constants: x + 516 = 12x + 11723", "Subtract 12x from both sides: -11x + 516 = 11723", "Subtract 516 from both sides: -11x = 11207", "Divide both sides by -11: x = -11207/11"], "final_answer": "-11207/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 516 = 12(x + 903) + 887", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 516, \"b\": 12, \"c\": 903, \"d\": 887}", "seed": "6377645881786945401", "semantic_fingerprint": "sha256:f617b9b3c651fa9f08fe41ed517a19ab31b87e8bba2db3a24f5479a22568805d", "generator_version": "3.0"}
{"id": "v3_test_id_00004534", "prompt": "Solve for x: 6x - 3 = 7(x + 8)", "solution_steps": ["Expand: 6x - 3 = 7x + 56", "Subtract 7x from both sides: -x - 3 = 56", "Add 3 to both sides: -x = 59", "Divide both sides by -1: x = -59"], "final_answer": "-59", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 3 = 7(x + 8)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 7, \"d\": 8}", "seed": "11678522575568142035", "semantic_fingerprint": "sha256:9051c2aa8c57e42787b0367d1298e59b6622cb323197131977ffb5d1640377a5", "generator_version": "3.0"}
{"id": "v3_test_id_00004535", "prompt": "Compute: -67 / 7 - 15 * 847", "solution_steps": ["Divide: -67 / 7 = -67/7", "Multiply: 15 * 847 = 12705", "Subtract: -67/7 - 12705 = -89002/7"], "final_answer": "-89002/7", "answer_type": "rational", "kind": "expression", "math_text": "-67 / 7 - 15 * 847", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": 7, \"c\": 15, \"d\": 847}", "seed": "4167921276499557530", "semantic_fingerprint": "sha256:fa505d0ffb56fdec5305a009cc2c1e1793e63c50d5dde601cfe6d7066c03eced", "generator_version": "3.0"}
{"id": "v3_test_id_00004536", "prompt": "Compute: 15 * (-7 + (4 * 8 + 189))", "solution_steps": ["Multiply: 4 * 8 = 32", "Add: 32 + 189 = 221", "Add: -7 + 221 = 214", "Multiply: 15 * 214 = 3210"], "final_answer": "3210", "answer_type": "integer", "kind": "expression", "math_text": "15 * (-7 + (4 * 8 + 189))", "variable": null, "family": "expression_4op", "shape": "(* n (+ n (+ (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": -7, \"c\": 4, \"d\": 8, \"e\": 189}", "seed": "16459691216575492363", "semantic_fingerprint": "sha256:72503ba4e584543f82293b42099376249ed3cc298637aa1c0e474c0f8804314a", "generator_version": "3.0"}
{"id": "v3_test_id_00004537", "prompt": "What is 53 / (-3 / (4 - (-6 + 440)))?", "solution_steps": ["Add: -6 + 440 = 434", "Subtract: 4 - 434 = -430", "Divide: -3 / (-430) = 3/430", "Divide: 53 / (3/430) = 22790/3"], "final_answer": "22790/3", "answer_type": "rational", "kind": "expression", "math_text": "53 / (-3 / (4 - (-6 + 440)))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ n (- n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": -3, \"c\": 4, \"d\": -6, \"e\": 440}", "seed": "10797942095708221861", "semantic_fingerprint": "sha256:0db6020b7eda6fb13c372163933e4768187c64c4633ae23a7b75bc4b9c57303d", "generator_version": "3.0"}
{"id": "v3_test_id_00004538", "prompt": "Compute: -784 + 1", "solution_steps": ["Add: -784 + 1 = -783"], "final_answer": "-783", "answer_type": "integer", "kind": "expression", "math_text": "-784 + 1", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -784, \"b\": 1}", "seed": "14104463001842304527", "semantic_fingerprint": "sha256:4176ab2fbe53d4a182d1b2e6592f077fb1a84a9523d8ea369397f9239fc4960d", "generator_version": "3.0"}
{"id": "v3_test_id_00004539", "prompt": "Compute: 43 + (-62) - (-40)", "solution_steps": ["Add: 43 + (-62) = -19", "Subtract: -19 - (-40) = 21"], "final_answer": "21", "answer_type": "integer", "kind": "expression", "math_text": "43 + (-62) - (-40)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": -62, \"c\": -40}", "seed": "13178625671664025331", "semantic_fingerprint": "sha256:2376e3dfcfc344a463a32f70622e94baec3bd346c2116a9c6f7b3b7b22a459f9", "generator_version": "3.0"}
{"id": "v3_test_id_00004540", "prompt": "Evaluate: (64 + (96 - 356)) * (-16 * 19)", "solution_steps": ["Subtract: 96 - 356 = -260", "Add: 64 + (-260) = -196", "Multiply: -16 * 19 = -304", "Multiply: -196 * (-304) = 59584"], "final_answer": "59584", "answer_type": "integer", "kind": "expression", "math_text": "(64 + (96 - 356)) * (-16 * 19)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": 96, \"c\": 356, \"d\": -16, \"e\": 19}", "seed": "12584104262498620152", "semantic_fingerprint": "sha256:6a16c56f3d9e916c11a939eb45d98701e8cfd59d32e5ea5ee193a0d918002cb7", "generator_version": "3.0"}
{"id": "v3_test_id_00004541", "prompt": "Evaluate: 893 + (-7) / 738", "solution_steps": ["Divide: -7 / 738 = -7/738", "Add: 893 + (-7/738) = 659027/738"], "final_answer": "659027/738", "answer_type": "rational", "kind": "expression", "math_text": "893 + (-7) / 738", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 893, \"b\": -7, \"c\": 738}", "seed": "9989985889099913871", "semantic_fingerprint": "sha256:6824c6241a143b40153ee471fe663286de95a096ba57d8a9dcb95e0786b7f18a", "generator_version": "3.0"}
{"id": "v3_test_id_00004542", "prompt": "Calculate: 829 + 63", "solution_steps": ["Add: 829 + 63 = 892"], "final_answer": "892", "answer_type": "integer", "kind": "expression", "math_text": "829 + 63", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 829, \"b\": 63}", "seed": "17697950287127690014", "semantic_fingerprint": "sha256:563820add9195b0e7e6deb57fd168d0c84516c42ee1be5d4e03ed7f957cd3db4", "generator_version": "3.0"}
{"id": "v3_test_id_00004543", "prompt": "Find x: 6(x - 3) = 2(x - 88) - 26", "solution_steps": ["Expand: 6x - 18 = 2(x - 88) - 26", "Expand: 6x - 18 = 2x - 176 - 26", "Combine constants: 6x - 18 = 2x - 202", "Subtract 2x from both sides: 4x - 18 = -202", "Add 18 to both sides: 4x = -184", "Divide both sides by 4: x = -46"], "final_answer": "-46", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 3) = 2(x - 88) - 26", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 2, \"d\": 88, \"e\": 26}", "seed": "2652026933285940881", "semantic_fingerprint": "sha256:2d97e652dd1b9a7569d77945541b71b3c4928429a2b16f822c01b0798bb5ce9b", "generator_version": "3.0"}
{"id": "v3_test_id_00004544", "prompt": "Find x: 3(x + 36) + 7 = -7(x + 57) + 25", "solution_steps": ["Expand: 3x + 108 + 7 = -7(x + 57) + 25", "Expand: 3x + 108 + 7 = -7x - 399 + 25", "Combine constants: 3x + 115 = -7x - 399 + 25", "Combine constants: 3x + 115 = -7x - 374", "Add 7x to both sides: 10x + 115 = -374", "Subtract 115 from both sides: 10x = -489", "Divide both sides by 10: x = -489/10"], "final_answer": "-489/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 36) + 7 = -7(x + 57) + 25", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 36, \"c\": 7, \"d\": -7, \"e\": 57, \"f\": 25}", "seed": "16584605470215801208", "semantic_fingerprint": "sha256:754152bdd4e21f8016661352d3501dce93fff02e5584d3e8f5949987bf8ec52c", "generator_version": "3.0"}
{"id": "v3_test_id_00004545", "prompt": "Evaluate: 54 + (-657) + 2", "solution_steps": ["Add: 54 + (-657) = -603", "Add: -603 + 2 = -601"], "final_answer": "-601", "answer_type": "integer", "kind": "expression", "math_text": "54 + (-657) + 2", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": -657, \"c\": 2}", "seed": "2191433316272798089", "semantic_fingerprint": "sha256:30d8bb30a0275e27ee7b4b2ecff147c928941099917e7dc57257c5f1c42a1931", "generator_version": "3.0"}
{"id": "v3_test_id_00004546", "prompt": "What is -10 / (843 + 72)?", "solution_steps": ["Add: 843 + 72 = 915", "Divide: -10 / 915 = -2/183"], "final_answer": "-2/183", "answer_type": "rational", "kind": "expression", "math_text": "-10 / (843 + 72)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 843, \"c\": 72}", "seed": "11595632124975946185", "semantic_fingerprint": "sha256:39d546eb30c35ada5151c5dafccec8a849fef2becf4d0feb9a645bda9f3b3ea7", "generator_version": "3.0"}
{"id": "v3_test_id_00004547", "prompt": "Solve the equation 4(x + 52) - 57 = 6(x + 5) + 121 for x.", "solution_steps": ["Expand: 4x + 208 - 57 = 6(x + 5) + 121", "Expand: 4x + 208 - 57 = 6x + 30 + 121", "Combine constants: 4x + 151 = 6x + 30 + 121", "Combine constants: 4x + 151 = 6x + 151", "Subtract 6x from both sides: -2x + 151 = 151", "Subtract 151 from both sides: -2x = 0", "Divide both sides by -2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 52) - 57 = 6(x + 5) + 121", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 52, \"c\": 57, \"d\": 6, \"e\": 5, \"g\": 121, \"x\": 0}", "seed": "12167911659458508239", "semantic_fingerprint": "sha256:80ddf8a97099f4a7e085fc92c606f0b6ae7af2a5f723a00f5f8b8c471ccf348c", "generator_version": "3.0"}
{"id": "v3_test_id_00004548", "prompt": "What is 217 + (-7 + 657) - (0 + (-31))?", "solution_steps": ["Add: -7 + 657 = 650", "Add: 217 + 650 = 867", "Add: 0 + (-31) = -31", "Subtract: 867 - (-31) = 898"], "final_answer": "898", "answer_type": "integer", "kind": "expression", "math_text": "217 + (-7 + 657) - (0 + (-31))", "variable": null, "family": "expression_4op", "shape": "(- (+ n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 217, \"b\": -7, \"c\": 657, \"d\": 0, \"e\": -31}", "seed": "9699336001257367026", "semantic_fingerprint": "sha256:0f86c90914b5bc7b9f0df4fd68db7c11dd8bef771f62fd34dfbedf165907497e", "generator_version": "3.0"}
{"id": "v3_test_id_00004549", "prompt": "Solve for x: -9(x - 5) = x - 5", "solution_steps": ["Expand: -9x + 45 = x - 5", "Subtract x from both sides: -10x + 45 = -5", "Subtract 45 from both sides: -10x = -50", "Divide both sides by -10: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 5) = x - 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 5, \"d\": -5, \"x\": 5}", "seed": "16632657461583132699", "semantic_fingerprint": "sha256:1644388cc55bb5fae59e7c09bb8094694937612704df16b06eba110b65638d58", "generator_version": "3.0"}
{"id": "v3_test_id_00004550", "prompt": "Compute: 716 / (-30 - (-29)) * 12", "solution_steps": ["Subtract: -30 - (-29) = -1", "Divide: 716 / (-1) = -716", "Multiply: -716 * 12 = -8592"], "final_answer": "-8592", "answer_type": "integer", "kind": "expression", "math_text": "716 / (-30 - (-29)) * 12", "variable": null, "family": "expression_3op", "shape": "(* (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 716, \"b\": -30, \"c\": -29, \"d\": 12}", "seed": "11138122559276304830", "semantic_fingerprint": "sha256:06c215f72232d2279535c30bd79dc6abd815c28aa7916edbeafa4cfb166fe861", "generator_version": "3.0"}
{"id": "v3_test_id_00004551", "prompt": "Calculate: -63 + 2 + (-523) / (31 - (-1))", "solution_steps": ["Add: -63 + 2 = -61", "Subtract: 31 - (-1) = 32", "Divide: -523 / 32 = -523/32", "Add: -61 + (-523/32) = -2475/32"], "final_answer": "-2475/32", "answer_type": "rational", "kind": "expression", "math_text": "-63 + 2 + (-523) / (31 - (-1))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": 2, \"c\": -523, \"d\": 31, \"e\": -1}", "seed": "11305734987298439349", "semantic_fingerprint": "sha256:77fda62bb6b1593c519e6fb322dc9bb8c89a6ec7f5c46b7d467e8d2e6a581e24", "generator_version": "3.0"}
{"id": "v3_test_id_00004552", "prompt": "Find x: 3(x - 16) - 93 = 12x - 9", "solution_steps": ["Expand: 3x - 48 - 93 = 12x - 9", "Combine constants: 3x - 141 = 12x - 9", "Subtract 12x from both sides: -9x - 141 = -9", "Add 141 to both sides: -9x = 132", "Divide both sides by -9: x = -44/3"], "final_answer": "-44/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 16) - 93 = 12x - 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 16, \"c\": 93, \"d\": 12, \"e\": 9}", "seed": "980019777935584417", "semantic_fingerprint": "sha256:7ce0ebb19fdcc447900589102f693a5a153b3c5bd300782f69ee56533338cdb5", "generator_version": "3.0"}
{"id": "v3_test_id_00004553", "prompt": "What is (3 + 997) * (-799)?", "solution_steps": ["Add: 3 + 997 = 1000", "Multiply: 1000 * (-799) = -799000"], "final_answer": "-799000", "answer_type": "integer", "kind": "expression", "math_text": "(3 + 997) * (-799)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 997, \"c\": -799}", "seed": "13375622387913875849", "semantic_fingerprint": "sha256:29722d7cecc8383ccefc1bbee959dea8ba1f1fa10dbb9702c204bcb335b7411f", "generator_version": "3.0"}
{"id": "v3_test_id_00004554", "prompt": "What value of x satisfies 3x = 5(x - 73) + 327?", "solution_steps": ["Expand: 3x = 5x - 365 + 327", "Combine constants: 3x = 5x - 38", "Subtract 5x from both sides: -2x = -38", "Divide both sides by -2: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 5(x - 73) + 327", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 5, \"c\": 73, \"e\": 327, \"x\": 19}", "seed": "7663476578125838228", "semantic_fingerprint": "sha256:99deae95d06f670e96637f04c52204b86522e70b861d458025ff319b1afdfb4c", "generator_version": "3.0"}
{"id": "v3_test_id_00004555", "prompt": "What value of x satisfies 5(x - 4) + 2 = -8x - 122?", "solution_steps": ["Expand: 5x - 20 + 2 = -8x - 122", "Combine constants: 5x - 18 = -8x - 122", "Add 8x to both sides: 13x - 18 = -122", "Add 18 to both sides: 13x = -104", "Divide both sides by 13: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 4) + 2 = -8x - 122", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": 2, \"d\": -8, \"f\": -122, \"x\": -8}", "seed": "8132473227303497850", "semantic_fingerprint": "sha256:404c86d03f51cea2b47571a0e8113f8a9aa84303caffc1c64fc95efcc0424992", "generator_version": "3.0"}
{"id": "v3_test_id_00004556", "prompt": "Evaluate: (54 + (-31)) * (-6 - 0) + (-11)", "solution_steps": ["Add: 54 + (-31) = 23", "Subtract: -6 - 0 = -6", "Multiply: 23 * (-6) = -138", "Add: -138 + (-11) = -149"], "final_answer": "-149", "answer_type": "integer", "kind": "expression", "math_text": "(54 + (-31)) * (-6 - 0) + (-11)", "variable": null, "family": "expression_4op", "shape": "(+ (* (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": -31, \"c\": -6, \"d\": 0, \"e\": -11}", "seed": "12855473276036925123", "semantic_fingerprint": "sha256:adf63bdea604cf13b2c8f837951db203030f5e59719e8645e66774afb7a3cab4", "generator_version": "3.0"}
{"id": "v3_test_id_00004557", "prompt": "Evaluate: -53 + (9 - 6) + 14 / (-1)", "solution_steps": ["Subtract: 9 - 6 = 3", "Add: -53 + 3 = -50", "Divide: 14 / (-1) = -14", "Add: -50 + (-14) = -64"], "final_answer": "-64", "answer_type": "integer", "kind": "expression", "math_text": "-53 + (9 - 6) + 14 / (-1)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": 9, \"c\": 6, \"d\": 14, \"e\": -1}", "seed": "4146550631195872443", "semantic_fingerprint": "sha256:4dabbae85cd22a642c993fd8fb9720c6d05ecb8a56ac31d884f7fdf92202fe8e", "generator_version": "3.0"}
{"id": "v3_test_id_00004558", "prompt": "What is -452 / (0 - 220)?", "solution_steps": ["Subtract: 0 - 220 = -220", "Divide: -452 / (-220) = 113/55"], "final_answer": "113/55", "answer_type": "rational", "kind": "expression", "math_text": "-452 / (0 - 220)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -452, \"b\": 0, \"c\": 220}", "seed": "3379567208473877116", "semantic_fingerprint": "sha256:78ee8a693473f447adf95da1b4e32136d4e907e64a783fba046f9034c3e92e60", "generator_version": "3.0"}
{"id": "v3_test_id_00004559", "prompt": "Calculate: 2 - 69 / (-25) + 412", "solution_steps": ["Divide: 69 / (-25) = -69/25", "Subtract: 2 - (-69/25) = 119/25", "Add: 119/25 + 412 = 10419/25"], "final_answer": "10419/25", "answer_type": "rational", "kind": "expression", "math_text": "2 - 69 / (-25) + 412", "variable": null, "family": "expression_3op", "shape": "(+ (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 69, \"c\": -25, \"d\": 412}", "seed": "12505907373408635413", "semantic_fingerprint": "sha256:c200ff5947da89af954c318c05860ed8f978c3179d253ddfc857622c12cc74a2", "generator_version": "3.0"}
{"id": "v3_test_id_00004560", "prompt": "Solve the equation 10x - 584 = 8(x + 6) for x.", "solution_steps": ["Expand: 10x - 584 = 8x + 48", "Subtract 8x from both sides: 2x - 584 = 48", "Add 584 to both sides: 2x = 632", "Divide both sides by 2: x = 316"], "final_answer": "316", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 584 = 8(x + 6)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 584, \"c\": 8, \"d\": 6}", "seed": "18353888592046745116", "semantic_fingerprint": "sha256:4d9368967efa72a2165384855bafd418d45933bc538dac88d0e5b06e92e3933c", "generator_version": "3.0"}
{"id": "v3_test_id_00004561", "prompt": "What value of x satisfies -2(x + 718) + 38 = x - 294?", "solution_steps": ["Expand: -2x - 1436 + 38 = x - 294", "Combine constants: -2x - 1398 = x - 294", "Subtract x from both sides: -3x - 1398 = -294", "Add 1398 to both sides: -3x = 1104", "Divide both sides by -3: x = -368"], "final_answer": "-368", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 718) + 38 = x - 294", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 718, \"c\": 38, \"d\": 294}", "seed": "10972341894958770869", "semantic_fingerprint": "sha256:f73fcd1090a5d8a43ce2cdc56ee31657fe2b2e9bda66628702ea8f72ce8466cf", "generator_version": "3.0"}
{"id": "v3_test_id_00004562", "prompt": "Find x: x + 168 = -11x", "solution_steps": ["Add 11x to both sides: 12x + 168 = 0", "Subtract 168 from both sides: 12x = -168", "Divide both sides by 12: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 168 = -11x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -11, \"c\": 168, \"x\": -14}", "seed": "2081225908540470987", "semantic_fingerprint": "sha256:c611c57ce10652e7303c775fce22cff64a64afd6fef76367e9f5a40f6a52a25b", "generator_version": "3.0"}
{"id": "v3_test_id_00004563", "prompt": "Evaluate: 76 - ((-33 + (-605)) / (66 - (-65)) + (-6))", "solution_steps": ["Add: -33 + (-605) = -638", "Subtract: 66 - (-65) = 131", "Divide: -638 / 131 = -638/131", "Add: -638/131 + (-6) = -1424/131", "Subtract: 76 - (-1424/131) = 11380/131"], "final_answer": "11380/131", "answer_type": "rational", "kind": "expression", "math_text": "76 - ((-33 + (-605)) / (66 - (-65)) + (-6))", "variable": null, "family": "expression_5op", "shape": "(- n (+ (/ (+ n n) (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": -33, \"c\": -605, \"d\": 66, \"e\": -65, \"f\": -6}", "seed": "1190731494277645083", "semantic_fingerprint": "sha256:d1c76d8bfb972f7ba57ba0ee918683a5d18210b3912c62e88901823b7ab1e642", "generator_version": "3.0"}
{"id": "v3_test_id_00004564", "prompt": "Compute: (-7 - (-351 - 524)) * 4", "solution_steps": ["Subtract: -351 - 524 = -875", "Subtract: -7 - (-875) = 868", "Multiply: 868 * 4 = 3472"], "final_answer": "3472", "answer_type": "integer", "kind": "expression", "math_text": "(-7 - (-351 - 524)) * 4", "variable": null, "family": "expression_3op", "shape": "(* (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -351, \"c\": 524, \"d\": 4}", "seed": "11600799002368234864", "semantic_fingerprint": "sha256:79d6782d9e63792e1f1c6e9f3a3c112b93dca4a6ee8662b833c1822c616a5e7d", "generator_version": "3.0"}
{"id": "v3_test_id_00004565", "prompt": "Find x: 2x + 127 = x + 164", "solution_steps": ["Subtract x from both sides: x + 127 = 164", "Subtract 127 from both sides: x = 37"], "final_answer": "37", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x + 127 = x + 164", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 127, \"c\": 164}", "seed": "7215034266343324453", "semantic_fingerprint": "sha256:5d9d90ba73b34d149d3e653808689fe9c90d744257f5f24f3127f8afd44550c9", "generator_version": "3.0"}
{"id": "v3_test_id_00004566", "prompt": "Solve the equation x - 644 = 12(x + 46) + 65 for x.", "solution_steps": ["Expand: x - 644 = 12x + 552 + 65", "Combine constants: x - 644 = 12x + 617", "Subtract 12x from both sides: -11x - 644 = 617", "Add 644 to both sides: -11x = 1261", "Divide both sides by -11: x = -1261/11"], "final_answer": "-1261/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 644 = 12(x + 46) + 65", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 644, \"b\": 12, \"c\": 46, \"d\": 65}", "seed": "4429099659012817693", "semantic_fingerprint": "sha256:9601be7153c93082c3ac819d957528ea070732ffc3b29031cc018d003f022cdd", "generator_version": "3.0"}
{"id": "v3_test_id_00004567", "prompt": "Evaluate: (-306 - 9) / 33 * 54", "solution_steps": ["Subtract: -306 - 9 = -315", "Divide: -315 / 33 = -105/11", "Multiply: (-105/11) * 54 = -5670/11"], "final_answer": "-5670/11", "answer_type": "rational", "kind": "expression", "math_text": "(-306 - 9) / 33 * 54", "variable": null, "family": "expression_3op", "shape": "(* (/ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -306, \"b\": 9, \"c\": 33, \"d\": 54}", "seed": "4169616473777870695", "semantic_fingerprint": "sha256:5f946289e646cfc1664248bec5d5509c028b1ad5a20ed161065b0769c424b555", "generator_version": "3.0"}
{"id": "v3_test_id_00004568", "prompt": "Compute: 101 / (-771 + (-88))", "solution_steps": ["Add: -771 + (-88) = -859", "Divide: 101 / (-859) = -101/859"], "final_answer": "-101/859", "answer_type": "rational", "kind": "expression", "math_text": "101 / (-771 + (-88))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 101, \"b\": -771, \"c\": -88}", "seed": "3329263698801056978", "semantic_fingerprint": "sha256:990e8852e7018b8527c6445b3bf7ed5867d4a66ce384cbecc668e3eaf1b57634", "generator_version": "3.0"}
{"id": "v3_test_id_00004569", "prompt": "Compute: (369 + (-67)) / (-826 + (-92)) + (-60)", "solution_steps": ["Add: 369 + (-67) = 302", "Add: -826 + (-92) = -918", "Divide: 302 / (-918) = -151/459", "Add: -151/459 + (-60) = -27691/459"], "final_answer": "-27691/459", "answer_type": "rational", "kind": "expression", "math_text": "(369 + (-67)) / (-826 + (-92)) + (-60)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 369, \"b\": -67, \"c\": -826, \"d\": -92, \"e\": -60}", "seed": "17927091177711474285", "semantic_fingerprint": "sha256:86a7abac1cdfbf6528aa0ba5ad20f5e7830c64de47fc32cb9853354b88ad6db8", "generator_version": "3.0"}
{"id": "v3_test_id_00004570", "prompt": "Calculate: 526 - (54 - (-41) * (-606 - (-4)))", "solution_steps": ["Subtract: -606 - (-4) = -602", "Multiply: -41 * (-602) = 24682", "Subtract: 54 - 24682 = -24628", "Subtract: 526 - (-24628) = 25154"], "final_answer": "25154", "answer_type": "integer", "kind": "expression", "math_text": "526 - (54 - (-41) * (-606 - (-4)))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (* n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 526, \"b\": 54, \"c\": -41, \"d\": -606, \"e\": -4}", "seed": "15362666918283779938", "semantic_fingerprint": "sha256:c5b43484737ee2c6a3ac0172fd337ab5b61f71f74147c3081f358fdec2440d41", "generator_version": "3.0"}
{"id": "v3_test_id_00004571", "prompt": "Solve for x: 9(x + 2) - 93 = 4x", "solution_steps": ["Expand: 9x + 18 - 93 = 4x", "Combine constants: 9x - 75 = 4x", "Subtract 4x from both sides: 5x - 75 = 0", "Add 75 to both sides: 5x = 75", "Divide both sides by 5: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 2) - 93 = 4x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": 4, \"e\": -93, \"x\": 15}", "seed": "2721460471724417147", "semantic_fingerprint": "sha256:fc5dffc281a067dc642a5ffadd60202f5c68a7c293a732c0ee011d3effb3fa19", "generator_version": "3.0"}
{"id": "v3_test_id_00004572", "prompt": "Solve for x: -9(x + 1) = -10x - 119", "solution_steps": ["Expand: -9x - 9 = -10x - 119", "Add 10x to both sides: x - 9 = -119", "Add 9 to both sides: x = -110"], "final_answer": "-110", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 1) = -10x - 119", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 1, \"c\": -10, \"d\": 119}", "seed": "3417310321864194626", "semantic_fingerprint": "sha256:24022946003ea98d62a3b0f036f0cde1d05eae80a5d9a4955614fb46f554722a", "generator_version": "3.0"}
{"id": "v3_test_id_00004573", "prompt": "Calculate: -6 / (769 - (-798))", "solution_steps": ["Subtract: 769 - (-798) = 1567", "Divide: -6 / 1567 = -6/1567"], "final_answer": "-6/1567", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (769 - (-798))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 769, \"c\": -798}", "seed": "11989688385492332513", "semantic_fingerprint": "sha256:f189e3f2d1f8f674ccf6130f4368e06ea3297234de9723b7a5bfc079a77a40fd", "generator_version": "3.0"}
{"id": "v3_test_id_00004574", "prompt": "What is 850 - 6?", "solution_steps": ["Subtract: 850 - 6 = 844"], "final_answer": "844", "answer_type": "integer", "kind": "expression", "math_text": "850 - 6", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 850, \"b\": 6}", "seed": "16452738992903348292", "semantic_fingerprint": "sha256:0391bda4952dd83ea22e6be45d07bee98d94062aac744e22273236bfc6a6b15a", "generator_version": "3.0"}
{"id": "v3_test_id_00004575", "prompt": "Find x: x + 119 = 3(x + 39)", "solution_steps": ["Expand: x + 119 = 3x + 117", "Subtract 3x from both sides: -2x + 119 = 117", "Subtract 119 from both sides: -2x = -2", "Divide both sides by -2: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 119 = 3(x + 39)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 39, \"d\": 119, \"x\": 1}", "seed": "14867925765725826619", "semantic_fingerprint": "sha256:0c7ebcdd27ba2c31debfd2ad1174a0ca3d143f78f30837790d0b8c823f68038f", "generator_version": "3.0"}
{"id": "v3_test_id_00004576", "prompt": "Solve the equation -9(x - 848) = 7x for x.", "solution_steps": ["Expand: -9x + 7632 = 7x", "Subtract 7x from both sides: -16x + 7632 = 0", "Subtract 7632 from both sides: -16x = -7632", "Divide both sides by -16: x = 477"], "final_answer": "477", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 848) = 7x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 848, \"c\": 7}", "seed": "6711873444735086131", "semantic_fingerprint": "sha256:6cab9c3e6b1e172ce24713fb1e707abc079780684465f8373fd8590c50cdfa60", "generator_version": "3.0"}
{"id": "v3_test_id_00004577", "prompt": "Solve the equation x + 2 = -12x - 683 for x.", "solution_steps": ["Add 12x to both sides: 13x + 2 = -683", "Subtract 2 from both sides: 13x = -685", "Divide both sides by 13: x = -685/13"], "final_answer": "-685/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 2 = -12x - 683", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -12, \"c\": 683}", "seed": "4708645819761446090", "semantic_fingerprint": "sha256:1aa732b230859ca47b1a07372bda501afb21aad41c2c6fc1269ec95f916e55ff", "generator_version": "3.0"}
{"id": "v3_test_id_00004578", "prompt": "Evaluate: 75 + (-415) * (-1)", "solution_steps": ["Multiply: -415 * (-1) = 415", "Add: 75 + 415 = 490"], "final_answer": "490", "answer_type": "integer", "kind": "expression", "math_text": "75 + (-415) * (-1)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": -415, \"c\": -1}", "seed": "10115521054427633199", "semantic_fingerprint": "sha256:7f1919fefd19a40ecde4f37f0c3169f8abb16a912e6f2d8b3059f3d72659b673", "generator_version": "3.0"}
{"id": "v3_test_id_00004579", "prompt": "Solve for x: -3(x + 2) + 11 = 10x + 96", "solution_steps": ["Expand: -3x - 6 + 11 = 10x + 96", "Combine constants: -3x + 5 = 10x + 96", "Subtract 10x from both sides: -13x + 5 = 96", "Subtract 5 from both sides: -13x = 91", "Divide both sides by -13: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 2) + 11 = 10x + 96", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 2, \"c\": 11, \"d\": 10, \"f\": 96, \"x\": -7}", "seed": "3352699405391090421", "semantic_fingerprint": "sha256:3e933ab49376986d63a480e4fa244071652c2de3bb6934fbf1a756a16692f159", "generator_version": "3.0"}
{"id": "v3_test_id_00004580", "prompt": "Solve the equation -8(x + 51) - 477 = -997 for x.", "solution_steps": ["Expand: -8x - 408 - 477 = -997", "Combine constants: -8x - 885 = -997", "Add 885 to both sides: -8x = -112", "Divide both sides by -8: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 51) - 477 = -997", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 51, \"c\": 477, \"e\": -997, \"x\": 14}", "seed": "415914314252088897", "semantic_fingerprint": "sha256:99af93543d97a81c889e895715eb4f96382ab30b742bfe8f916875a34579222e", "generator_version": "3.0"}
{"id": "v3_test_id_00004581", "prompt": "What is 207 + (-61)?", "solution_steps": ["Add: 207 + (-61) = 146"], "final_answer": "146", "answer_type": "integer", "kind": "expression", "math_text": "207 + (-61)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 207, \"b\": -61}", "seed": "17986905854112971055", "semantic_fingerprint": "sha256:2d494f8e468a93f832d46704f2c7bceb3595e040e0bc3cd9678edb559888e090", "generator_version": "3.0"}
{"id": "v3_test_id_00004582", "prompt": "Compute: (2 * 29 - (-2)) / (-8) * (-764 + (-6))", "solution_steps": ["Multiply: 2 * 29 = 58", "Subtract: 58 - (-2) = 60", "Divide: 60 / (-8) = -15/2", "Add: -764 + (-6) = -770", "Multiply: (-15/2) * (-770) = 5775"], "final_answer": "5775", "answer_type": "integer", "kind": "expression", "math_text": "(2 * 29 - (-2)) / (-8) * (-764 + (-6))", "variable": null, "family": "expression_5op", "shape": "(* (/ (- (* n n) n) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 29, \"c\": -2, \"d\": -8, \"e\": -764, \"f\": -6}", "seed": "483634578804962235", "semantic_fingerprint": "sha256:a10013b734d3ed1a60f23ead1fd85ca97f86e8442415756f6f4333022db097e7", "generator_version": "3.0"}
{"id": "v3_test_id_00004583", "prompt": "What is -648 - 4 + 92 * 528?", "solution_steps": ["Subtract: -648 - 4 = -652", "Multiply: 92 * 528 = 48576", "Add: -652 + 48576 = 47924"], "final_answer": "47924", "answer_type": "integer", "kind": "expression", "math_text": "-648 - 4 + 92 * 528", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -648, \"b\": 4, \"c\": 92, \"d\": 528}", "seed": "14474424457444774912", "semantic_fingerprint": "sha256:8489937bec463628c4cefc4496f51bbbb34fee4ae70196712845856bb82188a5", "generator_version": "3.0"}
{"id": "v3_test_id_00004584", "prompt": "Solve for x: 10x + 260 = x", "solution_steps": ["Subtract x from both sides: 9x + 260 = 0", "Subtract 260 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": "10x + 260 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 260}", "seed": "6230264340161010799", "semantic_fingerprint": "sha256:4657a114f811d5ccd5fc93ace05b30f6038d51f1483d9eaef1f77910ae0ad884", "generator_version": "3.0"}
{"id": "v3_test_id_00004585", "prompt": "What is (305 - (4 - (-656 - (-56))) + 30) / 9?", "solution_steps": ["Subtract: -656 - (-56) = -600", "Subtract: 4 - (-600) = 604", "Subtract: 305 - 604 = -299", "Add: -299 + 30 = -269", "Divide: -269 / 9 = -269/9"], "final_answer": "-269/9", "answer_type": "rational", "kind": "expression", "math_text": "(305 - (4 - (-656 - (-56))) + 30) / 9", "variable": null, "family": "expression_5op", "shape": "(/ (+ (- n (- n (- n n))) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 305, \"b\": 4, \"c\": -656, \"d\": -56, \"e\": 30, \"f\": 9}", "seed": "3930565466774655504", "semantic_fingerprint": "sha256:690ab3d19f153f0b9338ef5aebdc420c7b7a4b0fc9adb0ef1fdb5ec08eb224be", "generator_version": "3.0"}
{"id": "v3_test_id_00004586", "prompt": "What is -94 - 3 * 6?", "solution_steps": ["Multiply: 3 * 6 = 18", "Subtract: -94 - 18 = -112"], "final_answer": "-112", "answer_type": "integer", "kind": "expression", "math_text": "-94 - 3 * 6", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": 3, \"c\": 6}", "seed": "10585492766237558505", "semantic_fingerprint": "sha256:077e0daf165026a17eb4904e2eed73f9babcd5cfec95845564f5907b9515644e", "generator_version": "3.0"}
{"id": "v3_test_id_00004587", "prompt": "Solve the equation 9(x - 6) = 7(x + 35) for x.", "solution_steps": ["Expand: 9x - 54 = 7(x + 35)", "Expand: 9x - 54 = 7x + 245", "Subtract 7x from both sides: 2x - 54 = 245", "Add 54 to both sides: 2x = 299", "Divide both sides by 2: x = 299/2"], "final_answer": "299/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 6) = 7(x + 35)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 6, \"c\": 7, \"d\": 35}", "seed": "3602610992565869023", "semantic_fingerprint": "sha256:f78a2dd3696f58006313fceaec73b392b88d6b5b0be7ef08603e259b79451c50", "generator_version": "3.0"}
{"id": "v3_test_id_00004588", "prompt": "Compute: 98 + (83 + (-86)) + (-44) / (-93 - 31)", "solution_steps": ["Add: 83 + (-86) = -3", "Add: 98 + (-3) = 95", "Subtract: -93 - 31 = -124", "Divide: -44 / (-124) = 11/31", "Add: 95 + 11/31 = 2956/31"], "final_answer": "2956/31", "answer_type": "rational", "kind": "expression", "math_text": "98 + (83 + (-86)) + (-44) / (-93 - 31)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (+ n n)) (/ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": 83, \"c\": -86, \"d\": -44, \"e\": -93, \"f\": 31}", "seed": "3387726242818016169", "semantic_fingerprint": "sha256:0fdcd1565fc92b88214a664ac374d84e61aed7118a896f60523bbb5ee315d7e3", "generator_version": "3.0"}
{"id": "v3_test_id_00004589", "prompt": "Compute: -5 - (-333 - (54 + (-9)) * 544)", "solution_steps": ["Add: 54 + (-9) = 45", "Multiply: 45 * 544 = 24480", "Subtract: -333 - 24480 = -24813", "Subtract: -5 - (-24813) = 24808"], "final_answer": "24808", "answer_type": "integer", "kind": "expression", "math_text": "-5 - (-333 - (54 + (-9)) * 544)", "variable": null, "family": "expression_4op", "shape": "(- n (- n (* (+ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -333, \"c\": 54, \"d\": -9, \"e\": 544}", "seed": "519557430987777378", "semantic_fingerprint": "sha256:f1c00e1615d646147b3775bbfcdbb370e885a384d73fdf151e2a5475e304b7b0", "generator_version": "3.0"}
{"id": "v3_test_id_00004590", "prompt": "What is 76 * (-6) * (-16 * (-7))?", "solution_steps": ["Multiply: 76 * (-6) = -456", "Multiply: -16 * (-7) = 112", "Multiply: -456 * 112 = -51072"], "final_answer": "-51072", "answer_type": "integer", "kind": "expression", "math_text": "76 * (-6) * (-16 * (-7))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": -6, \"c\": -16, \"d\": -7}", "seed": "18251851843783413675", "semantic_fingerprint": "sha256:364b6aa8e617f92a4840a01bd94d9d8e170c6d63701657e99c56e73f8e79f635", "generator_version": "3.0"}
{"id": "v3_test_id_00004591", "prompt": "Solve the equation -2x = 2x + 36 for x.", "solution_steps": ["Subtract 2x from both sides: -4x = 36", "Divide both sides by -4: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x = 2x + 36", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 2, \"d\": 36, \"x\": -9}", "seed": "1053309358683789099", "semantic_fingerprint": "sha256:a07b76948994d289d5a4e7d304e97ab497b881bcf3bfd4d92115623ebb6a51c3", "generator_version": "3.0"}
{"id": "v3_test_id_00004592", "prompt": "What value of x satisfies 7x = -8x?", "solution_steps": ["Add 8x to both sides: 15x = 0", "Divide both sides by 15: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = -8x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -8}", "seed": "5038508277920066882", "semantic_fingerprint": "sha256:42085133b6b1fe0bc548708cd31d1bfdb98d2000075f75110b0cef2033b746e4", "generator_version": "3.0"}
{"id": "v3_test_id_00004593", "prompt": "What is -22 / 44 / (-603) * (-957 * 335)?", "solution_steps": ["Divide: -22 / 44 = -1/2", "Divide: (-1/2) / (-603) = 1/1206", "Multiply: -957 * 335 = -320595", "Multiply: (1/1206) * (-320595) = -1595/6"], "final_answer": "-1595/6", "answer_type": "rational", "kind": "expression", "math_text": "-22 / 44 / (-603) * (-957 * 335)", "variable": null, "family": "expression_4op", "shape": "(* (/ (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": 44, \"c\": -603, \"d\": -957, \"e\": 335}", "seed": "8792635658954800826", "semantic_fingerprint": "sha256:eb06f094457154e4cb029529640a84f996897e13883fcdeb3f80b0b79e729df2", "generator_version": "3.0"}
{"id": "v3_test_id_00004594", "prompt": "Solve the equation -11x + 144 = 7x for x.", "solution_steps": ["Subtract 7x from both sides: -18x + 144 = 0", "Subtract 144 from both sides: -18x = -144", "Divide both sides by -18: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x + 144 = 7x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 7, \"d\": 144, \"x\": 8}", "seed": "6865385756460642924", "semantic_fingerprint": "sha256:624dd90c6b44558650b6b8fccfe141c601b718b6df1fe36c0907e139b7ff25cb", "generator_version": "3.0"}
{"id": "v3_test_id_00004595", "prompt": "Calculate: -7 * (-39 - 6)", "solution_steps": ["Subtract: -39 - 6 = -45", "Multiply: -7 * (-45) = 315"], "final_answer": "315", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (-39 - 6)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -39, \"c\": 6}", "seed": "2066230424013238260", "semantic_fingerprint": "sha256:3c8891745b2e6235914fc6f9fe1e0f06895e3a411796fa83c19dba80cc568a56", "generator_version": "3.0"}
{"id": "v3_test_id_00004596", "prompt": "Evaluate: 81 / 27 - (-68) / (-9)", "solution_steps": ["Divide: 81 / 27 = 3", "Divide: -68 / (-9) = 68/9", "Subtract: 3 - 68/9 = -41/9"], "final_answer": "-41/9", "answer_type": "rational", "kind": "expression", "math_text": "81 / 27 - (-68) / (-9)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": 27, \"c\": -68, \"d\": -9}", "seed": "17337472805293333235", "semantic_fingerprint": "sha256:eb3ec725e0695025a567764ef8d77d310097c124f359c0d9cad86a71854825dc", "generator_version": "3.0"}
{"id": "v3_test_id_00004597", "prompt": "Compute: -7 + (-1 + (-509)) * (-9)", "solution_steps": ["Add: -1 + (-509) = -510", "Multiply: -510 * (-9) = 4590", "Add: -7 + 4590 = 4583"], "final_answer": "4583", "answer_type": "integer", "kind": "expression", "math_text": "-7 + (-1 + (-509)) * (-9)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -1, \"c\": -509, \"d\": -9}", "seed": "13474805594570257254", "semantic_fingerprint": "sha256:742c54e53019f216eaa33ead13cc4bcaf89d07b16cd69ff7617d697ddf2d78d8", "generator_version": "3.0"}
{"id": "v3_test_id_00004598", "prompt": "What value of x satisfies 7(x + 7) - 31 = -2x + 27?", "solution_steps": ["Expand: 7x + 49 - 31 = -2x + 27", "Combine constants: 7x + 18 = -2x + 27", "Add 2x to both sides: 9x + 18 = 27", "Subtract 18 from both sides: 9x = 9", "Divide both sides by 9: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 7) - 31 = -2x + 27", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 31, \"d\": -2, \"f\": 27, \"x\": 1}", "seed": "13864937026028337961", "semantic_fingerprint": "sha256:ffc77976b559149bba86eb48d7ab076fe6541ab9e37780a24c56e81287a942d3", "generator_version": "3.0"}
{"id": "v3_test_id_00004599", "prompt": "Calculate: -77 / (-51 / (-54 * (-3)) / (-15)) + 63", "solution_steps": ["Multiply: -54 * (-3) = 162", "Divide: -51 / 162 = -17/54", "Divide: (-17/54) / (-15) = 17/810", "Divide: -77 / (17/810) = -62370/17", "Add: -62370/17 + 63 = -61299/17"], "final_answer": "-61299/17", "answer_type": "rational", "kind": "expression", "math_text": "-77 / (-51 / (-54 * (-3)) / (-15)) + 63", "variable": null, "family": "expression_5op", "shape": "(+ (/ n (/ (/ n (* n n)) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": -51, \"c\": -54, \"d\": -3, \"e\": -15, \"f\": 63}", "seed": "8864195796449439958", "semantic_fingerprint": "sha256:883083c3658cd27bf758e14cb744b260786d834935efaf2a8cb3b3b760656662", "generator_version": "3.0"}
{"id": "v3_test_id_00004600", "prompt": "Compute: (8 - 5) * 14 + (-17)", "solution_steps": ["Subtract: 8 - 5 = 3", "Multiply: 3 * 14 = 42", "Add: 42 + (-17) = 25"], "final_answer": "25", "answer_type": "integer", "kind": "expression", "math_text": "(8 - 5) * 14 + (-17)", "variable": null, "family": "expression_3op", "shape": "(+ (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 5, \"c\": 14, \"d\": -17}", "seed": "4247528650146659243", "semantic_fingerprint": "sha256:f149d9b18e106932a2b881add33bec783efb70ff4c7b5552a8b8243aef95ac41", "generator_version": "3.0"}
{"id": "v3_test_id_00004601", "prompt": "Compute: (8 - (-89)) * (18 / (-7 * (-7)) / (-2))", "solution_steps": ["Subtract: 8 - (-89) = 97", "Multiply: -7 * (-7) = 49", "Divide: 18 / 49 = 18/49", "Divide: (18/49) / (-2) = -9/49", "Multiply: 97 * (-9/49) = -873/49"], "final_answer": "-873/49", "answer_type": "rational", "kind": "expression", "math_text": "(8 - (-89)) * (18 / (-7 * (-7)) / (-2))", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (/ (/ n (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -89, \"c\": 18, \"d\": -7, \"e\": -7, \"f\": -2}", "seed": "10453655786676363947", "semantic_fingerprint": "sha256:3521eba456e5a96a3e308c9fbfd1661bd089119f30a534af0919d40ac208a7d8", "generator_version": "3.0"}
{"id": "v3_test_id_00004602", "prompt": "Compute: -64 + (9 - (-8))", "solution_steps": ["Subtract: 9 - (-8) = 17", "Add: -64 + 17 = -47"], "final_answer": "-47", "answer_type": "integer", "kind": "expression", "math_text": "-64 + (9 - (-8))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": 9, \"c\": -8}", "seed": "45991718170342628", "semantic_fingerprint": "sha256:cc735e202b5cc3e1854bc0fef83ed591087a9dfe3ac532658c19450fb2a970b6", "generator_version": "3.0"}
{"id": "v3_test_id_00004603", "prompt": "What is 4 + 581?", "solution_steps": ["Add: 4 + 581 = 585"], "final_answer": "585", "answer_type": "integer", "kind": "expression", "math_text": "4 + 581", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 581}", "seed": "4346106272876801338", "semantic_fingerprint": "sha256:a8f694069c4cac8199066b3c52c7cbc566a1f9ca48eab81c51ae7aa9550a9d0d", "generator_version": "3.0"}
{"id": "v3_test_id_00004604", "prompt": "What value of x satisfies 7(x - 202) = -7x?", "solution_steps": ["Expand: 7x - 1414 = -7x", "Add 7x to both sides: 14x - 1414 = 0", "Add 1414 to both sides: 14x = 1414", "Divide both sides by 14: x = 101"], "final_answer": "101", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 202) = -7x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 202, \"c\": -7}", "seed": "18244950605129395475", "semantic_fingerprint": "sha256:f9f9a7153454f0ac73cfb8dea4612a8acc4a1f0263e051b29fe1baaf6c5053d1", "generator_version": "3.0"}
{"id": "v3_test_id_00004605", "prompt": "Compute: 25 / (-4 + (-9)) + 163", "solution_steps": ["Add: -4 + (-9) = -13", "Divide: 25 / (-13) = -25/13", "Add: -25/13 + 163 = 2094/13"], "final_answer": "2094/13", "answer_type": "rational", "kind": "expression", "math_text": "25 / (-4 + (-9)) + 163", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": -4, \"c\": -9, \"d\": 163}", "seed": "340467407844452640", "semantic_fingerprint": "sha256:f3221aa3cd168a37f069bc81063d53f6cac055ebe455d58a64ed39ecdec6db28", "generator_version": "3.0"}
{"id": "v3_test_id_00004606", "prompt": "Evaluate: -4 / (-3) / (3 - (811 + (-43))) + 0", "solution_steps": ["Divide: -4 / (-3) = 4/3", "Add: 811 + (-43) = 768", "Subtract: 3 - 768 = -765", "Divide: (4/3) / (-765) = -4/2295", "Add: -4/2295 + 0 = -4/2295"], "final_answer": "-4/2295", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-3) / (3 - (811 + (-43))) + 0", "variable": null, "family": "expression_5op", "shape": "(+ (/ (/ n n) (- n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -3, \"c\": 3, \"d\": 811, \"e\": -43, \"f\": 0}", "seed": "10672749714781254955", "semantic_fingerprint": "sha256:7def22b2f91c21e85aa3b2a8e9e3854f725352af0a517752680444cbda3d7a59", "generator_version": "3.0"}
{"id": "v3_test_id_00004607", "prompt": "Find x: x = 11(x - 54) + 713", "solution_steps": ["Expand: x = 11x - 594 + 713", "Combine constants: x = 11x + 119", "Subtract 11x from both sides: -10x = 119", "Divide both sides by -10: x = -119/10"], "final_answer": "-119/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 11(x - 54) + 713", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 54, \"c\": 713}", "seed": "4561512872802951076", "semantic_fingerprint": "sha256:c9d2989cabcc68dbb69216fc649dbe4cc8a8a376ffc3c8deebb578711c3700ee", "generator_version": "3.0"}
{"id": "v3_test_id_00004608", "prompt": "Solve for x: x + 887 = 5(x + 20) + 747", "solution_steps": ["Expand: x + 887 = 5x + 100 + 747", "Combine constants: x + 887 = 5x + 847", "Subtract 5x from both sides: -4x + 887 = 847", "Subtract 887 from both sides: -4x = -40", "Divide both sides by -4: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 887 = 5(x + 20) + 747", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 887, \"b\": 5, \"c\": 20, \"e\": 747, \"x\": 10}", "seed": "902814663473592298", "semantic_fingerprint": "sha256:e17131a12229b30666edfcaccc3507f9b31ec9bf394f9ec9b933c10c3d17aab4", "generator_version": "3.0"}
{"id": "v3_test_id_00004609", "prompt": "Calculate: -116 + (-97 - (-11))", "solution_steps": ["Subtract: -97 - (-11) = -86", "Add: -116 + (-86) = -202"], "final_answer": "-202", "answer_type": "integer", "kind": "expression", "math_text": "-116 + (-97 - (-11))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -116, \"b\": -97, \"c\": -11}", "seed": "4614311408118726886", "semantic_fingerprint": "sha256:9099459be43f9c155052bc4af053dbf006f0dafe81fa586b76a378c207f3356f", "generator_version": "3.0"}
{"id": "v3_test_id_00004610", "prompt": "Calculate: 6 - (-56) / 99", "solution_steps": ["Divide: -56 / 99 = -56/99", "Subtract: 6 - (-56/99) = 650/99"], "final_answer": "650/99", "answer_type": "rational", "kind": "expression", "math_text": "6 - (-56) / 99", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -56, \"c\": 99}", "seed": "85108808089176680", "semantic_fingerprint": "sha256:154c6d020873168f7f7f6b55537201a421f381b8a878f6aa7901b2a3611ff7d6", "generator_version": "3.0"}
{"id": "v3_test_id_00004611", "prompt": "Solve the equation 8(x - 3) + 38 = x for x.", "solution_steps": ["Expand: 8x - 24 + 38 = x", "Combine constants: 8x + 14 = x", "Subtract x from both sides: 7x + 14 = 0", "Subtract 14 from both sides: 7x = -14", "Divide both sides by 7: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 3) + 38 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"d\": 38, \"x\": -2}", "seed": "13032193997734406301", "semantic_fingerprint": "sha256:99bd0bab2bc23f1b51dd6d9976d92bbd7556eeeaddcd6e114fa5ac00bec1bdda", "generator_version": "3.0"}
{"id": "v3_test_id_00004612", "prompt": "What is 2 * 0 * (-96) / (-484 * (-961))?", "solution_steps": ["Multiply: 2 * 0 = 0", "Multiply: 0 * (-96) = 0", "Multiply: -484 * (-961) = 465124", "Divide: 0 / 465124 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "2 * 0 * (-96) / (-484 * (-961))", "variable": null, "family": "expression_4op", "shape": "(/ (* (* n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 0, \"c\": -96, \"d\": -484, \"e\": -961}", "seed": "15590163597719041011", "semantic_fingerprint": "sha256:a92b75e5254634c9e3b836980331265052e42476115d063351ef1e802b34387d", "generator_version": "3.0"}
{"id": "v3_test_id_00004613", "prompt": "What is 426 * (-8) / (-6)?", "solution_steps": ["Multiply: 426 * (-8) = -3408", "Divide: -3408 / (-6) = 568"], "final_answer": "568", "answer_type": "integer", "kind": "expression", "math_text": "426 * (-8) / (-6)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 426, \"b\": -8, \"c\": -6}", "seed": "5953514547854129795", "semantic_fingerprint": "sha256:27d67fee670924e87b3b57db88163ebcfc39d67b039041564513165735d78e7f", "generator_version": "3.0"}
{"id": "v3_test_id_00004614", "prompt": "What value of x satisfies 7(x - 7) - 44 = -12(x + 4) + 31?", "solution_steps": ["Expand: 7x - 49 - 44 = -12(x + 4) + 31", "Expand: 7x - 49 - 44 = -12x - 48 + 31", "Combine constants: 7x - 93 = -12x - 48 + 31", "Combine constants: 7x - 93 = -12x - 17", "Add 12x to both sides: 19x - 93 = -17", "Add 93 to both sides: 19x = 76", "Divide both sides by 19: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 7) - 44 = -12(x + 4) + 31", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 44, \"d\": -12, \"e\": 4, \"g\": 31, \"x\": 4}", "seed": "12891788312685162677", "semantic_fingerprint": "sha256:a939b67eaea839243358a9b189df1ded50694574986b71eaac9c3da9f43703ab", "generator_version": "3.0"}
{"id": "v3_test_id_00004615", "prompt": "What is -9 / (-309 - 135) * (-70) + 255 * 7?", "solution_steps": ["Subtract: -309 - 135 = -444", "Divide: -9 / (-444) = 3/148", "Multiply: (3/148) * (-70) = -105/74", "Multiply: 255 * 7 = 1785", "Add: -105/74 + 1785 = 131985/74"], "final_answer": "131985/74", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-309 - 135) * (-70) + 255 * 7", "variable": null, "family": "expression_5op", "shape": "(+ (* (/ n (- n n)) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -309, \"c\": 135, \"d\": -70, \"e\": 255, \"f\": 7}", "seed": "9347011379406602976", "semantic_fingerprint": "sha256:42e5ed9c1bb8e8a2967b5d77d51436a2a46295fcfdeec9faf309cca0a7449f62", "generator_version": "3.0"}
{"id": "v3_test_id_00004616", "prompt": "Evaluate: 10 + (-64)", "solution_steps": ["Add: 10 + (-64) = -54"], "final_answer": "-54", "answer_type": "integer", "kind": "expression", "math_text": "10 + (-64)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -64}", "seed": "16066922319704821043", "semantic_fingerprint": "sha256:6f06619661a6f58bdb04394cac3a441aee2ed0e127546b8cb22a67b133d2b44e", "generator_version": "3.0"}
{"id": "v3_test_id_00004617", "prompt": "Evaluate: (0 - (-80)) / (-4)", "solution_steps": ["Subtract: 0 - (-80) = 80", "Divide: 80 / (-4) = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "expression", "math_text": "(0 - (-80)) / (-4)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -80, \"c\": -4}", "seed": "16101146714818980486", "semantic_fingerprint": "sha256:24194541eb11afb199c1de1aa89798a05d4f66a89364c3223ab1ed76c80c6321", "generator_version": "3.0"}
{"id": "v3_test_id_00004618", "prompt": "Compute: -60 + 4 * (-7) - (-2)", "solution_steps": ["Multiply: 4 * (-7) = -28", "Add: -60 + (-28) = -88", "Subtract: -88 - (-2) = -86"], "final_answer": "-86", "answer_type": "integer", "kind": "expression", "math_text": "-60 + 4 * (-7) - (-2)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -60, \"b\": 4, \"c\": -7, \"d\": -2}", "seed": "8405770261206706465", "semantic_fingerprint": "sha256:5a51ef43e278d804c8ec18a34e44883625bfcf9cc0fdd35c83b695909f7cf8a9", "generator_version": "3.0"}
{"id": "v3_test_id_00004619", "prompt": "Evaluate: 749 * (-34 / 9)", "solution_steps": ["Divide: -34 / 9 = -34/9", "Multiply: 749 * (-34/9) = -25466/9"], "final_answer": "-25466/9", "answer_type": "rational", "kind": "expression", "math_text": "749 * (-34 / 9)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 749, \"b\": -34, \"c\": 9}", "seed": "17124315993033899897", "semantic_fingerprint": "sha256:17dabf27e3bc94921cf0d1792d3b925b72bdd253db7da7ec003553a5a921fc64", "generator_version": "3.0"}
{"id": "v3_test_id_00004620", "prompt": "Evaluate: -54 * (-41 + 5) / 43", "solution_steps": ["Add: -41 + 5 = -36", "Multiply: -54 * (-36) = 1944", "Divide: 1944 / 43 = 1944/43"], "final_answer": "1944/43", "answer_type": "rational", "kind": "expression", "math_text": "-54 * (-41 + 5) / 43", "variable": null, "family": "expression_3op", "shape": "(/ (* n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": -41, \"c\": 5, \"d\": 43}", "seed": "18249244149242795651", "semantic_fingerprint": "sha256:bd19ed92a52d1594c6fe0a4a0d5f28e46067dce65dc7ab773e78a165c2ccb812", "generator_version": "3.0"}
{"id": "v3_test_id_00004621", "prompt": "Solve the equation 10(x - 5) + 122 = x for x.", "solution_steps": ["Expand: 10x - 50 + 122 = x", "Combine constants: 10x + 72 = x", "Subtract x from both sides: 9x + 72 = 0", "Subtract 72 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 - 5) + 122 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 5, \"d\": 122, \"x\": -8}", "seed": "1703024540937408174", "semantic_fingerprint": "sha256:f8431c77071df02f000ba6c42b2eb9417b67998b15bf6fdbf71f74fc23031da5", "generator_version": "3.0"}
{"id": "v3_test_id_00004622", "prompt": "Compute: (24 + 96 / 1) / 36", "solution_steps": ["Divide: 96 / 1 = 96", "Add: 24 + 96 = 120", "Divide: 120 / 36 = 10/3"], "final_answer": "10/3", "answer_type": "rational", "kind": "expression", "math_text": "(24 + 96 / 1) / 36", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 24, \"b\": 96, \"c\": 1, \"d\": 36}", "seed": "10130031230334037871", "semantic_fingerprint": "sha256:2b021e3a03e2db7286df0172fc9a5bb3cdb20a26ed64ebbe82115ba89a1a3185", "generator_version": "3.0"}
{"id": "v3_test_id_00004623", "prompt": "Solve for x: 5x = 3(x - 5) - 1", "solution_steps": ["Expand: 5x = 3x - 15 - 1", "Combine constants: 5x = 3x - 16", "Subtract 3x from both sides: 2x = -16", "Divide both sides by 2: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = 3(x - 5) - 1", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 5, \"e\": -1, \"x\": -8}", "seed": "2239097511662023006", "semantic_fingerprint": "sha256:264d93c01d71d437ba2138383e1d04149a12d3b6431bdaa2991fc90677ffd495", "generator_version": "3.0"}
{"id": "v3_test_id_00004624", "prompt": "What value of x satisfies -10x + 52 = -12(x - 24) - 230?", "solution_steps": ["Expand: -10x + 52 = -12x + 288 - 230", "Combine constants: -10x + 52 = -12x + 58", "Add 12x to both sides: 2x + 52 = 58", "Subtract 52 from both sides: 2x = 6", "Divide both sides by 2: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x + 52 = -12(x - 24) - 230", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 52, \"c\": -12, \"d\": 24, \"f\": -230, \"x\": 3}", "seed": "1243862635369383372", "semantic_fingerprint": "sha256:78d80a59c869a8da7a2becddef6dcb58bf76e13bfdb9ab5980c698170fc2a3cf", "generator_version": "3.0"}
{"id": "v3_test_id_00004625", "prompt": "Solve for x: 12(x - 45) = x - 74", "solution_steps": ["Expand: 12x - 540 = x - 74", "Subtract x from both sides: 11x - 540 = -74", "Add 540 to both sides: 11x = 466", "Divide both sides by 11: x = 466/11"], "final_answer": "466/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 45) = x - 74", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 45, \"c\": 74}", "seed": "6683315567487022181", "semantic_fingerprint": "sha256:b602b6ecd7e81b845096da7bbfac1b900e1964400922ccaaf1a05dafc3dc9949", "generator_version": "3.0"}
{"id": "v3_test_id_00004626", "prompt": "Compute: -29 - (15 / 22 - (-11) / 61)", "solution_steps": ["Divide: 15 / 22 = 15/22", "Divide: -11 / 61 = -11/61", "Subtract: 15/22 - (-11/61) = 1157/1342", "Subtract: -29 - 1157/1342 = -40075/1342"], "final_answer": "-40075/1342", "answer_type": "rational", "kind": "expression", "math_text": "-29 - (15 / 22 - (-11) / 61)", "variable": null, "family": "expression_4op", "shape": "(- n (- (/ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": 15, \"c\": 22, \"d\": -11, \"e\": 61}", "seed": "6989290313621690743", "semantic_fingerprint": "sha256:cbaeb26306d0e140aaa74bfa4d087ddbf4846537b4ff682e650419ad185bf2cb", "generator_version": "3.0"}
{"id": "v3_test_id_00004627", "prompt": "Calculate: 51 - (-9) / 180", "solution_steps": ["Divide: -9 / 180 = -1/20", "Subtract: 51 - (-1/20) = 1021/20"], "final_answer": "1021/20", "answer_type": "rational", "kind": "expression", "math_text": "51 - (-9) / 180", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": -9, \"c\": 180}", "seed": "6983758772375209483", "semantic_fingerprint": "sha256:d00b81228baea63bb9dd56ee65d3863ac422ae15375c9fba86d2094f1db1ce13", "generator_version": "3.0"}
{"id": "v3_test_id_00004628", "prompt": "Find x: 6(x - 62) - 63 = 3(x + 32) - 498", "solution_steps": ["Expand: 6x - 372 - 63 = 3(x + 32) - 498", "Expand: 6x - 372 - 63 = 3x + 96 - 498", "Combine constants: 6x - 435 = 3x + 96 - 498", "Combine constants: 6x - 435 = 3x - 402", "Subtract 3x from both sides: 3x - 435 = -402", "Add 435 to both sides: 3x = 33", "Divide both sides by 3: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 62) - 63 = 3(x + 32) - 498", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 62, \"c\": 63, \"d\": 3, \"e\": 32, \"g\": -498, \"x\": 11}", "seed": "10516191366003654061", "semantic_fingerprint": "sha256:9c0b5f72642f7ce738f205153e25c93141a1038312782832cc5fcfa88b3f4527", "generator_version": "3.0"}
{"id": "v3_test_id_00004629", "prompt": "Compute: -2 + 881", "solution_steps": ["Add: -2 + 881 = 879"], "final_answer": "879", "answer_type": "integer", "kind": "expression", "math_text": "-2 + 881", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 881}", "seed": "8821184417266715470", "semantic_fingerprint": "sha256:2775f3ba9f7bc853efb4353a236ae957c0069928558a649281573218d4e6b9b6", "generator_version": "3.0"}
{"id": "v3_test_id_00004630", "prompt": "What value of x satisfies -4x + 3 = 3(x - 59) + 201?", "solution_steps": ["Expand: -4x + 3 = 3x - 177 + 201", "Combine constants: -4x + 3 = 3x + 24", "Subtract 3x from both sides: -7x + 3 = 24", "Subtract 3 from both sides: -7x = 21", "Divide both sides by -7: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x + 3 = 3(x - 59) + 201", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 3, \"c\": 3, \"d\": 59, \"f\": 201, \"x\": -3}", "seed": "18008141779185285290", "semantic_fingerprint": "sha256:fedeac035ba7320fa0a23610280a19ddbe3feff8c3c23e51680cf2bafa822d99", "generator_version": "3.0"}
{"id": "v3_test_id_00004631", "prompt": "Evaluate: -4 / (-687 - 5)", "solution_steps": ["Subtract: -687 - 5 = -692", "Divide: -4 / (-692) = 1/173"], "final_answer": "1/173", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-687 - 5)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -687, \"c\": 5}", "seed": "9927026752117121488", "semantic_fingerprint": "sha256:ef06a921be89671d1df8441eb8dafc7d00efb92e5b48712e68ed78d254a6ff1d", "generator_version": "3.0"}
{"id": "v3_test_id_00004632", "prompt": "What value of x satisfies x - 843 = 3(x + 85)?", "solution_steps": ["Expand: x - 843 = 3x + 255", "Subtract 3x from both sides: -2x - 843 = 255", "Add 843 to both sides: -2x = 1098", "Divide both sides by -2: x = -549"], "final_answer": "-549", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 843 = 3(x + 85)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 843, \"b\": 3, \"c\": 85}", "seed": "590123924252505210", "semantic_fingerprint": "sha256:e508256fbc4a2a4e05db145dfdb246bab628aec4e0c7393b7567942c007786ca", "generator_version": "3.0"}
{"id": "v3_test_id_00004633", "prompt": "Compute: -97 * (-68) * (-3 * (22 / (-5)))", "solution_steps": ["Multiply: -97 * (-68) = 6596", "Divide: 22 / (-5) = -22/5", "Multiply: -3 * (-22/5) = 66/5", "Multiply: 6596 * (66/5) = 435336/5"], "final_answer": "435336/5", "answer_type": "rational", "kind": "expression", "math_text": "-97 * (-68) * (-3 * (22 / (-5)))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (* n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": -68, \"c\": -3, \"d\": 22, \"e\": -5}", "seed": "9896739585951662800", "semantic_fingerprint": "sha256:55d24acfd2738cfd48aef616838a6f11090a7642d6afdb583561b252f99f024b", "generator_version": "3.0"}
{"id": "v3_test_id_00004634", "prompt": "Solve for x: 7(x + 20) + 6 = 12(x + 3) + 20", "solution_steps": ["Expand: 7x + 140 + 6 = 12(x + 3) + 20", "Expand: 7x + 140 + 6 = 12x + 36 + 20", "Combine constants: 7x + 146 = 12x + 36 + 20", "Combine constants: 7x + 146 = 12x + 56", "Subtract 12x from both sides: -5x + 146 = 56", "Subtract 146 from both sides: -5x = -90", "Divide both sides by -5: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 20) + 6 = 12(x + 3) + 20", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 20, \"c\": 6, \"d\": 12, \"e\": 3, \"g\": 20, \"x\": 18}", "seed": "17533610407613692061", "semantic_fingerprint": "sha256:2a41f21952e3cf1b22fa06fd80d5e937e0e256d11049dab23e5302053b2b16b7", "generator_version": "3.0"}
{"id": "v3_test_id_00004635", "prompt": "Solve for x: -11(x - 7) = 11(x - 77) + 39", "solution_steps": ["Expand: -11x + 77 = 11(x - 77) + 39", "Expand: -11x + 77 = 11x - 847 + 39", "Combine constants: -11x + 77 = 11x - 808", "Subtract 11x from both sides: -22x + 77 = -808", "Subtract 77 from both sides: -22x = -885", "Divide both sides by -22: x = 885/22"], "final_answer": "885/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 7) = 11(x - 77) + 39", "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\": 11, \"d\": 77, \"e\": 39}", "seed": "10743605013187113063", "semantic_fingerprint": "sha256:38deddf1e22c53982cdab732d73b9e24e761a778485741d0e553f1aad3930ccb", "generator_version": "3.0"}
{"id": "v3_test_id_00004636", "prompt": "Find x: x - 5 = -8(x - 32) - 414", "solution_steps": ["Expand: x - 5 = -8x + 256 - 414", "Combine constants: x - 5 = -8x - 158", "Add 8x to both sides: 9x - 5 = -158", "Add 5 to both sides: 9x = -153", "Divide both sides by 9: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5 = -8(x - 32) - 414", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -8, \"c\": 32, \"e\": -414, \"x\": -17}", "seed": "598175569970109966", "semantic_fingerprint": "sha256:1aa42d5e58fca9c410f3b069f670fc6bde6a2af193c983fe22c8aaabfa3dce29", "generator_version": "3.0"}
{"id": "v3_test_id_00004637", "prompt": "Calculate: 20 + (15 - (-991))", "solution_steps": ["Subtract: 15 - (-991) = 1006", "Add: 20 + 1006 = 1026"], "final_answer": "1026", "answer_type": "integer", "kind": "expression", "math_text": "20 + (15 - (-991))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 20, \"b\": 15, \"c\": -991}", "seed": "8212145080821238535", "semantic_fingerprint": "sha256:226e7c5a6f22b8a46800c42c9d3229744aa996e7fcc97599b61e1a1940d58ceb", "generator_version": "3.0"}
{"id": "v3_test_id_00004638", "prompt": "Compute: (6 + 9 + 6 + 4) * (4 / 4)", "solution_steps": ["Add: 6 + 9 = 15", "Add: 15 + 6 = 21", "Add: 21 + 4 = 25", "Divide: 4 / 4 = 1", "Multiply: 25 * 1 = 25"], "final_answer": "25", "answer_type": "integer", "kind": "expression", "math_text": "(6 + 9 + 6 + 4) * (4 / 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\": 6, \"d\": 4, \"e\": 4, \"f\": 4}", "seed": "10617487134898001316", "semantic_fingerprint": "sha256:8ae9eab209714e01b7d8e56f77c6beeec37b52d50566e60de322cff7f7a80633", "generator_version": "3.0"}
{"id": "v3_test_id_00004639", "prompt": "Calculate: (271 - 861) * (0 - 6)", "solution_steps": ["Subtract: 271 - 861 = -590", "Subtract: 0 - 6 = -6", "Multiply: -590 * (-6) = 3540"], "final_answer": "3540", "answer_type": "integer", "kind": "expression", "math_text": "(271 - 861) * (0 - 6)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 271, \"b\": 861, \"c\": 0, \"d\": 6}", "seed": "15754993788278899457", "semantic_fingerprint": "sha256:ed69993e1a2d59a1557ed1ee66df0eacfadf78d930ee35dd4c02c6d1d185c3b0", "generator_version": "3.0"}
{"id": "v3_test_id_00004640", "prompt": "Find x: 5x - 221 = x - 141", "solution_steps": ["Subtract x from both sides: 4x - 221 = -141", "Add 221 to both sides: 4x = 80", "Divide both sides by 4: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 221 = x - 141", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 221, \"d\": -141, \"x\": 20}", "seed": "7966797779372834051", "semantic_fingerprint": "sha256:964e1912be3bece53bebe8c32c09421b21b0d9ba9cdef4851124cc5cb848bba7", "generator_version": "3.0"}
{"id": "v3_test_id_00004641", "prompt": "What is (79 + (-51)) / ((-675 + (-7)) / (-92))?", "solution_steps": ["Add: 79 + (-51) = 28", "Add: -675 + (-7) = -682", "Divide: -682 / (-92) = 341/46", "Divide: 28 / (341/46) = 1288/341"], "final_answer": "1288/341", "answer_type": "rational", "kind": "expression", "math_text": "(79 + (-51)) / ((-675 + (-7)) / (-92))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": -51, \"c\": -675, \"d\": -7, \"e\": -92}", "seed": "14186798081743337886", "semantic_fingerprint": "sha256:a2c919fd29a1e2ccd12c85dbc5493ffb9faef715ee451bbface6092b5dc53d12", "generator_version": "3.0"}
{"id": "v3_test_id_00004642", "prompt": "Evaluate: -934 * 86 - (-1 + 145)", "solution_steps": ["Multiply: -934 * 86 = -80324", "Add: -1 + 145 = 144", "Subtract: -80324 - 144 = -80468"], "final_answer": "-80468", "answer_type": "integer", "kind": "expression", "math_text": "-934 * 86 - (-1 + 145)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -934, \"b\": 86, \"c\": -1, \"d\": 145}", "seed": "667505386038494386", "semantic_fingerprint": "sha256:7663baf5fcf0dc37623dd750a0dd50603b92a9480c4bf03eaca6ef58c145877f", "generator_version": "3.0"}
{"id": "v3_test_id_00004643", "prompt": "Compute: -4 / ((-85 + (-421)) / 1)", "solution_steps": ["Add: -85 + (-421) = -506", "Divide: -506 / 1 = -506", "Divide: -4 / (-506) = 2/253"], "final_answer": "2/253", "answer_type": "rational", "kind": "expression", "math_text": "-4 / ((-85 + (-421)) / 1)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -85, \"c\": -421, \"d\": 1}", "seed": "15640374404613852468", "semantic_fingerprint": "sha256:3243de7a668f2b35a20c804f63712bc33d9e784eeac081d94c29c1917c606d01", "generator_version": "3.0"}
{"id": "v3_test_id_00004644", "prompt": "Solve for x: x - 36 = 3x - 36", "solution_steps": ["Subtract 3x from both sides: -2x - 36 = -36", "Add 36 to both sides: -2x = 0", "Divide both sides by -2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 36 = 3x - 36", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": 3, \"d\": -36, \"x\": 0}", "seed": "10769194549556899540", "semantic_fingerprint": "sha256:79cb5704a916936e05d73ffc81e5576fee08e7ee53d430348a77c1dc60adaff8", "generator_version": "3.0"}
{"id": "v3_test_id_00004645", "prompt": "Evaluate: (-2 - (-11)) / (1 - (-950) - (165 - (-222)))", "solution_steps": ["Subtract: -2 - (-11) = 9", "Subtract: 1 - (-950) = 951", "Subtract: 165 - (-222) = 387", "Subtract: 951 - 387 = 564", "Divide: 9 / 564 = 3/188"], "final_answer": "3/188", "answer_type": "rational", "kind": "expression", "math_text": "(-2 - (-11)) / (1 - (-950) - (165 - (-222)))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (- (- n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -11, \"c\": 1, \"d\": -950, \"e\": 165, \"f\": -222}", "seed": "1516548352100993222", "semantic_fingerprint": "sha256:a9c5187bf5e5a83ab016559ca9dabbb4658ac2dc30f50db06a2c35de29af1c9a", "generator_version": "3.0"}
{"id": "v3_test_id_00004646", "prompt": "What is -61 * (-56 - 54 + 761 / (-66))?", "solution_steps": ["Subtract: -56 - 54 = -110", "Divide: 761 / (-66) = -761/66", "Add: -110 + (-761/66) = -8021/66", "Multiply: -61 * (-8021/66) = 489281/66"], "final_answer": "489281/66", "answer_type": "rational", "kind": "expression", "math_text": "-61 * (-56 - 54 + 761 / (-66))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (- n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": -56, \"c\": 54, \"d\": 761, \"e\": -66}", "seed": "5918160722730096570", "semantic_fingerprint": "sha256:9d5ef32cc4b8f1c715ca5a8b1b3cc14d237cec87822fec123d121fddcda538cc", "generator_version": "3.0"}
{"id": "v3_test_id_00004647", "prompt": "Compute: (86 + 3) * (-6 / (-70 / 60 + (-67)))", "solution_steps": ["Add: 86 + 3 = 89", "Divide: -70 / 60 = -7/6", "Add: -7/6 + (-67) = -409/6", "Divide: -6 / (-409/6) = 36/409", "Multiply: 89 * (36/409) = 3204/409"], "final_answer": "3204/409", "answer_type": "rational", "kind": "expression", "math_text": "(86 + 3) * (-6 / (-70 / 60 + (-67)))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (/ n (+ (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 3, \"c\": -6, \"d\": -70, \"e\": 60, \"f\": -67}", "seed": "8239358223912765675", "semantic_fingerprint": "sha256:d16a5b272a6ea62a1a0ba5f6ac4084defcd28f3e7303a1e4949babc7a6a584e4", "generator_version": "3.0"}
{"id": "v3_test_id_00004648", "prompt": "Find x: 4(x + 7) + 196 = -4(x - 62)", "solution_steps": ["Expand: 4x + 28 + 196 = -4(x - 62)", "Expand: 4x + 28 + 196 = -4x + 248", "Combine constants: 4x + 224 = -4x + 248", "Add 4x to both sides: 8x + 224 = 248", "Subtract 224 from both sides: 8x = 24", "Divide both sides by 8: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 7) + 196 = -4(x - 62)", "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\": -4, \"d\": 62, \"f\": 196, \"x\": 3}", "seed": "76122366613105502", "semantic_fingerprint": "sha256:6035315cf057d49a643f4aa89a20a17de6b42a14daa9187b1cad374a163e6a65", "generator_version": "3.0"}
{"id": "v3_test_id_00004649", "prompt": "What is -194 / 9?", "solution_steps": ["Divide: -194 / 9 = -194/9"], "final_answer": "-194/9", "answer_type": "rational", "kind": "expression", "math_text": "-194 / 9", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -194, \"b\": 9}", "seed": "10718454706997838347", "semantic_fingerprint": "sha256:414305d1d25e6c81231a3e93b9a8b05cb1cbd0ce46cd4608af02fe17e6422673", "generator_version": "3.0"}
{"id": "v3_test_id_00004650", "prompt": "Calculate: -151 / 89 * (-912)", "solution_steps": ["Divide: -151 / 89 = -151/89", "Multiply: (-151/89) * (-912) = 137712/89"], "final_answer": "137712/89", "answer_type": "rational", "kind": "expression", "math_text": "-151 / 89 * (-912)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -151, \"b\": 89, \"c\": -912}", "seed": "3052832683586812183", "semantic_fingerprint": "sha256:44f9464af148d6be5f8882def1cb7f0712221828f59b41fd9b5e8bf784ddbf33", "generator_version": "3.0"}
{"id": "v3_test_id_00004651", "prompt": "Calculate: (-985 + (-551) - 87) * (-54)", "solution_steps": ["Add: -985 + (-551) = -1536", "Subtract: -1536 - 87 = -1623", "Multiply: -1623 * (-54) = 87642"], "final_answer": "87642", "answer_type": "integer", "kind": "expression", "math_text": "(-985 + (-551) - 87) * (-54)", "variable": null, "family": "expression_3op", "shape": "(* (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -985, \"b\": -551, \"c\": 87, \"d\": -54}", "seed": "8861180060652425246", "semantic_fingerprint": "sha256:ea393d37e07b9358541afd974320049937a3393f5345d046daac77d453b3bfcc", "generator_version": "3.0"}
{"id": "v3_test_id_00004652", "prompt": "Solve the equation 11(x - 2) - 635 = 8x - 657 for x.", "solution_steps": ["Expand: 11x - 22 - 635 = 8x - 657", "Combine constants: 11x - 657 = 8x - 657", "Subtract 8x from both sides: 3x - 657 = -657", "Add 657 to both sides: 3x = 0", "Divide both sides by 3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 2) - 635 = 8x - 657", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 2, \"c\": 635, \"d\": 8, \"f\": -657, \"x\": 0}", "seed": "15870328862511324615", "semantic_fingerprint": "sha256:16362dbc952711a00af41f4d34790328801589c874d89c5581da28a033aa1c0a", "generator_version": "3.0"}
{"id": "v3_test_id_00004653", "prompt": "What value of x satisfies 5(x + 119) + 21 = 12(x + 13) + 439?", "solution_steps": ["Expand: 5x + 595 + 21 = 12(x + 13) + 439", "Expand: 5x + 595 + 21 = 12x + 156 + 439", "Combine constants: 5x + 616 = 12x + 156 + 439", "Combine constants: 5x + 616 = 12x + 595", "Subtract 12x from both sides: -7x + 616 = 595", "Subtract 616 from both sides: -7x = -21", "Divide both sides by -7: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 119) + 21 = 12(x + 13) + 439", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 119, \"c\": 21, \"d\": 12, \"e\": 13, \"g\": 439, \"x\": 3}", "seed": "6156083174252336478", "semantic_fingerprint": "sha256:b06796a6ee7a47bac6eafefcb578a45caf2365d63a10d6c53b88baef6030cecb", "generator_version": "3.0"}
{"id": "v3_test_id_00004654", "prompt": "Evaluate: -6 / (-318)", "solution_steps": ["Divide: -6 / (-318) = 1/53"], "final_answer": "1/53", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-318)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -318}", "seed": "17177612381125995241", "semantic_fingerprint": "sha256:ace66127f8b6f9ff174495688021571bc1d223d92bcf6832bec758e684dc301a", "generator_version": "3.0"}
{"id": "v3_test_id_00004655", "prompt": "Compute: 22 - (-7) * (3 * 7)", "solution_steps": ["Multiply: 3 * 7 = 21", "Multiply: -7 * 21 = -147", "Subtract: 22 - (-147) = 169"], "final_answer": "169", "answer_type": "integer", "kind": "expression", "math_text": "22 - (-7) * (3 * 7)", "variable": null, "family": "expression_3op", "shape": "(- n (* n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": -7, \"c\": 3, \"d\": 7}", "seed": "9603468056880383611", "semantic_fingerprint": "sha256:837a305e34550cac206ef1e9d634d5649058408283224ae713da4b8fabb26bd2", "generator_version": "3.0"}
{"id": "v3_test_id_00004656", "prompt": "Calculate: (93 - (-5)) * 24", "solution_steps": ["Subtract: 93 - (-5) = 98", "Multiply: 98 * 24 = 2352"], "final_answer": "2352", "answer_type": "integer", "kind": "expression", "math_text": "(93 - (-5)) * 24", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": -5, \"c\": 24}", "seed": "6126635290345564341", "semantic_fingerprint": "sha256:ed48c13790f1fb44d0ee73b7c64d811a8ce6d22cc4c48cad04e0440ee520b24a", "generator_version": "3.0"}
{"id": "v3_test_id_00004657", "prompt": "Find x: 4(x - 224) = -6(x - 9) - 750", "solution_steps": ["Expand: 4x - 896 = -6(x - 9) - 750", "Expand: 4x - 896 = -6x + 54 - 750", "Combine constants: 4x - 896 = -6x - 696", "Add 6x to both sides: 10x - 896 = -696", "Add 896 to both sides: 10x = 200", "Divide both sides by 10: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 224) = -6(x - 9) - 750", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 224, \"c\": -6, \"d\": 9, \"f\": -750, \"x\": 20}", "seed": "7317357699790866972", "semantic_fingerprint": "sha256:400f7d265d7ca7cde5730a374b327c04d329b7f2130aca0cc7e181825354372b", "generator_version": "3.0"}
{"id": "v3_test_id_00004658", "prompt": "Solve for x: 3(x + 9) + 13 = x", "solution_steps": ["Expand: 3x + 27 + 13 = x", "Combine constants: 3x + 40 = x", "Subtract x from both sides: 2x + 40 = 0", "Subtract 40 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) + 13 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"d\": 13, \"x\": -20}", "seed": "10850834989307601749", "semantic_fingerprint": "sha256:fbae6c4ee3666fefbd3fafb8483ac287779e7c233a0b805e8d76594df57e2696", "generator_version": "3.0"}
{"id": "v3_test_id_00004659", "prompt": "What value of x satisfies -8(x + 1) = x?", "solution_steps": ["Expand: -8x - 8 = x", "Subtract x from both sides: -9x - 8 = 0", "Add 8 to both sides: -9x = 8", "Divide both sides by -9: x = -8/9"], "final_answer": "-8/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x + 1) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 1}", "seed": "13915815885410877494", "semantic_fingerprint": "sha256:0985191bb8c1369335604111a45de10fccc333daa118e6a47b7f56091dfc7043", "generator_version": "3.0"}
{"id": "v3_test_id_00004660", "prompt": "Calculate: -85 / (-199 - (-72))", "solution_steps": ["Subtract: -199 - (-72) = -127", "Divide: -85 / (-127) = 85/127"], "final_answer": "85/127", "answer_type": "rational", "kind": "expression", "math_text": "-85 / (-199 - (-72))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": -199, \"c\": -72}", "seed": "2139813566749265699", "semantic_fingerprint": "sha256:ab03459a8dc7f8e44f0bfe4634339888f198c0f779009ec12c6a6645fa8aad27", "generator_version": "3.0"}
{"id": "v3_test_id_00004661", "prompt": "Find x: -11x + 911 = x + 827", "solution_steps": ["Subtract x from both sides: -12x + 911 = 827", "Subtract 911 from both sides: -12x = -84", "Divide both sides by -12: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x + 911 = x + 827", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 911, \"d\": 827, \"x\": 7}", "seed": "4949709008911737053", "semantic_fingerprint": "sha256:757d943fef9a75b81b123b0f8dcf2f16c3aecdd4a32b0d2035772e8260eed158", "generator_version": "3.0"}
{"id": "v3_test_id_00004662", "prompt": "Compute: -56 - 0 + (-112)", "solution_steps": ["Subtract: -56 - 0 = -56", "Add: -56 + (-112) = -168"], "final_answer": "-168", "answer_type": "integer", "kind": "expression", "math_text": "-56 - 0 + (-112)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": 0, \"c\": -112}", "seed": "9863724110050296321", "semantic_fingerprint": "sha256:2f25bde0835034f7dcf2cf53239b1b108febab020a91840fce6c331343f409a8", "generator_version": "3.0"}
{"id": "v3_test_id_00004663", "prompt": "Calculate: (524 + (-4) / (-734)) * (-4)", "solution_steps": ["Divide: -4 / (-734) = 2/367", "Add: 524 + 2/367 = 192310/367", "Multiply: (192310/367) * (-4) = -769240/367"], "final_answer": "-769240/367", "answer_type": "rational", "kind": "expression", "math_text": "(524 + (-4) / (-734)) * (-4)", "variable": null, "family": "expression_3op", "shape": "(* (+ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 524, \"b\": -4, \"c\": -734, \"d\": -4}", "seed": "11958885484790116829", "semantic_fingerprint": "sha256:a113b5849da1e83ffa74e27716d60ebcc5738f37885c752b5140f29b1319c0c0", "generator_version": "3.0"}
{"id": "v3_test_id_00004664", "prompt": "Solve for x: 12x + 2 = 6x - 40", "solution_steps": ["Subtract 6x from both sides: 6x + 2 = -40", "Subtract 2 from both sides: 6x = -42", "Divide both sides by 6: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 2 = 6x - 40", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 6, \"e\": -40, \"x\": -7}", "seed": "11148180333194580806", "semantic_fingerprint": "sha256:ef32358e94312d285a6d55d5ea77e34de0731c182bab095f4ea7166c2123621f", "generator_version": "3.0"}
{"id": "v3_test_id_00004665", "prompt": "Compute: 3 * (-72 + 943 * 61) / 6", "solution_steps": ["Multiply: 943 * 61 = 57523", "Add: -72 + 57523 = 57451", "Multiply: 3 * 57451 = 172353", "Divide: 172353 / 6 = 57451/2"], "final_answer": "57451/2", "answer_type": "rational", "kind": "expression", "math_text": "3 * (-72 + 943 * 61) / 6", "variable": null, "family": "expression_4op", "shape": "(/ (* n (+ n (* n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -72, \"c\": 943, \"d\": 61, \"e\": 6}", "seed": "3623297615501380491", "semantic_fingerprint": "sha256:d568124badd45cc856c21f2be603823fcbaecf635a943de91f8d73114efc65da", "generator_version": "3.0"}
{"id": "v3_test_id_00004666", "prompt": "What value of x satisfies 3(x + 23) - 85 = 4x - 9?", "solution_steps": ["Expand: 3x + 69 - 85 = 4x - 9", "Combine constants: 3x - 16 = 4x - 9", "Subtract 4x from both sides: -x - 16 = -9", "Add 16 to both sides: -x = 7", "Divide both sides by -1: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 23) - 85 = 4x - 9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 23, \"c\": 85, \"d\": 4, \"e\": 9}", "seed": "16212744672971925847", "semantic_fingerprint": "sha256:ac8844af8fe6257b481e7dad0db7f87cda46902940f905fb5b37cd7ea8fc786f", "generator_version": "3.0"}
{"id": "v3_test_id_00004667", "prompt": "Find x: x = -12(x - 4)", "solution_steps": ["Expand: x = -12x + 48", "Add 12x to both sides: 13x = 48", "Divide both sides by 13: x = 48/13"], "final_answer": "48/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -12(x - 4)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 4}", "seed": "14208707162931569605", "semantic_fingerprint": "sha256:b68c6eb807f256cdba5fd000be3b636878405b523005f35d920b83cb0818be9c", "generator_version": "3.0"}
{"id": "v3_test_id_00004668", "prompt": "Evaluate: 86 * (-1) / (163 - 9) - 250", "solution_steps": ["Multiply: 86 * (-1) = -86", "Subtract: 163 - 9 = 154", "Divide: -86 / 154 = -43/77", "Subtract: -43/77 - 250 = -19293/77"], "final_answer": "-19293/77", "answer_type": "rational", "kind": "expression", "math_text": "86 * (-1) / (163 - 9) - 250", "variable": null, "family": "expression_4op", "shape": "(- (/ (* n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": -1, \"c\": 163, \"d\": 9, \"e\": 250}", "seed": "5384287218518135614", "semantic_fingerprint": "sha256:ec8864b0bd10803b3a0e8d312a849799312ac95ce53cd5761d5efab556089dd8", "generator_version": "3.0"}
{"id": "v3_test_id_00004669", "prompt": "Compute: 677 + (-991) + (-290) + 0", "solution_steps": ["Add: 677 + (-991) = -314", "Add: -314 + (-290) = -604", "Add: -604 + 0 = -604"], "final_answer": "-604", "answer_type": "integer", "kind": "expression", "math_text": "677 + (-991) + (-290) + 0", "variable": null, "family": "expression_3op", "shape": "(+ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 677, \"b\": -991, \"c\": -290, \"d\": 0}", "seed": "11907549039600937151", "semantic_fingerprint": "sha256:be1b501a061f2a0d8c7cf1350f33b3d6ea87bbfaa57b52a4ab68eb215090091b", "generator_version": "3.0"}
{"id": "v3_test_id_00004670", "prompt": "What value of x satisfies 2x - 42 = x + 6?", "solution_steps": ["Subtract x from both sides: x - 42 = 6", "Add 42 to both sides: x = 48"], "final_answer": "48", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 42 = x + 6", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 42, \"c\": 6}", "seed": "17217170878102413673", "semantic_fingerprint": "sha256:c26b84b748271615643d09955ef0dea74456548879755533c38987930830b719", "generator_version": "3.0"}
{"id": "v3_test_id_00004671", "prompt": "What value of x satisfies 6x = 2(x - 83) + 174?", "solution_steps": ["Expand: 6x = 2x - 166 + 174", "Combine constants: 6x = 2x + 8", "Subtract 2x from both sides: 4x = 8", "Divide both sides by 4: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = 2(x - 83) + 174", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 83, \"e\": 174, \"x\": 2}", "seed": "11005340692542784835", "semantic_fingerprint": "sha256:06225eea85d41d80e5dad8ba9dba50e40f9c1b94fe507df6cddcc6b74533af61", "generator_version": "3.0"}
{"id": "v3_test_id_00004672", "prompt": "Evaluate: 73 * 469", "solution_steps": ["Multiply: 73 * 469 = 34237"], "final_answer": "34237", "answer_type": "integer", "kind": "expression", "math_text": "73 * 469", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 469}", "seed": "16826012256717755284", "semantic_fingerprint": "sha256:bfe04ab5eef187265b33476bf2108deeba6c8918c872fe7b99ee84dbb823006c", "generator_version": "3.0"}
{"id": "v3_test_id_00004673", "prompt": "Calculate: -14 - (-2 + (-8) * (-1))", "solution_steps": ["Multiply: -8 * (-1) = 8", "Add: -2 + 8 = 6", "Subtract: -14 - 6 = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "expression", "math_text": "-14 - (-2 + (-8) * (-1))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -14, \"b\": -2, \"c\": -8, \"d\": -1}", "seed": "10364869116783034075", "semantic_fingerprint": "sha256:52410355466dd190b185be69cdeef24353d329993ab67a1b16a52a3dd5b887e4", "generator_version": "3.0"}
{"id": "v3_test_id_00004674", "prompt": "What value of x satisfies x - 104 = 2(x - 52)?", "solution_steps": ["Expand: x - 104 = 2x - 104", "Subtract 2x from both sides: -x - 104 = -104", "Add 104 to both sides: -x = 0", "Divide both sides by -1: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 104 = 2(x - 52)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 52, \"d\": -104, \"x\": 0}", "seed": "12993256609712901180", "semantic_fingerprint": "sha256:905d6c7b1cc7ea71f5516964f7ad0c81aece92ee49b195e4b58e5479df43f628", "generator_version": "3.0"}
{"id": "v3_test_id_00004675", "prompt": "Evaluate: 5 - (-7) - (-8)", "solution_steps": ["Subtract: 5 - (-7) = 12", "Subtract: 12 - (-8) = 20"], "final_answer": "20", "answer_type": "integer", "kind": "expression", "math_text": "5 - (-7) - (-8)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -7, \"c\": -8}", "seed": "3111730638954566432", "semantic_fingerprint": "sha256:8ebf926f1e32ec8a8440d9bc42e34c3832ac9c572dd510c323482926c4c2168b", "generator_version": "3.0"}
{"id": "v3_test_id_00004676", "prompt": "Calculate: 0 * (-412 - 12)", "solution_steps": ["Subtract: -412 - 12 = -424", "Multiply: 0 * (-424) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-412 - 12)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -412, \"c\": 12}", "seed": "12285892664944467934", "semantic_fingerprint": "sha256:ccc2270c488f771619b41f1e4634c9c6e3bbbf82ccf003dd9d0416953f4582c1", "generator_version": "3.0"}
{"id": "v3_test_id_00004677", "prompt": "Find x: 9(x - 7) = x - 55", "solution_steps": ["Expand: 9x - 63 = x - 55", "Subtract x from both sides: 8x - 63 = -55", "Add 63 to 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) = x - 55", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"d\": -55, \"x\": 1}", "seed": "8458184120696525728", "semantic_fingerprint": "sha256:dc04d5658e20919d560ad1afd7d8b770464fe57958768acb80898340c34b8dd6", "generator_version": "3.0"}
{"id": "v3_test_id_00004678", "prompt": "Calculate: 23 + (-626 - (-824))", "solution_steps": ["Subtract: -626 - (-824) = 198", "Add: 23 + 198 = 221"], "final_answer": "221", "answer_type": "integer", "kind": "expression", "math_text": "23 + (-626 - (-824))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": -626, \"c\": -824}", "seed": "12801856453072982021", "semantic_fingerprint": "sha256:37f4ca36acc7eea2a4aee847b7aee2a4bbafe22af012569747e880c13642c1d8", "generator_version": "3.0"}
{"id": "v3_test_id_00004679", "prompt": "Calculate: 54 * 49 - 0", "solution_steps": ["Multiply: 54 * 49 = 2646", "Subtract: 2646 - 0 = 2646"], "final_answer": "2646", "answer_type": "integer", "kind": "expression", "math_text": "54 * 49 - 0", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 49, \"c\": 0}", "seed": "871356304259062789", "semantic_fingerprint": "sha256:101390e7c864148ee71db8d48e98ae544bf3f019f7e34a2677961bb4babe4fdc", "generator_version": "3.0"}
{"id": "v3_test_id_00004680", "prompt": "Calculate: -950 - (-116 - (-4) - 54)", "solution_steps": ["Subtract: -116 - (-4) = -112", "Subtract: -112 - 54 = -166", "Subtract: -950 - (-166) = -784"], "final_answer": "-784", "answer_type": "integer", "kind": "expression", "math_text": "-950 - (-116 - (-4) - 54)", "variable": null, "family": "expression_3op", "shape": "(- n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -950, \"b\": -116, \"c\": -4, \"d\": 54}", "seed": "18242524633294420556", "semantic_fingerprint": "sha256:6d4beec593a5400a3b13cebd2527094d2c1dc340bf1be6b76944c8070db09900", "generator_version": "3.0"}
{"id": "v3_test_id_00004681", "prompt": "Compute: -7 * (-7) / (-2 / (-1 + (-817)) + 0)", "solution_steps": ["Multiply: -7 * (-7) = 49", "Add: -1 + (-817) = -818", "Divide: -2 / (-818) = 1/409", "Add: 1/409 + 0 = 1/409", "Divide: 49 / (1/409) = 20041"], "final_answer": "20041", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (-7) / (-2 / (-1 + (-817)) + 0)", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (+ (/ n (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -7, \"c\": -2, \"d\": -1, \"e\": -817, \"f\": 0}", "seed": "8772914986951416408", "semantic_fingerprint": "sha256:b815756f94412bb69675b60173587956d6d5cf2e491052446dc39fb0c8fe0fee", "generator_version": "3.0"}
{"id": "v3_test_id_00004682", "prompt": "Evaluate: 820 + (0 + 0) / (-6)", "solution_steps": ["Add: 0 + 0 = 0", "Divide: 0 / (-6) = 0", "Add: 820 + 0 = 820"], "final_answer": "820", "answer_type": "integer", "kind": "expression", "math_text": "820 + (0 + 0) / (-6)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 820, \"b\": 0, \"c\": 0, \"d\": -6}", "seed": "5672498112022154551", "semantic_fingerprint": "sha256:a0020fd0cc355211e70023b0718ed95e8d964baf2f0799b99aa1193160441016", "generator_version": "3.0"}
{"id": "v3_test_id_00004683", "prompt": "What is (-2 / (-9) + (-83)) / 2?", "solution_steps": ["Divide: -2 / (-9) = 2/9", "Add: 2/9 + (-83) = -745/9", "Divide: (-745/9) / 2 = -745/18"], "final_answer": "-745/18", "answer_type": "rational", "kind": "expression", "math_text": "(-2 / (-9) + (-83)) / 2", "variable": null, "family": "expression_3op", "shape": "(/ (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -9, \"c\": -83, \"d\": 2}", "seed": "13321566588267371043", "semantic_fingerprint": "sha256:2a60e4ba11eb1dcdd9f9e7aa238c7e6f5ffd4c8a7a4788a2879a7739e702a0d2", "generator_version": "3.0"}
{"id": "v3_test_id_00004684", "prompt": "Evaluate: -74 - (-194) * (37 / (-94) / 55)", "solution_steps": ["Divide: 37 / (-94) = -37/94", "Divide: (-37/94) / 55 = -37/5170", "Multiply: -194 * (-37/5170) = 3589/2585", "Subtract: -74 - 3589/2585 = -194879/2585"], "final_answer": "-194879/2585", "answer_type": "rational", "kind": "expression", "math_text": "-74 - (-194) * (37 / (-94) / 55)", "variable": null, "family": "expression_4op", "shape": "(- n (* n (/ (/ n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -74, \"b\": -194, \"c\": 37, \"d\": -94, \"e\": 55}", "seed": "16709840008806645018", "semantic_fingerprint": "sha256:12a5268daa6a504557257d6188f4a14135c4cd35ec7baea036d309273e3583a2", "generator_version": "3.0"}
{"id": "v3_test_id_00004685", "prompt": "Compute: 65 - (-46) + (73 - (-30))", "solution_steps": ["Subtract: 65 - (-46) = 111", "Subtract: 73 - (-30) = 103", "Add: 111 + 103 = 214"], "final_answer": "214", "answer_type": "integer", "kind": "expression", "math_text": "65 - (-46) + (73 - (-30))", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": -46, \"c\": 73, \"d\": -30}", "seed": "15755828682849667572", "semantic_fingerprint": "sha256:601b74d1260c07f6d6b1a30d2dab88dc8363f3e0ec622c7a5587b94fe5dff7b7", "generator_version": "3.0"}
{"id": "v3_test_id_00004686", "prompt": "Compute: 929 * (5 / (1 + 881))", "solution_steps": ["Add: 1 + 881 = 882", "Divide: 5 / 882 = 5/882", "Multiply: 929 * (5/882) = 4645/882"], "final_answer": "4645/882", "answer_type": "rational", "kind": "expression", "math_text": "929 * (5 / (1 + 881))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 929, \"b\": 5, \"c\": 1, \"d\": 881}", "seed": "15020238011995826860", "semantic_fingerprint": "sha256:577b3de8f569710731ade3df4671e52afff21d047076050f6db66c3905950e63", "generator_version": "3.0"}
{"id": "v3_test_id_00004687", "prompt": "Solve for x: -11(x + 903) + 12 = -12(x - 71) - 738", "solution_steps": ["Expand: -11x - 9933 + 12 = -12(x - 71) - 738", "Expand: -11x - 9933 + 12 = -12x + 852 - 738", "Combine constants: -11x - 9921 = -12x + 852 - 738", "Combine constants: -11x - 9921 = -12x + 114", "Add 12x to both sides: x - 9921 = 114", "Add 9921 to both sides: x = 10035"], "final_answer": "10035", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 903) + 12 = -12(x - 71) - 738", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 903, \"c\": 12, \"d\": -12, \"e\": 71, \"f\": 738}", "seed": "13088399579047360685", "semantic_fingerprint": "sha256:5d10d42f00db2bc8c3948e3f7ccd3d3c76c6d85dea3b5cf9977eadb59ee43bcc", "generator_version": "3.0"}
{"id": "v3_test_id_00004688", "prompt": "Evaluate: 634 + (-1) + 274 / (-57 - (-9))", "solution_steps": ["Add: 634 + (-1) = 633", "Subtract: -57 - (-9) = -48", "Divide: 274 / (-48) = -137/24", "Add: 633 + (-137/24) = 15055/24"], "final_answer": "15055/24", "answer_type": "rational", "kind": "expression", "math_text": "634 + (-1) + 274 / (-57 - (-9))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 634, \"b\": -1, \"c\": 274, \"d\": -57, \"e\": -9}", "seed": "4305806600580309657", "semantic_fingerprint": "sha256:4740d554137cd4c700b7ffbf9d58d6deeb7e5eaa85fc6974a92a278dc47843e6", "generator_version": "3.0"}
{"id": "v3_test_id_00004689", "prompt": "Calculate: (-27 - 13 / 414) * 96", "solution_steps": ["Divide: 13 / 414 = 13/414", "Subtract: -27 - 13/414 = -11191/414", "Multiply: (-11191/414) * 96 = -179056/69"], "final_answer": "-179056/69", "answer_type": "rational", "kind": "expression", "math_text": "(-27 - 13 / 414) * 96", "variable": null, "family": "expression_3op", "shape": "(* (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": 13, \"c\": 414, \"d\": 96}", "seed": "8686729795041023086", "semantic_fingerprint": "sha256:6f44344c7732a1567875a74121e99c44967a1d9a1b58368f03717394f2077e3b", "generator_version": "3.0"}
{"id": "v3_test_id_00004690", "prompt": "Calculate: (7 - (-61)) / (-6 / (-2))", "solution_steps": ["Subtract: 7 - (-61) = 68", "Divide: -6 / (-2) = 3", "Divide: 68 / 3 = 68/3"], "final_answer": "68/3", "answer_type": "rational", "kind": "expression", "math_text": "(7 - (-61)) / (-6 / (-2))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -61, \"c\": -6, \"d\": -2}", "seed": "5829942663910296032", "semantic_fingerprint": "sha256:05abe9aae7d44437351984199eb0fdabeaf270493ce04b0bb77cfa6e1bcfad1f", "generator_version": "3.0"}
{"id": "v3_test_id_00004691", "prompt": "What is -109 + (-7)?", "solution_steps": ["Add: -109 + (-7) = -116"], "final_answer": "-116", "answer_type": "integer", "kind": "expression", "math_text": "-109 + (-7)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -109, \"b\": -7}", "seed": "6196698177274567495", "semantic_fingerprint": "sha256:aae0a0ec9f9b2a5b394d59ae03474d293f14db6c90aaf5497d1d6cc1eff85d0b", "generator_version": "3.0"}
{"id": "v3_test_id_00004692", "prompt": "Calculate: 42 - (-949) + (27 - 47 - 8) - 90", "solution_steps": ["Subtract: 42 - (-949) = 991", "Subtract: 27 - 47 = -20", "Subtract: -20 - 8 = -28", "Add: 991 + (-28) = 963", "Subtract: 963 - 90 = 873"], "final_answer": "873", "answer_type": "integer", "kind": "expression", "math_text": "42 - (-949) + (27 - 47 - 8) - 90", "variable": null, "family": "expression_5op", "shape": "(- (+ (- n n) (- (- n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": -949, \"c\": 27, \"d\": 47, \"e\": 8, \"f\": 90}", "seed": "9555417194228938887", "semantic_fingerprint": "sha256:36002041ed53e569c3a0ae833d54544c75791ef7b67372c8e9d9c279ed489e86", "generator_version": "3.0"}
{"id": "v3_test_id_00004693", "prompt": "What is 716 - (-81) / (196 + (-16))?", "solution_steps": ["Add: 196 + (-16) = 180", "Divide: -81 / 180 = -9/20", "Subtract: 716 - (-9/20) = 14329/20"], "final_answer": "14329/20", "answer_type": "rational", "kind": "expression", "math_text": "716 - (-81) / (196 + (-16))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 716, \"b\": -81, \"c\": 196, \"d\": -16}", "seed": "7469800006599474747", "semantic_fingerprint": "sha256:f9a3ca323f94e775c8d9c33f3ac8dde0054fef814a19af25c5d01835c5329ce8", "generator_version": "3.0"}
{"id": "v3_test_id_00004694", "prompt": "What is (214 - 219 + (-3)) / (-80 * 59)?", "solution_steps": ["Subtract: 214 - 219 = -5", "Add: -5 + (-3) = -8", "Multiply: -80 * 59 = -4720", "Divide: -8 / (-4720) = 1/590"], "final_answer": "1/590", "answer_type": "rational", "kind": "expression", "math_text": "(214 - 219 + (-3)) / (-80 * 59)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 214, \"b\": 219, \"c\": -3, \"d\": -80, \"e\": 59}", "seed": "9566319107808993708", "semantic_fingerprint": "sha256:fa8d395814568118e81d9e59d1f92f9bc8d1071fecb70446d72b64b29f4b6047", "generator_version": "3.0"}
{"id": "v3_test_id_00004695", "prompt": "Compute: -59 + 5 * (-81) + (-65 / 9 - (-18))", "solution_steps": ["Multiply: 5 * (-81) = -405", "Add: -59 + (-405) = -464", "Divide: -65 / 9 = -65/9", "Subtract: -65/9 - (-18) = 97/9", "Add: -464 + 97/9 = -4079/9"], "final_answer": "-4079/9", "answer_type": "rational", "kind": "expression", "math_text": "-59 + 5 * (-81) + (-65 / 9 - (-18))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (* n n)) (- (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": 5, \"c\": -81, \"d\": -65, \"e\": 9, \"f\": -18}", "seed": "8403304090631734400", "semantic_fingerprint": "sha256:1120dc629d2e50510627c77bf1e4aeeaea898143896fcc9ba2319069057a3f3b", "generator_version": "3.0"}
{"id": "v3_test_id_00004696", "prompt": "Compute: 26 + 72 - 0", "solution_steps": ["Add: 26 + 72 = 98", "Subtract: 98 - 0 = 98"], "final_answer": "98", "answer_type": "integer", "kind": "expression", "math_text": "26 + 72 - 0", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": 72, \"c\": 0}", "seed": "15456425587985171643", "semantic_fingerprint": "sha256:808cfbee2a7edeaef39f3626ed0afe8e795587c355acc7c8c9be6de755955b9d", "generator_version": "3.0"}
{"id": "v3_test_id_00004697", "prompt": "Compute: -84 * (-686) / 96", "solution_steps": ["Multiply: -84 * (-686) = 57624", "Divide: 57624 / 96 = 2401/4"], "final_answer": "2401/4", "answer_type": "rational", "kind": "expression", "math_text": "-84 * (-686) / 96", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": -686, \"c\": 96}", "seed": "6731344009090304915", "semantic_fingerprint": "sha256:6ccac2ffbc8287797db1b9df08758f71eb8bd29e62ccd757c280ae2e77353faf", "generator_version": "3.0"}
{"id": "v3_test_id_00004698", "prompt": "Compute: 4 + (-160) + (-9 + 7)", "solution_steps": ["Add: 4 + (-160) = -156", "Add: -9 + 7 = -2", "Add: -156 + (-2) = -158"], "final_answer": "-158", "answer_type": "integer", "kind": "expression", "math_text": "4 + (-160) + (-9 + 7)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -160, \"c\": -9, \"d\": 7}", "seed": "15642667186371561924", "semantic_fingerprint": "sha256:fe3b055a20268245b425716e7cf642b21ac7495009c0a2e72f0760698f62028f", "generator_version": "3.0"}
{"id": "v3_test_id_00004699", "prompt": "Find x: 8x - 7 = x - 98", "solution_steps": ["Subtract x from both sides: 7x - 7 = -98", "Add 7 to both sides: 7x = -91", "Divide both sides by 7: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 7 = x - 98", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"d\": -98, \"x\": -13}", "seed": "17991741985502674235", "semantic_fingerprint": "sha256:89522f9a02b3be120168373428f680b9a0b9f127f300be92e3ca6357ea79a4be", "generator_version": "3.0"}
{"id": "v3_test_id_00004700", "prompt": "Solve the equation 2(x + 1) - 50 = -10x for x.", "solution_steps": ["Expand: 2x + 2 - 50 = -10x", "Combine constants: 2x - 48 = -10x", "Add 10x to both sides: 12x - 48 = 0", "Add 48 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 + 1) - 50 = -10x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 1, \"c\": -10, \"e\": -50, \"x\": 4}", "seed": "9658679941730648440", "semantic_fingerprint": "sha256:50c4e1b093996c657c5a8a370270c3c2fee71494f9a1b0ea351278474110b955", "generator_version": "3.0"}
{"id": "v3_test_id_00004701", "prompt": "What is -6 * (0 + (-3 + (-2)))?", "solution_steps": ["Add: -3 + (-2) = -5", "Add: 0 + (-5) = -5", "Multiply: -6 * (-5) = 30"], "final_answer": "30", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (0 + (-3 + (-2)))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 0, \"c\": -3, \"d\": -2}", "seed": "6474354259129691921", "semantic_fingerprint": "sha256:630ddb5c7487f7b8dc280713a92aad7d562a9b15d859ddbb09b57dd986a3dfdf", "generator_version": "3.0"}
{"id": "v3_test_id_00004702", "prompt": "What is -6 * (-28) - (5 - 91)?", "solution_steps": ["Multiply: -6 * (-28) = 168", "Subtract: 5 - 91 = -86", "Subtract: 168 - (-86) = 254"], "final_answer": "254", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-28) - (5 - 91)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -28, \"c\": 5, \"d\": 91}", "seed": "5729539836872577762", "semantic_fingerprint": "sha256:11f0c2c398663f2cb6cfd63432de9e63002295dbc29cf8f0ace5d358ce8b1c0c", "generator_version": "3.0"}
{"id": "v3_test_id_00004703", "prompt": "Compute: -52 + 78", "solution_steps": ["Add: -52 + 78 = 26"], "final_answer": "26", "answer_type": "integer", "kind": "expression", "math_text": "-52 + 78", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": 78}", "seed": "10861591818672114165", "semantic_fingerprint": "sha256:cb414da1b34fb62ad08df11edcc8643e6c80e5b335d31b6df4e26f692212a43e", "generator_version": "3.0"}
{"id": "v3_test_id_00004704", "prompt": "Evaluate: 88 + 9", "solution_steps": ["Add: 88 + 9 = 97"], "final_answer": "97", "answer_type": "integer", "kind": "expression", "math_text": "88 + 9", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": 9}", "seed": "15641964993701621728", "semantic_fingerprint": "sha256:18de2d6c2bf159214dc5e4bf36e1771f0e5d663705b0603ba50e21ae03b49123", "generator_version": "3.0"}
{"id": "v3_test_id_00004705", "prompt": "Calculate: 86 - (-253) * 56 / 86 / (3 * 94)", "solution_steps": ["Multiply: -253 * 56 = -14168", "Divide: -14168 / 86 = -7084/43", "Multiply: 3 * 94 = 282", "Divide: (-7084/43) / 282 = -3542/6063", "Subtract: 86 - (-3542/6063) = 524960/6063"], "final_answer": "524960/6063", "answer_type": "rational", "kind": "expression", "math_text": "86 - (-253) * 56 / 86 / (3 * 94)", "variable": null, "family": "expression_5op", "shape": "(- n (/ (/ (* n n) n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": -253, \"c\": 56, \"d\": 86, \"e\": 3, \"f\": 94}", "seed": "2385142558275126332", "semantic_fingerprint": "sha256:a6cfb49dc607e8216aaae4881461aadfa4692bb5cdfb5ce7a0cfc6d8fa7f275a", "generator_version": "3.0"}
{"id": "v3_test_id_00004706", "prompt": "Calculate: 261 - (-9)", "solution_steps": ["Subtract: 261 - (-9) = 270"], "final_answer": "270", "answer_type": "integer", "kind": "expression", "math_text": "261 - (-9)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 261, \"b\": -9}", "seed": "15884257871352426682", "semantic_fingerprint": "sha256:5dc7a9a0a592c12ba834ea7434e37e5296960e1b7e125aabc7739e0835f24bde", "generator_version": "3.0"}
{"id": "v3_test_id_00004707", "prompt": "What is -8 / (-17 * 310)?", "solution_steps": ["Multiply: -17 * 310 = -5270", "Divide: -8 / (-5270) = 4/2635"], "final_answer": "4/2635", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (-17 * 310)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -17, \"c\": 310}", "seed": "6077396615966870815", "semantic_fingerprint": "sha256:accc8a2fceab6ff0eca1b45a88a2ee21562f87c9684094c6c95597b8ecb528ff", "generator_version": "3.0"}
{"id": "v3_test_id_00004708", "prompt": "Solve for x: x = -7(x + 563)", "solution_steps": ["Expand: x = -7x - 3941", "Add 7x to both sides: 8x = -3941", "Divide both sides by 8: x = -3941/8"], "final_answer": "-3941/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -7(x + 563)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 563}", "seed": "6334900510256254636", "semantic_fingerprint": "sha256:33931835a4094542e24691118e0603981b19013e725a21d0b321c6fe34acaefc", "generator_version": "3.0"}
{"id": "v3_test_id_00004709", "prompt": "What is -8 - (-91) + (-40) * (-480)?", "solution_steps": ["Subtract: -8 - (-91) = 83", "Multiply: -40 * (-480) = 19200", "Add: 83 + 19200 = 19283"], "final_answer": "19283", "answer_type": "integer", "kind": "expression", "math_text": "-8 - (-91) + (-40) * (-480)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -91, \"c\": -40, \"d\": -480}", "seed": "9864716360508462411", "semantic_fingerprint": "sha256:c0a7f07b444921d4d8dbd28fe2752b4ab97b37e75273ab12f5c3409ea141f4e8", "generator_version": "3.0"}
{"id": "v3_test_id_00004710", "prompt": "Solve the equation x - 28 = 2x - 8 for x.", "solution_steps": ["Subtract 2x from both sides: -x - 28 = -8", "Add 28 to both sides: -x = 20", "Divide both sides by -1: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 28 = 2x - 8", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": 2, \"d\": -8, \"x\": -20}", "seed": "12129421811724954710", "semantic_fingerprint": "sha256:b014fd044f2cc4d000dffd4e96bad88d67e9568b8c4c7a952a0670b8a86d9359", "generator_version": "3.0"}
{"id": "v3_test_id_00004711", "prompt": "Calculate: 196 - (-44 + (-56 + (-97)))", "solution_steps": ["Add: -56 + (-97) = -153", "Add: -44 + (-153) = -197", "Subtract: 196 - (-197) = 393"], "final_answer": "393", "answer_type": "integer", "kind": "expression", "math_text": "196 - (-44 + (-56 + (-97)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 196, \"b\": -44, \"c\": -56, \"d\": -97}", "seed": "14514213751248521488", "semantic_fingerprint": "sha256:b164abe25c63eb8b6efbb291e7a0431f7fe8bf1ec9b64bd69621185c3c6524f3", "generator_version": "3.0"}
{"id": "v3_test_id_00004712", "prompt": "Evaluate: -852 / 72", "solution_steps": ["Divide: -852 / 72 = -71/6"], "final_answer": "-71/6", "answer_type": "rational", "kind": "expression", "math_text": "-852 / 72", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -852, \"b\": 72}", "seed": "10037936614467302145", "semantic_fingerprint": "sha256:a7d801b71fe4cec335a36f53da311744889d35d55be955068a2e556ced270c5a", "generator_version": "3.0"}
{"id": "v3_test_id_00004713", "prompt": "What value of x satisfies 9x = -3x?", "solution_steps": ["Add 3x to both sides: 12x = 0", "Divide both sides by 12: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = -3x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -3}", "seed": "14908159945532515621", "semantic_fingerprint": "sha256:403337e9aa5e4456d73830976d5356ff879455d1bb379c1a64ec5f30134916ce", "generator_version": "3.0"}
{"id": "v3_test_id_00004714", "prompt": "Compute: 37 - 51 + (-184) / (417 - 3) / 877", "solution_steps": ["Subtract: 37 - 51 = -14", "Subtract: 417 - 3 = 414", "Divide: -184 / 414 = -4/9", "Divide: (-4/9) / 877 = -4/7893", "Add: -14 + (-4/7893) = -110506/7893"], "final_answer": "-110506/7893", "answer_type": "rational", "kind": "expression", "math_text": "37 - 51 + (-184) / (417 - 3) / 877", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (/ (/ n (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": 51, \"c\": -184, \"d\": 417, \"e\": 3, \"f\": 877}", "seed": "338137316215190734", "semantic_fingerprint": "sha256:afaa6c0479bca6dcc5b2c2fbc328ede60caf22bdda1ec30a3823361019957b56", "generator_version": "3.0"}
{"id": "v3_test_id_00004715", "prompt": "What is -52 - (-31) - 800?", "solution_steps": ["Subtract: -52 - (-31) = -21", "Subtract: -21 - 800 = -821"], "final_answer": "-821", "answer_type": "integer", "kind": "expression", "math_text": "-52 - (-31) - 800", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": -31, \"c\": 800}", "seed": "17945578743342761277", "semantic_fingerprint": "sha256:0148a80f6a85b5326f59b75b759dd90724d69fe1075977c2dfe3f8463aef61c8", "generator_version": "3.0"}
{"id": "v3_test_id_00004716", "prompt": "Evaluate: -92 + 25 - (-654) * (-64)", "solution_steps": ["Add: -92 + 25 = -67", "Multiply: -654 * (-64) = 41856", "Subtract: -67 - 41856 = -41923"], "final_answer": "-41923", "answer_type": "integer", "kind": "expression", "math_text": "-92 + 25 - (-654) * (-64)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": 25, \"c\": -654, \"d\": -64}", "seed": "12718996953062002248", "semantic_fingerprint": "sha256:925be38ca2867cba070b758986404439c7b5ed6d6f4e7f83910c09597ae5a15a", "generator_version": "3.0"}
{"id": "v3_test_id_00004717", "prompt": "What is (708 - (-5)) / (-59 / 9)?", "solution_steps": ["Subtract: 708 - (-5) = 713", "Divide: -59 / 9 = -59/9", "Divide: 713 / (-59/9) = -6417/59"], "final_answer": "-6417/59", "answer_type": "rational", "kind": "expression", "math_text": "(708 - (-5)) / (-59 / 9)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 708, \"b\": -5, \"c\": -59, \"d\": 9}", "seed": "699775818721135362", "semantic_fingerprint": "sha256:9454d32c30a78b6f83c22f151520167dbaa3375d06724ed59886e34d261da0a6", "generator_version": "3.0"}
{"id": "v3_test_id_00004718", "prompt": "Compute: 92 - 541 - (-403)", "solution_steps": ["Subtract: 92 - 541 = -449", "Subtract: -449 - (-403) = -46"], "final_answer": "-46", "answer_type": "integer", "kind": "expression", "math_text": "92 - 541 - (-403)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": 541, \"c\": -403}", "seed": "16295239210090101360", "semantic_fingerprint": "sha256:f3b34c1982a85f8cf305fb39e54d8995f7a09c81b2a3e7ec82300f1132c5aac7", "generator_version": "3.0"}
{"id": "v3_test_id_00004719", "prompt": "Evaluate: -5 / (-405 / 138)", "solution_steps": ["Divide: -405 / 138 = -135/46", "Divide: -5 / (-135/46) = 46/27"], "final_answer": "46/27", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-405 / 138)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -405, \"c\": 138}", "seed": "13803120858054121825", "semantic_fingerprint": "sha256:8f6b978b46d5223b2bedb4acd75779213f88c60bd0a55f23cfe3397f06ea711e", "generator_version": "3.0"}
{"id": "v3_test_id_00004720", "prompt": "What is -808 / (-3 + 1)?", "solution_steps": ["Add: -3 + 1 = -2", "Divide: -808 / (-2) = 404"], "final_answer": "404", "answer_type": "integer", "kind": "expression", "math_text": "-808 / (-3 + 1)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -808, \"b\": -3, \"c\": 1}", "seed": "10144493621976879415", "semantic_fingerprint": "sha256:a7c158325268e669a5346b07d395a6adee68f581f93e8ffae9ae3686917f6354", "generator_version": "3.0"}
{"id": "v3_test_id_00004721", "prompt": "Compute: -42 / (34 * (-3) - (-7))", "solution_steps": ["Multiply: 34 * (-3) = -102", "Subtract: -102 - (-7) = -95", "Divide: -42 / (-95) = 42/95"], "final_answer": "42/95", "answer_type": "rational", "kind": "expression", "math_text": "-42 / (34 * (-3) - (-7))", "variable": null, "family": "expression_3op", "shape": "(/ n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": 34, \"c\": -3, \"d\": -7}", "seed": "15373872840047730452", "semantic_fingerprint": "sha256:e8fffa05ba8221b4a3962c234e35ea38f1fe8ba35f4bf52718caea8c556a4e04", "generator_version": "3.0"}
{"id": "v3_test_id_00004722", "prompt": "Solve for x: 7x + 711 = -4(x - 197)", "solution_steps": ["Expand: 7x + 711 = -4x + 788", "Add 4x to both sides: 11x + 711 = 788", "Subtract 711 from both sides: 11x = 77", "Divide both sides by 11: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 711 = -4(x - 197)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -4, \"c\": 197, \"e\": 711, \"x\": 7}", "seed": "4740046000490439954", "semantic_fingerprint": "sha256:fe1dc8d7b001fd936f648cc4b65d137081f648db3ee6350f0d1017c0d9854d86", "generator_version": "3.0"}
{"id": "v3_test_id_00004723", "prompt": "Compute: 888 + (-6) - (86 - (-6 - (0 - (-72))))", "solution_steps": ["Add: 888 + (-6) = 882", "Subtract: 0 - (-72) = 72", "Subtract: -6 - 72 = -78", "Subtract: 86 - (-78) = 164", "Subtract: 882 - 164 = 718"], "final_answer": "718", "answer_type": "integer", "kind": "expression", "math_text": "888 + (-6) - (86 - (-6 - (0 - (-72))))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (- n (- n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 888, \"b\": -6, \"c\": 86, \"d\": -6, \"e\": 0, \"f\": -72}", "seed": "6838815628670861520", "semantic_fingerprint": "sha256:726d0a9b883d825f66ee3891c419a24ba86ad34b0b3a8bf8811bcafaf16474f7", "generator_version": "3.0"}
{"id": "v3_test_id_00004724", "prompt": "Compute: (893 - (-8)) / (-4 - (-181))", "solution_steps": ["Subtract: 893 - (-8) = 901", "Subtract: -4 - (-181) = 177", "Divide: 901 / 177 = 901/177"], "final_answer": "901/177", "answer_type": "rational", "kind": "expression", "math_text": "(893 - (-8)) / (-4 - (-181))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 893, \"b\": -8, \"c\": -4, \"d\": -181}", "seed": "3093121073590923104", "semantic_fingerprint": "sha256:74f1e2a2af327e331f05125c4389a956e0438bb9a9664149e698062c5c5789a5", "generator_version": "3.0"}
{"id": "v3_test_id_00004725", "prompt": "Find x: 8(x + 313) = 3(x - 3)", "solution_steps": ["Expand: 8x + 2504 = 3(x - 3)", "Expand: 8x + 2504 = 3x - 9", "Subtract 3x from both sides: 5x + 2504 = -9", "Subtract 2504 from both sides: 5x = -2513", "Divide both sides by 5: x = -2513/5"], "final_answer": "-2513/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 313) = 3(x - 3)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 313, \"c\": 3, \"d\": 3}", "seed": "17619569009746292251", "semantic_fingerprint": "sha256:f3ffcdbcb2303d0e7242c48477ecc4cce80309f3760396b33db75dd53820606f", "generator_version": "3.0"}
{"id": "v3_test_id_00004726", "prompt": "Calculate: 807 + (36 + 94)", "solution_steps": ["Add: 36 + 94 = 130", "Add: 807 + 130 = 937"], "final_answer": "937", "answer_type": "integer", "kind": "expression", "math_text": "807 + (36 + 94)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 807, \"b\": 36, \"c\": 94}", "seed": "2436239724254456320", "semantic_fingerprint": "sha256:55bbc8821420dc1a261155dbb7d9b519a2678aef572b8b804c69a3c7373f3939", "generator_version": "3.0"}
{"id": "v3_test_id_00004727", "prompt": "What is 3 * ((81 + (-91)) / 238)?", "solution_steps": ["Add: 81 + (-91) = -10", "Divide: -10 / 238 = -5/119", "Multiply: 3 * (-5/119) = -15/119"], "final_answer": "-15/119", "answer_type": "rational", "kind": "expression", "math_text": "3 * ((81 + (-91)) / 238)", "variable": null, "family": "expression_3op", "shape": "(* n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 81, \"c\": -91, \"d\": 238}", "seed": "14242646542781522634", "semantic_fingerprint": "sha256:24acd1bd49ca3a35e7e2ccf1a1ca38900490914f9de3308fdcb907c38640167e", "generator_version": "3.0"}
{"id": "v3_test_id_00004728", "prompt": "Compute: (-77 + (-8)) * (304 * 422 / (-500))", "solution_steps": ["Add: -77 + (-8) = -85", "Multiply: 304 * 422 = 128288", "Divide: 128288 / (-500) = -32072/125", "Multiply: -85 * (-32072/125) = 545224/25"], "final_answer": "545224/25", "answer_type": "rational", "kind": "expression", "math_text": "(-77 + (-8)) * (304 * 422 / (-500))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": -8, \"c\": 304, \"d\": 422, \"e\": -500}", "seed": "333756659613967077", "semantic_fingerprint": "sha256:4dafab3952f867ecf8a4077699f0ff80f64a5e7ff168ea3c069ea154c3607cea", "generator_version": "3.0"}
{"id": "v3_test_id_00004729", "prompt": "Evaluate: -935 - (-4)", "solution_steps": ["Subtract: -935 - (-4) = -931"], "final_answer": "-931", "answer_type": "integer", "kind": "expression", "math_text": "-935 - (-4)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -935, \"b\": -4}", "seed": "18350307893614709442", "semantic_fingerprint": "sha256:6978c13223c9dc7e77a1bdce7d58fb934860485e60109c7912a3d75d89d88017", "generator_version": "3.0"}
{"id": "v3_test_id_00004730", "prompt": "Calculate: 800 * (788 + (-94))", "solution_steps": ["Add: 788 + (-94) = 694", "Multiply: 800 * 694 = 555200"], "final_answer": "555200", "answer_type": "integer", "kind": "expression", "math_text": "800 * (788 + (-94))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 800, \"b\": 788, \"c\": -94}", "seed": "4844357175008710142", "semantic_fingerprint": "sha256:381c68e7096215a244bb97eb9f0c7736c06dfe134f7cd3cccf1523dc2e47d40c", "generator_version": "3.0"}
{"id": "v3_test_id_00004731", "prompt": "Find x: 8x + 89 = 9x + 407", "solution_steps": ["Subtract 9x from both sides: -x + 89 = 407", "Subtract 89 from both sides: -x = 318", "Divide both sides by -1: x = -318"], "final_answer": "-318", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x + 89 = 9x + 407", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 89, \"c\": 9, \"d\": 407}", "seed": "7208187098169674621", "semantic_fingerprint": "sha256:8405b636aa6cbff283a988233752413aa3259fe1527d51ec03838f3fbbe0d5b0", "generator_version": "3.0"}
{"id": "v3_test_id_00004732", "prompt": "Solve the equation 12x - 93 = 6(x - 82) + 399 for x.", "solution_steps": ["Expand: 12x - 93 = 6x - 492 + 399", "Combine constants: 12x - 93 = 6x - 93", "Subtract 6x from both sides: 6x - 93 = -93", "Add 93 to both sides: 6x = 0", "Divide both sides by 6: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 93 = 6(x - 82) + 399", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 93, \"c\": 6, \"d\": 82, \"f\": 399, \"x\": 0}", "seed": "16153359762835721916", "semantic_fingerprint": "sha256:a8f2e83086bb27ee95867f735a05808e0f02012261237c3222ab61ba9c0b6c7b", "generator_version": "3.0"}
{"id": "v3_test_id_00004733", "prompt": "Calculate: 2 + (-6)", "solution_steps": ["Add: 2 + (-6) = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "expression", "math_text": "2 + (-6)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -6}", "seed": "17756249117039236258", "semantic_fingerprint": "sha256:0c333111038c5b85144fb292356438f44469d7965a6a00ffc7aee4219b303d87", "generator_version": "3.0"}
{"id": "v3_test_id_00004734", "prompt": "Calculate: 5 - (-1 - (-545) + 7)", "solution_steps": ["Subtract: -1 - (-545) = 544", "Add: 544 + 7 = 551", "Subtract: 5 - 551 = -546"], "final_answer": "-546", "answer_type": "integer", "kind": "expression", "math_text": "5 - (-1 - (-545) + 7)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -1, \"c\": -545, \"d\": 7}", "seed": "12694833591769710150", "semantic_fingerprint": "sha256:77a4094d43c5de3e6cc1671ed503ce9547ef3679f21a23f68e7d13dc5fefe3f2", "generator_version": "3.0"}
{"id": "v3_test_id_00004735", "prompt": "What value of x satisfies 8(x - 453) - 13 = 5(x + 66) - 218?", "solution_steps": ["Expand: 8x - 3624 - 13 = 5(x + 66) - 218", "Expand: 8x - 3624 - 13 = 5x + 330 - 218", "Combine constants: 8x - 3637 = 5x + 330 - 218", "Combine constants: 8x - 3637 = 5x + 112", "Subtract 5x from both sides: 3x - 3637 = 112", "Add 3637 to both sides: 3x = 3749", "Divide both sides by 3: x = 3749/3"], "final_answer": "3749/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 453) - 13 = 5(x + 66) - 218", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 453, \"c\": 13, \"d\": 5, \"e\": 66, \"f\": 218}", "seed": "2325282115887415362", "semantic_fingerprint": "sha256:594f7cde5a513ebfa5b0cf3eb3a4c3708a055719a3d7aa124267278b01ffcb5b", "generator_version": "3.0"}
{"id": "v3_test_id_00004736", "prompt": "Evaluate: 76 - (-31) + (-4) * (2 - (-19))", "solution_steps": ["Subtract: 76 - (-31) = 107", "Subtract: 2 - (-19) = 21", "Multiply: -4 * 21 = -84", "Add: 107 + (-84) = 23"], "final_answer": "23", "answer_type": "integer", "kind": "expression", "math_text": "76 - (-31) + (-4) * (2 - (-19))", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": -31, \"c\": -4, \"d\": 2, \"e\": -19}", "seed": "8469815203231763399", "semantic_fingerprint": "sha256:03af91c76c515979e93621f4d37d1d20403e7e41432a78167db8cf66f2c6e7d9", "generator_version": "3.0"}
{"id": "v3_test_id_00004737", "prompt": "Solve for x: -11x - 52 = 3(x - 27) + 15", "solution_steps": ["Expand: -11x - 52 = 3x - 81 + 15", "Combine constants: -11x - 52 = 3x - 66", "Subtract 3x from both sides: -14x - 52 = -66", "Add 52 to both sides: -14x = -14", "Divide both sides by -14: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 52 = 3(x - 27) + 15", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 52, \"c\": 3, \"d\": 27, \"f\": 15, \"x\": 1}", "seed": "358711663667090282", "semantic_fingerprint": "sha256:7280850354c89c55492ca122350e3a28d189f2a9477e657a9b14935598d04414", "generator_version": "3.0"}
{"id": "v3_test_id_00004738", "prompt": "What is -58 / (-27 / 90 * 22)?", "solution_steps": ["Divide: -27 / 90 = -3/10", "Multiply: (-3/10) * 22 = -33/5", "Divide: -58 / (-33/5) = 290/33"], "final_answer": "290/33", "answer_type": "rational", "kind": "expression", "math_text": "-58 / (-27 / 90 * 22)", "variable": null, "family": "expression_3op", "shape": "(/ n (* (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": -27, \"c\": 90, \"d\": 22}", "seed": "15663149429530599445", "semantic_fingerprint": "sha256:dab5bd95262adbe7cd14ffb055dad026fa47238fa7186b51736352114ab730a5", "generator_version": "3.0"}
{"id": "v3_test_id_00004739", "prompt": "Calculate: 518 * 7 * (-3)", "solution_steps": ["Multiply: 518 * 7 = 3626", "Multiply: 3626 * (-3) = -10878"], "final_answer": "-10878", "answer_type": "integer", "kind": "expression", "math_text": "518 * 7 * (-3)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 518, \"b\": 7, \"c\": -3}", "seed": "2584082624539461752", "semantic_fingerprint": "sha256:3339b4b8c95e129d03837cb6d6d8be28b403dd6c44c02fa3aa929eead6dad68c", "generator_version": "3.0"}
{"id": "v3_test_id_00004740", "prompt": "Compute: -59 * ((62 + (-41) - (-13)) * 9)", "solution_steps": ["Add: 62 + (-41) = 21", "Subtract: 21 - (-13) = 34", "Multiply: 34 * 9 = 306", "Multiply: -59 * 306 = -18054"], "final_answer": "-18054", "answer_type": "integer", "kind": "expression", "math_text": "-59 * ((62 + (-41) - (-13)) * 9)", "variable": null, "family": "expression_4op", "shape": "(* n (* (- (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": 62, \"c\": -41, \"d\": -13, \"e\": 9}", "seed": "16408049764499108727", "semantic_fingerprint": "sha256:5c065c49639a73d2eb73ea4ae83cea1ad62ec5a6c9e4208449c7128f99709079", "generator_version": "3.0"}
{"id": "v3_test_id_00004741", "prompt": "Solve for x: 11x + 1 = 9(x - 9) + 82", "solution_steps": ["Expand: 11x + 1 = 9x - 81 + 82", "Combine constants: 11x + 1 = 9x + 1", "Subtract 9x from both sides: 2x + 1 = 1", "Subtract 1 from both sides: 2x = 0", "Divide both sides by 2: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 1 = 9(x - 9) + 82", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 1, \"c\": 9, \"d\": 9, \"f\": 82, \"x\": 0}", "seed": "3881602019836327523", "semantic_fingerprint": "sha256:50e81fece8306300bb9da9ee91c47f334c4cec829c61b61c99099e612c3832c9", "generator_version": "3.0"}
{"id": "v3_test_id_00004742", "prompt": "Solve for x: -2x = -36", "solution_steps": ["Divide both sides by -2: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x = -36", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"c\": -36, \"x\": 18}", "seed": "10769897339727433378", "semantic_fingerprint": "sha256:5b664bc2891a5f38969d34602bfdf8dc6ed459e10b81ba9e72ffb38df1014c03", "generator_version": "3.0"}
{"id": "v3_test_id_00004743", "prompt": "Compute: -63 / (-97)", "solution_steps": ["Divide: -63 / (-97) = 63/97"], "final_answer": "63/97", "answer_type": "rational", "kind": "expression", "math_text": "-63 / (-97)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": -97}", "seed": "7278149430872523428", "semantic_fingerprint": "sha256:858a4aa35afc61b2d67b5aea0aec1c69851a65164cb9c975a907d8e50259092a", "generator_version": "3.0"}
{"id": "v3_test_id_00004744", "prompt": "What is (523 + 60) / (4 + 0 / (48 + (-617)))?", "solution_steps": ["Add: 523 + 60 = 583", "Add: 48 + (-617) = -569", "Divide: 0 / (-569) = 0", "Add: 4 + 0 = 4", "Divide: 583 / 4 = 583/4"], "final_answer": "583/4", "answer_type": "rational", "kind": "expression", "math_text": "(523 + 60) / (4 + 0 / (48 + (-617)))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n n) (+ n (/ n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 523, \"b\": 60, \"c\": 4, \"d\": 0, \"e\": 48, \"f\": -617}", "seed": "5849854553329453383", "semantic_fingerprint": "sha256:9b901c3fcd999e4a9722a0da0f69ed37947a0f74ed90a0873f6c3bd68b26ea59", "generator_version": "3.0"}
{"id": "v3_test_id_00004745", "prompt": "What is 0 + 3 - (-36 + 5) / 48?", "solution_steps": ["Add: 0 + 3 = 3", "Add: -36 + 5 = -31", "Divide: -31 / 48 = -31/48", "Subtract: 3 - (-31/48) = 175/48"], "final_answer": "175/48", "answer_type": "rational", "kind": "expression", "math_text": "0 + 3 - (-36 + 5) / 48", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 3, \"c\": -36, \"d\": 5, \"e\": 48}", "seed": "4216342655682611103", "semantic_fingerprint": "sha256:061c2ecb6db57b1063cf9f6944cc960dd54ef9f77b28df4a8f3d280dcc89d17c", "generator_version": "3.0"}
{"id": "v3_test_id_00004746", "prompt": "What is 6 / (-73 / (-63))?", "solution_steps": ["Divide: -73 / (-63) = 73/63", "Divide: 6 / (73/63) = 378/73"], "final_answer": "378/73", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-73 / (-63))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -73, \"c\": -63}", "seed": "13312194600576584991", "semantic_fingerprint": "sha256:7fc12d91dd7121ee53cde4f478cc54c543b0843dc76ccc6eae1f317f1a2453c7", "generator_version": "3.0"}
{"id": "v3_test_id_00004747", "prompt": "Find x: 7(x + 51) - 317 = -5(x - 3) - 95", "solution_steps": ["Expand: 7x + 357 - 317 = -5(x - 3) - 95", "Expand: 7x + 357 - 317 = -5x + 15 - 95", "Combine constants: 7x + 40 = -5x + 15 - 95", "Combine constants: 7x + 40 = -5x - 80", "Add 5x to both sides: 12x + 40 = -80", "Subtract 40 from both sides: 12x = -120", "Divide both sides by 12: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 51) - 317 = -5(x - 3) - 95", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 51, \"c\": 317, \"d\": -5, \"e\": 3, \"g\": -95, \"x\": -10}", "seed": "5243273070186817404", "semantic_fingerprint": "sha256:de15389ebee26c58a6de46ce2480c9fde5d9944e09602213b2cc4163ff5673bc", "generator_version": "3.0"}
{"id": "v3_test_id_00004748", "prompt": "What is 84 * (-20)?", "solution_steps": ["Multiply: 84 * (-20) = -1680"], "final_answer": "-1680", "answer_type": "integer", "kind": "expression", "math_text": "84 * (-20)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 84, \"b\": -20}", "seed": "1964148126869748830", "semantic_fingerprint": "sha256:fb7fd24493edfb39595d1ae9966850428d05fd8bb1a07dd535074b2e00efb195", "generator_version": "3.0"}
{"id": "v3_test_id_00004749", "prompt": "Solve for x: 7(x - 715) = 8(x - 279) + 970", "solution_steps": ["Expand: 7x - 5005 = 8(x - 279) + 970", "Expand: 7x - 5005 = 8x - 2232 + 970", "Combine constants: 7x - 5005 = 8x - 1262", "Subtract 8x from both sides: -x - 5005 = -1262", "Add 5005 to both sides: -x = 3743", "Divide both sides by -1: x = -3743"], "final_answer": "-3743", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 715) = 8(x - 279) + 970", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 715, \"c\": 8, \"d\": 279, \"e\": 970}", "seed": "9174808179116056406", "semantic_fingerprint": "sha256:9e32197fae3220da2530187760a7f99ac2d5b7478b46cdeddaf41c21e3d06d41", "generator_version": "3.0"}
{"id": "v3_test_id_00004750", "prompt": "Find x: -7x - 30 = x - 134", "solution_steps": ["Subtract x from both sides: -8x - 30 = -134", "Add 30 to both sides: -8x = -104", "Divide both sides by -8: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 30 = x - 134", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 30, \"d\": -134, \"x\": 13}", "seed": "15727722420116923663", "semantic_fingerprint": "sha256:9571e4e973ff3a6a9ccf53edb04e0cb69423767a86423d613637b2c2bdd011d1", "generator_version": "3.0"}
{"id": "v3_test_id_00004751", "prompt": "Compute: 3 - 8 + 1 * 2", "solution_steps": ["Subtract: 3 - 8 = -5", "Multiply: 1 * 2 = 2", "Add: -5 + 2 = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "expression", "math_text": "3 - 8 + 1 * 2", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"c\": 1, \"d\": 2}", "seed": "15237292731227537577", "semantic_fingerprint": "sha256:adbdf6c721047bb845c112206cb702ac32ebc25a1646243f1d52ffe6b2716bc9", "generator_version": "3.0"}
{"id": "v3_test_id_00004752", "prompt": "Compute: 743 / 5", "solution_steps": ["Divide: 743 / 5 = 743/5"], "final_answer": "743/5", "answer_type": "rational", "kind": "expression", "math_text": "743 / 5", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 743, \"b\": 5}", "seed": "7294528324417387480", "semantic_fingerprint": "sha256:47e4068cebd7d5ba0a8bc0807ef15cb73e6bfe2f8a34bda706cc049206aceb50", "generator_version": "3.0"}
{"id": "v3_test_id_00004753", "prompt": "Compute: -6 / 21 * (-59)", "solution_steps": ["Divide: -6 / 21 = -2/7", "Multiply: (-2/7) * (-59) = 118/7"], "final_answer": "118/7", "answer_type": "rational", "kind": "expression", "math_text": "-6 / 21 * (-59)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 21, \"c\": -59}", "seed": "5655886480996157532", "semantic_fingerprint": "sha256:82b93cb3c8e4c93c54993badcad86382fc812c08a01ebd8ca70c0e7636e097bf", "generator_version": "3.0"}
{"id": "v3_test_id_00004754", "prompt": "What is (968 + (-58)) * (3 + (-65)) + (-77)?", "solution_steps": ["Add: 968 + (-58) = 910", "Add: 3 + (-65) = -62", "Multiply: 910 * (-62) = -56420", "Add: -56420 + (-77) = -56497"], "final_answer": "-56497", "answer_type": "integer", "kind": "expression", "math_text": "(968 + (-58)) * (3 + (-65)) + (-77)", "variable": null, "family": "expression_4op", "shape": "(+ (* (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 968, \"b\": -58, \"c\": 3, \"d\": -65, \"e\": -77}", "seed": "1602150449310348871", "semantic_fingerprint": "sha256:ea7f7a7fc3292c8d10fdcb3ab88486c4f6f916a846c117612aea07f8403d735b", "generator_version": "3.0"}
{"id": "v3_test_id_00004755", "prompt": "Calculate: -8 + (-55 + (-37 - 72) - 131 / (-323))", "solution_steps": ["Subtract: -37 - 72 = -109", "Add: -55 + (-109) = -164", "Divide: 131 / (-323) = -131/323", "Subtract: -164 - (-131/323) = -52841/323", "Add: -8 + (-52841/323) = -55425/323"], "final_answer": "-55425/323", "answer_type": "rational", "kind": "expression", "math_text": "-8 + (-55 + (-37 - 72) - 131 / (-323))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (+ n (- n n)) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -55, \"c\": -37, \"d\": 72, \"e\": 131, \"f\": -323}", "seed": "9928556378289947599", "semantic_fingerprint": "sha256:2b61a8fda8a3434c30aba37ebe7708e7dd995010c52330f39e7038abb2ca399a", "generator_version": "3.0"}
{"id": "v3_test_id_00004756", "prompt": "What value of x satisfies x + 6 = 11x + 96?", "solution_steps": ["Subtract 11x from both sides: -10x + 6 = 96", "Subtract 6 from both sides: -10x = 90", "Divide both sides by -10: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 6 = 11x + 96", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 11, \"d\": 96, \"x\": -9}", "seed": "9376237584974410263", "semantic_fingerprint": "sha256:a9efa491ea8b5dcec645044369e98fca098810d351ab52bbcff216a57b4de935", "generator_version": "3.0"}
{"id": "v3_test_id_00004757", "prompt": "What value of x satisfies x + 63 = -3x - 13?", "solution_steps": ["Add 3x to both sides: 4x + 63 = -13", "Subtract 63 from both sides: 4x = -76", "Divide both sides by 4: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 63 = -3x - 13", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": -3, \"d\": -13, \"x\": -19}", "seed": "6448608675736099087", "semantic_fingerprint": "sha256:720ba87f8932e1c45cb960c518fa4bb2f10343d85538a9d7e0dff987cda7118d", "generator_version": "3.0"}
{"id": "v3_test_id_00004758", "prompt": "Find x: -9(x + 569) = -8x", "solution_steps": ["Expand: -9x - 5121 = -8x", "Add 8x to both sides: -x - 5121 = 0", "Add 5121 to both sides: -x = 5121", "Divide both sides by -1: x = -5121"], "final_answer": "-5121", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 569) = -8x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 569, \"c\": -8}", "seed": "18032590601354033371", "semantic_fingerprint": "sha256:aa91b7c761b7e029c0d4d4e0abea5ac674aa3e1270f1675278d058f3bd1388b7", "generator_version": "3.0"}
{"id": "v3_test_id_00004759", "prompt": "Calculate: 9 + (-6) - 8 / (-66 + (-4))", "solution_steps": ["Add: 9 + (-6) = 3", "Add: -66 + (-4) = -70", "Divide: 8 / (-70) = -4/35", "Subtract: 3 - (-4/35) = 109/35"], "final_answer": "109/35", "answer_type": "rational", "kind": "expression", "math_text": "9 + (-6) - 8 / (-66 + (-4))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (/ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -6, \"c\": 8, \"d\": -66, \"e\": -4}", "seed": "16642494766870350570", "semantic_fingerprint": "sha256:80041350868bc8176804af3a7f136daa2600656b551ad73f5f0c67f79065fccc", "generator_version": "3.0"}
{"id": "v3_test_id_00004760", "prompt": "Evaluate: -87 + (0 + (-98)) * (56 * 0)", "solution_steps": ["Add: 0 + (-98) = -98", "Multiply: 56 * 0 = 0", "Multiply: -98 * 0 = 0", "Add: -87 + 0 = -87"], "final_answer": "-87", "answer_type": "integer", "kind": "expression", "math_text": "-87 + (0 + (-98)) * (56 * 0)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (+ n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": 0, \"c\": -98, \"d\": 56, \"e\": 0}", "seed": "7661415384363743458", "semantic_fingerprint": "sha256:f6974495c64103b2ec5efb895564323580ff1cbd10d8b6cd90569ba372a040fd", "generator_version": "3.0"}
{"id": "v3_test_id_00004761", "prompt": "What value of x satisfies x = -3(x + 2) + 14?", "solution_steps": ["Expand: x = -3x - 6 + 14", "Combine constants: x = -3x + 8", "Add 3x to both sides: 4x = 8", "Divide both sides by 4: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -3(x + 2) + 14", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 2, \"d\": 14, \"x\": 2}", "seed": "13907425395003599886", "semantic_fingerprint": "sha256:b268575ebc8cf20e23c4c6adfd40d06417822fc25d3905cd919c9b1a29c5318c", "generator_version": "3.0"}
{"id": "v3_test_id_00004762", "prompt": "Find x: 5x = -4(x - 4) + 8", "solution_steps": ["Expand: 5x = -4x + 16 + 8", "Combine constants: 5x = -4x + 24", "Add 4x to both sides: 9x = 24", "Divide both sides by 9: x = 8/3"], "final_answer": "8/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x = -4(x - 4) + 8", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -4, \"c\": 4, \"d\": 8}", "seed": "7220824594238035893", "semantic_fingerprint": "sha256:ef08a7563daeadb19d07ae59021d0110f435517d9db00c0391c1ce23c5147ec6", "generator_version": "3.0"}
{"id": "v3_test_id_00004763", "prompt": "Solve the equation 2(x - 329) - 47 = x for x.", "solution_steps": ["Expand: 2x - 658 - 47 = x", "Combine constants: 2x - 705 = x", "Subtract x from both sides: x - 705 = 0", "Add 705 to both sides: x = 705"], "final_answer": "705", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 329) - 47 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 329, \"c\": 47}", "seed": "15765691309995547161", "semantic_fingerprint": "sha256:ed83a41ae109ed7e83c35d900b243967a013a0ad9bdebe12a13b166ee2c73d58", "generator_version": "3.0"}
{"id": "v3_test_id_00004764", "prompt": "Calculate: 8 - (-1) + 0 + (-572 - 6 * (-61))", "solution_steps": ["Subtract: 8 - (-1) = 9", "Add: 9 + 0 = 9", "Multiply: 6 * (-61) = -366", "Subtract: -572 - (-366) = -206", "Add: 9 + (-206) = -197"], "final_answer": "-197", "answer_type": "integer", "kind": "expression", "math_text": "8 - (-1) + 0 + (-572 - 6 * (-61))", "variable": null, "family": "expression_5op", "shape": "(+ (+ (- n n) n) (- n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -1, \"c\": 0, \"d\": -572, \"e\": 6, \"f\": -61}", "seed": "975447876909204712", "semantic_fingerprint": "sha256:6b6bae10614b004b2af3fd9e0d5478b483fb6c7a62ced1fa22891da622d774e2", "generator_version": "3.0"}
{"id": "v3_test_id_00004765", "prompt": "Calculate: 66 * (52 + 216) * (-50)", "solution_steps": ["Add: 52 + 216 = 268", "Multiply: 66 * 268 = 17688", "Multiply: 17688 * (-50) = -884400"], "final_answer": "-884400", "answer_type": "integer", "kind": "expression", "math_text": "66 * (52 + 216) * (-50)", "variable": null, "family": "expression_3op", "shape": "(* (* n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": 52, \"c\": 216, \"d\": -50}", "seed": "8809382913818808680", "semantic_fingerprint": "sha256:3f6889ef5faa1d1a6587c4f80f9e72132aa71580f6319912cd53f233e35cdc75", "generator_version": "3.0"}
{"id": "v3_test_id_00004766", "prompt": "What is 926 / 96?", "solution_steps": ["Divide: 926 / 96 = 463/48"], "final_answer": "463/48", "answer_type": "rational", "kind": "expression", "math_text": "926 / 96", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 926, \"b\": 96}", "seed": "10936336225657949451", "semantic_fingerprint": "sha256:143608b38768875792e27fab74952d3b6c7de801b126eca6e129985391a95bc7", "generator_version": "3.0"}
{"id": "v3_test_id_00004767", "prompt": "What is -6 + (4 + (52 - 30 + 903))?", "solution_steps": ["Subtract: 52 - 30 = 22", "Add: 22 + 903 = 925", "Add: 4 + 925 = 929", "Add: -6 + 929 = 923"], "final_answer": "923", "answer_type": "integer", "kind": "expression", "math_text": "-6 + (4 + (52 - 30 + 903))", "variable": null, "family": "expression_4op", "shape": "(+ n (+ n (+ (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 4, \"c\": 52, \"d\": 30, \"e\": 903}", "seed": "10728101684191155317", "semantic_fingerprint": "sha256:c2a1797912a23b4134310f47043f4fa0af2152bf2af0b764e49e668d6fc848c2", "generator_version": "3.0"}
{"id": "v3_test_id_00004768", "prompt": "What is -1 + (-915 / (-6) - (-83) - (-8) * (-71))?", "solution_steps": ["Divide: -915 / (-6) = 305/2", "Subtract: 305/2 - (-83) = 471/2", "Multiply: -8 * (-71) = 568", "Subtract: 471/2 - 568 = -665/2", "Add: -1 + (-665/2) = -667/2"], "final_answer": "-667/2", "answer_type": "rational", "kind": "expression", "math_text": "-1 + (-915 / (-6) - (-83) - (-8) * (-71))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (- (/ n n) n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -915, \"c\": -6, \"d\": -83, \"e\": -8, \"f\": -71}", "seed": "1449910445069243433", "semantic_fingerprint": "sha256:63de2dd812e74fd248cfc63a1ec2d95330c5ed545ea45e4d2b791b0e38e05cd9", "generator_version": "3.0"}
{"id": "v3_test_id_00004769", "prompt": "Evaluate: -909 / (-8 * (-28 + (-2) * (-87)))", "solution_steps": ["Multiply: -2 * (-87) = 174", "Add: -28 + 174 = 146", "Multiply: -8 * 146 = -1168", "Divide: -909 / (-1168) = 909/1168"], "final_answer": "909/1168", "answer_type": "rational", "kind": "expression", "math_text": "-909 / (-8 * (-28 + (-2) * (-87)))", "variable": null, "family": "expression_4op", "shape": "(/ n (* n (+ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -909, \"b\": -8, \"c\": -28, \"d\": -2, \"e\": -87}", "seed": "7411407739229772438", "semantic_fingerprint": "sha256:efaec426fcfa2cfbccfafaffecfe2a11fec2dc588292ce96fb804ad85d6da334", "generator_version": "3.0"}
{"id": "v3_test_id_00004770", "prompt": "Find x: 8(x - 33) = 3(x - 18) - 210", "solution_steps": ["Expand: 8x - 264 = 3(x - 18) - 210", "Expand: 8x - 264 = 3x - 54 - 210", "Combine constants: 8x - 264 = 3x - 264", "Subtract 3x from both sides: 5x - 264 = -264", "Add 264 to both sides: 5x = 0", "Divide both sides by 5: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 33) = 3(x - 18) - 210", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 33, \"c\": 3, \"d\": 18, \"f\": -210, \"x\": 0}", "seed": "874969873000584022", "semantic_fingerprint": "sha256:3848242c0a39f5f9bde7336411b1204ed6e6871694f9280ff0308e05ec847e97", "generator_version": "3.0"}
{"id": "v3_test_id_00004771", "prompt": "Compute: -12 / (-4) - (-5)", "solution_steps": ["Divide: -12 / (-4) = 3", "Subtract: 3 - (-5) = 8"], "final_answer": "8", "answer_type": "integer", "kind": "expression", "math_text": "-12 / (-4) - (-5)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": -4, \"c\": -5}", "seed": "9253267393627383843", "semantic_fingerprint": "sha256:d294ef5f2b2c14cae8664285726783c2b5c9ab7d1d950322bb3f149b4480dfba", "generator_version": "3.0"}
{"id": "v3_test_id_00004772", "prompt": "Find x: x - 5 = -12x - 90", "solution_steps": ["Add 12x to both sides: 13x - 5 = -90", "Add 5 to both sides: 13x = -85", "Divide both sides by 13: x = -85/13"], "final_answer": "-85/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 5 = -12x - 90", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -12, \"c\": 90}", "seed": "15203887853039170315", "semantic_fingerprint": "sha256:eb51b9dd9cb85db25d6476a2f0dd95ddd6e57f943a5cc7ae9ad9089475598643", "generator_version": "3.0"}
{"id": "v3_test_id_00004773", "prompt": "What is 6 - 559 + (-63)?", "solution_steps": ["Subtract: 6 - 559 = -553", "Add: -553 + (-63) = -616"], "final_answer": "-616", "answer_type": "integer", "kind": "expression", "math_text": "6 - 559 + (-63)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 559, \"c\": -63}", "seed": "9457100000638087417", "semantic_fingerprint": "sha256:c7635b13dbd59a16cc4fc53018fc2f205da254817cb53768f6d3ab1b02dfc9f8", "generator_version": "3.0"}
{"id": "v3_test_id_00004774", "prompt": "Compute: 9 * (-77) * (-5 + (5 + (-64 - 723)))", "solution_steps": ["Multiply: 9 * (-77) = -693", "Subtract: -64 - 723 = -787", "Add: 5 + (-787) = -782", "Add: -5 + (-782) = -787", "Multiply: -693 * (-787) = 545391"], "final_answer": "545391", "answer_type": "integer", "kind": "expression", "math_text": "9 * (-77) * (-5 + (5 + (-64 - 723)))", "variable": null, "family": "expression_5op", "shape": "(* (* n n) (+ n (+ n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -77, \"c\": -5, \"d\": 5, \"e\": -64, \"f\": 723}", "seed": "4886859817654131904", "semantic_fingerprint": "sha256:3dee31440eb46b64bd0dbb14a3b9ac96e997ea7ddc6f4b3f1da9688a34acd82d", "generator_version": "3.0"}
{"id": "v3_test_id_00004775", "prompt": "Compute: -7 - (-3) + 3 * (-175)", "solution_steps": ["Subtract: -7 - (-3) = -4", "Multiply: 3 * (-175) = -525", "Add: -4 + (-525) = -529"], "final_answer": "-529", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (-3) + 3 * (-175)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -3, \"c\": 3, \"d\": -175}", "seed": "13239666937296139738", "semantic_fingerprint": "sha256:d96f266dcf8163fb90cf87969ec6425fbe422f2423c2d42ff4957989531348e8", "generator_version": "3.0"}
{"id": "v3_test_id_00004776", "prompt": "What is -12 + (12 - (-318)) + (87 - (-696))?", "solution_steps": ["Subtract: 12 - (-318) = 330", "Add: -12 + 330 = 318", "Subtract: 87 - (-696) = 783", "Add: 318 + 783 = 1101"], "final_answer": "1101", "answer_type": "integer", "kind": "expression", "math_text": "-12 + (12 - (-318)) + (87 - (-696))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 12, \"c\": -318, \"d\": 87, \"e\": -696}", "seed": "16323783141390450776", "semantic_fingerprint": "sha256:68db87cb7ed45ed2a727fc6eae7c6ccf6191b462992eb9220252354c20076b25", "generator_version": "3.0"}
{"id": "v3_test_id_00004777", "prompt": "Compute: 94 + 213 * (6 - (-70) / 60) / 235", "solution_steps": ["Divide: -70 / 60 = -7/6", "Subtract: 6 - (-7/6) = 43/6", "Multiply: 213 * (43/6) = 3053/2", "Divide: (3053/2) / 235 = 3053/470", "Add: 94 + 3053/470 = 47233/470"], "final_answer": "47233/470", "answer_type": "rational", "kind": "expression", "math_text": "94 + 213 * (6 - (-70) / 60) / 235", "variable": null, "family": "expression_5op", "shape": "(+ n (/ (* n (- n (/ n n))) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": 213, \"c\": 6, \"d\": -70, \"e\": 60, \"f\": 235}", "seed": "5641253689062999727", "semantic_fingerprint": "sha256:1e3785045731db96d783e08560eac13dc9cdcbe271719dd953a98f4c54d25ea5", "generator_version": "3.0"}
{"id": "v3_test_id_00004778", "prompt": "Compute: 38 + (392 / (-98) - (-62))", "solution_steps": ["Divide: 392 / (-98) = -4", "Subtract: -4 - (-62) = 58", "Add: 38 + 58 = 96"], "final_answer": "96", "answer_type": "integer", "kind": "expression", "math_text": "38 + (392 / (-98) - (-62))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": 392, \"c\": -98, \"d\": -62}", "seed": "10625949158093765431", "semantic_fingerprint": "sha256:9301912ed41e1ae80fcce87b020feb7eb1b5df1b6cd4885e1154bef2a5dda860", "generator_version": "3.0"}
{"id": "v3_test_id_00004779", "prompt": "Compute: (-39 * 9 - 681) * 13", "solution_steps": ["Multiply: -39 * 9 = -351", "Subtract: -351 - 681 = -1032", "Multiply: -1032 * 13 = -13416"], "final_answer": "-13416", "answer_type": "integer", "kind": "expression", "math_text": "(-39 * 9 - 681) * 13", "variable": null, "family": "expression_3op", "shape": "(* (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": 9, \"c\": 681, \"d\": 13}", "seed": "2531264844544656449", "semantic_fingerprint": "sha256:afc51fd9f4c159de7c9e7b478cecac4fc9a2737d53dc59c79b9fe5e6270a3616", "generator_version": "3.0"}
{"id": "v3_test_id_00004780", "prompt": "Solve for x: 7(x + 97) - 463 = -11x", "solution_steps": ["Expand: 7x + 679 - 463 = -11x", "Combine constants: 7x + 216 = -11x", "Add 11x to both sides: 18x + 216 = 0", "Subtract 216 from both sides: 18x = -216", "Divide both sides by 18: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 97) - 463 = -11x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 97, \"c\": -11, \"e\": -463, \"x\": -12}", "seed": "10348422769351267808", "semantic_fingerprint": "sha256:a4097d68c04baabce2957d5f698554bf5e1d21c8f1a8e4b9e07a567529bd19d1", "generator_version": "3.0"}
{"id": "v3_test_id_00004781", "prompt": "What is -1 * 33 * (144 * 67)?", "solution_steps": ["Multiply: -1 * 33 = -33", "Multiply: 144 * 67 = 9648", "Multiply: -33 * 9648 = -318384"], "final_answer": "-318384", "answer_type": "integer", "kind": "expression", "math_text": "-1 * 33 * (144 * 67)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 33, \"c\": 144, \"d\": 67}", "seed": "6211654563510357933", "semantic_fingerprint": "sha256:639f4bbbf71e462cf2de1e20f04662f63f9e576912bfcfdacaca202757e9837e", "generator_version": "3.0"}
{"id": "v3_test_id_00004782", "prompt": "Compute: 54 / (-5)", "solution_steps": ["Divide: 54 / (-5) = -54/5"], "final_answer": "-54/5", "answer_type": "rational", "kind": "expression", "math_text": "54 / (-5)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": -5}", "seed": "10651036857712269409", "semantic_fingerprint": "sha256:16a41f7356e345c915104517874dce2c3683261b64ce950cb9ecf68649d25476", "generator_version": "3.0"}
{"id": "v3_test_id_00004783", "prompt": "Calculate: -1 - (57 / (-2) - (-86))", "solution_steps": ["Divide: 57 / (-2) = -57/2", "Subtract: -57/2 - (-86) = 115/2", "Subtract: -1 - 115/2 = -117/2"], "final_answer": "-117/2", "answer_type": "rational", "kind": "expression", "math_text": "-1 - (57 / (-2) - (-86))", "variable": null, "family": "expression_3op", "shape": "(- n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 57, \"c\": -2, \"d\": -86}", "seed": "17229008083935495342", "semantic_fingerprint": "sha256:1f3115008282e2ae580215e90d7ef4f2087fafef156aa67b664eeba23ceb7509", "generator_version": "3.0"}
{"id": "v3_test_id_00004784", "prompt": "What is 5 + (-239 - 62 * 5) * 999?", "solution_steps": ["Multiply: 62 * 5 = 310", "Subtract: -239 - 310 = -549", "Multiply: -549 * 999 = -548451", "Add: 5 + (-548451) = -548446"], "final_answer": "-548446", "answer_type": "integer", "kind": "expression", "math_text": "5 + (-239 - 62 * 5) * 999", "variable": null, "family": "expression_4op", "shape": "(+ n (* (- n (* n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -239, \"c\": 62, \"d\": 5, \"e\": 999}", "seed": "13817806608427999600", "semantic_fingerprint": "sha256:907b87e7746f31ea4fad99e8ea86535255aefcca55b094eba244732f6771cb1d", "generator_version": "3.0"}
{"id": "v3_test_id_00004785", "prompt": "Calculate: 65 + (9 + 8) / (-69)", "solution_steps": ["Add: 9 + 8 = 17", "Divide: 17 / (-69) = -17/69", "Add: 65 + (-17/69) = 4468/69"], "final_answer": "4468/69", "answer_type": "rational", "kind": "expression", "math_text": "65 + (9 + 8) / (-69)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": 9, \"c\": 8, \"d\": -69}", "seed": "17137620878019131433", "semantic_fingerprint": "sha256:4870d07639fd028893d3fa87e10b8736178c2cbcf62d6115ae475ba6fb54297c", "generator_version": "3.0"}
{"id": "v3_test_id_00004786", "prompt": "Solve for x: 8x = 12(x - 4)", "solution_steps": ["Expand: 8x = 12x - 48", "Subtract 12x from both sides: -4x = -48", "Divide both sides by -4: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 12(x - 4)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 12, \"c\": 4}", "seed": "1178341140044598794", "semantic_fingerprint": "sha256:120cb5b4645f8c14caaeac61f2688e08c884edd9b19e3730ad077afd153d2a74", "generator_version": "3.0"}
{"id": "v3_test_id_00004787", "prompt": "Solve for x: x - 4 = -4x + 715", "solution_steps": ["Add 4x to both sides: 5x - 4 = 715", "Add 4 to both sides: 5x = 719", "Divide both sides by 5: x = 719/5"], "final_answer": "719/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 4 = -4x + 715", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -4, \"c\": 715}", "seed": "6870496000943877995", "semantic_fingerprint": "sha256:61c6395668ba1ac5bad8c76662198a91184c0e2f8b7305a5b6615420c927f7c9", "generator_version": "3.0"}
{"id": "v3_test_id_00004788", "prompt": "What is 62 / (-5) - 7 - (-6 + (-4))?", "solution_steps": ["Divide: 62 / (-5) = -62/5", "Subtract: -62/5 - 7 = -97/5", "Add: -6 + (-4) = -10", "Subtract: -97/5 - (-10) = -47/5"], "final_answer": "-47/5", "answer_type": "rational", "kind": "expression", "math_text": "62 / (-5) - 7 - (-6 + (-4))", "variable": null, "family": "expression_4op", "shape": "(- (- (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": -5, \"c\": 7, \"d\": -6, \"e\": -4}", "seed": "14485702747229812870", "semantic_fingerprint": "sha256:abd8988f156fedc5c0722bfce4465270e82d29db0fab2e7906e7d6dcbfee98d1", "generator_version": "3.0"}
{"id": "v3_test_id_00004789", "prompt": "Compute: (-89 - 52 * (-7 - 0)) * 929", "solution_steps": ["Subtract: -7 - 0 = -7", "Multiply: 52 * (-7) = -364", "Subtract: -89 - (-364) = 275", "Multiply: 275 * 929 = 255475"], "final_answer": "255475", "answer_type": "integer", "kind": "expression", "math_text": "(-89 - 52 * (-7 - 0)) * 929", "variable": null, "family": "expression_4op", "shape": "(* (- n (* n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -89, \"b\": 52, \"c\": -7, \"d\": 0, \"e\": 929}", "seed": "6064976770265747166", "semantic_fingerprint": "sha256:2f0f9fdcfec24f6c1f2a185c68c060d4feae917c72fa37929abe12f5f442ee26", "generator_version": "3.0"}
{"id": "v3_test_id_00004790", "prompt": "Solve the equation 11x = x for x.", "solution_steps": ["Subtract x from both sides: 10x = 0", "Divide both sides by 10: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = x", "variable": "x", "family": "linear_equation", "shape": "kx=x", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11}", "seed": "14352968877044153868", "semantic_fingerprint": "sha256:14b11eab89bad0bd6455a342efe9df8f45bd6909e7f7d77d85082583860b94ab", "generator_version": "3.0"}
{"id": "v3_test_id_00004791", "prompt": "Calculate: 909 - 82 / ((65 - (-81)) / 8 / 80)", "solution_steps": ["Subtract: 65 - (-81) = 146", "Divide: 146 / 8 = 73/4", "Divide: (73/4) / 80 = 73/320", "Divide: 82 / (73/320) = 26240/73", "Subtract: 909 - 26240/73 = 40117/73"], "final_answer": "40117/73", "answer_type": "rational", "kind": "expression", "math_text": "909 - 82 / ((65 - (-81)) / 8 / 80)", "variable": null, "family": "expression_5op", "shape": "(- n (/ n (/ (/ (- n n) n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 909, \"b\": 82, \"c\": 65, \"d\": -81, \"e\": 8, \"f\": 80}", "seed": "12179545080625773110", "semantic_fingerprint": "sha256:09329764f207f49b610031c20663402aa3e42c2159324cfd1aecbd0364308397", "generator_version": "3.0"}
{"id": "v3_test_id_00004792", "prompt": "What is 13 / (-89)?", "solution_steps": ["Divide: 13 / (-89) = -13/89"], "final_answer": "-13/89", "answer_type": "rational", "kind": "expression", "math_text": "13 / (-89)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": -89}", "seed": "4385996864101818889", "semantic_fingerprint": "sha256:b0490f178bd55a5ff7db10067562061ebb97e28fd245a6279d82c2b808a7afa8", "generator_version": "3.0"}
{"id": "v3_test_id_00004793", "prompt": "What value of x satisfies 9(x - 54) = -603?", "solution_steps": ["Expand: 9x - 486 = -603", "Add 486 to both sides: 9x = -117", "Divide both sides by 9: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 54) = -603", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 54, \"d\": -603, \"x\": -13}", "seed": "7183873172140030703", "semantic_fingerprint": "sha256:d8935219c6a3eda0ef55d446103cdd7103231eb8a7d08e2ccf371eb418e9fb3e", "generator_version": "3.0"}
{"id": "v3_test_id_00004794", "prompt": "What is -3 * (-9) * (-889)?", "solution_steps": ["Multiply: -3 * (-9) = 27", "Multiply: 27 * (-889) = -24003"], "final_answer": "-24003", "answer_type": "integer", "kind": "expression", "math_text": "-3 * (-9) * (-889)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -9, \"c\": -889}", "seed": "5935276430235529031", "semantic_fingerprint": "sha256:6c9f0fb0f2876eb915446091f23c143222888db292ba835b6cc620db241c2205", "generator_version": "3.0"}
{"id": "v3_test_id_00004795", "prompt": "Calculate: 6 - (-67) * (-962 + 971) - 576", "solution_steps": ["Add: -962 + 971 = 9", "Multiply: -67 * 9 = -603", "Subtract: 6 - (-603) = 609", "Subtract: 609 - 576 = 33"], "final_answer": "33", "answer_type": "integer", "kind": "expression", "math_text": "6 - (-67) * (-962 + 971) - 576", "variable": null, "family": "expression_4op", "shape": "(- (- n (* n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -67, \"c\": -962, \"d\": 971, \"e\": 576}", "seed": "2961815814943944382", "semantic_fingerprint": "sha256:d517e3d92db275f1f4ccb3686e74d7ffa265b192ba9fb2114cc6a31ec6761d46", "generator_version": "3.0"}
{"id": "v3_test_id_00004796", "prompt": "Find x: x = 8(x + 7)", "solution_steps": ["Expand: x = 8x + 56", "Subtract 8x from both sides: -7x = 56", "Divide both sides by -7: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 8(x + 7)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7}", "seed": "11278129206885092110", "semantic_fingerprint": "sha256:146219339d38227acb83c048fdaaea5633c75b660001cb1ed34b569c94cb43c2", "generator_version": "3.0"}
{"id": "v3_test_id_00004797", "prompt": "Find x: 4(x + 57) + 11 = 2(x - 6) + 243", "solution_steps": ["Expand: 4x + 228 + 11 = 2(x - 6) + 243", "Expand: 4x + 228 + 11 = 2x - 12 + 243", "Combine constants: 4x + 239 = 2x - 12 + 243", "Combine constants: 4x + 239 = 2x + 231", "Subtract 2x from both sides: 2x + 239 = 231", "Subtract 239 from both sides: 2x = -8", "Divide both sides by 2: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 57) + 11 = 2(x - 6) + 243", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 57, \"c\": 11, \"d\": 2, \"e\": 6, \"g\": 243, \"x\": -4}", "seed": "8219035413886071562", "semantic_fingerprint": "sha256:b7ef4cd456abf2a3b9041f11f0631db1fcdd3e8e6645852d79da5562fcd0cac8", "generator_version": "3.0"}
{"id": "v3_test_id_00004798", "prompt": "Calculate: -43 * 643 + 9", "solution_steps": ["Multiply: -43 * 643 = -27649", "Add: -27649 + 9 = -27640"], "final_answer": "-27640", "answer_type": "integer", "kind": "expression", "math_text": "-43 * 643 + 9", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -43, \"b\": 643, \"c\": 9}", "seed": "8679906871699402411", "semantic_fingerprint": "sha256:69c4cde3c010caafbb37b9ce7a6d04b1c0b88a6e1b1debe715de3a29e7bc052d", "generator_version": "3.0"}
{"id": "v3_test_id_00004799", "prompt": "Calculate: (-7 + (-3)) * (-283)", "solution_steps": ["Add: -7 + (-3) = -10", "Multiply: -10 * (-283) = 2830"], "final_answer": "2830", "answer_type": "integer", "kind": "expression", "math_text": "(-7 + (-3)) * (-283)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -3, \"c\": -283}", "seed": "12453451588462471331", "semantic_fingerprint": "sha256:99386c9870ac88fd16ad7811d9ef595bd16c1d1053bf49e5abf0b17e11591cc0", "generator_version": "3.0"}
{"id": "v3_test_id_00004800", "prompt": "What value of x satisfies 5(x - 51) = 3(x + 33) - 364?", "solution_steps": ["Expand: 5x - 255 = 3(x + 33) - 364", "Expand: 5x - 255 = 3x + 99 - 364", "Combine constants: 5x - 255 = 3x - 265", "Subtract 3x from both sides: 2x - 255 = -265", "Add 255 to both sides: 2x = -10", "Divide both sides by 2: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 51) = 3(x + 33) - 364", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 51, \"c\": 3, \"d\": 33, \"f\": -364, \"x\": -5}", "seed": "2370143756149900474", "semantic_fingerprint": "sha256:148d2b9c42a4258b274a90e5f3901e34d49245283cab0f2823fc4406525ab59e", "generator_version": "3.0"}
{"id": "v3_test_id_00004801", "prompt": "Evaluate: -86 * (0 + (-74))", "solution_steps": ["Add: 0 + (-74) = -74", "Multiply: -86 * (-74) = 6364"], "final_answer": "6364", "answer_type": "integer", "kind": "expression", "math_text": "-86 * (0 + (-74))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": 0, \"c\": -74}", "seed": "14807113091074440178", "semantic_fingerprint": "sha256:24310c4dfc5cd912d0dc8319aae4e0fcf92e99b8231bd1e872470dafceff3198", "generator_version": "3.0"}
{"id": "v3_test_id_00004802", "prompt": "Compute: 2 + (-113)", "solution_steps": ["Add: 2 + (-113) = -111"], "final_answer": "-111", "answer_type": "integer", "kind": "expression", "math_text": "2 + (-113)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -113}", "seed": "10239203850324973893", "semantic_fingerprint": "sha256:5d820afde4bb29bcb57d2d7397e891edca620ce9903b0e61a75e5009db11b254", "generator_version": "3.0"}
{"id": "v3_test_id_00004803", "prompt": "What is -13 - (86 + 0 + 6 + (-40) * (-65))?", "solution_steps": ["Add: 86 + 0 = 86", "Add: 86 + 6 = 92", "Multiply: -40 * (-65) = 2600", "Add: 92 + 2600 = 2692", "Subtract: -13 - 2692 = -2705"], "final_answer": "-2705", "answer_type": "integer", "kind": "expression", "math_text": "-13 - (86 + 0 + 6 + (-40) * (-65))", "variable": null, "family": "expression_5op", "shape": "(- n (+ (+ (+ n n) n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": 86, \"c\": 0, \"d\": 6, \"e\": -40, \"f\": -65}", "seed": "13760877002808866631", "semantic_fingerprint": "sha256:c413029d03c92adf3363abafad9b39bfaec93b01cc12ea65b8960d4051fd7814", "generator_version": "3.0"}
{"id": "v3_test_id_00004804", "prompt": "Solve for x: -10x + 26 = -7(x + 8) - 27", "solution_steps": ["Expand: -10x + 26 = -7x - 56 - 27", "Combine constants: -10x + 26 = -7x - 83", "Add 7x to both sides: -3x + 26 = -83", "Subtract 26 from both sides: -3x = -109", "Divide both sides by -3: x = 109/3"], "final_answer": "109/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10x + 26 = -7(x + 8) - 27", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 26, \"c\": -7, \"d\": 8, \"e\": 27}", "seed": "5135529780191028016", "semantic_fingerprint": "sha256:ed04c7cf10f329e805bec04bf64ffba50e43d48885a5200d45dffa63052068ac", "generator_version": "3.0"}
{"id": "v3_test_id_00004805", "prompt": "Compute: 81 * 44 - (-4)", "solution_steps": ["Multiply: 81 * 44 = 3564", "Subtract: 3564 - (-4) = 3568"], "final_answer": "3568", "answer_type": "integer", "kind": "expression", "math_text": "81 * 44 - (-4)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": 44, \"c\": -4}", "seed": "15060328010563859128", "semantic_fingerprint": "sha256:ac2ed3daa62240f51993cacd18817fc8177aaac8c496a643a0064557a82cb962", "generator_version": "3.0"}
{"id": "v3_test_id_00004806", "prompt": "Calculate: (4 - (-50) - (-859)) / (-33 + 16)", "solution_steps": ["Subtract: 4 - (-50) = 54", "Subtract: 54 - (-859) = 913", "Add: -33 + 16 = -17", "Divide: 913 / (-17) = -913/17"], "final_answer": "-913/17", "answer_type": "rational", "kind": "expression", "math_text": "(4 - (-50) - (-859)) / (-33 + 16)", "variable": null, "family": "expression_4op", "shape": "(/ (- (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -50, \"c\": -859, \"d\": -33, \"e\": 16}", "seed": "4661398789266860650", "semantic_fingerprint": "sha256:7dcbf171ba5302a6c8a9f7dcc07ededcf3dc6ae3ef8b2bdf7dc0cf0476473ee0", "generator_version": "3.0"}
{"id": "v3_test_id_00004807", "prompt": "Solve for x: 9(x - 9) - 81 = x - 314", "solution_steps": ["Expand: 9x - 81 - 81 = x - 314", "Combine constants: 9x - 162 = x - 314", "Subtract x from both sides: 8x - 162 = -314", "Add 162 to both sides: 8x = -152", "Divide both sides by 8: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 9) - 81 = x - 314", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 9, \"c\": 81, \"e\": -314, \"x\": -19}", "seed": "9001572920218418503", "semantic_fingerprint": "sha256:d699c022756cf1193a312e7ff7d9edb86dd9f9c33bc11a505bca6d352ecb758c", "generator_version": "3.0"}
{"id": "v3_test_id_00004808", "prompt": "What is (67 + 60) / 6?", "solution_steps": ["Add: 67 + 60 = 127", "Divide: 127 / 6 = 127/6"], "final_answer": "127/6", "answer_type": "rational", "kind": "expression", "math_text": "(67 + 60) / 6", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": 60, \"c\": 6}", "seed": "10976054321963272731", "semantic_fingerprint": "sha256:3daa2acacdc809f70eae1ec6ff5455b9027526240300a83f4c99afad43086204", "generator_version": "3.0"}
{"id": "v3_test_id_00004809", "prompt": "Find x: x = 5(x - 66) + 394", "solution_steps": ["Expand: x = 5x - 330 + 394", "Combine constants: x = 5x + 64", "Subtract 5x from both sides: -4x = 64", "Divide both sides by -4: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 5(x - 66) + 394", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 66, \"d\": 394, \"x\": -16}", "seed": "9073878908491699175", "semantic_fingerprint": "sha256:ba10be9491481723142eed5150172aad7b41fede6565943450b68373731a613f", "generator_version": "3.0"}
{"id": "v3_test_id_00004810", "prompt": "Compute: 5 + 248 + (-978 - (-32 - (-35)))", "solution_steps": ["Add: 5 + 248 = 253", "Subtract: -32 - (-35) = 3", "Subtract: -978 - 3 = -981", "Add: 253 + (-981) = -728"], "final_answer": "-728", "answer_type": "integer", "kind": "expression", "math_text": "5 + 248 + (-978 - (-32 - (-35)))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 248, \"c\": -978, \"d\": -32, \"e\": -35}", "seed": "1376208506479368332", "semantic_fingerprint": "sha256:3883d36adadfcfb4e4bd3f5a27604f7e05bc81930b4bdd17599d174c74c59952", "generator_version": "3.0"}
{"id": "v3_test_id_00004811", "prompt": "Compute: (-69 + (-698) / 9) * (-8) + (-9)", "solution_steps": ["Divide: -698 / 9 = -698/9", "Add: -69 + (-698/9) = -1319/9", "Multiply: (-1319/9) * (-8) = 10552/9", "Add: 10552/9 + (-9) = 10471/9"], "final_answer": "10471/9", "answer_type": "rational", "kind": "expression", "math_text": "(-69 + (-698) / 9) * (-8) + (-9)", "variable": null, "family": "expression_4op", "shape": "(+ (* (+ n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": -698, \"c\": 9, \"d\": -8, \"e\": -9}", "seed": "6980170797884798123", "semantic_fingerprint": "sha256:d5dc69bd8d39a96bb3509b143a0ddb68b8506f1803906b99958b4a4d675bd612", "generator_version": "3.0"}
{"id": "v3_test_id_00004812", "prompt": "Find x: x + 615 = 6(x + 90)", "solution_steps": ["Expand: x + 615 = 6x + 540", "Subtract 6x from both sides: -5x + 615 = 540", "Subtract 615 from both sides: -5x = -75", "Divide both sides by -5: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 615 = 6(x + 90)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 90, \"d\": 615, \"x\": 15}", "seed": "253231017932488958", "semantic_fingerprint": "sha256:c0a7f210ae3346f03b18fd8c0bb604c70117968e6b54486bc3a9e628b9df9fb9", "generator_version": "3.0"}
{"id": "v3_test_id_00004813", "prompt": "What value of x satisfies 12(x + 1) + 54 = -7(x - 45) - 344?", "solution_steps": ["Expand: 12x + 12 + 54 = -7(x - 45) - 344", "Expand: 12x + 12 + 54 = -7x + 315 - 344", "Combine constants: 12x + 66 = -7x + 315 - 344", "Combine constants: 12x + 66 = -7x - 29", "Add 7x to both sides: 19x + 66 = -29", "Subtract 66 from both sides: 19x = -95", "Divide both sides by 19: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 1) + 54 = -7(x - 45) - 344", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 1, \"c\": 54, \"d\": -7, \"e\": 45, \"g\": -344, \"x\": -5}", "seed": "6132341232934407042", "semantic_fingerprint": "sha256:70207eb773eb884ae3eba8de43294726c633c6a080e8347d4559465b466e6d05", "generator_version": "3.0"}
{"id": "v3_test_id_00004814", "prompt": "Solve for x: -9(x + 85) + 109 = 12x - 69", "solution_steps": ["Expand: -9x - 765 + 109 = 12x - 69", "Combine constants: -9x - 656 = 12x - 69", "Subtract 12x from both sides: -21x - 656 = -69", "Add 656 to both sides: -21x = 587", "Divide both sides by -21: x = -587/21"], "final_answer": "-587/21", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 85) + 109 = 12x - 69", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 85, \"c\": 109, \"d\": 12, \"e\": 69}", "seed": "10805080040479373385", "semantic_fingerprint": "sha256:9f4f2f56380f0313d46cbbf7b32c07ebac9b4b86a934b639c8af0bc2516b3b78", "generator_version": "3.0"}
{"id": "v3_test_id_00004815", "prompt": "Solve for x: 11x + 722 = 832", "solution_steps": ["Subtract 722 from both sides: 11x = 110", "Divide both sides by 11: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 722 = 832", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 722, \"d\": 832, \"x\": 10}", "seed": "3814541272089841079", "semantic_fingerprint": "sha256:0eab737b1ed6a68735d6c4a42252b3feba3ef2d0167ed96c2de0881124a31700", "generator_version": "3.0"}
{"id": "v3_test_id_00004816", "prompt": "What is 54 * (1 / (-49))?", "solution_steps": ["Divide: 1 / (-49) = -1/49", "Multiply: 54 * (-1/49) = -54/49"], "final_answer": "-54/49", "answer_type": "rational", "kind": "expression", "math_text": "54 * (1 / (-49))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 1, \"c\": -49}", "seed": "14522599722743736520", "semantic_fingerprint": "sha256:d4ef36e4e7282585c717f128f306a70eafae2d02ad999b5cefcaf11dbf8e52c3", "generator_version": "3.0"}
{"id": "v3_test_id_00004817", "prompt": "Calculate: -7 + 59", "solution_steps": ["Add: -7 + 59 = 52"], "final_answer": "52", "answer_type": "integer", "kind": "expression", "math_text": "-7 + 59", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 59}", "seed": "5452686144940948848", "semantic_fingerprint": "sha256:05e5949736b03eb9e52743c7a06f8e9b81f522d93ab923063a2149b899780c93", "generator_version": "3.0"}
{"id": "v3_test_id_00004818", "prompt": "Find x: -5x + 508 = x + 790", "solution_steps": ["Subtract x from both sides: -6x + 508 = 790", "Subtract 508 from both sides: -6x = 282", "Divide both sides by -6: x = -47"], "final_answer": "-47", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x + 508 = x + 790", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 508, \"c\": 790}", "seed": "2615521822279433549", "semantic_fingerprint": "sha256:beb983478b19edfa726ab7c9be8db398eed1d6aba614fd2f7c8e68fa38790b61", "generator_version": "3.0"}
{"id": "v3_test_id_00004819", "prompt": "Calculate: 596 * 9", "solution_steps": ["Multiply: 596 * 9 = 5364"], "final_answer": "5364", "answer_type": "integer", "kind": "expression", "math_text": "596 * 9", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 596, \"b\": 9}", "seed": "8437276136617946406", "semantic_fingerprint": "sha256:92c160b6c03ef7ccc59db50bc4dc39503e00b3186e63d466725e5107173c812d", "generator_version": "3.0"}
{"id": "v3_test_id_00004820", "prompt": "Evaluate: -24 + 64 * (-694)", "solution_steps": ["Multiply: 64 * (-694) = -44416", "Add: -24 + (-44416) = -44440"], "final_answer": "-44440", "answer_type": "integer", "kind": "expression", "math_text": "-24 + 64 * (-694)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": 64, \"c\": -694}", "seed": "2765867005428196871", "semantic_fingerprint": "sha256:f8bc1983e19906b33a4a64d83ebb980941bb58c562b8cf271eda76030d76cc12", "generator_version": "3.0"}
{"id": "v3_test_id_00004821", "prompt": "What is -224 + (-91 * 3 + (-332) / 3) - (-90)?", "solution_steps": ["Multiply: -91 * 3 = -273", "Divide: -332 / 3 = -332/3", "Add: -273 + (-332/3) = -1151/3", "Add: -224 + (-1151/3) = -1823/3", "Subtract: -1823/3 - (-90) = -1553/3"], "final_answer": "-1553/3", "answer_type": "rational", "kind": "expression", "math_text": "-224 + (-91 * 3 + (-332) / 3) - (-90)", "variable": null, "family": "expression_5op", "shape": "(- (+ n (+ (* n n) (/ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -224, \"b\": -91, \"c\": 3, \"d\": -332, \"e\": 3, \"f\": -90}", "seed": "1094942546219684778", "semantic_fingerprint": "sha256:8da4ac82a95d11fda6e72c454aa0c42d439f0137fb50640c400229e23ae4cf8d", "generator_version": "3.0"}
{"id": "v3_test_id_00004822", "prompt": "Calculate: -339 - (-3)", "solution_steps": ["Subtract: -339 - (-3) = -336"], "final_answer": "-336", "answer_type": "integer", "kind": "expression", "math_text": "-339 - (-3)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -339, \"b\": -3}", "seed": "13283519202264369320", "semantic_fingerprint": "sha256:c245fe725699ad1dedc521de85a284cf5c860ee6e6dae523348ca12616c435ad", "generator_version": "3.0"}
{"id": "v3_test_id_00004823", "prompt": "What value of x satisfies 5(x + 3) + 28 = x - 37?", "solution_steps": ["Expand: 5x + 15 + 28 = x - 37", "Combine constants: 5x + 43 = x - 37", "Subtract x from both sides: 4x + 43 = -37", "Subtract 43 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 + 3) + 28 = x - 37", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 28, \"e\": -37, \"x\": -20}", "seed": "1621422649118190708", "semantic_fingerprint": "sha256:2fc590251bd454c293f7eb0d17c9956e7a8ed810a99b262b3568e757a4e63842", "generator_version": "3.0"}
{"id": "v3_test_id_00004824", "prompt": "Solve the equation 12x + 27 = 11x + 40 for x.", "solution_steps": ["Subtract 11x from both sides: x + 27 = 40", "Subtract 27 from both sides: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 27 = 11x + 40", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 27, \"c\": 11, \"e\": 40, \"x\": 13}", "seed": "11538151387536386056", "semantic_fingerprint": "sha256:eca4e509e4641b3073b8ce4c46bcb0a221d22bef1ebc4386c1a4d508e59d51f4", "generator_version": "3.0"}
{"id": "v3_test_id_00004825", "prompt": "What value of x satisfies x + 60 = 6(x - 348) - 97?", "solution_steps": ["Expand: x + 60 = 6x - 2088 - 97", "Combine constants: x + 60 = 6x - 2185", "Subtract 6x from both sides: -5x + 60 = -2185", "Subtract 60 from both sides: -5x = -2245", "Divide both sides by -5: x = 449"], "final_answer": "449", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 60 = 6(x - 348) - 97", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": 6, \"c\": 348, \"d\": 97}", "seed": "4772090933837987828", "semantic_fingerprint": "sha256:356d932e66630fd420ec5df4c9e1df08c55ea72a625c08a28685b15b50819b4b", "generator_version": "3.0"}
{"id": "v3_test_id_00004826", "prompt": "Evaluate: (85 + 2) * (8 - (-95))", "solution_steps": ["Add: 85 + 2 = 87", "Subtract: 8 - (-95) = 103", "Multiply: 87 * 103 = 8961"], "final_answer": "8961", "answer_type": "integer", "kind": "expression", "math_text": "(85 + 2) * (8 - (-95))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": 2, \"c\": 8, \"d\": -95}", "seed": "10148268382323481014", "semantic_fingerprint": "sha256:7b5b7d99a7d5be98c1c62264c0333a2f9e5c4e9e353dd90c0a2ea3f30caf333b", "generator_version": "3.0"}
{"id": "v3_test_id_00004827", "prompt": "What value of x satisfies 7x + 93 = x - 1?", "solution_steps": ["Subtract x from both sides: 6x + 93 = -1", "Subtract 93 from both sides: 6x = -94", "Divide both sides by 6: x = -47/3"], "final_answer": "-47/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x + 93 = x - 1", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 93, \"c\": 1}", "seed": "16749316746239548961", "semantic_fingerprint": "sha256:6c529b33aa98fdd8e616a886a69c18191d5e1a8f88534814c22c6e6ff43cdef7", "generator_version": "3.0"}
{"id": "v3_test_id_00004828", "prompt": "Calculate: 107 + 632 + (-50) - (-8)", "solution_steps": ["Add: 107 + 632 = 739", "Add: 739 + (-50) = 689", "Subtract: 689 - (-8) = 697"], "final_answer": "697", "answer_type": "integer", "kind": "expression", "math_text": "107 + 632 + (-50) - (-8)", "variable": null, "family": "expression_3op", "shape": "(- (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 107, \"b\": 632, \"c\": -50, \"d\": -8}", "seed": "8700180995556226218", "semantic_fingerprint": "sha256:b50798acea74f6688a65ac97a61b9b72f9a6e0e021fa80099b1b8eac448070c3", "generator_version": "3.0"}
{"id": "v3_test_id_00004829", "prompt": "Solve for x: -3(x - 76) - 697 = 7x - 735", "solution_steps": ["Expand: -3x + 228 - 697 = 7x - 735", "Combine constants: -3x - 469 = 7x - 735", "Subtract 7x from both sides: -10x - 469 = -735", "Add 469 to both sides: -10x = -266", "Divide both sides by -10: x = 133/5"], "final_answer": "133/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 76) - 697 = 7x - 735", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 76, \"c\": 697, \"d\": 7, \"e\": 735}", "seed": "15662316057727973213", "semantic_fingerprint": "sha256:cde0b1ccb43b708fc81e3021f1217df5ec6ed19545acb916f6b8aaec1240565c", "generator_version": "3.0"}
{"id": "v3_test_id_00004830", "prompt": "Compute: 2 - (-4 + 58)", "solution_steps": ["Add: -4 + 58 = 54", "Subtract: 2 - 54 = -52"], "final_answer": "-52", "answer_type": "integer", "kind": "expression", "math_text": "2 - (-4 + 58)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -4, \"c\": 58}", "seed": "16293182064216961357", "semantic_fingerprint": "sha256:ad1ac60abd585ffefa624351814718c4dd2950320a9452cb0bb0295b3a7a4704", "generator_version": "3.0"}
{"id": "v3_test_id_00004831", "prompt": "Calculate: 9 - (-19)", "solution_steps": ["Subtract: 9 - (-19) = 28"], "final_answer": "28", "answer_type": "integer", "kind": "expression", "math_text": "9 - (-19)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -19}", "seed": "15174644622151681689", "semantic_fingerprint": "sha256:dd3ac267a6396947c395109095c7d44f0766044dc47676bfd6824d4dfc3820d7", "generator_version": "3.0"}
{"id": "v3_test_id_00004832", "prompt": "Calculate: -5 + 929", "solution_steps": ["Add: -5 + 929 = 924"], "final_answer": "924", "answer_type": "integer", "kind": "expression", "math_text": "-5 + 929", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 929}", "seed": "4599332396617065739", "semantic_fingerprint": "sha256:894d97c3765997dfbd4bd8ae2030f553d3ac11cf7a297317ff143bfc974342ef", "generator_version": "3.0"}
{"id": "v3_test_id_00004833", "prompt": "What value of x satisfies -12x + 320 = 2x + 264?", "solution_steps": ["Subtract 2x from both sides: -14x + 320 = 264", "Subtract 320 from both sides: -14x = -56", "Divide both sides by -14: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x + 320 = 2x + 264", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 320, \"c\": 2, \"e\": 264, \"x\": 4}", "seed": "6505891515011193310", "semantic_fingerprint": "sha256:10bc9a266c942d4a8ea36fcc6b9f8f84b7f2dce09f3ecf6e7adc8946a44f7b62", "generator_version": "3.0"}
{"id": "v3_test_id_00004834", "prompt": "Solve the equation x = 9(x - 2) - 30 for x.", "solution_steps": ["Expand: x = 9x - 18 - 30", "Combine constants: x = 9x - 48", "Subtract 9x from both sides: -8x = -48", "Divide both sides by -8: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 9(x - 2) - 30", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"d\": -30, \"x\": 6}", "seed": "12582111187210944173", "semantic_fingerprint": "sha256:16e2b685925691b6f23a81dbb8b84f6e10965e8bdb41a710799057310ee7841e", "generator_version": "3.0"}
{"id": "v3_test_id_00004835", "prompt": "Solve the equation -12(x - 99) = -65 for x.", "solution_steps": ["Expand: -12x + 1188 = -65", "Subtract 1188 from both sides: -12x = -1253", "Divide both sides by -12: x = 1253/12"], "final_answer": "1253/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x - 99) = -65", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 99, \"c\": -65}", "seed": "18123041738650307626", "semantic_fingerprint": "sha256:3946602e9264c710fb8ac620ffe2d9502943454da982936327ef0e4d6897dd30", "generator_version": "3.0"}
{"id": "v3_test_id_00004836", "prompt": "Find x: 10x - 78 = x - 51", "solution_steps": ["Subtract x from both sides: 9x - 78 = -51", "Add 78 to both sides: 9x = 27", "Divide both sides by 9: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 78 = x - 51", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 78, \"d\": -51, \"x\": 3}", "seed": "123237578758900829", "semantic_fingerprint": "sha256:277df676730795cb423eafa1c9c59e1507fcfc2be33fc04fa69482b4df0afa50", "generator_version": "3.0"}
{"id": "v3_test_id_00004837", "prompt": "Compute: -76 / (-10 + 7 * (-54))", "solution_steps": ["Multiply: 7 * (-54) = -378", "Add: -10 + (-378) = -388", "Divide: -76 / (-388) = 19/97"], "final_answer": "19/97", "answer_type": "rational", "kind": "expression", "math_text": "-76 / (-10 + 7 * (-54))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": -10, \"c\": 7, \"d\": -54}", "seed": "14668927768423738058", "semantic_fingerprint": "sha256:81aa16bdcc18a8151143b238d96f800c01f4cceab4c042b33b1d61ca963f2900", "generator_version": "3.0"}
{"id": "v3_test_id_00004838", "prompt": "What is -86 * (-67 - (-48) + (-511) - 16 + (-9))?", "solution_steps": ["Subtract: -67 - (-48) = -19", "Add: -19 + (-511) = -530", "Subtract: -530 - 16 = -546", "Add: -546 + (-9) = -555", "Multiply: -86 * (-555) = 47730"], "final_answer": "47730", "answer_type": "integer", "kind": "expression", "math_text": "-86 * (-67 - (-48) + (-511) - 16 + (-9))", "variable": null, "family": "expression_5op", "shape": "(* n (+ (- (+ (- n n) n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": -67, \"c\": -48, \"d\": -511, \"e\": 16, \"f\": -9}", "seed": "1674355775428795151", "semantic_fingerprint": "sha256:54555f1a125240416977cb6028f630aff2b952c37d8562a52e42f5bbae2ccbd4", "generator_version": "3.0"}
{"id": "v3_test_id_00004839", "prompt": "Compute: -2 * (-74 - (-190))", "solution_steps": ["Subtract: -74 - (-190) = 116", "Multiply: -2 * 116 = -232"], "final_answer": "-232", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (-74 - (-190))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -74, \"c\": -190}", "seed": "10911376089141365361", "semantic_fingerprint": "sha256:06c5fb0b80246fc52ba7554481da317e5cc81d73dbf2593297a2216b251486ef", "generator_version": "3.0"}
{"id": "v3_test_id_00004840", "prompt": "Solve for x: -5(x + 1) - 589 = x", "solution_steps": ["Expand: -5x - 5 - 589 = x", "Combine constants: -5x - 594 = x", "Subtract x from both sides: -6x - 594 = 0", "Add 594 to both sides: -6x = 594", "Divide both sides by -6: x = -99"], "final_answer": "-99", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 1) - 589 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 1, \"c\": 589}", "seed": "11222863045835348756", "semantic_fingerprint": "sha256:5ce165b4cee299aeb0a1c8497f2917049e0411297d49ba67a4212e50e43baf26", "generator_version": "3.0"}
{"id": "v3_test_id_00004841", "prompt": "What value of x satisfies -10(x + 70) = 7x?", "solution_steps": ["Expand: -10x - 700 = 7x", "Subtract 7x from both sides: -17x - 700 = 0", "Add 700 to both sides: -17x = 700", "Divide both sides by -17: x = -700/17"], "final_answer": "-700/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x + 70) = 7x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 70, \"c\": 7}", "seed": "10396084834654957928", "semantic_fingerprint": "sha256:e02cd8fecd328849202cacea4c65d52e60d97f6974d72064cb264728bbf83ddf", "generator_version": "3.0"}
{"id": "v3_test_id_00004842", "prompt": "Solve the equation -2x + 208 = 2(x + 7) - 81 for x.", "solution_steps": ["Expand: -2x + 208 = 2x + 14 - 81", "Combine constants: -2x + 208 = 2x - 67", "Subtract 2x from both sides: -4x + 208 = -67", "Subtract 208 from both sides: -4x = -275", "Divide both sides by -4: x = 275/4"], "final_answer": "275/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2x + 208 = 2(x + 7) - 81", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 208, \"c\": 2, \"d\": 7, \"e\": 81}", "seed": "16729583585006206732", "semantic_fingerprint": "sha256:660391f3c2889ab2ce7b2ddc5750b812aa07924d89369be882618cc9b01d5fe1", "generator_version": "3.0"}
{"id": "v3_test_id_00004843", "prompt": "Evaluate: -5 + (15 + (-43)) * 9", "solution_steps": ["Add: 15 + (-43) = -28", "Multiply: -28 * 9 = -252", "Add: -5 + (-252) = -257"], "final_answer": "-257", "answer_type": "integer", "kind": "expression", "math_text": "-5 + (15 + (-43)) * 9", "variable": null, "family": "expression_3op", "shape": "(+ n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 15, \"c\": -43, \"d\": 9}", "seed": "8973378367958352131", "semantic_fingerprint": "sha256:d916eaa49472f9d7282acf5882590b09c7f6700ec551e9abb663be07ee64013c", "generator_version": "3.0"}
{"id": "v3_test_id_00004844", "prompt": "What is -2 - (-4)?", "solution_steps": ["Subtract: -2 - (-4) = 2"], "final_answer": "2", "answer_type": "integer", "kind": "expression", "math_text": "-2 - (-4)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -4}", "seed": "13820287966355792690", "semantic_fingerprint": "sha256:5e8373c966b0460077394f6db47adfc764bd20cfa361b360a96e1b6cf788e5d8", "generator_version": "3.0"}
{"id": "v3_test_id_00004845", "prompt": "Compute: (-3 - 105 + 3) * (4 + (-7))", "solution_steps": ["Subtract: -3 - 105 = -108", "Add: -108 + 3 = -105", "Add: 4 + (-7) = -3", "Multiply: -105 * (-3) = 315"], "final_answer": "315", "answer_type": "integer", "kind": "expression", "math_text": "(-3 - 105 + 3) * (4 + (-7))", "variable": null, "family": "expression_4op", "shape": "(* (+ (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 105, \"c\": 3, \"d\": 4, \"e\": -7}", "seed": "9311083532055223445", "semantic_fingerprint": "sha256:d82c61b89be25a7e7db137ec4d8e98384b02506766f8128385d2914a43c697e5", "generator_version": "3.0"}
{"id": "v3_test_id_00004846", "prompt": "What value of x satisfies -3x + 858 = 5(x + 7) - 84?", "solution_steps": ["Expand: -3x + 858 = 5x + 35 - 84", "Combine constants: -3x + 858 = 5x - 49", "Subtract 5x from both sides: -8x + 858 = -49", "Subtract 858 from both sides: -8x = -907", "Divide both sides by -8: x = 907/8"], "final_answer": "907/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3x + 858 = 5(x + 7) - 84", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 858, \"c\": 5, \"d\": 7, \"e\": 84}", "seed": "8584855623843055398", "semantic_fingerprint": "sha256:7d16f742ef33020310acdbffc44ac32801dd15597ad20dd0414d63ff2bc20109", "generator_version": "3.0"}
{"id": "v3_test_id_00004847", "prompt": "Solve the equation 7(x - 9) = 9(x + 77) + 9 for x.", "solution_steps": ["Expand: 7x - 63 = 9(x + 77) + 9", "Expand: 7x - 63 = 9x + 693 + 9", "Combine constants: 7x - 63 = 9x + 702", "Subtract 9x from both sides: -2x - 63 = 702", "Add 63 to both sides: -2x = 765", "Divide both sides by -2: x = -765/2"], "final_answer": "-765/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 9) = 9(x + 77) + 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": 9, \"d\": 77, \"e\": 9}", "seed": "15361917587663162772", "semantic_fingerprint": "sha256:5e8ea7ca914926497554a26853bd629c343a0b6b2ceb4acdebcb0a85ad1de56f", "generator_version": "3.0"}
{"id": "v3_test_id_00004848", "prompt": "What value of x satisfies -8x + 97 = 11x + 382?", "solution_steps": ["Subtract 11x from both sides: -19x + 97 = 382", "Subtract 97 from both sides: -19x = 285", "Divide both sides by -19: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x + 97 = 11x + 382", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 97, \"c\": 11, \"e\": 382, \"x\": -15}", "seed": "12486829841698375376", "semantic_fingerprint": "sha256:caf80a91cfac29b6fc5fd6af35695be9538838097b4796f2b8f80f812fae97f0", "generator_version": "3.0"}
{"id": "v3_test_id_00004849", "prompt": "What is 9 + (-74)?", "solution_steps": ["Add: 9 + (-74) = -65"], "final_answer": "-65", "answer_type": "integer", "kind": "expression", "math_text": "9 + (-74)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -74}", "seed": "2690535911758858379", "semantic_fingerprint": "sha256:765f6dc6e407e88e742a16324d25c2099e4ef7712bb5499c57ad6f33f48dcc76", "generator_version": "3.0"}
{"id": "v3_test_id_00004850", "prompt": "Compute: (-3 - (-91)) / 2", "solution_steps": ["Subtract: -3 - (-91) = 88", "Divide: 88 / 2 = 44"], "final_answer": "44", "answer_type": "integer", "kind": "expression", "math_text": "(-3 - (-91)) / 2", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -91, \"c\": 2}", "seed": "16955333309156545574", "semantic_fingerprint": "sha256:8e830e603cb5f75dc85cb038ef62e29b4a9d4b5589e06e3a0aec5bec85490399", "generator_version": "3.0"}
{"id": "v3_test_id_00004851", "prompt": "Find x: 7(x + 1) - 40 = -12(x + 479) - 70", "solution_steps": ["Expand: 7x + 7 - 40 = -12(x + 479) - 70", "Expand: 7x + 7 - 40 = -12x - 5748 - 70", "Combine constants: 7x - 33 = -12x - 5748 - 70", "Combine constants: 7x - 33 = -12x - 5818", "Add 12x to both sides: 19x - 33 = -5818", "Add 33 to both sides: 19x = -5785", "Divide both sides by 19: x = -5785/19"], "final_answer": "-5785/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 1) - 40 = -12(x + 479) - 70", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 1, \"c\": 40, \"d\": -12, \"e\": 479, \"f\": 70}", "seed": "7863025934339158394", "semantic_fingerprint": "sha256:25741d8561a4e45936567e562b18bb6ad25a1e41b9b434ee4e8000cf5c01b103", "generator_version": "3.0"}
{"id": "v3_test_id_00004852", "prompt": "Calculate: 0 * (-4 - 6)", "solution_steps": ["Subtract: -4 - 6 = -10", "Multiply: 0 * (-10) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-4 - 6)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -4, \"c\": 6}", "seed": "2405257452190952208", "semantic_fingerprint": "sha256:385b7bfd128dcfb40d07fd46dce25921e0fbf017101dfd2e6cc1e2852f5bc936", "generator_version": "3.0"}
{"id": "v3_test_id_00004853", "prompt": "What is -22 - (-32) * (-37) + 9?", "solution_steps": ["Multiply: -32 * (-37) = 1184", "Subtract: -22 - 1184 = -1206", "Add: -1206 + 9 = -1197"], "final_answer": "-1197", "answer_type": "integer", "kind": "expression", "math_text": "-22 - (-32) * (-37) + 9", "variable": null, "family": "expression_3op", "shape": "(+ (- n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": -32, \"c\": -37, \"d\": 9}", "seed": "1932045790328136281", "semantic_fingerprint": "sha256:5226472b2df7828211a45d8dffb877059325631f5d8ebad3580a88f4b516e566", "generator_version": "3.0"}
{"id": "v3_test_id_00004854", "prompt": "Solve for x: x + 416 = 6x + 411", "solution_steps": ["Subtract 6x from both sides: -5x + 416 = 411", "Subtract 416 from both sides: -5x = -5", "Divide both sides by -5: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 416 = 6x + 411", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 416, \"b\": 6, \"d\": 411, \"x\": 1}", "seed": "16279797789821854283", "semantic_fingerprint": "sha256:fdf0997d3144e33e1adc00a46b941d419992515c7dd1cff15113e9626102122f", "generator_version": "3.0"}
{"id": "v3_test_id_00004855", "prompt": "Calculate: -32 + 666 - (-37) / 589", "solution_steps": ["Add: -32 + 666 = 634", "Divide: -37 / 589 = -37/589", "Subtract: 634 - (-37/589) = 373463/589"], "final_answer": "373463/589", "answer_type": "rational", "kind": "expression", "math_text": "-32 + 666 - (-37) / 589", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": 666, \"c\": -37, \"d\": 589}", "seed": "5538029502109779204", "semantic_fingerprint": "sha256:aef0f3d9ecd803ee2fb0b288d5808ea882da814674224b97080a1cd21fef527f", "generator_version": "3.0"}
{"id": "v3_test_id_00004856", "prompt": "Calculate: -258 - 33 * (-96)", "solution_steps": ["Multiply: 33 * (-96) = -3168", "Subtract: -258 - (-3168) = 2910"], "final_answer": "2910", "answer_type": "integer", "kind": "expression", "math_text": "-258 - 33 * (-96)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -258, \"b\": 33, \"c\": -96}", "seed": "2886886604765383698", "semantic_fingerprint": "sha256:9215705f6dde546820aba198d32da462effc0131d29fe8d956cbf2bbde69d6a6", "generator_version": "3.0"}
{"id": "v3_test_id_00004857", "prompt": "Evaluate: (21 * 87 + (-996)) / (995 - (-280))", "solution_steps": ["Multiply: 21 * 87 = 1827", "Add: 1827 + (-996) = 831", "Subtract: 995 - (-280) = 1275", "Divide: 831 / 1275 = 277/425"], "final_answer": "277/425", "answer_type": "rational", "kind": "expression", "math_text": "(21 * 87 + (-996)) / (995 - (-280))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": 87, \"c\": -996, \"d\": 995, \"e\": -280}", "seed": "2189586309250059233", "semantic_fingerprint": "sha256:71d42f95d5bb9091a0995d4d7fe8abb34ccca813df4f8b3f7f41e5ec92fe19f2", "generator_version": "3.0"}
{"id": "v3_test_id_00004858", "prompt": "Calculate: -402 / (-97) * (-9) - (857 - (-7 - (-114)))", "solution_steps": ["Divide: -402 / (-97) = 402/97", "Multiply: (402/97) * (-9) = -3618/97", "Subtract: -7 - (-114) = 107", "Subtract: 857 - 107 = 750", "Subtract: -3618/97 - 750 = -76368/97"], "final_answer": "-76368/97", "answer_type": "rational", "kind": "expression", "math_text": "-402 / (-97) * (-9) - (857 - (-7 - (-114)))", "variable": null, "family": "expression_5op", "shape": "(- (* (/ n n) n) (- n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -402, \"b\": -97, \"c\": -9, \"d\": 857, \"e\": -7, \"f\": -114}", "seed": "12612954503473377060", "semantic_fingerprint": "sha256:4742fe461acd6e1e294b99521ae690a39c5b3429ee9c9739895ec4968499650e", "generator_version": "3.0"}
{"id": "v3_test_id_00004859", "prompt": "Solve the equation x + 5 = -13 for x.", "solution_steps": ["Subtract 5 from both sides: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5 = -13", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"c\": -13, \"x\": -18}", "seed": "476255947016567677", "semantic_fingerprint": "sha256:cf0d324c86306813210f8929c1870df8e67ac37178100eec7a1cfb7d0c5f5b77", "generator_version": "3.0"}
{"id": "v3_test_id_00004860", "prompt": "Evaluate: 9 / (84 + (-67))", "solution_steps": ["Add: 84 + (-67) = 17", "Divide: 9 / 17 = 9/17"], "final_answer": "9/17", "answer_type": "rational", "kind": "expression", "math_text": "9 / (84 + (-67))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 84, \"c\": -67}", "seed": "12984070682076137430", "semantic_fingerprint": "sha256:75fdf6b0243204a0a6d83a10cd7682c68d911889c62c6bb9364930297065a68c", "generator_version": "3.0"}
{"id": "v3_test_id_00004861", "prompt": "Find x: x + 65 = -4x", "solution_steps": ["Add 4x to both sides: 5x + 65 = 0", "Subtract 65 from both sides: 5x = -65", "Divide both sides by 5: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 65 = -4x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"c\": 65, \"x\": -13}", "seed": "10368575815594328469", "semantic_fingerprint": "sha256:83b54fafeb6cb0d5068bc1c8ab27985e7babaaf1911ae34e4a0be4dff316abfa", "generator_version": "3.0"}
{"id": "v3_test_id_00004862", "prompt": "What is (7 + (-82 - 635)) * (205 + 6)?", "solution_steps": ["Subtract: -82 - 635 = -717", "Add: 7 + (-717) = -710", "Add: 205 + 6 = 211", "Multiply: -710 * 211 = -149810"], "final_answer": "-149810", "answer_type": "integer", "kind": "expression", "math_text": "(7 + (-82 - 635)) * (205 + 6)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -82, \"c\": 635, \"d\": 205, \"e\": 6}", "seed": "1114848313930235964", "semantic_fingerprint": "sha256:88b40545bd74037ed1888387cc46382d7a8f773d29111b67c3108b3711dd222a", "generator_version": "3.0"}
{"id": "v3_test_id_00004863", "prompt": "Solve the equation -7x - 71 = -169 for x.", "solution_steps": ["Add 71 to both sides: -7x = -98", "Divide both sides by -7: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x - 71 = -169", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 71, \"d\": -169, \"x\": 14}", "seed": "8062230744946279706", "semantic_fingerprint": "sha256:75647ea64fc24d0327c506c310ea87a4629ba80f29528fef03a577fe87cc6bac", "generator_version": "3.0"}
{"id": "v3_test_id_00004864", "prompt": "Solve the equation 3(x - 6) + 72 = x + 63 for x.", "solution_steps": ["Expand: 3x - 18 + 72 = x + 63", "Combine constants: 3x + 54 = x + 63", "Subtract x from both sides: 2x + 54 = 63", "Subtract 54 from both sides: 2x = 9", "Divide both sides by 2: x = 9/2"], "final_answer": "9/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 6) + 72 = x + 63", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 6, \"c\": 72, \"d\": 63}", "seed": "4608508384016246683", "semantic_fingerprint": "sha256:c74a3d39369442c15fcfcf2d4455cfb7c04efd43bec7071cc2e5e95a2ea62c31", "generator_version": "3.0"}
{"id": "v3_test_id_00004865", "prompt": "What is -831 - (-464)?", "solution_steps": ["Subtract: -831 - (-464) = -367"], "final_answer": "-367", "answer_type": "integer", "kind": "expression", "math_text": "-831 - (-464)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -831, \"b\": -464}", "seed": "15972340351949015640", "semantic_fingerprint": "sha256:225a8fa6c6fef2bd679f3d8d540d2974b8124930670c0a28c2afcff72002fc12", "generator_version": "3.0"}
{"id": "v3_test_id_00004866", "prompt": "Calculate: -27 - (7 - (-861))", "solution_steps": ["Subtract: 7 - (-861) = 868", "Subtract: -27 - 868 = -895"], "final_answer": "-895", "answer_type": "integer", "kind": "expression", "math_text": "-27 - (7 - (-861))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": 7, \"c\": -861}", "seed": "15474507155869965919", "semantic_fingerprint": "sha256:b8b8d6def6c7a1f55289f56258d2145d9ba661953a0d9164c805b5d5dbc7d3f2", "generator_version": "3.0"}
{"id": "v3_test_id_00004867", "prompt": "Solve the equation x + 8 = 3x + 4 for x.", "solution_steps": ["Subtract 3x from both sides: -2x + 8 = 4", "Subtract 8 from both sides: -2x = -4", "Divide both sides by -2: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 8 = 3x + 4", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"d\": 4, \"x\": 2}", "seed": "5592355917268227419", "semantic_fingerprint": "sha256:dec47401510c3cf1101edb52b9a3ba4106b2fa8a997c2ecc20ecac327e9bee57", "generator_version": "3.0"}
{"id": "v3_test_id_00004868", "prompt": "Calculate: -3 + 882", "solution_steps": ["Add: -3 + 882 = 879"], "final_answer": "879", "answer_type": "integer", "kind": "expression", "math_text": "-3 + 882", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 882}", "seed": "3059058022147360516", "semantic_fingerprint": "sha256:75e3b68ce26136412ca18358b4c8ebe90d34ebeb86bdaf35b02dfdadc006e099", "generator_version": "3.0"}
{"id": "v3_test_id_00004869", "prompt": "Evaluate: -71 - 983", "solution_steps": ["Subtract: -71 - 983 = -1054"], "final_answer": "-1054", "answer_type": "integer", "kind": "expression", "math_text": "-71 - 983", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": 983}", "seed": "9702592591927332136", "semantic_fingerprint": "sha256:cc5f17035d756d8d57a956e2fff8941ad2acc61ccf6920c316402f6a7324ee1e", "generator_version": "3.0"}
{"id": "v3_test_id_00004870", "prompt": "Evaluate: (728 + (386 - 0)) * (35 * (-2))", "solution_steps": ["Subtract: 386 - 0 = 386", "Add: 728 + 386 = 1114", "Multiply: 35 * (-2) = -70", "Multiply: 1114 * (-70) = -77980"], "final_answer": "-77980", "answer_type": "integer", "kind": "expression", "math_text": "(728 + (386 - 0)) * (35 * (-2))", "variable": null, "family": "expression_4op", "shape": "(* (+ n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 728, \"b\": 386, \"c\": 0, \"d\": 35, \"e\": -2}", "seed": "1556276573263722530", "semantic_fingerprint": "sha256:15eaf5bc9e2acab5ccbbc3fc12b9edad7951b86023984c31e3f3938769d951d3", "generator_version": "3.0"}
{"id": "v3_test_id_00004871", "prompt": "Evaluate: 610 * 71 / (17 - (-791 + 90 * 14))", "solution_steps": ["Multiply: 610 * 71 = 43310", "Multiply: 90 * 14 = 1260", "Add: -791 + 1260 = 469", "Subtract: 17 - 469 = -452", "Divide: 43310 / (-452) = -21655/226"], "final_answer": "-21655/226", "answer_type": "rational", "kind": "expression", "math_text": "610 * 71 / (17 - (-791 + 90 * 14))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (- n (+ n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 610, \"b\": 71, \"c\": 17, \"d\": -791, \"e\": 90, \"f\": 14}", "seed": "9507081373163529024", "semantic_fingerprint": "sha256:4868a611da0cbe16b5d8d2397df3f331fac950dc4e0a4a10d386f58bd4c1a563", "generator_version": "3.0"}
{"id": "v3_test_id_00004872", "prompt": "Calculate: 6 / (-77 + 509) - (-354 + 3)", "solution_steps": ["Add: -77 + 509 = 432", "Divide: 6 / 432 = 1/72", "Add: -354 + 3 = -351", "Subtract: 1/72 - (-351) = 25273/72"], "final_answer": "25273/72", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-77 + 509) - (-354 + 3)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -77, \"c\": 509, \"d\": -354, \"e\": 3}", "seed": "17878817684001506444", "semantic_fingerprint": "sha256:d4645604ae8a9d9e45976baa5915725a0752b063b38eaacb6465ac34dbb33a82", "generator_version": "3.0"}
{"id": "v3_test_id_00004873", "prompt": "Solve the equation -3(x - 107) + 812 = 12x - 5 for x.", "solution_steps": ["Expand: -3x + 321 + 812 = 12x - 5", "Combine constants: -3x + 1133 = 12x - 5", "Subtract 12x from both sides: -15x + 1133 = -5", "Subtract 1133 from both sides: -15x = -1138", "Divide both sides by -15: x = 1138/15"], "final_answer": "1138/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 107) + 812 = 12x - 5", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 107, \"c\": 812, \"d\": 12, \"e\": 5}", "seed": "10566262457712393729", "semantic_fingerprint": "sha256:d23f63d8ee0c6871485417a9dd58ee88794629e12f188cb93e9699f2329b7b56", "generator_version": "3.0"}
{"id": "v3_test_id_00004874", "prompt": "Find x: 2x = x + 16", "solution_steps": ["Subtract x from both sides: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = x + 16", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"c\": 16, \"x\": 16}", "seed": "8489777963045825016", "semantic_fingerprint": "sha256:93aca4b8044f0c37d50b532c370326a4f89f5ed5ab3effa02da30a42b3fa7c53", "generator_version": "3.0"}
{"id": "v3_test_id_00004875", "prompt": "What is -19 + 60?", "solution_steps": ["Add: -19 + 60 = 41"], "final_answer": "41", "answer_type": "integer", "kind": "expression", "math_text": "-19 + 60", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": 60}", "seed": "5674037852717551288", "semantic_fingerprint": "sha256:20f3b2f88fb5acb7824cdb96a8b529e5f797566b1948e6bb01026e51fcf8c3dd", "generator_version": "3.0"}
{"id": "v3_test_id_00004876", "prompt": "Find x: 7(x - 43) = -12(x + 725)", "solution_steps": ["Expand: 7x - 301 = -12(x + 725)", "Expand: 7x - 301 = -12x - 8700", "Add 12x to both sides: 19x - 301 = -8700", "Add 301 to both sides: 19x = -8399", "Divide both sides by 19: x = -8399/19"], "final_answer": "-8399/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 43) = -12(x + 725)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 43, \"c\": -12, \"d\": 725}", "seed": "3111256901928074821", "semantic_fingerprint": "sha256:f11aa1da22a6c59ed9ff8c46f3d5190af83c5550ed8a76aa69b4936f56fc5bf2", "generator_version": "3.0"}
{"id": "v3_test_id_00004877", "prompt": "Solve the equation -4(x + 17) + 6 = 9(x + 5) for x.", "solution_steps": ["Expand: -4x - 68 + 6 = 9(x + 5)", "Expand: -4x - 68 + 6 = 9x + 45", "Combine constants: -4x - 62 = 9x + 45", "Subtract 9x from both sides: -13x - 62 = 45", "Add 62 to both sides: -13x = 107", "Divide both sides by -13: x = -107/13"], "final_answer": "-107/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 17) + 6 = 9(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\": 17, \"c\": 6, \"d\": 9, \"e\": 5}", "seed": "2899601800493449013", "semantic_fingerprint": "sha256:e23bcb38fb2d35824de0966eb7168203b3e68ab51e70e6e2eddc3c78d4b6a2c2", "generator_version": "3.0"}
{"id": "v3_test_id_00004878", "prompt": "Compute: 6 - (-1) + (-72)", "solution_steps": ["Subtract: 6 - (-1) = 7", "Add: 7 + (-72) = -65"], "final_answer": "-65", "answer_type": "integer", "kind": "expression", "math_text": "6 - (-1) + (-72)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -1, \"c\": -72}", "seed": "11453379221946818569", "semantic_fingerprint": "sha256:433ddcede654d40ab367abd7d0ae0d78a25aa0c679c1f35deef40848ce3acae8", "generator_version": "3.0"}
{"id": "v3_test_id_00004879", "prompt": "What is 318 - (58 + (-854 + 834)) * 0?", "solution_steps": ["Add: -854 + 834 = -20", "Add: 58 + (-20) = 38", "Multiply: 38 * 0 = 0", "Subtract: 318 - 0 = 318"], "final_answer": "318", "answer_type": "integer", "kind": "expression", "math_text": "318 - (58 + (-854 + 834)) * 0", "variable": null, "family": "expression_4op", "shape": "(- n (* (+ n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 318, \"b\": 58, \"c\": -854, \"d\": 834, \"e\": 0}", "seed": "223627117358848423", "semantic_fingerprint": "sha256:48bf21c7d5a50ccf04a966b30511c56d9ecf694519594add40cb5b8b5c376313", "generator_version": "3.0"}
{"id": "v3_test_id_00004880", "prompt": "Find x: 12(x - 8) - 390 = -3(x + 92)", "solution_steps": ["Expand: 12x - 96 - 390 = -3(x + 92)", "Expand: 12x - 96 - 390 = -3x - 276", "Combine constants: 12x - 486 = -3x - 276", "Add 3x to both sides: 15x - 486 = -276", "Add 486 to both sides: 15x = 210", "Divide both sides by 15: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 8) - 390 = -3(x + 92)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 8, \"c\": -3, \"d\": 92, \"f\": -390, \"x\": 14}", "seed": "17579878075677528003", "semantic_fingerprint": "sha256:f922aba64e479278313ffd43556fa3172a2fbe9e03c62dbaa86589065b4d5b79", "generator_version": "3.0"}
{"id": "v3_test_id_00004881", "prompt": "What is 7 - (96 - 0) * 2?", "solution_steps": ["Subtract: 96 - 0 = 96", "Multiply: 96 * 2 = 192", "Subtract: 7 - 192 = -185"], "final_answer": "-185", "answer_type": "integer", "kind": "expression", "math_text": "7 - (96 - 0) * 2", "variable": null, "family": "expression_3op", "shape": "(- n (* (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 96, \"c\": 0, \"d\": 2}", "seed": "16382344810211678092", "semantic_fingerprint": "sha256:d84339744dd203a47ae5a847e227446b100f06516db41df82a74fb11b3cae995", "generator_version": "3.0"}
{"id": "v3_test_id_00004882", "prompt": "Solve for x: 3x = x - 4", "solution_steps": ["Subtract x from both sides: 2x = -4", "Divide both sides by 2: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = x - 4", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 4}", "seed": "15960397391029555239", "semantic_fingerprint": "sha256:d93fb987934741fa08344638b4562535d9a91b74f8218811f41e0b5b2b7fd9dd", "generator_version": "3.0"}
{"id": "v3_test_id_00004883", "prompt": "What is 49 * (-169 * (-8))?", "solution_steps": ["Multiply: -169 * (-8) = 1352", "Multiply: 49 * 1352 = 66248"], "final_answer": "66248", "answer_type": "integer", "kind": "expression", "math_text": "49 * (-169 * (-8))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": -169, \"c\": -8}", "seed": "12134822693507055547", "semantic_fingerprint": "sha256:6ef9265c3b9afe85cb62e3cd4a6286316166df020ddd31762e607194d88ec939", "generator_version": "3.0"}
{"id": "v3_test_id_00004884", "prompt": "Solve the equation -4(x - 7) - 9 = 10x + 215 for x.", "solution_steps": ["Expand: -4x + 28 - 9 = 10x + 215", "Combine constants: -4x + 19 = 10x + 215", "Subtract 10x from both sides: -14x + 19 = 215", "Subtract 19 from both sides: -14x = 196", "Divide both sides by -14: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 7) - 9 = 10x + 215", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 7, \"c\": 9, \"d\": 10, \"f\": 215, \"x\": -14}", "seed": "14767117600070406968", "semantic_fingerprint": "sha256:e618f72ed2a7c5fc6e9537d134e3264f533841d38940558ab3a9dbc2f6009f3b", "generator_version": "3.0"}
{"id": "v3_test_id_00004885", "prompt": "What value of x satisfies x = -5(x + 5)?", "solution_steps": ["Expand: x = -5x - 25", "Add 5x to both sides: 6x = -25", "Divide both sides by 6: x = -25/6"], "final_answer": "-25/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -5(x + 5)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 5}", "seed": "5359598525310992829", "semantic_fingerprint": "sha256:619951b8a5f1d361c825747602e1f0ed6764420fe357a05fbc9c08cf5b423c82", "generator_version": "3.0"}
{"id": "v3_test_id_00004886", "prompt": "Evaluate: 9 + (-92 - (-9) + 795)", "solution_steps": ["Subtract: -92 - (-9) = -83", "Add: -83 + 795 = 712", "Add: 9 + 712 = 721"], "final_answer": "721", "answer_type": "integer", "kind": "expression", "math_text": "9 + (-92 - (-9) + 795)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -92, \"c\": -9, \"d\": 795}", "seed": "6228249690481728495", "semantic_fingerprint": "sha256:e6cc0b307370a66e0af827203193e55f4ec2c04919f1bbfa39223b177b78d0e9", "generator_version": "3.0"}
{"id": "v3_test_id_00004887", "prompt": "Calculate: (6 - 40) / ((-9 - (-16)) / (-12))", "solution_steps": ["Subtract: 6 - 40 = -34", "Subtract: -9 - (-16) = 7", "Divide: 7 / (-12) = -7/12", "Divide: -34 / (-7/12) = 408/7"], "final_answer": "408/7", "answer_type": "rational", "kind": "expression", "math_text": "(6 - 40) / ((-9 - (-16)) / (-12))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 40, \"c\": -9, \"d\": -16, \"e\": -12}", "seed": "12125748818656748750", "semantic_fingerprint": "sha256:3cc2f75a4b92ed2cf80f6734b0b2e23a0fcf907a511702354a7b66834683b548", "generator_version": "3.0"}
{"id": "v3_test_id_00004888", "prompt": "What is -7 + (870 / 3 - 69)?", "solution_steps": ["Divide: 870 / 3 = 290", "Subtract: 290 - 69 = 221", "Add: -7 + 221 = 214"], "final_answer": "214", "answer_type": "integer", "kind": "expression", "math_text": "-7 + (870 / 3 - 69)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 870, \"c\": 3, \"d\": 69}", "seed": "2247480190035684397", "semantic_fingerprint": "sha256:7cd17a0ff33939767e1f5c89bd36f4914c0153be0148605d7ebbe2268b18922e", "generator_version": "3.0"}
{"id": "v3_test_id_00004889", "prompt": "Calculate: -991 - (-514) * (-29)", "solution_steps": ["Multiply: -514 * (-29) = 14906", "Subtract: -991 - 14906 = -15897"], "final_answer": "-15897", "answer_type": "integer", "kind": "expression", "math_text": "-991 - (-514) * (-29)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -991, \"b\": -514, \"c\": -29}", "seed": "11057415390718257837", "semantic_fingerprint": "sha256:e031e46a707069586e43e0ae46c826f49f1c00159ac4f80f141e1c686daa727a", "generator_version": "3.0"}
{"id": "v3_test_id_00004890", "prompt": "Solve the equation -12(x + 8) = -10x - 112 for x.", "solution_steps": ["Expand: -12x - 96 = -10x - 112", "Add 10x to both sides: -2x - 96 = -112", "Add 96 to both sides: -2x = -16", "Divide both sides by -2: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 8) = -10x - 112", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 8, \"c\": -10, \"e\": -112, \"x\": 8}", "seed": "7139594601725568210", "semantic_fingerprint": "sha256:da0bd50c17c34117283ff6b91a0bbe57da6e903a29936b5110ba785f3f4c6c1d", "generator_version": "3.0"}
{"id": "v3_test_id_00004891", "prompt": "Solve the equation 11(x - 5) + 7 = 2(x - 76) + 275 for x.", "solution_steps": ["Expand: 11x - 55 + 7 = 2(x - 76) + 275", "Expand: 11x - 55 + 7 = 2x - 152 + 275", "Combine constants: 11x - 48 = 2x - 152 + 275", "Combine constants: 11x - 48 = 2x + 123", "Subtract 2x from both sides: 9x - 48 = 123", "Add 48 to both sides: 9x = 171", "Divide both sides by 9: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 5) + 7 = 2(x - 76) + 275", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": 7, \"d\": 2, \"e\": 76, \"g\": 275, \"x\": 19}", "seed": "10574077128642786511", "semantic_fingerprint": "sha256:ce274cfc9b1ff53c27642ba63611db26db6c7a33ecfdb6dd3607b2c3c9af76b2", "generator_version": "3.0"}
{"id": "v3_test_id_00004892", "prompt": "Solve the equation 6x - 938 = x - 898 for x.", "solution_steps": ["Subtract x from both sides: 5x - 938 = -898", "Add 938 to both sides: 5x = 40", "Divide both sides by 5: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 938 = x - 898", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 938, \"d\": -898, \"x\": 8}", "seed": "12644552280112813513", "semantic_fingerprint": "sha256:989895b7d68d5fdbab752e7123bda46b1d42521dae8e096194b624a7aef41fa0", "generator_version": "3.0"}
{"id": "v3_test_id_00004893", "prompt": "What is 54 / 21?", "solution_steps": ["Divide: 54 / 21 = 18/7"], "final_answer": "18/7", "answer_type": "rational", "kind": "expression", "math_text": "54 / 21", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": 21}", "seed": "16677135750745616586", "semantic_fingerprint": "sha256:e028f3ba3d5a2ca87809859d7194c898f492268bb8f346534328671543da821f", "generator_version": "3.0"}
{"id": "v3_test_id_00004894", "prompt": "What is -5 - (-1) + 4 * ((-603 + 91) * 8)?", "solution_steps": ["Subtract: -5 - (-1) = -4", "Add: -603 + 91 = -512", "Multiply: -512 * 8 = -4096", "Multiply: 4 * (-4096) = -16384", "Add: -4 + (-16384) = -16388"], "final_answer": "-16388", "answer_type": "integer", "kind": "expression", "math_text": "-5 - (-1) + 4 * ((-603 + 91) * 8)", "variable": null, "family": "expression_5op", "shape": "(+ (- n n) (* n (* (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -1, \"c\": 4, \"d\": -603, \"e\": 91, \"f\": 8}", "seed": "15505493115015744035", "semantic_fingerprint": "sha256:2a4428bfb15216db56f54981fea4edb76548944d88a674dfb67dc8f8f22c260f", "generator_version": "3.0"}
{"id": "v3_test_id_00004895", "prompt": "What is -4 / ((6 + (-76) + 82) / (208 / 440))?", "solution_steps": ["Add: 6 + (-76) = -70", "Add: -70 + 82 = 12", "Divide: 208 / 440 = 26/55", "Divide: 12 / (26/55) = 330/13", "Divide: -4 / (330/13) = -26/165"], "final_answer": "-26/165", "answer_type": "rational", "kind": "expression", "math_text": "-4 / ((6 + (-76) + 82) / (208 / 440))", "variable": null, "family": "expression_5op", "shape": "(/ n (/ (+ (+ n n) n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 6, \"c\": -76, \"d\": 82, \"e\": 208, \"f\": 440}", "seed": "17353221192321646076", "semantic_fingerprint": "sha256:f24717afd2b2f041c93d649a9503298322d2a3c82d2aa289beba74507be900e6", "generator_version": "3.0"}
{"id": "v3_test_id_00004896", "prompt": "What value of x satisfies 2x + 6 = 38?", "solution_steps": ["Subtract 6 from both sides: 2x = 32", "Divide both sides by 2: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x + 6 = 38", "variable": "x", "family": "linear_equation", "shape": "kx+c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 6, \"d\": 38, \"x\": 16}", "seed": "62126823153571853", "semantic_fingerprint": "sha256:a729515fe4f9e44f1c0049a9055e8fd0ca5bac01794a92abf318534a1feb4b08", "generator_version": "3.0"}
{"id": "v3_test_id_00004897", "prompt": "Solve for x: x = 12x + 41", "solution_steps": ["Subtract 12x from both sides: -11x = 41", "Divide both sides by -11: x = -41/11"], "final_answer": "-41/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 12x + 41", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 41}", "seed": "8701905654141899673", "semantic_fingerprint": "sha256:1b70db575a71951e49ed89289207e0646224989cd4e404d70670513e498ce4f5", "generator_version": "3.0"}
{"id": "v3_test_id_00004898", "prompt": "Solve for x: 2x = x - 3", "solution_steps": ["Subtract x from both sides: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x = x - 3", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3}", "seed": "3760709674311120649", "semantic_fingerprint": "sha256:4e1de1c1195df20fe0097cebd34d237d52f3ff23047bb7d0348ed494f2f81115", "generator_version": "3.0"}
{"id": "v3_test_id_00004899", "prompt": "Find x: 4x + 154 = -6(x - 49)", "solution_steps": ["Expand: 4x + 154 = -6x + 294", "Add 6x to both sides: 10x + 154 = 294", "Subtract 154 from both sides: 10x = 140", "Divide both sides by 10: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x + 154 = -6(x - 49)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -6, \"c\": 49, \"e\": 154, \"x\": 14}", "seed": "17154685675505288625", "semantic_fingerprint": "sha256:93ee35b8ac032b689541cde115ccbe1d2e9ad5008075004ce3e44000017028b2", "generator_version": "3.0"}
{"id": "v3_test_id_00004900", "prompt": "Evaluate: 2 * (-6) / (-7 - (-88)) - 495", "solution_steps": ["Multiply: 2 * (-6) = -12", "Subtract: -7 - (-88) = 81", "Divide: -12 / 81 = -4/27", "Subtract: -4/27 - 495 = -13369/27"], "final_answer": "-13369/27", "answer_type": "rational", "kind": "expression", "math_text": "2 * (-6) / (-7 - (-88)) - 495", "variable": null, "family": "expression_4op", "shape": "(- (/ (* n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -6, \"c\": -7, \"d\": -88, \"e\": 495}", "seed": "15317179555213977577", "semantic_fingerprint": "sha256:ebb3c222d1edcdd1296dc1cf045cd9b34b7431cee28cf54dc1300ba913186cec", "generator_version": "3.0"}
{"id": "v3_test_id_00004901", "prompt": "Compute: -2 * (-72) + (-845)", "solution_steps": ["Multiply: -2 * (-72) = 144", "Add: 144 + (-845) = -701"], "final_answer": "-701", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (-72) + (-845)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -72, \"c\": -845}", "seed": "8238496525078744274", "semantic_fingerprint": "sha256:7ae957e91f1953e4521d82def70bd605230a9fd8aea01e850fdf3c1f5f9fcb00", "generator_version": "3.0"}
{"id": "v3_test_id_00004902", "prompt": "Solve the equation 3(x + 39) - 219 = -12(x + 6) for x.", "solution_steps": ["Expand: 3x + 117 - 219 = -12(x + 6)", "Expand: 3x + 117 - 219 = -12x - 72", "Combine constants: 3x - 102 = -12x - 72", "Add 12x to both sides: 15x - 102 = -72", "Add 102 to both sides: 15x = 30", "Divide both sides by 15: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 39) - 219 = -12(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\": 39, \"c\": -12, \"d\": 6, \"f\": -219, \"x\": 2}", "seed": "16326812874724829428", "semantic_fingerprint": "sha256:c97515ea16612536a9c3aa2ee1951946267c509a501c76481e7f61e24a707c13", "generator_version": "3.0"}
{"id": "v3_test_id_00004903", "prompt": "What is (43 + (-53)) / (-29 / (-78)) / 41?", "solution_steps": ["Add: 43 + (-53) = -10", "Divide: -29 / (-78) = 29/78", "Divide: -10 / (29/78) = -780/29", "Divide: (-780/29) / 41 = -780/1189"], "final_answer": "-780/1189", "answer_type": "rational", "kind": "expression", "math_text": "(43 + (-53)) / (-29 / (-78)) / 41", "variable": null, "family": "expression_4op", "shape": "(/ (/ (+ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": -53, \"c\": -29, \"d\": -78, \"e\": 41}", "seed": "14464867855729710163", "semantic_fingerprint": "sha256:8766f4c6ed80931a12e5420e93a1752dbcfcb1d96ac0ae2120037de772493405", "generator_version": "3.0"}
{"id": "v3_test_id_00004904", "prompt": "What is 785 / (-6)?", "solution_steps": ["Divide: 785 / (-6) = -785/6"], "final_answer": "-785/6", "answer_type": "rational", "kind": "expression", "math_text": "785 / (-6)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 785, \"b\": -6}", "seed": "17218453997915171115", "semantic_fingerprint": "sha256:5b67210d3b8f13171d9046674eb0c0ebb972265bd47ca5f28f963981411f62b2", "generator_version": "3.0"}
{"id": "v3_test_id_00004905", "prompt": "Find x: 2(x - 82) + 140 = 5x", "solution_steps": ["Expand: 2x - 164 + 140 = 5x", "Combine constants: 2x - 24 = 5x", "Subtract 5x from both sides: -3x - 24 = 0", "Add 24 to both sides: -3x = 24", "Divide both sides by -3: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 82) + 140 = 5x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 82, \"c\": 5, \"e\": 140, \"x\": -8}", "seed": "12884910207717592147", "semantic_fingerprint": "sha256:603e595af6e4840b11cd73c1b6e988ced2849004223904af5fd7b8030dc41a9c", "generator_version": "3.0"}
{"id": "v3_test_id_00004906", "prompt": "Calculate: -882 + (-236) - 84 / (85 * 70)", "solution_steps": ["Add: -882 + (-236) = -1118", "Multiply: 85 * 70 = 5950", "Divide: 84 / 5950 = 6/425", "Subtract: -1118 - 6/425 = -475156/425"], "final_answer": "-475156/425", "answer_type": "rational", "kind": "expression", "math_text": "-882 + (-236) - 84 / (85 * 70)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (/ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -882, \"b\": -236, \"c\": 84, \"d\": 85, \"e\": 70}", "seed": "7452314723013450094", "semantic_fingerprint": "sha256:0b6f7448cc8682fe7acca661722ff22bde6cbca520d04ef77462270a2ec91580", "generator_version": "3.0"}
{"id": "v3_test_id_00004907", "prompt": "Calculate: 591 + (-28)", "solution_steps": ["Add: 591 + (-28) = 563"], "final_answer": "563", "answer_type": "integer", "kind": "expression", "math_text": "591 + (-28)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 591, \"b\": -28}", "seed": "17358991757210301543", "semantic_fingerprint": "sha256:e1746c177a654a4409cd00c6083fa10dd9a3b7defe3564751dad7360a4621147", "generator_version": "3.0"}
{"id": "v3_test_id_00004908", "prompt": "Calculate: 50 - (-84) / (-8)", "solution_steps": ["Divide: -84 / (-8) = 21/2", "Subtract: 50 - 21/2 = 79/2"], "final_answer": "79/2", "answer_type": "rational", "kind": "expression", "math_text": "50 - (-84) / (-8)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": -84, \"c\": -8}", "seed": "13850810463703858432", "semantic_fingerprint": "sha256:506f3467c3bafb3a23852c173d7e321638532828c048852d09bb89cebc47d678", "generator_version": "3.0"}
{"id": "v3_test_id_00004909", "prompt": "What value of x satisfies -2(x + 299) + 327 = 11x + 18?", "solution_steps": ["Expand: -2x - 598 + 327 = 11x + 18", "Combine constants: -2x - 271 = 11x + 18", "Subtract 11x from both sides: -13x - 271 = 18", "Add 271 to both sides: -13x = 289", "Divide both sides by -13: x = -289/13"], "final_answer": "-289/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x + 299) + 327 = 11x + 18", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 299, \"c\": 327, \"d\": 11, \"e\": 18}", "seed": "14528062037579238663", "semantic_fingerprint": "sha256:9002f63c823294a500ffb2cb04a0059407a0e4f090827c39326bb3c23a6245bd", "generator_version": "3.0"}
{"id": "v3_test_id_00004910", "prompt": "Evaluate: -254 - (94 / 91 - 64)", "solution_steps": ["Divide: 94 / 91 = 94/91", "Subtract: 94/91 - 64 = -5730/91", "Subtract: -254 - (-5730/91) = -17384/91"], "final_answer": "-17384/91", "answer_type": "rational", "kind": "expression", "math_text": "-254 - (94 / 91 - 64)", "variable": null, "family": "expression_3op", "shape": "(- n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -254, \"b\": 94, \"c\": 91, \"d\": 64}", "seed": "2067009013089137254", "semantic_fingerprint": "sha256:a0ef5057e0f3dbb26ec981bc6add0afffd726d6dc914f8fad27cfa3e44aaa471", "generator_version": "3.0"}
{"id": "v3_test_id_00004911", "prompt": "What is -174 / 1?", "solution_steps": ["Divide: -174 / 1 = -174"], "final_answer": "-174", "answer_type": "integer", "kind": "expression", "math_text": "-174 / 1", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -174, \"b\": 1}", "seed": "4172409386524737989", "semantic_fingerprint": "sha256:8646cb5905a80b7a6eec457b7a80ae3f0b09863b1c20289b950628a2b4c98cb4", "generator_version": "3.0"}
{"id": "v3_test_id_00004912", "prompt": "Calculate: 8 * (-33)", "solution_steps": ["Multiply: 8 * (-33) = -264"], "final_answer": "-264", "answer_type": "integer", "kind": "expression", "math_text": "8 * (-33)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -33}", "seed": "8910940737048418782", "semantic_fingerprint": "sha256:7e15d31f02a8faf9211726fcbdc6da484de778a762de1dd5cb96f12ef66d2090", "generator_version": "3.0"}
{"id": "v3_test_id_00004913", "prompt": "Compute: 29 / (5 - 59 / (-9))", "solution_steps": ["Divide: 59 / (-9) = -59/9", "Subtract: 5 - (-59/9) = 104/9", "Divide: 29 / (104/9) = 261/104"], "final_answer": "261/104", "answer_type": "rational", "kind": "expression", "math_text": "29 / (5 - 59 / (-9))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 5, \"c\": 59, \"d\": -9}", "seed": "7972574618605462179", "semantic_fingerprint": "sha256:ad09f24b62925c41f16f90c60aad7e879ff9b90c37311dd809fe176345a5e9ae", "generator_version": "3.0"}
{"id": "v3_test_id_00004914", "prompt": "Solve the equation 7(x - 10) + 38 = x - 2 for x.", "solution_steps": ["Expand: 7x - 70 + 38 = x - 2", "Combine constants: 7x - 32 = x - 2", "Subtract x from both sides: 6x - 32 = -2", "Add 32 to both sides: 6x = 30", "Divide both sides by 6: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 10) + 38 = x - 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 10, \"c\": 38, \"e\": -2, \"x\": 5}", "seed": "8717910662668113420", "semantic_fingerprint": "sha256:10575ffd634b611db8f928055e72b45fb77f2d1c4dee470c105967367dbf41c2", "generator_version": "3.0"}
{"id": "v3_test_id_00004915", "prompt": "What value of x satisfies 10(x + 506) + 4 = 8(x - 20) + 46?", "solution_steps": ["Expand: 10x + 5060 + 4 = 8(x - 20) + 46", "Expand: 10x + 5060 + 4 = 8x - 160 + 46", "Combine constants: 10x + 5064 = 8x - 160 + 46", "Combine constants: 10x + 5064 = 8x - 114", "Subtract 8x from both sides: 2x + 5064 = -114", "Subtract 5064 from both sides: 2x = -5178", "Divide both sides by 2: x = -2589"], "final_answer": "-2589", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 506) + 4 = 8(x - 20) + 46", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 506, \"c\": 4, \"d\": 8, \"e\": 20, \"f\": 46}", "seed": "15366435236107696026", "semantic_fingerprint": "sha256:c5b026daea86afd9f01ed162d9efea3092af9074b42a8718405773b8e04a3ee5", "generator_version": "3.0"}
{"id": "v3_test_id_00004916", "prompt": "Calculate: -8 * (-86 * 9 - (-469 + (-96)))", "solution_steps": ["Multiply: -86 * 9 = -774", "Add: -469 + (-96) = -565", "Subtract: -774 - (-565) = -209", "Multiply: -8 * (-209) = 1672"], "final_answer": "1672", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (-86 * 9 - (-469 + (-96)))", "variable": null, "family": "expression_4op", "shape": "(* n (- (* n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -86, \"c\": 9, \"d\": -469, \"e\": -96}", "seed": "507253952992044002", "semantic_fingerprint": "sha256:bc4db8872910ecf11ab585a41423e8ea0511034721409e9ab1abbb06ef274d93", "generator_version": "3.0"}
{"id": "v3_test_id_00004917", "prompt": "Compute: 85 / (-7) - 58 + (-99 * (-399) - 2)", "solution_steps": ["Divide: 85 / (-7) = -85/7", "Subtract: -85/7 - 58 = -491/7", "Multiply: -99 * (-399) = 39501", "Subtract: 39501 - 2 = 39499", "Add: -491/7 + 39499 = 276002/7"], "final_answer": "276002/7", "answer_type": "rational", "kind": "expression", "math_text": "85 / (-7) - 58 + (-99 * (-399) - 2)", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ n n) n) (- (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": -7, \"c\": 58, \"d\": -99, \"e\": -399, \"f\": 2}", "seed": "15721745118093991467", "semantic_fingerprint": "sha256:8248b09c04e04268f24ceba873cb8c5fb71f7f540656cd9cba71a352964bd7a2", "generator_version": "3.0"}
{"id": "v3_test_id_00004918", "prompt": "What value of x satisfies -9(x + 7) - 1 = 10(x + 7) + 227?", "solution_steps": ["Expand: -9x - 63 - 1 = 10(x + 7) + 227", "Expand: -9x - 63 - 1 = 10x + 70 + 227", "Combine constants: -9x - 64 = 10x + 70 + 227", "Combine constants: -9x - 64 = 10x + 297", "Subtract 10x from both sides: -19x - 64 = 297", "Add 64 to both sides: -19x = 361", "Divide both sides by -19: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 7) - 1 = 10(x + 7) + 227", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 7, \"c\": 1, \"d\": 10, \"e\": 7, \"g\": 227, \"x\": -19}", "seed": "12092444173123392806", "semantic_fingerprint": "sha256:3b5255f8676882c26f6606299e3ab9753ae46a3aec77f34e66caf080346d4870", "generator_version": "3.0"}
{"id": "v3_test_id_00004919", "prompt": "Compute: 559 - (-4) - 48 - (-10)", "solution_steps": ["Subtract: 559 - (-4) = 563", "Subtract: 563 - 48 = 515", "Subtract: 515 - (-10) = 525"], "final_answer": "525", "answer_type": "integer", "kind": "expression", "math_text": "559 - (-4) - 48 - (-10)", "variable": null, "family": "expression_3op", "shape": "(- (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 559, \"b\": -4, \"c\": 48, \"d\": -10}", "seed": "13996105599616034538", "semantic_fingerprint": "sha256:7f4d80d4ed5b6f55606f7845f2aafaf7daace403cfadf655b6b0bd568a92dc5d", "generator_version": "3.0"}
{"id": "v3_test_id_00004920", "prompt": "Calculate: 50 + 125 + (-97) * (-15 - (-25))", "solution_steps": ["Add: 50 + 125 = 175", "Subtract: -15 - (-25) = 10", "Multiply: -97 * 10 = -970", "Add: 175 + (-970) = -795"], "final_answer": "-795", "answer_type": "integer", "kind": "expression", "math_text": "50 + 125 + (-97) * (-15 - (-25))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": 125, \"c\": -97, \"d\": -15, \"e\": -25}", "seed": "10458162733313465124", "semantic_fingerprint": "sha256:2c32c331dfefe7f11f4eae2b32a1478e9334a102a87cb34e622126de6442e380", "generator_version": "3.0"}
{"id": "v3_test_id_00004921", "prompt": "Compute: -9 / (-3)", "solution_steps": ["Divide: -9 / (-3) = 3"], "final_answer": "3", "answer_type": "integer", "kind": "expression", "math_text": "-9 / (-3)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -3}", "seed": "4008084879111944888", "semantic_fingerprint": "sha256:b62cd212d871bf55462a9cace1b3f2d1633b9f468daa43052bb6ad2cee51d8c2", "generator_version": "3.0"}
{"id": "v3_test_id_00004922", "prompt": "Compute: -61 * (-736)", "solution_steps": ["Multiply: -61 * (-736) = 44896"], "final_answer": "44896", "answer_type": "integer", "kind": "expression", "math_text": "-61 * (-736)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": -736}", "seed": "10274036127493133848", "semantic_fingerprint": "sha256:22b3e9132bb9ef8d48255d34e354c75fc569613d5d3513e247cd3627d0c53040", "generator_version": "3.0"}
{"id": "v3_test_id_00004923", "prompt": "Solve for x: 3(x - 161) = x - 8", "solution_steps": ["Expand: 3x - 483 = x - 8", "Subtract x from both sides: 2x - 483 = -8", "Add 483 to both sides: 2x = 475", "Divide both sides by 2: x = 475/2"], "final_answer": "475/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 161) = x - 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 161, \"c\": 8}", "seed": "12369506337485410712", "semantic_fingerprint": "sha256:9cbe3f597bce53998f758987ad45b6e7141526b174c723853779bc8100586366", "generator_version": "3.0"}
{"id": "v3_test_id_00004924", "prompt": "Evaluate: (67 + (56 + (-4))) / (-517 * (-5))", "solution_steps": ["Add: 56 + (-4) = 52", "Add: 67 + 52 = 119", "Multiply: -517 * (-5) = 2585", "Divide: 119 / 2585 = 119/2585"], "final_answer": "119/2585", "answer_type": "rational", "kind": "expression", "math_text": "(67 + (56 + (-4))) / (-517 * (-5))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": 56, \"c\": -4, \"d\": -517, \"e\": -5}", "seed": "14830814792500924560", "semantic_fingerprint": "sha256:68226995ad5a09cd56e63d9f59147833c1cba870cfd22c50067bfa88fdd65523", "generator_version": "3.0"}
{"id": "v3_test_id_00004925", "prompt": "Calculate: 94 + (-865) - (-7) / (-3)", "solution_steps": ["Add: 94 + (-865) = -771", "Divide: -7 / (-3) = 7/3", "Subtract: -771 - 7/3 = -2320/3"], "final_answer": "-2320/3", "answer_type": "rational", "kind": "expression", "math_text": "94 + (-865) - (-7) / (-3)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": -865, \"c\": -7, \"d\": -3}", "seed": "18074189150087829760", "semantic_fingerprint": "sha256:cdb67bff3b14339588ea4d7ce35927c14e73d1943ac28390b3119f8dc421cd7f", "generator_version": "3.0"}
{"id": "v3_test_id_00004926", "prompt": "Evaluate: -19 - 63 + (-28) * (-98)", "solution_steps": ["Subtract: -19 - 63 = -82", "Multiply: -28 * (-98) = 2744", "Add: -82 + 2744 = 2662"], "final_answer": "2662", "answer_type": "integer", "kind": "expression", "math_text": "-19 - 63 + (-28) * (-98)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": 63, \"c\": -28, \"d\": -98}", "seed": "11139966013366586582", "semantic_fingerprint": "sha256:60f88b4e35a6806fb8494ddcc63acac65c59a8035751984e682318e12303ab8a", "generator_version": "3.0"}
{"id": "v3_test_id_00004927", "prompt": "What is 65 * 7 * 0?", "solution_steps": ["Multiply: 65 * 7 = 455", "Multiply: 455 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "65 * 7 * 0", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": 7, \"c\": 0}", "seed": "17012541208627723714", "semantic_fingerprint": "sha256:1e9992a13f2171e51fb10d31569490b0a95fc66b79365976235540e53d5ad642", "generator_version": "3.0"}
{"id": "v3_test_id_00004928", "prompt": "Calculate: -559 / (366 * (-1))", "solution_steps": ["Multiply: 366 * (-1) = -366", "Divide: -559 / (-366) = 559/366"], "final_answer": "559/366", "answer_type": "rational", "kind": "expression", "math_text": "-559 / (366 * (-1))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -559, \"b\": 366, \"c\": -1}", "seed": "10280931526813919404", "semantic_fingerprint": "sha256:c175c979919648e99e153d2007fb57aa402313745a6f8984b967f43e9598a365", "generator_version": "3.0"}
{"id": "v3_test_id_00004929", "prompt": "What is 732 / 64 * 89?", "solution_steps": ["Divide: 732 / 64 = 183/16", "Multiply: (183/16) * 89 = 16287/16"], "final_answer": "16287/16", "answer_type": "rational", "kind": "expression", "math_text": "732 / 64 * 89", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 732, \"b\": 64, \"c\": 89}", "seed": "14271260654947531830", "semantic_fingerprint": "sha256:bade5371053b9d1814f362387ba9fee682e4fe615d3a0e6deba21b37a33ad223", "generator_version": "3.0"}
{"id": "v3_test_id_00004930", "prompt": "What is -70 / (-21) - (-5 + (-33))?", "solution_steps": ["Divide: -70 / (-21) = 10/3", "Add: -5 + (-33) = -38", "Subtract: 10/3 - (-38) = 124/3"], "final_answer": "124/3", "answer_type": "rational", "kind": "expression", "math_text": "-70 / (-21) - (-5 + (-33))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": -21, \"c\": -5, \"d\": -33}", "seed": "9736442909437051220", "semantic_fingerprint": "sha256:f87f87a48e2fe3c4f86a15b9084edded89cc44cc25770d06b8a9403f619fb8f9", "generator_version": "3.0"}
{"id": "v3_test_id_00004931", "prompt": "Evaluate: -50 - (-5 - (866 + 18))", "solution_steps": ["Add: 866 + 18 = 884", "Subtract: -5 - 884 = -889", "Subtract: -50 - (-889) = 839"], "final_answer": "839", "answer_type": "integer", "kind": "expression", "math_text": "-50 - (-5 - (866 + 18))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": -5, \"c\": 866, \"d\": 18}", "seed": "16794624137707280585", "semantic_fingerprint": "sha256:eca8cb1d858702575b470faf427de489e5c555a974247d81da7fb15dfff10a19", "generator_version": "3.0"}
{"id": "v3_test_id_00004932", "prompt": "Calculate: 9 + (-794) - (-12)", "solution_steps": ["Add: 9 + (-794) = -785", "Subtract: -785 - (-12) = -773"], "final_answer": "-773", "answer_type": "integer", "kind": "expression", "math_text": "9 + (-794) - (-12)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -794, \"c\": -12}", "seed": "2876262262679661914", "semantic_fingerprint": "sha256:108c0242ef86b0816f0d1e5a6b1f65cf5b7dc863cf1697a6eba47f55c474457d", "generator_version": "3.0"}
{"id": "v3_test_id_00004933", "prompt": "What value of x satisfies 6(x + 4) - 503 = -7(x - 3) - 578?", "solution_steps": ["Expand: 6x + 24 - 503 = -7(x - 3) - 578", "Expand: 6x + 24 - 503 = -7x + 21 - 578", "Combine constants: 6x - 479 = -7x + 21 - 578", "Combine constants: 6x - 479 = -7x - 557", "Add 7x to both sides: 13x - 479 = -557", "Add 479 to both sides: 13x = -78", "Divide both sides by 13: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 4) - 503 = -7(x - 3) - 578", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 4, \"c\": 503, \"d\": -7, \"e\": 3, \"g\": -578, \"x\": -6}", "seed": "6008697244301683767", "semantic_fingerprint": "sha256:cb8f4eac715b47fe368a2a86684a6f6596a4bd46dd3e055c343927a1ae594425", "generator_version": "3.0"}
{"id": "v3_test_id_00004934", "prompt": "Compute: 450 / (-555 * (-21))", "solution_steps": ["Multiply: -555 * (-21) = 11655", "Divide: 450 / 11655 = 10/259"], "final_answer": "10/259", "answer_type": "rational", "kind": "expression", "math_text": "450 / (-555 * (-21))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 450, \"b\": -555, \"c\": -21}", "seed": "7320324801532679659", "semantic_fingerprint": "sha256:19d4011d496430eed5daf9332adeb86ad01d9899066ca5e5e2347b039ed0630c", "generator_version": "3.0"}
{"id": "v3_test_id_00004935", "prompt": "Evaluate: 895 * (-63)", "solution_steps": ["Multiply: 895 * (-63) = -56385"], "final_answer": "-56385", "answer_type": "integer", "kind": "expression", "math_text": "895 * (-63)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 895, \"b\": -63}", "seed": "14396933712201888774", "semantic_fingerprint": "sha256:4a57aaf2ddb79bd3a7b4af24e94640a1f9b962e37bcb562f5c162651942a7baf", "generator_version": "3.0"}
{"id": "v3_test_id_00004936", "prompt": "What value of x satisfies x + 471 = 5(x + 83)?", "solution_steps": ["Expand: x + 471 = 5x + 415", "Subtract 5x from both sides: -4x + 471 = 415", "Subtract 471 from both sides: -4x = -56", "Divide both sides by -4: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 471 = 5(x + 83)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 83, \"d\": 471, \"x\": 14}", "seed": "9484582525632409679", "semantic_fingerprint": "sha256:4624d132e47e64357b457512fda8c6b6cac49442bf292dd09e9c07c825b06f31", "generator_version": "3.0"}
{"id": "v3_test_id_00004937", "prompt": "Calculate: 461 + (-5)", "solution_steps": ["Add: 461 + (-5) = 456"], "final_answer": "456", "answer_type": "integer", "kind": "expression", "math_text": "461 + (-5)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 461, \"b\": -5}", "seed": "10715317677096964408", "semantic_fingerprint": "sha256:0f19e91186563d808867eb6c9c227fcb6fe4daf1f6519e4b2f96e4e697cfbaf2", "generator_version": "3.0"}
{"id": "v3_test_id_00004938", "prompt": "Evaluate: 39 + (-98) + 85 * (-21)", "solution_steps": ["Add: 39 + (-98) = -59", "Multiply: 85 * (-21) = -1785", "Add: -59 + (-1785) = -1844"], "final_answer": "-1844", "answer_type": "integer", "kind": "expression", "math_text": "39 + (-98) + 85 * (-21)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": -98, \"c\": 85, \"d\": -21}", "seed": "14256303412708472793", "semantic_fingerprint": "sha256:3c171052a4c1c063cfd9465d3918e8b0dae269a7994c1fa129f0691bb8f280e2", "generator_version": "3.0"}
{"id": "v3_test_id_00004939", "prompt": "What is -533 * (-87) / 774 * 17?", "solution_steps": ["Multiply: -533 * (-87) = 46371", "Divide: 46371 / 774 = 15457/258", "Multiply: (15457/258) * 17 = 262769/258"], "final_answer": "262769/258", "answer_type": "rational", "kind": "expression", "math_text": "-533 * (-87) / 774 * 17", "variable": null, "family": "expression_3op", "shape": "(* (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -533, \"b\": -87, \"c\": 774, \"d\": 17}", "seed": "15270067329752414470", "semantic_fingerprint": "sha256:655b2627fb5f14bbef595c21040d3f04669391125e97dc1a613d58a4f05dacc4", "generator_version": "3.0"}
{"id": "v3_test_id_00004940", "prompt": "What is 62 + 95?", "solution_steps": ["Add: 62 + 95 = 157"], "final_answer": "157", "answer_type": "integer", "kind": "expression", "math_text": "62 + 95", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": 95}", "seed": "7614121105658436177", "semantic_fingerprint": "sha256:81a8173a073a2c0a3c9023fc7bb2012d9e830c8b334ec3e2589eafeb2c8fc4b7", "generator_version": "3.0"}
{"id": "v3_test_id_00004941", "prompt": "What is -28 * (43 * (78 + (-31)) - (-49))?", "solution_steps": ["Add: 78 + (-31) = 47", "Multiply: 43 * 47 = 2021", "Subtract: 2021 - (-49) = 2070", "Multiply: -28 * 2070 = -57960"], "final_answer": "-57960", "answer_type": "integer", "kind": "expression", "math_text": "-28 * (43 * (78 + (-31)) - (-49))", "variable": null, "family": "expression_4op", "shape": "(* n (- (* n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": 43, \"c\": 78, \"d\": -31, \"e\": -49}", "seed": "1484587469388656332", "semantic_fingerprint": "sha256:37519c4f15d69bf8f7c91598acae9afaeaa608bb6093cc6f8ab05c0f64a5cd8f", "generator_version": "3.0"}
{"id": "v3_test_id_00004942", "prompt": "Calculate: -5 * (-243) * (-87 + 58)", "solution_steps": ["Multiply: -5 * (-243) = 1215", "Add: -87 + 58 = -29", "Multiply: 1215 * (-29) = -35235"], "final_answer": "-35235", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (-243) * (-87 + 58)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -243, \"c\": -87, \"d\": 58}", "seed": "936084299711159868", "semantic_fingerprint": "sha256:d0ca385e4bdff3b778e71671ddb759b4f2891f4204b4db0e60750782e55fd6bb", "generator_version": "3.0"}
{"id": "v3_test_id_00004943", "prompt": "Calculate: (80 - (-35)) / (-5 / 486)", "solution_steps": ["Subtract: 80 - (-35) = 115", "Divide: -5 / 486 = -5/486", "Divide: 115 / (-5/486) = -11178"], "final_answer": "-11178", "answer_type": "integer", "kind": "expression", "math_text": "(80 - (-35)) / (-5 / 486)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": -35, \"c\": -5, \"d\": 486}", "seed": "7658861791785859966", "semantic_fingerprint": "sha256:faa503e53d4badde51b6db6e2f91b500fe0d72e7eafa52024d3c690e6e35041f", "generator_version": "3.0"}
{"id": "v3_test_id_00004944", "prompt": "Find x: 7(x - 4) + 92 = 11x", "solution_steps": ["Expand: 7x - 28 + 92 = 11x", "Combine constants: 7x + 64 = 11x", "Subtract 11x from both sides: -4x + 64 = 0", "Subtract 64 from both sides: -4x = -64", "Divide both sides by -4: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 4) + 92 = 11x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 11, \"e\": 92, \"x\": 16}", "seed": "9127365575679651810", "semantic_fingerprint": "sha256:80e597bc1d4b7dc8f9fbc40b66bac00bf5a8ee81eff3bcdd21e01ed7d216dfa2", "generator_version": "3.0"}
{"id": "v3_test_id_00004945", "prompt": "Calculate: -94 * 322 / (-2)", "solution_steps": ["Multiply: -94 * 322 = -30268", "Divide: -30268 / (-2) = 15134"], "final_answer": "15134", "answer_type": "integer", "kind": "expression", "math_text": "-94 * 322 / (-2)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": 322, \"c\": -2}", "seed": "13848814432739674105", "semantic_fingerprint": "sha256:1823157fc8a58d3f9bb9d04292bb59fdb8ba70eac8630e197b3c13cbcc0bf179", "generator_version": "3.0"}
{"id": "v3_test_id_00004946", "prompt": "Find x: x - 27 = 10x + 7", "solution_steps": ["Subtract 10x from both sides: -9x - 27 = 7", "Add 27 to both sides: -9x = 34", "Divide both sides by -9: x = -34/9"], "final_answer": "-34/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 27 = 10x + 7", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": 10, \"c\": 7}", "seed": "14129014497702722678", "semantic_fingerprint": "sha256:8d62c25b7c4e2e21053f5781886da31b77027616cb94025116935cac7236e2d6", "generator_version": "3.0"}
{"id": "v3_test_id_00004947", "prompt": "Evaluate: 848 - (-9)", "solution_steps": ["Subtract: 848 - (-9) = 857"], "final_answer": "857", "answer_type": "integer", "kind": "expression", "math_text": "848 - (-9)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 848, \"b\": -9}", "seed": "12141525750698876511", "semantic_fingerprint": "sha256:bc979e6473514cb2613d90634be99ed14fedb0be05bb781eb734aeeb3500d489", "generator_version": "3.0"}
{"id": "v3_test_id_00004948", "prompt": "Find x: 4x = -9(x + 464)", "solution_steps": ["Expand: 4x = -9x - 4176", "Add 9x to both sides: 13x = -4176", "Divide both sides by 13: x = -4176/13"], "final_answer": "-4176/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x = -9(x + 464)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -9, \"c\": 464}", "seed": "12090299160132404887", "semantic_fingerprint": "sha256:815e47590ed296c5217e1227fab772668d45a66810f822619ab90283147bf18e", "generator_version": "3.0"}
{"id": "v3_test_id_00004949", "prompt": "Compute: -566 / (-179 / 364) / (-1)", "solution_steps": ["Divide: -179 / 364 = -179/364", "Divide: -566 / (-179/364) = 206024/179", "Divide: (206024/179) / (-1) = -206024/179"], "final_answer": "-206024/179", "answer_type": "rational", "kind": "expression", "math_text": "-566 / (-179 / 364) / (-1)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -566, \"b\": -179, \"c\": 364, \"d\": -1}", "seed": "16856631121085911521", "semantic_fingerprint": "sha256:48793d399116a697a91e6674950113cabb3f02ffdfb827c98fa7885e0b83afd4", "generator_version": "3.0"}
{"id": "v3_test_id_00004950", "prompt": "Solve for x: -10(x - 99) = 9x + 781", "solution_steps": ["Expand: -10x + 990 = 9x + 781", "Subtract 9x from both sides: -19x + 990 = 781", "Subtract 990 from both sides: -19x = -209", "Divide both sides by -19: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 99) = 9x + 781", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 99, \"c\": 9, \"e\": 781, \"x\": 11}", "seed": "9157851704959335470", "semantic_fingerprint": "sha256:a31a8b69aaacb96568b5949d188fe1cef81edc9feafaf124ad964555be556600", "generator_version": "3.0"}
{"id": "v3_test_id_00004951", "prompt": "Compute: 63 - 287 / (-3)", "solution_steps": ["Divide: 287 / (-3) = -287/3", "Subtract: 63 - (-287/3) = 476/3"], "final_answer": "476/3", "answer_type": "rational", "kind": "expression", "math_text": "63 - 287 / (-3)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": 287, \"c\": -3}", "seed": "15175393663914592721", "semantic_fingerprint": "sha256:42128c9b333485e2761344e74b10991ee09d9f9f8fba8446c8f2cfc808c7ed4c", "generator_version": "3.0"}
{"id": "v3_test_id_00004952", "prompt": "Calculate: -4 - 672 * 182", "solution_steps": ["Multiply: 672 * 182 = 122304", "Subtract: -4 - 122304 = -122308"], "final_answer": "-122308", "answer_type": "integer", "kind": "expression", "math_text": "-4 - 672 * 182", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 672, \"c\": 182}", "seed": "17942197490478830487", "semantic_fingerprint": "sha256:a956e3d496c4e4d5d3ba812a94996e706dc0165c8400a35ec833cdf8d77b1948", "generator_version": "3.0"}
{"id": "v3_test_id_00004953", "prompt": "Evaluate: -29 * (-67 / 14) * (-28)", "solution_steps": ["Divide: -67 / 14 = -67/14", "Multiply: -29 * (-67/14) = 1943/14", "Multiply: (1943/14) * (-28) = -3886"], "final_answer": "-3886", "answer_type": "integer", "kind": "expression", "math_text": "-29 * (-67 / 14) * (-28)", "variable": null, "family": "expression_3op", "shape": "(* (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": -67, \"c\": 14, \"d\": -28}", "seed": "1740444180865370509", "semantic_fingerprint": "sha256:ee9a30d6cd5ebfe4858c05091506e7445e2dae8376eecfe42eaf1bdc225e7db0", "generator_version": "3.0"}
{"id": "v3_test_id_00004954", "prompt": "Calculate: -46 * (-8 + (-2 - (-130))) - (-8) * 64", "solution_steps": ["Subtract: -2 - (-130) = 128", "Add: -8 + 128 = 120", "Multiply: -46 * 120 = -5520", "Multiply: -8 * 64 = -512", "Subtract: -5520 - (-512) = -5008"], "final_answer": "-5008", "answer_type": "integer", "kind": "expression", "math_text": "-46 * (-8 + (-2 - (-130))) - (-8) * 64", "variable": null, "family": "expression_5op", "shape": "(- (* n (+ n (- n n))) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": -8, \"c\": -2, \"d\": -130, \"e\": -8, \"f\": 64}", "seed": "9843690929140797029", "semantic_fingerprint": "sha256:efd8a32afb834bb1e867ebb09959362f12c282b7e696337247419a299e2f6219", "generator_version": "3.0"}
{"id": "v3_test_id_00004955", "prompt": "What value of x satisfies x = 6x - 100?", "solution_steps": ["Subtract 6x from both sides: -5x = -100", "Divide both sides by -5: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 6x - 100", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"c\": -100, \"x\": 20}", "seed": "17606265523192275006", "semantic_fingerprint": "sha256:bb67b9ed7e6bbb5f19822fcecd8e92e5b6ed1578297e200d4cae17d0345c5b25", "generator_version": "3.0"}
{"id": "v3_test_id_00004956", "prompt": "Find x: -7(x + 24) = 12(x - 57)", "solution_steps": ["Expand: -7x - 168 = 12(x - 57)", "Expand: -7x - 168 = 12x - 684", "Subtract 12x from both sides: -19x - 168 = -684", "Add 168 to both sides: -19x = -516", "Divide both sides by -19: x = 516/19"], "final_answer": "516/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x + 24) = 12(x - 57)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 24, \"c\": 12, \"d\": 57}", "seed": "16834774624547209006", "semantic_fingerprint": "sha256:4f38e72e14e3906383c02bacba44688f6408cf6a67919db2ecb0bab22a4c0fab", "generator_version": "3.0"}
{"id": "v3_test_id_00004957", "prompt": "Find x: 10x + 594 = 9(x + 6) + 551", "solution_steps": ["Expand: 10x + 594 = 9x + 54 + 551", "Combine constants: 10x + 594 = 9x + 605", "Subtract 9x from both sides: x + 594 = 605", "Subtract 594 from both sides: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x + 594 = 9(x + 6) + 551", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 594, \"c\": 9, \"d\": 6, \"f\": 551, \"x\": 11}", "seed": "2161534799069688178", "semantic_fingerprint": "sha256:855cffe9e94c83165e906601304b02a049b3631254301883c2ae1d576a113ee7", "generator_version": "3.0"}
{"id": "v3_test_id_00004958", "prompt": "Evaluate: (-19 + (-47)) / (-16) / (-23)", "solution_steps": ["Add: -19 + (-47) = -66", "Divide: -66 / (-16) = 33/8", "Divide: (33/8) / (-23) = -33/184"], "final_answer": "-33/184", "answer_type": "rational", "kind": "expression", "math_text": "(-19 + (-47)) / (-16) / (-23)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": -47, \"c\": -16, \"d\": -23}", "seed": "6908835247098845372", "semantic_fingerprint": "sha256:16d178764352e676d9c73251267e2f160a14babda6871ad62a767b10b3dd050a", "generator_version": "3.0"}
{"id": "v3_test_id_00004959", "prompt": "What is 34 / (-126)?", "solution_steps": ["Divide: 34 / (-126) = -17/63"], "final_answer": "-17/63", "answer_type": "rational", "kind": "expression", "math_text": "34 / (-126)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": -126}", "seed": "1968248746348950500", "semantic_fingerprint": "sha256:a1d747767bbb30ea910dccbd1f5930fb20b14256b838f2b84b47d76c25b0a081", "generator_version": "3.0"}
{"id": "v3_test_id_00004960", "prompt": "Evaluate: 554 / (-3 - (-992 - (-11))) + 19", "solution_steps": ["Subtract: -992 - (-11) = -981", "Subtract: -3 - (-981) = 978", "Divide: 554 / 978 = 277/489", "Add: 277/489 + 19 = 9568/489"], "final_answer": "9568/489", "answer_type": "rational", "kind": "expression", "math_text": "554 / (-3 - (-992 - (-11))) + 19", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (- n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 554, \"b\": -3, \"c\": -992, \"d\": -11, \"e\": 19}", "seed": "17953062367014788272", "semantic_fingerprint": "sha256:b65c5a5ffb492e24e10d411d85065f94992d8f0cbf22ceee4eb965fee1192f20", "generator_version": "3.0"}
{"id": "v3_test_id_00004961", "prompt": "Solve for x: 8x + 226 = -6(x - 5)", "solution_steps": ["Expand: 8x + 226 = -6x + 30", "Add 6x to both sides: 14x + 226 = 30", "Subtract 226 from both sides: 14x = -196", "Divide both sides by 14: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x + 226 = -6(x - 5)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -6, \"c\": 5, \"e\": 226, \"x\": -14}", "seed": "17451929447847564334", "semantic_fingerprint": "sha256:f6edd167ef45ac11c805de6f917fa69f9d6c1ea357407322e928bb83aaf60e12", "generator_version": "3.0"}
{"id": "v3_test_id_00004962", "prompt": "Find x: 4(x - 30) + 584 = 9(x - 59) + 930", "solution_steps": ["Expand: 4x - 120 + 584 = 9(x - 59) + 930", "Expand: 4x - 120 + 584 = 9x - 531 + 930", "Combine constants: 4x + 464 = 9x - 531 + 930", "Combine constants: 4x + 464 = 9x + 399", "Subtract 9x from both sides: -5x + 464 = 399", "Subtract 464 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) + 584 = 9(x - 59) + 930", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 30, \"c\": 584, \"d\": 9, \"e\": 59, \"g\": 930, \"x\": 13}", "seed": "14461817310301636172", "semantic_fingerprint": "sha256:38dcd9cda498cc02e826ad4f81a05add62b6ad8dbe750da76560d3c2740ee807", "generator_version": "3.0"}
{"id": "v3_test_id_00004963", "prompt": "Solve the equation 4(x + 6) - 4 = 9x for x.", "solution_steps": ["Expand: 4x + 24 - 4 = 9x", "Combine constants: 4x + 20 = 9x", "Subtract 9x from both sides: -5x + 20 = 0", "Subtract 20 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 + 6) - 4 = 9x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 6, \"c\": 9, \"e\": -4, \"x\": 4}", "seed": "15265995241771479903", "semantic_fingerprint": "sha256:e2b90f0e8eb4f980100f7e431050651973bd2c7419b211cc0d88a2f817b35870", "generator_version": "3.0"}
{"id": "v3_test_id_00004964", "prompt": "Evaluate: -3 * (-8)", "solution_steps": ["Multiply: -3 * (-8) = 24"], "final_answer": "24", "answer_type": "integer", "kind": "expression", "math_text": "-3 * (-8)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -8}", "seed": "17583000706414041964", "semantic_fingerprint": "sha256:2472bf38db3bb81b712da08fd062993b6a6f1b1262ee2818ff4bedf21ce37f2a", "generator_version": "3.0"}
{"id": "v3_test_id_00004965", "prompt": "Solve the equation -3(x - 98) + 9 = 4x - 752 for x.", "solution_steps": ["Expand: -3x + 294 + 9 = 4x - 752", "Combine constants: -3x + 303 = 4x - 752", "Subtract 4x from both sides: -7x + 303 = -752", "Subtract 303 from both sides: -7x = -1055", "Divide both sides by -7: x = 1055/7"], "final_answer": "1055/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 98) + 9 = 4x - 752", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 98, \"c\": 9, \"d\": 4, \"e\": 752}", "seed": "6945244078145702950", "semantic_fingerprint": "sha256:e7ed14c226925f38b495527774f194d3bec5167c88e06dad8e8916ce27ac48ba", "generator_version": "3.0"}
{"id": "v3_test_id_00004966", "prompt": "What is -339 + (-2 - 9) + (-90) / 8 * (-44)?", "solution_steps": ["Subtract: -2 - 9 = -11", "Add: -339 + (-11) = -350", "Divide: -90 / 8 = -45/4", "Multiply: (-45/4) * (-44) = 495", "Add: -350 + 495 = 145"], "final_answer": "145", "answer_type": "integer", "kind": "expression", "math_text": "-339 + (-2 - 9) + (-90) / 8 * (-44)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (- n n)) (* (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -339, \"b\": -2, \"c\": 9, \"d\": -90, \"e\": 8, \"f\": -44}", "seed": "15906867019146615725", "semantic_fingerprint": "sha256:87e41d9b6632ddd1cf0e21f742eeab147a55146229a6e73f6fb34465e076bfb4", "generator_version": "3.0"}
{"id": "v3_test_id_00004967", "prompt": "Find x: 4(x - 7) + 89 = 5(x + 5) + 499", "solution_steps": ["Expand: 4x - 28 + 89 = 5(x + 5) + 499", "Expand: 4x - 28 + 89 = 5x + 25 + 499", "Combine constants: 4x + 61 = 5x + 25 + 499", "Combine constants: 4x + 61 = 5x + 524", "Subtract 5x from both sides: -x + 61 = 524", "Subtract 61 from both sides: -x = 463", "Divide both sides by -1: x = -463"], "final_answer": "-463", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 7) + 89 = 5(x + 5) + 499", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 7, \"c\": 89, \"d\": 5, \"e\": 5, \"f\": 499}", "seed": "5127932728697836544", "semantic_fingerprint": "sha256:5cff939eedb68b6732039004797f2716ecc49aede5ed022e461a0ddd711e533f", "generator_version": "3.0"}
{"id": "v3_test_id_00004968", "prompt": "What is 0 + 695?", "solution_steps": ["Add: 0 + 695 = 695"], "final_answer": "695", "answer_type": "integer", "kind": "expression", "math_text": "0 + 695", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 695}", "seed": "5982883532073553276", "semantic_fingerprint": "sha256:8c5ffc3683cc7c012bd35f2dbb04e6712f88c603c71042c1f6a8bd96a998b5c7", "generator_version": "3.0"}
{"id": "v3_test_id_00004969", "prompt": "Solve the equation 6x - 79 = 9(x + 6) - 73 for x.", "solution_steps": ["Expand: 6x - 79 = 9x + 54 - 73", "Combine constants: 6x - 79 = 9x - 19", "Subtract 9x from both sides: -3x - 79 = -19", "Add 79 to both sides: -3x = 60", "Divide both sides by -3: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 79 = 9(x + 6) - 73", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 79, \"c\": 9, \"d\": 6, \"f\": -73, \"x\": -20}", "seed": "12009341608697446498", "semantic_fingerprint": "sha256:fcb7d3569b76e244f5c502a14900b703b8e44c581ef4cc01b8c04028d8c04c42", "generator_version": "3.0"}
{"id": "v3_test_id_00004970", "prompt": "Evaluate: (1 + 9) * (-7 / (-747 / 1)) * 9", "solution_steps": ["Add: 1 + 9 = 10", "Divide: -747 / 1 = -747", "Divide: -7 / (-747) = 7/747", "Multiply: 10 * (7/747) = 70/747", "Multiply: (70/747) * 9 = 70/83"], "final_answer": "70/83", "answer_type": "rational", "kind": "expression", "math_text": "(1 + 9) * (-7 / (-747 / 1)) * 9", "variable": null, "family": "expression_5op", "shape": "(* (* (+ n n) (/ n (/ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 9, \"c\": -7, \"d\": -747, \"e\": 1, \"f\": 9}", "seed": "7626422833196267819", "semantic_fingerprint": "sha256:2857b1022e2cd379ea73c19241d452d8e598b3bb770602e11a8a18570e3ec229", "generator_version": "3.0"}
{"id": "v3_test_id_00004971", "prompt": "Evaluate: -965 + (-25)", "solution_steps": ["Add: -965 + (-25) = -990"], "final_answer": "-990", "answer_type": "integer", "kind": "expression", "math_text": "-965 + (-25)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -965, \"b\": -25}", "seed": "17668579846391339918", "semantic_fingerprint": "sha256:b0e28264d5545825404a85905c91014a4286d9c7ac021cecd3e4206f4bc8a287", "generator_version": "3.0"}
{"id": "v3_test_id_00004972", "prompt": "Evaluate: 611 / 7 * (-570) - 5", "solution_steps": ["Divide: 611 / 7 = 611/7", "Multiply: (611/7) * (-570) = -348270/7", "Subtract: -348270/7 - 5 = -348305/7"], "final_answer": "-348305/7", "answer_type": "rational", "kind": "expression", "math_text": "611 / 7 * (-570) - 5", "variable": null, "family": "expression_3op", "shape": "(- (* (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 611, \"b\": 7, \"c\": -570, \"d\": 5}", "seed": "1932429047036594350", "semantic_fingerprint": "sha256:c20bf21b9ccaf1d68d2072c0b2df2579cacc65a15732da9710687f1c836cb08e", "generator_version": "3.0"}
{"id": "v3_test_id_00004973", "prompt": "What is (-385 / 6 - (-2)) * (-64 + (8 + (-832)))?", "solution_steps": ["Divide: -385 / 6 = -385/6", "Subtract: -385/6 - (-2) = -373/6", "Add: 8 + (-832) = -824", "Add: -64 + (-824) = -888", "Multiply: (-373/6) * (-888) = 55204"], "final_answer": "55204", "answer_type": "integer", "kind": "expression", "math_text": "(-385 / 6 - (-2)) * (-64 + (8 + (-832)))", "variable": null, "family": "expression_5op", "shape": "(* (- (/ n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -385, \"b\": 6, \"c\": -2, \"d\": -64, \"e\": 8, \"f\": -832}", "seed": "4170439816909117439", "semantic_fingerprint": "sha256:97d7698a1a21e5f733ff20cf4cb31aeb0a35988b62ebf7d0256b1f302b786f3a", "generator_version": "3.0"}
{"id": "v3_test_id_00004974", "prompt": "Evaluate: (-10 * 89 + (-25) * (61 * 9)) * (-17)", "solution_steps": ["Multiply: -10 * 89 = -890", "Multiply: 61 * 9 = 549", "Multiply: -25 * 549 = -13725", "Add: -890 + (-13725) = -14615", "Multiply: -14615 * (-17) = 248455"], "final_answer": "248455", "answer_type": "integer", "kind": "expression", "math_text": "(-10 * 89 + (-25) * (61 * 9)) * (-17)", "variable": null, "family": "expression_5op", "shape": "(* (+ (* n n) (* n (* n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 89, \"c\": -25, \"d\": 61, \"e\": 9, \"f\": -17}", "seed": "7230153169817916639", "semantic_fingerprint": "sha256:7d333d87b58c3ee477d47cd8dc1ddb1df7b82ea64ef589118a2ffade58696d27", "generator_version": "3.0"}
{"id": "v3_test_id_00004975", "prompt": "What is 2 + (-92) + 89?", "solution_steps": ["Add: 2 + (-92) = -90", "Add: -90 + 89 = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "expression", "math_text": "2 + (-92) + 89", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -92, \"c\": 89}", "seed": "3329434437742058340", "semantic_fingerprint": "sha256:d8893b974fe65cc0876d419a6b9d5862033a87478039f0a779988e8dad746902", "generator_version": "3.0"}
{"id": "v3_test_id_00004976", "prompt": "Find x: 8x = -10(x + 95)", "solution_steps": ["Expand: 8x = -10x - 950", "Add 10x to both sides: 18x = -950", "Divide both sides by 18: x = -475/9"], "final_answer": "-475/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x = -10(x + 95)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -10, \"c\": 95}", "seed": "9685387725571853896", "semantic_fingerprint": "sha256:eb1d83dd394d6b483a819b0199ad7a3cd6089941af6ad348dfcd4222217a7bb1", "generator_version": "3.0"}
{"id": "v3_test_id_00004977", "prompt": "Find x: x - 9 = -5x - 39", "solution_steps": ["Add 5x to both sides: 6x - 9 = -39", "Add 9 to both sides: 6x = -30", "Divide both sides by 6: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9 = -5x - 39", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -5, \"d\": -39, \"x\": -5}", "seed": "1617946856141986094", "semantic_fingerprint": "sha256:0c8c2a8040d13abea0c652bb23b6b316f0781787794e11365911ffed8158d7c2", "generator_version": "3.0"}
{"id": "v3_test_id_00004978", "prompt": "Compute: 34 * (-4) * (1 - 312)", "solution_steps": ["Multiply: 34 * (-4) = -136", "Subtract: 1 - 312 = -311", "Multiply: -136 * (-311) = 42296"], "final_answer": "42296", "answer_type": "integer", "kind": "expression", "math_text": "34 * (-4) * (1 - 312)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": -4, \"c\": 1, \"d\": 312}", "seed": "9031546465917903653", "semantic_fingerprint": "sha256:3f493a12a11061fed14805a501be74bfeaade193d741f2e9e696cb3cc933c416", "generator_version": "3.0"}
{"id": "v3_test_id_00004979", "prompt": "What value of x satisfies 2(x - 7) = 7x + 56?", "solution_steps": ["Expand: 2x - 14 = 7x + 56", "Subtract 7x from both sides: -5x - 14 = 56", "Add 14 to both sides: -5x = 70", "Divide both sides by -5: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 7) = 7x + 56", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 7, \"c\": 7, \"e\": 56, \"x\": -14}", "seed": "4354119416306546272", "semantic_fingerprint": "sha256:dcb980ba2b9d1bbf27e286aa29ab4ca2d27e61a0a64d5a82709821f761205229", "generator_version": "3.0"}
{"id": "v3_test_id_00004980", "prompt": "Solve for x: 10x + 12 = 12(x + 31) - 334", "solution_steps": ["Expand: 10x + 12 = 12x + 372 - 334", "Combine constants: 10x + 12 = 12x + 38", "Subtract 12x from both sides: -2x + 12 = 38", "Subtract 12 from both sides: -2x = 26", "Divide both sides by -2: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x + 12 = 12(x + 31) - 334", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 12, \"c\": 12, \"d\": 31, \"f\": -334, \"x\": -13}", "seed": "3711105634019306344", "semantic_fingerprint": "sha256:f916f8c4eb330e7a8d1f63004df06c5c339063744747924717ad6a07af9a2673", "generator_version": "3.0"}
{"id": "v3_test_id_00004981", "prompt": "Solve the equation x - 135 = 7(x - 3) for x.", "solution_steps": ["Expand: x - 135 = 7x - 21", "Subtract 7x from both sides: -6x - 135 = -21", "Add 135 to both sides: -6x = 114", "Divide both sides by -6: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 135 = 7(x - 3)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 3, \"d\": -135, \"x\": -19}", "seed": "16059572370605333012", "semantic_fingerprint": "sha256:60392bfd093c7d2816b7713ef39dcc74dbf29a695a1fea190a21fe076a4310ac", "generator_version": "3.0"}
{"id": "v3_test_id_00004982", "prompt": "Find x: 7(x + 9) = -8x - 12", "solution_steps": ["Expand: 7x + 63 = -8x - 12", "Add 8x to both sides: 15x + 63 = -12", "Subtract 63 from both sides: 15x = -75", "Divide both sides by 15: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 9) = -8x - 12", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": -8, \"e\": -12, \"x\": -5}", "seed": "7111056582490624030", "semantic_fingerprint": "sha256:cee44d70ace40f9c3c81e5fbdfb696c69e2e165218d7b11e693c2315d384e460", "generator_version": "3.0"}
{"id": "v3_test_id_00004983", "prompt": "Solve the equation -2x + 88 = 10x - 56 for x.", "solution_steps": ["Subtract 10x from both sides: -12x + 88 = -56", "Subtract 88 from both sides: -12x = -144", "Divide both sides by -12: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x + 88 = 10x - 56", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 88, \"c\": 10, \"e\": -56, \"x\": 12}", "seed": "6495564498147897817", "semantic_fingerprint": "sha256:b6f8a09e16c5d2c66b5ee7db70ae060b68e4192573de77cd7335acd38ce120b0", "generator_version": "3.0"}
{"id": "v3_test_id_00004984", "prompt": "Find x: x = -5(x - 63)", "solution_steps": ["Expand: x = -5x + 315", "Add 5x to both sides: 6x = 315", "Divide both sides by 6: x = 105/2"], "final_answer": "105/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -5(x - 63)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 63}", "seed": "18241012320273499581", "semantic_fingerprint": "sha256:87d5a53e23b0f63ddf7c32e3ca9db8a305ec36799f48dc4dbfc877daa6983c15", "generator_version": "3.0"}
{"id": "v3_test_id_00004985", "prompt": "Find x: 10(x + 5) + 2 = 3(x - 137) + 330", "solution_steps": ["Expand: 10x + 50 + 2 = 3(x - 137) + 330", "Expand: 10x + 50 + 2 = 3x - 411 + 330", "Combine constants: 10x + 52 = 3x - 411 + 330", "Combine constants: 10x + 52 = 3x - 81", "Subtract 3x from both sides: 7x + 52 = -81", "Subtract 52 from both sides: 7x = -133", "Divide both sides by 7: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 5) + 2 = 3(x - 137) + 330", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 5, \"c\": 2, \"d\": 3, \"e\": 137, \"g\": 330, \"x\": -19}", "seed": "1596115918657647460", "semantic_fingerprint": "sha256:27107b52b836305f316929a75998c792e39d07e63998ed37d0a48715213b78f3", "generator_version": "3.0"}
{"id": "v3_test_id_00004986", "prompt": "Compute: (872 - 823 * (-8)) * (28 + 71)", "solution_steps": ["Multiply: 823 * (-8) = -6584", "Subtract: 872 - (-6584) = 7456", "Add: 28 + 71 = 99", "Multiply: 7456 * 99 = 738144"], "final_answer": "738144", "answer_type": "integer", "kind": "expression", "math_text": "(872 - 823 * (-8)) * (28 + 71)", "variable": null, "family": "expression_4op", "shape": "(* (- n (* n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 872, \"b\": 823, \"c\": -8, \"d\": 28, \"e\": 71}", "seed": "7133533206297679928", "semantic_fingerprint": "sha256:42b3498561670e663c709229316574821c67115c8b3c7503991cdf868bde0ff1", "generator_version": "3.0"}
{"id": "v3_test_id_00004987", "prompt": "Solve for x: -6(x - 984) + 4 = x - 85", "solution_steps": ["Expand: -6x + 5904 + 4 = x - 85", "Combine constants: -6x + 5908 = x - 85", "Subtract x from both sides: -7x + 5908 = -85", "Subtract 5908 from both sides: -7x = -5993", "Divide both sides by -7: x = 5993/7"], "final_answer": "5993/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x - 984) + 4 = x - 85", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 984, \"c\": 4, \"d\": 85}", "seed": "949354664576782764", "semantic_fingerprint": "sha256:5773c9b0d4d1a013fda9e94d0ca10801dad1c0a53ff550f8c7a58422fc26cd83", "generator_version": "3.0"}
{"id": "v3_test_id_00004988", "prompt": "Compute: (-96 + (-57) + (-6)) * (-1 + (-1) + 29)", "solution_steps": ["Add: -96 + (-57) = -153", "Add: -153 + (-6) = -159", "Add: -1 + (-1) = -2", "Add: -2 + 29 = 27", "Multiply: -159 * 27 = -4293"], "final_answer": "-4293", "answer_type": "integer", "kind": "expression", "math_text": "(-96 + (-57) + (-6)) * (-1 + (-1) + 29)", "variable": null, "family": "expression_5op", "shape": "(* (+ (+ n n) n) (+ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": -57, \"c\": -6, \"d\": -1, \"e\": -1, \"f\": 29}", "seed": "17966690248295007116", "semantic_fingerprint": "sha256:fbd010f4e2083f774a9f91660c631a740214d5ef503676d9c45044afe7799948", "generator_version": "3.0"}
{"id": "v3_test_id_00004989", "prompt": "Compute: -95 / 45", "solution_steps": ["Divide: -95 / 45 = -19/9"], "final_answer": "-19/9", "answer_type": "rational", "kind": "expression", "math_text": "-95 / 45", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": 45}", "seed": "6553692199250380851", "semantic_fingerprint": "sha256:a4351c137bd24568103cf1392f61bf1028927916337db392a0aade92914c728d", "generator_version": "3.0"}
{"id": "v3_test_id_00004990", "prompt": "Calculate: 9 / (-7) - (-2) / (-89) + 190", "solution_steps": ["Divide: 9 / (-7) = -9/7", "Divide: -2 / (-89) = 2/89", "Subtract: -9/7 - 2/89 = -815/623", "Add: -815/623 + 190 = 117555/623"], "final_answer": "117555/623", "answer_type": "rational", "kind": "expression", "math_text": "9 / (-7) - (-2) / (-89) + 190", "variable": null, "family": "expression_4op", "shape": "(+ (- (/ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -7, \"c\": -2, \"d\": -89, \"e\": 190}", "seed": "4101382338907960272", "semantic_fingerprint": "sha256:1e445dd3291c8b443d69bd15b1ec90dc315bccbd8a8d4d1db174315357b67799", "generator_version": "3.0"}
{"id": "v3_test_id_00004991", "prompt": "What value of x satisfies x - 18 = 7x?", "solution_steps": ["Subtract 7x from both sides: -6x - 18 = 0", "Add 18 to both sides: -6x = 18", "Divide both sides by -6: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 18 = 7x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"c\": -18, \"x\": -3}", "seed": "178117549714634731", "semantic_fingerprint": "sha256:57fce841183d1a0159fe24317dc92278d4ed1719ea625a91593be59addb123bc", "generator_version": "3.0"}
{"id": "v3_test_id_00004992", "prompt": "Compute: 342 * 0 + (-23)", "solution_steps": ["Multiply: 342 * 0 = 0", "Add: 0 + (-23) = -23"], "final_answer": "-23", "answer_type": "integer", "kind": "expression", "math_text": "342 * 0 + (-23)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 342, \"b\": 0, \"c\": -23}", "seed": "12090819826516547419", "semantic_fingerprint": "sha256:828030f9bdb499415be4f06dbdb0412180ab47795ced881524c54165ca8b3237", "generator_version": "3.0"}
{"id": "v3_test_id_00004993", "prompt": "Calculate: 5 * (-4 + 732) - (-661)", "solution_steps": ["Add: -4 + 732 = 728", "Multiply: 5 * 728 = 3640", "Subtract: 3640 - (-661) = 4301"], "final_answer": "4301", "answer_type": "integer", "kind": "expression", "math_text": "5 * (-4 + 732) - (-661)", "variable": null, "family": "expression_3op", "shape": "(- (* n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -4, \"c\": 732, \"d\": -661}", "seed": "7596808215647620365", "semantic_fingerprint": "sha256:89e1eeb86543e2b67d619b68580d7d04af3f00db3e889be26470ed1f3579a01b", "generator_version": "3.0"}
{"id": "v3_test_id_00004994", "prompt": "Calculate: (6 - (-69)) * (-53 - 88)", "solution_steps": ["Subtract: 6 - (-69) = 75", "Subtract: -53 - 88 = -141", "Multiply: 75 * (-141) = -10575"], "final_answer": "-10575", "answer_type": "integer", "kind": "expression", "math_text": "(6 - (-69)) * (-53 - 88)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -69, \"c\": -53, \"d\": 88}", "seed": "1896644911395833954", "semantic_fingerprint": "sha256:bab43dea24da081d47c6be9ca0967d8896eda03c426a9388dd1962fb22c42773", "generator_version": "3.0"}
{"id": "v3_test_id_00004995", "prompt": "Solve for x: 7(x - 57) + 4 = -6x - 226", "solution_steps": ["Expand: 7x - 399 + 4 = -6x - 226", "Combine constants: 7x - 395 = -6x - 226", "Add 6x to both sides: 13x - 395 = -226", "Add 395 to both sides: 13x = 169", "Divide both sides by 13: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 57) + 4 = -6x - 226", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 57, \"c\": 4, \"d\": -6, \"f\": -226, \"x\": 13}", "seed": "18113142778209002883", "semantic_fingerprint": "sha256:a7aaee2c14fe8c438289ed56bfb6f8b9d12b3a7b60f9b6e098441cb6ee7785d6", "generator_version": "3.0"}
{"id": "v3_test_id_00004996", "prompt": "Compute: -700 / (909 / 7 / (-50 - (-37)))", "solution_steps": ["Divide: 909 / 7 = 909/7", "Subtract: -50 - (-37) = -13", "Divide: (909/7) / (-13) = -909/91", "Divide: -700 / (-909/91) = 63700/909"], "final_answer": "63700/909", "answer_type": "rational", "kind": "expression", "math_text": "-700 / (909 / 7 / (-50 - (-37)))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (/ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -700, \"b\": 909, \"c\": 7, \"d\": -50, \"e\": -37}", "seed": "3331092644806530636", "semantic_fingerprint": "sha256:123cffe87ee15d0c72c0f4086ed72ae4005400e910c47bc0bd9144a3f8d6a964", "generator_version": "3.0"}
{"id": "v3_test_id_00004997", "prompt": "Solve the equation 11(x + 71) = 7x + 805 for x.", "solution_steps": ["Expand: 11x + 781 = 7x + 805", "Subtract 7x from both sides: 4x + 781 = 805", "Subtract 781 from both sides: 4x = 24", "Divide both sides by 4: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 71) = 7x + 805", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 71, \"c\": 7, \"e\": 805, \"x\": 6}", "seed": "2141410817052451805", "semantic_fingerprint": "sha256:ac29d03d5d6dcf6eb5c5296f8c3ca7153c84d91352fa62c6ebde24daabc80706", "generator_version": "3.0"}
{"id": "v3_test_id_00004998", "prompt": "Evaluate: -5 / (391 / 898) + (-6) / 8", "solution_steps": ["Divide: 391 / 898 = 391/898", "Divide: -5 / (391/898) = -4490/391", "Divide: -6 / 8 = -3/4", "Add: -4490/391 + (-3/4) = -19133/1564"], "final_answer": "-19133/1564", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (391 / 898) + (-6) / 8", "variable": null, "family": "expression_4op", "shape": "(+ (/ n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 391, \"c\": 898, \"d\": -6, \"e\": 8}", "seed": "10064961086285708310", "semantic_fingerprint": "sha256:8fd40addafd39d78a31fea0845bddf5faa25d98ad0cd2badca56043a01a3b36c", "generator_version": "3.0"}
{"id": "v3_test_id_00004999", "prompt": "Evaluate: -5 - (-556 - 59)", "solution_steps": ["Subtract: -556 - 59 = -615", "Subtract: -5 - (-615) = 610"], "final_answer": "610", "answer_type": "integer", "kind": "expression", "math_text": "-5 - (-556 - 59)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -556, \"c\": 59}", "seed": "16240808225279411246", "semantic_fingerprint": "sha256:702403e16f5c605a3ea3c1964bc6538d49810733a23995af815acc9cf7fda9de", "generator_version": "3.0"}
{"id": "v3_test_id_00005000", "prompt": "Solve the equation -6(x - 2) = -7(x - 3) for x.", "solution_steps": ["Expand: -6x + 12 = -7(x - 3)", "Expand: -6x + 12 = -7x + 21", "Add 7x to both sides: x + 12 = 21", "Subtract 12 from both sides: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 2) = -7(x - 3)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 2, \"c\": -7, \"d\": 3}", "seed": "11724497912099881869", "semantic_fingerprint": "sha256:461f6a612be28ee4e6664778bbcdab83b32939995db23f65c3dc43b2de620795", "generator_version": "3.0"}
{"id": "v3_test_id_00005001", "prompt": "Solve for x: 3(x + 43) = -2(x - 81) - 133", "solution_steps": ["Expand: 3x + 129 = -2(x - 81) - 133", "Expand: 3x + 129 = -2x + 162 - 133", "Combine constants: 3x + 129 = -2x + 29", "Add 2x to both sides: 5x + 129 = 29", "Subtract 129 from both sides: 5x = -100", "Divide both sides by 5: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 43) = -2(x - 81) - 133", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 43, \"c\": -2, \"d\": 81, \"f\": -133, \"x\": -20}", "seed": "10282963035192471649", "semantic_fingerprint": "sha256:36fa6c0b750f2aa4d8af9ee092a2e69250173f35b5d8cb7ac4315af84d1e2b63", "generator_version": "3.0"}
{"id": "v3_test_id_00005002", "prompt": "Calculate: 765 + (-30) + 8", "solution_steps": ["Add: 765 + (-30) = 735", "Add: 735 + 8 = 743"], "final_answer": "743", "answer_type": "integer", "kind": "expression", "math_text": "765 + (-30) + 8", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 765, \"b\": -30, \"c\": 8}", "seed": "5797236636221790213", "semantic_fingerprint": "sha256:a9417f1f8dca4a484f3d98fec2c16e8c8c7497591d318334c83cd318aa016094", "generator_version": "3.0"}
{"id": "v3_test_id_00005003", "prompt": "Calculate: 59 / (-1 + (9 - (-91)))", "solution_steps": ["Subtract: 9 - (-91) = 100", "Add: -1 + 100 = 99", "Divide: 59 / 99 = 59/99"], "final_answer": "59/99", "answer_type": "rational", "kind": "expression", "math_text": "59 / (-1 + (9 - (-91)))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": -1, \"c\": 9, \"d\": -91}", "seed": "5510773088699695791", "semantic_fingerprint": "sha256:7a00aecf904a3a2318bb65e1150266193fc7082ca48de42bb77d3c166aeb1f3e", "generator_version": "3.0"}
{"id": "v3_test_id_00005004", "prompt": "Evaluate: (-1 + 218 - 62) / ((47 + (-85)) / (-544))", "solution_steps": ["Add: -1 + 218 = 217", "Subtract: 217 - 62 = 155", "Add: 47 + (-85) = -38", "Divide: -38 / (-544) = 19/272", "Divide: 155 / (19/272) = 42160/19"], "final_answer": "42160/19", "answer_type": "rational", "kind": "expression", "math_text": "(-1 + 218 - 62) / ((47 + (-85)) / (-544))", "variable": null, "family": "expression_5op", "shape": "(/ (- (+ n n) n) (/ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 218, \"c\": 62, \"d\": 47, \"e\": -85, \"f\": -544}", "seed": "14570265278121105289", "semantic_fingerprint": "sha256:1a907b38c1828a58891d94d3694b287a50abdb0ea00fa0351aae86823e983ff7", "generator_version": "3.0"}
{"id": "v3_test_id_00005005", "prompt": "Compute: (92 * (-2) + 8) / (-849 - 28)", "solution_steps": ["Multiply: 92 * (-2) = -184", "Add: -184 + 8 = -176", "Subtract: -849 - 28 = -877", "Divide: -176 / (-877) = 176/877"], "final_answer": "176/877", "answer_type": "rational", "kind": "expression", "math_text": "(92 * (-2) + 8) / (-849 - 28)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": -2, \"c\": 8, \"d\": -849, \"e\": 28}", "seed": "17040506735598838841", "semantic_fingerprint": "sha256:aa394468f511c593f660a0ef8ccfd9729fac9230b7a17aff5c39ee6c3820b263", "generator_version": "3.0"}
{"id": "v3_test_id_00005006", "prompt": "What value of x satisfies 2x = 9(x - 184)?", "solution_steps": ["Expand: 2x = 9x - 1656", "Subtract 9x from both sides: -7x = -1656", "Divide both sides by -7: x = 1656/7"], "final_answer": "1656/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x = 9(x - 184)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 184}", "seed": "3536364906449113022", "semantic_fingerprint": "sha256:b5cca87d2f362df1385ba3b69b5649c26ec69703e6826276bfa603fd602161e8", "generator_version": "3.0"}
{"id": "v3_test_id_00005007", "prompt": "What value of x satisfies -8x + 51 = 4(x + 1) - 42?", "solution_steps": ["Expand: -8x + 51 = 4x + 4 - 42", "Combine constants: -8x + 51 = 4x - 38", "Subtract 4x from both sides: -12x + 51 = -38", "Subtract 51 from both sides: -12x = -89", "Divide both sides by -12: x = 89/12"], "final_answer": "89/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8x + 51 = 4(x + 1) - 42", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 51, \"c\": 4, \"d\": 1, \"e\": 42}", "seed": "14797501293638498242", "semantic_fingerprint": "sha256:efcf27871118d3b7b10a6b18ffbfe1a43bfb07118a304c6d8dfa508e8155dc8f", "generator_version": "3.0"}
{"id": "v3_test_id_00005008", "prompt": "Calculate: 44 * 96 / (-287)", "solution_steps": ["Multiply: 44 * 96 = 4224", "Divide: 4224 / (-287) = -4224/287"], "final_answer": "-4224/287", "answer_type": "rational", "kind": "expression", "math_text": "44 * 96 / (-287)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": 96, \"c\": -287}", "seed": "17060129664780211621", "semantic_fingerprint": "sha256:88473564b34f9e5f9224739ebde697e44c2496e2004abb271a9f1fd34d72c31a", "generator_version": "3.0"}
{"id": "v3_test_id_00005009", "prompt": "What is -646 + (-41) + 262?", "solution_steps": ["Add: -646 + (-41) = -687", "Add: -687 + 262 = -425"], "final_answer": "-425", "answer_type": "integer", "kind": "expression", "math_text": "-646 + (-41) + 262", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -646, \"b\": -41, \"c\": 262}", "seed": "15300061459577249982", "semantic_fingerprint": "sha256:df2afdf0468274856f0a8ec0f38a515dc6d60bb00e8d209d419105e0e6eb16a8", "generator_version": "3.0"}
{"id": "v3_test_id_00005010", "prompt": "Calculate: 5 / 1 * (-8)", "solution_steps": ["Divide: 5 / 1 = 5", "Multiply: 5 * (-8) = -40"], "final_answer": "-40", "answer_type": "integer", "kind": "expression", "math_text": "5 / 1 * (-8)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 1, \"c\": -8}", "seed": "2701586376210326166", "semantic_fingerprint": "sha256:789aa1b18545448b38f0eb9cd0a7b4c7442b662ed318bef2448185d1b036ced6", "generator_version": "3.0"}
{"id": "v3_test_id_00005011", "prompt": "Calculate: 141 * 29 / ((281 - 71) / 41)", "solution_steps": ["Multiply: 141 * 29 = 4089", "Subtract: 281 - 71 = 210", "Divide: 210 / 41 = 210/41", "Divide: 4089 / (210/41) = 55883/70"], "final_answer": "55883/70", "answer_type": "rational", "kind": "expression", "math_text": "141 * 29 / ((281 - 71) / 41)", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 141, \"b\": 29, \"c\": 281, \"d\": 71, \"e\": 41}", "seed": "6945201682704560767", "semantic_fingerprint": "sha256:8d2a9ae29d51a79f7b4ffe3e7e12d64d134a4dfc7360f8aa29585aaa919483d5", "generator_version": "3.0"}
{"id": "v3_test_id_00005012", "prompt": "Compute: (70 - 80 + 11 / (-50)) * (-123)", "solution_steps": ["Subtract: 70 - 80 = -10", "Divide: 11 / (-50) = -11/50", "Add: -10 + (-11/50) = -511/50", "Multiply: (-511/50) * (-123) = 62853/50"], "final_answer": "62853/50", "answer_type": "rational", "kind": "expression", "math_text": "(70 - 80 + 11 / (-50)) * (-123)", "variable": null, "family": "expression_4op", "shape": "(* (+ (- n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": 80, \"c\": 11, \"d\": -50, \"e\": -123}", "seed": "15474006204705067235", "semantic_fingerprint": "sha256:f180918c7651e536114624dfe0c4a8d9c356b20973d617bf576b24c820d9dec1", "generator_version": "3.0"}
{"id": "v3_test_id_00005013", "prompt": "What value of x satisfies 2x + 895 = 12(x - 3)?", "solution_steps": ["Expand: 2x + 895 = 12x - 36", "Subtract 12x from both sides: -10x + 895 = -36", "Subtract 895 from both sides: -10x = -931", "Divide both sides by -10: x = 931/10"], "final_answer": "931/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x + 895 = 12(x - 3)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 895, \"c\": 12, \"d\": 3}", "seed": "17480404707903296731", "semantic_fingerprint": "sha256:34048ac85188a90c3bf1ba785e534e60e96319e6f9745bfe91edac9bf9d4db89", "generator_version": "3.0"}
{"id": "v3_test_id_00005014", "prompt": "Calculate: 295 - (908 + 8) - (-5)", "solution_steps": ["Add: 908 + 8 = 916", "Subtract: 295 - 916 = -621", "Subtract: -621 - (-5) = -616"], "final_answer": "-616", "answer_type": "integer", "kind": "expression", "math_text": "295 - (908 + 8) - (-5)", "variable": null, "family": "expression_3op", "shape": "(- (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 295, \"b\": 908, \"c\": 8, \"d\": -5}", "seed": "1037818420496521724", "semantic_fingerprint": "sha256:24f6fdfa62de7b728d772720f33ea5e9b3b1763f162c1e8341f004b7b818343e", "generator_version": "3.0"}
{"id": "v3_test_id_00005015", "prompt": "What is -78 / 6 * (-18)?", "solution_steps": ["Divide: -78 / 6 = -13", "Multiply: -13 * (-18) = 234"], "final_answer": "234", "answer_type": "integer", "kind": "expression", "math_text": "-78 / 6 * (-18)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": 6, \"c\": -18}", "seed": "8791924969714792414", "semantic_fingerprint": "sha256:0515a30e67e9a17918ad723d693bbe9e37f497749eaa8c745f7906ba8ab1457c", "generator_version": "3.0"}
{"id": "v3_test_id_00005016", "prompt": "What is 0 + 0 - (931 - (-3))?", "solution_steps": ["Add: 0 + 0 = 0", "Subtract: 931 - (-3) = 934", "Subtract: 0 - 934 = -934"], "final_answer": "-934", "answer_type": "integer", "kind": "expression", "math_text": "0 + 0 - (931 - (-3))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 0, \"c\": 931, \"d\": -3}", "seed": "7169725489595779146", "semantic_fingerprint": "sha256:871c517843d50168a3502f99cca1f7b20bc7058ecf9577c77fcae41911e35aab", "generator_version": "3.0"}
{"id": "v3_test_id_00005017", "prompt": "What is 0 / (-89) / (-3 - 121 - (-584))?", "solution_steps": ["Divide: 0 / (-89) = 0", "Subtract: -3 - 121 = -124", "Subtract: -124 - (-584) = 460", "Divide: 0 / 460 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-89) / (-3 - 121 - (-584))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (- (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -89, \"c\": -3, \"d\": 121, \"e\": -584}", "seed": "13275545896093212542", "semantic_fingerprint": "sha256:bb9fbb2693a58bd2a81446d107555c3fa1c153f6f3bdbca21e283b3b32a8d11e", "generator_version": "3.0"}
{"id": "v3_test_id_00005018", "prompt": "Solve for x: x - 256 = 5x - 236", "solution_steps": ["Subtract 5x from both sides: -4x - 256 = -236", "Add 256 to both sides: -4x = 20", "Divide both sides by -4: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 256 = 5x - 236", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 256, \"b\": 5, \"d\": -236, \"x\": -5}", "seed": "15723015355947645217", "semantic_fingerprint": "sha256:72d4fa5e01f83725ac8ddc1d81795d516ce6be14552d3bcc175e4f9fa3c519f8", "generator_version": "3.0"}
{"id": "v3_test_id_00005019", "prompt": "Solve the equation 10x - 144 = x for x.", "solution_steps": ["Subtract x from both sides: 9x - 144 = 0", "Add 144 to both sides: 9x = 144", "Divide both sides by 9: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x - 144 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"c\": -144, \"x\": 16}", "seed": "12009710957425526983", "semantic_fingerprint": "sha256:929a463f666eaa7cbc7bf14fb1f2c7451805ee5c854ae596335588076872fad3", "generator_version": "3.0"}
{"id": "v3_test_id_00005020", "prompt": "Compute: 96 / (60 / 5)", "solution_steps": ["Divide: 60 / 5 = 12", "Divide: 96 / 12 = 8"], "final_answer": "8", "answer_type": "integer", "kind": "expression", "math_text": "96 / (60 / 5)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": 60, \"c\": 5}", "seed": "15257469698617260428", "semantic_fingerprint": "sha256:5de92b0cadeb8880c66b6091a726ca56462c6634c88b3f96bc7b3381a3f10e89", "generator_version": "3.0"}
{"id": "v3_test_id_00005021", "prompt": "Calculate: -94 - (-7) - (-37)", "solution_steps": ["Subtract: -94 - (-7) = -87", "Subtract: -87 - (-37) = -50"], "final_answer": "-50", "answer_type": "integer", "kind": "expression", "math_text": "-94 - (-7) - (-37)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": -7, \"c\": -37}", "seed": "9380237337919694573", "semantic_fingerprint": "sha256:550697dfd58210238365538937f423c7036cfa8998e60d8ebb2d9a97d60163c3", "generator_version": "3.0"}
{"id": "v3_test_id_00005022", "prompt": "Evaluate: 4 - 17 + (-31) - 8 * (-24 - (-15))", "solution_steps": ["Subtract: 4 - 17 = -13", "Add: -13 + (-31) = -44", "Subtract: -24 - (-15) = -9", "Multiply: 8 * (-9) = -72", "Subtract: -44 - (-72) = 28"], "final_answer": "28", "answer_type": "integer", "kind": "expression", "math_text": "4 - 17 + (-31) - 8 * (-24 - (-15))", "variable": null, "family": "expression_5op", "shape": "(- (+ (- n n) n) (* n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 17, \"c\": -31, \"d\": 8, \"e\": -24, \"f\": -15}", "seed": "9973876885726634406", "semantic_fingerprint": "sha256:6e099ee57b7770868ba44b9bb7b776e8e8e274bb7fa56e736d70324566f25596", "generator_version": "3.0"}
{"id": "v3_test_id_00005023", "prompt": "Compute: -59 * (-86 * (22 / (-1) * (-3 / (-203))))", "solution_steps": ["Divide: 22 / (-1) = -22", "Divide: -3 / (-203) = 3/203", "Multiply: -22 * (3/203) = -66/203", "Multiply: -86 * (-66/203) = 5676/203", "Multiply: -59 * (5676/203) = -334884/203"], "final_answer": "-334884/203", "answer_type": "rational", "kind": "expression", "math_text": "-59 * (-86 * (22 / (-1) * (-3 / (-203))))", "variable": null, "family": "expression_5op", "shape": "(* n (* n (* (/ n n) (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": -86, \"c\": 22, \"d\": -1, \"e\": -3, \"f\": -203}", "seed": "375019216766740770", "semantic_fingerprint": "sha256:8b95eb02b30d3c1130b1b3c5ee9116f02e0b9197b74a4c54e414feb318c1fd96", "generator_version": "3.0"}
{"id": "v3_test_id_00005024", "prompt": "Solve the equation 5(x + 17) - 83 = 3x for x.", "solution_steps": ["Expand: 5x + 85 - 83 = 3x", "Combine constants: 5x + 2 = 3x", "Subtract 3x from both sides: 2x + 2 = 0", "Subtract 2 from both sides: 2x = -2", "Divide both sides by 2: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 17) - 83 = 3x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 17, \"c\": 3, \"e\": -83, \"x\": -1}", "seed": "18393341284147283596", "semantic_fingerprint": "sha256:3643942ec3ba28a48c6fc3136c787c47ad7a76610c8cf7f962126c1cda850910", "generator_version": "3.0"}
{"id": "v3_test_id_00005025", "prompt": "Evaluate: 35 + 3", "solution_steps": ["Add: 35 + 3 = 38"], "final_answer": "38", "answer_type": "integer", "kind": "expression", "math_text": "35 + 3", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": 3}", "seed": "9171020675344225571", "semantic_fingerprint": "sha256:3844297488909806027d5a8387d76761b55b858968c45fdd57b49a9c1efcbdfb", "generator_version": "3.0"}
{"id": "v3_test_id_00005026", "prompt": "Calculate: 31 - 2 + 54", "solution_steps": ["Subtract: 31 - 2 = 29", "Add: 29 + 54 = 83"], "final_answer": "83", "answer_type": "integer", "kind": "expression", "math_text": "31 - 2 + 54", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 2, \"c\": 54}", "seed": "16319090843418486038", "semantic_fingerprint": "sha256:6604be26fa9ef28c991478ba021d0860179106fca64a1b33a42300b95d2f3d09", "generator_version": "3.0"}
{"id": "v3_test_id_00005027", "prompt": "What is 2 - 10 - 1?", "solution_steps": ["Subtract: 2 - 10 = -8", "Subtract: -8 - 1 = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "expression", "math_text": "2 - 10 - 1", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 10, \"c\": 1}", "seed": "17531425390702340484", "semantic_fingerprint": "sha256:2a4b0ec5dc8de2d1ba290e65dad2aa653d2ea58d5bd1fa0198148d92c4434a91", "generator_version": "3.0"}
{"id": "v3_test_id_00005028", "prompt": "Evaluate: 4 / (-4 / (-4 / 311) / (-499))", "solution_steps": ["Divide: -4 / 311 = -4/311", "Divide: -4 / (-4/311) = 311", "Divide: 311 / (-499) = -311/499", "Divide: 4 / (-311/499) = -1996/311"], "final_answer": "-1996/311", "answer_type": "rational", "kind": "expression", "math_text": "4 / (-4 / (-4 / 311) / (-499))", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (/ n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -4, \"c\": -4, \"d\": 311, \"e\": -499}", "seed": "13681381839731504731", "semantic_fingerprint": "sha256:cff3f31554fbf48576a1c2e6f7b90c297afe27b58fc7193b6deef55f05ceaa70", "generator_version": "3.0"}
{"id": "v3_test_id_00005029", "prompt": "Solve for x: 5(x + 34) = x", "solution_steps": ["Expand: 5x + 170 = x", "Subtract x from both sides: 4x + 170 = 0", "Subtract 170 from both sides: 4x = -170", "Divide both sides by 4: x = -85/2"], "final_answer": "-85/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 34) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 34}", "seed": "11841211857951224357", "semantic_fingerprint": "sha256:1c01e4b05443d4e67af6948d831a9669fd081b1fa356b9b824faa00eb93899d0", "generator_version": "3.0"}
{"id": "v3_test_id_00005030", "prompt": "Find x: -6(x + 7) = -7(x - 79)", "solution_steps": ["Expand: -6x - 42 = -7(x - 79)", "Expand: -6x - 42 = -7x + 553", "Add 7x to both sides: x - 42 = 553", "Add 42 to both sides: x = 595"], "final_answer": "595", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 7) = -7(x - 79)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 7, \"c\": -7, \"d\": 79}", "seed": "17232159572816179256", "semantic_fingerprint": "sha256:7c4a5dffa490a51c137df11ca20f90d935780257e8d4479c4a8a8e10444967f9", "generator_version": "3.0"}
{"id": "v3_test_id_00005031", "prompt": "What is -541 * (6 / 428 * (-443))?", "solution_steps": ["Divide: 6 / 428 = 3/214", "Multiply: (3/214) * (-443) = -1329/214", "Multiply: -541 * (-1329/214) = 718989/214"], "final_answer": "718989/214", "answer_type": "rational", "kind": "expression", "math_text": "-541 * (6 / 428 * (-443))", "variable": null, "family": "expression_3op", "shape": "(* n (* (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -541, \"b\": 6, \"c\": 428, \"d\": -443}", "seed": "18239143931651493526", "semantic_fingerprint": "sha256:31c3ef931c9cf174e6f442ad2cbaddd0348928aee89b8227b46cf1aa0d1005ab", "generator_version": "3.0"}
{"id": "v3_test_id_00005032", "prompt": "Compute: -813 * 86", "solution_steps": ["Multiply: -813 * 86 = -69918"], "final_answer": "-69918", "answer_type": "integer", "kind": "expression", "math_text": "-813 * 86", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -813, \"b\": 86}", "seed": "9298423752378579751", "semantic_fingerprint": "sha256:d8836287e759b7fb3e4ebc1e2910ef35dfdb879f9650366e67c6906120793177", "generator_version": "3.0"}
{"id": "v3_test_id_00005033", "prompt": "What is 64 / (-93) * (-7 * (-8 - (-630)))?", "solution_steps": ["Divide: 64 / (-93) = -64/93", "Subtract: -8 - (-630) = 622", "Multiply: -7 * 622 = -4354", "Multiply: (-64/93) * (-4354) = 278656/93"], "final_answer": "278656/93", "answer_type": "rational", "kind": "expression", "math_text": "64 / (-93) * (-7 * (-8 - (-630)))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": -93, \"c\": -7, \"d\": -8, \"e\": -630}", "seed": "299127474954459104", "semantic_fingerprint": "sha256:7d678b71a939316562f065cd509148e39927ad7446bea376f586b0bb6ab0942c", "generator_version": "3.0"}
{"id": "v3_test_id_00005034", "prompt": "What value of x satisfies x + 3 = 10?", "solution_steps": ["Subtract 3 from both sides: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3 = 10", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"c\": 10, \"x\": 7}", "seed": "6257391811202410596", "semantic_fingerprint": "sha256:ccf47d2ec691ed0fa8dbe5c27fbc4f97850eee8854ceebd6d5c3ec40e12a1450", "generator_version": "3.0"}
{"id": "v3_test_id_00005035", "prompt": "Compute: -1 * (-5)", "solution_steps": ["Multiply: -1 * (-5) = 5"], "final_answer": "5", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (-5)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -5}", "seed": "10946926182209286717", "semantic_fingerprint": "sha256:d2dc70f22612fa9cea3adc58c35035acf02de80124b494432a7938d6c56c4fc5", "generator_version": "3.0"}
{"id": "v3_test_id_00005036", "prompt": "What is 60 / (-6) - (-5)?", "solution_steps": ["Divide: 60 / (-6) = -10", "Subtract: -10 - (-5) = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "expression", "math_text": "60 / (-6) - (-5)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": -6, \"c\": -5}", "seed": "874502451648800978", "semantic_fingerprint": "sha256:98d368a76f5c9eba0d5a8cbff5c5230f3ff98654f3b42145424572aa30042d5d", "generator_version": "3.0"}
{"id": "v3_test_id_00005037", "prompt": "Evaluate: 1 - (0 * (-643) - 65) - (-849) * (-38)", "solution_steps": ["Multiply: 0 * (-643) = 0", "Subtract: 0 - 65 = -65", "Subtract: 1 - (-65) = 66", "Multiply: -849 * (-38) = 32262", "Subtract: 66 - 32262 = -32196"], "final_answer": "-32196", "answer_type": "integer", "kind": "expression", "math_text": "1 - (0 * (-643) - 65) - (-849) * (-38)", "variable": null, "family": "expression_5op", "shape": "(- (- n (- (* n n) n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 0, \"c\": -643, \"d\": 65, \"e\": -849, \"f\": -38}", "seed": "11578285788738654181", "semantic_fingerprint": "sha256:50cae1edef1f85b431f371e309fbf5a674dfc7b0312354d8e66e85eccf6f1d61", "generator_version": "3.0"}
{"id": "v3_test_id_00005038", "prompt": "Calculate: 41 / (-943) * (-1) + 622", "solution_steps": ["Divide: 41 / (-943) = -1/23", "Multiply: (-1/23) * (-1) = 1/23", "Add: 1/23 + 622 = 14307/23"], "final_answer": "14307/23", "answer_type": "rational", "kind": "expression", "math_text": "41 / (-943) * (-1) + 622", "variable": null, "family": "expression_3op", "shape": "(+ (* (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": -943, \"c\": -1, \"d\": 622}", "seed": "9975671387242658231", "semantic_fingerprint": "sha256:a558997da7e2a0f795dc41a7b931254b2e5f59caf3965b6db7424b6c35b356bf", "generator_version": "3.0"}
{"id": "v3_test_id_00005039", "prompt": "What is (-9 + 0) * (-3) - (-5)?", "solution_steps": ["Add: -9 + 0 = -9", "Multiply: -9 * (-3) = 27", "Subtract: 27 - (-5) = 32"], "final_answer": "32", "answer_type": "integer", "kind": "expression", "math_text": "(-9 + 0) * (-3) - (-5)", "variable": null, "family": "expression_3op", "shape": "(- (* (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 0, \"c\": -3, \"d\": -5}", "seed": "8798206988515129876", "semantic_fingerprint": "sha256:1e20308c0582bae6d6359af6517df3c92de6073c3f490d6b42e1f0bf8d5fb7a8", "generator_version": "3.0"}
{"id": "v3_test_id_00005040", "prompt": "Solve for x: -8(x + 47) = 12x + 37", "solution_steps": ["Expand: -8x - 376 = 12x + 37", "Subtract 12x from both sides: -20x - 376 = 37", "Add 376 to both sides: -20x = 413", "Divide both sides by -20: x = -413/20"], "final_answer": "-413/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x + 47) = 12x + 37", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 47, \"c\": 12, \"d\": 37}", "seed": "12089765651539801616", "semantic_fingerprint": "sha256:5503ae420e69681702d65c6d95b3f6eae31ef94dbccf1bfdaeb3cf9f0ffcb345", "generator_version": "3.0"}
{"id": "v3_test_id_00005041", "prompt": "Calculate: 19 / 9 * (-1 - (-58) + (-90) / 690)", "solution_steps": ["Divide: 19 / 9 = 19/9", "Subtract: -1 - (-58) = 57", "Divide: -90 / 690 = -3/23", "Add: 57 + (-3/23) = 1308/23", "Multiply: (19/9) * (1308/23) = 8284/69"], "final_answer": "8284/69", "answer_type": "rational", "kind": "expression", "math_text": "19 / 9 * (-1 - (-58) + (-90) / 690)", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (+ (- n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": 9, \"c\": -1, \"d\": -58, \"e\": -90, \"f\": 690}", "seed": "15601606673867141846", "semantic_fingerprint": "sha256:b88e8874e62cc7c0e598d2244acfdb6a034f9fd041d51394d4bcf37e64b0c854", "generator_version": "3.0"}
{"id": "v3_test_id_00005042", "prompt": "What is (-68 + (-82)) / (-47) * (-236) / (-4)?", "solution_steps": ["Add: -68 + (-82) = -150", "Divide: -150 / (-47) = 150/47", "Multiply: (150/47) * (-236) = -35400/47", "Divide: (-35400/47) / (-4) = 8850/47"], "final_answer": "8850/47", "answer_type": "rational", "kind": "expression", "math_text": "(-68 + (-82)) / (-47) * (-236) / (-4)", "variable": null, "family": "expression_4op", "shape": "(/ (* (/ (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": -82, \"c\": -47, \"d\": -236, \"e\": -4}", "seed": "17857410145456937416", "semantic_fingerprint": "sha256:6740acd9005fc2ba15daebfbca29c2e829ffca466b751fc728ea5d62f927c276", "generator_version": "3.0"}
{"id": "v3_test_id_00005043", "prompt": "Compute: 71 + (-9 - 9) / (-30 / (1 / (-37)))", "solution_steps": ["Subtract: -9 - 9 = -18", "Divide: 1 / (-37) = -1/37", "Divide: -30 / (-1/37) = 1110", "Divide: -18 / 1110 = -3/185", "Add: 71 + (-3/185) = 13132/185"], "final_answer": "13132/185", "answer_type": "rational", "kind": "expression", "math_text": "71 + (-9 - 9) / (-30 / (1 / (-37)))", "variable": null, "family": "expression_5op", "shape": "(+ n (/ (- n n) (/ n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": -9, \"c\": 9, \"d\": -30, \"e\": 1, \"f\": -37}", "seed": "16907910092167597634", "semantic_fingerprint": "sha256:6cacbcc32f33f340383dd514f07eeeadff0f67bb68250345feb707ec4b51c000", "generator_version": "3.0"}
{"id": "v3_test_id_00005044", "prompt": "What value of x satisfies 3(x + 698) - 8 = 2(x + 6) - 51?", "solution_steps": ["Expand: 3x + 2094 - 8 = 2(x + 6) - 51", "Expand: 3x + 2094 - 8 = 2x + 12 - 51", "Combine constants: 3x + 2086 = 2x + 12 - 51", "Combine constants: 3x + 2086 = 2x - 39", "Subtract 2x from both sides: x + 2086 = -39", "Subtract 2086 from both sides: x = -2125"], "final_answer": "-2125", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 698) - 8 = 2(x + 6) - 51", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 698, \"c\": 8, \"d\": 2, \"e\": 6, \"f\": 51}", "seed": "12620656869967939678", "semantic_fingerprint": "sha256:e0e952041f861236844bf440c29c6ff8c4ca4b074e0d2cb6d49444b5affd9b18", "generator_version": "3.0"}
{"id": "v3_test_id_00005045", "prompt": "Compute: (73 + 981) / (-203) - (-48)", "solution_steps": ["Add: 73 + 981 = 1054", "Divide: 1054 / (-203) = -1054/203", "Subtract: -1054/203 - (-48) = 8690/203"], "final_answer": "8690/203", "answer_type": "rational", "kind": "expression", "math_text": "(73 + 981) / (-203) - (-48)", "variable": null, "family": "expression_3op", "shape": "(- (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 981, \"c\": -203, \"d\": -48}", "seed": "9323406884487560063", "semantic_fingerprint": "sha256:f4b66d04050505181b846ad10b9959eff259bc2fa82ffae6c3fe0c6f92f40d98", "generator_version": "3.0"}
{"id": "v3_test_id_00005046", "prompt": "Solve the equation 2(x + 4) + 2 = x - 8 for x.", "solution_steps": ["Expand: 2x + 8 + 2 = x - 8", "Combine constants: 2x + 10 = x - 8", "Subtract x from both sides: x + 10 = -8", "Subtract 10 from both sides: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 4) + 2 = x - 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 4, \"c\": 2, \"e\": -8, \"x\": -18}", "seed": "947393544031772121", "semantic_fingerprint": "sha256:e4379411a8f43c8ec9361410558ce3c7a0a244597efd6687c08b2a30a8bdeb6f", "generator_version": "3.0"}
{"id": "v3_test_id_00005047", "prompt": "Find x: 11x + 78 = 9(x + 81) - 623", "solution_steps": ["Expand: 11x + 78 = 9x + 729 - 623", "Combine constants: 11x + 78 = 9x + 106", "Subtract 9x from both sides: 2x + 78 = 106", "Subtract 78 from both sides: 2x = 28", "Divide both sides by 2: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 78 = 9(x + 81) - 623", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 78, \"c\": 9, \"d\": 81, \"f\": -623, \"x\": 14}", "seed": "14346136334260141500", "semantic_fingerprint": "sha256:49db23bb234dacd5df2d44feca850883174a220a8b27aa39a672813fc147ed75", "generator_version": "3.0"}
{"id": "v3_test_id_00005048", "prompt": "Compute: 8 + 628 * (-5)", "solution_steps": ["Multiply: 628 * (-5) = -3140", "Add: 8 + (-3140) = -3132"], "final_answer": "-3132", "answer_type": "integer", "kind": "expression", "math_text": "8 + 628 * (-5)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 628, \"c\": -5}", "seed": "16511421334797348002", "semantic_fingerprint": "sha256:cb7b194a13d0d0f9b55aa85513f1e1a5ca7a7d3ce7e287fdf106b61bf5d36e97", "generator_version": "3.0"}
{"id": "v3_test_id_00005049", "prompt": "Evaluate: -776 + (-4 * (-87) + (-253 + (-46))) / (-14)", "solution_steps": ["Multiply: -4 * (-87) = 348", "Add: -253 + (-46) = -299", "Add: 348 + (-299) = 49", "Divide: 49 / (-14) = -7/2", "Add: -776 + (-7/2) = -1559/2"], "final_answer": "-1559/2", "answer_type": "rational", "kind": "expression", "math_text": "-776 + (-4 * (-87) + (-253 + (-46))) / (-14)", "variable": null, "family": "expression_5op", "shape": "(+ n (/ (+ (* n n) (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -776, \"b\": -4, \"c\": -87, \"d\": -253, \"e\": -46, \"f\": -14}", "seed": "4035910729912441723", "semantic_fingerprint": "sha256:5e5d8cd7407a3f2fa4297f130c8bf1dd08d5a3a270b50c473228e5b3185eb154", "generator_version": "3.0"}
{"id": "v3_test_id_00005050", "prompt": "Evaluate: 5 - (-4)", "solution_steps": ["Subtract: 5 - (-4) = 9"], "final_answer": "9", "answer_type": "integer", "kind": "expression", "math_text": "5 - (-4)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -4}", "seed": "3019279635392513370", "semantic_fingerprint": "sha256:af441458fed9dd136dbd4bd994aaa8275127850be17b3d9c1b60e5e38cc55ad6", "generator_version": "3.0"}
{"id": "v3_test_id_00005051", "prompt": "What value of x satisfies x + 9 = 5(x - 5) + 9?", "solution_steps": ["Expand: x + 9 = 5x - 25 + 9", "Combine constants: x + 9 = 5x - 16", "Subtract 5x from both sides: -4x + 9 = -16", "Subtract 9 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": "x + 9 = 5(x - 5) + 9", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 5, \"d\": 9}", "seed": "4114306048151997841", "semantic_fingerprint": "sha256:841b02d4b9a3b1dc2f4226033d05250f78d638851a3a2ba92ac55121e16485c1", "generator_version": "3.0"}
{"id": "v3_test_id_00005052", "prompt": "Solve the equation -3x + 36 = 5x + 229 for x.", "solution_steps": ["Subtract 5x from both sides: -8x + 36 = 229", "Subtract 36 from both sides: -8x = 193", "Divide both sides by -8: x = -193/8"], "final_answer": "-193/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3x + 36 = 5x + 229", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 36, \"c\": 5, \"d\": 229}", "seed": "4390872308137797173", "semantic_fingerprint": "sha256:6699bfda791b9d35f23ddde264d8ec35cf5651dddeb3a9308cb97ecca6569af0", "generator_version": "3.0"}
{"id": "v3_test_id_00005053", "prompt": "Compute: -2 + (-15 + 1) / (-15)", "solution_steps": ["Add: -15 + 1 = -14", "Divide: -14 / (-15) = 14/15", "Add: -2 + 14/15 = -16/15"], "final_answer": "-16/15", "answer_type": "rational", "kind": "expression", "math_text": "-2 + (-15 + 1) / (-15)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -15, \"c\": 1, \"d\": -15}", "seed": "7258300671077746037", "semantic_fingerprint": "sha256:df554df751261c0d35ebc2048047c017c1d11e44bdfe2d510ab6aaf8b8e6d4cc", "generator_version": "3.0"}
{"id": "v3_test_id_00005054", "prompt": "What value of x satisfies -7(x + 531) - 6 = 9(x + 35)?", "solution_steps": ["Expand: -7x - 3717 - 6 = 9(x + 35)", "Expand: -7x - 3717 - 6 = 9x + 315", "Combine constants: -7x - 3723 = 9x + 315", "Subtract 9x from both sides: -16x - 3723 = 315", "Add 3723 to both sides: -16x = 4038", "Divide both sides by -16: x = -2019/8"], "final_answer": "-2019/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x + 531) - 6 = 9(x + 35)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 531, \"c\": 6, \"d\": 9, \"e\": 35}", "seed": "4001073420904939822", "semantic_fingerprint": "sha256:b530c79e6e0498632dfc6d6e5b0ed484900d6400398f14d1b5b54d93e423091b", "generator_version": "3.0"}
{"id": "v3_test_id_00005055", "prompt": "Calculate: -54 * (-78) * (-4 + 1) + (-9 - (-402))", "solution_steps": ["Multiply: -54 * (-78) = 4212", "Add: -4 + 1 = -3", "Multiply: 4212 * (-3) = -12636", "Subtract: -9 - (-402) = 393", "Add: -12636 + 393 = -12243"], "final_answer": "-12243", "answer_type": "integer", "kind": "expression", "math_text": "-54 * (-78) * (-4 + 1) + (-9 - (-402))", "variable": null, "family": "expression_5op", "shape": "(+ (* (* n n) (+ n n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": -78, \"c\": -4, \"d\": 1, \"e\": -9, \"f\": -402}", "seed": "15080984462989261010", "semantic_fingerprint": "sha256:083f996224e2ce3d1ed887e110e2181a9d87f11f51fe9c0df634f305ed309e24", "generator_version": "3.0"}
{"id": "v3_test_id_00005056", "prompt": "What value of x satisfies 8(x + 339) = -3(x + 7)?", "solution_steps": ["Expand: 8x + 2712 = -3(x + 7)", "Expand: 8x + 2712 = -3x - 21", "Add 3x to both sides: 11x + 2712 = -21", "Subtract 2712 from both sides: 11x = -2733", "Divide both sides by 11: x = -2733/11"], "final_answer": "-2733/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 339) = -3(x + 7)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 339, \"c\": -3, \"d\": 7}", "seed": "3899321144120452280", "semantic_fingerprint": "sha256:053ff88f0e41c9da57ef64c09f9b28852dbd738bdbf92520155a0bff42ba6c56", "generator_version": "3.0"}
{"id": "v3_test_id_00005057", "prompt": "Compute: -6 + (-30) - (-429 - (-83) + (-484))", "solution_steps": ["Add: -6 + (-30) = -36", "Subtract: -429 - (-83) = -346", "Add: -346 + (-484) = -830", "Subtract: -36 - (-830) = 794"], "final_answer": "794", "answer_type": "integer", "kind": "expression", "math_text": "-6 + (-30) - (-429 - (-83) + (-484))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -30, \"c\": -429, \"d\": -83, \"e\": -484}", "seed": "4651462464339632128", "semantic_fingerprint": "sha256:42960607faa4b0a97c468c930e35e1ef433f8d5993925f5df30e36dfa02aadab", "generator_version": "3.0"}
{"id": "v3_test_id_00005058", "prompt": "Evaluate: 8 - (-896) + (-9)", "solution_steps": ["Subtract: 8 - (-896) = 904", "Add: 904 + (-9) = 895"], "final_answer": "895", "answer_type": "integer", "kind": "expression", "math_text": "8 - (-896) + (-9)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -896, \"c\": -9}", "seed": "7698761025477439469", "semantic_fingerprint": "sha256:e6f33ce70646d5baf1682b6484872acb68096a7bab95a6f909bafd68cc699174", "generator_version": "3.0"}
{"id": "v3_test_id_00005059", "prompt": "What value of x satisfies -10(x - 47) - 71 = x - 429?", "solution_steps": ["Expand: -10x + 470 - 71 = x - 429", "Combine constants: -10x + 399 = x - 429", "Subtract x from both sides: -11x + 399 = -429", "Subtract 399 from both sides: -11x = -828", "Divide both sides by -11: x = 828/11"], "final_answer": "828/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 47) - 71 = x - 429", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 47, \"c\": 71, \"d\": 429}", "seed": "16001200736832636464", "semantic_fingerprint": "sha256:a0629c5e5b828a4d902d418b4329ee9f351ca342619211b06626a00754fe1083", "generator_version": "3.0"}
{"id": "v3_test_id_00005060", "prompt": "Compute: 32 / ((564 - (-212) - 0 / (-6)) / (-538))", "solution_steps": ["Subtract: 564 - (-212) = 776", "Divide: 0 / (-6) = 0", "Subtract: 776 - 0 = 776", "Divide: 776 / (-538) = -388/269", "Divide: 32 / (-388/269) = -2152/97"], "final_answer": "-2152/97", "answer_type": "rational", "kind": "expression", "math_text": "32 / ((564 - (-212) - 0 / (-6)) / (-538))", "variable": null, "family": "expression_5op", "shape": "(/ n (/ (- (- n n) (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": 564, \"c\": -212, \"d\": 0, \"e\": -6, \"f\": -538}", "seed": "5162706514595632643", "semantic_fingerprint": "sha256:1540022086c16520f8aea16b723a173fdcba93e44748b156237a10aceac101c2", "generator_version": "3.0"}
{"id": "v3_test_id_00005061", "prompt": "Find x: -7(x - 7) + 21 = 12(x - 15) + 3", "solution_steps": ["Expand: -7x + 49 + 21 = 12(x - 15) + 3", "Expand: -7x + 49 + 21 = 12x - 180 + 3", "Combine constants: -7x + 70 = 12x - 180 + 3", "Combine constants: -7x + 70 = 12x - 177", "Subtract 12x from both sides: -19x + 70 = -177", "Subtract 70 from both sides: -19x = -247", "Divide both sides by -19: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 7) + 21 = 12(x - 15) + 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 7, \"c\": 21, \"d\": 12, \"e\": 15, \"g\": 3, \"x\": 13}", "seed": "8547281687754277290", "semantic_fingerprint": "sha256:90db39f3b9eb67e929ee3d9e16ac414b737225372061d8ff4676c1c80f6991be", "generator_version": "3.0"}
{"id": "v3_test_id_00005062", "prompt": "Evaluate: -391 / 763 - (-78)", "solution_steps": ["Divide: -391 / 763 = -391/763", "Subtract: -391/763 - (-78) = 59123/763"], "final_answer": "59123/763", "answer_type": "rational", "kind": "expression", "math_text": "-391 / 763 - (-78)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -391, \"b\": 763, \"c\": -78}", "seed": "15351644406887605660", "semantic_fingerprint": "sha256:5f5cae777b345f974e6a8ff9e70d84f1fd474c955b552424d2335d5077b36c97", "generator_version": "3.0"}
{"id": "v3_test_id_00005063", "prompt": "Evaluate: -9 / 3 + 38", "solution_steps": ["Divide: -9 / 3 = -3", "Add: -3 + 38 = 35"], "final_answer": "35", "answer_type": "integer", "kind": "expression", "math_text": "-9 / 3 + 38", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 3, \"c\": 38}", "seed": "12008374160277064446", "semantic_fingerprint": "sha256:9b61dc29f50632252567c25e061b096878a10e6893c83ed38a72ca354eadd967", "generator_version": "3.0"}
{"id": "v3_test_id_00005064", "prompt": "Compute: 22 + (-706)", "solution_steps": ["Add: 22 + (-706) = -684"], "final_answer": "-684", "answer_type": "integer", "kind": "expression", "math_text": "22 + (-706)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": -706}", "seed": "18141435918667572203", "semantic_fingerprint": "sha256:5452ace8f75fdd915d6dde86bd1e6e030711d01e004c518c67b935617927f066", "generator_version": "3.0"}
{"id": "v3_test_id_00005065", "prompt": "Solve the equation x = 5(x + 58) - 234 for x.", "solution_steps": ["Expand: x = 5x + 290 - 234", "Combine constants: x = 5x + 56", "Subtract 5x from both sides: -4x = 56", "Divide both sides by -4: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 5(x + 58) - 234", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 58, \"d\": -234, \"x\": -14}", "seed": "1629575553550676229", "semantic_fingerprint": "sha256:0c1ea906a841e3f85cd855bf7ef20577498d8869ecfb5ff9c8612248d1bca93e", "generator_version": "3.0"}
{"id": "v3_test_id_00005066", "prompt": "What value of x satisfies -11(x - 6) + 520 = x + 586?", "solution_steps": ["Expand: -11x + 66 + 520 = x + 586", "Combine constants: -11x + 586 = x + 586", "Subtract x from both sides: -12x + 586 = 586", "Subtract 586 from both sides: -12x = 0", "Divide both sides by -12: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 6) + 520 = x + 586", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 6, \"c\": 520, \"e\": 586, \"x\": 0}", "seed": "15177409287072264889", "semantic_fingerprint": "sha256:dfbbfe6661d01bd98c086e31c36dede8b0f86659bf825c1a052c51676e9fad4d", "generator_version": "3.0"}
{"id": "v3_test_id_00005067", "prompt": "Calculate: 922 + 0", "solution_steps": ["Add: 922 + 0 = 922"], "final_answer": "922", "answer_type": "integer", "kind": "expression", "math_text": "922 + 0", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 922, \"b\": 0}", "seed": "1803777652823513274", "semantic_fingerprint": "sha256:e6b244d9ce7f4a6df851088e7703aa3d5907924e089222ecfbfec96cfc12c294", "generator_version": "3.0"}
{"id": "v3_test_id_00005068", "prompt": "Find x: 6(x - 59) - 1 = -5x - 212", "solution_steps": ["Expand: 6x - 354 - 1 = -5x - 212", "Combine constants: 6x - 355 = -5x - 212", "Add 5x to both sides: 11x - 355 = -212", "Add 355 to both sides: 11x = 143", "Divide both sides by 11: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 59) - 1 = -5x - 212", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 59, \"c\": 1, \"d\": -5, \"f\": -212, \"x\": 13}", "seed": "8661245753650197234", "semantic_fingerprint": "sha256:26e821af679f57e8ca3eb973100c22ab0e54bedbb376fe73d8b23d91e81ed2c7", "generator_version": "3.0"}
{"id": "v3_test_id_00005069", "prompt": "Solve the equation -12(x + 7) - 634 = -3(x + 92) - 8 for x.", "solution_steps": ["Expand: -12x - 84 - 634 = -3(x + 92) - 8", "Expand: -12x - 84 - 634 = -3x - 276 - 8", "Combine constants: -12x - 718 = -3x - 276 - 8", "Combine constants: -12x - 718 = -3x - 284", "Add 3x to both sides: -9x - 718 = -284", "Add 718 to both sides: -9x = 434", "Divide both sides by -9: x = -434/9"], "final_answer": "-434/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 7) - 634 = -3(x + 92) - 8", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 7, \"c\": 634, \"d\": -3, \"e\": 92, \"f\": 8}", "seed": "17291932126929253675", "semantic_fingerprint": "sha256:89784efcdfa215b191eda1ef2c5bbadb1c9f90708505d2f384cfa0e32fd5d2d5", "generator_version": "3.0"}
{"id": "v3_test_id_00005070", "prompt": "Compute: 516 * (-954)", "solution_steps": ["Multiply: 516 * (-954) = -492264"], "final_answer": "-492264", "answer_type": "integer", "kind": "expression", "math_text": "516 * (-954)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 516, \"b\": -954}", "seed": "1748248041775129913", "semantic_fingerprint": "sha256:cfa1ee34b7278ddcb42bd45bb0993997506331edca1eabf13567b4cebfe9101e", "generator_version": "3.0"}
{"id": "v3_test_id_00005071", "prompt": "What value of x satisfies 4(x + 191) - 841 = -3x?", "solution_steps": ["Expand: 4x + 764 - 841 = -3x", "Combine constants: 4x - 77 = -3x", "Add 3x to both sides: 7x - 77 = 0", "Add 77 to both sides: 7x = 77", "Divide both sides by 7: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 191) - 841 = -3x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 191, \"c\": -3, \"e\": -841, \"x\": 11}", "seed": "11831976087085846954", "semantic_fingerprint": "sha256:57cd797150594ed2749598fe25626e9774979a6dd8f5ea4a5baad9818072b472", "generator_version": "3.0"}
{"id": "v3_test_id_00005072", "prompt": "What is -36 - (-66)?", "solution_steps": ["Subtract: -36 - (-66) = 30"], "final_answer": "30", "answer_type": "integer", "kind": "expression", "math_text": "-36 - (-66)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": -66}", "seed": "3061809292562191703", "semantic_fingerprint": "sha256:b3a1d880ddeb6de57ac23b75d3e6c09fe92b9cf954915657f127042c730aaba8", "generator_version": "3.0"}
{"id": "v3_test_id_00005073", "prompt": "Evaluate: -6 - (-702 - 78)", "solution_steps": ["Subtract: -702 - 78 = -780", "Subtract: -6 - (-780) = 774"], "final_answer": "774", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (-702 - 78)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -702, \"c\": 78}", "seed": "8060041366490426099", "semantic_fingerprint": "sha256:3e39c876c563f539aaa7e9df803649cc7a43016523750bc116ce093912b17c8c", "generator_version": "3.0"}
{"id": "v3_test_id_00005074", "prompt": "Compute: (-79 - (-27) + (-73 + 6)) / (-79)", "solution_steps": ["Subtract: -79 - (-27) = -52", "Add: -73 + 6 = -67", "Add: -52 + (-67) = -119", "Divide: -119 / (-79) = 119/79"], "final_answer": "119/79", "answer_type": "rational", "kind": "expression", "math_text": "(-79 - (-27) + (-73 + 6)) / (-79)", "variable": null, "family": "expression_4op", "shape": "(/ (+ (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": -27, \"c\": -73, \"d\": 6, \"e\": -79}", "seed": "6253275210714510414", "semantic_fingerprint": "sha256:3e1942180a903f9f31ade15a83bcd00c0561156b548368601641b73db4d32336", "generator_version": "3.0"}
{"id": "v3_test_id_00005075", "prompt": "Compute: (8 + 662) / (7 / 689) + (9 + (-597))", "solution_steps": ["Add: 8 + 662 = 670", "Divide: 7 / 689 = 7/689", "Divide: 670 / (7/689) = 461630/7", "Add: 9 + (-597) = -588", "Add: 461630/7 + (-588) = 457514/7"], "final_answer": "457514/7", "answer_type": "rational", "kind": "expression", "math_text": "(8 + 662) / (7 / 689) + (9 + (-597))", "variable": null, "family": "expression_5op", "shape": "(+ (/ (+ n n) (/ n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 662, \"c\": 7, \"d\": 689, \"e\": 9, \"f\": -597}", "seed": "165992683216446579", "semantic_fingerprint": "sha256:8d3c1e4e3c01f75eb09f2154ead4264ce527b8ee8ec7efee6f6f333225444d74", "generator_version": "3.0"}
{"id": "v3_test_id_00005076", "prompt": "Solve the equation 3(x + 53) + 60 = -4(x - 87) + 1 for x.", "solution_steps": ["Expand: 3x + 159 + 60 = -4(x - 87) + 1", "Expand: 3x + 159 + 60 = -4x + 348 + 1", "Combine constants: 3x + 219 = -4x + 348 + 1", "Combine constants: 3x + 219 = -4x + 349", "Add 4x to both sides: 7x + 219 = 349", "Subtract 219 from both sides: 7x = 130", "Divide both sides by 7: x = 130/7"], "final_answer": "130/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 53) + 60 = -4(x - 87) + 1", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 53, \"c\": 60, \"d\": -4, \"e\": 87, \"f\": 1}", "seed": "8882657216104742344", "semantic_fingerprint": "sha256:dd1d2b51dd43d507e31a185de59715c3782292a9d239612c24c4db0f9413cf9a", "generator_version": "3.0"}
{"id": "v3_test_id_00005077", "prompt": "Solve the equation 8(x + 1) + 428 = 12(x + 34) for x.", "solution_steps": ["Expand: 8x + 8 + 428 = 12(x + 34)", "Expand: 8x + 8 + 428 = 12x + 408", "Combine constants: 8x + 436 = 12x + 408", "Subtract 12x from both sides: -4x + 436 = 408", "Subtract 436 from both sides: -4x = -28", "Divide both sides by -4: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 1) + 428 = 12(x + 34)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1, \"c\": 12, \"d\": 34, \"f\": 428, \"x\": 7}", "seed": "16908175769937135193", "semantic_fingerprint": "sha256:b707c2fd80f17359ec4dd1aaebefe66f4209670e3c1a56badc3ea2c40708e4d5", "generator_version": "3.0"}
{"id": "v3_test_id_00005078", "prompt": "Compute: -7 * (-1)", "solution_steps": ["Multiply: -7 * (-1) = 7"], "final_answer": "7", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (-1)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -1}", "seed": "16312225846251982363", "semantic_fingerprint": "sha256:8d50734afaa995093954c81c7bcd1d8424e427ffe1f181e2c63c573d53b3a5d3", "generator_version": "3.0"}
{"id": "v3_test_id_00005079", "prompt": "Calculate: -7 + (-27) * (-83)", "solution_steps": ["Multiply: -27 * (-83) = 2241", "Add: -7 + 2241 = 2234"], "final_answer": "2234", "answer_type": "integer", "kind": "expression", "math_text": "-7 + (-27) * (-83)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -27, \"c\": -83}", "seed": "5292138344098927362", "semantic_fingerprint": "sha256:fdb69bac2ef9cad838add7b5580fa6f16fff9dc0c3e3ff2efafcf8b7c2e2164d", "generator_version": "3.0"}
{"id": "v3_test_id_00005080", "prompt": "What value of x satisfies 9(x - 2) + 150 = x + 188?", "solution_steps": ["Expand: 9x - 18 + 150 = x + 188", "Combine constants: 9x + 132 = x + 188", "Subtract x from both sides: 8x + 132 = 188", "Subtract 132 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 - 2) + 150 = x + 188", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"c\": 150, \"e\": 188, \"x\": 7}", "seed": "4776110710240162253", "semantic_fingerprint": "sha256:d18c61051ffda9c13695c64363f5684accc3c73978b3b71712a6e87df4347b07", "generator_version": "3.0"}
{"id": "v3_test_id_00005081", "prompt": "Find x: -2(x + 88) = -7(x - 83)", "solution_steps": ["Expand: -2x - 176 = -7(x - 83)", "Expand: -2x - 176 = -7x + 581", "Add 7x to both sides: 5x - 176 = 581", "Add 176 to both sides: 5x = 757", "Divide both sides by 5: x = 757/5"], "final_answer": "757/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x + 88) = -7(x - 83)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 88, \"c\": -7, \"d\": 83}", "seed": "16949106082138653429", "semantic_fingerprint": "sha256:5257cbfbf7d0ef6dc35862cf3f96fdcaab7065b6680146ecbf3e5ecc1b26d847", "generator_version": "3.0"}
{"id": "v3_test_id_00005082", "prompt": "Compute: 17 - (5 + 2) * 360", "solution_steps": ["Add: 5 + 2 = 7", "Multiply: 7 * 360 = 2520", "Subtract: 17 - 2520 = -2503"], "final_answer": "-2503", "answer_type": "integer", "kind": "expression", "math_text": "17 - (5 + 2) * 360", "variable": null, "family": "expression_3op", "shape": "(- n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": 5, \"c\": 2, \"d\": 360}", "seed": "6384842621777464352", "semantic_fingerprint": "sha256:3eca4be9c6450fc6373e72fdfc3252148ddd8a1b78d28e6a9b54a6d1bd9b6432", "generator_version": "3.0"}
{"id": "v3_test_id_00005083", "prompt": "Solve the equation 11x + 399 = -10x for x.", "solution_steps": ["Add 10x to both sides: 21x + 399 = 0", "Subtract 399 from both sides: 21x = -399", "Divide both sides by 21: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 399 = -10x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -10, \"d\": 399, \"x\": -19}", "seed": "281068564256732411", "semantic_fingerprint": "sha256:3668a5a5a22046bb97359bc3a9e6c110375ed6b0a98b805d9df43e97def6753c", "generator_version": "3.0"}
{"id": "v3_test_id_00005084", "prompt": "Solve for x: -8x - 95 = -6(x + 645)", "solution_steps": ["Expand: -8x - 95 = -6x - 3870", "Add 6x to both sides: -2x - 95 = -3870", "Add 95 to both sides: -2x = -3775", "Divide both sides by -2: x = 3775/2"], "final_answer": "3775/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8x - 95 = -6(x + 645)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 95, \"c\": -6, \"d\": 645}", "seed": "14241699983815176275", "semantic_fingerprint": "sha256:cb0ed44707b70366267643c944a28ba1501131e8bf61ed9c550dff33cfa1f714", "generator_version": "3.0"}
{"id": "v3_test_id_00005085", "prompt": "Evaluate: -6 + 666 - (7 - 66 + 31)", "solution_steps": ["Add: -6 + 666 = 660", "Subtract: 7 - 66 = -59", "Add: -59 + 31 = -28", "Subtract: 660 - (-28) = 688"], "final_answer": "688", "answer_type": "integer", "kind": "expression", "math_text": "-6 + 666 - (7 - 66 + 31)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 666, \"c\": 7, \"d\": 66, \"e\": 31}", "seed": "11291186570123757806", "semantic_fingerprint": "sha256:62961564bca686bae2ea9999c357d09b25de83a8ecca3bafbd36f9d8794f39c1", "generator_version": "3.0"}
{"id": "v3_test_id_00005086", "prompt": "Solve for x: -9(x + 4) = -12(x - 4) - 111", "solution_steps": ["Expand: -9x - 36 = -12(x - 4) - 111", "Expand: -9x - 36 = -12x + 48 - 111", "Combine constants: -9x - 36 = -12x - 63", "Add 12x to both sides: 3x - 36 = -63", "Add 36 to both sides: 3x = -27", "Divide both sides by 3: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 4) = -12(x - 4) - 111", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 4, \"c\": -12, \"d\": 4, \"f\": -111, \"x\": -9}", "seed": "14001882155344616940", "semantic_fingerprint": "sha256:42b1399a701de8d80c49928f9843c6f7523f03239cea1e1f8c9428d53a16ba45", "generator_version": "3.0"}
{"id": "v3_test_id_00005087", "prompt": "Compute: 7 + (-1)", "solution_steps": ["Add: 7 + (-1) = 6"], "final_answer": "6", "answer_type": "integer", "kind": "expression", "math_text": "7 + (-1)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -1}", "seed": "6602876848002328281", "semantic_fingerprint": "sha256:303ae4de182cd08b35086519f98562be03d72f2650aa875fda8d3fa6ea88f614", "generator_version": "3.0"}
{"id": "v3_test_id_00005088", "prompt": "Calculate: 0 - 82 - 44 * 0", "solution_steps": ["Subtract: 0 - 82 = -82", "Multiply: 44 * 0 = 0", "Subtract: -82 - 0 = -82"], "final_answer": "-82", "answer_type": "integer", "kind": "expression", "math_text": "0 - 82 - 44 * 0", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 82, \"c\": 44, \"d\": 0}", "seed": "7386740418823005375", "semantic_fingerprint": "sha256:fae1d4ab03e598ac56395d90d4c062b4dfb9d73e1dfae90b3489c9fd8ed8bd34", "generator_version": "3.0"}
{"id": "v3_test_id_00005089", "prompt": "Evaluate: 60 * ((-8 - 8) / (-397))", "solution_steps": ["Subtract: -8 - 8 = -16", "Divide: -16 / (-397) = 16/397", "Multiply: 60 * (16/397) = 960/397"], "final_answer": "960/397", "answer_type": "rational", "kind": "expression", "math_text": "60 * ((-8 - 8) / (-397))", "variable": null, "family": "expression_3op", "shape": "(* n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": -8, \"c\": 8, \"d\": -397}", "seed": "6224827298192420013", "semantic_fingerprint": "sha256:dafca5d24034f21454b74cf4e4e7132ee244ffc4712ea2ae0e9904b34b903c69", "generator_version": "3.0"}
{"id": "v3_test_id_00005090", "prompt": "Find x: 12x - 22 = -10x", "solution_steps": ["Add 10x to both sides: 22x - 22 = 0", "Add 22 to both sides: 22x = 22", "Divide both sides by 22: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x - 22 = -10x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -10, \"d\": -22, \"x\": 1}", "seed": "9292795332552416163", "semantic_fingerprint": "sha256:62fd495bf21fe07936a44d4ac9fe6ed54263d7d3bc33cc5fca68fd5edf43cd01", "generator_version": "3.0"}
{"id": "v3_test_id_00005091", "prompt": "Calculate: -4 + (-35)", "solution_steps": ["Add: -4 + (-35) = -39"], "final_answer": "-39", "answer_type": "integer", "kind": "expression", "math_text": "-4 + (-35)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -35}", "seed": "13551085390220499024", "semantic_fingerprint": "sha256:bee4fde680308c2b33151f0a12ffe9bef5f09b6ae35c407053eda563d7acd40a", "generator_version": "3.0"}
{"id": "v3_test_id_00005092", "prompt": "Solve for x: 6(x + 69) - 418 = 4x", "solution_steps": ["Expand: 6x + 414 - 418 = 4x", "Combine constants: 6x - 4 = 4x", "Subtract 4x from both sides: 2x - 4 = 0", "Add 4 to both sides: 2x = 4", "Divide both sides by 2: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 69) - 418 = 4x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 69, \"c\": 4, \"e\": -418, \"x\": 2}", "seed": "16440234655302180875", "semantic_fingerprint": "sha256:81c8af07527386a968104914f1199eb461112e6765a29977538460fe216f181e", "generator_version": "3.0"}
{"id": "v3_test_id_00005093", "prompt": "Evaluate: -8 - (-7) * (-157 * 2 - (-294))", "solution_steps": ["Multiply: -157 * 2 = -314", "Subtract: -314 - (-294) = -20", "Multiply: -7 * (-20) = 140", "Subtract: -8 - 140 = -148"], "final_answer": "-148", "answer_type": "integer", "kind": "expression", "math_text": "-8 - (-7) * (-157 * 2 - (-294))", "variable": null, "family": "expression_4op", "shape": "(- n (* n (- (* n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -7, \"c\": -157, \"d\": 2, \"e\": -294}", "seed": "9595983425313613003", "semantic_fingerprint": "sha256:59a09cd5e3bba482258ceb79649084b70e54357c821df99e6c15465719513141", "generator_version": "3.0"}
{"id": "v3_test_id_00005094", "prompt": "Calculate: -50 / (-538)", "solution_steps": ["Divide: -50 / (-538) = 25/269"], "final_answer": "25/269", "answer_type": "rational", "kind": "expression", "math_text": "-50 / (-538)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": -538}", "seed": "6745930090870457997", "semantic_fingerprint": "sha256:82c143a2119ad23a72f2f63bb8c292fdd4317aab29eafe4e2c47a63e306ef91c", "generator_version": "3.0"}
{"id": "v3_test_id_00005095", "prompt": "What is -87 / 14 - (6 - (-1))?", "solution_steps": ["Divide: -87 / 14 = -87/14", "Subtract: 6 - (-1) = 7", "Subtract: -87/14 - 7 = -185/14"], "final_answer": "-185/14", "answer_type": "rational", "kind": "expression", "math_text": "-87 / 14 - (6 - (-1))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": 14, \"c\": 6, \"d\": -1}", "seed": "1272984203279052607", "semantic_fingerprint": "sha256:fdbbf3336f8dce738ee1df61254a6ec45dd568d70e4ba004adb55b039e3d7319", "generator_version": "3.0"}
{"id": "v3_test_id_00005096", "prompt": "Solve for x: -9x = x - 458", "solution_steps": ["Subtract x from both sides: -10x = -458", "Divide both sides by -10: x = 229/5"], "final_answer": "229/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9x = x - 458", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 458}", "seed": "12218590276483066644", "semantic_fingerprint": "sha256:ae4ecc97a40b01f9ddc5f1fcf57791c6c00de45f822b562a004d33e4821aa52a", "generator_version": "3.0"}
{"id": "v3_test_id_00005097", "prompt": "What value of x satisfies x = -3(x + 584)?", "solution_steps": ["Expand: x = -3x - 1752", "Add 3x to both sides: 4x = -1752", "Divide both sides by 4: x = -438"], "final_answer": "-438", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -3(x + 584)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 584}", "seed": "14048709864309860398", "semantic_fingerprint": "sha256:538a7320a4ab340fdd0822cc90ebc5dcf59af1954c8f9d69741474f6f3099799", "generator_version": "3.0"}
{"id": "v3_test_id_00005098", "prompt": "Calculate: (-8 + 3) * (-1 / 79)", "solution_steps": ["Add: -8 + 3 = -5", "Divide: -1 / 79 = -1/79", "Multiply: -5 * (-1/79) = 5/79"], "final_answer": "5/79", "answer_type": "rational", "kind": "expression", "math_text": "(-8 + 3) * (-1 / 79)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 3, \"c\": -1, \"d\": 79}", "seed": "8901672509990644109", "semantic_fingerprint": "sha256:73efb3cd475ce90b9dd4cc5b2714146dc031d3063fc28eee5a81ca13956c0955", "generator_version": "3.0"}
{"id": "v3_test_id_00005099", "prompt": "Calculate: 313 * 0", "solution_steps": ["Multiply: 313 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "313 * 0", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 313, \"b\": 0}", "seed": "11562959097354850186", "semantic_fingerprint": "sha256:e7807de8aea8eb182029c0cb3a07cc7e09683b7314970182d46391a7ce69eff0", "generator_version": "3.0"}
{"id": "v3_test_id_00005100", "prompt": "What is -345 + 92 / (-6)?", "solution_steps": ["Divide: 92 / (-6) = -46/3", "Add: -345 + (-46/3) = -1081/3"], "final_answer": "-1081/3", "answer_type": "rational", "kind": "expression", "math_text": "-345 + 92 / (-6)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -345, \"b\": 92, \"c\": -6}", "seed": "13236265293444921799", "semantic_fingerprint": "sha256:8594af96efcdee9404b0b933f829067fab34b857f5c3630869e9681f4a79d5c5", "generator_version": "3.0"}
{"id": "v3_test_id_00005101", "prompt": "Solve the equation 2x - 10 = 44 for x.", "solution_steps": ["Add 10 to both sides: 2x = 54", "Divide both sides by 2: x = 27"], "final_answer": "27", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 10 = 44", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 10, \"c\": 44}", "seed": "3662919807557296484", "semantic_fingerprint": "sha256:6c140ce71bb4531def1c91abf988e3dee9f2505b3286c75a98fa741d7e787a2f", "generator_version": "3.0"}
{"id": "v3_test_id_00005102", "prompt": "Calculate: -156 / (509 + (-7))", "solution_steps": ["Add: 509 + (-7) = 502", "Divide: -156 / 502 = -78/251"], "final_answer": "-78/251", "answer_type": "rational", "kind": "expression", "math_text": "-156 / (509 + (-7))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -156, \"b\": 509, \"c\": -7}", "seed": "2271180233286946031", "semantic_fingerprint": "sha256:7d54cbdf03fb0a4b9a438be71974fd72af4f34777de32a0603cfdf1023be9aa6", "generator_version": "3.0"}
{"id": "v3_test_id_00005103", "prompt": "Solve the equation -10x = -22 for x.", "solution_steps": ["Divide both sides by -10: x = 11/5"], "final_answer": "11/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10x = -22", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": -22}", "seed": "11428132971155626363", "semantic_fingerprint": "sha256:f67f7b4c631481c64bc405bf96e2cfc3c3382731675f43a333142b7d4762222a", "generator_version": "3.0"}
{"id": "v3_test_id_00005104", "prompt": "Compute: (28 - 968) / (214 * (-3)) + 40", "solution_steps": ["Subtract: 28 - 968 = -940", "Multiply: 214 * (-3) = -642", "Divide: -940 / (-642) = 470/321", "Add: 470/321 + 40 = 13310/321"], "final_answer": "13310/321", "answer_type": "rational", "kind": "expression", "math_text": "(28 - 968) / (214 * (-3)) + 40", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": 968, \"c\": 214, \"d\": -3, \"e\": 40}", "seed": "2071369078014130764", "semantic_fingerprint": "sha256:b4892a8958f25791339f2560994d07f1873c11dd788997c8665b68a16330dfee", "generator_version": "3.0"}
{"id": "v3_test_id_00005105", "prompt": "Compute: 0 / 80", "solution_steps": ["Divide: 0 / 80 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / 80", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 80}", "seed": "18076892070417444555", "semantic_fingerprint": "sha256:bbe9a3e29117732123778cc319925760e92a0b8f60ca60fbb60e87722e914db5", "generator_version": "3.0"}
{"id": "v3_test_id_00005106", "prompt": "Evaluate: 4 - (-81) * 26 - (-94) / (-11)", "solution_steps": ["Multiply: -81 * 26 = -2106", "Subtract: 4 - (-2106) = 2110", "Divide: -94 / (-11) = 94/11", "Subtract: 2110 - 94/11 = 23116/11"], "final_answer": "23116/11", "answer_type": "rational", "kind": "expression", "math_text": "4 - (-81) * 26 - (-94) / (-11)", "variable": null, "family": "expression_4op", "shape": "(- (- n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -81, \"c\": 26, \"d\": -94, \"e\": -11}", "seed": "6158151530660030025", "semantic_fingerprint": "sha256:048726d47917874d0153cd52b9cf548ea417096a8ec41af79035577cf9b606bb", "generator_version": "3.0"}
{"id": "v3_test_id_00005107", "prompt": "Find x: -10(x + 2) - 355 = 5(x - 72)", "solution_steps": ["Expand: -10x - 20 - 355 = 5(x - 72)", "Expand: -10x - 20 - 355 = 5x - 360", "Combine constants: -10x - 375 = 5x - 360", "Subtract 5x from both sides: -15x - 375 = -360", "Add 375 to both sides: -15x = 15", "Divide both sides by -15: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x + 2) - 355 = 5(x - 72)", "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\": 72, \"f\": -355, \"x\": -1}", "seed": "5192752468322381889", "semantic_fingerprint": "sha256:dd703084e764c7b17456053509b08377fbe74700391a10a4c28e77371df976c1", "generator_version": "3.0"}
{"id": "v3_test_id_00005108", "prompt": "Calculate: (42 / 35 + 326) / (-67)", "solution_steps": ["Divide: 42 / 35 = 6/5", "Add: 6/5 + 326 = 1636/5", "Divide: (1636/5) / (-67) = -1636/335"], "final_answer": "-1636/335", "answer_type": "rational", "kind": "expression", "math_text": "(42 / 35 + 326) / (-67)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": 35, \"c\": 326, \"d\": -67}", "seed": "8808073675419185965", "semantic_fingerprint": "sha256:d744d13eea36450e1bc1a1d8c138e20fea4a281e471cd0fd3f22e60e49d24cac", "generator_version": "3.0"}
{"id": "v3_test_id_00005109", "prompt": "What is (-15 + 504) / 7?", "solution_steps": ["Add: -15 + 504 = 489", "Divide: 489 / 7 = 489/7"], "final_answer": "489/7", "answer_type": "rational", "kind": "expression", "math_text": "(-15 + 504) / 7", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": 504, \"c\": 7}", "seed": "7300271025006383012", "semantic_fingerprint": "sha256:2715c7379e853fb32898831d3336d676f1ac085cb4ab7d11502bba6c193fb54e", "generator_version": "3.0"}
{"id": "v3_test_id_00005110", "prompt": "What value of x satisfies 4x + 9 = 3x + 9?", "solution_steps": ["Subtract 3x from both sides: x + 9 = 9", "Subtract 9 from both sides: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x + 9 = 3x + 9", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 3, \"e\": 9, \"x\": 0}", "seed": "9896667232858030850", "semantic_fingerprint": "sha256:7d516c6df2a3e20db7eda1d34029ff269ba2cef1dcdaacca75c224353ea10e8a", "generator_version": "3.0"}
{"id": "v3_test_id_00005111", "prompt": "What value of x satisfies x - 7 = -7x - 95?", "solution_steps": ["Add 7x to both sides: 8x - 7 = -95", "Add 7 to both sides: 8x = -88", "Divide both sides by 8: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 7 = -7x - 95", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -7, \"d\": -95, \"x\": -11}", "seed": "8456267116038426311", "semantic_fingerprint": "sha256:111743f07fd297ff3bdd1688e62d0935d26ea8bbdf1c99fb0761af234a758b60", "generator_version": "3.0"}
{"id": "v3_test_id_00005112", "prompt": "Solve for x: -3x + 31 = 2(x - 12)", "solution_steps": ["Expand: -3x + 31 = 2x - 24", "Subtract 2x from both sides: -5x + 31 = -24", "Subtract 31 from both sides: -5x = -55", "Divide both sides by -5: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x + 31 = 2(x - 12)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 2, \"c\": 12, \"e\": 31, \"x\": 11}", "seed": "4555540336685288085", "semantic_fingerprint": "sha256:59c30dd6d7a1b0afc831e055a416b1fc90559d3f463a5beff87f1abbc181663c", "generator_version": "3.0"}
{"id": "v3_test_id_00005113", "prompt": "What value of x satisfies 5x - 9 = x + 9?", "solution_steps": ["Subtract x from both sides: 4x - 9 = 9", "Add 9 to both sides: 4x = 18", "Divide both sides by 4: x = 9/2"], "final_answer": "9/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x - 9 = x + 9", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 9, \"c\": 9}", "seed": "5285203695164037328", "semantic_fingerprint": "sha256:6b3194358990f14a88f69c4afc875b3b6e8d682623298f79c77b59fd5fa78726", "generator_version": "3.0"}
{"id": "v3_test_id_00005114", "prompt": "Compute: (-74 + (807 + 6)) * (214 + (-6) * (-96))", "solution_steps": ["Add: 807 + 6 = 813", "Add: -74 + 813 = 739", "Multiply: -6 * (-96) = 576", "Add: 214 + 576 = 790", "Multiply: 739 * 790 = 583810"], "final_answer": "583810", "answer_type": "integer", "kind": "expression", "math_text": "(-74 + (807 + 6)) * (214 + (-6) * (-96))", "variable": null, "family": "expression_5op", "shape": "(* (+ n (+ n n)) (+ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -74, \"b\": 807, \"c\": 6, \"d\": 214, \"e\": -6, \"f\": -96}", "seed": "5385397662230791994", "semantic_fingerprint": "sha256:46aed5844d7752b6373b27e43b9906a8660bf6e3aadd73ee2b58aafb05ea4a90", "generator_version": "3.0"}
{"id": "v3_test_id_00005115", "prompt": "Evaluate: -24 * (-28) - (-207)", "solution_steps": ["Multiply: -24 * (-28) = 672", "Subtract: 672 - (-207) = 879"], "final_answer": "879", "answer_type": "integer", "kind": "expression", "math_text": "-24 * (-28) - (-207)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": -28, \"c\": -207}", "seed": "5886979135933616999", "semantic_fingerprint": "sha256:3cf090bbc9f9b199b666dc0baa418bff0d8b8e2ed81b8f061bb1b3fe4e279536", "generator_version": "3.0"}
{"id": "v3_test_id_00005116", "prompt": "Solve the equation 2x + 23 = 6(x - 7) + 13 for x.", "solution_steps": ["Expand: 2x + 23 = 6x - 42 + 13", "Combine constants: 2x + 23 = 6x - 29", "Subtract 6x from both sides: -4x + 23 = -29", "Subtract 23 from both sides: -4x = -52", "Divide both sides by -4: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x + 23 = 6(x - 7) + 13", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 23, \"c\": 6, \"d\": 7, \"f\": 13, \"x\": 13}", "seed": "3978855223833912231", "semantic_fingerprint": "sha256:e6dff939f7ec928ffeb8dccdbfa006755105eb7a9d5adc6de695096974915c56", "generator_version": "3.0"}
{"id": "v3_test_id_00005117", "prompt": "Calculate: -9 - (3 - 94)", "solution_steps": ["Subtract: 3 - 94 = -91", "Subtract: -9 - (-91) = 82"], "final_answer": "82", "answer_type": "integer", "kind": "expression", "math_text": "-9 - (3 - 94)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 3, \"c\": 94}", "seed": "2843775857515907813", "semantic_fingerprint": "sha256:7821312b08c73e153f4a8a2a45fad7d4e2f826e1dcda57c0c521071a81c3f9c8", "generator_version": "3.0"}
{"id": "v3_test_id_00005118", "prompt": "What is 2 + (459 - (-809))?", "solution_steps": ["Subtract: 459 - (-809) = 1268", "Add: 2 + 1268 = 1270"], "final_answer": "1270", "answer_type": "integer", "kind": "expression", "math_text": "2 + (459 - (-809))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 459, \"c\": -809}", "seed": "12424147594279680207", "semantic_fingerprint": "sha256:0860ebdc619a8a9e5871528556d4a3627af08bb1351b0cfc6cfc5608b473bec7", "generator_version": "3.0"}
{"id": "v3_test_id_00005119", "prompt": "Find x: 8x + 502 = 2(x + 308)", "solution_steps": ["Expand: 8x + 502 = 2x + 616", "Subtract 2x from both sides: 6x + 502 = 616", "Subtract 502 from both sides: 6x = 114", "Divide both sides by 6: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x + 502 = 2(x + 308)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 2, \"c\": 308, \"e\": 502, \"x\": 19}", "seed": "3659994754564873576", "semantic_fingerprint": "sha256:9e7be9e774cbc5201f98ee9ceab4a42084246357b33c956ae1ad83a512fae650", "generator_version": "3.0"}
{"id": "v3_test_id_00005120", "prompt": "Solve the equation 11(x + 4) + 5 = 5 for x.", "solution_steps": ["Expand: 11x + 44 + 5 = 5", "Combine constants: 11x + 49 = 5", "Subtract 49 from both sides: 11x = -44", "Divide both sides by 11: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 4) + 5 = 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": 5, \"e\": 5, \"x\": -4}", "seed": "5658288425982209904", "semantic_fingerprint": "sha256:02d43eb75ce1cc186620b9cbaf7eda118a8978c45d4b21917a4d35cd8089eaa6", "generator_version": "3.0"}
{"id": "v3_test_id_00005121", "prompt": "Solve the equation -9(x + 2) = -4(x - 6) for x.", "solution_steps": ["Expand: -9x - 18 = -4(x - 6)", "Expand: -9x - 18 = -4x + 24", "Add 4x to both sides: -5x - 18 = 24", "Add 18 to both sides: -5x = 42", "Divide both sides by -5: x = -42/5"], "final_answer": "-42/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 2) = -4(x - 6)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 2, \"c\": -4, \"d\": 6}", "seed": "4090321652094398159", "semantic_fingerprint": "sha256:e9a58680fd6b7f20428c45a33f2a80726e1fc495902db01621fa44876f22a028", "generator_version": "3.0"}
{"id": "v3_test_id_00005122", "prompt": "Compute: -76 / (-2) * 9", "solution_steps": ["Divide: -76 / (-2) = 38", "Multiply: 38 * 9 = 342"], "final_answer": "342", "answer_type": "integer", "kind": "expression", "math_text": "-76 / (-2) * 9", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": -2, \"c\": 9}", "seed": "6449184843957446231", "semantic_fingerprint": "sha256:f446437021b365648898e40481a5c7606d7908a67b85a05d045b47924d7c8872", "generator_version": "3.0"}
{"id": "v3_test_id_00005123", "prompt": "What value of x satisfies 3x - 2 = x - 20?", "solution_steps": ["Subtract x 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": "3x - 2 = x - 20", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"d\": -20, \"x\": -9}", "seed": "6217989874635915364", "semantic_fingerprint": "sha256:36f6e7115c19ac44f1ca9a3454715ac613de61e864a530c0eb7bbd93c1d96fde", "generator_version": "3.0"}
{"id": "v3_test_id_00005124", "prompt": "Compute: -269 * (200 / (-468 - (-37)))", "solution_steps": ["Subtract: -468 - (-37) = -431", "Divide: 200 / (-431) = -200/431", "Multiply: -269 * (-200/431) = 53800/431"], "final_answer": "53800/431", "answer_type": "rational", "kind": "expression", "math_text": "-269 * (200 / (-468 - (-37)))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -269, \"b\": 200, \"c\": -468, \"d\": -37}", "seed": "7663863022960945193", "semantic_fingerprint": "sha256:e7d35a2476644dd8339c5a3338b1148b73334c6cb4d46c76543fa63611799a1d", "generator_version": "3.0"}
{"id": "v3_test_id_00005125", "prompt": "Calculate: -57 - (-79) - (-2 + 32)", "solution_steps": ["Subtract: -57 - (-79) = 22", "Add: -2 + 32 = 30", "Subtract: 22 - 30 = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "expression", "math_text": "-57 - (-79) - (-2 + 32)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": -79, \"c\": -2, \"d\": 32}", "seed": "12358716194123411704", "semantic_fingerprint": "sha256:4b5461226d62e78f3d3efc5c59f69f76de8da40f312828ab537eae8beca7ead1", "generator_version": "3.0"}
{"id": "v3_test_id_00005126", "prompt": "What is 9 * (-6 + 5)?", "solution_steps": ["Add: -6 + 5 = -1", "Multiply: 9 * (-1) = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "expression", "math_text": "9 * (-6 + 5)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -6, \"c\": 5}", "seed": "16840486098712640437", "semantic_fingerprint": "sha256:2513e2f5f883ca770ec7c621e7b2eac72310155a1f4a63a2f6ee5756cfa89406", "generator_version": "3.0"}
{"id": "v3_test_id_00005127", "prompt": "Solve the equation x - 450 = -5(x + 72) for x.", "solution_steps": ["Expand: x - 450 = -5x - 360", "Add 5x to both sides: 6x - 450 = -360", "Add 450 to both sides: 6x = 90", "Divide both sides by 6: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 450 = -5(x + 72)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 72, \"d\": -450, \"x\": 15}", "seed": "11493149495485802688", "semantic_fingerprint": "sha256:e494c72fe5569ed887ea04713353db39a5caa512b860ca0a0c5d29d7e705468d", "generator_version": "3.0"}
{"id": "v3_test_id_00005128", "prompt": "Compute: 5 - (-94 - (-8)) + (-220)", "solution_steps": ["Subtract: -94 - (-8) = -86", "Subtract: 5 - (-86) = 91", "Add: 91 + (-220) = -129"], "final_answer": "-129", "answer_type": "integer", "kind": "expression", "math_text": "5 - (-94 - (-8)) + (-220)", "variable": null, "family": "expression_3op", "shape": "(+ (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -94, \"c\": -8, \"d\": -220}", "seed": "5878478425234539056", "semantic_fingerprint": "sha256:a6b86d1d6e8621b71efac150fa1a32d30225fd59f4bf8dbe407d87e57c00f174", "generator_version": "3.0"}
{"id": "v3_test_id_00005129", "prompt": "Evaluate: -55 - (-4 + (-457 + (-5)))", "solution_steps": ["Add: -457 + (-5) = -462", "Add: -4 + (-462) = -466", "Subtract: -55 - (-466) = 411"], "final_answer": "411", "answer_type": "integer", "kind": "expression", "math_text": "-55 - (-4 + (-457 + (-5)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": -4, \"c\": -457, \"d\": -5}", "seed": "9336108944207568096", "semantic_fingerprint": "sha256:9af83c97e1e5725c5cf64864bbda87f12caf21e39855cdd64924597d218f41fb", "generator_version": "3.0"}
{"id": "v3_test_id_00005130", "prompt": "What is -59 / (-1 - (-4))?", "solution_steps": ["Subtract: -1 - (-4) = 3", "Divide: -59 / 3 = -59/3"], "final_answer": "-59/3", "answer_type": "rational", "kind": "expression", "math_text": "-59 / (-1 - (-4))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": -1, \"c\": -4}", "seed": "17957395086987913068", "semantic_fingerprint": "sha256:ad11b19f7ac5ff8fea7a38be3354f076c08418765b29bc37f9291928c7046b8b", "generator_version": "3.0"}
{"id": "v3_test_id_00005131", "prompt": "Solve for x: -3(x + 54) = x - 42", "solution_steps": ["Expand: -3x - 162 = x - 42", "Subtract x from both sides: -4x - 162 = -42", "Add 162 to both sides: -4x = 120", "Divide both sides by -4: x = -30"], "final_answer": "-30", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 54) = x - 42", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 54, \"c\": 42}", "seed": "11994794554510714767", "semantic_fingerprint": "sha256:981b56d14e9441937ece8434750b8823b32dbea477c74aafdf5dd3d89314d324", "generator_version": "3.0"}
{"id": "v3_test_id_00005132", "prompt": "Compute: 11 / (-3)", "solution_steps": ["Divide: 11 / (-3) = -11/3"], "final_answer": "-11/3", "answer_type": "rational", "kind": "expression", "math_text": "11 / (-3)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -3}", "seed": "9520126169607638554", "semantic_fingerprint": "sha256:883ec38299851a15b099ab90b6ca1483fa317da325b3669963f00cf1cdfa7bd5", "generator_version": "3.0"}
{"id": "v3_test_id_00005133", "prompt": "Evaluate: 707 + (-31 + (-17 - (-648)))", "solution_steps": ["Subtract: -17 - (-648) = 631", "Add: -31 + 631 = 600", "Add: 707 + 600 = 1307"], "final_answer": "1307", "answer_type": "integer", "kind": "expression", "math_text": "707 + (-31 + (-17 - (-648)))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 707, \"b\": -31, \"c\": -17, \"d\": -648}", "seed": "4463903646165667311", "semantic_fingerprint": "sha256:290c0d76962be21b9d6f75d39975d296ae7ac816a968b3b00fd643acbe669ef4", "generator_version": "3.0"}
{"id": "v3_test_id_00005134", "prompt": "Find x: -6(x + 7) = 0", "solution_steps": ["Expand: -6x - 42 = 0", "Add 42 to both sides: -6x = 42", "Divide both sides by -6: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 7) = 0", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 7, \"c\": 0}", "seed": "15376292210833956671", "semantic_fingerprint": "sha256:8dcf5067b2a5aadb4b7f608be55b4659445a8933249fc30e861dbe61d84bf009", "generator_version": "3.0"}
{"id": "v3_test_id_00005135", "prompt": "Compute: -710 / 849", "solution_steps": ["Divide: -710 / 849 = -710/849"], "final_answer": "-710/849", "answer_type": "rational", "kind": "expression", "math_text": "-710 / 849", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -710, \"b\": 849}", "seed": "5278293420491249740", "semantic_fingerprint": "sha256:5bf9ffc0193e4315b6a994e5238e4ccaccfedac0cd9414355ce4c1ea414d36a5", "generator_version": "3.0"}
{"id": "v3_test_id_00005136", "prompt": "What is 0 + (1 - 5)?", "solution_steps": ["Subtract: 1 - 5 = -4", "Add: 0 + (-4) = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "expression", "math_text": "0 + (1 - 5)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 1, \"c\": 5}", "seed": "12290074587983008500", "semantic_fingerprint": "sha256:3fc9ba286d3bd1350d498842d415bd517a728b3b0973bb736faabc3e0ebe529e", "generator_version": "3.0"}
{"id": "v3_test_id_00005137", "prompt": "What is -13 * 1?", "solution_steps": ["Multiply: -13 * 1 = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "expression", "math_text": "-13 * 1", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": 1}", "seed": "1612970887599495426", "semantic_fingerprint": "sha256:d4399c0da56f285016e53ec819ec3f42a05dc27e61e3e7f04bce10fd6a7a4f76", "generator_version": "3.0"}
{"id": "v3_test_id_00005138", "prompt": "Calculate: 98 / (-19) / 55", "solution_steps": ["Divide: 98 / (-19) = -98/19", "Divide: (-98/19) / 55 = -98/1045"], "final_answer": "-98/1045", "answer_type": "rational", "kind": "expression", "math_text": "98 / (-19) / 55", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": -19, \"c\": 55}", "seed": "13197470943623066671", "semantic_fingerprint": "sha256:0586e956f9368b7814f2814c3f0bf365d8a1c22dc2859846f0316e7988928631", "generator_version": "3.0"}
{"id": "v3_test_id_00005139", "prompt": "What value of x satisfies 3x - 4 = x?", "solution_steps": ["Subtract x from both sides: 2x - 4 = 0", "Add 4 to both sides: 2x = 4", "Divide both sides by 2: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 4 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 4}", "seed": "5296353817270752652", "semantic_fingerprint": "sha256:6cb9a5e2ffc3541269b2ac637e5fc7d99f18c1aa7129a0dff0434a7834dac2a3", "generator_version": "3.0"}
{"id": "v3_test_id_00005140", "prompt": "Solve the equation 12(x - 92) + 453 = x - 871 for x.", "solution_steps": ["Expand: 12x - 1104 + 453 = x - 871", "Combine constants: 12x - 651 = x - 871", "Subtract x from both sides: 11x - 651 = -871", "Add 651 to both sides: 11x = -220", "Divide both sides by 11: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 92) + 453 = x - 871", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 92, \"c\": 453, \"e\": -871, \"x\": -20}", "seed": "6726551805603647116", "semantic_fingerprint": "sha256:0184a8b569db2d06c7e488cf1f8bb7ab421926b4006d2fcbab4405ccd64997c7", "generator_version": "3.0"}
{"id": "v3_test_id_00005141", "prompt": "What is -22 + (-17 + (-8))?", "solution_steps": ["Add: -17 + (-8) = -25", "Add: -22 + (-25) = -47"], "final_answer": "-47", "answer_type": "integer", "kind": "expression", "math_text": "-22 + (-17 + (-8))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": -17, \"c\": -8}", "seed": "8233119452574474793", "semantic_fingerprint": "sha256:57decbd875c8dc322a38b7f2be75e37b48ec962dc77ca1b631a2813ecbdb51ff", "generator_version": "3.0"}
{"id": "v3_test_id_00005142", "prompt": "What is -52 / (-2 / (-98 * (-66) / (41 - (-41))))?", "solution_steps": ["Multiply: -98 * (-66) = 6468", "Subtract: 41 - (-41) = 82", "Divide: 6468 / 82 = 3234/41", "Divide: -2 / (3234/41) = -41/1617", "Divide: -52 / (-41/1617) = 84084/41"], "final_answer": "84084/41", "answer_type": "rational", "kind": "expression", "math_text": "-52 / (-2 / (-98 * (-66) / (41 - (-41))))", "variable": null, "family": "expression_5op", "shape": "(/ n (/ n (/ (* n n) (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": -2, \"c\": -98, \"d\": -66, \"e\": 41, \"f\": -41}", "seed": "10662689351761958060", "semantic_fingerprint": "sha256:b16111246f14ea253e68784ba15287be4ccb5ee473d7382a43cea909a0f3a7e2", "generator_version": "3.0"}
{"id": "v3_test_id_00005143", "prompt": "Solve for x: x + 5 = 4(x - 54) + 278", "solution_steps": ["Expand: x + 5 = 4x - 216 + 278", "Combine constants: x + 5 = 4x + 62", "Subtract 4x from both sides: -3x + 5 = 62", "Subtract 5 from both sides: -3x = 57", "Divide both sides by -3: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5 = 4(x - 54) + 278", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 4, \"c\": 54, \"e\": 278, \"x\": -19}", "seed": "10577001351536982275", "semantic_fingerprint": "sha256:85cad2fb2268a7cec9394f949069dc78374255c84b014e7aee4e4f9c94184ab2", "generator_version": "3.0"}
{"id": "v3_test_id_00005144", "prompt": "Solve the equation -5(x - 124) = -12(x + 3) + 4 for x.", "solution_steps": ["Expand: -5x + 620 = -12(x + 3) + 4", "Expand: -5x + 620 = -12x - 36 + 4", "Combine constants: -5x + 620 = -12x - 32", "Add 12x to both sides: 7x + 620 = -32", "Subtract 620 from both sides: 7x = -652", "Divide both sides by 7: x = -652/7"], "final_answer": "-652/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 124) = -12(x + 3) + 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 124, \"c\": -12, \"d\": 3, \"e\": 4}", "seed": "9067213948215681130", "semantic_fingerprint": "sha256:d7e5ab7cc66790d48d782df772f4be8f955aa3d9caf32322f5be9e2f94493d02", "generator_version": "3.0"}
{"id": "v3_test_id_00005145", "prompt": "What value of x satisfies -10(x - 93) - 845 = 7x?", "solution_steps": ["Expand: -10x + 930 - 845 = 7x", "Combine constants: -10x + 85 = 7x", "Subtract 7x from both sides: -17x + 85 = 0", "Subtract 85 from both sides: -17x = -85", "Divide both sides by -17: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 93) - 845 = 7x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 93, \"c\": 7, \"e\": -845, \"x\": 5}", "seed": "12748528532475986342", "semantic_fingerprint": "sha256:46e63ed0eb97ea84c641f6a237534ffd29d6e77ebb7c5cbfb3da28b52e5f254d", "generator_version": "3.0"}
{"id": "v3_test_id_00005146", "prompt": "Evaluate: -685 + (455 - 15) * (-69)", "solution_steps": ["Subtract: 455 - 15 = 440", "Multiply: 440 * (-69) = -30360", "Add: -685 + (-30360) = -31045"], "final_answer": "-31045", "answer_type": "integer", "kind": "expression", "math_text": "-685 + (455 - 15) * (-69)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -685, \"b\": 455, \"c\": 15, \"d\": -69}", "seed": "5396591621367869924", "semantic_fingerprint": "sha256:a49cc16c0da43182100a40d035905a26fa3007df54e086623cae41ba0af6c5b9", "generator_version": "3.0"}
{"id": "v3_test_id_00005147", "prompt": "Evaluate: 92 + (91 - 879) - 34", "solution_steps": ["Subtract: 91 - 879 = -788", "Add: 92 + (-788) = -696", "Subtract: -696 - 34 = -730"], "final_answer": "-730", "answer_type": "integer", "kind": "expression", "math_text": "92 + (91 - 879) - 34", "variable": null, "family": "expression_3op", "shape": "(- (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": 91, \"c\": 879, \"d\": 34}", "seed": "11221297923082152568", "semantic_fingerprint": "sha256:8c5203a0fc85cdc11c8206bfea8a44361e3480dbf1d1b2b41e8d5171c9d7bcd8", "generator_version": "3.0"}
{"id": "v3_test_id_00005148", "prompt": "Calculate: (-222 - (-6)) * 390 - (-28)", "solution_steps": ["Subtract: -222 - (-6) = -216", "Multiply: -216 * 390 = -84240", "Subtract: -84240 - (-28) = -84212"], "final_answer": "-84212", "answer_type": "integer", "kind": "expression", "math_text": "(-222 - (-6)) * 390 - (-28)", "variable": null, "family": "expression_3op", "shape": "(- (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -222, \"b\": -6, \"c\": 390, \"d\": -28}", "seed": "9091136020353990419", "semantic_fingerprint": "sha256:c8e0fb0e00744f3ddc74b38aced3323673caf7447e12ca5c9c783b6a1adfdc8a", "generator_version": "3.0"}
{"id": "v3_test_id_00005149", "prompt": "Compute: -79 * ((8 + 7) * 43) / (-67)", "solution_steps": ["Add: 8 + 7 = 15", "Multiply: 15 * 43 = 645", "Multiply: -79 * 645 = -50955", "Divide: -50955 / (-67) = 50955/67"], "final_answer": "50955/67", "answer_type": "rational", "kind": "expression", "math_text": "-79 * ((8 + 7) * 43) / (-67)", "variable": null, "family": "expression_4op", "shape": "(/ (* n (* (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": 8, \"c\": 7, \"d\": 43, \"e\": -67}", "seed": "254438919941074719", "semantic_fingerprint": "sha256:24ee35b6010c2353a9db64fdaa86c76062aaf5314a0195b8b844af2f95f3264d", "generator_version": "3.0"}
{"id": "v3_test_id_00005150", "prompt": "What is 93 / (443 - 25) * 63?", "solution_steps": ["Subtract: 443 - 25 = 418", "Divide: 93 / 418 = 93/418", "Multiply: (93/418) * 63 = 5859/418"], "final_answer": "5859/418", "answer_type": "rational", "kind": "expression", "math_text": "93 / (443 - 25) * 63", "variable": null, "family": "expression_3op", "shape": "(* (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": 443, \"c\": 25, \"d\": 63}", "seed": "5422698156381432632", "semantic_fingerprint": "sha256:8c8d61a4953b3e2fcd7494c24f13c88047ad7359b0d029f77711f165efc388fc", "generator_version": "3.0"}
{"id": "v3_test_id_00005151", "prompt": "Evaluate: -730 - (-48 + (-89))", "solution_steps": ["Add: -48 + (-89) = -137", "Subtract: -730 - (-137) = -593"], "final_answer": "-593", "answer_type": "integer", "kind": "expression", "math_text": "-730 - (-48 + (-89))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -730, \"b\": -48, \"c\": -89}", "seed": "16747699883919364132", "semantic_fingerprint": "sha256:71f81487c435e430969bd0376eb37c6b5d049da76ddf3d14f47272275047329d", "generator_version": "3.0"}
{"id": "v3_test_id_00005152", "prompt": "What value of x satisfies -4x = -60?", "solution_steps": ["Divide both sides by -4: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x = -60", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"c\": -60, \"x\": 15}", "seed": "8218073693060295118", "semantic_fingerprint": "sha256:93092aca785310a7b49726ebf1da7c96e6b8d7027f1e9e5827c9574bb9c9097b", "generator_version": "3.0"}
{"id": "v3_test_id_00005153", "prompt": "What is -33 * 5?", "solution_steps": ["Multiply: -33 * 5 = -165"], "final_answer": "-165", "answer_type": "integer", "kind": "expression", "math_text": "-33 * 5", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": 5}", "seed": "1833827112422816157", "semantic_fingerprint": "sha256:5b4908fb3838242ad7bbb9e5a43e00f18998ae634e9637debbe88092a24515d6", "generator_version": "3.0"}
{"id": "v3_test_id_00005154", "prompt": "What is (-9 + (-16) * 369) / (-9 - (-7))?", "solution_steps": ["Multiply: -16 * 369 = -5904", "Add: -9 + (-5904) = -5913", "Subtract: -9 - (-7) = -2", "Divide: -5913 / (-2) = 5913/2"], "final_answer": "5913/2", "answer_type": "rational", "kind": "expression", "math_text": "(-9 + (-16) * 369) / (-9 - (-7))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (* n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -16, \"c\": 369, \"d\": -9, \"e\": -7}", "seed": "5570646701156578176", "semantic_fingerprint": "sha256:acac47a9565c0901c95738c448079b3e547247d7cd787bbc6cf7284fa742bade", "generator_version": "3.0"}
{"id": "v3_test_id_00005155", "prompt": "Solve for x: 8x - 19 = 5(x + 23)", "solution_steps": ["Expand: 8x - 19 = 5x + 115", "Subtract 5x from both sides: 3x - 19 = 115", "Add 19 to both sides: 3x = 134", "Divide both sides by 3: x = 134/3"], "final_answer": "134/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x - 19 = 5(x + 23)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 19, \"c\": 5, \"d\": 23}", "seed": "9944862499462734283", "semantic_fingerprint": "sha256:d1bbb61a878d86d9ad80c74274f13a39490c5033e7560bad7582d17b6f700025", "generator_version": "3.0"}
{"id": "v3_test_id_00005156", "prompt": "Compute: -7 * 3 - 9 - (7 + (-19))", "solution_steps": ["Multiply: -7 * 3 = -21", "Subtract: -21 - 9 = -30", "Add: 7 + (-19) = -12", "Subtract: -30 - (-12) = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "expression", "math_text": "-7 * 3 - 9 - (7 + (-19))", "variable": null, "family": "expression_4op", "shape": "(- (- (* n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 3, \"c\": 9, \"d\": 7, \"e\": -19}", "seed": "17401498290964829656", "semantic_fingerprint": "sha256:a586db08e044168594c8f273b2d1c425022fd7a737d33625840f1059943c1622", "generator_version": "3.0"}
{"id": "v3_test_id_00005157", "prompt": "Compute: -51 + (-98 + 8) + 6", "solution_steps": ["Add: -98 + 8 = -90", "Add: -51 + (-90) = -141", "Add: -141 + 6 = -135"], "final_answer": "-135", "answer_type": "integer", "kind": "expression", "math_text": "-51 + (-98 + 8) + 6", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": -98, \"c\": 8, \"d\": 6}", "seed": "8371960105640687621", "semantic_fingerprint": "sha256:70c0ac9ec9931c4d3c08efb9014ca77bb17772749151bf62a5ca58cddc5e27ec", "generator_version": "3.0"}
{"id": "v3_test_id_00005158", "prompt": "Solve the equation 2(x - 15) = 5(x + 4) - 2 for x.", "solution_steps": ["Expand: 2x - 30 = 5(x + 4) - 2", "Expand: 2x - 30 = 5x + 20 - 2", "Combine constants: 2x - 30 = 5x + 18", "Subtract 5x from both sides: -3x - 30 = 18", "Add 30 to both sides: -3x = 48", "Divide both sides by -3: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 15) = 5(x + 4) - 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 15, \"c\": 5, \"d\": 4, \"f\": -2, \"x\": -16}", "seed": "3879401052178694252", "semantic_fingerprint": "sha256:1f38d41c1a218f86e0ffe3737ad091807d8e9938511b53f25ba54766035f0877", "generator_version": "3.0"}
{"id": "v3_test_id_00005159", "prompt": "What is (48 - 8) * (824 - (-8)) / (-37)?", "solution_steps": ["Subtract: 48 - 8 = 40", "Subtract: 824 - (-8) = 832", "Multiply: 40 * 832 = 33280", "Divide: 33280 / (-37) = -33280/37"], "final_answer": "-33280/37", "answer_type": "rational", "kind": "expression", "math_text": "(48 - 8) * (824 - (-8)) / (-37)", "variable": null, "family": "expression_4op", "shape": "(/ (* (- n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 48, \"b\": 8, \"c\": 824, \"d\": -8, \"e\": -37}", "seed": "2105528393024994493", "semantic_fingerprint": "sha256:6c45179515b60f96291caa61fa62e8a3e7d75da72085b604c665de60ff46e1bd", "generator_version": "3.0"}
{"id": "v3_test_id_00005160", "prompt": "Calculate: -6 * (-4) / ((0 - 252 / (-385)) / (-196))", "solution_steps": ["Multiply: -6 * (-4) = 24", "Divide: 252 / (-385) = -36/55", "Subtract: 0 - (-36/55) = 36/55", "Divide: (36/55) / (-196) = -9/2695", "Divide: 24 / (-9/2695) = -21560/3"], "final_answer": "-21560/3", "answer_type": "rational", "kind": "expression", "math_text": "-6 * (-4) / ((0 - 252 / (-385)) / (-196))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (/ (- n (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -4, \"c\": 0, \"d\": 252, \"e\": -385, \"f\": -196}", "seed": "4349455633644415431", "semantic_fingerprint": "sha256:83a38a8a7d27540b0edfb05bdbeb16d163751c4bd4dac9838843ae3b4d048139", "generator_version": "3.0"}
{"id": "v3_test_id_00005161", "prompt": "Solve for x: 3(x - 5) - 5 = -12(x + 4) + 72", "solution_steps": ["Expand: 3x - 15 - 5 = -12(x + 4) + 72", "Expand: 3x - 15 - 5 = -12x - 48 + 72", "Combine constants: 3x - 20 = -12x - 48 + 72", "Combine constants: 3x - 20 = -12x + 24", "Add 12x to both sides: 15x - 20 = 24", "Add 20 to both sides: 15x = 44", "Divide both sides by 15: x = 44/15"], "final_answer": "44/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 5) - 5 = -12(x + 4) + 72", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 5, \"c\": 5, \"d\": -12, \"e\": 4, \"f\": 72}", "seed": "6460310120937043147", "semantic_fingerprint": "sha256:fc5c244d892203759363428b1e2295f59a201105271635a570f1b8a733214f89", "generator_version": "3.0"}
{"id": "v3_test_id_00005162", "prompt": "What value of x satisfies 8(x + 92) + 408 = -9(x + 742)?", "solution_steps": ["Expand: 8x + 736 + 408 = -9(x + 742)", "Expand: 8x + 736 + 408 = -9x - 6678", "Combine constants: 8x + 1144 = -9x - 6678", "Add 9x to both sides: 17x + 1144 = -6678", "Subtract 1144 from both sides: 17x = -7822", "Divide both sides by 17: x = -7822/17"], "final_answer": "-7822/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 92) + 408 = -9(x + 742)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 92, \"c\": 408, \"d\": -9, \"e\": 742}", "seed": "17173340359630868887", "semantic_fingerprint": "sha256:e7677fa982e50ad66c1830636c8ee4b29824ea39cfb2de69126b4014e1fc2b6a", "generator_version": "3.0"}
{"id": "v3_test_id_00005163", "prompt": "What value of x satisfies 11x - 7 = -7(x - 82) + 7?", "solution_steps": ["Expand: 11x - 7 = -7x + 574 + 7", "Combine constants: 11x - 7 = -7x + 581", "Add 7x to both sides: 18x - 7 = 581", "Add 7 to both sides: 18x = 588", "Divide both sides by 18: x = 98/3"], "final_answer": "98/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x - 7 = -7(x - 82) + 7", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 7, \"c\": -7, \"d\": 82, \"e\": 7}", "seed": "11107238304325501267", "semantic_fingerprint": "sha256:c93be887d801f9b667b5503643fa7179cbd8c4cb66879b19bf32f3d3ed2448e9", "generator_version": "3.0"}
{"id": "v3_test_id_00005164", "prompt": "Compute: 0 * (-32) - (-8)", "solution_steps": ["Multiply: 0 * (-32) = 0", "Subtract: 0 - (-8) = 8"], "final_answer": "8", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-32) - (-8)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -32, \"c\": -8}", "seed": "2228687332844133752", "semantic_fingerprint": "sha256:24e689a4bcf92a37faaad4a66905e155db0d28bdfbc2e869b22e9be9aef0ac01", "generator_version": "3.0"}
{"id": "v3_test_id_00005165", "prompt": "Evaluate: 3 + (-607)", "solution_steps": ["Add: 3 + (-607) = -604"], "final_answer": "-604", "answer_type": "integer", "kind": "expression", "math_text": "3 + (-607)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -607}", "seed": "10035944029518645653", "semantic_fingerprint": "sha256:6eed7a824a684967a685d1e1cc773128d6ef103a13e22a7fb330ec2abf1476ca", "generator_version": "3.0"}
{"id": "v3_test_id_00005166", "prompt": "Find x: -10(x + 1) - 443 = -3x + 3", "solution_steps": ["Expand: -10x - 10 - 443 = -3x + 3", "Combine constants: -10x - 453 = -3x + 3", "Add 3x to both sides: -7x - 453 = 3", "Add 453 to both sides: -7x = 456", "Divide both sides by -7: x = -456/7"], "final_answer": "-456/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x + 1) - 443 = -3x + 3", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 1, \"c\": 443, \"d\": -3, \"e\": 3}", "seed": "508062266151737443", "semantic_fingerprint": "sha256:795921c32ac137940fcd7c81baf342674e457beea1196cede5ab05b16c217489", "generator_version": "3.0"}
{"id": "v3_test_id_00005167", "prompt": "Solve for x: 3(x - 29) = -3(x + 91) - 9", "solution_steps": ["Expand: 3x - 87 = -3(x + 91) - 9", "Expand: 3x - 87 = -3x - 273 - 9", "Combine constants: 3x - 87 = -3x - 282", "Add 3x to both sides: 6x - 87 = -282", "Add 87 to both sides: 6x = -195", "Divide both sides by 6: x = -65/2"], "final_answer": "-65/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 29) = -3(x + 91) - 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 29, \"c\": -3, \"d\": 91, \"e\": 9}", "seed": "13585621579390054493", "semantic_fingerprint": "sha256:f6fb1825aefb8b4a9bbbde8b5cc9be95682d0e8ebd9051593cca638b6b96de82", "generator_version": "3.0"}
{"id": "v3_test_id_00005168", "prompt": "Compute: -78 + 45 - (-7)", "solution_steps": ["Add: -78 + 45 = -33", "Subtract: -33 - (-7) = -26"], "final_answer": "-26", "answer_type": "integer", "kind": "expression", "math_text": "-78 + 45 - (-7)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": 45, \"c\": -7}", "seed": "3953416967426548463", "semantic_fingerprint": "sha256:f72143638eaf57fc0b523e90c285a7798e5759801fddf42c4b75820c8ab80c99", "generator_version": "3.0"}
{"id": "v3_test_id_00005169", "prompt": "Evaluate: 764 + (-3 - (-8))", "solution_steps": ["Subtract: -3 - (-8) = 5", "Add: 764 + 5 = 769"], "final_answer": "769", "answer_type": "integer", "kind": "expression", "math_text": "764 + (-3 - (-8))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 764, \"b\": -3, \"c\": -8}", "seed": "2927432725943270051", "semantic_fingerprint": "sha256:7718f70ffdb4c3589d282a9ab04aabb2de7e60969877ff772d3dd09262d7c256", "generator_version": "3.0"}
{"id": "v3_test_id_00005170", "prompt": "Evaluate: (-13 - 226) * (-347 - 9)", "solution_steps": ["Subtract: -13 - 226 = -239", "Subtract: -347 - 9 = -356", "Multiply: -239 * (-356) = 85084"], "final_answer": "85084", "answer_type": "integer", "kind": "expression", "math_text": "(-13 - 226) * (-347 - 9)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": 226, \"c\": -347, \"d\": 9}", "seed": "13663582485435432066", "semantic_fingerprint": "sha256:02d2e63f67fdc6eb44d898cca31c06caf61c9144bab3c647d01499a4c2cf8947", "generator_version": "3.0"}
{"id": "v3_test_id_00005171", "prompt": "Compute: -97 / ((40 - 35) * 5)", "solution_steps": ["Subtract: 40 - 35 = 5", "Multiply: 5 * 5 = 25", "Divide: -97 / 25 = -97/25"], "final_answer": "-97/25", "answer_type": "rational", "kind": "expression", "math_text": "-97 / ((40 - 35) * 5)", "variable": null, "family": "expression_3op", "shape": "(/ n (* (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": 40, \"c\": 35, \"d\": 5}", "seed": "17763515509795671050", "semantic_fingerprint": "sha256:33a3f68aad61e4e96de72f02828d399e747bd417b96c368b33d4c697ea12bcf9", "generator_version": "3.0"}
{"id": "v3_test_id_00005172", "prompt": "Evaluate: 637 - (-7)", "solution_steps": ["Subtract: 637 - (-7) = 644"], "final_answer": "644", "answer_type": "integer", "kind": "expression", "math_text": "637 - (-7)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 637, \"b\": -7}", "seed": "4071217103992734540", "semantic_fingerprint": "sha256:a662d5047d8ede07a7e1beae16357c9212728bed4db734f478d4d7beb213dfdc", "generator_version": "3.0"}
{"id": "v3_test_id_00005173", "prompt": "Find x: -8(x + 43) = 5x + 79", "solution_steps": ["Expand: -8x - 344 = 5x + 79", "Subtract 5x from both sides: -13x - 344 = 79", "Add 344 to both sides: -13x = 423", "Divide both sides by -13: x = -423/13"], "final_answer": "-423/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x + 43) = 5x + 79", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 43, \"c\": 5, \"d\": 79}", "seed": "14689038879500293414", "semantic_fingerprint": "sha256:fb0c8fe553b5962eec0ccf860affe24ed0a376fe1e25706da6f3d4be148a4d35", "generator_version": "3.0"}
{"id": "v3_test_id_00005174", "prompt": "Calculate: 66 / (-452 - (-22))", "solution_steps": ["Subtract: -452 - (-22) = -430", "Divide: 66 / (-430) = -33/215"], "final_answer": "-33/215", "answer_type": "rational", "kind": "expression", "math_text": "66 / (-452 - (-22))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -452, \"c\": -22}", "seed": "12740675890977891404", "semantic_fingerprint": "sha256:7d4d3a23580dc572138c04d71a19beb423cbc6ec9a2434f601ed7476960eeff3", "generator_version": "3.0"}
{"id": "v3_test_id_00005175", "prompt": "What is (-231 - (-74)) / (-3)?", "solution_steps": ["Subtract: -231 - (-74) = -157", "Divide: -157 / (-3) = 157/3"], "final_answer": "157/3", "answer_type": "rational", "kind": "expression", "math_text": "(-231 - (-74)) / (-3)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -231, \"b\": -74, \"c\": -3}", "seed": "13238077569146557578", "semantic_fingerprint": "sha256:8ced8a9c110bdc650158d9d3e1187bd636fc4c1810ed78c7ac85c45348c4f558", "generator_version": "3.0"}
{"id": "v3_test_id_00005176", "prompt": "What value of x satisfies x = 4x - 9?", "solution_steps": ["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": "x = 4x - 9", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9}", "seed": "6474003888540940349", "semantic_fingerprint": "sha256:8d579131ba731572b77371385637abc4a6eba62617dc8fdea95009e33c45363f", "generator_version": "3.0"}
{"id": "v3_test_id_00005177", "prompt": "What is 0 * 361 - (-407)?", "solution_steps": ["Multiply: 0 * 361 = 0", "Subtract: 0 - (-407) = 407"], "final_answer": "407", "answer_type": "integer", "kind": "expression", "math_text": "0 * 361 - (-407)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 361, \"c\": -407}", "seed": "8140822139354450618", "semantic_fingerprint": "sha256:e3021a05f668b9457ee85f670065447da096bc467a589e7cd5c0e874f10b93e3", "generator_version": "3.0"}
{"id": "v3_test_id_00005178", "prompt": "Solve for x: x - 99 = -11x + 99", "solution_steps": ["Add 11x to both sides: 12x - 99 = 99", "Add 99 to both sides: 12x = 198", "Divide both sides by 12: x = 33/2"], "final_answer": "33/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 99 = -11x + 99", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": -11, \"c\": 99}", "seed": "11184482599209333279", "semantic_fingerprint": "sha256:c61866626f4c3af5bf4373b3c9994f170b8a1ac28489e2c11417e38323ac6387", "generator_version": "3.0"}
{"id": "v3_test_id_00005179", "prompt": "What value of x satisfies 2(x - 15) = 82?", "solution_steps": ["Expand: 2x - 30 = 82", "Add 30 to both sides: 2x = 112", "Divide both sides by 2: x = 56"], "final_answer": "56", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 15) = 82", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 15, \"c\": 82}", "seed": "17415128960226625061", "semantic_fingerprint": "sha256:11df08d8d7087c6723f6c9479abbd950a76035926c9c9aa1d0c27477f19ca891", "generator_version": "3.0"}
{"id": "v3_test_id_00005180", "prompt": "Evaluate: 92 + 5 + (-95)", "solution_steps": ["Add: 92 + 5 = 97", "Add: 97 + (-95) = 2"], "final_answer": "2", "answer_type": "integer", "kind": "expression", "math_text": "92 + 5 + (-95)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": 5, \"c\": -95}", "seed": "12688449652494536278", "semantic_fingerprint": "sha256:c509cb5c99fd157d2e7d1e09f28afad93fd12cdb61d3b9f9f0c78632c00885ab", "generator_version": "3.0"}
{"id": "v3_test_id_00005181", "prompt": "Evaluate: -62 - (-38) + 75 + 347", "solution_steps": ["Subtract: -62 - (-38) = -24", "Add: -24 + 75 = 51", "Add: 51 + 347 = 398"], "final_answer": "398", "answer_type": "integer", "kind": "expression", "math_text": "-62 - (-38) + 75 + 347", "variable": null, "family": "expression_3op", "shape": "(+ (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": -38, \"c\": 75, \"d\": 347}", "seed": "17753799436875811341", "semantic_fingerprint": "sha256:0df53f5fc7da16f4aa16bf6472860c3d5f62a11f90026a9a8a4e020f2101b452", "generator_version": "3.0"}
{"id": "v3_test_id_00005182", "prompt": "What is (702 + (-3)) / (-5)?", "solution_steps": ["Add: 702 + (-3) = 699", "Divide: 699 / (-5) = -699/5"], "final_answer": "-699/5", "answer_type": "rational", "kind": "expression", "math_text": "(702 + (-3)) / (-5)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 702, \"b\": -3, \"c\": -5}", "seed": "15954801885155462222", "semantic_fingerprint": "sha256:f2617c80274f0a42c7149c5dc5dc1d02920e9a096b0892473a2fdd72ca4ec9d8", "generator_version": "3.0"}
{"id": "v3_test_id_00005183", "prompt": "What is (-88 + (-958) / (-57) - 90) * (-38 + 34)?", "solution_steps": ["Divide: -958 / (-57) = 958/57", "Add: -88 + 958/57 = -4058/57", "Subtract: -4058/57 - 90 = -9188/57", "Add: -38 + 34 = -4", "Multiply: (-9188/57) * (-4) = 36752/57"], "final_answer": "36752/57", "answer_type": "rational", "kind": "expression", "math_text": "(-88 + (-958) / (-57) - 90) * (-38 + 34)", "variable": null, "family": "expression_5op", "shape": "(* (- (+ n (/ n n)) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": -958, \"c\": -57, \"d\": 90, \"e\": -38, \"f\": 34}", "seed": "7107907872524712735", "semantic_fingerprint": "sha256:026646ed9cedc4d62eaba948b80bb62cd21a883b5bc53bb57db723f262cc33a1", "generator_version": "3.0"}
{"id": "v3_test_id_00005184", "prompt": "Evaluate: (819 - 35) * (-42)", "solution_steps": ["Subtract: 819 - 35 = 784", "Multiply: 784 * (-42) = -32928"], "final_answer": "-32928", "answer_type": "integer", "kind": "expression", "math_text": "(819 - 35) * (-42)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 819, \"b\": 35, \"c\": -42}", "seed": "14527683208607604389", "semantic_fingerprint": "sha256:9ecb6372464a862af81fe1af31603c3c4b793b837e40134c5dd33131cd323aaa", "generator_version": "3.0"}
{"id": "v3_test_id_00005185", "prompt": "Calculate: -9 + (-1 + (-9))", "solution_steps": ["Add: -1 + (-9) = -10", "Add: -9 + (-10) = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "expression", "math_text": "-9 + (-1 + (-9))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -1, \"c\": -9}", "seed": "10679311666931331387", "semantic_fingerprint": "sha256:7abbdb6bed764def930a11efe3974c14c1cae1c9f219abd9201cce7d9b405314", "generator_version": "3.0"}
{"id": "v3_test_id_00005186", "prompt": "Solve the equation 5x - 824 = -834 for x.", "solution_steps": ["Add 824 to both sides: 5x = -10", "Divide both sides by 5: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 824 = -834", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 824, \"d\": -834, \"x\": -2}", "seed": "2483169562512146583", "semantic_fingerprint": "sha256:fbb8b7fb389ea3e00fc8446185148fa76771d8df05a621d9b99199aab6a4df05", "generator_version": "3.0"}
{"id": "v3_test_id_00005187", "prompt": "Compute: -83 / (1 - (6 - 86 / (-86)) * (-88))", "solution_steps": ["Divide: 86 / (-86) = -1", "Subtract: 6 - (-1) = 7", "Multiply: 7 * (-88) = -616", "Subtract: 1 - (-616) = 617", "Divide: -83 / 617 = -83/617"], "final_answer": "-83/617", "answer_type": "rational", "kind": "expression", "math_text": "-83 / (1 - (6 - 86 / (-86)) * (-88))", "variable": null, "family": "expression_5op", "shape": "(/ n (- n (* (- n (/ n n)) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": 1, \"c\": 6, \"d\": 86, \"e\": -86, \"f\": -88}", "seed": "8967840202754510267", "semantic_fingerprint": "sha256:0038d7e6357f5b4a5f4d9b965660e56852b9f6f9c5666b57654087de471aef6a", "generator_version": "3.0"}
{"id": "v3_test_id_00005188", "prompt": "What is 643 - 82 + 8?", "solution_steps": ["Subtract: 643 - 82 = 561", "Add: 561 + 8 = 569"], "final_answer": "569", "answer_type": "integer", "kind": "expression", "math_text": "643 - 82 + 8", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 643, \"b\": 82, \"c\": 8}", "seed": "13822542056093953053", "semantic_fingerprint": "sha256:236388c1260fd90c09323f7528a8631b03e4234328a0fe1eddb2d4d3fb5e1438", "generator_version": "3.0"}
{"id": "v3_test_id_00005189", "prompt": "Solve the equation x - 86 = 4(x - 4) - 106 for x.", "solution_steps": ["Expand: x - 86 = 4x - 16 - 106", "Combine constants: x - 86 = 4x - 122", "Subtract 4x from both sides: -3x - 86 = -122", "Add 86 to both sides: -3x = -36", "Divide both sides by -3: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 86 = 4(x - 4) - 106", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 4, \"c\": 4, \"e\": -106, \"x\": 12}", "seed": "4298042743189947406", "semantic_fingerprint": "sha256:34a5024fb993213accd3e99e0d014f27b44316a40438eb446f0cf28eccc8e4d3", "generator_version": "3.0"}
{"id": "v3_test_id_00005190", "prompt": "Evaluate: 174 * (-53) - 2 + (-55)", "solution_steps": ["Multiply: 174 * (-53) = -9222", "Subtract: -9222 - 2 = -9224", "Add: -9224 + (-55) = -9279"], "final_answer": "-9279", "answer_type": "integer", "kind": "expression", "math_text": "174 * (-53) - 2 + (-55)", "variable": null, "family": "expression_3op", "shape": "(+ (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 174, \"b\": -53, \"c\": 2, \"d\": -55}", "seed": "3854855308082957567", "semantic_fingerprint": "sha256:45ccedc7704e0a2713ff4554fa45283f20548943e42aea314d023a465f78af33", "generator_version": "3.0"}
{"id": "v3_test_id_00005191", "prompt": "Evaluate: 711 / 9", "solution_steps": ["Divide: 711 / 9 = 79"], "final_answer": "79", "answer_type": "integer", "kind": "expression", "math_text": "711 / 9", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 711, \"b\": 9}", "seed": "785730932656003454", "semantic_fingerprint": "sha256:a505109bb2ffab8933a1c28f8a036cad24d48a8f29890e55e452a7d239cd73ef", "generator_version": "3.0"}
{"id": "v3_test_id_00005192", "prompt": "What value of x satisfies -10(x + 15) = 3(x + 225)?", "solution_steps": ["Expand: -10x - 150 = 3(x + 225)", "Expand: -10x - 150 = 3x + 675", "Subtract 3x from both sides: -13x - 150 = 675", "Add 150 to both sides: -13x = 825", "Divide both sides by -13: x = -825/13"], "final_answer": "-825/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x + 15) = 3(x + 225)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 15, \"c\": 3, \"d\": 225}", "seed": "9310044970147694388", "semantic_fingerprint": "sha256:d2b03e3c8111b230833d0a9cfd92d73a81872d37eb74f09a4857301a76779f8f", "generator_version": "3.0"}
{"id": "v3_test_id_00005193", "prompt": "Compute: 3 + 510", "solution_steps": ["Add: 3 + 510 = 513"], "final_answer": "513", "answer_type": "integer", "kind": "expression", "math_text": "3 + 510", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 510}", "seed": "11097273814900826143", "semantic_fingerprint": "sha256:6846b2257a77df0588373bc1ab059f9f7498563b146af3a0d5ff9974d5bc28f2", "generator_version": "3.0"}
{"id": "v3_test_id_00005194", "prompt": "Evaluate: 30 + (-47 + (-35))", "solution_steps": ["Add: -47 + (-35) = -82", "Add: 30 + (-82) = -52"], "final_answer": "-52", "answer_type": "integer", "kind": "expression", "math_text": "30 + (-47 + (-35))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": -47, \"c\": -35}", "seed": "13184821633526313764", "semantic_fingerprint": "sha256:b965b9b15dafcf7e0d4746efaef2eee61892ee3889d83ea43c6acd36294f9be6", "generator_version": "3.0"}
{"id": "v3_test_id_00005195", "prompt": "Solve the equation 7(x - 6) + 49 = x - 41 for x.", "solution_steps": ["Expand: 7x - 42 + 49 = x - 41", "Combine constants: 7x + 7 = x - 41", "Subtract x from both sides: 6x + 7 = -41", "Subtract 7 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 - 6) + 49 = x - 41", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": 49, \"e\": -41, \"x\": -8}", "seed": "8582856428350881070", "semantic_fingerprint": "sha256:07c17962afb2d4e559bccc078b4c6f9634850cc77ef1bee4bf6d3aa1504a7dc1", "generator_version": "3.0"}
{"id": "v3_test_id_00005196", "prompt": "Solve the equation -8(x + 314) - 8 = 7(x - 974) for x.", "solution_steps": ["Expand: -8x - 2512 - 8 = 7(x - 974)", "Expand: -8x - 2512 - 8 = 7x - 6818", "Combine constants: -8x - 2520 = 7x - 6818", "Subtract 7x from both sides: -15x - 2520 = -6818", "Add 2520 to both sides: -15x = -4298", "Divide both sides by -15: x = 4298/15"], "final_answer": "4298/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x + 314) - 8 = 7(x - 974)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 314, \"c\": 8, \"d\": 7, \"e\": 974}", "seed": "15448862951797725499", "semantic_fingerprint": "sha256:724c22b6ca0ac734b457ea23bd794c2ec9ac48b53067630aa11566b432acccee", "generator_version": "3.0"}
{"id": "v3_test_id_00005197", "prompt": "Solve for x: 10x + 37 = x + 7", "solution_steps": ["Subtract x from both sides: 9x + 37 = 7", "Subtract 37 from both sides: 9x = -30", "Divide both sides by 9: x = -10/3"], "final_answer": "-10/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x + 37 = x + 7", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 37, \"c\": 7}", "seed": "1105903532896289402", "semantic_fingerprint": "sha256:92c085924f906a7efad384906d9db7b29c3de2f21ee75108c90b40e22c921188", "generator_version": "3.0"}
{"id": "v3_test_id_00005198", "prompt": "Solve for x: 11x = x + 200", "solution_steps": ["Subtract x from both sides: 10x = 200", "Divide both sides by 10: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = x + 200", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 200}", "seed": "14496213601169110018", "semantic_fingerprint": "sha256:b07fd07e8817a6f708e6147228c581f84b7a21a8cc0d1525bd6c64401e1ea5ef", "generator_version": "3.0"}
{"id": "v3_test_id_00005199", "prompt": "Solve the equation x = 11(x - 5) + 185 for x.", "solution_steps": ["Expand: x = 11x - 55 + 185", "Combine constants: x = 11x + 130", "Subtract 11x from both sides: -10x = 130", "Divide both sides by -10: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 11(x - 5) + 185", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"d\": 185, \"x\": -13}", "seed": "4772173204278926409", "semantic_fingerprint": "sha256:8cda0ef050fc0189292f5f5a5b5e52ae5a8036b57a2b35bbeada4e69b2a5d6fd", "generator_version": "3.0"}
{"id": "v3_test_id_00005200", "prompt": "Compute: 509 * 894", "solution_steps": ["Multiply: 509 * 894 = 455046"], "final_answer": "455046", "answer_type": "integer", "kind": "expression", "math_text": "509 * 894", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 509, \"b\": 894}", "seed": "7018475081791928008", "semantic_fingerprint": "sha256:12ff8aa84a800ecd503bf8ff292111ba75cdf919196f07cd4948d5949c9a249d", "generator_version": "3.0"}
{"id": "v3_test_id_00005201", "prompt": "Calculate: 5 - (-79) * 64 + (-120 + 44)", "solution_steps": ["Multiply: -79 * 64 = -5056", "Subtract: 5 - (-5056) = 5061", "Add: -120 + 44 = -76", "Add: 5061 + (-76) = 4985"], "final_answer": "4985", "answer_type": "integer", "kind": "expression", "math_text": "5 - (-79) * 64 + (-120 + 44)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (* n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -79, \"c\": 64, \"d\": -120, \"e\": 44}", "seed": "12816333897713403814", "semantic_fingerprint": "sha256:23d3316f3d61911aba7f60b76572ddf7391100078f824b4b53dfaff253db1c6f", "generator_version": "3.0"}
{"id": "v3_test_id_00005202", "prompt": "Calculate: -392 + (10 + (-51)) * (-622)", "solution_steps": ["Add: 10 + (-51) = -41", "Multiply: -41 * (-622) = 25502", "Add: -392 + 25502 = 25110"], "final_answer": "25110", "answer_type": "integer", "kind": "expression", "math_text": "-392 + (10 + (-51)) * (-622)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -392, \"b\": 10, \"c\": -51, \"d\": -622}", "seed": "13306524853274953621", "semantic_fingerprint": "sha256:d6c85b7749d15a366edc1fc17ec57cea2090aba954c4a2601d32f6df4135cded", "generator_version": "3.0"}
{"id": "v3_test_id_00005203", "prompt": "What value of x satisfies 7x - 7 = 3(x + 88)?", "solution_steps": ["Expand: 7x - 7 = 3x + 264", "Subtract 3x from both sides: 4x - 7 = 264", "Add 7 to both sides: 4x = 271", "Divide both sides by 4: x = 271/4"], "final_answer": "271/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x - 7 = 3(x + 88)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 3, \"d\": 88}", "seed": "9195542478257638831", "semantic_fingerprint": "sha256:467a6f2e69626aaaf76b74721f61ab6dc7675e86409bc45dabfe1964810798ae", "generator_version": "3.0"}
{"id": "v3_test_id_00005204", "prompt": "Compute: 51 + (-457)", "solution_steps": ["Add: 51 + (-457) = -406"], "final_answer": "-406", "answer_type": "integer", "kind": "expression", "math_text": "51 + (-457)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": -457}", "seed": "16237375050496573932", "semantic_fingerprint": "sha256:24fca0f2fbbce8fbe5cf7d390db469cc69914fb141f0fb341fd201ef230016c2", "generator_version": "3.0"}
{"id": "v3_test_id_00005205", "prompt": "Compute: (0 - (-135)) * ((27 + (-5)) * (-19))", "solution_steps": ["Subtract: 0 - (-135) = 135", "Add: 27 + (-5) = 22", "Multiply: 22 * (-19) = -418", "Multiply: 135 * (-418) = -56430"], "final_answer": "-56430", "answer_type": "integer", "kind": "expression", "math_text": "(0 - (-135)) * ((27 + (-5)) * (-19))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (* (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -135, \"c\": 27, \"d\": -5, \"e\": -19}", "seed": "7031998945259161065", "semantic_fingerprint": "sha256:52505266bb389e9ed6201423a8312120c83e289d422ad03148706437d63e95e7", "generator_version": "3.0"}
{"id": "v3_test_id_00005206", "prompt": "Find x: x - 5 = 12(x + 3)", "solution_steps": ["Expand: x - 5 = 12x + 36", "Subtract 12x from both sides: -11x - 5 = 36", "Add 5 to both sides: -11x = 41", "Divide both sides by -11: x = -41/11"], "final_answer": "-41/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 5 = 12(x + 3)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 12, \"c\": 3}", "seed": "10529390841796763593", "semantic_fingerprint": "sha256:33b11c91149e7b6d1409d65af0c20624feb7980f6c32580648afea7202d6c5a1", "generator_version": "3.0"}
{"id": "v3_test_id_00005207", "prompt": "Calculate: 28 - 955", "solution_steps": ["Subtract: 28 - 955 = -927"], "final_answer": "-927", "answer_type": "integer", "kind": "expression", "math_text": "28 - 955", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": 955}", "seed": "15244041552941035186", "semantic_fingerprint": "sha256:5d375366a623ac1a5dd1709e337d398231854c504d140dc1bcdd979130ad520b", "generator_version": "3.0"}
{"id": "v3_test_id_00005208", "prompt": "What is -6 * (8 + 99)?", "solution_steps": ["Add: 8 + 99 = 107", "Multiply: -6 * 107 = -642"], "final_answer": "-642", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (8 + 99)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 8, \"c\": 99}", "seed": "7502529646141618744", "semantic_fingerprint": "sha256:7680e923f7d6d28fceb89caebb50bf14923af23a5bbc3051e41c46a9e06a4937", "generator_version": "3.0"}
{"id": "v3_test_id_00005209", "prompt": "What is 10 / (-504) / (57 / (-12) / (-9))?", "solution_steps": ["Divide: 10 / (-504) = -5/252", "Divide: 57 / (-12) = -19/4", "Divide: (-19/4) / (-9) = 19/36", "Divide: (-5/252) / (19/36) = -5/133"], "final_answer": "-5/133", "answer_type": "rational", "kind": "expression", "math_text": "10 / (-504) / (57 / (-12) / (-9))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (/ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": -504, \"c\": 57, \"d\": -12, \"e\": -9}", "seed": "11783514586276554951", "semantic_fingerprint": "sha256:ae8dde46f7d13332c33867a7138c54a4603564388d1b2c0cdbe62bb078bfafe9", "generator_version": "3.0"}
{"id": "v3_test_id_00005210", "prompt": "Compute: 21 + (-21)", "solution_steps": ["Add: 21 + (-21) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "21 + (-21)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": -21}", "seed": "4441026202330969334", "semantic_fingerprint": "sha256:a85507daa1ef58af0f7be0762afd9292a6b2e1c07e63f1d2080dd8d78bb638f2", "generator_version": "3.0"}
{"id": "v3_test_id_00005211", "prompt": "What value of x satisfies -12(x - 9) - 11 = 5x + 4?", "solution_steps": ["Expand: -12x + 108 - 11 = 5x + 4", "Combine constants: -12x + 97 = 5x + 4", "Subtract 5x from both sides: -17x + 97 = 4", "Subtract 97 from both sides: -17x = -93", "Divide both sides by -17: x = 93/17"], "final_answer": "93/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x - 9) - 11 = 5x + 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 9, \"c\": 11, \"d\": 5, \"e\": 4}", "seed": "9411021493651418953", "semantic_fingerprint": "sha256:f6a4dd2df002c1c8359552dc481a1becbf8efda468c4c0086837b39bbdb0f2e6", "generator_version": "3.0"}
{"id": "v3_test_id_00005212", "prompt": "What value of x satisfies -10x + 783 = -9(x - 85)?", "solution_steps": ["Expand: -10x + 783 = -9x + 765", "Add 9x to both sides: -x + 783 = 765", "Subtract 783 from both sides: -x = -18", "Divide both sides by -1: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x + 783 = -9(x - 85)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": -9, \"c\": 85, \"e\": 783, \"x\": 18}", "seed": "1882480285394162563", "semantic_fingerprint": "sha256:38291c13d921c69b02f1a6c03ef2a78e00d2146855609034b0cb3ed9673506ba", "generator_version": "3.0"}
{"id": "v3_test_id_00005213", "prompt": "Compute: 1 - (9 - 805)", "solution_steps": ["Subtract: 9 - 805 = -796", "Subtract: 1 - (-796) = 797"], "final_answer": "797", "answer_type": "integer", "kind": "expression", "math_text": "1 - (9 - 805)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 9, \"c\": 805}", "seed": "14880560742883843120", "semantic_fingerprint": "sha256:597d9a76a94a79f55363bfd5f63ac543d08d252e663149ecb03211402bdb6a5b", "generator_version": "3.0"}
{"id": "v3_test_id_00005214", "prompt": "Solve the equation 7(x + 45) - 24 = 2(x + 641) - 57 for x.", "solution_steps": ["Expand: 7x + 315 - 24 = 2(x + 641) - 57", "Expand: 7x + 315 - 24 = 2x + 1282 - 57", "Combine constants: 7x + 291 = 2x + 1282 - 57", "Combine constants: 7x + 291 = 2x + 1225", "Subtract 2x from both sides: 5x + 291 = 1225", "Subtract 291 from both sides: 5x = 934", "Divide both sides by 5: x = 934/5"], "final_answer": "934/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 45) - 24 = 2(x + 641) - 57", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 45, \"c\": 24, \"d\": 2, \"e\": 641, \"f\": 57}", "seed": "211684303152635423", "semantic_fingerprint": "sha256:1267226b6ad019369a52aedfc712449e73039940edbf86facfe761b75e8d8ccb", "generator_version": "3.0"}
{"id": "v3_test_id_00005215", "prompt": "Evaluate: (0 - 194) / 52", "solution_steps": ["Subtract: 0 - 194 = -194", "Divide: -194 / 52 = -97/26"], "final_answer": "-97/26", "answer_type": "rational", "kind": "expression", "math_text": "(0 - 194) / 52", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 194, \"c\": 52}", "seed": "9412056287680304760", "semantic_fingerprint": "sha256:fd98cc3932d4d60e5225e8f2680a6f5fbfe97ee0c77c80b7b65d9495fdd855c0", "generator_version": "3.0"}
{"id": "v3_test_id_00005216", "prompt": "What value of x satisfies 4x - 58 = 3(x - 2) - 51?", "solution_steps": ["Expand: 4x - 58 = 3x - 6 - 51", "Combine constants: 4x - 58 = 3x - 57", "Subtract 3x from both sides: x - 58 = -57", "Add 58 to both sides: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 58 = 3(x - 2) - 51", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 58, \"c\": 3, \"d\": 2, \"f\": -51, \"x\": 1}", "seed": "5867091160583017529", "semantic_fingerprint": "sha256:3d04283bc047d3a943fd82c05d0c49f95a1800201b039c4143bc5c5eb418c951", "generator_version": "3.0"}
{"id": "v3_test_id_00005217", "prompt": "Find x: 4(x + 93) - 416 = 2(x - 9)", "solution_steps": ["Expand: 4x + 372 - 416 = 2(x - 9)", "Expand: 4x + 372 - 416 = 2x - 18", "Combine constants: 4x - 44 = 2x - 18", "Subtract 2x from both sides: 2x - 44 = -18", "Add 44 to both sides: 2x = 26", "Divide both sides by 2: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 93) - 416 = 2(x - 9)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 93, \"c\": 2, \"d\": 9, \"f\": -416, \"x\": 13}", "seed": "858583088604788048", "semantic_fingerprint": "sha256:3fe8cb3ac3fbac968de3a15e1382a6672bf17938aa7a48c0057667cb301d35ac", "generator_version": "3.0"}
{"id": "v3_test_id_00005218", "prompt": "Calculate: (35 + (-79 + (-70))) / 65", "solution_steps": ["Add: -79 + (-70) = -149", "Add: 35 + (-149) = -114", "Divide: -114 / 65 = -114/65"], "final_answer": "-114/65", "answer_type": "rational", "kind": "expression", "math_text": "(35 + (-79 + (-70))) / 65", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": -79, \"c\": -70, \"d\": 65}", "seed": "9542549022472689716", "semantic_fingerprint": "sha256:e5afb3f7c7c8e4c7bc1a9ed6072aea2de6b8221ec4096101d434b7afc41f48f2", "generator_version": "3.0"}
{"id": "v3_test_id_00005219", "prompt": "Calculate: -12 / 467", "solution_steps": ["Divide: -12 / 467 = -12/467"], "final_answer": "-12/467", "answer_type": "rational", "kind": "expression", "math_text": "-12 / 467", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 467}", "seed": "11392477721687106508", "semantic_fingerprint": "sha256:1dd5412fb805ed06273e40f82e988f4aeb327e9fc3b9ffbcc7a01c7f9c0723b8", "generator_version": "3.0"}
{"id": "v3_test_id_00005220", "prompt": "Compute: -5 * (-27) - 736 * (-8)", "solution_steps": ["Multiply: -5 * (-27) = 135", "Multiply: 736 * (-8) = -5888", "Subtract: 135 - (-5888) = 6023"], "final_answer": "6023", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (-27) - 736 * (-8)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -27, \"c\": 736, \"d\": -8}", "seed": "6808020880148151188", "semantic_fingerprint": "sha256:9109ee36c5b6e0665508cd12ea0823c5f48745d716a39c36fbc177b28485191f", "generator_version": "3.0"}
{"id": "v3_test_id_00005221", "prompt": "What value of x satisfies 4(x - 74) - 7 = 6(x + 50) - 623?", "solution_steps": ["Expand: 4x - 296 - 7 = 6(x + 50) - 623", "Expand: 4x - 296 - 7 = 6x + 300 - 623", "Combine constants: 4x - 303 = 6x + 300 - 623", "Combine constants: 4x - 303 = 6x - 323", "Subtract 6x from both sides: -2x - 303 = -323", "Add 303 to both sides: -2x = -20", "Divide both sides by -2: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 74) - 7 = 6(x + 50) - 623", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 74, \"c\": 7, \"d\": 6, \"e\": 50, \"g\": -623, \"x\": 10}", "seed": "6539220021357152718", "semantic_fingerprint": "sha256:8cd4586d024f67c5da424ee472f970e1258a22e4bf0b87e91df609d0791cf702", "generator_version": "3.0"}
{"id": "v3_test_id_00005222", "prompt": "Evaluate: (0 - (-969)) / 57", "solution_steps": ["Subtract: 0 - (-969) = 969", "Divide: 969 / 57 = 17"], "final_answer": "17", "answer_type": "integer", "kind": "expression", "math_text": "(0 - (-969)) / 57", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -969, \"c\": 57}", "seed": "3330920977025241930", "semantic_fingerprint": "sha256:fc40b5e2fb3699433768bacd7763ed1397b2b915faf394d9beeaac7e3906a2e7", "generator_version": "3.0"}
{"id": "v3_test_id_00005223", "prompt": "What is -5 / (-93) - (-29)?", "solution_steps": ["Divide: -5 / (-93) = 5/93", "Subtract: 5/93 - (-29) = 2702/93"], "final_answer": "2702/93", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-93) - (-29)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -93, \"c\": -29}", "seed": "5333474434424813003", "semantic_fingerprint": "sha256:fcf702c0e29e56b11f63c20fd06588287b9d6a636b155f6b90e69f0af53a5100", "generator_version": "3.0"}
{"id": "v3_test_id_00005224", "prompt": "Find x: 2(x - 5) - 44 = -7x", "solution_steps": ["Expand: 2x - 10 - 44 = -7x", "Combine constants: 2x - 54 = -7x", "Add 7x to both sides: 9x - 54 = 0", "Add 54 to both sides: 9x = 54", "Divide both sides by 9: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 5) - 44 = -7x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"c\": -7, \"e\": -44, \"x\": 6}", "seed": "9977557541635535438", "semantic_fingerprint": "sha256:412d3e4fb24c06d989c5d50c6170dd4c31ea75b8b40d350c175c0abb1bb41b60", "generator_version": "3.0"}
{"id": "v3_test_id_00005225", "prompt": "Compute: -2 / 99", "solution_steps": ["Divide: -2 / 99 = -2/99"], "final_answer": "-2/99", "answer_type": "rational", "kind": "expression", "math_text": "-2 / 99", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 99}", "seed": "18222862572649520567", "semantic_fingerprint": "sha256:da7fd8de884c8a5bae5bfa173fe1e9f09b575603e253af7066606af3f9f9f647", "generator_version": "3.0"}
{"id": "v3_test_id_00005226", "prompt": "What is 73 / (-81)?", "solution_steps": ["Divide: 73 / (-81) = -73/81"], "final_answer": "-73/81", "answer_type": "rational", "kind": "expression", "math_text": "73 / (-81)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": -81}", "seed": "6754744464748425154", "semantic_fingerprint": "sha256:78511532150a557c98c1c0c6ea9b4e51ef24887f89c02023d3c81f0604f5daa9", "generator_version": "3.0"}
{"id": "v3_test_id_00005227", "prompt": "What is (-17 - (-652)) / (-77 / (-72 + (-1)) / (-5))?", "solution_steps": ["Subtract: -17 - (-652) = 635", "Add: -72 + (-1) = -73", "Divide: -77 / (-73) = 77/73", "Divide: (77/73) / (-5) = -77/365", "Divide: 635 / (-77/365) = -231775/77"], "final_answer": "-231775/77", "answer_type": "rational", "kind": "expression", "math_text": "(-17 - (-652)) / (-77 / (-72 + (-1)) / (-5))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (/ (/ n (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": -652, \"c\": -77, \"d\": -72, \"e\": -1, \"f\": -5}", "seed": "13008939875805638017", "semantic_fingerprint": "sha256:1c264398dbca52dc152afb07b159099fd71e5d7a88cd5bad91e38a318ed8b843", "generator_version": "3.0"}
{"id": "v3_test_id_00005228", "prompt": "Compute: 0 * 0 + 752", "solution_steps": ["Multiply: 0 * 0 = 0", "Add: 0 + 752 = 752"], "final_answer": "752", "answer_type": "integer", "kind": "expression", "math_text": "0 * 0 + 752", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 0, \"c\": 752}", "seed": "4367721230774625245", "semantic_fingerprint": "sha256:eddd564c7c52208ac624e93311859173f97a4f47d7291e99c39a7c43e1ed80f9", "generator_version": "3.0"}
{"id": "v3_test_id_00005229", "prompt": "Evaluate: -1 * 79 - (0 + 8) + (-83)", "solution_steps": ["Multiply: -1 * 79 = -79", "Add: 0 + 8 = 8", "Subtract: -79 - 8 = -87", "Add: -87 + (-83) = -170"], "final_answer": "-170", "answer_type": "integer", "kind": "expression", "math_text": "-1 * 79 - (0 + 8) + (-83)", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 79, \"c\": 0, \"d\": 8, \"e\": -83}", "seed": "4440182596367688811", "semantic_fingerprint": "sha256:cce90c891b733c5c084b3ca7ed48f89c3a2d002b0fe01578b3e3c1f60d7b9ad1", "generator_version": "3.0"}
{"id": "v3_test_id_00005230", "prompt": "Calculate: -13 + (-909)", "solution_steps": ["Add: -13 + (-909) = -922"], "final_answer": "-922", "answer_type": "integer", "kind": "expression", "math_text": "-13 + (-909)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": -909}", "seed": "17415833262396440570", "semantic_fingerprint": "sha256:39502c70bd947a8ecbe10e3a441c30fce49f067c9f7ebcb6906667389a923c5b", "generator_version": "3.0"}
{"id": "v3_test_id_00005231", "prompt": "What is -71 / 852?", "solution_steps": ["Divide: -71 / 852 = -1/12"], "final_answer": "-1/12", "answer_type": "rational", "kind": "expression", "math_text": "-71 / 852", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": 852}", "seed": "5315102067543529217", "semantic_fingerprint": "sha256:045c2efa2f4d87f430e6809cd795585cba1c35c01c254c35214c897619e3fa5a", "generator_version": "3.0"}
{"id": "v3_test_id_00005232", "prompt": "Calculate: -150 * (-737 + (-3 + 14)) - (-29)", "solution_steps": ["Add: -3 + 14 = 11", "Add: -737 + 11 = -726", "Multiply: -150 * (-726) = 108900", "Subtract: 108900 - (-29) = 108929"], "final_answer": "108929", "answer_type": "integer", "kind": "expression", "math_text": "-150 * (-737 + (-3 + 14)) - (-29)", "variable": null, "family": "expression_4op", "shape": "(- (* n (+ n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -150, \"b\": -737, \"c\": -3, \"d\": 14, \"e\": -29}", "seed": "1528533118029417920", "semantic_fingerprint": "sha256:cea2277f097cab947c88c4ad6fd0bd82b1de910f96e860cf1df421af667b9b0b", "generator_version": "3.0"}
{"id": "v3_test_id_00005233", "prompt": "Calculate: -3 + 8 + (5 - 385)", "solution_steps": ["Add: -3 + 8 = 5", "Subtract: 5 - 385 = -380", "Add: 5 + (-380) = -375"], "final_answer": "-375", "answer_type": "integer", "kind": "expression", "math_text": "-3 + 8 + (5 - 385)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 8, \"c\": 5, \"d\": 385}", "seed": "13882862477976923024", "semantic_fingerprint": "sha256:df6c01285c3a10306a585cc81e9896a0d51af06c021fdfad23dc179cf1229777", "generator_version": "3.0"}
{"id": "v3_test_id_00005234", "prompt": "Solve the equation 11(x - 5) + 41 = 195 for x.", "solution_steps": ["Expand: 11x - 55 + 41 = 195", "Combine constants: 11x - 14 = 195", "Add 14 to both sides: 11x = 209", "Divide both sides by 11: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 5) + 41 = 195", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": 41, \"e\": 195, \"x\": 19}", "seed": "12786458798118042195", "semantic_fingerprint": "sha256:9019e951efe51536211f62fbdeb1c0c25cbdae7ae93e0f03b1cfb866968c7d71", "generator_version": "3.0"}
{"id": "v3_test_id_00005235", "prompt": "Solve for x: 12(x - 378) - 58 = 4x - 3", "solution_steps": ["Expand: 12x - 4536 - 58 = 4x - 3", "Combine constants: 12x - 4594 = 4x - 3", "Subtract 4x from both sides: 8x - 4594 = -3", "Add 4594 to both sides: 8x = 4591", "Divide both sides by 8: x = 4591/8"], "final_answer": "4591/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 378) - 58 = 4x - 3", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 378, \"c\": 58, \"d\": 4, \"e\": 3}", "seed": "2792112353633464093", "semantic_fingerprint": "sha256:fa0b776c526b323bf79f80756aa94ae6a286d6ac4138f2ec2de121c630b45305", "generator_version": "3.0"}
{"id": "v3_test_id_00005236", "prompt": "What value of x satisfies 7(x - 85) - 1 = 2x - 646?", "solution_steps": ["Expand: 7x - 595 - 1 = 2x - 646", "Combine constants: 7x - 596 = 2x - 646", "Subtract 2x from both sides: 5x - 596 = -646", "Add 596 to both sides: 5x = -50", "Divide both sides by 5: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 85) - 1 = 2x - 646", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 85, \"c\": 1, \"d\": 2, \"f\": -646, \"x\": -10}", "seed": "17502286518458983356", "semantic_fingerprint": "sha256:ba1207402a1b6c3c430ce8fd8f8b157342efeece8a93688377baaf30dfd70612", "generator_version": "3.0"}
{"id": "v3_test_id_00005237", "prompt": "Compute: 889 / (-35 + (-38))", "solution_steps": ["Add: -35 + (-38) = -73", "Divide: 889 / (-73) = -889/73"], "final_answer": "-889/73", "answer_type": "rational", "kind": "expression", "math_text": "889 / (-35 + (-38))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 889, \"b\": -35, \"c\": -38}", "seed": "10015335823029199532", "semantic_fingerprint": "sha256:c0fcbd0077fa97b85e798e9d4751f8a668147c9026e1d97f09c81096af34c553", "generator_version": "3.0"}
{"id": "v3_test_id_00005238", "prompt": "Find x: x + 797 = -6x + 678", "solution_steps": ["Add 6x to both sides: 7x + 797 = 678", "Subtract 797 from both sides: 7x = -119", "Divide both sides by 7: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 797 = -6x + 678", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 797, \"b\": -6, \"d\": 678, \"x\": -17}", "seed": "13939087079748692306", "semantic_fingerprint": "sha256:0bd64070e5c8cc3f39d75d527cc725d30ff72ee58b9414f05fe9f5bd04c7c31b", "generator_version": "3.0"}
{"id": "v3_test_id_00005239", "prompt": "Solve for x: 11x = x + 130", "solution_steps": ["Subtract x from both sides: 10x = 130", "Divide both sides by 10: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = x + 130", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"c\": 130, \"x\": 13}", "seed": "8231870849638268650", "semantic_fingerprint": "sha256:add96ccc47a206a9bd4fb4fa9fc3081c548a64ec35e1c6eb783a1af24a85a5eb", "generator_version": "3.0"}
{"id": "v3_test_id_00005240", "prompt": "Evaluate: -15 * 87 - 358 - 9 / 465", "solution_steps": ["Multiply: -15 * 87 = -1305", "Subtract: -1305 - 358 = -1663", "Divide: 9 / 465 = 3/155", "Subtract: -1663 - 3/155 = -257768/155"], "final_answer": "-257768/155", "answer_type": "rational", "kind": "expression", "math_text": "-15 * 87 - 358 - 9 / 465", "variable": null, "family": "expression_4op", "shape": "(- (- (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": 87, \"c\": 358, \"d\": 9, \"e\": 465}", "seed": "10031282551587626048", "semantic_fingerprint": "sha256:cc77defae2945b1a6d60a8bbfd2966fd1b7b0ac27b073c66d7c1124d2959aeff", "generator_version": "3.0"}
{"id": "v3_test_id_00005241", "prompt": "What is 674 + 7 / (-29)?", "solution_steps": ["Divide: 7 / (-29) = -7/29", "Add: 674 + (-7/29) = 19539/29"], "final_answer": "19539/29", "answer_type": "rational", "kind": "expression", "math_text": "674 + 7 / (-29)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 674, \"b\": 7, \"c\": -29}", "seed": "16388466196152898323", "semantic_fingerprint": "sha256:6d3a151c1b41d0732f1d138c9d72a3f01256d0e1123bea19bc1b28d11195b761", "generator_version": "3.0"}
{"id": "v3_test_id_00005242", "prompt": "What value of x satisfies 7(x + 8) - 56 = 4x?", "solution_steps": ["Expand: 7x + 56 - 56 = 4x", "Combine constants: 7x = 4x", "Subtract 4x from both sides: 3x = 0", "Divide both sides by 3: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 8) - 56 = 4x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 8, \"c\": 4, \"e\": -56, \"x\": 0}", "seed": "5735152862333264609", "semantic_fingerprint": "sha256:9a65765e2bf7fa70d66301579e6f63b56b8018dbc2bb7dd814dbe325eed76a8a", "generator_version": "3.0"}
{"id": "v3_test_id_00005243", "prompt": "Calculate: (0 - 494) / (54 - 32)", "solution_steps": ["Subtract: 0 - 494 = -494", "Subtract: 54 - 32 = 22", "Divide: -494 / 22 = -247/11"], "final_answer": "-247/11", "answer_type": "rational", "kind": "expression", "math_text": "(0 - 494) / (54 - 32)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 494, \"c\": 54, \"d\": 32}", "seed": "7464403677406843381", "semantic_fingerprint": "sha256:a89f48316d1b162bbb6922d388fd040f4a90a45d32b5df6ab5f16b621d16ebcc", "generator_version": "3.0"}
{"id": "v3_test_id_00005244", "prompt": "Calculate: -6 + (29 * (780 - (-93)) / (-5) + 4)", "solution_steps": ["Subtract: 780 - (-93) = 873", "Multiply: 29 * 873 = 25317", "Divide: 25317 / (-5) = -25317/5", "Add: -25317/5 + 4 = -25297/5", "Add: -6 + (-25297/5) = -25327/5"], "final_answer": "-25327/5", "answer_type": "rational", "kind": "expression", "math_text": "-6 + (29 * (780 - (-93)) / (-5) + 4)", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (/ (* n (- n n)) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 29, \"c\": 780, \"d\": -93, \"e\": -5, \"f\": 4}", "seed": "17909113215986567245", "semantic_fingerprint": "sha256:c49dacd761e63059e79838e5256d85dde577e790b0bb9671e8add7b60b57dacd", "generator_version": "3.0"}
{"id": "v3_test_id_00005245", "prompt": "Evaluate: -2 - 64 + 303 / 936", "solution_steps": ["Subtract: -2 - 64 = -66", "Divide: 303 / 936 = 101/312", "Add: -66 + 101/312 = -20491/312"], "final_answer": "-20491/312", "answer_type": "rational", "kind": "expression", "math_text": "-2 - 64 + 303 / 936", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 64, \"c\": 303, \"d\": 936}", "seed": "2484535292156529191", "semantic_fingerprint": "sha256:3d63054f695983734c0471d6aa989aec3fc7b51f11b13300299aa11917ee8ba8", "generator_version": "3.0"}
{"id": "v3_test_id_00005246", "prompt": "What is 6 / (-951 / (8 + 58) + (-360))?", "solution_steps": ["Add: 8 + 58 = 66", "Divide: -951 / 66 = -317/22", "Add: -317/22 + (-360) = -8237/22", "Divide: 6 / (-8237/22) = -132/8237"], "final_answer": "-132/8237", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-951 / (8 + 58) + (-360))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (/ n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -951, \"c\": 8, \"d\": 58, \"e\": -360}", "seed": "12331031945915102654", "semantic_fingerprint": "sha256:6baf3d6b09c74393790e621e07714ce0d0aa4e4cd4fe01da6a319f9b9ae34a58", "generator_version": "3.0"}
{"id": "v3_test_id_00005247", "prompt": "What is -99 / (-4) + (-552)?", "solution_steps": ["Divide: -99 / (-4) = 99/4", "Add: 99/4 + (-552) = -2109/4"], "final_answer": "-2109/4", "answer_type": "rational", "kind": "expression", "math_text": "-99 / (-4) + (-552)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": -4, \"c\": -552}", "seed": "11427474475810600987", "semantic_fingerprint": "sha256:f730f6ea2b7c94c6666a92b6b736ad4c3776c8d19ffc1b79a38fa5b1d6b17b55", "generator_version": "3.0"}
{"id": "v3_test_id_00005248", "prompt": "What is 69 + (-44) - 6 - 38?", "solution_steps": ["Add: 69 + (-44) = 25", "Subtract: 25 - 6 = 19", "Subtract: 19 - 38 = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "expression", "math_text": "69 + (-44) - 6 - 38", "variable": null, "family": "expression_3op", "shape": "(- (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": -44, \"c\": 6, \"d\": 38}", "seed": "11222354006618138066", "semantic_fingerprint": "sha256:7f0dc24e2d27a6bfc0cd1315648a85c8a0cba2b756bd80c837c17d2a45effc81", "generator_version": "3.0"}
{"id": "v3_test_id_00005249", "prompt": "Find x: -6(x - 197) - 269 = 799", "solution_steps": ["Expand: -6x + 1182 - 269 = 799", "Combine constants: -6x + 913 = 799", "Subtract 913 from both sides: -6x = -114", "Divide both sides by -6: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 197) - 269 = 799", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 197, \"c\": 269, \"e\": 799, \"x\": 19}", "seed": "6979540134059461310", "semantic_fingerprint": "sha256:db6ad76ea7eeaaf66862080dbb1a60ebc0c4f6d39ae30585118568f294cd5804", "generator_version": "3.0"}
{"id": "v3_test_id_00005250", "prompt": "Compute: 6 + 31 * (8 + 81)", "solution_steps": ["Add: 8 + 81 = 89", "Multiply: 31 * 89 = 2759", "Add: 6 + 2759 = 2765"], "final_answer": "2765", "answer_type": "integer", "kind": "expression", "math_text": "6 + 31 * (8 + 81)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 31, \"c\": 8, \"d\": 81}", "seed": "12447221292684394375", "semantic_fingerprint": "sha256:8014ae3ba304a8a71cc8ad3c184e646934e109fcaef31da75bbc288493b15e06", "generator_version": "3.0"}
{"id": "v3_test_id_00005251", "prompt": "Calculate: 52 - 63", "solution_steps": ["Subtract: 52 - 63 = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "expression", "math_text": "52 - 63", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 52, \"b\": 63}", "seed": "5922660721019993966", "semantic_fingerprint": "sha256:8c64c7fb9e6758e43c6a0ab16ac0944f90634efce40cff9fb3147289448eb8f6", "generator_version": "3.0"}
{"id": "v3_test_id_00005252", "prompt": "Solve for x: x - 2 = 9(x + 6)", "solution_steps": ["Expand: x - 2 = 9x + 54", "Subtract 9x from both sides: -8x - 2 = 54", "Add 2 to both sides: -8x = 56", "Divide both sides by -8: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 2 = 9(x + 6)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 6, \"d\": -2, \"x\": -7}", "seed": "10635115909848498375", "semantic_fingerprint": "sha256:7a7fb6c9d000d85ea0deffb642000203066b225781e17c7ff6d30966f6d6001a", "generator_version": "3.0"}
{"id": "v3_test_id_00005253", "prompt": "Solve the equation 5(x - 3) + 920 = -4 for x.", "solution_steps": ["Expand: 5x - 15 + 920 = -4", "Combine constants: 5x + 905 = -4", "Subtract 905 from both sides: 5x = -909", "Divide both sides by 5: x = -909/5"], "final_answer": "-909/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 3) + 920 = -4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 920, \"d\": -4}", "seed": "10207386002770543541", "semantic_fingerprint": "sha256:31804a40df71e41954fc930c6012ce16848382cb90e40afe3600bccaeb419f1a", "generator_version": "3.0"}
{"id": "v3_test_id_00005254", "prompt": "What is 503 + (-9) + (9 - (-344))?", "solution_steps": ["Add: 503 + (-9) = 494", "Subtract: 9 - (-344) = 353", "Add: 494 + 353 = 847"], "final_answer": "847", "answer_type": "integer", "kind": "expression", "math_text": "503 + (-9) + (9 - (-344))", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 503, \"b\": -9, \"c\": 9, \"d\": -344}", "seed": "14433042732840934269", "semantic_fingerprint": "sha256:8fc808421e739936e1ad7e66cfa51316a231821e3ce10ca7f01518c9d6021edf", "generator_version": "3.0"}
{"id": "v3_test_id_00005255", "prompt": "Compute: -33 - 0 * (-336 + 144) + (-42) * 54", "solution_steps": ["Add: -336 + 144 = -192", "Multiply: 0 * (-192) = 0", "Subtract: -33 - 0 = -33", "Multiply: -42 * 54 = -2268", "Add: -33 + (-2268) = -2301"], "final_answer": "-2301", "answer_type": "integer", "kind": "expression", "math_text": "-33 - 0 * (-336 + 144) + (-42) * 54", "variable": null, "family": "expression_5op", "shape": "(+ (- n (* n (+ n n))) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": 0, \"c\": -336, \"d\": 144, \"e\": -42, \"f\": 54}", "seed": "13552743676237282362", "semantic_fingerprint": "sha256:9a39b87ba512618417d59b4abe163f7791c25dedbc8e4b655753cb2a3fde6cf4", "generator_version": "3.0"}
{"id": "v3_test_id_00005256", "prompt": "Calculate: 4 + 907 + 62 / 951", "solution_steps": ["Add: 4 + 907 = 911", "Divide: 62 / 951 = 62/951", "Add: 911 + 62/951 = 866423/951"], "final_answer": "866423/951", "answer_type": "rational", "kind": "expression", "math_text": "4 + 907 + 62 / 951", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 907, \"c\": 62, \"d\": 951}", "seed": "1086394741780270038", "semantic_fingerprint": "sha256:5e1e46af6178d54aa12e81aaef0cdae5e6f79ce3211f1142e5483e32cdd46cd5", "generator_version": "3.0"}
{"id": "v3_test_id_00005257", "prompt": "Compute: 78 * (6 + 747)", "solution_steps": ["Add: 6 + 747 = 753", "Multiply: 78 * 753 = 58734"], "final_answer": "58734", "answer_type": "integer", "kind": "expression", "math_text": "78 * (6 + 747)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 78, \"b\": 6, \"c\": 747}", "seed": "9796239719225129776", "semantic_fingerprint": "sha256:7af965544fab255da0a326c06c64f4a778c3eaf9491f22ca0fb43fbf3dae5a6d", "generator_version": "3.0"}
{"id": "v3_test_id_00005258", "prompt": "What value of x satisfies -4(x - 393) = 7(x - 77) + 320?", "solution_steps": ["Expand: -4x + 1572 = 7(x - 77) + 320", "Expand: -4x + 1572 = 7x - 539 + 320", "Combine constants: -4x + 1572 = 7x - 219", "Subtract 7x from both sides: -11x + 1572 = -219", "Subtract 1572 from both sides: -11x = -1791", "Divide both sides by -11: x = 1791/11"], "final_answer": "1791/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x - 393) = 7(x - 77) + 320", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 393, \"c\": 7, \"d\": 77, \"e\": 320}", "seed": "18048650912669037485", "semantic_fingerprint": "sha256:24fd3b2da42260d96e3802e479797b4a16e7e60687fc6398cbb29ca8cb61e327", "generator_version": "3.0"}
{"id": "v3_test_id_00005259", "prompt": "Calculate: -456 + 92 / (-6) + (-7 + 646)", "solution_steps": ["Divide: 92 / (-6) = -46/3", "Add: -456 + (-46/3) = -1414/3", "Add: -7 + 646 = 639", "Add: -1414/3 + 639 = 503/3"], "final_answer": "503/3", "answer_type": "rational", "kind": "expression", "math_text": "-456 + 92 / (-6) + (-7 + 646)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (/ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -456, \"b\": 92, \"c\": -6, \"d\": -7, \"e\": 646}", "seed": "17527070894673127671", "semantic_fingerprint": "sha256:30c82b3de83f2387cd6f47138739645514e4fda20ab4d8439314fd7cb71df749", "generator_version": "3.0"}
{"id": "v3_test_id_00005260", "prompt": "Compute: 79 * (-499 / 81)", "solution_steps": ["Divide: -499 / 81 = -499/81", "Multiply: 79 * (-499/81) = -39421/81"], "final_answer": "-39421/81", "answer_type": "rational", "kind": "expression", "math_text": "79 * (-499 / 81)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": -499, \"c\": 81}", "seed": "15886353319566919609", "semantic_fingerprint": "sha256:91c2b71142ba1025ba99ed0ad11155d26a81ef27f45cd19ca0bc203988d0bc43", "generator_version": "3.0"}
{"id": "v3_test_id_00005261", "prompt": "Compute: -86 - (-666) - (-47) / 70", "solution_steps": ["Subtract: -86 - (-666) = 580", "Divide: -47 / 70 = -47/70", "Subtract: 580 - (-47/70) = 40647/70"], "final_answer": "40647/70", "answer_type": "rational", "kind": "expression", "math_text": "-86 - (-666) - (-47) / 70", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": -666, \"c\": -47, \"d\": 70}", "seed": "11019551892480376362", "semantic_fingerprint": "sha256:8d0949ee6e00b116e195a284f2ae666632e53f1c5fde3bcb853374ba3739b5f9", "generator_version": "3.0"}
{"id": "v3_test_id_00005262", "prompt": "Solve the equation x + 63 = 10x for x.", "solution_steps": ["Subtract 10x from both sides: -9x + 63 = 0", "Subtract 63 from both sides: -9x = -63", "Divide both sides by -9: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 63 = 10x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 10, \"c\": 63, \"x\": 7}", "seed": "13476249578920602096", "semantic_fingerprint": "sha256:fb8c3b7827d214598f687d92971d3cb83f450e41f3a01b2d2c45ee6305988f7f", "generator_version": "3.0"}
{"id": "v3_test_id_00005263", "prompt": "Calculate: 0 * 678 / 635", "solution_steps": ["Multiply: 0 * 678 = 0", "Divide: 0 / 635 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * 678 / 635", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 678, \"c\": 635}", "seed": "12118987890818200559", "semantic_fingerprint": "sha256:4b1d0cd9eedf9c3e6d26550c9fba0dd795260eb5078db0c4601168b5330e3832", "generator_version": "3.0"}
{"id": "v3_test_id_00005264", "prompt": "Compute: 9 + (-92) - (3 / (-276) - (-69)) * 20", "solution_steps": ["Add: 9 + (-92) = -83", "Divide: 3 / (-276) = -1/92", "Subtract: -1/92 - (-69) = 6347/92", "Multiply: (6347/92) * 20 = 31735/23", "Subtract: -83 - 31735/23 = -33644/23"], "final_answer": "-33644/23", "answer_type": "rational", "kind": "expression", "math_text": "9 + (-92) - (3 / (-276) - (-69)) * 20", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (* (- (/ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -92, \"c\": 3, \"d\": -276, \"e\": -69, \"f\": 20}", "seed": "6142560435452864180", "semantic_fingerprint": "sha256:da7087419bea66147e4dbea892d16d254d2d0774aba1e7785acabd810c4d54e4", "generator_version": "3.0"}
{"id": "v3_test_id_00005265", "prompt": "Evaluate: 68 / (-8) / 89", "solution_steps": ["Divide: 68 / (-8) = -17/2", "Divide: (-17/2) / 89 = -17/178"], "final_answer": "-17/178", "answer_type": "rational", "kind": "expression", "math_text": "68 / (-8) / 89", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": -8, \"c\": 89}", "seed": "4987691189216802826", "semantic_fingerprint": "sha256:da0aba37a09315e8ed5b4d2f24bf4f52566b214537bc45d0e8cc97513d8ffc6b", "generator_version": "3.0"}
{"id": "v3_test_id_00005266", "prompt": "Compute: 1 * (-4 / (-1))", "solution_steps": ["Divide: -4 / (-1) = 4", "Multiply: 1 * 4 = 4"], "final_answer": "4", "answer_type": "integer", "kind": "expression", "math_text": "1 * (-4 / (-1))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -4, \"c\": -1}", "seed": "2647160894222998886", "semantic_fingerprint": "sha256:c253fd005526a9daf8bdbd31162d2d187c2ba4fea7a9ad9f4fca6ad6d7b337f2", "generator_version": "3.0"}
{"id": "v3_test_id_00005267", "prompt": "Evaluate: 6 + ((3 - 117) / (-138) - (-738 - 847))", "solution_steps": ["Subtract: 3 - 117 = -114", "Divide: -114 / (-138) = 19/23", "Subtract: -738 - 847 = -1585", "Subtract: 19/23 - (-1585) = 36474/23", "Add: 6 + 36474/23 = 36612/23"], "final_answer": "36612/23", "answer_type": "rational", "kind": "expression", "math_text": "6 + ((3 - 117) / (-138) - (-738 - 847))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (/ (- n n) n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 117, \"d\": -138, \"e\": -738, \"f\": 847}", "seed": "1585276004733981150", "semantic_fingerprint": "sha256:20adb7a44de3d2c71ce6c9f54e8741d6b0bcb3b826a6bc070e3f47e1ea377e83", "generator_version": "3.0"}
{"id": "v3_test_id_00005268", "prompt": "What value of x satisfies 5x = x + 614?", "solution_steps": ["Subtract x from both sides: 4x = 614", "Divide both sides by 4: x = 307/2"], "final_answer": "307/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x = x + 614", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 614}", "seed": "4774781487825471905", "semantic_fingerprint": "sha256:012bc10ca9419331b34d762cddec4eaf04f78ac3ec7a3ce965f7cc4ba4b2802c", "generator_version": "3.0"}
{"id": "v3_test_id_00005269", "prompt": "Solve the equation -10x - 176 = x for x.", "solution_steps": ["Subtract x from both sides: -11x - 176 = 0", "Add 176 to both sides: -11x = 176", "Divide both sides by -11: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10x - 176 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"c\": -176, \"x\": -16}", "seed": "5106578515833594835", "semantic_fingerprint": "sha256:e1e2a36687aacbf1817901dd61d2386b08263554037bedba9470acaf4819acbb", "generator_version": "3.0"}
{"id": "v3_test_id_00005270", "prompt": "Solve for x: 6x - 1 = 8x + 21", "solution_steps": ["Subtract 8x from both sides: -2x - 1 = 21", "Add 1 to both sides: -2x = 22", "Divide both sides by -2: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 1 = 8x + 21", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 1, \"c\": 8, \"e\": 21, \"x\": -11}", "seed": "5285101943442984499", "semantic_fingerprint": "sha256:90e5926ceb73fad472a1011fe8a56c5a2469ea76bbbf684366a2d1462b63d29b", "generator_version": "3.0"}
{"id": "v3_test_id_00005271", "prompt": "What value of x satisfies -7x + 6 = x - 146?", "solution_steps": ["Subtract x from both sides: -8x + 6 = -146", "Subtract 6 from both sides: -8x = -152", "Divide both sides by -8: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7x + 6 = x - 146", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 6, \"d\": -146, \"x\": 19}", "seed": "16396332370724855214", "semantic_fingerprint": "sha256:af71315bb3c47e2c82f1282e57beb2482dfdb71685f6272d55f422fe7f34f9c6", "generator_version": "3.0"}
{"id": "v3_test_id_00005272", "prompt": "What is -9 / 70 * (10 - 0)?", "solution_steps": ["Divide: -9 / 70 = -9/70", "Subtract: 10 - 0 = 10", "Multiply: (-9/70) * 10 = -9/7"], "final_answer": "-9/7", "answer_type": "rational", "kind": "expression", "math_text": "-9 / 70 * (10 - 0)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 70, \"c\": 10, \"d\": 0}", "seed": "9196883983670526679", "semantic_fingerprint": "sha256:43c684e55691cab642f182a0a8e5c5b169d02381fd55ba944aa1e09df3999302", "generator_version": "3.0"}
{"id": "v3_test_id_00005273", "prompt": "Evaluate: 7 + 42 + 75 / (-1)", "solution_steps": ["Add: 7 + 42 = 49", "Divide: 75 / (-1) = -75", "Add: 49 + (-75) = -26"], "final_answer": "-26", "answer_type": "integer", "kind": "expression", "math_text": "7 + 42 + 75 / (-1)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 42, \"c\": 75, \"d\": -1}", "seed": "18106204932525169229", "semantic_fingerprint": "sha256:d76a1a0d8dee2f8a1f88690f4f78c8b3806e2e042dff88058e6a26bdc33d4194", "generator_version": "3.0"}
{"id": "v3_test_id_00005274", "prompt": "Compute: -9 * 5 * (23 * 9)", "solution_steps": ["Multiply: -9 * 5 = -45", "Multiply: 23 * 9 = 207", "Multiply: -45 * 207 = -9315"], "final_answer": "-9315", "answer_type": "integer", "kind": "expression", "math_text": "-9 * 5 * (23 * 9)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 5, \"c\": 23, \"d\": 9}", "seed": "14406227812851206611", "semantic_fingerprint": "sha256:2327d1767a97ce23af7c5d61a1375458537fb606ff3232c3e13368ebf90e17f6", "generator_version": "3.0"}
{"id": "v3_test_id_00005275", "prompt": "Calculate: 8 * (-40) * (-4 + 82)", "solution_steps": ["Multiply: 8 * (-40) = -320", "Add: -4 + 82 = 78", "Multiply: -320 * 78 = -24960"], "final_answer": "-24960", "answer_type": "integer", "kind": "expression", "math_text": "8 * (-40) * (-4 + 82)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -40, \"c\": -4, \"d\": 82}", "seed": "16310900886487589815", "semantic_fingerprint": "sha256:dc40597c7f017aec14ca49a5938afad212e302a617d38839fe7a37db22b8926f", "generator_version": "3.0"}
{"id": "v3_test_id_00005276", "prompt": "Compute: 30 + (4 - 278)", "solution_steps": ["Subtract: 4 - 278 = -274", "Add: 30 + (-274) = -244"], "final_answer": "-244", "answer_type": "integer", "kind": "expression", "math_text": "30 + (4 - 278)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": 4, \"c\": 278}", "seed": "6245126123527971033", "semantic_fingerprint": "sha256:ce3a4491f3a00b72ce709a204de4c625ec521e1ab10228e2de32bc4bb47a4d2e", "generator_version": "3.0"}
{"id": "v3_test_id_00005277", "prompt": "Solve for x: -11(x + 71) - 169 = 2(x - 553)", "solution_steps": ["Expand: -11x - 781 - 169 = 2(x - 553)", "Expand: -11x - 781 - 169 = 2x - 1106", "Combine constants: -11x - 950 = 2x - 1106", "Subtract 2x from both sides: -13x - 950 = -1106", "Add 950 to both sides: -13x = -156", "Divide both sides by -13: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 71) - 169 = 2(x - 553)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 71, \"c\": 2, \"d\": 553, \"f\": -169, \"x\": 12}", "seed": "2252791856192042169", "semantic_fingerprint": "sha256:295fd3b2262afc5ae003ca3fe0f517ceb667a7ed7585a30fce4a78cce25a89ec", "generator_version": "3.0"}
{"id": "v3_test_id_00005278", "prompt": "What value of x satisfies x - 117 = -8x?", "solution_steps": ["Add 8x to both sides: 9x - 117 = 0", "Add 117 to both sides: 9x = 117", "Divide both sides by 9: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 117 = -8x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"c\": -117, \"x\": 13}", "seed": "3832415916314689738", "semantic_fingerprint": "sha256:29f6ed06e2e22a46ca824f008fdfb050f03ba424bbd67a6c6fca2c75b95bc289", "generator_version": "3.0"}
{"id": "v3_test_id_00005279", "prompt": "What is 1 - (-594)?", "solution_steps": ["Subtract: 1 - (-594) = 595"], "final_answer": "595", "answer_type": "integer", "kind": "expression", "math_text": "1 - (-594)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -594}", "seed": "4760093941323766267", "semantic_fingerprint": "sha256:578b4bfcdf15a4593e7837109bdc47d7eb0dd635f7fdf1a3c992f756d0908e1a", "generator_version": "3.0"}
{"id": "v3_test_id_00005280", "prompt": "What value of x satisfies 4x - 730 = 5(x - 5) - 52?", "solution_steps": ["Expand: 4x - 730 = 5x - 25 - 52", "Combine constants: 4x - 730 = 5x - 77", "Subtract 5x from both sides: -x - 730 = -77", "Add 730 to both sides: -x = 653", "Divide both sides by -1: x = -653"], "final_answer": "-653", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 730 = 5(x - 5) - 52", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 730, \"c\": 5, \"d\": 5, \"e\": 52}", "seed": "11972699027241343845", "semantic_fingerprint": "sha256:e0f2ec758c42f33739e5961d9c898308c5e19a84fed3a9990967a83b0056f668", "generator_version": "3.0"}
{"id": "v3_test_id_00005281", "prompt": "What is -35 * (-69 - (-1))?", "solution_steps": ["Subtract: -69 - (-1) = -68", "Multiply: -35 * (-68) = 2380"], "final_answer": "2380", "answer_type": "integer", "kind": "expression", "math_text": "-35 * (-69 - (-1))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": -69, \"c\": -1}", "seed": "7631445325171800575", "semantic_fingerprint": "sha256:dc027a2723cf23803604e9400c9848a9f6dad8469296d1e58095f0e16091966c", "generator_version": "3.0"}
{"id": "v3_test_id_00005282", "prompt": "What is 801 + 470?", "solution_steps": ["Add: 801 + 470 = 1271"], "final_answer": "1271", "answer_type": "integer", "kind": "expression", "math_text": "801 + 470", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 801, \"b\": 470}", "seed": "17445006242637460954", "semantic_fingerprint": "sha256:421bf97b4e921a7cb32bb07c87f13775b0e00e21af124bb9661cb2394d085f1d", "generator_version": "3.0"}
{"id": "v3_test_id_00005283", "prompt": "Compute: -8 * 9", "solution_steps": ["Multiply: -8 * 9 = -72"], "final_answer": "-72", "answer_type": "integer", "kind": "expression", "math_text": "-8 * 9", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 9}", "seed": "5996337483300535084", "semantic_fingerprint": "sha256:1afe19a6255fb36ccc9dfff0f9f692d1f5ae6638334958b757716363871a6979", "generator_version": "3.0"}
{"id": "v3_test_id_00005284", "prompt": "Compute: -1 * 7 / (81 + 84 * (4 + 41))", "solution_steps": ["Multiply: -1 * 7 = -7", "Add: 4 + 41 = 45", "Multiply: 84 * 45 = 3780", "Add: 81 + 3780 = 3861", "Divide: -7 / 3861 = -7/3861"], "final_answer": "-7/3861", "answer_type": "rational", "kind": "expression", "math_text": "-1 * 7 / (81 + 84 * (4 + 41))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (+ n (* n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 7, \"c\": 81, \"d\": 84, \"e\": 4, \"f\": 41}", "seed": "1479562649182391091", "semantic_fingerprint": "sha256:b7bf81d404bff7a3e82770bc3427d25b207a00299ef55e7108756817f38d1a79", "generator_version": "3.0"}
{"id": "v3_test_id_00005285", "prompt": "Calculate: -5 * (-49) + (-64)", "solution_steps": ["Multiply: -5 * (-49) = 245", "Add: 245 + (-64) = 181"], "final_answer": "181", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (-49) + (-64)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -49, \"c\": -64}", "seed": "12104847483464741125", "semantic_fingerprint": "sha256:b51c4bb45c0f86d31f8f8a06b118ed3a3d1bb926355ec03f658f472996df1672", "generator_version": "3.0"}
{"id": "v3_test_id_00005286", "prompt": "What is 81 * (-570) / ((-407 + (-7)) * 60)?", "solution_steps": ["Multiply: 81 * (-570) = -46170", "Add: -407 + (-7) = -414", "Multiply: -414 * 60 = -24840", "Divide: -46170 / (-24840) = 171/92"], "final_answer": "171/92", "answer_type": "rational", "kind": "expression", "math_text": "81 * (-570) / ((-407 + (-7)) * 60)", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (* (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": -570, \"c\": -407, \"d\": -7, \"e\": 60}", "seed": "8115270167607891728", "semantic_fingerprint": "sha256:4240e64a303d34e5a8dfbc06152d12ab11126e4c71c78e979148c442c1fcb9b8", "generator_version": "3.0"}
{"id": "v3_test_id_00005287", "prompt": "What is (1 - 43) / 5?", "solution_steps": ["Subtract: 1 - 43 = -42", "Divide: -42 / 5 = -42/5"], "final_answer": "-42/5", "answer_type": "rational", "kind": "expression", "math_text": "(1 - 43) / 5", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 43, \"c\": 5}", "seed": "2767714366822191822", "semantic_fingerprint": "sha256:b1d2e2bc2676f5b5d8aa3c7f325c24a93f15d6c0e537c6b70cb472e6d534ca15", "generator_version": "3.0"}
{"id": "v3_test_id_00005288", "prompt": "Solve for x: -11(x + 306) + 2 = 3(x - 752) - 828", "solution_steps": ["Expand: -11x - 3366 + 2 = 3(x - 752) - 828", "Expand: -11x - 3366 + 2 = 3x - 2256 - 828", "Combine constants: -11x - 3364 = 3x - 2256 - 828", "Combine constants: -11x - 3364 = 3x - 3084", "Subtract 3x from both sides: -14x - 3364 = -3084", "Add 3364 to both sides: -14x = 280", "Divide both sides by -14: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 306) + 2 = 3(x - 752) - 828", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 306, \"c\": 2, \"d\": 3, \"e\": 752, \"g\": -828, \"x\": -20}", "seed": "653579463278524046", "semantic_fingerprint": "sha256:5475bf7d019d4a6f38b3bcba39f1a3d450978ad0207670b6e5947f38b4b59797", "generator_version": "3.0"}
{"id": "v3_test_id_00005289", "prompt": "Calculate: -499 / ((0 + (-7) + (-35)) * 45)", "solution_steps": ["Add: 0 + (-7) = -7", "Add: -7 + (-35) = -42", "Multiply: -42 * 45 = -1890", "Divide: -499 / (-1890) = 499/1890"], "final_answer": "499/1890", "answer_type": "rational", "kind": "expression", "math_text": "-499 / ((0 + (-7) + (-35)) * 45)", "variable": null, "family": "expression_4op", "shape": "(/ n (* (+ (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -499, \"b\": 0, \"c\": -7, \"d\": -35, \"e\": 45}", "seed": "8609421191422978105", "semantic_fingerprint": "sha256:449d01efee129e9e1a31ae8d9764c2b0ebba2b9ca2216731f1a1c50baa3e65da", "generator_version": "3.0"}
{"id": "v3_test_id_00005290", "prompt": "What value of x satisfies x = -11x + 60?", "solution_steps": ["Add 11x to both sides: 12x = 60", "Divide both sides by 12: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -11x + 60", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -11, \"c\": 60, \"x\": 5}", "seed": "6961402276631336659", "semantic_fingerprint": "sha256:337ff0477ec4e80cfa79e19a95482439ac245e7aa881fbf29ef6ec60fabebd7b", "generator_version": "3.0"}
{"id": "v3_test_id_00005291", "prompt": "What value of x satisfies 9(x + 5) - 178 = -10x?", "solution_steps": ["Expand: 9x + 45 - 178 = -10x", "Combine constants: 9x - 133 = -10x", "Add 10x to both sides: 19x - 133 = 0", "Add 133 to both sides: 19x = 133", "Divide both sides by 19: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 5) - 178 = -10x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": -10, \"e\": -178, \"x\": 7}", "seed": "2858084890979663444", "semantic_fingerprint": "sha256:48979d9bffab13bebcb74b582f6bd1eea5578989d41743236f075e3f87d2ce4f", "generator_version": "3.0"}
{"id": "v3_test_id_00005292", "prompt": "Calculate: -96 + (-57 * 6 + (-8) / (-521) + 2)", "solution_steps": ["Multiply: -57 * 6 = -342", "Divide: -8 / (-521) = 8/521", "Add: -342 + 8/521 = -178174/521", "Add: -178174/521 + 2 = -177132/521", "Add: -96 + (-177132/521) = -227148/521"], "final_answer": "-227148/521", "answer_type": "rational", "kind": "expression", "math_text": "-96 + (-57 * 6 + (-8) / (-521) + 2)", "variable": null, "family": "expression_5op", "shape": "(+ n (+ (+ (* n n) (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": -57, \"c\": 6, \"d\": -8, \"e\": -521, \"f\": 2}", "seed": "13333269281795331292", "semantic_fingerprint": "sha256:6a364915ecefa4761bd838d912e3f9834b19d2f9aeb65a8ecec0a0f63fb3111c", "generator_version": "3.0"}
{"id": "v3_test_id_00005293", "prompt": "Find x: 10x + 990 = 4(x - 1) + 910", "solution_steps": ["Expand: 10x + 990 = 4x - 4 + 910", "Combine constants: 10x + 990 = 4x + 906", "Subtract 4x from both sides: 6x + 990 = 906", "Subtract 990 from both sides: 6x = -84", "Divide both sides by 6: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x + 990 = 4(x - 1) + 910", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 990, \"c\": 4, \"d\": 1, \"f\": 910, \"x\": -14}", "seed": "5173437237055281346", "semantic_fingerprint": "sha256:5649a43ea5d2dde870a77e33bf3fa185ff2b60413140887a3e96a8df1e7d65fb", "generator_version": "3.0"}
{"id": "v3_test_id_00005294", "prompt": "Calculate: 94 - (-6 * 35 - (-5 + (7 + 85)))", "solution_steps": ["Multiply: -6 * 35 = -210", "Add: 7 + 85 = 92", "Add: -5 + 92 = 87", "Subtract: -210 - 87 = -297", "Subtract: 94 - (-297) = 391"], "final_answer": "391", "answer_type": "integer", "kind": "expression", "math_text": "94 - (-6 * 35 - (-5 + (7 + 85)))", "variable": null, "family": "expression_5op", "shape": "(- n (- (* n n) (+ n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": -6, \"c\": 35, \"d\": -5, \"e\": 7, \"f\": 85}", "seed": "6612916442249215335", "semantic_fingerprint": "sha256:c5e8746db50f49df917d29409efd5f27e2e7ed03475c43d068d430090df78594", "generator_version": "3.0"}
{"id": "v3_test_id_00005295", "prompt": "What is 47 - (62 / 36 + (-910 + (-554)) + 9)?", "solution_steps": ["Divide: 62 / 36 = 31/18", "Add: -910 + (-554) = -1464", "Add: 31/18 + (-1464) = -26321/18", "Add: -26321/18 + 9 = -26159/18", "Subtract: 47 - (-26159/18) = 27005/18"], "final_answer": "27005/18", "answer_type": "rational", "kind": "expression", "math_text": "47 - (62 / 36 + (-910 + (-554)) + 9)", "variable": null, "family": "expression_5op", "shape": "(- n (+ (+ (/ n n) (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": 62, \"c\": 36, \"d\": -910, \"e\": -554, \"f\": 9}", "seed": "11685349876212162864", "semantic_fingerprint": "sha256:0b01e9ad894ecf48d9564c941fdc7e2497f6a6a704ae263daab9471aa5deb5a8", "generator_version": "3.0"}
{"id": "v3_test_id_00005296", "prompt": "Compute: -8 * 68 + (-223)", "solution_steps": ["Multiply: -8 * 68 = -544", "Add: -544 + (-223) = -767"], "final_answer": "-767", "answer_type": "integer", "kind": "expression", "math_text": "-8 * 68 + (-223)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 68, \"c\": -223}", "seed": "8809390008812033398", "semantic_fingerprint": "sha256:c4a9c10a63f64cb177aa55ad2f483c5ebd7c6399bdd23c615493dee4a5421741", "generator_version": "3.0"}
{"id": "v3_test_id_00005297", "prompt": "Compute: 7 + (15 + (-12)) + 813", "solution_steps": ["Add: 15 + (-12) = 3", "Add: 7 + 3 = 10", "Add: 10 + 813 = 823"], "final_answer": "823", "answer_type": "integer", "kind": "expression", "math_text": "7 + (15 + (-12)) + 813", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 15, \"c\": -12, \"d\": 813}", "seed": "8467441543137025692", "semantic_fingerprint": "sha256:5776b653918a8080956f78f29d070d614cb6d5d36620a22e9ab75cf8579ae27b", "generator_version": "3.0"}
{"id": "v3_test_id_00005298", "prompt": "Compute: 45 * (-83) * 94", "solution_steps": ["Multiply: 45 * (-83) = -3735", "Multiply: -3735 * 94 = -351090"], "final_answer": "-351090", "answer_type": "integer", "kind": "expression", "math_text": "45 * (-83) * 94", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": -83, \"c\": 94}", "seed": "2959860038261343394", "semantic_fingerprint": "sha256:514c02a4df95b799c42e7e356da878ad2e10fa160d28930a80dce16fde6ef3a7", "generator_version": "3.0"}
{"id": "v3_test_id_00005299", "prompt": "What is 0 / (-2 + 54) + (-3)?", "solution_steps": ["Add: -2 + 54 = 52", "Divide: 0 / 52 = 0", "Add: 0 + (-3) = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-2 + 54) + (-3)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -2, \"c\": 54, \"d\": -3}", "seed": "15276278330952195197", "semantic_fingerprint": "sha256:e1d5ad02d4d07a0e8ef6cf6f5b1abcfbb2331cd265d7a2821b6526e79e2e4adb", "generator_version": "3.0"}
{"id": "v3_test_id_00005300", "prompt": "Calculate: (-911 + 535) * (86 - 32)", "solution_steps": ["Add: -911 + 535 = -376", "Subtract: 86 - 32 = 54", "Multiply: -376 * 54 = -20304"], "final_answer": "-20304", "answer_type": "integer", "kind": "expression", "math_text": "(-911 + 535) * (86 - 32)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -911, \"b\": 535, \"c\": 86, \"d\": 32}", "seed": "2518396671482665132", "semantic_fingerprint": "sha256:20813bf07148ea21195310d13e10f6e1bec2ab7dbd7b5ef1dd1bda68ddbf5343", "generator_version": "3.0"}
{"id": "v3_test_id_00005301", "prompt": "Solve the equation -3(x + 6) = x for x.", "solution_steps": ["Expand: -3x - 18 = x", "Subtract x from both sides: -4x - 18 = 0", "Add 18 to both sides: -4x = 18", "Divide both sides by -4: x = -9/2"], "final_answer": "-9/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x + 6) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 6}", "seed": "9898428224503336272", "semantic_fingerprint": "sha256:833174766cc24d70db3c8f4235fe65efb4da1ecf417e8296802f1bb878936e8e", "generator_version": "3.0"}
{"id": "v3_test_id_00005302", "prompt": "Calculate: -375 / (-65) * (-4) - (-428)", "solution_steps": ["Divide: -375 / (-65) = 75/13", "Multiply: (75/13) * (-4) = -300/13", "Subtract: -300/13 - (-428) = 5264/13"], "final_answer": "5264/13", "answer_type": "rational", "kind": "expression", "math_text": "-375 / (-65) * (-4) - (-428)", "variable": null, "family": "expression_3op", "shape": "(- (* (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -375, \"b\": -65, \"c\": -4, \"d\": -428}", "seed": "10419710820812231806", "semantic_fingerprint": "sha256:82f978c97aeff4c160fef1f8284386b1ea470efee770ea858e70611e350ceb66", "generator_version": "3.0"}
{"id": "v3_test_id_00005303", "prompt": "Solve the equation 3(x - 42) + 71 = x for x.", "solution_steps": ["Expand: 3x - 126 + 71 = x", "Combine constants: 3x - 55 = x", "Subtract x from both sides: 2x - 55 = 0", "Add 55 to both sides: 2x = 55", "Divide both sides by 2: x = 55/2"], "final_answer": "55/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 42) + 71 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 42, \"c\": 71}", "seed": "12935491403992362986", "semantic_fingerprint": "sha256:6995c3ec261c8ad5d92ecfe66c16996da8a448530c67ac8582e72f44609b063b", "generator_version": "3.0"}
{"id": "v3_test_id_00005304", "prompt": "Compute: -91 + (-605)", "solution_steps": ["Add: -91 + (-605) = -696"], "final_answer": "-696", "answer_type": "integer", "kind": "expression", "math_text": "-91 + (-605)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": -605}", "seed": "2928938683650961992", "semantic_fingerprint": "sha256:a84713a64bc0e8fa54798055f925a40f39fa11a8213f09030bf0c5fc2cf9d870", "generator_version": "3.0"}
{"id": "v3_test_id_00005305", "prompt": "Compute: 1 - (-6)", "solution_steps": ["Subtract: 1 - (-6) = 7"], "final_answer": "7", "answer_type": "integer", "kind": "expression", "math_text": "1 - (-6)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -6}", "seed": "7781840893059987197", "semantic_fingerprint": "sha256:ed5ace03a273575507d015729a46e8913e2162dbf9e1dd07594e629378cc8641", "generator_version": "3.0"}
{"id": "v3_test_id_00005306", "prompt": "Find x: -5(x - 44) + 57 = 7(x - 28) + 461", "solution_steps": ["Expand: -5x + 220 + 57 = 7(x - 28) + 461", "Expand: -5x + 220 + 57 = 7x - 196 + 461", "Combine constants: -5x + 277 = 7x - 196 + 461", "Combine constants: -5x + 277 = 7x + 265", "Subtract 7x from both sides: -12x + 277 = 265", "Subtract 277 from both sides: -12x = -12", "Divide both sides by -12: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 44) + 57 = 7(x - 28) + 461", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 44, \"c\": 57, \"d\": 7, \"e\": 28, \"g\": 461, \"x\": 1}", "seed": "10694243917103488562", "semantic_fingerprint": "sha256:5d3fe69697a169187e66942813065bab3858e7cb84cc447fb877f8c5528b1742", "generator_version": "3.0"}
{"id": "v3_test_id_00005307", "prompt": "Compute: -62 * (-81)", "solution_steps": ["Multiply: -62 * (-81) = 5022"], "final_answer": "5022", "answer_type": "integer", "kind": "expression", "math_text": "-62 * (-81)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": -81}", "seed": "1438119153828894237", "semantic_fingerprint": "sha256:85c36eebb62b241f0620138533fb5734dff367129a78b1e03bc47bdf80804ec1", "generator_version": "3.0"}
{"id": "v3_test_id_00005308", "prompt": "Find x: x = 2(x + 779)", "solution_steps": ["Expand: x = 2x + 1558", "Subtract 2x from both sides: -x = 1558", "Divide both sides by -1: x = -1558"], "final_answer": "-1558", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 2(x + 779)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 779}", "seed": "4257845553398555086", "semantic_fingerprint": "sha256:dbee9f190af3d3b7623cfb720bb1661be5c95f8e788bc05c2ad496f0df779bb4", "generator_version": "3.0"}
{"id": "v3_test_id_00005309", "prompt": "Solve for x: x + 23 = 4x", "solution_steps": ["Subtract 4x from both sides: -3x + 23 = 0", "Subtract 23 from both sides: -3x = -23", "Divide both sides by -3: x = 23/3"], "final_answer": "23/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 23 = 4x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 4}", "seed": "18270300307327592266", "semantic_fingerprint": "sha256:fb0920de58c9634c9fd4f4002fbbd00bfd61eb61457bab1c7fb3534f59f0f218", "generator_version": "3.0"}
{"id": "v3_test_id_00005310", "prompt": "Find x: x = -2(x - 33) - 93", "solution_steps": ["Expand: x = -2x + 66 - 93", "Combine constants: x = -2x - 27", "Add 2x to both sides: 3x = -27", "Divide both sides by 3: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -2(x - 33) - 93", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 33, \"d\": -93, \"x\": -9}", "seed": "16856055896206528690", "semantic_fingerprint": "sha256:3dfec115086d2369722fc1516ceda8abe73f9ae6d22f25ead221be38323af621", "generator_version": "3.0"}
{"id": "v3_test_id_00005311", "prompt": "Evaluate: 32 - (-5) * ((5 - (-838)) * (441 / 717))", "solution_steps": ["Subtract: 5 - (-838) = 843", "Divide: 441 / 717 = 147/239", "Multiply: 843 * (147/239) = 123921/239", "Multiply: -5 * (123921/239) = -619605/239", "Subtract: 32 - (-619605/239) = 627253/239"], "final_answer": "627253/239", "answer_type": "rational", "kind": "expression", "math_text": "32 - (-5) * ((5 - (-838)) * (441 / 717))", "variable": null, "family": "expression_5op", "shape": "(- n (* n (* (- n n) (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 32, \"b\": -5, \"c\": 5, \"d\": -838, \"e\": 441, \"f\": 717}", "seed": "7508897517675996950", "semantic_fingerprint": "sha256:f93851a472cfa16130cca052749326df6a29ada5b78fd7583bab5a9629a7b506", "generator_version": "3.0"}
{"id": "v3_test_id_00005312", "prompt": "Calculate: 4 / (-8) / (-813 - (-21) * 0)", "solution_steps": ["Divide: 4 / (-8) = -1/2", "Multiply: -21 * 0 = 0", "Subtract: -813 - 0 = -813", "Divide: (-1/2) / (-813) = 1/1626"], "final_answer": "1/1626", "answer_type": "rational", "kind": "expression", "math_text": "4 / (-8) / (-813 - (-21) * 0)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -8, \"c\": -813, \"d\": -21, \"e\": 0}", "seed": "9230339033072676190", "semantic_fingerprint": "sha256:53c8e348f399d4bcd58753463532a85ee27ed10e63794c6dc11c9431f456472a", "generator_version": "3.0"}
{"id": "v3_test_id_00005313", "prompt": "Compute: -2 + (-84)", "solution_steps": ["Add: -2 + (-84) = -86"], "final_answer": "-86", "answer_type": "integer", "kind": "expression", "math_text": "-2 + (-84)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -84}", "seed": "3620105176059449365", "semantic_fingerprint": "sha256:186a0718ef897f7f24828cd64e2960fccc13fca44a109bb970c659da38fd1ba3", "generator_version": "3.0"}
{"id": "v3_test_id_00005314", "prompt": "Compute: 3 / (-508)", "solution_steps": ["Divide: 3 / (-508) = -3/508"], "final_answer": "-3/508", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-508)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -508}", "seed": "11133718627053261726", "semantic_fingerprint": "sha256:0b196fd69eeb5ce02939bd85b6abbc627f22622f9f754329018cc30c976dfcb0", "generator_version": "3.0"}
{"id": "v3_test_id_00005315", "prompt": "Find x: -12x = 7x - 361", "solution_steps": ["Subtract 7x from both sides: -19x = -361", "Divide both sides by -19: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x = 7x - 361", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 7, \"d\": -361, \"x\": 19}", "seed": "5491897282692745111", "semantic_fingerprint": "sha256:dbe17f996a7be821b5dc3b7264c79206c19292030a880d4ca00d3762d4998e90", "generator_version": "3.0"}
{"id": "v3_test_id_00005316", "prompt": "Calculate: -8 * (-48 / 1)", "solution_steps": ["Divide: -48 / 1 = -48", "Multiply: -8 * (-48) = 384"], "final_answer": "384", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (-48 / 1)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -48, \"c\": 1}", "seed": "8092788598133079074", "semantic_fingerprint": "sha256:e5bd5ffd2c52f4271b7736b376b21c30cde2d98f5677c3cd7b900a486b30131a", "generator_version": "3.0"}
{"id": "v3_test_id_00005317", "prompt": "Solve the equation x + 63 = 5(x + 59) - 232 for x.", "solution_steps": ["Expand: x + 63 = 5x + 295 - 232", "Combine constants: x + 63 = 5x + 63", "Subtract 5x from both sides: -4x + 63 = 63", "Subtract 63 from both sides: -4x = 0", "Divide both sides by -4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 63 = 5(x + 59) - 232", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": 5, \"c\": 59, \"e\": -232, \"x\": 0}", "seed": "7844223138346762582", "semantic_fingerprint": "sha256:33cb1afe4ca81095fc2281bd8e811bf0c19fc6e8db26ed0d0454054a59be2993", "generator_version": "3.0"}
{"id": "v3_test_id_00005318", "prompt": "Evaluate: 80 * (-62) - (-11)", "solution_steps": ["Multiply: 80 * (-62) = -4960", "Subtract: -4960 - (-11) = -4949"], "final_answer": "-4949", "answer_type": "integer", "kind": "expression", "math_text": "80 * (-62) - (-11)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": -62, \"c\": -11}", "seed": "339226308936715936", "semantic_fingerprint": "sha256:3c533ae48b9ad6bca707bb60a8bdb0b2a673721494a830e91e074a27bbf869cb", "generator_version": "3.0"}
{"id": "v3_test_id_00005319", "prompt": "Calculate: -219 * (46 + (-89) + (-91))", "solution_steps": ["Add: 46 + (-89) = -43", "Add: -43 + (-91) = -134", "Multiply: -219 * (-134) = 29346"], "final_answer": "29346", "answer_type": "integer", "kind": "expression", "math_text": "-219 * (46 + (-89) + (-91))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -219, \"b\": 46, \"c\": -89, \"d\": -91}", "seed": "4952849265923577114", "semantic_fingerprint": "sha256:6e0de2d41425fa1d7b206ed2eca928474f9efa7c09d0e6acca8555a7deae7002", "generator_version": "3.0"}
{"id": "v3_test_id_00005320", "prompt": "What is (-639 + (-221)) / (15 - (2 + 8))?", "solution_steps": ["Add: -639 + (-221) = -860", "Add: 2 + 8 = 10", "Subtract: 15 - 10 = 5", "Divide: -860 / 5 = -172"], "final_answer": "-172", "answer_type": "integer", "kind": "expression", "math_text": "(-639 + (-221)) / (15 - (2 + 8))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -639, \"b\": -221, \"c\": 15, \"d\": 2, \"e\": 8}", "seed": "6730737549662058564", "semantic_fingerprint": "sha256:ffb2eebf90963dafe298ea7105ca19c0a82c0e42ed6531e4a8ee7066752b8a30", "generator_version": "3.0"}
{"id": "v3_test_id_00005321", "prompt": "Compute: 98 * (-9 - 7)", "solution_steps": ["Subtract: -9 - 7 = -16", "Multiply: 98 * (-16) = -1568"], "final_answer": "-1568", "answer_type": "integer", "kind": "expression", "math_text": "98 * (-9 - 7)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": -9, \"c\": 7}", "seed": "8513722784808854471", "semantic_fingerprint": "sha256:29c303982f091786a176288d3d41c43891529589cfa10efc55d527b391d9e9b3", "generator_version": "3.0"}
{"id": "v3_test_id_00005322", "prompt": "Compute: -36 - (-2) - (80 + 27 + (-36)) + (-36)", "solution_steps": ["Subtract: -36 - (-2) = -34", "Add: 80 + 27 = 107", "Add: 107 + (-36) = 71", "Subtract: -34 - 71 = -105", "Add: -105 + (-36) = -141"], "final_answer": "-141", "answer_type": "integer", "kind": "expression", "math_text": "-36 - (-2) - (80 + 27 + (-36)) + (-36)", "variable": null, "family": "expression_5op", "shape": "(+ (- (- n n) (+ (+ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": -2, \"c\": 80, \"d\": 27, \"e\": -36, \"f\": -36}", "seed": "11892063323634685852", "semantic_fingerprint": "sha256:17321fb8537a0971de5d7dd8c5066fd8e87873ea11528ff2a1cdfe79ddb50d91", "generator_version": "3.0"}
{"id": "v3_test_id_00005323", "prompt": "Find x: 10(x + 40) + 427 = 8(x - 77)", "solution_steps": ["Expand: 10x + 400 + 427 = 8(x - 77)", "Expand: 10x + 400 + 427 = 8x - 616", "Combine constants: 10x + 827 = 8x - 616", "Subtract 8x from both sides: 2x + 827 = -616", "Subtract 827 from both sides: 2x = -1443", "Divide both sides by 2: x = -1443/2"], "final_answer": "-1443/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 40) + 427 = 8(x - 77)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 40, \"c\": 427, \"d\": 8, \"e\": 77}", "seed": "14069066800370920050", "semantic_fingerprint": "sha256:1aba54da88a41413339ac143eb73a51232c00fde31e61145d2e4219eddad74d8", "generator_version": "3.0"}
{"id": "v3_test_id_00005324", "prompt": "Evaluate: (-13 + 6) * (-79)", "solution_steps": ["Add: -13 + 6 = -7", "Multiply: -7 * (-79) = 553"], "final_answer": "553", "answer_type": "integer", "kind": "expression", "math_text": "(-13 + 6) * (-79)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": 6, \"c\": -79}", "seed": "17283482266352011212", "semantic_fingerprint": "sha256:9afefc9b8f73bccb02c5a00a3482425c58b99222e100a3195b8dfb45a884306b", "generator_version": "3.0"}
{"id": "v3_test_id_00005325", "prompt": "Calculate: -418 + 9 / 1", "solution_steps": ["Divide: 9 / 1 = 9", "Add: -418 + 9 = -409"], "final_answer": "-409", "answer_type": "integer", "kind": "expression", "math_text": "-418 + 9 / 1", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -418, \"b\": 9, \"c\": 1}", "seed": "4114456686929003609", "semantic_fingerprint": "sha256:d16ec00b4e15e6f39888ccf9a8c3b573493862bf27db8d2fb5c9023721b2be45", "generator_version": "3.0"}
{"id": "v3_test_id_00005326", "prompt": "Solve for x: -2(x + 9) - 28 = -9(x - 64) - 636", "solution_steps": ["Expand: -2x - 18 - 28 = -9(x - 64) - 636", "Expand: -2x - 18 - 28 = -9x + 576 - 636", "Combine constants: -2x - 46 = -9x + 576 - 636", "Combine constants: -2x - 46 = -9x - 60", "Add 9x to both sides: 7x - 46 = -60", "Add 46 to both sides: 7x = -14", "Divide both sides by 7: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 9) - 28 = -9(x - 64) - 636", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 9, \"c\": 28, \"d\": -9, \"e\": 64, \"g\": -636, \"x\": -2}", "seed": "6371115051214813520", "semantic_fingerprint": "sha256:72f876cd5adc93bfc188a9b1d1477317e7006a6b8e89587c083bc8d1a0b27e55", "generator_version": "3.0"}
{"id": "v3_test_id_00005327", "prompt": "What is 0 * (-1 * (-5 * 14)) - (-63) * (-453)?", "solution_steps": ["Multiply: -5 * 14 = -70", "Multiply: -1 * (-70) = 70", "Multiply: 0 * 70 = 0", "Multiply: -63 * (-453) = 28539", "Subtract: 0 - 28539 = -28539"], "final_answer": "-28539", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-1 * (-5 * 14)) - (-63) * (-453)", "variable": null, "family": "expression_5op", "shape": "(- (* n (* n (* n n))) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -1, \"c\": -5, \"d\": 14, \"e\": -63, \"f\": -453}", "seed": "8368665267872567007", "semantic_fingerprint": "sha256:b63bc53d96ea37010b7d0da7616d1462cb3c09f6ce6339d428e1aebd87b2e40c", "generator_version": "3.0"}
{"id": "v3_test_id_00005328", "prompt": "Find x: x - 252 = 9(x - 44)", "solution_steps": ["Expand: x - 252 = 9x - 396", "Subtract 9x from both sides: -8x - 252 = -396", "Add 252 to both sides: -8x = -144", "Divide both sides by -8: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 252 = 9(x - 44)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 44, \"d\": -252, \"x\": 18}", "seed": "4474796055378564576", "semantic_fingerprint": "sha256:d7ec138faaf586eaf70ced4016d889baa1bbd4122509537eeac3b0c3314a8989", "generator_version": "3.0"}
{"id": "v3_test_id_00005329", "prompt": "Solve the equation 3(x + 76) = -4x - 714 for x.", "solution_steps": ["Expand: 3x + 228 = -4x - 714", "Add 4x to both sides: 7x + 228 = -714", "Subtract 228 from both sides: 7x = -942", "Divide both sides by 7: x = -942/7"], "final_answer": "-942/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 76) = -4x - 714", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 76, \"c\": -4, \"d\": 714}", "seed": "8192764926213534573", "semantic_fingerprint": "sha256:1c1fc7b9b6a6ee17037d60a3b239272244e2360a2d87d86b4c6b8da4fb5ece7d", "generator_version": "3.0"}
{"id": "v3_test_id_00005330", "prompt": "Compute: (-870 / (-10 + (-438)) - (-8)) / 9", "solution_steps": ["Add: -10 + (-438) = -448", "Divide: -870 / (-448) = 435/224", "Subtract: 435/224 - (-8) = 2227/224", "Divide: (2227/224) / 9 = 2227/2016"], "final_answer": "2227/2016", "answer_type": "rational", "kind": "expression", "math_text": "(-870 / (-10 + (-438)) - (-8)) / 9", "variable": null, "family": "expression_4op", "shape": "(/ (- (/ n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -870, \"b\": -10, \"c\": -438, \"d\": -8, \"e\": 9}", "seed": "14365204133943286156", "semantic_fingerprint": "sha256:2acf96cafc800a6a01a77bd883279bc09790c16e90c188ebe78028beb5adf885", "generator_version": "3.0"}
{"id": "v3_test_id_00005331", "prompt": "Compute: 18 / (23 / (-6) + (-4) * 9)", "solution_steps": ["Divide: 23 / (-6) = -23/6", "Multiply: -4 * 9 = -36", "Add: -23/6 + (-36) = -239/6", "Divide: 18 / (-239/6) = -108/239"], "final_answer": "-108/239", "answer_type": "rational", "kind": "expression", "math_text": "18 / (23 / (-6) + (-4) * 9)", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (/ n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": 23, \"c\": -6, \"d\": -4, \"e\": 9}", "seed": "1332078100094781144", "semantic_fingerprint": "sha256:b90b58b10d3777fc3916595a1ca36a350d6127bc922d12bb4389d44b777b2337", "generator_version": "3.0"}
{"id": "v3_test_id_00005332", "prompt": "Calculate: (50 - 27 + 19) / (-4 - (-516))", "solution_steps": ["Subtract: 50 - 27 = 23", "Add: 23 + 19 = 42", "Subtract: -4 - (-516) = 512", "Divide: 42 / 512 = 21/256"], "final_answer": "21/256", "answer_type": "rational", "kind": "expression", "math_text": "(50 - 27 + 19) / (-4 - (-516))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": 27, \"c\": 19, \"d\": -4, \"e\": -516}", "seed": "15891167280163468630", "semantic_fingerprint": "sha256:2321619d244f0f1993036c2cc53b9a54a872f698017827a83ff867560fcfc0d0", "generator_version": "3.0"}
{"id": "v3_test_id_00005333", "prompt": "What is 137 + 6 - 98?", "solution_steps": ["Add: 137 + 6 = 143", "Subtract: 143 - 98 = 45"], "final_answer": "45", "answer_type": "integer", "kind": "expression", "math_text": "137 + 6 - 98", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 137, \"b\": 6, \"c\": 98}", "seed": "11831708585088435727", "semantic_fingerprint": "sha256:43802c58f065094b61d2645c1395b97a944bb2eba3b3823ffbe56c29411f640f", "generator_version": "3.0"}
{"id": "v3_test_id_00005334", "prompt": "Calculate: 9 * 0 / (-6 - (-8))", "solution_steps": ["Multiply: 9 * 0 = 0", "Subtract: -6 - (-8) = 2", "Divide: 0 / 2 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "9 * 0 / (-6 - (-8))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 0, \"c\": -6, \"d\": -8}", "seed": "18184514609507166457", "semantic_fingerprint": "sha256:171c6f1f6cfcbb8d1f4cdaa9e126ca0d1e5ee678e1c2069f7aca67f36f7d7ed5", "generator_version": "3.0"}
{"id": "v3_test_id_00005335", "prompt": "What is -71 / (-63) * (-18) / 18 / 84 + 5?", "solution_steps": ["Divide: -71 / (-63) = 71/63", "Multiply: (71/63) * (-18) = -142/7", "Divide: (-142/7) / 18 = -71/63", "Divide: (-71/63) / 84 = -71/5292", "Add: -71/5292 + 5 = 26389/5292"], "final_answer": "26389/5292", "answer_type": "rational", "kind": "expression", "math_text": "-71 / (-63) * (-18) / 18 / 84 + 5", "variable": null, "family": "expression_5op", "shape": "(+ (/ (/ (* (/ n n) n) n) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": -63, \"c\": -18, \"d\": 18, \"e\": 84, \"f\": 5}", "seed": "4677398137612679324", "semantic_fingerprint": "sha256:0285834bb53730bb4c19c146d0e87296a525a98b62cec3dc0aac509be9a1e5ab", "generator_version": "3.0"}
{"id": "v3_test_id_00005336", "prompt": "What value of x satisfies -5(x + 573) - 19 = 5x?", "solution_steps": ["Expand: -5x - 2865 - 19 = 5x", "Combine constants: -5x - 2884 = 5x", "Subtract 5x from both sides: -10x - 2884 = 0", "Add 2884 to both sides: -10x = 2884", "Divide both sides by -10: x = -1442/5"], "final_answer": "-1442/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x + 573) - 19 = 5x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 573, \"c\": 19, \"d\": 5}", "seed": "2163981261869455606", "semantic_fingerprint": "sha256:6421d18932fa7b7fc5f9fedfa2f947d446e97c1cc0db7891aff9b2c4147eaaa3", "generator_version": "3.0"}
{"id": "v3_test_id_00005337", "prompt": "Evaluate: 11 * 452", "solution_steps": ["Multiply: 11 * 452 = 4972"], "final_answer": "4972", "answer_type": "integer", "kind": "expression", "math_text": "11 * 452", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 452}", "seed": "10406516744432197142", "semantic_fingerprint": "sha256:f69d7c878fb7122aba8538cfbd16f669cf07d3524b7326b06cbba0d89522d2c5", "generator_version": "3.0"}
{"id": "v3_test_id_00005338", "prompt": "Calculate: 94 * 0 * (-1 - (-99) + 1)", "solution_steps": ["Multiply: 94 * 0 = 0", "Subtract: -1 - (-99) = 98", "Add: 98 + 1 = 99", "Multiply: 0 * 99 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "94 * 0 * (-1 - (-99) + 1)", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (+ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": 0, \"c\": -1, \"d\": -99, \"e\": 1}", "seed": "7708327340282055417", "semantic_fingerprint": "sha256:11d1d4e3b6c3273376e396da21e96a85656964d9ed18538b7f73b17513455a68", "generator_version": "3.0"}
{"id": "v3_test_id_00005339", "prompt": "Solve the equation 9(x + 24) - 23 = 67 for x.", "solution_steps": ["Expand: 9x + 216 - 23 = 67", "Combine constants: 9x + 193 = 67", "Subtract 193 from both sides: 9x = -126", "Divide both sides by 9: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 24) - 23 = 67", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 24, \"c\": 23, \"e\": 67, \"x\": -14}", "seed": "16321272529030282473", "semantic_fingerprint": "sha256:55476bdf5dfed8ef9e5c792b1911cc7666e07ec03a719fb917aa3de3ad29459d", "generator_version": "3.0"}
{"id": "v3_test_id_00005340", "prompt": "Compute: -75 * (-7 / (-37 / (-10)))", "solution_steps": ["Divide: -37 / (-10) = 37/10", "Divide: -7 / (37/10) = -70/37", "Multiply: -75 * (-70/37) = 5250/37"], "final_answer": "5250/37", "answer_type": "rational", "kind": "expression", "math_text": "-75 * (-7 / (-37 / (-10)))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": -7, \"c\": -37, \"d\": -10}", "seed": "18102268984281224867", "semantic_fingerprint": "sha256:9d720084578772ddcd008ac750e52eec013f2531781360c705db22339103a70c", "generator_version": "3.0"}
{"id": "v3_test_id_00005341", "prompt": "What value of x satisfies -6(x - 55) + 123 = 7x - 592?", "solution_steps": ["Expand: -6x + 330 + 123 = 7x - 592", "Combine constants: -6x + 453 = 7x - 592", "Subtract 7x from both sides: -13x + 453 = -592", "Subtract 453 from both sides: -13x = -1045", "Divide both sides by -13: x = 1045/13"], "final_answer": "1045/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x - 55) + 123 = 7x - 592", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 55, \"c\": 123, \"d\": 7, \"e\": 592}", "seed": "9306749462043812111", "semantic_fingerprint": "sha256:451b70a91dbdac6d1700a4d8a57364675352f2752315a1b335a191ff3aea5a82", "generator_version": "3.0"}
{"id": "v3_test_id_00005342", "prompt": "What value of x satisfies x + 4 = 19?", "solution_steps": ["Subtract 4 from both sides: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4 = 19", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"c\": 19, \"x\": 15}", "seed": "3739808939306127647", "semantic_fingerprint": "sha256:c5e10978fb63321e3793a7fa9dca3377b7e719fcc9fcde7499a7fabd25261f2b", "generator_version": "3.0"}
{"id": "v3_test_id_00005343", "prompt": "Solve the equation x + 9 = 2(x - 2) for x.", "solution_steps": ["Expand: x + 9 = 2x - 4", "Subtract 2x from both sides: -x + 9 = -4", "Subtract 9 from both sides: -x = -13", "Divide both sides by -1: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 9 = 2(x - 2)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"d\": 9, \"x\": 13}", "seed": "10575700040401714832", "semantic_fingerprint": "sha256:9da3d4a0ce1bb514249445811e6f3ff6b860195ff4c76d42ed5129057f49ddb6", "generator_version": "3.0"}
{"id": "v3_test_id_00005344", "prompt": "Solve for x: 9(x - 120) + 7 = x - 929", "solution_steps": ["Expand: 9x - 1080 + 7 = x - 929", "Combine constants: 9x - 1073 = x - 929", "Subtract x from both sides: 8x - 1073 = -929", "Add 1073 to both sides: 8x = 144", "Divide both sides by 8: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 120) + 7 = x - 929", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 120, \"c\": 7, \"e\": -929, \"x\": 18}", "seed": "4355389390376315215", "semantic_fingerprint": "sha256:815db8d6bade3ec6df659747072acc2a40ec2d11c7a49c2d791fd66fcec71d2a", "generator_version": "3.0"}
{"id": "v3_test_id_00005345", "prompt": "Evaluate: -55 * 2 * (-476)", "solution_steps": ["Multiply: -55 * 2 = -110", "Multiply: -110 * (-476) = 52360"], "final_answer": "52360", "answer_type": "integer", "kind": "expression", "math_text": "-55 * 2 * (-476)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": 2, \"c\": -476}", "seed": "1058756478052034695", "semantic_fingerprint": "sha256:621a10c4d5cb10b7baa0cb34113ef1ccfe8684297b542976e342717aea2dfae8", "generator_version": "3.0"}
{"id": "v3_test_id_00005346", "prompt": "Find x: x + 4 = 5(x - 608) + 1", "solution_steps": ["Expand: x + 4 = 5x - 3040 + 1", "Combine constants: x + 4 = 5x - 3039", "Subtract 5x from both sides: -4x + 4 = -3039", "Subtract 4 from both sides: -4x = -3043", "Divide both sides by -4: x = 3043/4"], "final_answer": "3043/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 4 = 5(x - 608) + 1", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": 608, \"d\": 1}", "seed": "13047582737711132904", "semantic_fingerprint": "sha256:00e9a8c1d5a62474c1c4c6df827154e6851679c2a9cb3e141c794e4c1dc3b795", "generator_version": "3.0"}
{"id": "v3_test_id_00005347", "prompt": "Solve for x: 6x = x - 30", "solution_steps": ["Subtract x from both sides: 5x = -30", "Divide both sides by 5: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = x - 30", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"c\": -30, \"x\": -6}", "seed": "3117342689493768036", "semantic_fingerprint": "sha256:466fb59ed92e75a24a70af3ed6a7a76b1f98711b30b09baf6141f78f7225f75d", "generator_version": "3.0"}
{"id": "v3_test_id_00005348", "prompt": "Calculate: -3 * (-90 * (-5 - (-354))) - 2", "solution_steps": ["Subtract: -5 - (-354) = 349", "Multiply: -90 * 349 = -31410", "Multiply: -3 * (-31410) = 94230", "Subtract: 94230 - 2 = 94228"], "final_answer": "94228", "answer_type": "integer", "kind": "expression", "math_text": "-3 * (-90 * (-5 - (-354))) - 2", "variable": null, "family": "expression_4op", "shape": "(- (* n (* n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -90, \"c\": -5, \"d\": -354, \"e\": 2}", "seed": "4458853562613826083", "semantic_fingerprint": "sha256:ba3f176eeebd11a0576eaba8c26f1fcde84b132dfba79296e0472a21d9f5183c", "generator_version": "3.0"}
{"id": "v3_test_id_00005349", "prompt": "What value of x satisfies 3(x + 26) - 2 = 7x + 76?", "solution_steps": ["Expand: 3x + 78 - 2 = 7x + 76", "Combine constants: 3x + 76 = 7x + 76", "Subtract 7x from both sides: -4x + 76 = 76", "Subtract 76 from both sides: -4x = 0", "Divide both sides by -4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 26) - 2 = 7x + 76", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 26, \"c\": 2, \"d\": 7, \"f\": 76, \"x\": 0}", "seed": "1606941376344578903", "semantic_fingerprint": "sha256:b7bd29561fb6c785aa7a192822b20a5e21ebbd9d88e9a0bc0cbe1a90347a5c22", "generator_version": "3.0"}
{"id": "v3_test_id_00005350", "prompt": "What is 3 + (-40) - 13 - (-26 + 4)?", "solution_steps": ["Add: 3 + (-40) = -37", "Subtract: -37 - 13 = -50", "Add: -26 + 4 = -22", "Subtract: -50 - (-22) = -28"], "final_answer": "-28", "answer_type": "integer", "kind": "expression", "math_text": "3 + (-40) - 13 - (-26 + 4)", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -40, \"c\": 13, \"d\": -26, \"e\": 4}", "seed": "17827939603718312544", "semantic_fingerprint": "sha256:6da7f30a41789c39c2c3c94938182942e03e55312d8d4072ef696b13556101a2", "generator_version": "3.0"}
{"id": "v3_test_id_00005351", "prompt": "What is (429 + (-340)) * (345 + 0) / 4 * 0?", "solution_steps": ["Add: 429 + (-340) = 89", "Add: 345 + 0 = 345", "Multiply: 89 * 345 = 30705", "Divide: 30705 / 4 = 30705/4", "Multiply: (30705/4) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(429 + (-340)) * (345 + 0) / 4 * 0", "variable": null, "family": "expression_5op", "shape": "(* (/ (* (+ n n) (+ n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 429, \"b\": -340, \"c\": 345, \"d\": 0, \"e\": 4, \"f\": 0}", "seed": "4011396269316348352", "semantic_fingerprint": "sha256:f3663a513e177d6d1844928ade5d094fd7dc939cbc4ccd952444ce890177adfd", "generator_version": "3.0"}
{"id": "v3_test_id_00005352", "prompt": "Solve for x: 5x = x - 52", "solution_steps": ["Subtract x from both sides: 4x = -52", "Divide both sides by 4: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x = x - 52", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"c\": -52, \"x\": -13}", "seed": "18337570787526432846", "semantic_fingerprint": "sha256:294cef353dccb1df7fdc7fed78a515967b54e6b5b4a3d4d9e4aa97b386644dec", "generator_version": "3.0"}
{"id": "v3_test_id_00005353", "prompt": "Solve the equation 12(x - 2) + 63 = 370 for x.", "solution_steps": ["Expand: 12x - 24 + 63 = 370", "Combine constants: 12x + 39 = 370", "Subtract 39 from both sides: 12x = 331", "Divide both sides by 12: x = 331/12"], "final_answer": "331/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 2) + 63 = 370", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 63, \"d\": 370}", "seed": "6582513157768610001", "semantic_fingerprint": "sha256:9074b7d5a5c6d1b508419cc58690515fa96e90658aba7ced8544ec0c26d13962", "generator_version": "3.0"}
{"id": "v3_test_id_00005354", "prompt": "Compute: 38 / 77", "solution_steps": ["Divide: 38 / 77 = 38/77"], "final_answer": "38/77", "answer_type": "rational", "kind": "expression", "math_text": "38 / 77", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": 77}", "seed": "17943142040490159051", "semantic_fingerprint": "sha256:2f843e933ba0658ca334004e51ba472c7288933cd8a8e8760436a6088f3109b8", "generator_version": "3.0"}
{"id": "v3_test_id_00005355", "prompt": "Compute: -62 * (927 + (-67) - (-49)) + 0 * (-2)", "solution_steps": ["Add: 927 + (-67) = 860", "Subtract: 860 - (-49) = 909", "Multiply: -62 * 909 = -56358", "Multiply: 0 * (-2) = 0", "Add: -56358 + 0 = -56358"], "final_answer": "-56358", "answer_type": "integer", "kind": "expression", "math_text": "-62 * (927 + (-67) - (-49)) + 0 * (-2)", "variable": null, "family": "expression_5op", "shape": "(+ (* n (- (+ n n) n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": 927, \"c\": -67, \"d\": -49, \"e\": 0, \"f\": -2}", "seed": "1845846034300310217", "semantic_fingerprint": "sha256:61a6fca11882b6a85c2b69229aed0af0e56ed0600839d0d766cc5807c63f986f", "generator_version": "3.0"}
{"id": "v3_test_id_00005356", "prompt": "Solve for x: 9x + 3 = 3x + 51", "solution_steps": ["Subtract 3x from both sides: 6x + 3 = 51", "Subtract 3 from both sides: 6x = 48", "Divide both sides by 6: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x + 3 = 3x + 51", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 3, \"e\": 51, \"x\": 8}", "seed": "16912314433195734994", "semantic_fingerprint": "sha256:73d0e0df421bce3fe5009e37eb378d46d92cd74c5f2438393b1c18c8a6e2d95a", "generator_version": "3.0"}
{"id": "v3_test_id_00005357", "prompt": "What value of x satisfies 7(x + 106) = -5(x + 7) - 92?", "solution_steps": ["Expand: 7x + 742 = -5(x + 7) - 92", "Expand: 7x + 742 = -5x - 35 - 92", "Combine constants: 7x + 742 = -5x - 127", "Add 5x to both sides: 12x + 742 = -127", "Subtract 742 from both sides: 12x = -869", "Divide both sides by 12: x = -869/12"], "final_answer": "-869/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 106) = -5(x + 7) - 92", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 106, \"c\": -5, \"d\": 7, \"e\": 92}", "seed": "1728623408641800776", "semantic_fingerprint": "sha256:cab21227dc6c0f17ab0333374bc23f82a0dccd17bde14a571be7863b12224ec6", "generator_version": "3.0"}
{"id": "v3_test_id_00005358", "prompt": "Evaluate: -88 * 5 / (-63) + (-65)", "solution_steps": ["Multiply: -88 * 5 = -440", "Divide: -440 / (-63) = 440/63", "Add: 440/63 + (-65) = -3655/63"], "final_answer": "-3655/63", "answer_type": "rational", "kind": "expression", "math_text": "-88 * 5 / (-63) + (-65)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": 5, \"c\": -63, \"d\": -65}", "seed": "4758400358091853746", "semantic_fingerprint": "sha256:bb9472a1b0cc70aaed3fc11f7ce452af1e8355e6ef4a02cfb7056596c467a20c", "generator_version": "3.0"}
{"id": "v3_test_id_00005359", "prompt": "Calculate: -29 / 200", "solution_steps": ["Divide: -29 / 200 = -29/200"], "final_answer": "-29/200", "answer_type": "rational", "kind": "expression", "math_text": "-29 / 200", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": 200}", "seed": "1214178868727610121", "semantic_fingerprint": "sha256:1cfb5bee3d1b3bca9afb7bd8c305e0f8739de4096d8ce029ad2e0e33197b2b4a", "generator_version": "3.0"}
{"id": "v3_test_id_00005360", "prompt": "Solve for x: -4(x + 874) = -9", "solution_steps": ["Expand: -4x - 3496 = -9", "Add 3496 to both sides: -4x = 3487", "Divide both sides by -4: x = -3487/4"], "final_answer": "-3487/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 874) = -9", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 874, \"c\": -9}", "seed": "4329442259907721552", "semantic_fingerprint": "sha256:abd59582a9a824b20ea8ce6afe2b89822b85777d7a7861b97351daa1e83bc967", "generator_version": "3.0"}
{"id": "v3_test_id_00005361", "prompt": "What is 380 * (38 + (-34)) - (-5)?", "solution_steps": ["Add: 38 + (-34) = 4", "Multiply: 380 * 4 = 1520", "Subtract: 1520 - (-5) = 1525"], "final_answer": "1525", "answer_type": "integer", "kind": "expression", "math_text": "380 * (38 + (-34)) - (-5)", "variable": null, "family": "expression_3op", "shape": "(- (* n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 380, \"b\": 38, \"c\": -34, \"d\": -5}", "seed": "3715140209233626255", "semantic_fingerprint": "sha256:3ac195bfcf010407ece40e5fb2bb78a000768e4c849af1711cb15a83e3492995", "generator_version": "3.0"}
{"id": "v3_test_id_00005362", "prompt": "What is (332 - 9) * (-68) - (-949 + (-43)) / (-32)?", "solution_steps": ["Subtract: 332 - 9 = 323", "Multiply: 323 * (-68) = -21964", "Add: -949 + (-43) = -992", "Divide: -992 / (-32) = 31", "Subtract: -21964 - 31 = -21995"], "final_answer": "-21995", "answer_type": "integer", "kind": "expression", "math_text": "(332 - 9) * (-68) - (-949 + (-43)) / (-32)", "variable": null, "family": "expression_5op", "shape": "(- (* (- n n) n) (/ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 332, \"b\": 9, \"c\": -68, \"d\": -949, \"e\": -43, \"f\": -32}", "seed": "10370895197938712935", "semantic_fingerprint": "sha256:c64c3a6a4eb27a869873f1300be45583751fe608c1d64ed0a30c357e2a789686", "generator_version": "3.0"}
{"id": "v3_test_id_00005363", "prompt": "Compute: (6 + (-4)) / (-42 + (-89)) * (-43)", "solution_steps": ["Add: 6 + (-4) = 2", "Add: -42 + (-89) = -131", "Divide: 2 / (-131) = -2/131", "Multiply: (-2/131) * (-43) = 86/131"], "final_answer": "86/131", "answer_type": "rational", "kind": "expression", "math_text": "(6 + (-4)) / (-42 + (-89)) * (-43)", "variable": null, "family": "expression_4op", "shape": "(* (/ (+ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -4, \"c\": -42, \"d\": -89, \"e\": -43}", "seed": "5015026537909654503", "semantic_fingerprint": "sha256:702660021d54896827527916c5a698c536d7ec474a0938587146ea41d14a4e8a", "generator_version": "3.0"}
{"id": "v3_test_id_00005364", "prompt": "Calculate: -29 * 76 / 802", "solution_steps": ["Multiply: -29 * 76 = -2204", "Divide: -2204 / 802 = -1102/401"], "final_answer": "-1102/401", "answer_type": "rational", "kind": "expression", "math_text": "-29 * 76 / 802", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": 76, \"c\": 802}", "seed": "7295513153477416428", "semantic_fingerprint": "sha256:a94b8297b4c46b0f4c796d2bc6359eb7045d673b5a01872c69193d51d0de7927", "generator_version": "3.0"}
{"id": "v3_test_id_00005365", "prompt": "Evaluate: 5 * (-43)", "solution_steps": ["Multiply: 5 * (-43) = -215"], "final_answer": "-215", "answer_type": "integer", "kind": "expression", "math_text": "5 * (-43)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -43}", "seed": "3679503381961792582", "semantic_fingerprint": "sha256:14eb6bbcbf282c8ff8d08d413d7a644541f6b1432d50248a8d04a6ea7931fbe2", "generator_version": "3.0"}
{"id": "v3_test_id_00005366", "prompt": "Evaluate: (1 - (-457)) / 6 / ((-7 + 56) / (-7))", "solution_steps": ["Subtract: 1 - (-457) = 458", "Divide: 458 / 6 = 229/3", "Add: -7 + 56 = 49", "Divide: 49 / (-7) = -7", "Divide: (229/3) / (-7) = -229/21"], "final_answer": "-229/21", "answer_type": "rational", "kind": "expression", "math_text": "(1 - (-457)) / 6 / ((-7 + 56) / (-7))", "variable": null, "family": "expression_5op", "shape": "(/ (/ (- n n) n) (/ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -457, \"c\": 6, \"d\": -7, \"e\": 56, \"f\": -7}", "seed": "15332435673779814932", "semantic_fingerprint": "sha256:97be6c1a7c29972b8e55bdca2580589604d9651d7909d6034081c2126d805a96", "generator_version": "3.0"}
{"id": "v3_test_id_00005367", "prompt": "What value of x satisfies 2(x - 7) + 533 = -6x?", "solution_steps": ["Expand: 2x - 14 + 533 = -6x", "Combine constants: 2x + 519 = -6x", "Add 6x to both sides: 8x + 519 = 0", "Subtract 519 from both sides: 8x = -519", "Divide both sides by 8: x = -519/8"], "final_answer": "-519/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 7) + 533 = -6x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 7, \"c\": 533, \"d\": -6}", "seed": "11024975138268345158", "semantic_fingerprint": "sha256:52a66c186e23cdbe1332280cf34e693855bf20052868502342d928b394b18df5", "generator_version": "3.0"}
{"id": "v3_test_id_00005368", "prompt": "Calculate: 47 * 642", "solution_steps": ["Multiply: 47 * 642 = 30174"], "final_answer": "30174", "answer_type": "integer", "kind": "expression", "math_text": "47 * 642", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": 642}", "seed": "550323826938126622", "semantic_fingerprint": "sha256:41fd2a8614f14fc3686b22007a12686b459273459d2f6a091b979a9ef9fe7143", "generator_version": "3.0"}
{"id": "v3_test_id_00005369", "prompt": "What value of x satisfies 12(x + 3) = 180?", "solution_steps": ["Expand: 12x + 36 = 180", "Subtract 36 from both sides: 12x = 144", "Divide both sides by 12: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 3) = 180", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 3, \"d\": 180, \"x\": 12}", "seed": "14030011688615289289", "semantic_fingerprint": "sha256:13dcc627ed0e15d99fc1b1472100bc2f8f5c4cbce3755304acc52fd3c3246044", "generator_version": "3.0"}
{"id": "v3_test_id_00005370", "prompt": "Calculate: 99 / 51", "solution_steps": ["Divide: 99 / 51 = 33/17"], "final_answer": "33/17", "answer_type": "rational", "kind": "expression", "math_text": "99 / 51", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": 51}", "seed": "7448955634464465576", "semantic_fingerprint": "sha256:10efc1ae0271c50283bd19a5b5411aff91a56ca5accca46aa8f6bdc3e8f96f62", "generator_version": "3.0"}
{"id": "v3_test_id_00005371", "prompt": "Compute: -7 / (1 - (-6))", "solution_steps": ["Subtract: 1 - (-6) = 7", "Divide: -7 / 7 = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "expression", "math_text": "-7 / (1 - (-6))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 1, \"c\": -6}", "seed": "3584640749138975865", "semantic_fingerprint": "sha256:7d8197ac8cb836059ec6d8374e6b8da2071c975bf9e1dd219e4ee47884725ec9", "generator_version": "3.0"}
{"id": "v3_test_id_00005372", "prompt": "Evaluate: 92 / 62 + 12", "solution_steps": ["Divide: 92 / 62 = 46/31", "Add: 46/31 + 12 = 418/31"], "final_answer": "418/31", "answer_type": "rational", "kind": "expression", "math_text": "92 / 62 + 12", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": 62, \"c\": 12}", "seed": "18426832757652255302", "semantic_fingerprint": "sha256:adcd2a7cecd7c3e9bc8ed1ea304e1a894021328f2cb019f1e099c3fa51854baa", "generator_version": "3.0"}
{"id": "v3_test_id_00005373", "prompt": "Calculate: -339 / (10 - (-63 + (-935)))", "solution_steps": ["Add: -63 + (-935) = -998", "Subtract: 10 - (-998) = 1008", "Divide: -339 / 1008 = -113/336"], "final_answer": "-113/336", "answer_type": "rational", "kind": "expression", "math_text": "-339 / (10 - (-63 + (-935)))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -339, \"b\": 10, \"c\": -63, \"d\": -935}", "seed": "16669615561702866355", "semantic_fingerprint": "sha256:6b87e6d6e79171c2f27d80f02973c6c01df6104113126424990e6601313c31e6", "generator_version": "3.0"}
{"id": "v3_test_id_00005374", "prompt": "Evaluate: 4 / (-943)", "solution_steps": ["Divide: 4 / (-943) = -4/943"], "final_answer": "-4/943", "answer_type": "rational", "kind": "expression", "math_text": "4 / (-943)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -943}", "seed": "17314842137376662447", "semantic_fingerprint": "sha256:d662f5153b6a22f82ed5583e8d3a163ebf24578f8ec8eeeb1669d0d6fa869558", "generator_version": "3.0"}
{"id": "v3_test_id_00005375", "prompt": "Solve the equation -9(x - 5) = 11x for x.", "solution_steps": ["Expand: -9x + 45 = 11x", "Subtract 11x from both sides: -20x + 45 = 0", "Subtract 45 from both sides: -20x = -45", "Divide both sides by -20: x = 9/4"], "final_answer": "9/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 5) = 11x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 5, \"c\": 11}", "seed": "4258548500628735189", "semantic_fingerprint": "sha256:1904e73f493d10ed69f5c22528dfee5bf1aee75206d7c46a3ef14bcbcc7aa4a0", "generator_version": "3.0"}
{"id": "v3_test_id_00005376", "prompt": "What is 55 * ((5 - (65 - (-24))) / (-92))?", "solution_steps": ["Subtract: 65 - (-24) = 89", "Subtract: 5 - 89 = -84", "Divide: -84 / (-92) = 21/23", "Multiply: 55 * (21/23) = 1155/23"], "final_answer": "1155/23", "answer_type": "rational", "kind": "expression", "math_text": "55 * ((5 - (65 - (-24))) / (-92))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (- n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": 5, \"c\": 65, \"d\": -24, \"e\": -92}", "seed": "11118981241654606266", "semantic_fingerprint": "sha256:59c8ae268660b8b2aae9f2df0caa4a810bdcdcdd643eee8ab03de087c57e528b", "generator_version": "3.0"}
{"id": "v3_test_id_00005377", "prompt": "Evaluate: 67 * 26 + (-3)", "solution_steps": ["Multiply: 67 * 26 = 1742", "Add: 1742 + (-3) = 1739"], "final_answer": "1739", "answer_type": "integer", "kind": "expression", "math_text": "67 * 26 + (-3)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": 26, \"c\": -3}", "seed": "2701239679326371194", "semantic_fingerprint": "sha256:2742af5d6e601a36856ef725e1e5faeb227f71ec6c7ddb417005f66251d768eb", "generator_version": "3.0"}
{"id": "v3_test_id_00005378", "prompt": "What is 196 - (-854 - 34 * (-6))?", "solution_steps": ["Multiply: 34 * (-6) = -204", "Subtract: -854 - (-204) = -650", "Subtract: 196 - (-650) = 846"], "final_answer": "846", "answer_type": "integer", "kind": "expression", "math_text": "196 - (-854 - 34 * (-6))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 196, \"b\": -854, \"c\": 34, \"d\": -6}", "seed": "5406623197885459012", "semantic_fingerprint": "sha256:81c019b633c9713c9f695b3760385a5b0a0d066e5d2fc00c9b00ae7b3edbb230", "generator_version": "3.0"}
{"id": "v3_test_id_00005379", "prompt": "Compute: 73 * (-42 * (0 + 59))", "solution_steps": ["Add: 0 + 59 = 59", "Multiply: -42 * 59 = -2478", "Multiply: 73 * (-2478) = -180894"], "final_answer": "-180894", "answer_type": "integer", "kind": "expression", "math_text": "73 * (-42 * (0 + 59))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": -42, \"c\": 0, \"d\": 59}", "seed": "17502109483149959851", "semantic_fingerprint": "sha256:991db4bac71b028fd626590701374f83f9bd526a7e73c4187a8bf13baf00e383", "generator_version": "3.0"}
{"id": "v3_test_id_00005380", "prompt": "Find x: x - 73 = -7(x + 1) + 6", "solution_steps": ["Expand: x - 73 = -7x - 7 + 6", "Combine constants: x - 73 = -7x - 1", "Add 7x to both sides: 8x - 73 = -1", "Add 73 to both sides: 8x = 72", "Divide both sides by 8: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 73 = -7(x + 1) + 6", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": -7, \"c\": 1, \"e\": 6, \"x\": 9}", "seed": "16759599058631108936", "semantic_fingerprint": "sha256:37a4a5e5088e41e071c832b4490500d8f2e03b8d8ebfb4f5a0e0bc4e6f0a37e9", "generator_version": "3.0"}
{"id": "v3_test_id_00005381", "prompt": "Compute: 8 / ((-949 - 14) * (-6))", "solution_steps": ["Subtract: -949 - 14 = -963", "Multiply: -963 * (-6) = 5778", "Divide: 8 / 5778 = 4/2889"], "final_answer": "4/2889", "answer_type": "rational", "kind": "expression", "math_text": "8 / ((-949 - 14) * (-6))", "variable": null, "family": "expression_3op", "shape": "(/ n (* (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -949, \"c\": 14, \"d\": -6}", "seed": "10277299448880151547", "semantic_fingerprint": "sha256:c8e4f6b7c328378a48f04623b4759cf9cad05bc076775ae570c5b0666d6b9152", "generator_version": "3.0"}
{"id": "v3_test_id_00005382", "prompt": "Solve for x: x = -4(x + 82) + 243", "solution_steps": ["Expand: x = -4x - 328 + 243", "Combine constants: x = -4x - 85", "Add 4x to both sides: 5x = -85", "Divide both sides by 5: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -4(x + 82) + 243", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 82, \"d\": 243, \"x\": -17}", "seed": "14271756702577820649", "semantic_fingerprint": "sha256:9458d5f6348c2744cf8e9b62b8317a0479eeeac8269542a6ca18628be2f2aeb3", "generator_version": "3.0"}
{"id": "v3_test_id_00005383", "prompt": "Compute: -40 / (-5) * 8", "solution_steps": ["Divide: -40 / (-5) = 8", "Multiply: 8 * 8 = 64"], "final_answer": "64", "answer_type": "integer", "kind": "expression", "math_text": "-40 / (-5) * 8", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": -5, \"c\": 8}", "seed": "736006448118762764", "semantic_fingerprint": "sha256:34d6d85e995e6aab34432720b5c2c6fcbb2b0dcfcd759188c27b25fa4558eb68", "generator_version": "3.0"}
{"id": "v3_test_id_00005384", "prompt": "Calculate: -664 + 9 * 53", "solution_steps": ["Multiply: 9 * 53 = 477", "Add: -664 + 477 = -187"], "final_answer": "-187", "answer_type": "integer", "kind": "expression", "math_text": "-664 + 9 * 53", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -664, \"b\": 9, \"c\": 53}", "seed": "7593876243725956824", "semantic_fingerprint": "sha256:67c20d70480aa013ba2528d40130a694a58f824d4c5789e01ff0b7e89c9e38a7", "generator_version": "3.0"}
{"id": "v3_test_id_00005385", "prompt": "What is 7 - (80 - 92 - (-954)) + (-937) * (-5)?", "solution_steps": ["Subtract: 80 - 92 = -12", "Subtract: -12 - (-954) = 942", "Subtract: 7 - 942 = -935", "Multiply: -937 * (-5) = 4685", "Add: -935 + 4685 = 3750"], "final_answer": "3750", "answer_type": "integer", "kind": "expression", "math_text": "7 - (80 - 92 - (-954)) + (-937) * (-5)", "variable": null, "family": "expression_5op", "shape": "(+ (- n (- (- n n) n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 80, \"c\": 92, \"d\": -954, \"e\": -937, \"f\": -5}", "seed": "12850333709295346141", "semantic_fingerprint": "sha256:31d9c11f9f72dde008135a9a354e26c7e8217d5d2940243787fa868e6c8627d9", "generator_version": "3.0"}
{"id": "v3_test_id_00005386", "prompt": "What is (-532 - (66 - (-892))) / 427?", "solution_steps": ["Subtract: 66 - (-892) = 958", "Subtract: -532 - 958 = -1490", "Divide: -1490 / 427 = -1490/427"], "final_answer": "-1490/427", "answer_type": "rational", "kind": "expression", "math_text": "(-532 - (66 - (-892))) / 427", "variable": null, "family": "expression_3op", "shape": "(/ (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -532, \"b\": 66, \"c\": -892, \"d\": 427}", "seed": "16949867524393893200", "semantic_fingerprint": "sha256:04d8657c9c3a04a262da5dc859f2bb29ef85e4f14c1a70a089e36d6fda28fa77", "generator_version": "3.0"}
{"id": "v3_test_id_00005387", "prompt": "Calculate: -831 - (-50)", "solution_steps": ["Subtract: -831 - (-50) = -781"], "final_answer": "-781", "answer_type": "integer", "kind": "expression", "math_text": "-831 - (-50)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -831, \"b\": -50}", "seed": "3024520062650312125", "semantic_fingerprint": "sha256:f872957f36dacd623cc87c659ef4547d9858e6a66476daf9afc3e2ccf9bd7567", "generator_version": "3.0"}
{"id": "v3_test_id_00005388", "prompt": "What is 985 - (12 - 978) - 19?", "solution_steps": ["Subtract: 12 - 978 = -966", "Subtract: 985 - (-966) = 1951", "Subtract: 1951 - 19 = 1932"], "final_answer": "1932", "answer_type": "integer", "kind": "expression", "math_text": "985 - (12 - 978) - 19", "variable": null, "family": "expression_3op", "shape": "(- (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 985, \"b\": 12, \"c\": 978, \"d\": 19}", "seed": "13567711765727442241", "semantic_fingerprint": "sha256:48ff8e231d2f9f17a233c905384dbfebbb9b31ea74aa2381d850da1e8eb8c58f", "generator_version": "3.0"}
{"id": "v3_test_id_00005389", "prompt": "Solve the equation 8(x + 6) - 37 = 7(x - 4) + 44 for x.", "solution_steps": ["Expand: 8x + 48 - 37 = 7(x - 4) + 44", "Expand: 8x + 48 - 37 = 7x - 28 + 44", "Combine constants: 8x + 11 = 7x - 28 + 44", "Combine constants: 8x + 11 = 7x + 16", "Subtract 7x from both sides: x + 11 = 16", "Subtract 11 from both sides: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 6) - 37 = 7(x - 4) + 44", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 6, \"c\": 37, \"d\": 7, \"e\": 4, \"g\": 44, \"x\": 5}", "seed": "6177345853720263555", "semantic_fingerprint": "sha256:3943c9f3668184428f847afa4ee18dd5dc078325c8652af7af6165e8473165ad", "generator_version": "3.0"}
{"id": "v3_test_id_00005390", "prompt": "Solve the equation 3(x - 74) + 54 = 12x - 15 for x.", "solution_steps": ["Expand: 3x - 222 + 54 = 12x - 15", "Combine constants: 3x - 168 = 12x - 15", "Subtract 12x from both sides: -9x - 168 = -15", "Add 168 to both sides: -9x = 153", "Divide both sides by -9: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 74) + 54 = 12x - 15", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 74, \"c\": 54, \"d\": 12, \"f\": -15, \"x\": -17}", "seed": "7210496287823807179", "semantic_fingerprint": "sha256:c67979482f86c0ec6970a9e39f07b39d7ffe1a2948cdf64c635a1b8597ed6ddb", "generator_version": "3.0"}
{"id": "v3_test_id_00005391", "prompt": "Evaluate: 8 + 0 + 3 + (-54)", "solution_steps": ["Add: 8 + 0 = 8", "Add: 8 + 3 = 11", "Add: 11 + (-54) = -43"], "final_answer": "-43", "answer_type": "integer", "kind": "expression", "math_text": "8 + 0 + 3 + (-54)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 0, \"c\": 3, \"d\": -54}", "seed": "2058129631608389677", "semantic_fingerprint": "sha256:7bc97b1eab5a43ba26422c8a04b7db0a57c79ca879cc3396156b91230e44debf", "generator_version": "3.0"}
{"id": "v3_test_id_00005392", "prompt": "Compute: (-76 - (-4 * 6 - (-75))) * 51", "solution_steps": ["Multiply: -4 * 6 = -24", "Subtract: -24 - (-75) = 51", "Subtract: -76 - 51 = -127", "Multiply: -127 * 51 = -6477"], "final_answer": "-6477", "answer_type": "integer", "kind": "expression", "math_text": "(-76 - (-4 * 6 - (-75))) * 51", "variable": null, "family": "expression_4op", "shape": "(* (- n (- (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": -4, \"c\": 6, \"d\": -75, \"e\": 51}", "seed": "17967278705016757739", "semantic_fingerprint": "sha256:81aca38329ea81eda56e46e31253c2d22b7616b1af4c282bfa0ea9fd851804e8", "generator_version": "3.0"}
{"id": "v3_test_id_00005393", "prompt": "Solve the equation 10(x + 426) = -6(x - 50) - 47 for x.", "solution_steps": ["Expand: 10x + 4260 = -6(x - 50) - 47", "Expand: 10x + 4260 = -6x + 300 - 47", "Combine constants: 10x + 4260 = -6x + 253", "Add 6x to both sides: 16x + 4260 = 253", "Subtract 4260 from both sides: 16x = -4007", "Divide both sides by 16: x = -4007/16"], "final_answer": "-4007/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 426) = -6(x - 50) - 47", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 426, \"c\": -6, \"d\": 50, \"e\": 47}", "seed": "9256037598654556413", "semantic_fingerprint": "sha256:e0f81577c8e6c35dc942f7c535e6f662afdbda19346ec9340e9149767e559f84", "generator_version": "3.0"}
{"id": "v3_test_id_00005394", "prompt": "What is -3 + (-456)?", "solution_steps": ["Add: -3 + (-456) = -459"], "final_answer": "-459", "answer_type": "integer", "kind": "expression", "math_text": "-3 + (-456)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -456}", "seed": "10668619092483056470", "semantic_fingerprint": "sha256:3d142da45e009a1d60e3ce034d03f79c13bae18267490192fcedae1cee7b861b", "generator_version": "3.0"}
{"id": "v3_test_id_00005395", "prompt": "What is 600 - (4 + (-38))?", "solution_steps": ["Add: 4 + (-38) = -34", "Subtract: 600 - (-34) = 634"], "final_answer": "634", "answer_type": "integer", "kind": "expression", "math_text": "600 - (4 + (-38))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 600, \"b\": 4, \"c\": -38}", "seed": "856627973871340956", "semantic_fingerprint": "sha256:d0156ecefa57edc842a7af8e7385ff9a7de636af18305d4f45bfb2276512eb7b", "generator_version": "3.0"}
{"id": "v3_test_id_00005396", "prompt": "Solve for x: 11x + 55 = 5x + 415", "solution_steps": ["Subtract 5x from both sides: 6x + 55 = 415", "Subtract 55 from both sides: 6x = 360", "Divide both sides by 6: x = 60"], "final_answer": "60", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 55 = 5x + 415", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 55, \"c\": 5, \"d\": 415}", "seed": "9462646688870326541", "semantic_fingerprint": "sha256:95a2fa0d2c05021c34632c7d414d4437bad515333d14a4a2846201bdd935e55b", "generator_version": "3.0"}
{"id": "v3_test_id_00005397", "prompt": "Solve the equation 12x = 7(x - 50) for x.", "solution_steps": ["Expand: 12x = 7x - 350", "Subtract 7x from both sides: 5x = -350", "Divide both sides by 5: x = -70"], "final_answer": "-70", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = 7(x - 50)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 7, \"c\": 50}", "seed": "1940775845066928405", "semantic_fingerprint": "sha256:b4f01c30b5613968d0e6fa47023668ae5f358b4811114e35304acccdea0aea89", "generator_version": "3.0"}
{"id": "v3_test_id_00005398", "prompt": "What value of x satisfies 3x + 22 = 5(x + 16) - 78?", "solution_steps": ["Expand: 3x + 22 = 5x + 80 - 78", "Combine constants: 3x + 22 = 5x + 2", "Subtract 5x from both sides: -2x + 22 = 2", "Subtract 22 from both sides: -2x = -20", "Divide both sides by -2: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x + 22 = 5(x + 16) - 78", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 22, \"c\": 5, \"d\": 16, \"f\": -78, \"x\": 10}", "seed": "2093022012194729159", "semantic_fingerprint": "sha256:4de7d0d171fe3befc44a747e7d579e4c96878bb881f894f47d05f473535ab557", "generator_version": "3.0"}
{"id": "v3_test_id_00005399", "prompt": "Solve the equation 11x + 5 = -5(x - 4) + 1 for x.", "solution_steps": ["Expand: 11x + 5 = -5x + 20 + 1", "Combine constants: 11x + 5 = -5x + 21", "Add 5x to both sides: 16x + 5 = 21", "Subtract 5 from both sides: 16x = 16", "Divide both sides by 16: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 5 = -5(x - 4) + 1", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": -5, \"d\": 4, \"f\": 1, \"x\": 1}", "seed": "8250471516988810189", "semantic_fingerprint": "sha256:1f0e0130e593bde09836d68b0a34378ad2c1e33affd7d508a26c60cdb48de805", "generator_version": "3.0"}
{"id": "v3_test_id_00005400", "prompt": "Evaluate: 22 * (-39 - (-3))", "solution_steps": ["Subtract: -39 - (-3) = -36", "Multiply: 22 * (-36) = -792"], "final_answer": "-792", "answer_type": "integer", "kind": "expression", "math_text": "22 * (-39 - (-3))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": -39, \"c\": -3}", "seed": "16874634223031098880", "semantic_fingerprint": "sha256:b33441dd7bf40fba512559f27ffeedcac2d065ba3ae8a8f3dca71c5ca886b919", "generator_version": "3.0"}
{"id": "v3_test_id_00005401", "prompt": "Evaluate: 0 / (-517) / (-125 / (-94) * 2)", "solution_steps": ["Divide: 0 / (-517) = 0", "Divide: -125 / (-94) = 125/94", "Multiply: (125/94) * 2 = 125/47", "Divide: 0 / (125/47) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-517) / (-125 / (-94) * 2)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (* (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -517, \"c\": -125, \"d\": -94, \"e\": 2}", "seed": "14342795989860525646", "semantic_fingerprint": "sha256:2a8c6b0f43669851d8099bca76a89c1202ea19fcd26edc17501db27962e2d2c1", "generator_version": "3.0"}
{"id": "v3_test_id_00005402", "prompt": "Solve for x: x = -11(x - 714) + 12", "solution_steps": ["Expand: x = -11x + 7854 + 12", "Combine constants: x = -11x + 7866", "Add 11x to both sides: 12x = 7866", "Divide both sides by 12: x = 1311/2"], "final_answer": "1311/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -11(x - 714) + 12", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 714, \"c\": 12}", "seed": "4649607568795327742", "semantic_fingerprint": "sha256:017fcff6630177c403d322e0691ea2c07aa07377d78511b76c1a163e6b65f062", "generator_version": "3.0"}
{"id": "v3_test_id_00005403", "prompt": "Calculate: -8 - (-890 * 52 - 51)", "solution_steps": ["Multiply: -890 * 52 = -46280", "Subtract: -46280 - 51 = -46331", "Subtract: -8 - (-46331) = 46323"], "final_answer": "46323", "answer_type": "integer", "kind": "expression", "math_text": "-8 - (-890 * 52 - 51)", "variable": null, "family": "expression_3op", "shape": "(- n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -890, \"c\": 52, \"d\": 51}", "seed": "10681647519944214238", "semantic_fingerprint": "sha256:9f97edcf40d28d9812acb6ea2a68ad2a388ac5f10d7e333a61583bc293487d1f", "generator_version": "3.0"}
{"id": "v3_test_id_00005404", "prompt": "Compute: -6 - (-9)", "solution_steps": ["Subtract: -6 - (-9) = 3"], "final_answer": "3", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (-9)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -9}", "seed": "10354005011633120501", "semantic_fingerprint": "sha256:abf1835b808d5c87c52afd9dc8be26cf5d5d8445ba2d0da257c4ccea2cb7becb", "generator_version": "3.0"}
{"id": "v3_test_id_00005405", "prompt": "Find x: -2(x + 86) + 159 = -7(x - 6)", "solution_steps": ["Expand: -2x - 172 + 159 = -7(x - 6)", "Expand: -2x - 172 + 159 = -7x + 42", "Combine constants: -2x - 13 = -7x + 42", "Add 7x to both sides: 5x - 13 = 42", "Add 13 to both sides: 5x = 55", "Divide both sides by 5: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 86) + 159 = -7(x - 6)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 86, \"c\": -7, \"d\": 6, \"f\": 159, \"x\": 11}", "seed": "15738867969144631837", "semantic_fingerprint": "sha256:0caf8ca3f1a075042c234313f550c2f8551b64d75c40debf7deafbbb239ac690", "generator_version": "3.0"}
{"id": "v3_test_id_00005406", "prompt": "Evaluate: -9 - (-31) / (-66)", "solution_steps": ["Divide: -31 / (-66) = 31/66", "Subtract: -9 - 31/66 = -625/66"], "final_answer": "-625/66", "answer_type": "rational", "kind": "expression", "math_text": "-9 - (-31) / (-66)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -31, \"c\": -66}", "seed": "11731773111406869415", "semantic_fingerprint": "sha256:5da5ea2cd7ed9fbd9e7feaee6b462f5be50e0b4203238cf732d6a5e1546c612e", "generator_version": "3.0"}
{"id": "v3_test_id_00005407", "prompt": "Find x: 3(x - 52) - 38 = 12(x - 868) + 9", "solution_steps": ["Expand: 3x - 156 - 38 = 12(x - 868) + 9", "Expand: 3x - 156 - 38 = 12x - 10416 + 9", "Combine constants: 3x - 194 = 12x - 10416 + 9", "Combine constants: 3x - 194 = 12x - 10407", "Subtract 12x from both sides: -9x - 194 = -10407", "Add 194 to both sides: -9x = -10213", "Divide both sides by -9: x = 10213/9"], "final_answer": "10213/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 52) - 38 = 12(x - 868) + 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 52, \"c\": 38, \"d\": 12, \"e\": 868, \"f\": 9}", "seed": "15010501232123806761", "semantic_fingerprint": "sha256:d933050c1b0b721ccaf24b2cdcfb00e12d63a9bc80c698a0a2b6949bb67389ab", "generator_version": "3.0"}
{"id": "v3_test_id_00005408", "prompt": "What is (459 - (-3)) * (-70) + (-76 - (-6))?", "solution_steps": ["Subtract: 459 - (-3) = 462", "Multiply: 462 * (-70) = -32340", "Subtract: -76 - (-6) = -70", "Add: -32340 + (-70) = -32410"], "final_answer": "-32410", "answer_type": "integer", "kind": "expression", "math_text": "(459 - (-3)) * (-70) + (-76 - (-6))", "variable": null, "family": "expression_4op", "shape": "(+ (* (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 459, \"b\": -3, \"c\": -70, \"d\": -76, \"e\": -6}", "seed": "12452830330318783587", "semantic_fingerprint": "sha256:1718ba08653e8cd8811f4005f5e539dceee8ea3dc40a3214cb44b963bf7781ee", "generator_version": "3.0"}
{"id": "v3_test_id_00005409", "prompt": "What is 16 * (839 + 40)?", "solution_steps": ["Add: 839 + 40 = 879", "Multiply: 16 * 879 = 14064"], "final_answer": "14064", "answer_type": "integer", "kind": "expression", "math_text": "16 * (839 + 40)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": 839, \"c\": 40}", "seed": "16726817499310788440", "semantic_fingerprint": "sha256:6d06e0357011febcf2df15f446bc1284dc956e6f637f46dceafd07a705d68064", "generator_version": "3.0"}
{"id": "v3_test_id_00005410", "prompt": "Find x: 9(x + 3) = 11(x - 9) - 34", "solution_steps": ["Expand: 9x + 27 = 11(x - 9) - 34", "Expand: 9x + 27 = 11x - 99 - 34", "Combine constants: 9x + 27 = 11x - 133", "Subtract 11x from both sides: -2x + 27 = -133", "Subtract 27 from both sides: -2x = -160", "Divide both sides by -2: x = 80"], "final_answer": "80", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 3) = 11(x - 9) - 34", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"c\": 11, \"d\": 9, \"e\": 34}", "seed": "16143285873961774535", "semantic_fingerprint": "sha256:a4e0dd534eb5cf513dc96d760e6776dad5435f59dd2671860e6593f66836f7e3", "generator_version": "3.0"}
{"id": "v3_test_id_00005411", "prompt": "Find x: x + 7 = -12(x - 66) - 746", "solution_steps": ["Expand: x + 7 = -12x + 792 - 746", "Combine constants: x + 7 = -12x + 46", "Add 12x to both sides: 13x + 7 = 46", "Subtract 7 from both sides: 13x = 39", "Divide both sides by 13: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 7 = -12(x - 66) - 746", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -12, \"c\": 66, \"e\": -746, \"x\": 3}", "seed": "6027975171395155682", "semantic_fingerprint": "sha256:b81d2f242673f55b5969839e4545ecd6f078be47dafd6d9da68b56b409043070", "generator_version": "3.0"}
{"id": "v3_test_id_00005412", "prompt": "Calculate: -95 / 1", "solution_steps": ["Divide: -95 / 1 = -95"], "final_answer": "-95", "answer_type": "integer", "kind": "expression", "math_text": "-95 / 1", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": 1}", "seed": "15436855525040739043", "semantic_fingerprint": "sha256:bd983765a36893e32e30e83ae90dbd79221b0b1b9432002b816aa165a77646cb", "generator_version": "3.0"}
{"id": "v3_test_id_00005413", "prompt": "Solve the equation x - 56 = -4x - 91 for x.", "solution_steps": ["Add 4x to both sides: 5x - 56 = -91", "Add 56 to both sides: 5x = -35", "Divide both sides by 5: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 56 = -4x - 91", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": -4, \"d\": -91, \"x\": -7}", "seed": "17955525755606081058", "semantic_fingerprint": "sha256:8854c4792f6586473d84da49b37a67366e708215abe9f6cff9d9a23920ccc1f1", "generator_version": "3.0"}
{"id": "v3_test_id_00005414", "prompt": "Find x: 2(x + 9) - 10 = 5(x + 36) - 112", "solution_steps": ["Expand: 2x + 18 - 10 = 5(x + 36) - 112", "Expand: 2x + 18 - 10 = 5x + 180 - 112", "Combine constants: 2x + 8 = 5x + 180 - 112", "Combine constants: 2x + 8 = 5x + 68", "Subtract 5x from both sides: -3x + 8 = 68", "Subtract 8 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 + 9) - 10 = 5(x + 36) - 112", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"c\": 10, \"d\": 5, \"e\": 36, \"g\": -112, \"x\": -20}", "seed": "17905080025351433752", "semantic_fingerprint": "sha256:4b51e0466246d714166ad55aeb48d0ee0cbcc1dae83b734c4f653ce5ceeb1f42", "generator_version": "3.0"}
{"id": "v3_test_id_00005415", "prompt": "Solve the equation -5(x + 2) - 8 = 7(x - 47) + 443 for x.", "solution_steps": ["Expand: -5x - 10 - 8 = 7(x - 47) + 443", "Expand: -5x - 10 - 8 = 7x - 329 + 443", "Combine constants: -5x - 18 = 7x - 329 + 443", "Combine constants: -5x - 18 = 7x + 114", "Subtract 7x from both sides: -12x - 18 = 114", "Add 18 to both sides: -12x = 132", "Divide both sides by -12: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 2) - 8 = 7(x - 47) + 443", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 2, \"c\": 8, \"d\": 7, \"e\": 47, \"g\": 443, \"x\": -11}", "seed": "4204746998589741520", "semantic_fingerprint": "sha256:21b9174fcb5fdfbfc55083364ae400ce3f52d85cc47915cd6201118080ffe096", "generator_version": "3.0"}
{"id": "v3_test_id_00005416", "prompt": "Solve for x: 9(x + 30) = 4(x - 5)", "solution_steps": ["Expand: 9x + 270 = 4(x - 5)", "Expand: 9x + 270 = 4x - 20", "Subtract 4x from both sides: 5x + 270 = -20", "Subtract 270 from both sides: 5x = -290", "Divide both sides by 5: x = -58"], "final_answer": "-58", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 30) = 4(x - 5)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 30, \"c\": 4, \"d\": 5}", "seed": "15083329923228627022", "semantic_fingerprint": "sha256:1b51c015c9f51ff6a4f2e46c6b19c61f01628cc168b46047b597eb8aa05b5383", "generator_version": "3.0"}
{"id": "v3_test_id_00005417", "prompt": "Evaluate: -7 + (-71)", "solution_steps": ["Add: -7 + (-71) = -78"], "final_answer": "-78", "answer_type": "integer", "kind": "expression", "math_text": "-7 + (-71)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -71}", "seed": "11485729896597851709", "semantic_fingerprint": "sha256:8dba907fbdb8c50680c41192fbeb8e5a27d8a9e0f139ac8fb293736974e21b54", "generator_version": "3.0"}
{"id": "v3_test_id_00005418", "prompt": "What value of x satisfies x + 3 = 12(x - 42) + 309?", "solution_steps": ["Expand: x + 3 = 12x - 504 + 309", "Combine constants: x + 3 = 12x - 195", "Subtract 12x from both sides: -11x + 3 = -195", "Subtract 3 from both sides: -11x = -198", "Divide both sides by -11: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3 = 12(x - 42) + 309", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 12, \"c\": 42, \"e\": 309, \"x\": 18}", "seed": "1456410599240912530", "semantic_fingerprint": "sha256:e518a7cc8431896d843e79620ddaf7d10d89d7693ff9e9fe1bacb78524dde314", "generator_version": "3.0"}
{"id": "v3_test_id_00005419", "prompt": "Solve for x: x = 3(x + 3)", "solution_steps": ["Expand: x = 3x + 9", "Subtract 3x from both sides: -2x = 9", "Divide both sides by -2: x = -9/2"], "final_answer": "-9/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 3(x + 3)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3}", "seed": "9085857634840595023", "semantic_fingerprint": "sha256:bda861fef2a3461a75cf11368c2b4004530bd341e69c4271abf04557f46ead6f", "generator_version": "3.0"}
{"id": "v3_test_id_00005420", "prompt": "Find x: x + 39 = 48", "solution_steps": ["Subtract 39 from both sides: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 39 = 48", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 39, \"c\": 48, \"x\": 9}", "seed": "17949959302363558739", "semantic_fingerprint": "sha256:3cdd552209a22d04135a4dfa2e8a966eea3cac927d13746adf6ad712d145b1ec", "generator_version": "3.0"}
{"id": "v3_test_id_00005421", "prompt": "Solve the equation 11(x - 71) = -946 for x.", "solution_steps": ["Expand: 11x - 781 = -946", "Add 781 to both sides: 11x = -165", "Divide both sides by 11: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 71) = -946", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 71, \"d\": -946, \"x\": -15}", "seed": "11865748478822169577", "semantic_fingerprint": "sha256:84f6ef243a2b8e86ec8dddccac04cf56cc5d457c1760f616c86cd01f7ae3bce1", "generator_version": "3.0"}
{"id": "v3_test_id_00005422", "prompt": "Evaluate: -525 * 18 + 36", "solution_steps": ["Multiply: -525 * 18 = -9450", "Add: -9450 + 36 = -9414"], "final_answer": "-9414", "answer_type": "integer", "kind": "expression", "math_text": "-525 * 18 + 36", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -525, \"b\": 18, \"c\": 36}", "seed": "9091399884118797607", "semantic_fingerprint": "sha256:deeb75643f64a452261fa8264b145c96ca0275ef60a84c4b50383ef4a67d6606", "generator_version": "3.0"}
{"id": "v3_test_id_00005423", "prompt": "What value of x satisfies x - 30 = 12(x + 21) - 9?", "solution_steps": ["Expand: x - 30 = 12x + 252 - 9", "Combine constants: x - 30 = 12x + 243", "Subtract 12x from both sides: -11x - 30 = 243", "Add 30 to both sides: -11x = 273", "Divide both sides by -11: x = -273/11"], "final_answer": "-273/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 30 = 12(x + 21) - 9", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": 12, \"c\": 21, \"d\": 9}", "seed": "1539570727537326335", "semantic_fingerprint": "sha256:9fb9583e0cb0e1e42ef38bf32ac446d4e4427109eb6d46bb24f76d392bd601a6", "generator_version": "3.0"}
{"id": "v3_test_id_00005424", "prompt": "Evaluate: -12 * (182 * (0 / 17))", "solution_steps": ["Divide: 0 / 17 = 0", "Multiply: 182 * 0 = 0", "Multiply: -12 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-12 * (182 * (0 / 17))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 182, \"c\": 0, \"d\": 17}", "seed": "9496439369161846774", "semantic_fingerprint": "sha256:9da61faf5ddc7d986aac7eda89f0f5ec7da34aefe6aa5345cf086781e6331ceb", "generator_version": "3.0"}
{"id": "v3_test_id_00005425", "prompt": "What value of x satisfies 6(x - 77) = x - 2?", "solution_steps": ["Expand: 6x - 462 = x - 2", "Subtract x from both sides: 5x - 462 = -2", "Add 462 to both sides: 5x = 460", "Divide both sides by 5: x = 92"], "final_answer": "92", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 77) = x - 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 77, \"c\": 2}", "seed": "10180260629371861012", "semantic_fingerprint": "sha256:32f2cd8dda12743fa9ac65c4edf2696bc5d8028a503f9debf5b8758932f93134", "generator_version": "3.0"}
{"id": "v3_test_id_00005426", "prompt": "Evaluate: (-98 - (-4)) / (-24 - 589) + (32 + 86)", "solution_steps": ["Subtract: -98 - (-4) = -94", "Subtract: -24 - 589 = -613", "Divide: -94 / (-613) = 94/613", "Add: 32 + 86 = 118", "Add: 94/613 + 118 = 72428/613"], "final_answer": "72428/613", "answer_type": "rational", "kind": "expression", "math_text": "(-98 - (-4)) / (-24 - 589) + (32 + 86)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (- n n) (- n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -98, \"b\": -4, \"c\": -24, \"d\": 589, \"e\": 32, \"f\": 86}", "seed": "3816439294137711493", "semantic_fingerprint": "sha256:d8059015508bfeb738b4cfb2b1894e18b323d77262c13d1ace843a94b66e226b", "generator_version": "3.0"}
{"id": "v3_test_id_00005427", "prompt": "Solve for x: -2(x + 238) = 2(x + 963) - 18", "solution_steps": ["Expand: -2x - 476 = 2(x + 963) - 18", "Expand: -2x - 476 = 2x + 1926 - 18", "Combine constants: -2x - 476 = 2x + 1908", "Subtract 2x from both sides: -4x - 476 = 1908", "Add 476 to both sides: -4x = 2384", "Divide both sides by -4: x = -596"], "final_answer": "-596", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x + 238) = 2(x + 963) - 18", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 238, \"c\": 2, \"d\": 963, \"e\": 18}", "seed": "7323925455653352260", "semantic_fingerprint": "sha256:592320f5dae302eb8f3a7d20b9fac0109813dcd15e315b338ddc5a36a7354373", "generator_version": "3.0"}
{"id": "v3_test_id_00005428", "prompt": "What is -890 / ((47 + (-3)) / 1)?", "solution_steps": ["Add: 47 + (-3) = 44", "Divide: 44 / 1 = 44", "Divide: -890 / 44 = -445/22"], "final_answer": "-445/22", "answer_type": "rational", "kind": "expression", "math_text": "-890 / ((47 + (-3)) / 1)", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -890, \"b\": 47, \"c\": -3, \"d\": 1}", "seed": "17921731247668236035", "semantic_fingerprint": "sha256:308f8141ac124ba3fb705e7b3e5858eee938c1be9c120e47da228f4b815ff6b4", "generator_version": "3.0"}
{"id": "v3_test_id_00005429", "prompt": "Solve the equation x = 11(x + 933) + 83 for x.", "solution_steps": ["Expand: x = 11x + 10263 + 83", "Combine constants: x = 11x + 10346", "Subtract 11x from both sides: -10x = 10346", "Divide both sides by -10: x = -5173/5"], "final_answer": "-5173/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 11(x + 933) + 83", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 933, \"c\": 83}", "seed": "3003741883325919845", "semantic_fingerprint": "sha256:ad16acc09bed28e3dd837b9d0a70687df181411f997d4820b0f0a01abbb8563c", "generator_version": "3.0"}
{"id": "v3_test_id_00005430", "prompt": "Calculate: (153 - (-17)) / (0 + 8)", "solution_steps": ["Subtract: 153 - (-17) = 170", "Add: 0 + 8 = 8", "Divide: 170 / 8 = 85/4"], "final_answer": "85/4", "answer_type": "rational", "kind": "expression", "math_text": "(153 - (-17)) / (0 + 8)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 153, \"b\": -17, \"c\": 0, \"d\": 8}", "seed": "10004543178753222654", "semantic_fingerprint": "sha256:504127979d5c32f6f5f0f6f4568b0ba2407d0634a56087d3cad5b5f2e8fe4a83", "generator_version": "3.0"}
{"id": "v3_test_id_00005431", "prompt": "Calculate: 80 - 7 - 6 + (-16)", "solution_steps": ["Subtract: 80 - 7 = 73", "Subtract: 73 - 6 = 67", "Add: 67 + (-16) = 51"], "final_answer": "51", "answer_type": "integer", "kind": "expression", "math_text": "80 - 7 - 6 + (-16)", "variable": null, "family": "expression_3op", "shape": "(+ (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": 7, \"c\": 6, \"d\": -16}", "seed": "16341787540900936604", "semantic_fingerprint": "sha256:da0702a21746efa2cf73b4cf1aace7951e9d7cae7fc41f2255f2c8e9737357cd", "generator_version": "3.0"}
{"id": "v3_test_id_00005432", "prompt": "Compute: -10 * (-61 / 52 + 8)", "solution_steps": ["Divide: -61 / 52 = -61/52", "Add: -61/52 + 8 = 355/52", "Multiply: -10 * (355/52) = -1775/26"], "final_answer": "-1775/26", "answer_type": "rational", "kind": "expression", "math_text": "-10 * (-61 / 52 + 8)", "variable": null, "family": "expression_3op", "shape": "(* n (+ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": -61, \"c\": 52, \"d\": 8}", "seed": "18258828808647594225", "semantic_fingerprint": "sha256:5ba2297320107123c98eaea7bb2c14ad7ffdeffbf53c477ba6c04d0110b06f64", "generator_version": "3.0"}
{"id": "v3_test_id_00005433", "prompt": "Compute: (2 + (-63 + 3)) / 128 - (-9)", "solution_steps": ["Add: -63 + 3 = -60", "Add: 2 + (-60) = -58", "Divide: -58 / 128 = -29/64", "Subtract: -29/64 - (-9) = 547/64"], "final_answer": "547/64", "answer_type": "rational", "kind": "expression", "math_text": "(2 + (-63 + 3)) / 128 - (-9)", "variable": null, "family": "expression_4op", "shape": "(- (/ (+ n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -63, \"c\": 3, \"d\": 128, \"e\": -9}", "seed": "11853055561482684223", "semantic_fingerprint": "sha256:720f02b4eb6866edbcc860ea944146f97a1ab3bbec7609873d0ee307486d6f2f", "generator_version": "3.0"}
{"id": "v3_test_id_00005434", "prompt": "Evaluate: -5 - (-6) - 86 * 0", "solution_steps": ["Subtract: -5 - (-6) = 1", "Multiply: 86 * 0 = 0", "Subtract: 1 - 0 = 1"], "final_answer": "1", "answer_type": "integer", "kind": "expression", "math_text": "-5 - (-6) - 86 * 0", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -6, \"c\": 86, \"d\": 0}", "seed": "1571469136293209408", "semantic_fingerprint": "sha256:97131120cba9a31c552a239bab2e1a68ea9a0012e1bfb203d211b7b90bbb8f31", "generator_version": "3.0"}
{"id": "v3_test_id_00005435", "prompt": "Compute: 4 - 90 / 644 / 9 / 40", "solution_steps": ["Divide: 90 / 644 = 45/322", "Divide: (45/322) / 9 = 5/322", "Divide: (5/322) / 40 = 1/2576", "Subtract: 4 - 1/2576 = 10303/2576"], "final_answer": "10303/2576", "answer_type": "rational", "kind": "expression", "math_text": "4 - 90 / 644 / 9 / 40", "variable": null, "family": "expression_4op", "shape": "(- n (/ (/ (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 90, \"c\": 644, \"d\": 9, \"e\": 40}", "seed": "15713060990101077823", "semantic_fingerprint": "sha256:4d313d53ee9fa76c56dd953b3c0fe9bd881db4efb972beeb04474a657df4a385", "generator_version": "3.0"}
{"id": "v3_test_id_00005436", "prompt": "Compute: 87 - (-88) + (-1)", "solution_steps": ["Subtract: 87 - (-88) = 175", "Add: 175 + (-1) = 174"], "final_answer": "174", "answer_type": "integer", "kind": "expression", "math_text": "87 - (-88) + (-1)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 87, \"b\": -88, \"c\": -1}", "seed": "13774402027697076751", "semantic_fingerprint": "sha256:9d8a60d184dd33b3611a2da389662c071d5c8f3bf34595e0140fa6ea2ca25a22", "generator_version": "3.0"}
{"id": "v3_test_id_00005437", "prompt": "Evaluate: 53 - (-108) / (-25)", "solution_steps": ["Divide: -108 / (-25) = 108/25", "Subtract: 53 - 108/25 = 1217/25"], "final_answer": "1217/25", "answer_type": "rational", "kind": "expression", "math_text": "53 - (-108) / (-25)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": -108, \"c\": -25}", "seed": "4626618837915180675", "semantic_fingerprint": "sha256:80212b6f0941820336092d77aa6a3a049049f4eced05fdf36957ec94bd648eb4", "generator_version": "3.0"}
{"id": "v3_test_id_00005438", "prompt": "What is -4 * 9 / ((-8 - (-89)) / (73 - 561))?", "solution_steps": ["Multiply: -4 * 9 = -36", "Subtract: -8 - (-89) = 81", "Subtract: 73 - 561 = -488", "Divide: 81 / (-488) = -81/488", "Divide: -36 / (-81/488) = 1952/9"], "final_answer": "1952/9", "answer_type": "rational", "kind": "expression", "math_text": "-4 * 9 / ((-8 - (-89)) / (73 - 561))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (/ (- n n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 9, \"c\": -8, \"d\": -89, \"e\": 73, \"f\": 561}", "seed": "5109131351513385844", "semantic_fingerprint": "sha256:79d8e2a333f8500d81ee36a00a165a7cc3a43d76abbbd7f2fe63287043a19944", "generator_version": "3.0"}
{"id": "v3_test_id_00005439", "prompt": "Compute: -3 * (91 / (-378)) * (-88)", "solution_steps": ["Divide: 91 / (-378) = -13/54", "Multiply: -3 * (-13/54) = 13/18", "Multiply: (13/18) * (-88) = -572/9"], "final_answer": "-572/9", "answer_type": "rational", "kind": "expression", "math_text": "-3 * (91 / (-378)) * (-88)", "variable": null, "family": "expression_3op", "shape": "(* (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 91, \"c\": -378, \"d\": -88}", "seed": "6424441439832091282", "semantic_fingerprint": "sha256:2443cbc5a3c69b1fdf82124ac29cb2b859e3f574c2ef9a11bcb390d3fa64b0d8", "generator_version": "3.0"}
{"id": "v3_test_id_00005440", "prompt": "Solve the equation 7x + 65 = 2(x + 61) - 142 for x.", "solution_steps": ["Expand: 7x + 65 = 2x + 122 - 142", "Combine constants: 7x + 65 = 2x - 20", "Subtract 2x from both sides: 5x + 65 = -20", "Subtract 65 from both sides: 5x = -85", "Divide both sides by 5: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 65 = 2(x + 61) - 142", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 65, \"c\": 2, \"d\": 61, \"f\": -142, \"x\": -17}", "seed": "930886631284107280", "semantic_fingerprint": "sha256:75c5eb8399015b7bd37d49e2e992a546cb9c9e73eb2b6d5e42634b12f990d17e", "generator_version": "3.0"}
{"id": "v3_test_id_00005441", "prompt": "Calculate: -26 + 0", "solution_steps": ["Add: -26 + 0 = -26"], "final_answer": "-26", "answer_type": "integer", "kind": "expression", "math_text": "-26 + 0", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": 0}", "seed": "7748567185480507988", "semantic_fingerprint": "sha256:a488fb9a56ad9b62222f35662a428a3ddfeca94a77faf63b71425abcc96151d0", "generator_version": "3.0"}
{"id": "v3_test_id_00005442", "prompt": "What is (70 + 6) / (-1 - 2)?", "solution_steps": ["Add: 70 + 6 = 76", "Subtract: -1 - 2 = -3", "Divide: 76 / (-3) = -76/3"], "final_answer": "-76/3", "answer_type": "rational", "kind": "expression", "math_text": "(70 + 6) / (-1 - 2)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": 6, \"c\": -1, \"d\": 2}", "seed": "8415717838340977060", "semantic_fingerprint": "sha256:4cd1f56aa00c64cb8ffd356ea896844216d780d5abfb17075cbde601165ded3d", "generator_version": "3.0"}
{"id": "v3_test_id_00005443", "prompt": "Calculate: -108 / (-7 + (-8))", "solution_steps": ["Add: -7 + (-8) = -15", "Divide: -108 / (-15) = 36/5"], "final_answer": "36/5", "answer_type": "rational", "kind": "expression", "math_text": "-108 / (-7 + (-8))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -108, \"b\": -7, \"c\": -8}", "seed": "16034185443163505037", "semantic_fingerprint": "sha256:f8de63f8a46be9552ffd3d29e6a24688672b40d2b2e1d3006b09ba9b82820fbd", "generator_version": "3.0"}
{"id": "v3_test_id_00005444", "prompt": "Compute: -303 / 2", "solution_steps": ["Divide: -303 / 2 = -303/2"], "final_answer": "-303/2", "answer_type": "rational", "kind": "expression", "math_text": "-303 / 2", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -303, \"b\": 2}", "seed": "12117162780119688442", "semantic_fingerprint": "sha256:d7d08e2f727523544a7d2e468ee6ae37478c3511f8f4f650e15e0777ca602a27", "generator_version": "3.0"}
{"id": "v3_test_id_00005445", "prompt": "Find x: -9(x - 25) = 2x + 412", "solution_steps": ["Expand: -9x + 225 = 2x + 412", "Subtract 2x from both sides: -11x + 225 = 412", "Subtract 225 from both sides: -11x = 187", "Divide both sides by -11: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 25) = 2x + 412", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 25, \"c\": 2, \"e\": 412, \"x\": -17}", "seed": "2932145622783604103", "semantic_fingerprint": "sha256:1606fd22979e75f236174fde42faa01a0ff3aa0addd4af2f45d678119e339997", "generator_version": "3.0"}
{"id": "v3_test_id_00005446", "prompt": "Compute: -31 + 34 / (9 + (0 + (-471)))", "solution_steps": ["Add: 0 + (-471) = -471", "Add: 9 + (-471) = -462", "Divide: 34 / (-462) = -17/231", "Add: -31 + (-17/231) = -7178/231"], "final_answer": "-7178/231", "answer_type": "rational", "kind": "expression", "math_text": "-31 + 34 / (9 + (0 + (-471)))", "variable": null, "family": "expression_4op", "shape": "(+ n (/ n (+ n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -31, \"b\": 34, \"c\": 9, \"d\": 0, \"e\": -471}", "seed": "17362179633531109657", "semantic_fingerprint": "sha256:3078c8fc3add5d3b64d10d27d921d35ff750064b2984a5f75178640b344112c7", "generator_version": "3.0"}
{"id": "v3_test_id_00005447", "prompt": "Compute: -181 / (-82 - (-462)) * 5", "solution_steps": ["Subtract: -82 - (-462) = 380", "Divide: -181 / 380 = -181/380", "Multiply: (-181/380) * 5 = -181/76"], "final_answer": "-181/76", "answer_type": "rational", "kind": "expression", "math_text": "-181 / (-82 - (-462)) * 5", "variable": null, "family": "expression_3op", "shape": "(* (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -181, \"b\": -82, \"c\": -462, \"d\": 5}", "seed": "2051017239515294667", "semantic_fingerprint": "sha256:537b6ec68715528fbbe99627842b56b5f27651bfa7066dcd4442b3fbcc81d13a", "generator_version": "3.0"}
{"id": "v3_test_id_00005448", "prompt": "Evaluate: 66 - (-86 - (-6))", "solution_steps": ["Subtract: -86 - (-6) = -80", "Subtract: 66 - (-80) = 146"], "final_answer": "146", "answer_type": "integer", "kind": "expression", "math_text": "66 - (-86 - (-6))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -86, \"c\": -6}", "seed": "8408793921561133195", "semantic_fingerprint": "sha256:ba4eb4742f62534997f49d7b7b2225a3caba63cfa838d7d9e20e12b3af04ff46", "generator_version": "3.0"}
{"id": "v3_test_id_00005449", "prompt": "Calculate: -691 - (-445)", "solution_steps": ["Subtract: -691 - (-445) = -246"], "final_answer": "-246", "answer_type": "integer", "kind": "expression", "math_text": "-691 - (-445)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -691, \"b\": -445}", "seed": "1037904888352442748", "semantic_fingerprint": "sha256:370b77d87cfdc2257052b09b63b169a1f1c2f20c5cd284ba5c13d5867bdfccee", "generator_version": "3.0"}
{"id": "v3_test_id_00005450", "prompt": "Compute: (6 + 6) * (-1)", "solution_steps": ["Add: 6 + 6 = 12", "Multiply: 12 * (-1) = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "expression", "math_text": "(6 + 6) * (-1)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"c\": -1}", "seed": "17520634883073146575", "semantic_fingerprint": "sha256:44107e31db130257ae4ba467d87dcb7ae878488ec183475dacee7ef2e7545352", "generator_version": "3.0"}
{"id": "v3_test_id_00005451", "prompt": "Find x: 3x = 11x", "solution_steps": ["Subtract 11x from both sides: -8x = 0", "Divide both sides by -8: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 11x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 11}", "seed": "11920538721357581173", "semantic_fingerprint": "sha256:4097f1cbb5b6589b102817e4a5b2046fc643ab02afc5364205908616c47cf93c", "generator_version": "3.0"}
{"id": "v3_test_id_00005452", "prompt": "Calculate: 52 / 23 / 790", "solution_steps": ["Divide: 52 / 23 = 52/23", "Divide: (52/23) / 790 = 26/9085"], "final_answer": "26/9085", "answer_type": "rational", "kind": "expression", "math_text": "52 / 23 / 790", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 52, \"b\": 23, \"c\": 790}", "seed": "5402196473580431549", "semantic_fingerprint": "sha256:63a25d9a4c8821a5646ebe05cabde9b2c6b18b2bfe2f3a174c37023d9a396183", "generator_version": "3.0"}
{"id": "v3_test_id_00005453", "prompt": "Evaluate: 42 * (-403) + 0", "solution_steps": ["Multiply: 42 * (-403) = -16926", "Add: -16926 + 0 = -16926"], "final_answer": "-16926", "answer_type": "integer", "kind": "expression", "math_text": "42 * (-403) + 0", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": -403, \"c\": 0}", "seed": "8181083323803151709", "semantic_fingerprint": "sha256:dc76f515339a0604e9c5595127ad2b5ef896e27bb2842e8a1713d9f4302b6c3f", "generator_version": "3.0"}
{"id": "v3_test_id_00005454", "prompt": "What value of x satisfies x + 922 = 7?", "solution_steps": ["Subtract 922 from both sides: x = -915"], "final_answer": "-915", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 922 = 7", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 922, \"b\": 7}", "seed": "4912360888403343345", "semantic_fingerprint": "sha256:e1d6f658411b8c2b7cc6a94017df511d9cd3801eaaac118052cc04e540433135", "generator_version": "3.0"}
{"id": "v3_test_id_00005455", "prompt": "Compute: -75 / (-6 + (-54 - (-67))) / (-77)", "solution_steps": ["Subtract: -54 - (-67) = 13", "Add: -6 + 13 = 7", "Divide: -75 / 7 = -75/7", "Divide: (-75/7) / (-77) = 75/539"], "final_answer": "75/539", "answer_type": "rational", "kind": "expression", "math_text": "-75 / (-6 + (-54 - (-67))) / (-77)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (+ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": -6, \"c\": -54, \"d\": -67, \"e\": -77}", "seed": "14415552801805954004", "semantic_fingerprint": "sha256:3f25f65b5cd4636891d6bcf9278fc8312e7627302b28b8dbf9ff7271099ebbdc", "generator_version": "3.0"}
{"id": "v3_test_id_00005456", "prompt": "Find x: 9(x + 5) - 36 = x", "solution_steps": ["Expand: 9x + 45 - 36 = x", "Combine constants: 9x + 9 = x", "Subtract x from both sides: 8x + 9 = 0", "Subtract 9 from both sides: 8x = -9", "Divide both sides by 8: x = -9/8"], "final_answer": "-9/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 5) - 36 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 36}", "seed": "6588917489468572156", "semantic_fingerprint": "sha256:320bee0f3de51df662c6240cc2cffbe8d9460251dfe8d6ee09bdd46555443f93", "generator_version": "3.0"}
{"id": "v3_test_id_00005457", "prompt": "Evaluate: -915 - 991 - 3 / (-52 - (-528)) + 3", "solution_steps": ["Subtract: -915 - 991 = -1906", "Subtract: -52 - (-528) = 476", "Divide: 3 / 476 = 3/476", "Subtract: -1906 - 3/476 = -907259/476", "Add: -907259/476 + 3 = -905831/476"], "final_answer": "-905831/476", "answer_type": "rational", "kind": "expression", "math_text": "-915 - 991 - 3 / (-52 - (-528)) + 3", "variable": null, "family": "expression_5op", "shape": "(+ (- (- n n) (/ n (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -915, \"b\": 991, \"c\": 3, \"d\": -52, \"e\": -528, \"f\": 3}", "seed": "11179013184344822638", "semantic_fingerprint": "sha256:88c86e441a5b7fe7f8ba8fb36ae5b85774c2ce108cffad773cfe7b50dde5f77f", "generator_version": "3.0"}
{"id": "v3_test_id_00005458", "prompt": "Evaluate: (-735 / (-8) - (2 - 31)) / 1 * 27", "solution_steps": ["Divide: -735 / (-8) = 735/8", "Subtract: 2 - 31 = -29", "Subtract: 735/8 - (-29) = 967/8", "Divide: (967/8) / 1 = 967/8", "Multiply: (967/8) * 27 = 26109/8"], "final_answer": "26109/8", "answer_type": "rational", "kind": "expression", "math_text": "(-735 / (-8) - (2 - 31)) / 1 * 27", "variable": null, "family": "expression_5op", "shape": "(* (/ (- (/ n n) (- n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -735, \"b\": -8, \"c\": 2, \"d\": 31, \"e\": 1, \"f\": 27}", "seed": "8244212961325491868", "semantic_fingerprint": "sha256:38a6b3069b0f1082f3bac0a5cca8d6f69d7e539d93032d7415b5ca3376cd2ea0", "generator_version": "3.0"}
{"id": "v3_test_id_00005459", "prompt": "What is 93 / (248 + (-80)) + (-99) - (-4)?", "solution_steps": ["Add: 248 + (-80) = 168", "Divide: 93 / 168 = 31/56", "Add: 31/56 + (-99) = -5513/56", "Subtract: -5513/56 - (-4) = -5289/56"], "final_answer": "-5289/56", "answer_type": "rational", "kind": "expression", "math_text": "93 / (248 + (-80)) + (-99) - (-4)", "variable": null, "family": "expression_4op", "shape": "(- (+ (/ n (+ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": 248, \"c\": -80, \"d\": -99, \"e\": -4}", "seed": "17032029021700912961", "semantic_fingerprint": "sha256:f876ddc28e15db6d01d7e11e565ebcc0903dac6859f15619f1e242f6a473d01b", "generator_version": "3.0"}
{"id": "v3_test_id_00005460", "prompt": "What value of x satisfies 4(x + 32) - 7 = -2(x + 177) + 445?", "solution_steps": ["Expand: 4x + 128 - 7 = -2(x + 177) + 445", "Expand: 4x + 128 - 7 = -2x - 354 + 445", "Combine constants: 4x + 121 = -2x - 354 + 445", "Combine constants: 4x + 121 = -2x + 91", "Add 2x to both sides: 6x + 121 = 91", "Subtract 121 from both sides: 6x = -30", "Divide both sides by 6: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 32) - 7 = -2(x + 177) + 445", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 32, \"c\": 7, \"d\": -2, \"e\": 177, \"g\": 445, \"x\": -5}", "seed": "4746027899909497414", "semantic_fingerprint": "sha256:72fe73759cd0f59f23783c61e5bd76480a9ff4ebef606d6e4b2cc098963db6d2", "generator_version": "3.0"}
{"id": "v3_test_id_00005461", "prompt": "Solve the equation 8x = 11x + 237 for x.", "solution_steps": ["Subtract 11x from both sides: -3x = 237", "Divide both sides by -3: x = -79"], "final_answer": "-79", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 11x + 237", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 11, \"c\": 237}", "seed": "5166839378885130448", "semantic_fingerprint": "sha256:93577243e15aee4169324922a3b130239c2277d9d0f36949dc8e6bbca3457242", "generator_version": "3.0"}
{"id": "v3_test_id_00005462", "prompt": "Solve the equation -8(x + 6) + 48 = x for x.", "solution_steps": ["Expand: -8x - 48 + 48 = x", "Combine constants: -8x = x", "Subtract x from both sides: -9x = 0", "Divide both sides by -9: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 6) + 48 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 6, \"d\": 48, \"x\": 0}", "seed": "9101650375400243970", "semantic_fingerprint": "sha256:63ce21ca15dc5442522ceccc5b8015f4ad159d4b45d683f0924d485a20338c75", "generator_version": "3.0"}
{"id": "v3_test_id_00005463", "prompt": "Solve for x: x + 423 = 2(x + 539) - 6", "solution_steps": ["Expand: x + 423 = 2x + 1078 - 6", "Combine constants: x + 423 = 2x + 1072", "Subtract 2x from both sides: -x + 423 = 1072", "Subtract 423 from both sides: -x = 649", "Divide both sides by -1: x = -649"], "final_answer": "-649", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 423 = 2(x + 539) - 6", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 423, \"b\": 2, \"c\": 539, \"d\": 6}", "seed": "4218446232273438056", "semantic_fingerprint": "sha256:4a668fc8720112a9481a443ea45c771d3805e2f14f61b4b58944d8f92ab60b33", "generator_version": "3.0"}
{"id": "v3_test_id_00005464", "prompt": "Evaluate: 785 - (-2 - 698)", "solution_steps": ["Subtract: -2 - 698 = -700", "Subtract: 785 - (-700) = 1485"], "final_answer": "1485", "answer_type": "integer", "kind": "expression", "math_text": "785 - (-2 - 698)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 785, \"b\": -2, \"c\": 698}", "seed": "6570234257135513693", "semantic_fingerprint": "sha256:9bc182887a2f9161bc20f38c3b0f3eff9f3321a4963be8cb216b13a691fb72ff", "generator_version": "3.0"}
{"id": "v3_test_id_00005465", "prompt": "Calculate: -914 / 4", "solution_steps": ["Divide: -914 / 4 = -457/2"], "final_answer": "-457/2", "answer_type": "rational", "kind": "expression", "math_text": "-914 / 4", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -914, \"b\": 4}", "seed": "13893952613877211962", "semantic_fingerprint": "sha256:7781797484144250b90333a6839dddddc8908c19f02bfdab0684ee1660f3b0d0", "generator_version": "3.0"}
{"id": "v3_test_id_00005466", "prompt": "Compute: -399 + (-3 + 4 - 285)", "solution_steps": ["Add: -3 + 4 = 1", "Subtract: 1 - 285 = -284", "Add: -399 + (-284) = -683"], "final_answer": "-683", "answer_type": "integer", "kind": "expression", "math_text": "-399 + (-3 + 4 - 285)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -399, \"b\": -3, \"c\": 4, \"d\": 285}", "seed": "3255335661898976572", "semantic_fingerprint": "sha256:5d44b95b4f92a878248d90ed3fac56f41546f83f666925d0ac11298c51f28b3f", "generator_version": "3.0"}
{"id": "v3_test_id_00005467", "prompt": "Evaluate: (43 + (4 + (-2))) / 2", "solution_steps": ["Add: 4 + (-2) = 2", "Add: 43 + 2 = 45", "Divide: 45 / 2 = 45/2"], "final_answer": "45/2", "answer_type": "rational", "kind": "expression", "math_text": "(43 + (4 + (-2))) / 2", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 43, \"b\": 4, \"c\": -2, \"d\": 2}", "seed": "4119543609575696268", "semantic_fingerprint": "sha256:10c5030334dcc576172b7ccf9faf519e380fa18c727b014fee0678ba05537604", "generator_version": "3.0"}
{"id": "v3_test_id_00005468", "prompt": "Solve for x: -2x = x + 4", "solution_steps": ["Subtract x from both sides: -3x = 4", "Divide both sides by -3: x = -4/3"], "final_answer": "-4/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2x = x + 4", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 4}", "seed": "5619581697673941458", "semantic_fingerprint": "sha256:987a5f2a20c6206daf81ff4d371852888b714776d30cd5e06504c7482edfd7ee", "generator_version": "3.0"}
{"id": "v3_test_id_00005469", "prompt": "What is (-3 - 0 + 2) / (-55 - (-341))?", "solution_steps": ["Subtract: -3 - 0 = -3", "Add: -3 + 2 = -1", "Subtract: -55 - (-341) = 286", "Divide: -1 / 286 = -1/286"], "final_answer": "-1/286", "answer_type": "rational", "kind": "expression", "math_text": "(-3 - 0 + 2) / (-55 - (-341))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 0, \"c\": 2, \"d\": -55, \"e\": -341}", "seed": "14404213215178083708", "semantic_fingerprint": "sha256:5c0e075a15194a75e79602a50d8d52627381d27fc9a3dae448c65747109089d7", "generator_version": "3.0"}
{"id": "v3_test_id_00005470", "prompt": "Calculate: 8 / 9 / (-8)", "solution_steps": ["Divide: 8 / 9 = 8/9", "Divide: (8/9) / (-8) = -1/9"], "final_answer": "-1/9", "answer_type": "rational", "kind": "expression", "math_text": "8 / 9 / (-8)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": -8}", "seed": "4446479291196238963", "semantic_fingerprint": "sha256:3ce172113357db800746566f79e9561b56832813fc2c2e1dfd4a346803ac01e8", "generator_version": "3.0"}
{"id": "v3_test_id_00005471", "prompt": "Solve for x: 5x - 82 = 6(x + 475) - 4", "solution_steps": ["Expand: 5x - 82 = 6x + 2850 - 4", "Combine constants: 5x - 82 = 6x + 2846", "Subtract 6x from both sides: -x - 82 = 2846", "Add 82 to both sides: -x = 2928", "Divide both sides by -1: x = -2928"], "final_answer": "-2928", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 82 = 6(x + 475) - 4", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 82, \"c\": 6, \"d\": 475, \"e\": 4}", "seed": "9922448453260493182", "semantic_fingerprint": "sha256:662f6dd623b48f1cc85c5b57cb0bc96f1d0e1ca95d7ce63825d9ded7ca113a37", "generator_version": "3.0"}
{"id": "v3_test_id_00005472", "prompt": "Calculate: 2 * (-97 * (-43 / (158 * (-55))))", "solution_steps": ["Multiply: 158 * (-55) = -8690", "Divide: -43 / (-8690) = 43/8690", "Multiply: -97 * (43/8690) = -4171/8690", "Multiply: 2 * (-4171/8690) = -4171/4345"], "final_answer": "-4171/4345", "answer_type": "rational", "kind": "expression", "math_text": "2 * (-97 * (-43 / (158 * (-55))))", "variable": null, "family": "expression_4op", "shape": "(* n (* n (/ n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -97, \"c\": -43, \"d\": 158, \"e\": -55}", "seed": "9971178948251532938", "semantic_fingerprint": "sha256:938446e45694203030c1336497973e71226ed648963b673831efae76cfbe828c", "generator_version": "3.0"}
{"id": "v3_test_id_00005473", "prompt": "Solve the equation -6(x + 37) + 390 = 3(x + 92) for x.", "solution_steps": ["Expand: -6x - 222 + 390 = 3(x + 92)", "Expand: -6x - 222 + 390 = 3x + 276", "Combine constants: -6x + 168 = 3x + 276", "Subtract 3x from both sides: -9x + 168 = 276", "Subtract 168 from both sides: -9x = 108", "Divide both sides by -9: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 37) + 390 = 3(x + 92)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 37, \"c\": 3, \"d\": 92, \"f\": 390, \"x\": -12}", "seed": "14606958035222868360", "semantic_fingerprint": "sha256:a1a5382daaeff015a380ccec129d528947ccd9d5551148ada603ff5fc8fab8e2", "generator_version": "3.0"}
{"id": "v3_test_id_00005474", "prompt": "Calculate: -8 * (-73 + (4 + (-34)))", "solution_steps": ["Add: 4 + (-34) = -30", "Add: -73 + (-30) = -103", "Multiply: -8 * (-103) = 824"], "final_answer": "824", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (-73 + (4 + (-34)))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -73, \"c\": 4, \"d\": -34}", "seed": "9534884373176690727", "semantic_fingerprint": "sha256:94034b12b24169eda5432941b59fec72c9bdcc92b848a6cd644a60560d601947", "generator_version": "3.0"}
{"id": "v3_test_id_00005475", "prompt": "Evaluate: 0 + 815 + (-6 - (-7) / (-60 + (-80)))", "solution_steps": ["Add: 0 + 815 = 815", "Add: -60 + (-80) = -140", "Divide: -7 / (-140) = 1/20", "Subtract: -6 - 1/20 = -121/20", "Add: 815 + (-121/20) = 16179/20"], "final_answer": "16179/20", "answer_type": "rational", "kind": "expression", "math_text": "0 + 815 + (-6 - (-7) / (-60 + (-80)))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- n (/ n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 815, \"c\": -6, \"d\": -7, \"e\": -60, \"f\": -80}", "seed": "6502104725343253601", "semantic_fingerprint": "sha256:6dfb0669d52e4e84ca6b5c07a93ee9273da3edfa1e035fa0356ab6d85fb460ca", "generator_version": "3.0"}
{"id": "v3_test_id_00005476", "prompt": "Solve for x: -3(x + 4) - 236 = 4(x - 69)", "solution_steps": ["Expand: -3x - 12 - 236 = 4(x - 69)", "Expand: -3x - 12 - 236 = 4x - 276", "Combine constants: -3x - 248 = 4x - 276", "Subtract 4x from both sides: -7x - 248 = -276", "Add 248 to both sides: -7x = -28", "Divide both sides by -7: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 4) - 236 = 4(x - 69)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 4, \"c\": 4, \"d\": 69, \"f\": -236, \"x\": 4}", "seed": "4230594489602986322", "semantic_fingerprint": "sha256:13f8ef8c59f2651cce74975f1530b4e91a560449d163e4a46fe197e021aa0962", "generator_version": "3.0"}
{"id": "v3_test_id_00005477", "prompt": "What is 53 - (-6 - 4)?", "solution_steps": ["Subtract: -6 - 4 = -10", "Subtract: 53 - (-10) = 63"], "final_answer": "63", "answer_type": "integer", "kind": "expression", "math_text": "53 - (-6 - 4)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": -6, \"c\": 4}", "seed": "13840591559864478495", "semantic_fingerprint": "sha256:eb8ba99add9765fc605d26abec51d19b52f4a6cebbf0645dd6c5ddb41f939710", "generator_version": "3.0"}
{"id": "v3_test_id_00005478", "prompt": "What is -619 * (-19 + (44 - 2))?", "solution_steps": ["Subtract: 44 - 2 = 42", "Add: -19 + 42 = 23", "Multiply: -619 * 23 = -14237"], "final_answer": "-14237", "answer_type": "integer", "kind": "expression", "math_text": "-619 * (-19 + (44 - 2))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -619, \"b\": -19, \"c\": 44, \"d\": 2}", "seed": "8074239629916069963", "semantic_fingerprint": "sha256:46815e87f4e7dd08b8cd9930ff6156321d8a5eb0abd970688c35c147eb7662bb", "generator_version": "3.0"}
{"id": "v3_test_id_00005479", "prompt": "Compute: 75 / ((0 - (-98)) * (-9))", "solution_steps": ["Subtract: 0 - (-98) = 98", "Multiply: 98 * (-9) = -882", "Divide: 75 / (-882) = -25/294"], "final_answer": "-25/294", "answer_type": "rational", "kind": "expression", "math_text": "75 / ((0 - (-98)) * (-9))", "variable": null, "family": "expression_3op", "shape": "(/ n (* (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 0, \"c\": -98, \"d\": -9}", "seed": "12629265308221835977", "semantic_fingerprint": "sha256:a3bd4a62c0125ab5cfe9fbce6ddca0630965e96648717e38123f30007a993dfa", "generator_version": "3.0"}
{"id": "v3_test_id_00005480", "prompt": "Calculate: 9 + (-582 - (-76))", "solution_steps": ["Subtract: -582 - (-76) = -506", "Add: 9 + (-506) = -497"], "final_answer": "-497", "answer_type": "integer", "kind": "expression", "math_text": "9 + (-582 - (-76))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -582, \"c\": -76}", "seed": "16884748115283645243", "semantic_fingerprint": "sha256:21e4f9dfec3fc5626ed5f267170f02b06f9c0b759be9a4692651a06bcc20209b", "generator_version": "3.0"}
{"id": "v3_test_id_00005481", "prompt": "Calculate: -278 - (-78 + 4 * (-59 / (-4)))", "solution_steps": ["Divide: -59 / (-4) = 59/4", "Multiply: 4 * (59/4) = 59", "Add: -78 + 59 = -19", "Subtract: -278 - (-19) = -259"], "final_answer": "-259", "answer_type": "integer", "kind": "expression", "math_text": "-278 - (-78 + 4 * (-59 / (-4)))", "variable": null, "family": "expression_4op", "shape": "(- n (+ n (* n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -278, \"b\": -78, \"c\": 4, \"d\": -59, \"e\": -4}", "seed": "2805957470433930234", "semantic_fingerprint": "sha256:f444191b101f0bf5e50411ef029b39ffaa1f2fbca13195546d7ebcb727da89f6", "generator_version": "3.0"}
{"id": "v3_test_id_00005482", "prompt": "Calculate: 740 - (7 / (-7) + (-46 - 129)) * 36", "solution_steps": ["Divide: 7 / (-7) = -1", "Subtract: -46 - 129 = -175", "Add: -1 + (-175) = -176", "Multiply: -176 * 36 = -6336", "Subtract: 740 - (-6336) = 7076"], "final_answer": "7076", "answer_type": "integer", "kind": "expression", "math_text": "740 - (7 / (-7) + (-46 - 129)) * 36", "variable": null, "family": "expression_5op", "shape": "(- n (* (+ (/ n n) (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 740, \"b\": 7, \"c\": -7, \"d\": -46, \"e\": 129, \"f\": 36}", "seed": "1415647400144039698", "semantic_fingerprint": "sha256:3ee5d765223c223a3dc8c8ad3dac56f70ca2d37fa4714fba49c011805c51a445", "generator_version": "3.0"}
{"id": "v3_test_id_00005483", "prompt": "Find x: 5(x + 23) + 19 = 4x + 132", "solution_steps": ["Expand: 5x + 115 + 19 = 4x + 132", "Combine constants: 5x + 134 = 4x + 132", "Subtract 4x from both sides: x + 134 = 132", "Subtract 134 from both sides: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 23) + 19 = 4x + 132", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 23, \"c\": 19, \"d\": 4, \"f\": 132, \"x\": -2}", "seed": "4609308605128545448", "semantic_fingerprint": "sha256:d1477974f379ae437eee3a89d7663d4f9ead6ea88b67892ecac857dedb3f0e3b", "generator_version": "3.0"}
{"id": "v3_test_id_00005484", "prompt": "Compute: -2 / (-51 / (-8))", "solution_steps": ["Divide: -51 / (-8) = 51/8", "Divide: -2 / (51/8) = -16/51"], "final_answer": "-16/51", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (-51 / (-8))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -51, \"c\": -8}", "seed": "15794695745412827714", "semantic_fingerprint": "sha256:a4666ab13027fc4642463ebd9ef3ed007dd2d6d7e508da52da4227ff93e55ce1", "generator_version": "3.0"}
{"id": "v3_test_id_00005485", "prompt": "Solve for x: 11x - 338 = x - 348", "solution_steps": ["Subtract x from both sides: 10x - 338 = -348", "Add 338 to both sides: 10x = -10", "Divide both sides by 10: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 338 = x - 348", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 338, \"d\": -348, \"x\": -1}", "seed": "6080618090347958352", "semantic_fingerprint": "sha256:2de73f7ed71a60dee8ce787a7fe174a4f0f4fa044e3872040b9a9fb8d533a4c1", "generator_version": "3.0"}
{"id": "v3_test_id_00005486", "prompt": "Evaluate: 42 / (873 - 99 / (-119 / (-579)))", "solution_steps": ["Divide: -119 / (-579) = 119/579", "Divide: 99 / (119/579) = 57321/119", "Subtract: 873 - 57321/119 = 46566/119", "Divide: 42 / (46566/119) = 833/7761"], "final_answer": "833/7761", "answer_type": "rational", "kind": "expression", "math_text": "42 / (873 - 99 / (-119 / (-579)))", "variable": null, "family": "expression_4op", "shape": "(/ n (- n (/ n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 42, \"b\": 873, \"c\": 99, \"d\": -119, \"e\": -579}", "seed": "5449938561457075536", "semantic_fingerprint": "sha256:0bdde44bb257455bfe098fe4a1e7a7a7347d6d8d1a3b0dc32de849012cb93088", "generator_version": "3.0"}
{"id": "v3_test_id_00005487", "prompt": "What is -87 / 9 * (-461)?", "solution_steps": ["Divide: -87 / 9 = -29/3", "Multiply: (-29/3) * (-461) = 13369/3"], "final_answer": "13369/3", "answer_type": "rational", "kind": "expression", "math_text": "-87 / 9 * (-461)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": 9, \"c\": -461}", "seed": "18331540424368869139", "semantic_fingerprint": "sha256:23738e425330c066ae887f1dc8996e325863576ae49c55576da96122af74d963", "generator_version": "3.0"}
{"id": "v3_test_id_00005488", "prompt": "Evaluate: -779 * 4", "solution_steps": ["Multiply: -779 * 4 = -3116"], "final_answer": "-3116", "answer_type": "integer", "kind": "expression", "math_text": "-779 * 4", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -779, \"b\": 4}", "seed": "13469153388965760288", "semantic_fingerprint": "sha256:041ea5c1103b053e8d98076cd0e90fdfda387bc5abe364d69e75f93d3416f7c2", "generator_version": "3.0"}
{"id": "v3_test_id_00005489", "prompt": "Calculate: 59 / (926 + (24 - 6 / 21 / (-1)))", "solution_steps": ["Divide: 6 / 21 = 2/7", "Divide: (2/7) / (-1) = -2/7", "Subtract: 24 - (-2/7) = 170/7", "Add: 926 + 170/7 = 6652/7", "Divide: 59 / (6652/7) = 413/6652"], "final_answer": "413/6652", "answer_type": "rational", "kind": "expression", "math_text": "59 / (926 + (24 - 6 / 21 / (-1)))", "variable": null, "family": "expression_5op", "shape": "(/ n (+ n (- n (/ (/ n n) n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 59, \"b\": 926, \"c\": 24, \"d\": 6, \"e\": 21, \"f\": -1}", "seed": "12856534852149530967", "semantic_fingerprint": "sha256:234dbb869d2a44904f8281fe05924affbd75df3ce4e494c927826b23c088180f", "generator_version": "3.0"}
{"id": "v3_test_id_00005490", "prompt": "Calculate: -890 / 5 / ((-825 + 6) / 841)", "solution_steps": ["Divide: -890 / 5 = -178", "Add: -825 + 6 = -819", "Divide: -819 / 841 = -819/841", "Divide: -178 / (-819/841) = 149698/819"], "final_answer": "149698/819", "answer_type": "rational", "kind": "expression", "math_text": "-890 / 5 / ((-825 + 6) / 841)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -890, \"b\": 5, \"c\": -825, \"d\": 6, \"e\": 841}", "seed": "5449344321618156577", "semantic_fingerprint": "sha256:052c907af35a0c64460c1ddf83fca346b63a93e5f66607e76ea4cc6ce684d0f9", "generator_version": "3.0"}
{"id": "v3_test_id_00005491", "prompt": "Compute: (-1 - (-73)) / (17 + (45 + 57) + (-982))", "solution_steps": ["Subtract: -1 - (-73) = 72", "Add: 45 + 57 = 102", "Add: 17 + 102 = 119", "Add: 119 + (-982) = -863", "Divide: 72 / (-863) = -72/863"], "final_answer": "-72/863", "answer_type": "rational", "kind": "expression", "math_text": "(-1 - (-73)) / (17 + (45 + 57) + (-982))", "variable": null, "family": "expression_5op", "shape": "(/ (- n n) (+ (+ n (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -73, \"c\": 17, \"d\": 45, \"e\": 57, \"f\": -982}", "seed": "12511202837792020080", "semantic_fingerprint": "sha256:c4fa5155a401e0b55a68a50a26a2504092ade8ca1ada5cab493ca482d2e2104b", "generator_version": "3.0"}
{"id": "v3_test_id_00005492", "prompt": "What is -4 * (-357) - (-47) - 427?", "solution_steps": ["Multiply: -4 * (-357) = 1428", "Subtract: 1428 - (-47) = 1475", "Subtract: 1475 - 427 = 1048"], "final_answer": "1048", "answer_type": "integer", "kind": "expression", "math_text": "-4 * (-357) - (-47) - 427", "variable": null, "family": "expression_3op", "shape": "(- (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -357, \"c\": -47, \"d\": 427}", "seed": "15134936696353070411", "semantic_fingerprint": "sha256:127b8eadf09feef6699b2a109381a3160f72222de745416669ff613b33464ed2", "generator_version": "3.0"}
{"id": "v3_test_id_00005493", "prompt": "Solve the equation 11(x + 1) = x + 560 for x.", "solution_steps": ["Expand: 11x + 11 = x + 560", "Subtract x from both sides: 10x + 11 = 560", "Subtract 11 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": "11(x + 1) = x + 560", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 1, \"c\": 560}", "seed": "8753496459523132486", "semantic_fingerprint": "sha256:327ccb9ed28dcbad41d90516f4f887a979b08d6381886d5be6b3bfcbb2614450", "generator_version": "3.0"}
{"id": "v3_test_id_00005494", "prompt": "Find x: 8(x + 33) - 16 = 9x + 254", "solution_steps": ["Expand: 8x + 264 - 16 = 9x + 254", "Combine constants: 8x + 248 = 9x + 254", "Subtract 9x from both sides: -x + 248 = 254", "Subtract 248 from both sides: -x = 6", "Divide both sides by -1: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 33) - 16 = 9x + 254", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 33, \"c\": 16, \"d\": 9, \"f\": 254, \"x\": -6}", "seed": "9267616650994866188", "semantic_fingerprint": "sha256:aef56418614af9ee007aa370bd9c3918efd6e73e35ce145112f8edfc8a9e29b8", "generator_version": "3.0"}
{"id": "v3_test_id_00005495", "prompt": "What is 986 / 70 - 0?", "solution_steps": ["Divide: 986 / 70 = 493/35", "Subtract: 493/35 - 0 = 493/35"], "final_answer": "493/35", "answer_type": "rational", "kind": "expression", "math_text": "986 / 70 - 0", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 986, \"b\": 70, \"c\": 0}", "seed": "17202703817297068857", "semantic_fingerprint": "sha256:8678d7073eed732275dff99448c1e035ecdc633cc31aa2782da62ee9c2ce5e4a", "generator_version": "3.0"}
{"id": "v3_test_id_00005496", "prompt": "Calculate: 99 + (-176 - (-5))", "solution_steps": ["Subtract: -176 - (-5) = -171", "Add: 99 + (-171) = -72"], "final_answer": "-72", "answer_type": "integer", "kind": "expression", "math_text": "99 + (-176 - (-5))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": -176, \"c\": -5}", "seed": "7961398107673068724", "semantic_fingerprint": "sha256:664ca6d2fa8a2dc5ff83ec0c57c7887c556821750fbb4d550625bf8806b3d1ff", "generator_version": "3.0"}
{"id": "v3_test_id_00005497", "prompt": "Solve the equation x + 55 = 3x for x.", "solution_steps": ["Subtract 3x from both sides: -2x + 55 = 0", "Subtract 55 from both sides: -2x = -55", "Divide both sides by -2: x = 55/2"], "final_answer": "55/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 55 = 3x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": 3}", "seed": "9542377324766975785", "semantic_fingerprint": "sha256:d11bb39b918e8d5c5ba9462673cb142098683ed975bd2dc0272f4d2423c46dd9", "generator_version": "3.0"}
{"id": "v3_test_id_00005498", "prompt": "Compute: -76 / (16 - (-8)) * 3", "solution_steps": ["Subtract: 16 - (-8) = 24", "Divide: -76 / 24 = -19/6", "Multiply: (-19/6) * 3 = -19/2"], "final_answer": "-19/2", "answer_type": "rational", "kind": "expression", "math_text": "-76 / (16 - (-8)) * 3", "variable": null, "family": "expression_3op", "shape": "(* (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": 16, \"c\": -8, \"d\": 3}", "seed": "14261228455932822044", "semantic_fingerprint": "sha256:918c0cb11a85220a5774534afb26439c6491fd00200b7b58ffdb7855de057ebf", "generator_version": "3.0"}
{"id": "v3_test_id_00005499", "prompt": "Solve the equation 4(x - 55) = 6x + 557 for x.", "solution_steps": ["Expand: 4x - 220 = 6x + 557", "Subtract 6x from both sides: -2x - 220 = 557", "Add 220 to both sides: -2x = 777", "Divide both sides by -2: x = -777/2"], "final_answer": "-777/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 55) = 6x + 557", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 55, \"c\": 6, \"d\": 557}", "seed": "1842725741282518063", "semantic_fingerprint": "sha256:2cfc15a4d6cbc8fe21ede64d8be68c828f106975f4756c4bcbbdfd876fae5caa", "generator_version": "3.0"}
{"id": "v3_test_id_00005500", "prompt": "Calculate: -49 * (-218 - (-8)) / 61 * 1", "solution_steps": ["Subtract: -218 - (-8) = -210", "Multiply: -49 * (-210) = 10290", "Divide: 10290 / 61 = 10290/61", "Multiply: (10290/61) * 1 = 10290/61"], "final_answer": "10290/61", "answer_type": "rational", "kind": "expression", "math_text": "-49 * (-218 - (-8)) / 61 * 1", "variable": null, "family": "expression_4op", "shape": "(* (/ (* n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": -218, \"c\": -8, \"d\": 61, \"e\": 1}", "seed": "7082755021927202614", "semantic_fingerprint": "sha256:3346ac08e29a356b4a56e9f1d4fa253f4f9ffa1b9faccd38500bb91ce8c882c6", "generator_version": "3.0"}
{"id": "v3_test_id_00005501", "prompt": "What value of x satisfies 11x - 578 = -9(x - 21) - 707?", "solution_steps": ["Expand: 11x - 578 = -9x + 189 - 707", "Combine constants: 11x - 578 = -9x - 518", "Add 9x to both sides: 20x - 578 = -518", "Add 578 to both sides: 20x = 60", "Divide both sides by 20: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 578 = -9(x - 21) - 707", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 578, \"c\": -9, \"d\": 21, \"f\": -707, \"x\": 3}", "seed": "10606695713890012055", "semantic_fingerprint": "sha256:1c46bc30523cab773dd845c527a4df0762b729642959c16be72106e71fa29502", "generator_version": "3.0"}
{"id": "v3_test_id_00005502", "prompt": "Solve for x: 6x - 20 = x - 161", "solution_steps": ["Subtract x from both sides: 5x - 20 = -161", "Add 20 to both sides: 5x = -141", "Divide both sides by 5: x = -141/5"], "final_answer": "-141/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6x - 20 = x - 161", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 20, \"c\": 161}", "seed": "7031106054323121823", "semantic_fingerprint": "sha256:50b455b58d5583389e50aa9254a3c140286e4b9ec12079328a38ac3afde48618", "generator_version": "3.0"}
{"id": "v3_test_id_00005503", "prompt": "What is 23 - (-5 + (-43))?", "solution_steps": ["Add: -5 + (-43) = -48", "Subtract: 23 - (-48) = 71"], "final_answer": "71", "answer_type": "integer", "kind": "expression", "math_text": "23 - (-5 + (-43))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": -5, \"c\": -43}", "seed": "4429515834647510009", "semantic_fingerprint": "sha256:9c83be47ccb9d3e75ace5443077484eb096a9473f30eab887b12ebd16baddbbc", "generator_version": "3.0"}
{"id": "v3_test_id_00005504", "prompt": "What is -9 * 0?", "solution_steps": ["Multiply: -9 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-9 * 0", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 0}", "seed": "16923636740227591189", "semantic_fingerprint": "sha256:622705e29648a3b962a6eea5e931a8ad146fc019c7bd688ac3d93aa2f8c418cc", "generator_version": "3.0"}
{"id": "v3_test_id_00005505", "prompt": "Calculate: -66 * (-3 + 89) - (-7)", "solution_steps": ["Add: -3 + 89 = 86", "Multiply: -66 * 86 = -5676", "Subtract: -5676 - (-7) = -5669"], "final_answer": "-5669", "answer_type": "integer", "kind": "expression", "math_text": "-66 * (-3 + 89) - (-7)", "variable": null, "family": "expression_3op", "shape": "(- (* n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": -3, \"c\": 89, \"d\": -7}", "seed": "7208528817740520490", "semantic_fingerprint": "sha256:d0e1447627e16719502359b3346f098a54984cbdb8566f26cc06fb4aec0c5b46", "generator_version": "3.0"}
{"id": "v3_test_id_00005506", "prompt": "Calculate: -8 * (3 - 8 / 405)", "solution_steps": ["Divide: 8 / 405 = 8/405", "Subtract: 3 - 8/405 = 1207/405", "Multiply: -8 * (1207/405) = -9656/405"], "final_answer": "-9656/405", "answer_type": "rational", "kind": "expression", "math_text": "-8 * (3 - 8 / 405)", "variable": null, "family": "expression_3op", "shape": "(* n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 3, \"c\": 8, \"d\": 405}", "seed": "18216521090543272943", "semantic_fingerprint": "sha256:22ecd790762282a56390fcc5143eac054b99b8a6c0d3e4f42f806fb814971d62", "generator_version": "3.0"}
{"id": "v3_test_id_00005507", "prompt": "Solve for x: -11(x - 174) = x + 1", "solution_steps": ["Expand: -11x + 1914 = x + 1", "Subtract x from both sides: -12x + 1914 = 1", "Subtract 1914 from both sides: -12x = -1913", "Divide both sides by -12: x = 1913/12"], "final_answer": "1913/12", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 174) = x + 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 174, \"c\": 1}", "seed": "14502728816364131558", "semantic_fingerprint": "sha256:9bebf4f5232231def58cf0a6b40b232174b364c392ae55be962698bf4bf989fe", "generator_version": "3.0"}
{"id": "v3_test_id_00005508", "prompt": "Solve for x: 8(x + 1) = x - 62", "solution_steps": ["Expand: 8x + 8 = x - 62", "Subtract x from both sides: 7x + 8 = -62", "Subtract 8 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 + 1) = x - 62", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1, \"d\": -62, \"x\": -10}", "seed": "17269469761569133290", "semantic_fingerprint": "sha256:e0974415457fd42590bd0e49da03390da2b693eb2adaeec82246ea7d3bda8f94", "generator_version": "3.0"}
{"id": "v3_test_id_00005509", "prompt": "Compute: 34 * (-66 / (-6) + (-5))", "solution_steps": ["Divide: -66 / (-6) = 11", "Add: 11 + (-5) = 6", "Multiply: 34 * 6 = 204"], "final_answer": "204", "answer_type": "integer", "kind": "expression", "math_text": "34 * (-66 / (-6) + (-5))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 34, \"b\": -66, \"c\": -6, \"d\": -5}", "seed": "5754595418288815553", "semantic_fingerprint": "sha256:5d42d17fb9ed15caebf90c818241661673bdde28f90e715674c171504598e831", "generator_version": "3.0"}
{"id": "v3_test_id_00005510", "prompt": "Find x: 2(x - 77) - 83 = 12x - 47", "solution_steps": ["Expand: 2x - 154 - 83 = 12x - 47", "Combine constants: 2x - 237 = 12x - 47", "Subtract 12x from both sides: -10x - 237 = -47", "Add 237 to both sides: -10x = 190", "Divide both sides by -10: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 77) - 83 = 12x - 47", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 77, \"c\": 83, \"d\": 12, \"f\": -47, \"x\": -19}", "seed": "16398031248776401771", "semantic_fingerprint": "sha256:9c0aab4132e57d74bdd16f8a9156877726f48738ac315867817effacc8db324e", "generator_version": "3.0"}
{"id": "v3_test_id_00005511", "prompt": "Calculate: -195 / 3 / (-64 / (-36 / (-672 + (-822))))", "solution_steps": ["Divide: -195 / 3 = -65", "Add: -672 + (-822) = -1494", "Divide: -36 / (-1494) = 2/83", "Divide: -64 / (2/83) = -2656", "Divide: -65 / (-2656) = 65/2656"], "final_answer": "65/2656", "answer_type": "rational", "kind": "expression", "math_text": "-195 / 3 / (-64 / (-36 / (-672 + (-822))))", "variable": null, "family": "expression_5op", "shape": "(/ (/ n n) (/ n (/ n (+ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -195, \"b\": 3, \"c\": -64, \"d\": -36, \"e\": -672, \"f\": -822}", "seed": "14993287881202231638", "semantic_fingerprint": "sha256:739f70be1873c02b6966992ec9de9037261eab860c59690c3679f2c5ae922b65", "generator_version": "3.0"}
{"id": "v3_test_id_00005512", "prompt": "Find x: 8(x + 90) = 12x + 648", "solution_steps": ["Expand: 8x + 720 = 12x + 648", "Subtract 12x from both sides: -4x + 720 = 648", "Subtract 720 from both sides: -4x = -72", "Divide both sides by -4: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 90) = 12x + 648", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 90, \"c\": 12, \"e\": 648, \"x\": 18}", "seed": "10548251653906465032", "semantic_fingerprint": "sha256:08f66570ced30257d3701104d1d783d544ebf3e0e0fe24020120df8ddfd3a0be", "generator_version": "3.0"}
{"id": "v3_test_id_00005513", "prompt": "Calculate: 0 * (-54) + 2", "solution_steps": ["Multiply: 0 * (-54) = 0", "Add: 0 + 2 = 2"], "final_answer": "2", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-54) + 2", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -54, \"c\": 2}", "seed": "3494793022243067983", "semantic_fingerprint": "sha256:155c56fff38dbb298051f7a9904713e22bfcab5618d3ef6e82b430242e638b44", "generator_version": "3.0"}
{"id": "v3_test_id_00005514", "prompt": "Compute: -25 / (-5) * (-502 - (-756)) / (-6)", "solution_steps": ["Divide: -25 / (-5) = 5", "Subtract: -502 - (-756) = 254", "Multiply: 5 * 254 = 1270", "Divide: 1270 / (-6) = -635/3"], "final_answer": "-635/3", "answer_type": "rational", "kind": "expression", "math_text": "-25 / (-5) * (-502 - (-756)) / (-6)", "variable": null, "family": "expression_4op", "shape": "(/ (* (/ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": -5, \"c\": -502, \"d\": -756, \"e\": -6}", "seed": "11564369071134686129", "semantic_fingerprint": "sha256:4cfa3714b1b641f752e832b4d679b50abb2e9e3e032941432d1dca0259a398bc", "generator_version": "3.0"}
{"id": "v3_test_id_00005515", "prompt": "Solve the equation 7(x - 13) - 534 = x - 679 for x.", "solution_steps": ["Expand: 7x - 91 - 534 = x - 679", "Combine constants: 7x - 625 = x - 679", "Subtract x from both sides: 6x - 625 = -679", "Add 625 to both sides: 6x = -54", "Divide both sides by 6: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 13) - 534 = x - 679", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 13, \"c\": 534, \"e\": -679, \"x\": -9}", "seed": "12374636512071579004", "semantic_fingerprint": "sha256:49d925bff7a506f557c8ee1305b5fdddfb800b6059ec5ea971167f3673b608b6", "generator_version": "3.0"}
{"id": "v3_test_id_00005516", "prompt": "What is -420 / (-47 / 2 * (-366)) - 6?", "solution_steps": ["Divide: -47 / 2 = -47/2", "Multiply: (-47/2) * (-366) = 8601", "Divide: -420 / 8601 = -140/2867", "Subtract: -140/2867 - 6 = -17342/2867"], "final_answer": "-17342/2867", "answer_type": "rational", "kind": "expression", "math_text": "-420 / (-47 / 2 * (-366)) - 6", "variable": null, "family": "expression_4op", "shape": "(- (/ n (* (/ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -420, \"b\": -47, \"c\": 2, \"d\": -366, \"e\": 6}", "seed": "3341644284207760052", "semantic_fingerprint": "sha256:68270cef9fd0fd966889b3b84ea2b333b04f1566d185e728a30f58ba92a62968", "generator_version": "3.0"}
{"id": "v3_test_id_00005517", "prompt": "What is -9 - 118 / (-55)?", "solution_steps": ["Divide: 118 / (-55) = -118/55", "Subtract: -9 - (-118/55) = -377/55"], "final_answer": "-377/55", "answer_type": "rational", "kind": "expression", "math_text": "-9 - 118 / (-55)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 118, \"c\": -55}", "seed": "15873743428843936520", "semantic_fingerprint": "sha256:eca6ef48ace850b59ba4e7f2ec82d51d96d2babee50b46e9075fecbacc391d13", "generator_version": "3.0"}
{"id": "v3_test_id_00005518", "prompt": "Evaluate: 277 + 357 / (-714) - (-20) - (-1)", "solution_steps": ["Divide: 357 / (-714) = -1/2", "Add: 277 + (-1/2) = 553/2", "Subtract: 553/2 - (-20) = 593/2", "Subtract: 593/2 - (-1) = 595/2"], "final_answer": "595/2", "answer_type": "rational", "kind": "expression", "math_text": "277 + 357 / (-714) - (-20) - (-1)", "variable": null, "family": "expression_4op", "shape": "(- (- (+ n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 277, \"b\": 357, \"c\": -714, \"d\": -20, \"e\": -1}", "seed": "17861578080052695987", "semantic_fingerprint": "sha256:7a8f7ce5e4bfe2164fff7e2d9731a088a0752ba5efb5dc98f6f7ade5fe82a294", "generator_version": "3.0"}
{"id": "v3_test_id_00005519", "prompt": "Find x: 5x + 13 = -8x", "solution_steps": ["Add 8x to both sides: 13x + 13 = 0", "Subtract 13 from both sides: 13x = -13", "Divide both sides by 13: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 13 = -8x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -8, \"d\": 13, \"x\": -1}", "seed": "6235385031333257019", "semantic_fingerprint": "sha256:31dfb375aeca7a4e45af9c44c4618975e36e1c151d4391bb53238d60a3adcf4b", "generator_version": "3.0"}
{"id": "v3_test_id_00005520", "prompt": "Calculate: (51 + 75) * (-46 - (-7) / 11)", "solution_steps": ["Add: 51 + 75 = 126", "Divide: -7 / 11 = -7/11", "Subtract: -46 - (-7/11) = -499/11", "Multiply: 126 * (-499/11) = -62874/11"], "final_answer": "-62874/11", "answer_type": "rational", "kind": "expression", "math_text": "(51 + 75) * (-46 - (-7) / 11)", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 75, \"c\": -46, \"d\": -7, \"e\": 11}", "seed": "12147102302620252357", "semantic_fingerprint": "sha256:d647321e9f7b94d2774799a3e2ddce5f92dd1fafe8f05758fe98456237596af2", "generator_version": "3.0"}
{"id": "v3_test_id_00005521", "prompt": "What is -19 * 481 - (853 + (-17))?", "solution_steps": ["Multiply: -19 * 481 = -9139", "Add: 853 + (-17) = 836", "Subtract: -9139 - 836 = -9975"], "final_answer": "-9975", "answer_type": "integer", "kind": "expression", "math_text": "-19 * 481 - (853 + (-17))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": 481, \"c\": 853, \"d\": -17}", "seed": "7791033591988925296", "semantic_fingerprint": "sha256:2140f88a6dce0c1244ec321e24889b8e11b9a7d3e90d7af88062114e76dc4860", "generator_version": "3.0"}
{"id": "v3_test_id_00005522", "prompt": "Evaluate: -85 + (50 - 406 * (-34))", "solution_steps": ["Multiply: 406 * (-34) = -13804", "Subtract: 50 - (-13804) = 13854", "Add: -85 + 13854 = 13769"], "final_answer": "13769", "answer_type": "integer", "kind": "expression", "math_text": "-85 + (50 - 406 * (-34))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": 50, \"c\": 406, \"d\": -34}", "seed": "5432585227603668419", "semantic_fingerprint": "sha256:fad7a72450203caf22dcbc1fe6f18c9cd05f5d8d6ed425be08da960a6b53305d", "generator_version": "3.0"}
{"id": "v3_test_id_00005523", "prompt": "Compute: 550 * 606", "solution_steps": ["Multiply: 550 * 606 = 333300"], "final_answer": "333300", "answer_type": "integer", "kind": "expression", "math_text": "550 * 606", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 550, \"b\": 606}", "seed": "15485491892301106392", "semantic_fingerprint": "sha256:f4a9daff65f374bf8b389ac524cf1adedaa2513febd7662c3f8dd77b6af2c570", "generator_version": "3.0"}
{"id": "v3_test_id_00005524", "prompt": "What is -88 + 119?", "solution_steps": ["Add: -88 + 119 = 31"], "final_answer": "31", "answer_type": "integer", "kind": "expression", "math_text": "-88 + 119", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": 119}", "seed": "18412947319683562256", "semantic_fingerprint": "sha256:42def973c4ac8ab3a418b1bf487e78ef1788f63b99ec82944f1107776a67113e", "generator_version": "3.0"}
{"id": "v3_test_id_00005525", "prompt": "What is 7 / (-8)?", "solution_steps": ["Divide: 7 / (-8) = -7/8"], "final_answer": "-7/8", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-8)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -8}", "seed": "5722469352155613565", "semantic_fingerprint": "sha256:3d21244d486be456dee27c7da96387c231ccdade5f353736387b8ba5052acb9f", "generator_version": "3.0"}
{"id": "v3_test_id_00005526", "prompt": "Compute: (62 - (-4)) / (-57 - 19)", "solution_steps": ["Subtract: 62 - (-4) = 66", "Subtract: -57 - 19 = -76", "Divide: 66 / (-76) = -33/38"], "final_answer": "-33/38", "answer_type": "rational", "kind": "expression", "math_text": "(62 - (-4)) / (-57 - 19)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": -4, \"c\": -57, \"d\": 19}", "seed": "3559137241066214664", "semantic_fingerprint": "sha256:1d988c44efc737b89312573377f34a113ae123a25c8c5f73b7e0e97322d8797a", "generator_version": "3.0"}
{"id": "v3_test_id_00005527", "prompt": "Compute: -252 + (-53) + (-4) + (-95) / 10", "solution_steps": ["Add: -252 + (-53) = -305", "Add: -305 + (-4) = -309", "Divide: -95 / 10 = -19/2", "Add: -309 + (-19/2) = -637/2"], "final_answer": "-637/2", "answer_type": "rational", "kind": "expression", "math_text": "-252 + (-53) + (-4) + (-95) / 10", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -252, \"b\": -53, \"c\": -4, \"d\": -95, \"e\": 10}", "seed": "3202718898494955819", "semantic_fingerprint": "sha256:766d00c8d078357a9be5a3ea6aba0ac323f4438a497e34ccdd040d8aef12935a", "generator_version": "3.0"}
{"id": "v3_test_id_00005528", "prompt": "Find x: x = 12(x + 32) - 428", "solution_steps": ["Expand: x = 12x + 384 - 428", "Combine constants: x = 12x - 44", "Subtract 12x from both sides: -11x = -44", "Divide both sides by -11: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 12(x + 32) - 428", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 32, \"d\": -428, \"x\": 4}", "seed": "16475654736998166021", "semantic_fingerprint": "sha256:b70da51f3167c5a6a3b677762ef6fad37ff3243ae4f4eb270051d5b4d3dd3e4d", "generator_version": "3.0"}
{"id": "v3_test_id_00005529", "prompt": "What is 942 - (-8)?", "solution_steps": ["Subtract: 942 - (-8) = 950"], "final_answer": "950", "answer_type": "integer", "kind": "expression", "math_text": "942 - (-8)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 942, \"b\": -8}", "seed": "15198161953150730595", "semantic_fingerprint": "sha256:c16bb00b71c26ee7716170509419ed30243d6b5a86d81ab859c0c48c5455aa57", "generator_version": "3.0"}
{"id": "v3_test_id_00005530", "prompt": "Compute: -9 + (-40)", "solution_steps": ["Add: -9 + (-40) = -49"], "final_answer": "-49", "answer_type": "integer", "kind": "expression", "math_text": "-9 + (-40)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -40}", "seed": "13518080310493307223", "semantic_fingerprint": "sha256:6c7a141179c80c39fb6187c12a5e49491ed5fdbddf2f444f7dadcb8abe471a0d", "generator_version": "3.0"}
{"id": "v3_test_id_00005531", "prompt": "Calculate: 6 + (40 + 312)", "solution_steps": ["Add: 40 + 312 = 352", "Add: 6 + 352 = 358"], "final_answer": "358", "answer_type": "integer", "kind": "expression", "math_text": "6 + (40 + 312)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 40, \"c\": 312}", "seed": "8151403669515767533", "semantic_fingerprint": "sha256:6867ae544a8ca8b3b13dc0d8e0b35354be93186da2e8ceb49a5d51d303cfd70c", "generator_version": "3.0"}
{"id": "v3_test_id_00005532", "prompt": "What is (0 + 10) * (-23)?", "solution_steps": ["Add: 0 + 10 = 10", "Multiply: 10 * (-23) = -230"], "final_answer": "-230", "answer_type": "integer", "kind": "expression", "math_text": "(0 + 10) * (-23)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 10, \"c\": -23}", "seed": "9098654760508418977", "semantic_fingerprint": "sha256:09ffb336a60731da43e73fe15aff76d734488600d3e125b5e158fc7b691dbc5d", "generator_version": "3.0"}
{"id": "v3_test_id_00005533", "prompt": "Calculate: (-168 - (0 - (-992))) * (94 - 30)", "solution_steps": ["Subtract: 0 - (-992) = 992", "Subtract: -168 - 992 = -1160", "Subtract: 94 - 30 = 64", "Multiply: -1160 * 64 = -74240"], "final_answer": "-74240", "answer_type": "integer", "kind": "expression", "math_text": "(-168 - (0 - (-992))) * (94 - 30)", "variable": null, "family": "expression_4op", "shape": "(* (- n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -168, \"b\": 0, \"c\": -992, \"d\": 94, \"e\": 30}", "seed": "18180276486586974214", "semantic_fingerprint": "sha256:0acf22f56244e3d25ee88ece167c4260a8a8d0eec0f809994b62813106d49be9", "generator_version": "3.0"}
{"id": "v3_test_id_00005534", "prompt": "Calculate: -544 * 73 * (-3) / (-340)", "solution_steps": ["Multiply: -544 * 73 = -39712", "Multiply: -39712 * (-3) = 119136", "Divide: 119136 / (-340) = -1752/5"], "final_answer": "-1752/5", "answer_type": "rational", "kind": "expression", "math_text": "-544 * 73 * (-3) / (-340)", "variable": null, "family": "expression_3op", "shape": "(/ (* (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -544, \"b\": 73, \"c\": -3, \"d\": -340}", "seed": "11382713387010489828", "semantic_fingerprint": "sha256:5aa6c9479fc96368ed2a21b69efeba418b7d8338d7ddc0008f586f6da5ba91fb", "generator_version": "3.0"}
{"id": "v3_test_id_00005535", "prompt": "Solve the equation 12(x + 379) - 3 = 10(x + 4) for x.", "solution_steps": ["Expand: 12x + 4548 - 3 = 10(x + 4)", "Expand: 12x + 4548 - 3 = 10x + 40", "Combine constants: 12x + 4545 = 10x + 40", "Subtract 10x from both sides: 2x + 4545 = 40", "Subtract 4545 from both sides: 2x = -4505", "Divide both sides by 2: x = -4505/2"], "final_answer": "-4505/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 379) - 3 = 10(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\": 379, \"c\": 3, \"d\": 10, \"e\": 4}", "seed": "1580980532592317633", "semantic_fingerprint": "sha256:35007a4bc15685fdc6861f82f9b94d271b97ed7f463a6f472dfc471a7527ad0d", "generator_version": "3.0"}
{"id": "v3_test_id_00005536", "prompt": "Evaluate: -4 / (-58 * 4) + (-72)", "solution_steps": ["Multiply: -58 * 4 = -232", "Divide: -4 / (-232) = 1/58", "Add: 1/58 + (-72) = -4175/58"], "final_answer": "-4175/58", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-58 * 4) + (-72)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -58, \"c\": 4, \"d\": -72}", "seed": "5495365788614698469", "semantic_fingerprint": "sha256:99a3135b368dae7a93c7efb3666dc4b779aaca0b0280c8c933731234e69b6f6f", "generator_version": "3.0"}
{"id": "v3_test_id_00005537", "prompt": "What value of x satisfies 12x + 33 = 8x + 29?", "solution_steps": ["Subtract 8x from both sides: 4x + 33 = 29", "Subtract 33 from both sides: 4x = -4", "Divide both sides by 4: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 33 = 8x + 29", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 33, \"c\": 8, \"e\": 29, \"x\": -1}", "seed": "3144825904906786166", "semantic_fingerprint": "sha256:8d855f8d5a6e874164b5b32c60b8f73245fd6f45feffc6c8843e640ca7194581", "generator_version": "3.0"}
{"id": "v3_test_id_00005538", "prompt": "What is -9 / 57?", "solution_steps": ["Divide: -9 / 57 = -3/19"], "final_answer": "-3/19", "answer_type": "rational", "kind": "expression", "math_text": "-9 / 57", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 57}", "seed": "8428810536986042179", "semantic_fingerprint": "sha256:df84296c92db7b33bc741b21988ee2efce4a18b6098aa5f4540c5e46d3b284ac", "generator_version": "3.0"}
{"id": "v3_test_id_00005539", "prompt": "Compute: 0 / 78 - 8", "solution_steps": ["Divide: 0 / 78 = 0", "Subtract: 0 - 8 = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "expression", "math_text": "0 / 78 - 8", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 78, \"c\": 8}", "seed": "7245068898719220270", "semantic_fingerprint": "sha256:e0164792ed17c6b31f23bc456f10fc03b91a90e37a3f21cb02d7208685101432", "generator_version": "3.0"}
{"id": "v3_test_id_00005540", "prompt": "Solve the equation 3(x - 21) + 5 = 5(x - 110) - 96 for x.", "solution_steps": ["Expand: 3x - 63 + 5 = 5(x - 110) - 96", "Expand: 3x - 63 + 5 = 5x - 550 - 96", "Combine constants: 3x - 58 = 5x - 550 - 96", "Combine constants: 3x - 58 = 5x - 646", "Subtract 5x from both sides: -2x - 58 = -646", "Add 58 to both sides: -2x = -588", "Divide both sides by -2: x = 294"], "final_answer": "294", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 21) + 5 = 5(x - 110) - 96", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 21, \"c\": 5, \"d\": 5, \"e\": 110, \"f\": 96}", "seed": "3743377328073331656", "semantic_fingerprint": "sha256:cbeef82e5b13a5405dd7726ea46c765457267e28bcccab53469991e1bac71589", "generator_version": "3.0"}
{"id": "v3_test_id_00005541", "prompt": "What value of x satisfies 5x + 320 = -4(x - 80)?", "solution_steps": ["Expand: 5x + 320 = -4x + 320", "Add 4x to both sides: 9x + 320 = 320", "Subtract 320 from both sides: 9x = 0", "Divide both sides by 9: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 320 = -4(x - 80)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -4, \"c\": 80, \"e\": 320, \"x\": 0}", "seed": "15398823803060905679", "semantic_fingerprint": "sha256:7c56b65fea9925f7876382c180042e0a04df7b4ea9b03b6fda7a77682abf6927", "generator_version": "3.0"}
{"id": "v3_test_id_00005542", "prompt": "Compute: (-47 - 60) * (-81)", "solution_steps": ["Subtract: -47 - 60 = -107", "Multiply: -107 * (-81) = 8667"], "final_answer": "8667", "answer_type": "integer", "kind": "expression", "math_text": "(-47 - 60) * (-81)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": 60, \"c\": -81}", "seed": "8061802359705648645", "semantic_fingerprint": "sha256:bf030e4ef87e31a4eff6fa53e20978fa9b0b20de75c6a26213fd435491613b94", "generator_version": "3.0"}
{"id": "v3_test_id_00005543", "prompt": "What value of x satisfies -11(x - 12) + 84 = x?", "solution_steps": ["Expand: -11x + 132 + 84 = x", "Combine constants: -11x + 216 = x", "Subtract x from both sides: -12x + 216 = 0", "Subtract 216 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 - 12) + 84 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 12, \"d\": 84, \"x\": 18}", "seed": "3586567913381167744", "semantic_fingerprint": "sha256:1c2369fe7a2c7c5bfe670d64ccd6d46710ec27b17223232a54653af71ef1f501", "generator_version": "3.0"}
{"id": "v3_test_id_00005544", "prompt": "Solve the equation -9(x - 6) = 10(x + 89) + 17 for x.", "solution_steps": ["Expand: -9x + 54 = 10(x + 89) + 17", "Expand: -9x + 54 = 10x + 890 + 17", "Combine constants: -9x + 54 = 10x + 907", "Subtract 10x from both sides: -19x + 54 = 907", "Subtract 54 from both sides: -19x = 853", "Divide both sides by -19: x = -853/19"], "final_answer": "-853/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x - 6) = 10(x + 89) + 17", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 6, \"c\": 10, \"d\": 89, \"e\": 17}", "seed": "7898700431483278625", "semantic_fingerprint": "sha256:cebfe363265a5333c949b8baa8dbf9b21de064d2956d8e5f7f7c44317480dbaa", "generator_version": "3.0"}
{"id": "v3_test_id_00005545", "prompt": "What value of x satisfies 7(x + 44) - 31 = 12x + 327?", "solution_steps": ["Expand: 7x + 308 - 31 = 12x + 327", "Combine constants: 7x + 277 = 12x + 327", "Subtract 12x from both sides: -5x + 277 = 327", "Subtract 277 from both sides: -5x = 50", "Divide both sides by -5: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 44) - 31 = 12x + 327", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 44, \"c\": 31, \"d\": 12, \"f\": 327, \"x\": -10}", "seed": "15656383732600221087", "semantic_fingerprint": "sha256:3cada4a0cac5c133ebf78c434927a0f249f99421b43170a40fa8762ef118a503", "generator_version": "3.0"}
{"id": "v3_test_id_00005546", "prompt": "Evaluate: 7 * (-1 * (-28 + (-66)) - (-706))", "solution_steps": ["Add: -28 + (-66) = -94", "Multiply: -1 * (-94) = 94", "Subtract: 94 - (-706) = 800", "Multiply: 7 * 800 = 5600"], "final_answer": "5600", "answer_type": "integer", "kind": "expression", "math_text": "7 * (-1 * (-28 + (-66)) - (-706))", "variable": null, "family": "expression_4op", "shape": "(* n (- (* n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -1, \"c\": -28, \"d\": -66, \"e\": -706}", "seed": "13763034833649473586", "semantic_fingerprint": "sha256:a589a1573ddb9c64e3ca095952da2772a6c179ea62d40d51cc054fddde3a98ee", "generator_version": "3.0"}
{"id": "v3_test_id_00005547", "prompt": "Compute: (-2 + 69) / 320", "solution_steps": ["Add: -2 + 69 = 67", "Divide: 67 / 320 = 67/320"], "final_answer": "67/320", "answer_type": "rational", "kind": "expression", "math_text": "(-2 + 69) / 320", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 69, \"c\": 320}", "seed": "3988535333160024903", "semantic_fingerprint": "sha256:68f8db75ba805ec7ba384b3dddb7d7670c900dd2ab885db8f22701c38397c8d0", "generator_version": "3.0"}
{"id": "v3_test_id_00005548", "prompt": "Compute: -90 * 5 - 73 / (11 * (-9 * (-8)))", "solution_steps": ["Multiply: -90 * 5 = -450", "Multiply: -9 * (-8) = 72", "Multiply: 11 * 72 = 792", "Divide: 73 / 792 = 73/792", "Subtract: -450 - 73/792 = -356473/792"], "final_answer": "-356473/792", "answer_type": "rational", "kind": "expression", "math_text": "-90 * 5 - 73 / (11 * (-9 * (-8)))", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (/ n (* n (* n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": 5, \"c\": 73, \"d\": 11, \"e\": -9, \"f\": -8}", "seed": "14761231665273748531", "semantic_fingerprint": "sha256:4398f6bf3bcdd5d75fad1e0d3b152bc5a020ed6279a84818cf7c7f1ca4f491b9", "generator_version": "3.0"}
{"id": "v3_test_id_00005549", "prompt": "Solve for x: 6(x - 573) = -6x", "solution_steps": ["Expand: 6x - 3438 = -6x", "Add 6x to both sides: 12x - 3438 = 0", "Add 3438 to both sides: 12x = 3438", "Divide both sides by 12: x = 573/2"], "final_answer": "573/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 573) = -6x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 573, \"c\": -6}", "seed": "1253824844206102514", "semantic_fingerprint": "sha256:69a15637ce21cac1dc2d2af2e422bfd688c823b9e56c9eaadae19eb3d6756a10", "generator_version": "3.0"}
{"id": "v3_test_id_00005550", "prompt": "What is 19 / (39 - 5)?", "solution_steps": ["Subtract: 39 - 5 = 34", "Divide: 19 / 34 = 19/34"], "final_answer": "19/34", "answer_type": "rational", "kind": "expression", "math_text": "19 / (39 - 5)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": 39, \"c\": 5}", "seed": "13754431732612402004", "semantic_fingerprint": "sha256:4c16d98a7fee4fabf1f4523643225dccada449f1ee49c1f4ebe350557de8d553", "generator_version": "3.0"}
{"id": "v3_test_id_00005551", "prompt": "Evaluate: 761 / (-11) + (-46)", "solution_steps": ["Divide: 761 / (-11) = -761/11", "Add: -761/11 + (-46) = -1267/11"], "final_answer": "-1267/11", "answer_type": "rational", "kind": "expression", "math_text": "761 / (-11) + (-46)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 761, \"b\": -11, \"c\": -46}", "seed": "15308171666766888030", "semantic_fingerprint": "sha256:723391c33956cacc5003ffd7b3078e749cbb559c1ea346f14b13ed5eac5ecc1e", "generator_version": "3.0"}
{"id": "v3_test_id_00005552", "prompt": "Compute: (62 + 7) / (-95)", "solution_steps": ["Add: 62 + 7 = 69", "Divide: 69 / (-95) = -69/95"], "final_answer": "-69/95", "answer_type": "rational", "kind": "expression", "math_text": "(62 + 7) / (-95)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": 7, \"c\": -95}", "seed": "5994243578336555278", "semantic_fingerprint": "sha256:7799e798e3f0a670368b3ff82eba23c0ab9973bef3c01c61d6caf672beebbb0a", "generator_version": "3.0"}
{"id": "v3_test_id_00005553", "prompt": "Evaluate: 72 * (-303) + 9 - (-451 + 58)", "solution_steps": ["Multiply: 72 * (-303) = -21816", "Add: -21816 + 9 = -21807", "Add: -451 + 58 = -393", "Subtract: -21807 - (-393) = -21414"], "final_answer": "-21414", "answer_type": "integer", "kind": "expression", "math_text": "72 * (-303) + 9 - (-451 + 58)", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": -303, \"c\": 9, \"d\": -451, \"e\": 58}", "seed": "15581494303958096393", "semantic_fingerprint": "sha256:cfdfe17b7dc77778cb640a06400553b7c5f2c655a103751af9c26484b996885b", "generator_version": "3.0"}
{"id": "v3_test_id_00005554", "prompt": "Evaluate: 7 + (-11)", "solution_steps": ["Add: 7 + (-11) = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "expression", "math_text": "7 + (-11)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -11}", "seed": "4401271433582314116", "semantic_fingerprint": "sha256:e7f7b9ec5c6f6cb426d91020f5b282a839fc0087492deea500a2b68a1075d27a", "generator_version": "3.0"}
{"id": "v3_test_id_00005555", "prompt": "Calculate: 8 * (-526 - (-423)) - (-599)", "solution_steps": ["Subtract: -526 - (-423) = -103", "Multiply: 8 * (-103) = -824", "Subtract: -824 - (-599) = -225"], "final_answer": "-225", "answer_type": "integer", "kind": "expression", "math_text": "8 * (-526 - (-423)) - (-599)", "variable": null, "family": "expression_3op", "shape": "(- (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -526, \"c\": -423, \"d\": -599}", "seed": "8036889362365497654", "semantic_fingerprint": "sha256:57fdd5c68b8eff3c453afbaec7a248d25dcfe0a342d66fdebdbcd3eb45df6d15", "generator_version": "3.0"}
{"id": "v3_test_id_00005556", "prompt": "Compute: 53 - (-3)", "solution_steps": ["Subtract: 53 - (-3) = 56"], "final_answer": "56", "answer_type": "integer", "kind": "expression", "math_text": "53 - (-3)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": -3}", "seed": "5263920787823458532", "semantic_fingerprint": "sha256:62535de903d973475f2420be041e960f13c3ef92b116784775d53f9509dcabd9", "generator_version": "3.0"}
{"id": "v3_test_id_00005557", "prompt": "What value of x satisfies x = 12(x + 66) - 715?", "solution_steps": ["Expand: x = 12x + 792 - 715", "Combine constants: x = 12x + 77", "Subtract 12x from both sides: -11x = 77", "Divide both sides by -11: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 12(x + 66) - 715", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 66, \"d\": -715, \"x\": -7}", "seed": "5037371219424091364", "semantic_fingerprint": "sha256:4d59f6429323a42350836492347609320c10a8bcb6f1df0f5b25c7b43a822c06", "generator_version": "3.0"}
{"id": "v3_test_id_00005558", "prompt": "What value of x satisfies 10x + 97 = 3(x + 800) + 463?", "solution_steps": ["Expand: 10x + 97 = 3x + 2400 + 463", "Combine constants: 10x + 97 = 3x + 2863", "Subtract 3x from both sides: 7x + 97 = 2863", "Subtract 97 from both sides: 7x = 2766", "Divide both sides by 7: x = 2766/7"], "final_answer": "2766/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x + 97 = 3(x + 800) + 463", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 97, \"c\": 3, \"d\": 800, \"e\": 463}", "seed": "1699329333163937017", "semantic_fingerprint": "sha256:5de2992daeb0838b20d496173fabfe585d211d686e33ca5f1caf3dbf66e8f850", "generator_version": "3.0"}
{"id": "v3_test_id_00005559", "prompt": "What value of x satisfies 9(x - 30) = 6(x + 7) - 300?", "solution_steps": ["Expand: 9x - 270 = 6(x + 7) - 300", "Expand: 9x - 270 = 6x + 42 - 300", "Combine constants: 9x - 270 = 6x - 258", "Subtract 6x from both sides: 3x - 270 = -258", "Add 270 to both sides: 3x = 12", "Divide both sides by 3: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 30) = 6(x + 7) - 300", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 30, \"c\": 6, \"d\": 7, \"f\": -300, \"x\": 4}", "seed": "3494113592933827456", "semantic_fingerprint": "sha256:23b2f720aa9d03868bbc45705b6341e71aee62adc2609947f4470bcce1cb2214", "generator_version": "3.0"}
{"id": "v3_test_id_00005560", "prompt": "Compute: -8 + (-88)", "solution_steps": ["Add: -8 + (-88) = -96"], "final_answer": "-96", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (-88)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -88}", "seed": "2815474872874130400", "semantic_fingerprint": "sha256:6bf40334718ab39d7e9a2fcc2959971b7a5eb425aaa91280275e5e54f1a1b692", "generator_version": "3.0"}
{"id": "v3_test_id_00005561", "prompt": "What is 774 / (-4 + 41)?", "solution_steps": ["Add: -4 + 41 = 37", "Divide: 774 / 37 = 774/37"], "final_answer": "774/37", "answer_type": "rational", "kind": "expression", "math_text": "774 / (-4 + 41)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 774, \"b\": -4, \"c\": 41}", "seed": "3363878219124397650", "semantic_fingerprint": "sha256:2098bfcab9ec3faab5b133517f606ea3387b24fc64fc56cc302eed9d86e39c41", "generator_version": "3.0"}
{"id": "v3_test_id_00005562", "prompt": "What value of x satisfies -5x + 26 = 12x - 229?", "solution_steps": ["Subtract 12x from both sides: -17x + 26 = -229", "Subtract 26 from both sides: -17x = -255", "Divide both sides by -17: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x + 26 = 12x - 229", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 26, \"c\": 12, \"e\": -229, \"x\": 15}", "seed": "859421587592202613", "semantic_fingerprint": "sha256:a121aedc529de04f87b3638608676938c6c508fce1d7921480b936faa0df6012", "generator_version": "3.0"}
{"id": "v3_test_id_00005563", "prompt": "What is -2 + (25 - 32)?", "solution_steps": ["Subtract: 25 - 32 = -7", "Add: -2 + (-7) = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "expression", "math_text": "-2 + (25 - 32)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 25, \"c\": 32}", "seed": "4656382531142570387", "semantic_fingerprint": "sha256:a3090ece53428fc343b7c1e4159c27fa8875d9382b5f7dd7b45408c3b71624d2", "generator_version": "3.0"}
{"id": "v3_test_id_00005564", "prompt": "Evaluate: -89 / (-53) - (-4) / (-4 - 0)", "solution_steps": ["Divide: -89 / (-53) = 89/53", "Subtract: -4 - 0 = -4", "Divide: -4 / (-4) = 1", "Subtract: 89/53 - 1 = 36/53"], "final_answer": "36/53", "answer_type": "rational", "kind": "expression", "math_text": "-89 / (-53) - (-4) / (-4 - 0)", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -89, \"b\": -53, \"c\": -4, \"d\": -4, \"e\": 0}", "seed": "9501619432461384098", "semantic_fingerprint": "sha256:50a4a7fb911931d20978854f650a1d546d5469e05d7552ce1a5868c3fe089ad3", "generator_version": "3.0"}
{"id": "v3_test_id_00005565", "prompt": "Evaluate: (9 - (-209)) / (-3) * (-9) / (-634)", "solution_steps": ["Subtract: 9 - (-209) = 218", "Divide: 218 / (-3) = -218/3", "Multiply: (-218/3) * (-9) = 654", "Divide: 654 / (-634) = -327/317"], "final_answer": "-327/317", "answer_type": "rational", "kind": "expression", "math_text": "(9 - (-209)) / (-3) * (-9) / (-634)", "variable": null, "family": "expression_4op", "shape": "(/ (* (/ (- n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -209, \"c\": -3, \"d\": -9, \"e\": -634}", "seed": "6294552891449880057", "semantic_fingerprint": "sha256:344fe5e14a63f571828772e4621c8f70f4e89c4ce8ad321881caa517e2de32dc", "generator_version": "3.0"}
{"id": "v3_test_id_00005566", "prompt": "Find x: 5(x - 4) = 11(x + 777) + 48", "solution_steps": ["Expand: 5x - 20 = 11(x + 777) + 48", "Expand: 5x - 20 = 11x + 8547 + 48", "Combine constants: 5x - 20 = 11x + 8595", "Subtract 11x from both sides: -6x - 20 = 8595", "Add 20 to both sides: -6x = 8615", "Divide both sides by -6: x = -8615/6"], "final_answer": "-8615/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 4) = 11(x + 777) + 48", "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\": 11, \"d\": 777, \"e\": 48}", "seed": "5860839718661678473", "semantic_fingerprint": "sha256:dc4d38835599a89c072ecb00d42c15b999949cd2c0e19250a076f0268708e95b", "generator_version": "3.0"}
{"id": "v3_test_id_00005567", "prompt": "Evaluate: 79 * 0 * 135", "solution_steps": ["Multiply: 79 * 0 = 0", "Multiply: 0 * 135 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "79 * 0 * 135", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": 0, \"c\": 135}", "seed": "6656911588699119284", "semantic_fingerprint": "sha256:c2afb9c487cf92e39d3eedea5e53acb38ba2fc3cf8b7afe697d00001d7d7de02", "generator_version": "3.0"}
{"id": "v3_test_id_00005568", "prompt": "Calculate: -303 - 5 + (-623) + 6", "solution_steps": ["Subtract: -303 - 5 = -308", "Add: -308 + (-623) = -931", "Add: -931 + 6 = -925"], "final_answer": "-925", "answer_type": "integer", "kind": "expression", "math_text": "-303 - 5 + (-623) + 6", "variable": null, "family": "expression_3op", "shape": "(+ (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -303, \"b\": 5, \"c\": -623, \"d\": 6}", "seed": "7551592579107906572", "semantic_fingerprint": "sha256:2030434b2b8fe6870ce64466f2fef186f0896ddbf669c9c992b3b4f38945d0de", "generator_version": "3.0"}
{"id": "v3_test_id_00005569", "prompt": "What is (-4 - (-117)) * ((307 + 34) / 571)?", "solution_steps": ["Subtract: -4 - (-117) = 113", "Add: 307 + 34 = 341", "Divide: 341 / 571 = 341/571", "Multiply: 113 * (341/571) = 38533/571"], "final_answer": "38533/571", "answer_type": "rational", "kind": "expression", "math_text": "(-4 - (-117)) * ((307 + 34) / 571)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -117, \"c\": 307, \"d\": 34, \"e\": 571}", "seed": "17599418320459312534", "semantic_fingerprint": "sha256:aeec0c248b127b6fcba1bf4cc28ab8834cf67d4f100aec0edcdef177dbc76c4c", "generator_version": "3.0"}
{"id": "v3_test_id_00005570", "prompt": "Evaluate: (-97 - 6) * (-90 / (-92) * (-4))", "solution_steps": ["Subtract: -97 - 6 = -103", "Divide: -90 / (-92) = 45/46", "Multiply: (45/46) * (-4) = -90/23", "Multiply: -103 * (-90/23) = 9270/23"], "final_answer": "9270/23", "answer_type": "rational", "kind": "expression", "math_text": "(-97 - 6) * (-90 / (-92) * (-4))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (* (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": 6, \"c\": -90, \"d\": -92, \"e\": -4}", "seed": "16771710146571032553", "semantic_fingerprint": "sha256:a5c0a32b8557dd95f16d0784a998de4b24f0e916e7eec560ab18caf512c4de17", "generator_version": "3.0"}
{"id": "v3_test_id_00005571", "prompt": "Evaluate: 91 / (-58 * (-903)) * (-68) - (-69)", "solution_steps": ["Multiply: -58 * (-903) = 52374", "Divide: 91 / 52374 = 13/7482", "Multiply: (13/7482) * (-68) = -442/3741", "Subtract: -442/3741 - (-69) = 257687/3741"], "final_answer": "257687/3741", "answer_type": "rational", "kind": "expression", "math_text": "91 / (-58 * (-903)) * (-68) - (-69)", "variable": null, "family": "expression_4op", "shape": "(- (* (/ n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 91, \"b\": -58, \"c\": -903, \"d\": -68, \"e\": -69}", "seed": "12213575337623665750", "semantic_fingerprint": "sha256:f8f0df9aa9c9fd5bb2b138047c155a08a2fcd699c737f290be9184b24bf514f8", "generator_version": "3.0"}
{"id": "v3_test_id_00005572", "prompt": "Evaluate: (9 + (-9)) / (-926)", "solution_steps": ["Add: 9 + (-9) = 0", "Divide: 0 / (-926) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(9 + (-9)) / (-926)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -9, \"c\": -926}", "seed": "2852537076391279674", "semantic_fingerprint": "sha256:4515591117ed94b09ff32f0d910f8294f8ab416c06c1d6cd72fcac45157def04", "generator_version": "3.0"}
{"id": "v3_test_id_00005573", "prompt": "Evaluate: 0 * (-604 * 0)", "solution_steps": ["Multiply: -604 * 0 = 0", "Multiply: 0 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-604 * 0)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -604, \"c\": 0}", "seed": "10727382349017167762", "semantic_fingerprint": "sha256:45876891516dd8b7cc09fc385b2a00b1ed594c2b12ecb75df92583dbdc26e2b9", "generator_version": "3.0"}
{"id": "v3_test_id_00005574", "prompt": "Find x: 10(x + 38) - 3 = 5(x + 23) + 297", "solution_steps": ["Expand: 10x + 380 - 3 = 5(x + 23) + 297", "Expand: 10x + 380 - 3 = 5x + 115 + 297", "Combine constants: 10x + 377 = 5x + 115 + 297", "Combine constants: 10x + 377 = 5x + 412", "Subtract 5x from both sides: 5x + 377 = 412", "Subtract 377 from both sides: 5x = 35", "Divide both sides by 5: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 38) - 3 = 5(x + 23) + 297", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 38, \"c\": 3, \"d\": 5, \"e\": 23, \"g\": 297, \"x\": 7}", "seed": "16927004189420357060", "semantic_fingerprint": "sha256:42c86f6390512c765f1bc90aad9132e3b06e1cf2e7c3850cbac74fce05a0d13d", "generator_version": "3.0"}
{"id": "v3_test_id_00005575", "prompt": "Compute: 469 + (-77 - 896 * (-94))", "solution_steps": ["Multiply: 896 * (-94) = -84224", "Subtract: -77 - (-84224) = 84147", "Add: 469 + 84147 = 84616"], "final_answer": "84616", "answer_type": "integer", "kind": "expression", "math_text": "469 + (-77 - 896 * (-94))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 469, \"b\": -77, \"c\": 896, \"d\": -94}", "seed": "5532499063977759681", "semantic_fingerprint": "sha256:59ceaf314ef0951b2304c4bd6745f23501525d69eef3084284fc73e6abb39c1e", "generator_version": "3.0"}
{"id": "v3_test_id_00005576", "prompt": "Solve the equation -12(x + 82) = x - 31 for x.", "solution_steps": ["Expand: -12x - 984 = x - 31", "Subtract x from both sides: -13x - 984 = -31", "Add 984 to both sides: -13x = 953", "Divide both sides by -13: x = -953/13"], "final_answer": "-953/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 82) = x - 31", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 82, \"c\": 31}", "seed": "3086232979866247434", "semantic_fingerprint": "sha256:6dfbb1bb0288482898aae016bf3d2448d5d5588640a1d6819f1af4dc68f51773", "generator_version": "3.0"}
{"id": "v3_test_id_00005577", "prompt": "What is -38 - 3?", "solution_steps": ["Subtract: -38 - 3 = -41"], "final_answer": "-41", "answer_type": "integer", "kind": "expression", "math_text": "-38 - 3", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": 3}", "seed": "10711495674867131978", "semantic_fingerprint": "sha256:fea47e80807ef76900246b932cf4cd9fe475d13fa48ef34505df613318cb6593", "generator_version": "3.0"}
{"id": "v3_test_id_00005578", "prompt": "Solve for x: 6(x - 9) + 7 = 5x - 41", "solution_steps": ["Expand: 6x - 54 + 7 = 5x - 41", "Combine constants: 6x - 47 = 5x - 41", "Subtract 5x from both sides: x - 47 = -41", "Add 47 to both sides: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 9) + 7 = 5x - 41", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 9, \"c\": 7, \"d\": 5, \"f\": -41, \"x\": 6}", "seed": "12341967371115571028", "semantic_fingerprint": "sha256:b4e4e4032cc917cc968d90e2d6cfd4d8462411fad7671f58082f344c864a6561", "generator_version": "3.0"}
{"id": "v3_test_id_00005579", "prompt": "What is 15 - (17 + 435) - 71?", "solution_steps": ["Add: 17 + 435 = 452", "Subtract: 15 - 452 = -437", "Subtract: -437 - 71 = -508"], "final_answer": "-508", "answer_type": "integer", "kind": "expression", "math_text": "15 - (17 + 435) - 71", "variable": null, "family": "expression_3op", "shape": "(- (- n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": 17, \"c\": 435, \"d\": 71}", "seed": "11258750766250080457", "semantic_fingerprint": "sha256:a8a6a12b374d54e3316368012aaf0ee2e5c32c0fa51aa5de030c9be1e4c4387b", "generator_version": "3.0"}
{"id": "v3_test_id_00005580", "prompt": "Compute: (-690 + (-335 + (-4))) / (592 / 7) * 2", "solution_steps": ["Add: -335 + (-4) = -339", "Add: -690 + (-339) = -1029", "Divide: 592 / 7 = 592/7", "Divide: -1029 / (592/7) = -7203/592", "Multiply: (-7203/592) * 2 = -7203/296"], "final_answer": "-7203/296", "answer_type": "rational", "kind": "expression", "math_text": "(-690 + (-335 + (-4))) / (592 / 7) * 2", "variable": null, "family": "expression_5op", "shape": "(* (/ (+ n (+ n n)) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -690, \"b\": -335, \"c\": -4, \"d\": 592, \"e\": 7, \"f\": 2}", "seed": "6375726742340797897", "semantic_fingerprint": "sha256:fdb77d4df706b6610473609c41471137f9e281f1477ef73e1b238f54a79ae181", "generator_version": "3.0"}
{"id": "v3_test_id_00005581", "prompt": "What value of x satisfies -12(x + 2) + 52 = -3(x - 99) - 97?", "solution_steps": ["Expand: -12x - 24 + 52 = -3(x - 99) - 97", "Expand: -12x - 24 + 52 = -3x + 297 - 97", "Combine constants: -12x + 28 = -3x + 297 - 97", "Combine constants: -12x + 28 = -3x + 200", "Add 3x to both sides: -9x + 28 = 200", "Subtract 28 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": "-12(x + 2) + 52 = -3(x - 99) - 97", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 2, \"c\": 52, \"d\": -3, \"e\": 99, \"f\": 97}", "seed": "14795628395512152476", "semantic_fingerprint": "sha256:1ebb275363ca327b46573f32bdf73ea93a1543e4b0f4d5e4b40cf6c6784a042a", "generator_version": "3.0"}
{"id": "v3_test_id_00005582", "prompt": "Compute: -8 * (0 / (-61) * (-7 / (-1)))", "solution_steps": ["Divide: 0 / (-61) = 0", "Divide: -7 / (-1) = 7", "Multiply: 0 * 7 = 0", "Multiply: -8 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (0 / (-61) * (-7 / (-1)))", "variable": null, "family": "expression_4op", "shape": "(* n (* (/ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 0, \"c\": -61, \"d\": -7, \"e\": -1}", "seed": "10209289124934961632", "semantic_fingerprint": "sha256:227fbb554d20f31b0d4afffe6a18c3544e344552381a2c7429e23cce3d91f3e9", "generator_version": "3.0"}
{"id": "v3_test_id_00005583", "prompt": "Calculate: 2 * (-73)", "solution_steps": ["Multiply: 2 * (-73) = -146"], "final_answer": "-146", "answer_type": "integer", "kind": "expression", "math_text": "2 * (-73)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -73}", "seed": "409768414562971941", "semantic_fingerprint": "sha256:91a5619bc013772e30db4ab3c1b1b688c2da242917f31d9f84aba2a5dcbce51c", "generator_version": "3.0"}
{"id": "v3_test_id_00005584", "prompt": "Compute: -99 / (-9)", "solution_steps": ["Divide: -99 / (-9) = 11"], "final_answer": "11", "answer_type": "integer", "kind": "expression", "math_text": "-99 / (-9)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": -9}", "seed": "12708443326133878665", "semantic_fingerprint": "sha256:0ff146e04770afb9bf0d4f5fcdb77fe3f20013e3b456612fb1fe2a11056bd69e", "generator_version": "3.0"}
{"id": "v3_test_id_00005585", "prompt": "Find x: x - 866 = -12x - 801", "solution_steps": ["Add 12x to both sides: 13x - 866 = -801", "Add 866 to both sides: 13x = 65", "Divide both sides by 13: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 866 = -12x - 801", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 866, \"b\": -12, \"d\": -801, \"x\": 5}", "seed": "3746510593501965801", "semantic_fingerprint": "sha256:1b40043344c059bf053f654885b6fa6a06a7e0d95779f5926b19041fc4d2dbdc", "generator_version": "3.0"}
{"id": "v3_test_id_00005586", "prompt": "Solve the equation 3x - 198 = -7(x - 20) - 178 for x.", "solution_steps": ["Expand: 3x - 198 = -7x + 140 - 178", "Combine constants: 3x - 198 = -7x - 38", "Add 7x to both sides: 10x - 198 = -38", "Add 198 to both sides: 10x = 160", "Divide both sides by 10: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 198 = -7(x - 20) - 178", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 198, \"c\": -7, \"d\": 20, \"f\": -178, \"x\": 16}", "seed": "12893342202875735779", "semantic_fingerprint": "sha256:647b889749765dd34d99031c6a627f814e029ba1781f38fa282e38e12070f7f5", "generator_version": "3.0"}
{"id": "v3_test_id_00005587", "prompt": "Solve for x: -3(x - 6) + 5 = x", "solution_steps": ["Expand: -3x + 18 + 5 = x", "Combine constants: -3x + 23 = x", "Subtract x from both sides: -4x + 23 = 0", "Subtract 23 from both sides: -4x = -23", "Divide both sides by -4: x = 23/4"], "final_answer": "23/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 6) + 5 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 6, \"c\": 5}", "seed": "9622012089143286376", "semantic_fingerprint": "sha256:ae1d0c3a78c5dbb4ca78d2787ec5dee2d8baabd9006dfd05b40fc2067d02309e", "generator_version": "3.0"}
{"id": "v3_test_id_00005588", "prompt": "What is -167 + 5 * (9 * (-79))?", "solution_steps": ["Multiply: 9 * (-79) = -711", "Multiply: 5 * (-711) = -3555", "Add: -167 + (-3555) = -3722"], "final_answer": "-3722", "answer_type": "integer", "kind": "expression", "math_text": "-167 + 5 * (9 * (-79))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -167, \"b\": 5, \"c\": 9, \"d\": -79}", "seed": "4738794852701598235", "semantic_fingerprint": "sha256:4e2f14814f9bbffe8a916ca53ea1144250caf66e777f55e49d88f62512835240", "generator_version": "3.0"}
{"id": "v3_test_id_00005589", "prompt": "Calculate: 22 / (-81) - (-248)", "solution_steps": ["Divide: 22 / (-81) = -22/81", "Subtract: -22/81 - (-248) = 20066/81"], "final_answer": "20066/81", "answer_type": "rational", "kind": "expression", "math_text": "22 / (-81) - (-248)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": -81, \"c\": -248}", "seed": "17959032319748755447", "semantic_fingerprint": "sha256:61078990cf20ebb45bd2db92ef49fdce9c30d8ff0ebee3eec9dc8a8233db4f28", "generator_version": "3.0"}
{"id": "v3_test_id_00005590", "prompt": "Evaluate: 36 + (-70 + 877) + 4 / (-6)", "solution_steps": ["Add: -70 + 877 = 807", "Add: 36 + 807 = 843", "Divide: 4 / (-6) = -2/3", "Add: 843 + (-2/3) = 2527/3"], "final_answer": "2527/3", "answer_type": "rational", "kind": "expression", "math_text": "36 + (-70 + 877) + 4 / (-6)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (+ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": -70, \"c\": 877, \"d\": 4, \"e\": -6}", "seed": "207161737349309112", "semantic_fingerprint": "sha256:efc90337e55f140f3afbe8d808c2e6877d2262d0a3ab3695a0c9de169ad34f76", "generator_version": "3.0"}
{"id": "v3_test_id_00005591", "prompt": "Evaluate: 52 * (-62)", "solution_steps": ["Multiply: 52 * (-62) = -3224"], "final_answer": "-3224", "answer_type": "integer", "kind": "expression", "math_text": "52 * (-62)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 52, \"b\": -62}", "seed": "13989482045816259483", "semantic_fingerprint": "sha256:0e0cead7e11d735010057202665052d6deaf901b69aa0907c35ed4a8b210c09c", "generator_version": "3.0"}
{"id": "v3_test_id_00005592", "prompt": "Evaluate: -26 / (90 + 31)", "solution_steps": ["Add: 90 + 31 = 121", "Divide: -26 / 121 = -26/121"], "final_answer": "-26/121", "answer_type": "rational", "kind": "expression", "math_text": "-26 / (90 + 31)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": 90, \"c\": 31}", "seed": "251585982106337398", "semantic_fingerprint": "sha256:7d9d9ace9910ea1c8b8c826c3f18a6d18faa5a251cea2a249e8d955bd3fe8445", "generator_version": "3.0"}
{"id": "v3_test_id_00005593", "prompt": "Compute: -6 / 365 / (-1)", "solution_steps": ["Divide: -6 / 365 = -6/365", "Divide: (-6/365) / (-1) = 6/365"], "final_answer": "6/365", "answer_type": "rational", "kind": "expression", "math_text": "-6 / 365 / (-1)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 365, \"c\": -1}", "seed": "14439660830256706771", "semantic_fingerprint": "sha256:b3ca97409f8a978db13c234f20373a98104f98e7dcfc21f6ed0ec0d7e2bf41c6", "generator_version": "3.0"}
{"id": "v3_test_id_00005594", "prompt": "What is 3 / (-37)?", "solution_steps": ["Divide: 3 / (-37) = -3/37"], "final_answer": "-3/37", "answer_type": "rational", "kind": "expression", "math_text": "3 / (-37)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -37}", "seed": "7466784113248179093", "semantic_fingerprint": "sha256:931b8a2edf91b482698ae5968e482cb52d4965cc89c495fd12544d727b3cc458", "generator_version": "3.0"}
{"id": "v3_test_id_00005595", "prompt": "Solve for x: x - 9 = 5(x + 8) - 1", "solution_steps": ["Expand: x - 9 = 5x + 40 - 1", "Combine constants: x - 9 = 5x + 39", "Subtract 5x from both sides: -4x - 9 = 39", "Add 9 to both sides: -4x = 48", "Divide both sides by -4: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 9 = 5(x + 8) - 1", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 5, \"c\": 8, \"e\": -1, \"x\": -12}", "seed": "4599824091764184512", "semantic_fingerprint": "sha256:7270a875643a8a90a77b85b390d81961ae8125475284d7167c7af5c661574d04", "generator_version": "3.0"}
{"id": "v3_test_id_00005596", "prompt": "Compute: (2 + (-233)) * 6", "solution_steps": ["Add: 2 + (-233) = -231", "Multiply: -231 * 6 = -1386"], "final_answer": "-1386", "answer_type": "integer", "kind": "expression", "math_text": "(2 + (-233)) * 6", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -233, \"c\": 6}", "seed": "5759838038042378510", "semantic_fingerprint": "sha256:c633ae51e9c03db1a6d68dbf9010df1420d34d86b5caec6e12eb64e2597e8646", "generator_version": "3.0"}
{"id": "v3_test_id_00005597", "prompt": "Compute: -517 + (-28) * (-653) / (-17)", "solution_steps": ["Multiply: -28 * (-653) = 18284", "Divide: 18284 / (-17) = -18284/17", "Add: -517 + (-18284/17) = -27073/17"], "final_answer": "-27073/17", "answer_type": "rational", "kind": "expression", "math_text": "-517 + (-28) * (-653) / (-17)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -517, \"b\": -28, \"c\": -653, \"d\": -17}", "seed": "6125056006643204872", "semantic_fingerprint": "sha256:9c8a42fee87c2b159a9c704ae43569c67784d1fff5c93a4e4334ba53500ca088", "generator_version": "3.0"}
{"id": "v3_test_id_00005598", "prompt": "Solve the equation x = -7(x - 8) - 136 for x.", "solution_steps": ["Expand: x = -7x + 56 - 136", "Combine constants: x = -7x - 80", "Add 7x to both sides: 8x = -80", "Divide both sides by 8: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -7(x - 8) - 136", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 8, \"d\": -136, \"x\": -10}", "seed": "12906428230242075113", "semantic_fingerprint": "sha256:d9a25399a19ac6babd126790ec5f81843dfcac8d96f288887c53a3276863fd15", "generator_version": "3.0"}
{"id": "v3_test_id_00005599", "prompt": "Compute: 698 * (-6 - 6)", "solution_steps": ["Subtract: -6 - 6 = -12", "Multiply: 698 * (-12) = -8376"], "final_answer": "-8376", "answer_type": "integer", "kind": "expression", "math_text": "698 * (-6 - 6)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 698, \"b\": -6, \"c\": 6}", "seed": "11035614406431842905", "semantic_fingerprint": "sha256:1f7de4602eca6ff30cd1ce360d1eadaba073d13287cf3b86f4f884f549e39fa8", "generator_version": "3.0"}
{"id": "v3_test_id_00005600", "prompt": "Evaluate: (9 - 61) * ((9 + 0 * (-422)) / (-3))", "solution_steps": ["Subtract: 9 - 61 = -52", "Multiply: 0 * (-422) = 0", "Add: 9 + 0 = 9", "Divide: 9 / (-3) = -3", "Multiply: -52 * (-3) = 156"], "final_answer": "156", "answer_type": "integer", "kind": "expression", "math_text": "(9 - 61) * ((9 + 0 * (-422)) / (-3))", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (/ (+ n (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 61, \"c\": 9, \"d\": 0, \"e\": -422, \"f\": -3}", "seed": "7842241245123583868", "semantic_fingerprint": "sha256:f58416fc0d0b32b22baf4ad2a1685f1c1364e1b9d30366e223ac5191bbae05c8", "generator_version": "3.0"}
{"id": "v3_test_id_00005601", "prompt": "Calculate: 0 - (-7) / 28", "solution_steps": ["Divide: -7 / 28 = -1/4", "Subtract: 0 - (-1/4) = 1/4"], "final_answer": "1/4", "answer_type": "rational", "kind": "expression", "math_text": "0 - (-7) / 28", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -7, \"c\": 28}", "seed": "10497349562829415616", "semantic_fingerprint": "sha256:8a93b919e671bc0b84168839cd8864a74f7e523899bf25a2338d484190a2d83f", "generator_version": "3.0"}
{"id": "v3_test_id_00005602", "prompt": "Solve the equation 8(x - 847) = x - 4 for x.", "solution_steps": ["Expand: 8x - 6776 = x - 4", "Subtract x from both sides: 7x - 6776 = -4", "Add 6776 to both sides: 7x = 6772", "Divide both sides by 7: x = 6772/7"], "final_answer": "6772/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 847) = x - 4", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 847, \"c\": 4}", "seed": "17521348709265295555", "semantic_fingerprint": "sha256:eb33d89ff58eb90bb9c97769cf9cd8cfd5125266b003651772b08c70fb65c35b", "generator_version": "3.0"}
{"id": "v3_test_id_00005603", "prompt": "Evaluate: -4 + (97 + 9) + (-92 + (-34))", "solution_steps": ["Add: 97 + 9 = 106", "Add: -4 + 106 = 102", "Add: -92 + (-34) = -126", "Add: 102 + (-126) = -24"], "final_answer": "-24", "answer_type": "integer", "kind": "expression", "math_text": "-4 + (97 + 9) + (-92 + (-34))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 97, \"c\": 9, \"d\": -92, \"e\": -34}", "seed": "1818748859074557633", "semantic_fingerprint": "sha256:75f68ee32bf0dc8d6184f3b3b183ba8b40a5d1393567e7dc57ce435e0999b115", "generator_version": "3.0"}
{"id": "v3_test_id_00005604", "prompt": "Solve the equation 4(x + 6) = 2(x + 6) - 16 for x.", "solution_steps": ["Expand: 4x + 24 = 2(x + 6) - 16", "Expand: 4x + 24 = 2x + 12 - 16", "Combine constants: 4x + 24 = 2x - 4", "Subtract 2x from both sides: 2x + 24 = -4", "Subtract 24 from both sides: 2x = -28", "Divide both sides by 2: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 6) = 2(x + 6) - 16", "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\": 2, \"d\": 6, \"f\": -16, \"x\": -14}", "seed": "2321742139669220567", "semantic_fingerprint": "sha256:4257c01bd7be831542e25996e409e9e9e640c853f0ffc9f495f4dc4f107077bd", "generator_version": "3.0"}
{"id": "v3_test_id_00005605", "prompt": "Calculate: 9 - 56 * (-421)", "solution_steps": ["Multiply: 56 * (-421) = -23576", "Subtract: 9 - (-23576) = 23585"], "final_answer": "23585", "answer_type": "integer", "kind": "expression", "math_text": "9 - 56 * (-421)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 56, \"c\": -421}", "seed": "16392709581017062485", "semantic_fingerprint": "sha256:5f4366f91f82d80182a010c3fed957c5381171b5fbd3731e51e4228aae8f9a18", "generator_version": "3.0"}
{"id": "v3_test_id_00005606", "prompt": "What value of x satisfies -8x + 126 = -2(x - 9)?", "solution_steps": ["Expand: -8x + 126 = -2x + 18", "Add 2x to both sides: -6x + 126 = 18", "Subtract 126 from both sides: -6x = -108", "Divide both sides by -6: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x + 126 = -2(x - 9)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -2, \"c\": 9, \"e\": 126, \"x\": 18}", "seed": "18069110929008851836", "semantic_fingerprint": "sha256:60b95048217d449e6737f8bb4b093836e000cdb83d9f656a2365356637a20fa6", "generator_version": "3.0"}
{"id": "v3_test_id_00005607", "prompt": "What is (9 + (-846) - 60 - 651) / 90?", "solution_steps": ["Add: 9 + (-846) = -837", "Subtract: -837 - 60 = -897", "Subtract: -897 - 651 = -1548", "Divide: -1548 / 90 = -86/5"], "final_answer": "-86/5", "answer_type": "rational", "kind": "expression", "math_text": "(9 + (-846) - 60 - 651) / 90", "variable": null, "family": "expression_4op", "shape": "(/ (- (- (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -846, \"c\": 60, \"d\": 651, \"e\": 90}", "seed": "17761606389791114495", "semantic_fingerprint": "sha256:18c489adb265a2658a4d20d7a9e02e1fb17bdf7203932f6fa36814ca0307cdb1", "generator_version": "3.0"}
{"id": "v3_test_id_00005608", "prompt": "Solve for x: 7(x + 572) = 11(x + 22)", "solution_steps": ["Expand: 7x + 4004 = 11(x + 22)", "Expand: 7x + 4004 = 11x + 242", "Subtract 11x from both sides: -4x + 4004 = 242", "Subtract 4004 from both sides: -4x = -3762", "Divide both sides by -4: x = 1881/2"], "final_answer": "1881/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 572) = 11(x + 22)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 572, \"c\": 11, \"d\": 22}", "seed": "6360720884763446294", "semantic_fingerprint": "sha256:c88c0a7f41474182f5d637fb2c4e5c4776fc3ddf69e1baa54e2e6a2f6805bd19", "generator_version": "3.0"}
{"id": "v3_test_id_00005609", "prompt": "Compute: (-84 - (-558)) / (-10) * (576 - (-10)) / 6", "solution_steps": ["Subtract: -84 - (-558) = 474", "Divide: 474 / (-10) = -237/5", "Subtract: 576 - (-10) = 586", "Multiply: (-237/5) * 586 = -138882/5", "Divide: (-138882/5) / 6 = -23147/5"], "final_answer": "-23147/5", "answer_type": "rational", "kind": "expression", "math_text": "(-84 - (-558)) / (-10) * (576 - (-10)) / 6", "variable": null, "family": "expression_5op", "shape": "(/ (* (/ (- n n) n) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": -558, \"c\": -10, \"d\": 576, \"e\": -10, \"f\": 6}", "seed": "1763700496807914626", "semantic_fingerprint": "sha256:cfaee53211746f303812e411e3507604917909ec1dd00222d9640dffa836b708", "generator_version": "3.0"}
{"id": "v3_test_id_00005610", "prompt": "Solve for x: 9(x - 15) - 7 = -5(x + 49) + 2", "solution_steps": ["Expand: 9x - 135 - 7 = -5(x + 49) + 2", "Expand: 9x - 135 - 7 = -5x - 245 + 2", "Combine constants: 9x - 142 = -5x - 245 + 2", "Combine constants: 9x - 142 = -5x - 243", "Add 5x to both sides: 14x - 142 = -243", "Add 142 to both sides: 14x = -101", "Divide both sides by 14: x = -101/14"], "final_answer": "-101/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 15) - 7 = -5(x + 49) + 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 15, \"c\": 7, \"d\": -5, \"e\": 49, \"f\": 2}", "seed": "10014749154573675937", "semantic_fingerprint": "sha256:e602224a308442641d4ac9dca56f785034331b9a261c658969ef42c7db7d0f22", "generator_version": "3.0"}
{"id": "v3_test_id_00005611", "prompt": "Compute: -39 * (-259) + (-61)", "solution_steps": ["Multiply: -39 * (-259) = 10101", "Add: 10101 + (-61) = 10040"], "final_answer": "10040", "answer_type": "integer", "kind": "expression", "math_text": "-39 * (-259) + (-61)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -39, \"b\": -259, \"c\": -61}", "seed": "2957115077913067226", "semantic_fingerprint": "sha256:ea11fb2549249e5dca6647838aac2322d664d6f1161248982fe9234f35ad07f9", "generator_version": "3.0"}
{"id": "v3_test_id_00005612", "prompt": "Solve for x: x - 8 = 3x", "solution_steps": ["Subtract 3x from both sides: -2x - 8 = 0", "Add 8 to both sides: -2x = 8", "Divide both sides by -2: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 8 = 3x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"c\": -8, \"x\": -4}", "seed": "11897191875122847664", "semantic_fingerprint": "sha256:b8562e216d0b42bfd11cdb59feeb4fd36cdb9ab0d43472cc6e70db5c3fa996d4", "generator_version": "3.0"}
{"id": "v3_test_id_00005613", "prompt": "Compute: -162 * (-61)", "solution_steps": ["Multiply: -162 * (-61) = 9882"], "final_answer": "9882", "answer_type": "integer", "kind": "expression", "math_text": "-162 * (-61)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -162, \"b\": -61}", "seed": "7148625497530729545", "semantic_fingerprint": "sha256:a43c37e51583bebf8d62455cc76ad37e9cfc4666a72060b29e141efbd27f25a4", "generator_version": "3.0"}
{"id": "v3_test_id_00005614", "prompt": "Compute: (-3 + 66) * 24", "solution_steps": ["Add: -3 + 66 = 63", "Multiply: 63 * 24 = 1512"], "final_answer": "1512", "answer_type": "integer", "kind": "expression", "math_text": "(-3 + 66) * 24", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 66, \"c\": 24}", "seed": "1033475000422945597", "semantic_fingerprint": "sha256:d851ab0fdd6fe1aed5d0eec630a84b003d5ac91003bb10ebd9b585c754ca1edb", "generator_version": "3.0"}
{"id": "v3_test_id_00005615", "prompt": "Find x: x = -6x + 94", "solution_steps": ["Add 6x to both sides: 7x = 94", "Divide both sides by 7: x = 94/7"], "final_answer": "94/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -6x + 94", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 94}", "seed": "13496426597450153656", "semantic_fingerprint": "sha256:e8cbbd823226e550f662b69dd461fe08298e347a554c48c4a46a01495115a3f6", "generator_version": "3.0"}
{"id": "v3_test_id_00005616", "prompt": "Calculate: 9 - (-13)", "solution_steps": ["Subtract: 9 - (-13) = 22"], "final_answer": "22", "answer_type": "integer", "kind": "expression", "math_text": "9 - (-13)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -13}", "seed": "12989151409488198030", "semantic_fingerprint": "sha256:3b7ac4ad4a5034d9bb370ebd27aaa85d1c78f02a5eb72ed72b5497c933cc6ea1", "generator_version": "3.0"}
{"id": "v3_test_id_00005617", "prompt": "Evaluate: 16 - 0 - (-8 - 0 + 537 / (-2))", "solution_steps": ["Subtract: 16 - 0 = 16", "Subtract: -8 - 0 = -8", "Divide: 537 / (-2) = -537/2", "Add: -8 + (-537/2) = -553/2", "Subtract: 16 - (-553/2) = 585/2"], "final_answer": "585/2", "answer_type": "rational", "kind": "expression", "math_text": "16 - 0 - (-8 - 0 + 537 / (-2))", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (+ (- n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": 0, \"c\": -8, \"d\": 0, \"e\": 537, \"f\": -2}", "seed": "8331858546291372488", "semantic_fingerprint": "sha256:e98d31f43a017c7996003270bc5ab82421ffb1f51fb3d93c2f41c68c2589be2d", "generator_version": "3.0"}
{"id": "v3_test_id_00005618", "prompt": "Calculate: -9 * (-506 / 6 + (-8))", "solution_steps": ["Divide: -506 / 6 = -253/3", "Add: -253/3 + (-8) = -277/3", "Multiply: -9 * (-277/3) = 831"], "final_answer": "831", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (-506 / 6 + (-8))", "variable": null, "family": "expression_3op", "shape": "(* n (+ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -506, \"c\": 6, \"d\": -8}", "seed": "8147491547929767880", "semantic_fingerprint": "sha256:12da31d8ec4ccd337df3baec27c0e5856caafaedc6c08e0c9fee6fc93b8ffc1c", "generator_version": "3.0"}
{"id": "v3_test_id_00005619", "prompt": "Find x: 9x = -8(x + 1)", "solution_steps": ["Expand: 9x = -8x - 8", "Add 8x to both sides: 17x = -8", "Divide both sides by 17: x = -8/17"], "final_answer": "-8/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "9x = -8(x + 1)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -8, \"c\": 1}", "seed": "2602963031353291641", "semantic_fingerprint": "sha256:96d9b38cf4a43defe836d51fe489a5512e07aa41cce540e330460102ea8a7fec", "generator_version": "3.0"}
{"id": "v3_test_id_00005620", "prompt": "What is (21 - 13) * 0?", "solution_steps": ["Subtract: 21 - 13 = 8", "Multiply: 8 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(21 - 13) * 0", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": 13, \"c\": 0}", "seed": "4144757015444643946", "semantic_fingerprint": "sha256:f5a534d089a3cbacb72631f3142c700d61c093080b337134e584faaea5ee7f9e", "generator_version": "3.0"}
{"id": "v3_test_id_00005621", "prompt": "Solve the equation -5x + 53 = 7(x + 38) - 369 for x.", "solution_steps": ["Expand: -5x + 53 = 7x + 266 - 369", "Combine constants: -5x + 53 = 7x - 103", "Subtract 7x from both sides: -12x + 53 = -103", "Subtract 53 from both sides: -12x = -156", "Divide both sides by -12: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x + 53 = 7(x + 38) - 369", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 53, \"c\": 7, \"d\": 38, \"f\": -369, \"x\": 13}", "seed": "16719861105955461428", "semantic_fingerprint": "sha256:29abd5ee9235144fbd012de0a135b40f38ab3f155f312b470f1bb8ef0b62dfcf", "generator_version": "3.0"}
{"id": "v3_test_id_00005622", "prompt": "Compute: 17 / (-11)", "solution_steps": ["Divide: 17 / (-11) = -17/11"], "final_answer": "-17/11", "answer_type": "rational", "kind": "expression", "math_text": "17 / (-11)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": -11}", "seed": "16168920391610509236", "semantic_fingerprint": "sha256:4fd87de11c015489da606e78fdb29eea09ee9a69e1b85bc587155c8ef470c3f2", "generator_version": "3.0"}
{"id": "v3_test_id_00005623", "prompt": "Calculate: 79 * (-59) * (-88)", "solution_steps": ["Multiply: 79 * (-59) = -4661", "Multiply: -4661 * (-88) = 410168"], "final_answer": "410168", "answer_type": "integer", "kind": "expression", "math_text": "79 * (-59) * (-88)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": -59, \"c\": -88}", "seed": "579625028061310947", "semantic_fingerprint": "sha256:ea4a42b406f642b008d9067884748a40fec04bd4dbc22fa6bb6794cf60541915", "generator_version": "3.0"}
{"id": "v3_test_id_00005624", "prompt": "Evaluate: 712 - (-50 + 3)", "solution_steps": ["Add: -50 + 3 = -47", "Subtract: 712 - (-47) = 759"], "final_answer": "759", "answer_type": "integer", "kind": "expression", "math_text": "712 - (-50 + 3)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 712, \"b\": -50, \"c\": 3}", "seed": "18199933999065350931", "semantic_fingerprint": "sha256:7fb9d97b05d17e49e8107c3aa22f5bbcb03152b566af636e4f778c690be433ed", "generator_version": "3.0"}
{"id": "v3_test_id_00005625", "prompt": "Compute: 0 - (-793) - (-9 + 2) + 16 - (-77)", "solution_steps": ["Subtract: 0 - (-793) = 793", "Add: -9 + 2 = -7", "Subtract: 793 - (-7) = 800", "Add: 800 + 16 = 816", "Subtract: 816 - (-77) = 893"], "final_answer": "893", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-793) - (-9 + 2) + 16 - (-77)", "variable": null, "family": "expression_5op", "shape": "(- (+ (- (- n n) (+ n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -793, \"c\": -9, \"d\": 2, \"e\": 16, \"f\": -77}", "seed": "1229517853979335770", "semantic_fingerprint": "sha256:d834556cdfcd5ea71630db9212e9399638d786d1b4e62e49a5dbe5fd2395493b", "generator_version": "3.0"}
{"id": "v3_test_id_00005626", "prompt": "What is (0 - (-66)) / (-4 - (-301))?", "solution_steps": ["Subtract: 0 - (-66) = 66", "Subtract: -4 - (-301) = 297", "Divide: 66 / 297 = 2/9"], "final_answer": "2/9", "answer_type": "rational", "kind": "expression", "math_text": "(0 - (-66)) / (-4 - (-301))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -66, \"c\": -4, \"d\": -301}", "seed": "14742805331593397748", "semantic_fingerprint": "sha256:5f75932da0287c08e1a4a06f1a666d561be9c556f22f3d9bce67187e44ac1f8b", "generator_version": "3.0"}
{"id": "v3_test_id_00005627", "prompt": "Calculate: -6 - (-7) - (-1)", "solution_steps": ["Subtract: -6 - (-7) = 1", "Subtract: 1 - (-1) = 2"], "final_answer": "2", "answer_type": "integer", "kind": "expression", "math_text": "-6 - (-7) - (-1)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -7, \"c\": -1}", "seed": "16903942637504492452", "semantic_fingerprint": "sha256:44ffabc3ec8ed6ab58c9756b8c859842fd5e2e2477c2cb5ddd97e891db9d0c57", "generator_version": "3.0"}
{"id": "v3_test_id_00005628", "prompt": "Compute: 9 + 42 + 3", "solution_steps": ["Add: 9 + 42 = 51", "Add: 51 + 3 = 54"], "final_answer": "54", "answer_type": "integer", "kind": "expression", "math_text": "9 + 42 + 3", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 42, \"c\": 3}", "seed": "10359858146466842731", "semantic_fingerprint": "sha256:85c517f465cd00c6d8ceda5da66465d3e5f31052b5395f3f0d1a2da98d898a6c", "generator_version": "3.0"}
{"id": "v3_test_id_00005629", "prompt": "What value of x satisfies -4(x - 6) = 4x?", "solution_steps": ["Expand: -4x + 24 = 4x", "Subtract 4x from both sides: -8x + 24 = 0", "Subtract 24 from both sides: -8x = -24", "Divide both sides by -8: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 6) = 4x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 6, \"c\": 4}", "seed": "17110017513157157538", "semantic_fingerprint": "sha256:46591ad7176be225b5f05863355e88e1c6aa5940ded4aa1f4e914dacde498019", "generator_version": "3.0"}
{"id": "v3_test_id_00005630", "prompt": "Compute: (9 + 24) / (-630) - (-8) * 1 / (-41)", "solution_steps": ["Add: 9 + 24 = 33", "Divide: 33 / (-630) = -11/210", "Multiply: -8 * 1 = -8", "Divide: -8 / (-41) = 8/41", "Subtract: -11/210 - 8/41 = -2131/8610"], "final_answer": "-2131/8610", "answer_type": "rational", "kind": "expression", "math_text": "(9 + 24) / (-630) - (-8) * 1 / (-41)", "variable": null, "family": "expression_5op", "shape": "(- (/ (+ n n) n) (/ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 24, \"c\": -630, \"d\": -8, \"e\": 1, \"f\": -41}", "seed": "10387354175516166627", "semantic_fingerprint": "sha256:c9c3a86bacf56979a76f4a33bf36c6f635b7fcb4544b6b8d60da085de837f625", "generator_version": "3.0"}
{"id": "v3_test_id_00005631", "prompt": "Compute: -6 - 61", "solution_steps": ["Subtract: -6 - 61 = -67"], "final_answer": "-67", "answer_type": "integer", "kind": "expression", "math_text": "-6 - 61", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 61}", "seed": "11489000810918363747", "semantic_fingerprint": "sha256:ef778d64e219315bf262f2fc179513661ac63eff6aeca7752a3dfd4d26f4c115", "generator_version": "3.0"}
{"id": "v3_test_id_00005632", "prompt": "Calculate: -448 * (-70)", "solution_steps": ["Multiply: -448 * (-70) = 31360"], "final_answer": "31360", "answer_type": "integer", "kind": "expression", "math_text": "-448 * (-70)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -448, \"b\": -70}", "seed": "8567275349653694540", "semantic_fingerprint": "sha256:9ad539dd3c0cd87ec6fca172121c6291b9babd4e7abfac63b5660dffe72d9a13", "generator_version": "3.0"}
{"id": "v3_test_id_00005633", "prompt": "What is -649 - (-42 - 7)?", "solution_steps": ["Subtract: -42 - 7 = -49", "Subtract: -649 - (-49) = -600"], "final_answer": "-600", "answer_type": "integer", "kind": "expression", "math_text": "-649 - (-42 - 7)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -649, \"b\": -42, \"c\": 7}", "seed": "2273384490986953335", "semantic_fingerprint": "sha256:4bf1fa0b78b02710d46f46a6effe7d1364b33bd4cd053917ac6cf005cc457ce5", "generator_version": "3.0"}
{"id": "v3_test_id_00005634", "prompt": "Evaluate: 8 - (-864) * (-42)", "solution_steps": ["Multiply: -864 * (-42) = 36288", "Subtract: 8 - 36288 = -36280"], "final_answer": "-36280", "answer_type": "integer", "kind": "expression", "math_text": "8 - (-864) * (-42)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -864, \"c\": -42}", "seed": "14390974867058377725", "semantic_fingerprint": "sha256:aeaa18c199434b7fe360d94cc6e312fc21cc52200eba17fc2cb86ed640595fd0", "generator_version": "3.0"}
{"id": "v3_test_id_00005635", "prompt": "Evaluate: -9 * (-671 - 58)", "solution_steps": ["Subtract: -671 - 58 = -729", "Multiply: -9 * (-729) = 6561"], "final_answer": "6561", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (-671 - 58)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -671, \"c\": 58}", "seed": "4968874922556827013", "semantic_fingerprint": "sha256:f96389d29754bd10141c07d1822d70f31b9435a9f510fda6f3e5713a7c6c3f44", "generator_version": "3.0"}
{"id": "v3_test_id_00005636", "prompt": "Evaluate: 0 * 201 - 744 - (-3)", "solution_steps": ["Multiply: 0 * 201 = 0", "Subtract: 0 - 744 = -744", "Subtract: -744 - (-3) = -741"], "final_answer": "-741", "answer_type": "integer", "kind": "expression", "math_text": "0 * 201 - 744 - (-3)", "variable": null, "family": "expression_3op", "shape": "(- (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 201, \"c\": 744, \"d\": -3}", "seed": "495909425468257571", "semantic_fingerprint": "sha256:6c17c62e2a0aa4efd31b017cd44b5b93c324261fbb2043c51f8875a684bed565", "generator_version": "3.0"}
{"id": "v3_test_id_00005637", "prompt": "What value of x satisfies -8(x + 96) = x - 723?", "solution_steps": ["Expand: -8x - 768 = x - 723", "Subtract x from both sides: -9x - 768 = -723", "Add 768 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 + 96) = x - 723", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 96, \"d\": -723, \"x\": -5}", "seed": "4761566015224254150", "semantic_fingerprint": "sha256:2e13f71896397aa8a0d7615020a15065c8adca47d0031f53791714fc6b54b8bc", "generator_version": "3.0"}
{"id": "v3_test_id_00005638", "prompt": "Calculate: (-684 + 6) / 7", "solution_steps": ["Add: -684 + 6 = -678", "Divide: -678 / 7 = -678/7"], "final_answer": "-678/7", "answer_type": "rational", "kind": "expression", "math_text": "(-684 + 6) / 7", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -684, \"b\": 6, \"c\": 7}", "seed": "2777995513866993237", "semantic_fingerprint": "sha256:da7ec521fe8d02e08b878d0c5415b3300f79100b59a018902480d7ab2ea8cb40", "generator_version": "3.0"}
{"id": "v3_test_id_00005639", "prompt": "Evaluate: -597 * (-23 + 774) + (-6) * (-7)", "solution_steps": ["Add: -23 + 774 = 751", "Multiply: -597 * 751 = -448347", "Multiply: -6 * (-7) = 42", "Add: -448347 + 42 = -448305"], "final_answer": "-448305", "answer_type": "integer", "kind": "expression", "math_text": "-597 * (-23 + 774) + (-6) * (-7)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (+ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -597, \"b\": -23, \"c\": 774, \"d\": -6, \"e\": -7}", "seed": "934767369024226379", "semantic_fingerprint": "sha256:2350db74a8398c7337664acd67f19f9aa44e6829d4f841bc658f576fa56cb64a", "generator_version": "3.0"}
{"id": "v3_test_id_00005640", "prompt": "Solve for x: 11(x + 63) = 9(x + 2) + 653", "solution_steps": ["Expand: 11x + 693 = 9(x + 2) + 653", "Expand: 11x + 693 = 9x + 18 + 653", "Combine constants: 11x + 693 = 9x + 671", "Subtract 9x from both sides: 2x + 693 = 671", "Subtract 693 from both sides: 2x = -22", "Divide both sides by 2: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 63) = 9(x + 2) + 653", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 63, \"c\": 9, \"d\": 2, \"f\": 653, \"x\": -11}", "seed": "6643752708254866086", "semantic_fingerprint": "sha256:07510ca01b54a87b887044ffb1743c20b7f5b455cf18449407224882b058afa5", "generator_version": "3.0"}
{"id": "v3_test_id_00005641", "prompt": "Find x: 9(x - 64) = 5x + 887", "solution_steps": ["Expand: 9x - 576 = 5x + 887", "Subtract 5x from both sides: 4x - 576 = 887", "Add 576 to both sides: 4x = 1463", "Divide both sides by 4: x = 1463/4"], "final_answer": "1463/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x - 64) = 5x + 887", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 64, \"c\": 5, \"d\": 887}", "seed": "7354995568217082551", "semantic_fingerprint": "sha256:f1a01daf2a2e9a0024ae6e02ba4095c4df7a38b3ddd0f82bf3743062f85c9ddb", "generator_version": "3.0"}
{"id": "v3_test_id_00005642", "prompt": "Solve the equation x + 400 = -8(x - 41) for x.", "solution_steps": ["Expand: x + 400 = -8x + 328", "Add 8x to both sides: 9x + 400 = 328", "Subtract 400 from both sides: 9x = -72", "Divide both sides by 9: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 400 = -8(x - 41)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 41, \"d\": 400, \"x\": -8}", "seed": "5002971879869953990", "semantic_fingerprint": "sha256:e47abc2ea3f2b2fb90c9e5ea18c0fc85ac0fdfadbc5460ebdfbaf45e64b1982e", "generator_version": "3.0"}
{"id": "v3_test_id_00005643", "prompt": "Calculate: 4 + (-93 - 49) + (-5 + (5 + (-6)))", "solution_steps": ["Subtract: -93 - 49 = -142", "Add: 4 + (-142) = -138", "Add: 5 + (-6) = -1", "Add: -5 + (-1) = -6", "Add: -138 + (-6) = -144"], "final_answer": "-144", "answer_type": "integer", "kind": "expression", "math_text": "4 + (-93 - 49) + (-5 + (5 + (-6)))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (- n n)) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -93, \"c\": 49, \"d\": -5, \"e\": 5, \"f\": -6}", "seed": "4024444459315361093", "semantic_fingerprint": "sha256:2ab637dac843012677575bd1342d8ad6ff9e45a1744e6cc6ac0cc43d0f5aed77", "generator_version": "3.0"}
{"id": "v3_test_id_00005644", "prompt": "Calculate: -5 * 53", "solution_steps": ["Multiply: -5 * 53 = -265"], "final_answer": "-265", "answer_type": "integer", "kind": "expression", "math_text": "-5 * 53", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 53}", "seed": "7017448879079894807", "semantic_fingerprint": "sha256:1f32533b4dce5d88748e5ab50aa95234f86788fae9680ec1f962cc28084029b2", "generator_version": "3.0"}
{"id": "v3_test_id_00005645", "prompt": "What value of x satisfies 2x = 5(x - 6)?", "solution_steps": ["Expand: 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 - 6)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"c\": 6}", "seed": "18162424498963437629", "semantic_fingerprint": "sha256:133b0c233f28da0ab60a5a6ed294779dfe33ee82bd7d5d4672b3a62139181613", "generator_version": "3.0"}
{"id": "v3_test_id_00005646", "prompt": "Compute: 25 * (-174) - (28 + (-2 + 414))", "solution_steps": ["Multiply: 25 * (-174) = -4350", "Add: -2 + 414 = 412", "Add: 28 + 412 = 440", "Subtract: -4350 - 440 = -4790"], "final_answer": "-4790", "answer_type": "integer", "kind": "expression", "math_text": "25 * (-174) - (28 + (-2 + 414))", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": -174, \"c\": 28, \"d\": -2, \"e\": 414}", "seed": "7163210929000356824", "semantic_fingerprint": "sha256:704a302089b12f7042586db0cdfe96e69ee287e59332169ec53e0347f0a8b597", "generator_version": "3.0"}
{"id": "v3_test_id_00005647", "prompt": "Evaluate: 4 / (-192)", "solution_steps": ["Divide: 4 / (-192) = -1/48"], "final_answer": "-1/48", "answer_type": "rational", "kind": "expression", "math_text": "4 / (-192)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -192}", "seed": "10879243517345716252", "semantic_fingerprint": "sha256:61df0f42706531e98747cd15b1d14d20a4a47551e6ad51b849efc2b165787c9f", "generator_version": "3.0"}
{"id": "v3_test_id_00005648", "prompt": "Evaluate: 406 + (-106 - (-5))", "solution_steps": ["Subtract: -106 - (-5) = -101", "Add: 406 + (-101) = 305"], "final_answer": "305", "answer_type": "integer", "kind": "expression", "math_text": "406 + (-106 - (-5))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 406, \"b\": -106, \"c\": -5}", "seed": "2853469333510033511", "semantic_fingerprint": "sha256:f53c0d4f9f8fb0d0cb6f2320f0e963c3b4978687fca1ac58fb2d5cf94c2ef768", "generator_version": "3.0"}
{"id": "v3_test_id_00005649", "prompt": "Compute: 7 * ((-335 - 4) / (2 - (-71)))", "solution_steps": ["Subtract: -335 - 4 = -339", "Subtract: 2 - (-71) = 73", "Divide: -339 / 73 = -339/73", "Multiply: 7 * (-339/73) = -2373/73"], "final_answer": "-2373/73", "answer_type": "rational", "kind": "expression", "math_text": "7 * ((-335 - 4) / (2 - (-71)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (- n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -335, \"c\": 4, \"d\": 2, \"e\": -71}", "seed": "1613885041533465617", "semantic_fingerprint": "sha256:d100d17e46886c020db492e1e3aebfedc43fe92d832182cbf04c06abc2ab85ce", "generator_version": "3.0"}
{"id": "v3_test_id_00005650", "prompt": "Calculate: 0 + (-691 - 0)", "solution_steps": ["Subtract: -691 - 0 = -691", "Add: 0 + (-691) = -691"], "final_answer": "-691", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-691 - 0)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -691, \"c\": 0}", "seed": "9559692516278936094", "semantic_fingerprint": "sha256:0cefb01ad308f6d87217b87583fed39873261b644fb1dd54da3c1e3fbe24d204", "generator_version": "3.0"}
{"id": "v3_test_id_00005651", "prompt": "What is 81 / (-446)?", "solution_steps": ["Divide: 81 / (-446) = -81/446"], "final_answer": "-81/446", "answer_type": "rational", "kind": "expression", "math_text": "81 / (-446)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": -446}", "seed": "15956607274761487434", "semantic_fingerprint": "sha256:e20196dce8879e7922b96d8f14456f4462d5ece2df8ea2a3ce19ce93f6030c3a", "generator_version": "3.0"}
{"id": "v3_test_id_00005652", "prompt": "Evaluate: 5 * 112 + 24", "solution_steps": ["Multiply: 5 * 112 = 560", "Add: 560 + 24 = 584"], "final_answer": "584", "answer_type": "integer", "kind": "expression", "math_text": "5 * 112 + 24", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 112, \"c\": 24}", "seed": "262318972884169624", "semantic_fingerprint": "sha256:89c2afd07b6c97dfd9c69ca7588859b0ffee6ff8f96216c52c2d9598a2856900", "generator_version": "3.0"}
{"id": "v3_test_id_00005653", "prompt": "What is 0 / (-52 - (-76) / (-994 / (-8)))?", "solution_steps": ["Divide: -994 / (-8) = 497/4", "Divide: -76 / (497/4) = -304/497", "Subtract: -52 - (-304/497) = -25540/497", "Divide: 0 / (-25540/497) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-52 - (-76) / (-994 / (-8)))", "variable": null, "family": "expression_4op", "shape": "(/ n (- n (/ n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -52, \"c\": -76, \"d\": -994, \"e\": -8}", "seed": "9777602464832021974", "semantic_fingerprint": "sha256:600c6ca8bf7bed68c75f5398fa019a7b418cef79eb40f0609c5ad91db6da4a0c", "generator_version": "3.0"}
{"id": "v3_test_id_00005654", "prompt": "Solve for x: x = 5(x - 56)", "solution_steps": ["Expand: x = 5x - 280", "Subtract 5x from both sides: -4x = -280", "Divide both sides by -4: x = 70"], "final_answer": "70", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 5(x - 56)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 56}", "seed": "16367056453273385973", "semantic_fingerprint": "sha256:937353bbf9c4eff90fc0f899bed58fdf4632166642e29c229c73e0b2f6b0fd8c", "generator_version": "3.0"}
{"id": "v3_test_id_00005655", "prompt": "Compute: 75 * (94 - (-38 - 75))", "solution_steps": ["Subtract: -38 - 75 = -113", "Subtract: 94 - (-113) = 207", "Multiply: 75 * 207 = 15525"], "final_answer": "15525", "answer_type": "integer", "kind": "expression", "math_text": "75 * (94 - (-38 - 75))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 94, \"c\": -38, \"d\": 75}", "seed": "8553063362705007184", "semantic_fingerprint": "sha256:7274dae4c4bce31bf9b4759035dbc95d1b93d4432c63e1bfc8f2d1c387c5e657", "generator_version": "3.0"}
{"id": "v3_test_id_00005656", "prompt": "Evaluate: -3 / (-71 / (106 - 73))", "solution_steps": ["Subtract: 106 - 73 = 33", "Divide: -71 / 33 = -71/33", "Divide: -3 / (-71/33) = 99/71"], "final_answer": "99/71", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-71 / (106 - 73))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -71, \"c\": 106, \"d\": 73}", "seed": "4156605101876446887", "semantic_fingerprint": "sha256:02bffe3c822e7f51b110ed67d1200f3068e650c2a300328ae0d18e654e054c9b", "generator_version": "3.0"}
{"id": "v3_test_id_00005657", "prompt": "Find x: x + 12 = -6(x - 23) - 77", "solution_steps": ["Expand: x + 12 = -6x + 138 - 77", "Combine constants: x + 12 = -6x + 61", "Add 6x to both sides: 7x + 12 = 61", "Subtract 12 from both sides: 7x = 49", "Divide both sides by 7: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 12 = -6(x - 23) - 77", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -6, \"c\": 23, \"d\": 77}", "seed": "13801747026489714244", "semantic_fingerprint": "sha256:dd8d1ac223bdfc6b907011cd1718615eea52fc534e8cfa01be096363c8cdcbae", "generator_version": "3.0"}
{"id": "v3_test_id_00005658", "prompt": "Compute: 0 * (-96)", "solution_steps": ["Multiply: 0 * (-96) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-96)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -96}", "seed": "3311912309818241604", "semantic_fingerprint": "sha256:07590b40ea0777a4bcb663e1bd4976c2a347309aedd212259a7ab527d754cc27", "generator_version": "3.0"}
{"id": "v3_test_id_00005659", "prompt": "Evaluate: -585 / 37 * 48 * (-3 - 5)", "solution_steps": ["Divide: -585 / 37 = -585/37", "Multiply: (-585/37) * 48 = -28080/37", "Subtract: -3 - 5 = -8", "Multiply: (-28080/37) * (-8) = 224640/37"], "final_answer": "224640/37", "answer_type": "rational", "kind": "expression", "math_text": "-585 / 37 * 48 * (-3 - 5)", "variable": null, "family": "expression_4op", "shape": "(* (* (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -585, \"b\": 37, \"c\": 48, \"d\": -3, \"e\": 5}", "seed": "16861226396367594449", "semantic_fingerprint": "sha256:be3618a511515eed2efa6b878e43dc2cb0cd9d856e54645c74f7084908b25ee4", "generator_version": "3.0"}
{"id": "v3_test_id_00005660", "prompt": "Compute: 4 - 750", "solution_steps": ["Subtract: 4 - 750 = -746"], "final_answer": "-746", "answer_type": "integer", "kind": "expression", "math_text": "4 - 750", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 750}", "seed": "5208467866090899388", "semantic_fingerprint": "sha256:4f0351456b86c4d7acb8ac3aad15fba5493b0fc987fa1cf4ccca01556563865d", "generator_version": "3.0"}
{"id": "v3_test_id_00005661", "prompt": "What value of x satisfies -11(x - 61) = -2x + 9?", "solution_steps": ["Expand: -11x + 671 = -2x + 9", "Add 2x to both sides: -9x + 671 = 9", "Subtract 671 from both sides: -9x = -662", "Divide both sides by -9: x = 662/9"], "final_answer": "662/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 61) = -2x + 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 61, \"c\": -2, \"d\": 9}", "seed": "11276277933404471221", "semantic_fingerprint": "sha256:07c42f1743f7ddd4e5a15f468650794afbc0c5daeb3c485887c9e272746e2c5a", "generator_version": "3.0"}
{"id": "v3_test_id_00005662", "prompt": "Evaluate: 20 * (19 - (-7) * (-5))", "solution_steps": ["Multiply: -7 * (-5) = 35", "Subtract: 19 - 35 = -16", "Multiply: 20 * (-16) = -320"], "final_answer": "-320", "answer_type": "integer", "kind": "expression", "math_text": "20 * (19 - (-7) * (-5))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 20, \"b\": 19, \"c\": -7, \"d\": -5}", "seed": "7639507915395345593", "semantic_fingerprint": "sha256:0363ab1d9444213c0d03fc497dc0b7750c4bf8f4d9be145555460b75386361dc", "generator_version": "3.0"}
{"id": "v3_test_id_00005663", "prompt": "What is -38 * (-88)?", "solution_steps": ["Multiply: -38 * (-88) = 3344"], "final_answer": "3344", "answer_type": "integer", "kind": "expression", "math_text": "-38 * (-88)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": -88}", "seed": "11197132485405582682", "semantic_fingerprint": "sha256:0fa5c9c9ac50d1bcba470f4d3705d08e6f8f8b358990632b503c7df0b1887fe4", "generator_version": "3.0"}
{"id": "v3_test_id_00005664", "prompt": "Calculate: 935 + (-13) + 2", "solution_steps": ["Add: 935 + (-13) = 922", "Add: 922 + 2 = 924"], "final_answer": "924", "answer_type": "integer", "kind": "expression", "math_text": "935 + (-13) + 2", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 935, \"b\": -13, \"c\": 2}", "seed": "6618012779853796456", "semantic_fingerprint": "sha256:308769e51c66ad89707c46068c2ea9971906b95a26021f03c31d88768834fa7c", "generator_version": "3.0"}
{"id": "v3_test_id_00005665", "prompt": "Compute: 2 - (-25) * 1", "solution_steps": ["Multiply: -25 * 1 = -25", "Subtract: 2 - (-25) = 27"], "final_answer": "27", "answer_type": "integer", "kind": "expression", "math_text": "2 - (-25) * 1", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -25, \"c\": 1}", "seed": "15366270189370967068", "semantic_fingerprint": "sha256:211373213898a83079d06fff4747cf3f81aa3e627e40894f8b66a948765489c5", "generator_version": "3.0"}
{"id": "v3_test_id_00005666", "prompt": "What is -54 - 6 - (-38) - 2 * (-5)?", "solution_steps": ["Subtract: -54 - 6 = -60", "Subtract: -60 - (-38) = -22", "Multiply: 2 * (-5) = -10", "Subtract: -22 - (-10) = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "expression", "math_text": "-54 - 6 - (-38) - 2 * (-5)", "variable": null, "family": "expression_4op", "shape": "(- (- (- n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": 6, \"c\": -38, \"d\": 2, \"e\": -5}", "seed": "16270541835449790597", "semantic_fingerprint": "sha256:8cda338d7b30eebe37064dd7cb78c0da5fe09d78aee13110fec0c66399885f15", "generator_version": "3.0"}
{"id": "v3_test_id_00005667", "prompt": "What value of x satisfies 11(x - 9) + 77 = 9(x - 81) + 745?", "solution_steps": ["Expand: 11x - 99 + 77 = 9(x - 81) + 745", "Expand: 11x - 99 + 77 = 9x - 729 + 745", "Combine constants: 11x - 22 = 9x - 729 + 745", "Combine constants: 11x - 22 = 9x + 16", "Subtract 9x from both sides: 2x - 22 = 16", "Add 22 to both sides: 2x = 38", "Divide both sides by 2: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 9) + 77 = 9(x - 81) + 745", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 9, \"c\": 77, \"d\": 9, \"e\": 81, \"g\": 745, \"x\": 19}", "seed": "10017287444200227531", "semantic_fingerprint": "sha256:e4a0b519b234a95a73b7d77e5972fa7f85cedf1b931f682eaedcfab52ed53c67", "generator_version": "3.0"}
{"id": "v3_test_id_00005668", "prompt": "Evaluate: 9 + 640", "solution_steps": ["Add: 9 + 640 = 649"], "final_answer": "649", "answer_type": "integer", "kind": "expression", "math_text": "9 + 640", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 640}", "seed": "15248819580948681067", "semantic_fingerprint": "sha256:b70393714becb0a8217102d6b4f2e13efd8dba990f0ab0c9d95e1a2435663471", "generator_version": "3.0"}
{"id": "v3_test_id_00005669", "prompt": "Evaluate: -3 / (-8) + (-5) * (-426) * 9", "solution_steps": ["Divide: -3 / (-8) = 3/8", "Multiply: -5 * (-426) = 2130", "Multiply: 2130 * 9 = 19170", "Add: 3/8 + 19170 = 153363/8"], "final_answer": "153363/8", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (-8) + (-5) * (-426) * 9", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (* (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -8, \"c\": -5, \"d\": -426, \"e\": 9}", "seed": "5122807196076245305", "semantic_fingerprint": "sha256:fb42459e488974e26c5c86451f632cdbe26b8546d81262dbd0bba6f591ab38ce", "generator_version": "3.0"}
{"id": "v3_test_id_00005670", "prompt": "What value of x satisfies 6(x + 71) + 540 = 12(x + 78)?", "solution_steps": ["Expand: 6x + 426 + 540 = 12(x + 78)", "Expand: 6x + 426 + 540 = 12x + 936", "Combine constants: 6x + 966 = 12x + 936", "Subtract 12x from both sides: -6x + 966 = 936", "Subtract 966 from both sides: -6x = -30", "Divide both sides by -6: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 71) + 540 = 12(x + 78)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 71, \"c\": 12, \"d\": 78, \"f\": 540, \"x\": 5}", "seed": "13861847703767788633", "semantic_fingerprint": "sha256:0ba69edb7b4090ef3bc8eb0750b8b8b41eb3552ad5c4c42dadb1de6717c52645", "generator_version": "3.0"}
{"id": "v3_test_id_00005671", "prompt": "Find x: x + 7 = 10(x - 6) + 103", "solution_steps": ["Expand: x + 7 = 10x - 60 + 103", "Combine constants: x + 7 = 10x + 43", "Subtract 10x from both sides: -9x + 7 = 43", "Subtract 7 from both sides: -9x = 36", "Divide both sides by -9: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 7 = 10(x - 6) + 103", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 10, \"c\": 6, \"e\": 103, \"x\": -4}", "seed": "1404005180624751640", "semantic_fingerprint": "sha256:1253cc6e8d18a41624c46030272fd58d0f3785da61aee991cc66a6063f2d483a", "generator_version": "3.0"}
{"id": "v3_test_id_00005672", "prompt": "Evaluate: 69 * (-3)", "solution_steps": ["Multiply: 69 * (-3) = -207"], "final_answer": "-207", "answer_type": "integer", "kind": "expression", "math_text": "69 * (-3)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": -3}", "seed": "15817875958268657472", "semantic_fingerprint": "sha256:baaa6d6502bbcd6cda39c7f0d3916b7b7e73ab3777eee09ffaf1d4832a7e66c7", "generator_version": "3.0"}
{"id": "v3_test_id_00005673", "prompt": "Solve for x: x + 87 = 5x + 59", "solution_steps": ["Subtract 5x from both sides: -4x + 87 = 59", "Subtract 87 from both sides: -4x = -28", "Divide both sides by -4: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 87 = 5x + 59", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 87, \"b\": 5, \"d\": 59, \"x\": 7}", "seed": "2485834213048883652", "semantic_fingerprint": "sha256:aeeeca524b86cfb2277d6e84ea6bb390464ba31f0909758fb04796ee07ff542e", "generator_version": "3.0"}
{"id": "v3_test_id_00005674", "prompt": "Evaluate: -53 * 8", "solution_steps": ["Multiply: -53 * 8 = -424"], "final_answer": "-424", "answer_type": "integer", "kind": "expression", "math_text": "-53 * 8", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": 8}", "seed": "12732687039574085616", "semantic_fingerprint": "sha256:0f8a7a69d8cbec9bc08d1aee83907582e835a49df66cae867f4e9c98ccb64ee9", "generator_version": "3.0"}
{"id": "v3_test_id_00005675", "prompt": "Solve the equation 2(x - 168) + 59 = x - 275 for x.", "solution_steps": ["Expand: 2x - 336 + 59 = x - 275", "Combine constants: 2x - 277 = x - 275", "Subtract x from both sides: x - 277 = -275", "Add 277 to both sides: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 168) + 59 = x - 275", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 168, \"c\": 59, \"e\": -275, \"x\": 2}", "seed": "17943692188148469602", "semantic_fingerprint": "sha256:bf6d1f11d5f048df8e240a12978a26503337496ff64762c9f14f76d08d58ea3a", "generator_version": "3.0"}
{"id": "v3_test_id_00005676", "prompt": "Solve for x: 5x = -6(x + 3)", "solution_steps": ["Expand: 5x = -6x - 18", "Add 6x to both sides: 11x = -18", "Divide both sides by 11: x = -18/11"], "final_answer": "-18/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x = -6(x + 3)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -6, \"c\": 3}", "seed": "16953436380641971930", "semantic_fingerprint": "sha256:d98d5c872947210ec5e9862a11e6e5e5d33fbfa26dc949332608a028647b2126", "generator_version": "3.0"}
{"id": "v3_test_id_00005677", "prompt": "What is (-3 + 2) * (0 / (-143)) + (711 + (-7))?", "solution_steps": ["Add: -3 + 2 = -1", "Divide: 0 / (-143) = 0", "Multiply: -1 * 0 = 0", "Add: 711 + (-7) = 704", "Add: 0 + 704 = 704"], "final_answer": "704", "answer_type": "integer", "kind": "expression", "math_text": "(-3 + 2) * (0 / (-143)) + (711 + (-7))", "variable": null, "family": "expression_5op", "shape": "(+ (* (+ n n) (/ n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 2, \"c\": 0, \"d\": -143, \"e\": 711, \"f\": -7}", "seed": "14886644511341355280", "semantic_fingerprint": "sha256:c9a7ba340096fdd7fae92bfb0de09abbb16521ac899447766a4dc6a3d3b91e96", "generator_version": "3.0"}
{"id": "v3_test_id_00005678", "prompt": "What is -72 - (-95 + 3 + 922)?", "solution_steps": ["Add: -95 + 3 = -92", "Add: -92 + 922 = 830", "Subtract: -72 - 830 = -902"], "final_answer": "-902", "answer_type": "integer", "kind": "expression", "math_text": "-72 - (-95 + 3 + 922)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": -95, \"c\": 3, \"d\": 922}", "seed": "7296673018975836225", "semantic_fingerprint": "sha256:0a2b4f25f5b3ac96715103cede83f7744699caef37bd209e628f7f00bad28da5", "generator_version": "3.0"}
{"id": "v3_test_id_00005679", "prompt": "Solve for x: 3x = 10x", "solution_steps": ["Subtract 10x from both sides: -7x = 0", "Divide both sides by -7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 10x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 10}", "seed": "13508828797594194174", "semantic_fingerprint": "sha256:5e8926584a7614fd39bcc081fa362258e6d536e90b0ebff18118362ad67ff978", "generator_version": "3.0"}
{"id": "v3_test_id_00005680", "prompt": "Compute: 393 - 32 - 0 / (-1)", "solution_steps": ["Subtract: 393 - 32 = 361", "Divide: 0 / (-1) = 0", "Subtract: 361 - 0 = 361"], "final_answer": "361", "answer_type": "integer", "kind": "expression", "math_text": "393 - 32 - 0 / (-1)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 393, \"b\": 32, \"c\": 0, \"d\": -1}", "seed": "3414258729997008056", "semantic_fingerprint": "sha256:98d3bff863e396c93cdfcc86332516108e57c2f67aac05f347f0af240ff3e426", "generator_version": "3.0"}
{"id": "v3_test_id_00005681", "prompt": "Compute: 6 + (-235) - (-905 * 38 + 41)", "solution_steps": ["Add: 6 + (-235) = -229", "Multiply: -905 * 38 = -34390", "Add: -34390 + 41 = -34349", "Subtract: -229 - (-34349) = 34120"], "final_answer": "34120", "answer_type": "integer", "kind": "expression", "math_text": "6 + (-235) - (-905 * 38 + 41)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -235, \"c\": -905, \"d\": 38, \"e\": 41}", "seed": "11424481709713912867", "semantic_fingerprint": "sha256:5a64e4b3100e669a32740b8dfa509cdf80f456338cc8a1d4997a400fe4e61c0d", "generator_version": "3.0"}
{"id": "v3_test_id_00005682", "prompt": "Find x: 12(x - 68) - 57 = -10(x + 64) + 638", "solution_steps": ["Expand: 12x - 816 - 57 = -10(x + 64) + 638", "Expand: 12x - 816 - 57 = -10x - 640 + 638", "Combine constants: 12x - 873 = -10x - 640 + 638", "Combine constants: 12x - 873 = -10x - 2", "Add 10x to both sides: 22x - 873 = -2", "Add 873 to both sides: 22x = 871", "Divide both sides by 22: x = 871/22"], "final_answer": "871/22", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 68) - 57 = -10(x + 64) + 638", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 68, \"c\": 57, \"d\": -10, \"e\": 64, \"f\": 638}", "seed": "15635302247641423830", "semantic_fingerprint": "sha256:97475a994cd3f03e3cace49b3db50817579352abb476729c3df6792675def4a5", "generator_version": "3.0"}
{"id": "v3_test_id_00005683", "prompt": "Solve the equation -12x + 1 = -5x + 1 for x.", "solution_steps": ["Add 5x to both sides: -7x + 1 = 1", "Subtract 1 from both sides: -7x = 0", "Divide both sides by -7: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x + 1 = -5x + 1", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 1, \"c\": -5, \"e\": 1, \"x\": 0}", "seed": "5659232748182675004", "semantic_fingerprint": "sha256:405f9a559235731fd828932eeec73f031cd4a0a8e485076d2987c709979edf67", "generator_version": "3.0"}
{"id": "v3_test_id_00005684", "prompt": "What value of x satisfies 4x + 5 = x?", "solution_steps": ["Subtract x from both sides: 3x + 5 = 0", "Subtract 5 from both sides: 3x = -5", "Divide both sides by 3: x = -5/3"], "final_answer": "-5/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x + 5 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5}", "seed": "10506929058349744001", "semantic_fingerprint": "sha256:f477107ff08e06f694137f15af89553e42ddd7e1e560bd1a266723bee39f5b1f", "generator_version": "3.0"}
{"id": "v3_test_id_00005685", "prompt": "Evaluate: (-49 + (447 + (-4))) / (94 - 4)", "solution_steps": ["Add: 447 + (-4) = 443", "Add: -49 + 443 = 394", "Subtract: 94 - 4 = 90", "Divide: 394 / 90 = 197/45"], "final_answer": "197/45", "answer_type": "rational", "kind": "expression", "math_text": "(-49 + (447 + (-4))) / (94 - 4)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (+ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": 447, \"c\": -4, \"d\": 94, \"e\": 4}", "seed": "15511027923534511558", "semantic_fingerprint": "sha256:19267d2b52be0a285a1da980f591b378874107e6de3bc0e45b26facb54c81c67", "generator_version": "3.0"}
{"id": "v3_test_id_00005686", "prompt": "Evaluate: 0 - (-9) / (-5 - 44)", "solution_steps": ["Subtract: -5 - 44 = -49", "Divide: -9 / (-49) = 9/49", "Subtract: 0 - 9/49 = -9/49"], "final_answer": "-9/49", "answer_type": "rational", "kind": "expression", "math_text": "0 - (-9) / (-5 - 44)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -9, \"c\": -5, \"d\": 44}", "seed": "7319069385783209996", "semantic_fingerprint": "sha256:d4b31378a4d3d39b652082489c86464c5ad8e28d0e03e448f6f07fa3e6d82de1", "generator_version": "3.0"}
{"id": "v3_test_id_00005687", "prompt": "Evaluate: 5 / (-336 + 147) + 5", "solution_steps": ["Add: -336 + 147 = -189", "Divide: 5 / (-189) = -5/189", "Add: -5/189 + 5 = 940/189"], "final_answer": "940/189", "answer_type": "rational", "kind": "expression", "math_text": "5 / (-336 + 147) + 5", "variable": null, "family": "expression_3op", "shape": "(+ (/ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -336, \"c\": 147, \"d\": 5}", "seed": "3278050690928244999", "semantic_fingerprint": "sha256:1eb80fe90634e61b143d6f69c2f2706d11d51fd05294ad8908d992f66e71223d", "generator_version": "3.0"}
{"id": "v3_test_id_00005688", "prompt": "What is -9 * (-316)?", "solution_steps": ["Multiply: -9 * (-316) = 2844"], "final_answer": "2844", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (-316)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -316}", "seed": "17432502994296260730", "semantic_fingerprint": "sha256:5d6897f2c0e39d482556bac9ada8a407e7b6cb2dfbc4a4d195cabd7e0c5505b6", "generator_version": "3.0"}
{"id": "v3_test_id_00005689", "prompt": "Solve the equation -4(x - 92) - 70 = 7x + 408 for x.", "solution_steps": ["Expand: -4x + 368 - 70 = 7x + 408", "Combine constants: -4x + 298 = 7x + 408", "Subtract 7x from both sides: -11x + 298 = 408", "Subtract 298 from both sides: -11x = 110", "Divide both sides by -11: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 92) - 70 = 7x + 408", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 92, \"c\": 70, \"d\": 7, \"f\": 408, \"x\": -10}", "seed": "7513222976258430129", "semantic_fingerprint": "sha256:347f2ba8e07817b352c5bf4b6f41e75dbcd1515d2584a646e3316eb5ccc1c9c0", "generator_version": "3.0"}
{"id": "v3_test_id_00005690", "prompt": "Calculate: 0 - (-73) / (9 - (-64))", "solution_steps": ["Subtract: 9 - (-64) = 73", "Divide: -73 / 73 = -1", "Subtract: 0 - (-1) = 1"], "final_answer": "1", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-73) / (9 - (-64))", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -73, \"c\": 9, \"d\": -64}", "seed": "18043405615394321137", "semantic_fingerprint": "sha256:281bfee71d753a6074db8c8551aeb7d871ab9324e4b4659ad94ddf634f30cf7d", "generator_version": "3.0"}
{"id": "v3_test_id_00005691", "prompt": "What is 2 + 2 - (-759 - (51 + 232)) + 22?", "solution_steps": ["Add: 2 + 2 = 4", "Add: 51 + 232 = 283", "Subtract: -759 - 283 = -1042", "Subtract: 4 - (-1042) = 1046", "Add: 1046 + 22 = 1068"], "final_answer": "1068", "answer_type": "integer", "kind": "expression", "math_text": "2 + 2 - (-759 - (51 + 232)) + 22", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ n n) (- n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"c\": -759, \"d\": 51, \"e\": 232, \"f\": 22}", "seed": "15801902650620900647", "semantic_fingerprint": "sha256:b1eab2407180cb08384e3eda1400a0698c2f3a23a856866c9ec84dbf7dcaeffc", "generator_version": "3.0"}
{"id": "v3_test_id_00005692", "prompt": "Find x: -7(x - 46) = x + 402", "solution_steps": ["Expand: -7x + 322 = x + 402", "Subtract x from both sides: -8x + 322 = 402", "Subtract 322 from both sides: -8x = 80", "Divide both sides by -8: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 46) = x + 402", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 46, \"d\": 402, \"x\": -10}", "seed": "1939195745447293578", "semantic_fingerprint": "sha256:7e130065beda775df5221c72c6c27f066971f21bfee28c3797f1eec3e3c8889d", "generator_version": "3.0"}
{"id": "v3_test_id_00005693", "prompt": "Calculate: 81 + (-8)", "solution_steps": ["Add: 81 + (-8) = 73"], "final_answer": "73", "answer_type": "integer", "kind": "expression", "math_text": "81 + (-8)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": -8}", "seed": "400288478776551921", "semantic_fingerprint": "sha256:cfac17a277f80a9815e9a0b82d8b8f82fb49b4973888681056b9d8d435c87f3b", "generator_version": "3.0"}
{"id": "v3_test_id_00005694", "prompt": "Evaluate: -2 * (-528)", "solution_steps": ["Multiply: -2 * (-528) = 1056"], "final_answer": "1056", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (-528)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -528}", "seed": "18075427980288200945", "semantic_fingerprint": "sha256:080ba2f652d918e5158654d3e1a90cc2fa73627b8dbe8d3a3fe168363c1a6b72", "generator_version": "3.0"}
{"id": "v3_test_id_00005695", "prompt": "Compute: -3 / 92", "solution_steps": ["Divide: -3 / 92 = -3/92"], "final_answer": "-3/92", "answer_type": "rational", "kind": "expression", "math_text": "-3 / 92", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 92}", "seed": "3621453268482507530", "semantic_fingerprint": "sha256:07685dc52134998f66943cb23dae2e95e6bc33c89f04dc29f214c79102d5ea27", "generator_version": "3.0"}
{"id": "v3_test_id_00005696", "prompt": "Calculate: -6 * (-7)", "solution_steps": ["Multiply: -6 * (-7) = 42"], "final_answer": "42", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-7)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -7}", "seed": "783649539130895202", "semantic_fingerprint": "sha256:5e4e3a463a04fd87df69bef0dd67dbbbcbf52459baf03e760d0382dac3c88c65", "generator_version": "3.0"}
{"id": "v3_test_id_00005697", "prompt": "Evaluate: -594 - (2 - (-34)) - (-96)", "solution_steps": ["Subtract: 2 - (-34) = 36", "Subtract: -594 - 36 = -630", "Subtract: -630 - (-96) = -534"], "final_answer": "-534", "answer_type": "integer", "kind": "expression", "math_text": "-594 - (2 - (-34)) - (-96)", "variable": null, "family": "expression_3op", "shape": "(- (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -594, \"b\": 2, \"c\": -34, \"d\": -96}", "seed": "11839064708613567699", "semantic_fingerprint": "sha256:fa643e725580c05a05b2896c4549ca0aabd8b3d420b95fc219f59b64eb75e012", "generator_version": "3.0"}
{"id": "v3_test_id_00005698", "prompt": "Evaluate: -7 - 19 / (-55)", "solution_steps": ["Divide: 19 / (-55) = -19/55", "Subtract: -7 - (-19/55) = -366/55"], "final_answer": "-366/55", "answer_type": "rational", "kind": "expression", "math_text": "-7 - 19 / (-55)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 19, \"c\": -55}", "seed": "8076763806312719172", "semantic_fingerprint": "sha256:b795598872909956deb599efa2aa344b2667bc58b51fb66fa8d3dad112e5a3b3", "generator_version": "3.0"}
{"id": "v3_test_id_00005699", "prompt": "Calculate: (-6 / (-335) + 7) * (-91 / 8)", "solution_steps": ["Divide: -6 / (-335) = 6/335", "Add: 6/335 + 7 = 2351/335", "Divide: -91 / 8 = -91/8", "Multiply: (2351/335) * (-91/8) = -213941/2680"], "final_answer": "-213941/2680", "answer_type": "rational", "kind": "expression", "math_text": "(-6 / (-335) + 7) * (-91 / 8)", "variable": null, "family": "expression_4op", "shape": "(* (+ (/ n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -335, \"c\": 7, \"d\": -91, \"e\": 8}", "seed": "4964182267256939629", "semantic_fingerprint": "sha256:f52d2a9ca1aaba6907e10d52df12fea3af82351ec69d7464a26caddf15440cc7", "generator_version": "3.0"}
{"id": "v3_test_id_00005700", "prompt": "Calculate: (13 + (-13)) * (38 + 507)", "solution_steps": ["Add: 13 + (-13) = 0", "Add: 38 + 507 = 545", "Multiply: 0 * 545 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(13 + (-13)) * (38 + 507)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 13, \"b\": -13, \"c\": 38, \"d\": 507}", "seed": "14608575504883641904", "semantic_fingerprint": "sha256:9e75d74f5362717686b8403f49dc1e09dac8e66e959241f86f4c040a30343d70", "generator_version": "3.0"}
{"id": "v3_test_id_00005701", "prompt": "Calculate: -74 / (42 / 8 * (-24))", "solution_steps": ["Divide: 42 / 8 = 21/4", "Multiply: (21/4) * (-24) = -126", "Divide: -74 / (-126) = 37/63"], "final_answer": "37/63", "answer_type": "rational", "kind": "expression", "math_text": "-74 / (42 / 8 * (-24))", "variable": null, "family": "expression_3op", "shape": "(/ n (* (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -74, \"b\": 42, \"c\": 8, \"d\": -24}", "seed": "634466061192316271", "semantic_fingerprint": "sha256:1ca6202fa6a978541774d272c1b56fb1b6987c39d838ef99cffc80baf523cc50", "generator_version": "3.0"}
{"id": "v3_test_id_00005702", "prompt": "Compute: -67 / (-85 / (-41))", "solution_steps": ["Divide: -85 / (-41) = 85/41", "Divide: -67 / (85/41) = -2747/85"], "final_answer": "-2747/85", "answer_type": "rational", "kind": "expression", "math_text": "-67 / (-85 / (-41))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": -85, \"c\": -41}", "seed": "13110062659205016946", "semantic_fingerprint": "sha256:cbc01d3d8ec0e02e7295bb8a9e6e377c2669412eccd92b53355a9934546e2ea7", "generator_version": "3.0"}
{"id": "v3_test_id_00005703", "prompt": "Compute: 8 / (-5) * (-3) - 597 + 385", "solution_steps": ["Divide: 8 / (-5) = -8/5", "Multiply: (-8/5) * (-3) = 24/5", "Subtract: 24/5 - 597 = -2961/5", "Add: -2961/5 + 385 = -1036/5"], "final_answer": "-1036/5", "answer_type": "rational", "kind": "expression", "math_text": "8 / (-5) * (-3) - 597 + 385", "variable": null, "family": "expression_4op", "shape": "(+ (- (* (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -5, \"c\": -3, \"d\": 597, \"e\": 385}", "seed": "16527843330244197233", "semantic_fingerprint": "sha256:5431f479677a5179f6d37e44eeee44248395902be33d83fb79129fc950b74a2e", "generator_version": "3.0"}
{"id": "v3_test_id_00005704", "prompt": "Compute: 5 * (-46 / 79) - 59 / 1", "solution_steps": ["Divide: -46 / 79 = -46/79", "Multiply: 5 * (-46/79) = -230/79", "Divide: 59 / 1 = 59", "Subtract: -230/79 - 59 = -4891/79"], "final_answer": "-4891/79", "answer_type": "rational", "kind": "expression", "math_text": "5 * (-46 / 79) - 59 / 1", "variable": null, "family": "expression_4op", "shape": "(- (* n (/ n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -46, \"c\": 79, \"d\": 59, \"e\": 1}", "seed": "9076955196691242158", "semantic_fingerprint": "sha256:1b1cf8f2fa1654fa1402e6bb9a53916233da0920a919f43f154227c4c406f773", "generator_version": "3.0"}
{"id": "v3_test_id_00005705", "prompt": "Solve the equation 10(x - 80) + 9 = x for x.", "solution_steps": ["Expand: 10x - 800 + 9 = x", "Combine constants: 10x - 791 = x", "Subtract x from both sides: 9x - 791 = 0", "Add 791 to both sides: 9x = 791", "Divide both sides by 9: x = 791/9"], "final_answer": "791/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 80) + 9 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 80, \"c\": 9}", "seed": "13025364116641203519", "semantic_fingerprint": "sha256:0a92dc3c321575af38b3f319ab066899b9af392c71d222dbe686c79667099bc6", "generator_version": "3.0"}
{"id": "v3_test_id_00005706", "prompt": "Find x: 12(x + 49) - 6 = -7x + 259", "solution_steps": ["Expand: 12x + 588 - 6 = -7x + 259", "Combine constants: 12x + 582 = -7x + 259", "Add 7x to both sides: 19x + 582 = 259", "Subtract 582 from both sides: 19x = -323", "Divide both sides by 19: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 49) - 6 = -7x + 259", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 49, \"c\": 6, \"d\": -7, \"f\": 259, \"x\": -17}", "seed": "11080382659636024423", "semantic_fingerprint": "sha256:ecdbc53c9bd85f2a28c2da0bf42d9066eb9892d46ab406f13032db2fe38baa5b", "generator_version": "3.0"}
{"id": "v3_test_id_00005707", "prompt": "Evaluate: -33 * 2", "solution_steps": ["Multiply: -33 * 2 = -66"], "final_answer": "-66", "answer_type": "integer", "kind": "expression", "math_text": "-33 * 2", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": 2}", "seed": "7077146000229364905", "semantic_fingerprint": "sha256:709b5452986d8500db04a3121b79656c69db28a1dc5556edef55918601c3e461", "generator_version": "3.0"}
{"id": "v3_test_id_00005708", "prompt": "Compute: 2 / (-74)", "solution_steps": ["Divide: 2 / (-74) = -1/37"], "final_answer": "-1/37", "answer_type": "rational", "kind": "expression", "math_text": "2 / (-74)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -74}", "seed": "8834562916427985634", "semantic_fingerprint": "sha256:473bbc2698ff32d539724113dc0844534ecf9dfbd2742fd556f39577a50dcf29", "generator_version": "3.0"}
{"id": "v3_test_id_00005709", "prompt": "Calculate: (-3 + (-54)) * (88 - (-8))", "solution_steps": ["Add: -3 + (-54) = -57", "Subtract: 88 - (-8) = 96", "Multiply: -57 * 96 = -5472"], "final_answer": "-5472", "answer_type": "integer", "kind": "expression", "math_text": "(-3 + (-54)) * (88 - (-8))", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -54, \"c\": 88, \"d\": -8}", "seed": "9159716914297678721", "semantic_fingerprint": "sha256:351b6e31bd66871a838edae3ba9a273c70b89f5ef972a7f87b2896fea13e3ede", "generator_version": "3.0"}
{"id": "v3_test_id_00005710", "prompt": "Find x: -5(x + 56) + 5 = -79", "solution_steps": ["Expand: -5x - 280 + 5 = -79", "Combine constants: -5x - 275 = -79", "Add 275 to both sides: -5x = 196", "Divide both sides by -5: x = -196/5"], "final_answer": "-196/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x + 56) + 5 = -79", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 56, \"c\": 5, \"d\": -79}", "seed": "12188874326374383971", "semantic_fingerprint": "sha256:c179fcd439d8428117d5cde379ea84f6d208fd1e358845f3edb3f040e991fbd1", "generator_version": "3.0"}
{"id": "v3_test_id_00005711", "prompt": "What value of x satisfies -5(x - 20) = 10x + 85?", "solution_steps": ["Expand: -5x + 100 = 10x + 85", "Subtract 10x from both sides: -15x + 100 = 85", "Subtract 100 from both sides: -15x = -15", "Divide both sides by -15: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x - 20) = 10x + 85", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 20, \"c\": 10, \"e\": 85, \"x\": 1}", "seed": "18136890497170043460", "semantic_fingerprint": "sha256:a5916e6b6a04082db710ec83093c74aabad8d720188aa6bbc551c26296b53de7", "generator_version": "3.0"}
{"id": "v3_test_id_00005712", "prompt": "Solve the equation -8(x - 17) + 22 = 174 for x.", "solution_steps": ["Expand: -8x + 136 + 22 = 174", "Combine constants: -8x + 158 = 174", "Subtract 158 from both sides: -8x = 16", "Divide both sides by -8: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 17) + 22 = 174", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 17, \"c\": 22, \"e\": 174, \"x\": -2}", "seed": "701063998269260468", "semantic_fingerprint": "sha256:1fb140cfd60da5956dce0e7b84ea62924fcbbce323d685201602e8ec22ffddac", "generator_version": "3.0"}
{"id": "v3_test_id_00005713", "prompt": "Compute: -21 * 64 / (-16)", "solution_steps": ["Multiply: -21 * 64 = -1344", "Divide: -1344 / (-16) = 84"], "final_answer": "84", "answer_type": "integer", "kind": "expression", "math_text": "-21 * 64 / (-16)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -21, \"b\": 64, \"c\": -16}", "seed": "5702120870712235693", "semantic_fingerprint": "sha256:b41f09df8737c2aad57746e69bba78f60211708c05a0f25774fe8aa8f2f17695", "generator_version": "3.0"}
{"id": "v3_test_id_00005714", "prompt": "Solve the equation 12x = -192 for x.", "solution_steps": ["Divide both sides by 12: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = -192", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"c\": -192, \"x\": -16}", "seed": "8979739846066246415", "semantic_fingerprint": "sha256:2cb36f2b50b693a75aa136845b29906baa6c7c06a2b6446f507fa9ad59911867", "generator_version": "3.0"}
{"id": "v3_test_id_00005715", "prompt": "Compute: 0 / 9 / (-89) - (-520) * (99 + 1)", "solution_steps": ["Divide: 0 / 9 = 0", "Divide: 0 / (-89) = 0", "Add: 99 + 1 = 100", "Multiply: -520 * 100 = -52000", "Subtract: 0 - (-52000) = 52000"], "final_answer": "52000", "answer_type": "integer", "kind": "expression", "math_text": "0 / 9 / (-89) - (-520) * (99 + 1)", "variable": null, "family": "expression_5op", "shape": "(- (/ (/ n n) n) (* n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 9, \"c\": -89, \"d\": -520, \"e\": 99, \"f\": 1}", "seed": "18381737978931687308", "semantic_fingerprint": "sha256:b05599dda947011abdc81106b5667570035ce16dcb30738b5c10888c75d4988e", "generator_version": "3.0"}
{"id": "v3_test_id_00005716", "prompt": "Calculate: -1 / 993", "solution_steps": ["Divide: -1 / 993 = -1/993"], "final_answer": "-1/993", "answer_type": "rational", "kind": "expression", "math_text": "-1 / 993", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 993}", "seed": "15964732527259949498", "semantic_fingerprint": "sha256:99d85176c2648ccf486f11111ae4aac5ed100557d1e58bbe81b57e927d5d74fd", "generator_version": "3.0"}
{"id": "v3_test_id_00005717", "prompt": "What is -450 * (-453)?", "solution_steps": ["Multiply: -450 * (-453) = 203850"], "final_answer": "203850", "answer_type": "integer", "kind": "expression", "math_text": "-450 * (-453)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -450, \"b\": -453}", "seed": "8538323234164846668", "semantic_fingerprint": "sha256:c1212bc5f8916933f2d329a66581ba7aeba6badae92d970fb8fb6f179dddd9c0", "generator_version": "3.0"}
{"id": "v3_test_id_00005718", "prompt": "Evaluate: -91 + (-833 - (-7) + 3)", "solution_steps": ["Subtract: -833 - (-7) = -826", "Add: -826 + 3 = -823", "Add: -91 + (-823) = -914"], "final_answer": "-914", "answer_type": "integer", "kind": "expression", "math_text": "-91 + (-833 - (-7) + 3)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": -833, \"c\": -7, \"d\": 3}", "seed": "12242328528861115326", "semantic_fingerprint": "sha256:48574435c2f9796661368424b9683f680b698ffe63778db55d1a3830ea95386b", "generator_version": "3.0"}
{"id": "v3_test_id_00005719", "prompt": "Evaluate: 5 - 720 - (-965)", "solution_steps": ["Subtract: 5 - 720 = -715", "Subtract: -715 - (-965) = 250"], "final_answer": "250", "answer_type": "integer", "kind": "expression", "math_text": "5 - 720 - (-965)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 720, \"c\": -965}", "seed": "2910656735423410186", "semantic_fingerprint": "sha256:62e15a11fcc37cdfbe2f6133c668307d5977e6f3dbca53864b2366aeeaa444f6", "generator_version": "3.0"}
{"id": "v3_test_id_00005720", "prompt": "Evaluate: -90 * (-37) + 90", "solution_steps": ["Multiply: -90 * (-37) = 3330", "Add: 3330 + 90 = 3420"], "final_answer": "3420", "answer_type": "integer", "kind": "expression", "math_text": "-90 * (-37) + 90", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": -37, \"c\": 90}", "seed": "2696058187602720282", "semantic_fingerprint": "sha256:066f0105136899f00d2bb142587200ab24f77ae663a14d234e924772441b4e77", "generator_version": "3.0"}
{"id": "v3_test_id_00005721", "prompt": "Compute: (96 + (-15)) * 0", "solution_steps": ["Add: 96 + (-15) = 81", "Multiply: 81 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(96 + (-15)) * 0", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": -15, \"c\": 0}", "seed": "7200582661501408736", "semantic_fingerprint": "sha256:f5e2b0faa13e505eaebad2265995bd46e025f9e8cd2398710459902453de8018", "generator_version": "3.0"}
{"id": "v3_test_id_00005722", "prompt": "Solve the equation 7(x - 97) = x - 559 for x.", "solution_steps": ["Expand: 7x - 679 = x - 559", "Subtract x from both sides: 6x - 679 = -559", "Add 679 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 - 97) = x - 559", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 97, \"d\": -559, \"x\": 20}", "seed": "14561880758684913182", "semantic_fingerprint": "sha256:a2ada15e6f618ac56dda46f73d1ea5db69b64a9ec39775970b3bf2d4d893c0eb", "generator_version": "3.0"}
{"id": "v3_test_id_00005723", "prompt": "Calculate: 96 / 69 - (-47) / (-76)", "solution_steps": ["Divide: 96 / 69 = 32/23", "Divide: -47 / (-76) = 47/76", "Subtract: 32/23 - 47/76 = 1351/1748"], "final_answer": "1351/1748", "answer_type": "rational", "kind": "expression", "math_text": "96 / 69 - (-47) / (-76)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": 69, \"c\": -47, \"d\": -76}", "seed": "3836457354126100507", "semantic_fingerprint": "sha256:a3d3b5f373b0fc3f2b53638c0f6f57477ed1c14441e953dbc2957deacabed2d3", "generator_version": "3.0"}
{"id": "v3_test_id_00005724", "prompt": "Evaluate: -453 - (-763 + (-62) * 18)", "solution_steps": ["Multiply: -62 * 18 = -1116", "Add: -763 + (-1116) = -1879", "Subtract: -453 - (-1879) = 1426"], "final_answer": "1426", "answer_type": "integer", "kind": "expression", "math_text": "-453 - (-763 + (-62) * 18)", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -453, \"b\": -763, \"c\": -62, \"d\": 18}", "seed": "15991715010797083801", "semantic_fingerprint": "sha256:9f0c823f479e1277c75b2d9efc3ff85125e16d5317d4931e5f54749085d8d0db", "generator_version": "3.0"}
{"id": "v3_test_id_00005725", "prompt": "Calculate: -650 / (-613) * (-9)", "solution_steps": ["Divide: -650 / (-613) = 650/613", "Multiply: (650/613) * (-9) = -5850/613"], "final_answer": "-5850/613", "answer_type": "rational", "kind": "expression", "math_text": "-650 / (-613) * (-9)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -650, \"b\": -613, \"c\": -9}", "seed": "10905595927676407928", "semantic_fingerprint": "sha256:cfc784fcab71c58f0439ed6e34f247af92ef5256b962f1ff3ee5a7d3e79180ce", "generator_version": "3.0"}
{"id": "v3_test_id_00005726", "prompt": "Solve the equation 4(x + 38) - 204 = 8x for x.", "solution_steps": ["Expand: 4x + 152 - 204 = 8x", "Combine constants: 4x - 52 = 8x", "Subtract 8x from both sides: -4x - 52 = 0", "Add 52 to both sides: -4x = 52", "Divide both sides by -4: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 38) - 204 = 8x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 38, \"c\": 8, \"e\": -204, \"x\": -13}", "seed": "6328552297819486689", "semantic_fingerprint": "sha256:6180c11b086159f1976c1fa953f5a8691576e28058ad4808fb59f74fde37c62f", "generator_version": "3.0"}
{"id": "v3_test_id_00005727", "prompt": "Calculate: 36 * (-37 * (-3)) + (554 - (-24 - 8))", "solution_steps": ["Multiply: -37 * (-3) = 111", "Multiply: 36 * 111 = 3996", "Subtract: -24 - 8 = -32", "Subtract: 554 - (-32) = 586", "Add: 3996 + 586 = 4582"], "final_answer": "4582", "answer_type": "integer", "kind": "expression", "math_text": "36 * (-37 * (-3)) + (554 - (-24 - 8))", "variable": null, "family": "expression_5op", "shape": "(+ (* n (* n n)) (- n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 36, \"b\": -37, \"c\": -3, \"d\": 554, \"e\": -24, \"f\": 8}", "seed": "14238355407122656109", "semantic_fingerprint": "sha256:295975990801f2453313909dd878749ecb876e0b7ed28a94ce6e719c6866265c", "generator_version": "3.0"}
{"id": "v3_test_id_00005728", "prompt": "Evaluate: -15 + (-4) + (-9) * (-67)", "solution_steps": ["Add: -15 + (-4) = -19", "Multiply: -9 * (-67) = 603", "Add: -19 + 603 = 584"], "final_answer": "584", "answer_type": "integer", "kind": "expression", "math_text": "-15 + (-4) + (-9) * (-67)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": -4, \"c\": -9, \"d\": -67}", "seed": "6720652147306243823", "semantic_fingerprint": "sha256:7f04f869b7dc4e48bebbf478632d6c24957e4588b6488a8f6dc79dbdfd142787", "generator_version": "3.0"}
{"id": "v3_test_id_00005729", "prompt": "Evaluate: 74 / 9", "solution_steps": ["Divide: 74 / 9 = 74/9"], "final_answer": "74/9", "answer_type": "rational", "kind": "expression", "math_text": "74 / 9", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": 9}", "seed": "11993987159373365678", "semantic_fingerprint": "sha256:0169027f15417e6ea0466a3d80530ef9a0bff366168f521a1fa0a0b09963c676", "generator_version": "3.0"}
{"id": "v3_test_id_00005730", "prompt": "Calculate: 390 - (-30)", "solution_steps": ["Subtract: 390 - (-30) = 420"], "final_answer": "420", "answer_type": "integer", "kind": "expression", "math_text": "390 - (-30)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 390, \"b\": -30}", "seed": "2821116121230908076", "semantic_fingerprint": "sha256:6e9677b3dbe3ff975eaa0b47c3d09d827f3e18c9ffb04463b5066fca552aa6c3", "generator_version": "3.0"}
{"id": "v3_test_id_00005731", "prompt": "Find x: 8(x + 7) + 7 = -7x + 168", "solution_steps": ["Expand: 8x + 56 + 7 = -7x + 168", "Combine constants: 8x + 63 = -7x + 168", "Add 7x to both sides: 15x + 63 = 168", "Subtract 63 from both sides: 15x = 105", "Divide both sides by 15: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 7) + 7 = -7x + 168", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 7, \"c\": 7, \"d\": -7, \"f\": 168, \"x\": 7}", "seed": "12059006137718189336", "semantic_fingerprint": "sha256:37e435092aee435de3e11574a684afb9cf22355f5c2ff024349bcb85815fd0f3", "generator_version": "3.0"}
{"id": "v3_test_id_00005732", "prompt": "What value of x satisfies 9(x - 485) = x + 19?", "solution_steps": ["Expand: 9x - 4365 = x + 19", "Subtract x from both sides: 8x - 4365 = 19", "Add 4365 to both sides: 8x = 4384", "Divide both sides by 8: x = 548"], "final_answer": "548", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 485) = x + 19", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 485, \"c\": 19}", "seed": "4132485991331857271", "semantic_fingerprint": "sha256:ff1e1a3db40ecdade423b1b12a6586f968fd85551b3880407c6165361759c143", "generator_version": "3.0"}
{"id": "v3_test_id_00005733", "prompt": "Calculate: 668 + (-94) - (-782 - (-350 / 4 + (-95)))", "solution_steps": ["Add: 668 + (-94) = 574", "Divide: -350 / 4 = -175/2", "Add: -175/2 + (-95) = -365/2", "Subtract: -782 - (-365/2) = -1199/2", "Subtract: 574 - (-1199/2) = 2347/2"], "final_answer": "2347/2", "answer_type": "rational", "kind": "expression", "math_text": "668 + (-94) - (-782 - (-350 / 4 + (-95)))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (- n (+ (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 668, \"b\": -94, \"c\": -782, \"d\": -350, \"e\": 4, \"f\": -95}", "seed": "4299642914333669262", "semantic_fingerprint": "sha256:3b4100dc1447c2a9eff5fd5078cfa4e393f3af268eb4c9137c8448e69237c717", "generator_version": "3.0"}
{"id": "v3_test_id_00005734", "prompt": "Evaluate: 9 + (-17 - (-44))", "solution_steps": ["Subtract: -17 - (-44) = 27", "Add: 9 + 27 = 36"], "final_answer": "36", "answer_type": "integer", "kind": "expression", "math_text": "9 + (-17 - (-44))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -17, \"c\": -44}", "seed": "12938337344172757501", "semantic_fingerprint": "sha256:20d1fffd16d542c68156d0aa0c125266fa60df1e579954dac8e2147783d0b37d", "generator_version": "3.0"}
{"id": "v3_test_id_00005735", "prompt": "What value of x satisfies 5(x + 84) = 12(x - 4) - 73?", "solution_steps": ["Expand: 5x + 420 = 12(x - 4) - 73", "Expand: 5x + 420 = 12x - 48 - 73", "Combine constants: 5x + 420 = 12x - 121", "Subtract 12x from both sides: -7x + 420 = -121", "Subtract 420 from both sides: -7x = -541", "Divide both sides by -7: x = 541/7"], "final_answer": "541/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 84) = 12(x - 4) - 73", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 84, \"c\": 12, \"d\": 4, \"e\": 73}", "seed": "3336436527250841434", "semantic_fingerprint": "sha256:8c48381255124c8e4b7e69ff8985d549a5016595beceb856bf4cf2deb8098f61", "generator_version": "3.0"}
{"id": "v3_test_id_00005736", "prompt": "Solve the equation 7x - 571 = -641 for x.", "solution_steps": ["Add 571 to both sides: 7x = -70", "Divide both sides by 7: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 571 = -641", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 571, \"d\": -641, \"x\": -10}", "seed": "3467657678816969733", "semantic_fingerprint": "sha256:7322a5739145b4f6663274e673f2228eeb015925b6be8eedef9f65caa92f7af4", "generator_version": "3.0"}
{"id": "v3_test_id_00005737", "prompt": "Compute: (-7 - (-1) / (-46 / (-5))) * 46", "solution_steps": ["Divide: -46 / (-5) = 46/5", "Divide: -1 / (46/5) = -5/46", "Subtract: -7 - (-5/46) = -317/46", "Multiply: (-317/46) * 46 = -317"], "final_answer": "-317", "answer_type": "integer", "kind": "expression", "math_text": "(-7 - (-1) / (-46 / (-5))) * 46", "variable": null, "family": "expression_4op", "shape": "(* (- n (/ n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -1, \"c\": -46, \"d\": -5, \"e\": 46}", "seed": "5938922779103136529", "semantic_fingerprint": "sha256:e17b69ef9735ebeb9b1c115183a4c336fea52f6248f7f16b470305a345acdecd", "generator_version": "3.0"}
{"id": "v3_test_id_00005738", "prompt": "Calculate: -69 / 516 - (-98)", "solution_steps": ["Divide: -69 / 516 = -23/172", "Subtract: -23/172 - (-98) = 16833/172"], "final_answer": "16833/172", "answer_type": "rational", "kind": "expression", "math_text": "-69 / 516 - (-98)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": 516, \"c\": -98}", "seed": "13111338017815830468", "semantic_fingerprint": "sha256:60fb362bbd5e592e294661ae53616ff48f8e9918e10cbe0c1f677ef08fd66639", "generator_version": "3.0"}
{"id": "v3_test_id_00005739", "prompt": "What is 1 * 1 - (-7) + 9?", "solution_steps": ["Multiply: 1 * 1 = 1", "Subtract: 1 - (-7) = 8", "Add: 8 + 9 = 17"], "final_answer": "17", "answer_type": "integer", "kind": "expression", "math_text": "1 * 1 - (-7) + 9", "variable": null, "family": "expression_3op", "shape": "(+ (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 1, \"c\": -7, \"d\": 9}", "seed": "3420716351770907274", "semantic_fingerprint": "sha256:f69af78a0cae0c8e2c8b3601e15ad5455beaf5304d1b67e5f8c59e3a93893903", "generator_version": "3.0"}
{"id": "v3_test_id_00005740", "prompt": "Find x: -3x = -10(x - 4) + 16", "solution_steps": ["Expand: -3x = -10x + 40 + 16", "Combine constants: -3x = -10x + 56", "Add 10x to both sides: 7x = 56", "Divide both sides by 7: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x = -10(x - 4) + 16", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -10, \"c\": 4, \"e\": 16, \"x\": 8}", "seed": "9818580581445145942", "semantic_fingerprint": "sha256:452ca8c47e6ee735f712ad13accfa090485fda58cdd892018b5d5bee001fb694", "generator_version": "3.0"}
{"id": "v3_test_id_00005741", "prompt": "Evaluate: -651 * (25 - 2)", "solution_steps": ["Subtract: 25 - 2 = 23", "Multiply: -651 * 23 = -14973"], "final_answer": "-14973", "answer_type": "integer", "kind": "expression", "math_text": "-651 * (25 - 2)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -651, \"b\": 25, \"c\": 2}", "seed": "15894314864216765454", "semantic_fingerprint": "sha256:deb272d6b11e64a0c71fe0f99250fd4b032683baec299a736283d562b035da27", "generator_version": "3.0"}
{"id": "v3_test_id_00005742", "prompt": "What is -402 + (-80)?", "solution_steps": ["Add: -402 + (-80) = -482"], "final_answer": "-482", "answer_type": "integer", "kind": "expression", "math_text": "-402 + (-80)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -402, \"b\": -80}", "seed": "680561270124002686", "semantic_fingerprint": "sha256:37ec87ed6aaaedcb43928fb702f592e624de8e64674f97caf120ea9b41c9faa2", "generator_version": "3.0"}
{"id": "v3_test_id_00005743", "prompt": "Find x: 11x - 312 = 8(x + 50) - 709", "solution_steps": ["Expand: 11x - 312 = 8x + 400 - 709", "Combine constants: 11x - 312 = 8x - 309", "Subtract 8x from both sides: 3x - 312 = -309", "Add 312 to both sides: 3x = 3", "Divide both sides by 3: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 312 = 8(x + 50) - 709", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 312, \"c\": 8, \"d\": 50, \"f\": -709, \"x\": 1}", "seed": "12054517744217225206", "semantic_fingerprint": "sha256:7020e02125a1bde5774a82fdd82e38dd97c0f91e7ed85711672467e51226dff8", "generator_version": "3.0"}
{"id": "v3_test_id_00005744", "prompt": "What value of x satisfies x - 3 = -7(x + 2) + 83?", "solution_steps": ["Expand: x - 3 = -7x - 14 + 83", "Combine constants: x - 3 = -7x + 69", "Add 7x to both sides: 8x - 3 = 69", "Add 3 to both sides: 8x = 72", "Divide both sides by 8: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3 = -7(x + 2) + 83", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -7, \"c\": 2, \"e\": 83, \"x\": 9}", "seed": "5759356015130345708", "semantic_fingerprint": "sha256:4854d1798d8d9276ab43b85c0f12af1d3574cdc568bed3cb14d90da4440f01ea", "generator_version": "3.0"}
{"id": "v3_test_id_00005745", "prompt": "Solve for x: x - 967 = 7x", "solution_steps": ["Subtract 7x from both sides: -6x - 967 = 0", "Add 967 to both sides: -6x = 967", "Divide both sides by -6: x = -967/6"], "final_answer": "-967/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 967 = 7x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 967, \"b\": 7}", "seed": "10555783626120315162", "semantic_fingerprint": "sha256:4efbd46359f3ccd492cbb1c5db1ea4774df272846b1006be25a8adf487f181d3", "generator_version": "3.0"}
{"id": "v3_test_id_00005746", "prompt": "Calculate: -46 / 4", "solution_steps": ["Divide: -46 / 4 = -23/2"], "final_answer": "-23/2", "answer_type": "rational", "kind": "expression", "math_text": "-46 / 4", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": 4}", "seed": "17249889087480665175", "semantic_fingerprint": "sha256:864057e3a8b2493486830791c04b263304122a1f40d066ac994019db3191a78e", "generator_version": "3.0"}
{"id": "v3_test_id_00005747", "prompt": "Calculate: -1 + (272 - (-21))", "solution_steps": ["Subtract: 272 - (-21) = 293", "Add: -1 + 293 = 292"], "final_answer": "292", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (272 - (-21))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 272, \"c\": -21}", "seed": "15666884467231710933", "semantic_fingerprint": "sha256:627c8c79628c54e42babe2ac676e100642bb5cb4a5cd3a71fbabb39c0aaeae28", "generator_version": "3.0"}
{"id": "v3_test_id_00005748", "prompt": "Compute: 94 * 691", "solution_steps": ["Multiply: 94 * 691 = 64954"], "final_answer": "64954", "answer_type": "integer", "kind": "expression", "math_text": "94 * 691", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": 691}", "seed": "12812353626027852934", "semantic_fingerprint": "sha256:689b91ce2196d4211f3b9ed74c4ddaa92a9715e33e330786940b43d059b7e508", "generator_version": "3.0"}
{"id": "v3_test_id_00005749", "prompt": "What is -42 / 25 / (73 + (7 - 892))?", "solution_steps": ["Divide: -42 / 25 = -42/25", "Subtract: 7 - 892 = -885", "Add: 73 + (-885) = -812", "Divide: (-42/25) / (-812) = 3/1450"], "final_answer": "3/1450", "answer_type": "rational", "kind": "expression", "math_text": "-42 / 25 / (73 + (7 - 892))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n n) (+ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": 25, \"c\": 73, \"d\": 7, \"e\": 892}", "seed": "14839789519575591607", "semantic_fingerprint": "sha256:fd085ffb34536ef7799a1b70e0a2fa303172c8c4e654b2a07d3493defc9081f6", "generator_version": "3.0"}
{"id": "v3_test_id_00005750", "prompt": "Calculate: 27 * (107 / (-828))", "solution_steps": ["Divide: 107 / (-828) = -107/828", "Multiply: 27 * (-107/828) = -321/92"], "final_answer": "-321/92", "answer_type": "rational", "kind": "expression", "math_text": "27 * (107 / (-828))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": 107, \"c\": -828}", "seed": "10039397224417836287", "semantic_fingerprint": "sha256:3492651b04542ff2afd01187e577b43ef0ba0cdb0ea500dc2c4c74ef36b6a4c2", "generator_version": "3.0"}
{"id": "v3_test_id_00005751", "prompt": "Calculate: -72 * (-15)", "solution_steps": ["Multiply: -72 * (-15) = 1080"], "final_answer": "1080", "answer_type": "integer", "kind": "expression", "math_text": "-72 * (-15)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -72, \"b\": -15}", "seed": "5383154168080605461", "semantic_fingerprint": "sha256:43b20672967730ce1656e06e206136fe486594c99e06dae707ccf6c72c0ad309", "generator_version": "3.0"}
{"id": "v3_test_id_00005752", "prompt": "Evaluate: -628 * ((59 + (-27)) / (6 - 0))", "solution_steps": ["Add: 59 + (-27) = 32", "Subtract: 6 - 0 = 6", "Divide: 32 / 6 = 16/3", "Multiply: -628 * (16/3) = -10048/3"], "final_answer": "-10048/3", "answer_type": "rational", "kind": "expression", "math_text": "-628 * ((59 + (-27)) / (6 - 0))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (+ n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -628, \"b\": 59, \"c\": -27, \"d\": 6, \"e\": 0}", "seed": "15421027103346298967", "semantic_fingerprint": "sha256:0146aa5a737ce1310f4c58faa612ddd0424aa342f2392b46fab73e3676de16e5", "generator_version": "3.0"}
{"id": "v3_test_id_00005753", "prompt": "What value of x satisfies 9(x - 89) = 3(x - 4) - 747?", "solution_steps": ["Expand: 9x - 801 = 3(x - 4) - 747", "Expand: 9x - 801 = 3x - 12 - 747", "Combine constants: 9x - 801 = 3x - 759", "Subtract 3x from both sides: 6x - 801 = -759", "Add 801 to both sides: 6x = 42", "Divide both sides by 6: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 89) = 3(x - 4) - 747", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 89, \"c\": 3, \"d\": 4, \"f\": -747, \"x\": 7}", "seed": "10244259157836364334", "semantic_fingerprint": "sha256:8f4af1eb352ec6b7ccbeb3157ba56cfa56e52f88b04e18ccec8fc4f5737df762", "generator_version": "3.0"}
{"id": "v3_test_id_00005754", "prompt": "What is -3 + (655 - (-110)) / 3?", "solution_steps": ["Subtract: 655 - (-110) = 765", "Divide: 765 / 3 = 255", "Add: -3 + 255 = 252"], "final_answer": "252", "answer_type": "integer", "kind": "expression", "math_text": "-3 + (655 - (-110)) / 3", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 655, \"c\": -110, \"d\": 3}", "seed": "17434475876471089089", "semantic_fingerprint": "sha256:887f7a7415a78e1726a5cdfac5d926027ae4eb3ce9df089411543316e3aaec55", "generator_version": "3.0"}
{"id": "v3_test_id_00005755", "prompt": "What is -64 / (-170) - 85?", "solution_steps": ["Divide: -64 / (-170) = 32/85", "Subtract: 32/85 - 85 = -7193/85"], "final_answer": "-7193/85", "answer_type": "rational", "kind": "expression", "math_text": "-64 / (-170) - 85", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": -170, \"c\": 85}", "seed": "7976559912327116082", "semantic_fingerprint": "sha256:c5fb8808634916b0d59f96351ba707b260734311801d0d79ddd6d31856ea41c3", "generator_version": "3.0"}
{"id": "v3_test_id_00005756", "prompt": "Evaluate: 6 / 57", "solution_steps": ["Divide: 6 / 57 = 2/19"], "final_answer": "2/19", "answer_type": "rational", "kind": "expression", "math_text": "6 / 57", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 57}", "seed": "14215627983952571496", "semantic_fingerprint": "sha256:58c3a6dd1d57357b45edca4a057d419f0eac41fc792d188544e2cfac0a09b086", "generator_version": "3.0"}
{"id": "v3_test_id_00005757", "prompt": "Find x: 8(x - 8) = -5x", "solution_steps": ["Expand: 8x - 64 = -5x", "Add 5x to both sides: 13x - 64 = 0", "Add 64 to both sides: 13x = 64", "Divide both sides by 13: x = 64/13"], "final_answer": "64/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 8) = -5x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 8, \"c\": -5}", "seed": "8883768875179565571", "semantic_fingerprint": "sha256:42c12c4897d7725e0695387773a3ef992ddd05d70175a8dbe2ddde4fa12e785e", "generator_version": "3.0"}
{"id": "v3_test_id_00005758", "prompt": "Solve for x: -8(x - 480) - 21 = 2(x + 2) + 9", "solution_steps": ["Expand: -8x + 3840 - 21 = 2(x + 2) + 9", "Expand: -8x + 3840 - 21 = 2x + 4 + 9", "Combine constants: -8x + 3819 = 2x + 4 + 9", "Combine constants: -8x + 3819 = 2x + 13", "Subtract 2x from both sides: -10x + 3819 = 13", "Subtract 3819 from both sides: -10x = -3806", "Divide both sides by -10: x = 1903/5"], "final_answer": "1903/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x - 480) - 21 = 2(x + 2) + 9", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 480, \"c\": 21, \"d\": 2, \"e\": 2, \"f\": 9}", "seed": "17060122598124129005", "semantic_fingerprint": "sha256:10432adbc15102476fbea1afd72225e9d9111d45f9f294a7991d48a8c38bfa66", "generator_version": "3.0"}
{"id": "v3_test_id_00005759", "prompt": "What is 18 / (-80) * (-49) - 42?", "solution_steps": ["Divide: 18 / (-80) = -9/40", "Multiply: (-9/40) * (-49) = 441/40", "Subtract: 441/40 - 42 = -1239/40"], "final_answer": "-1239/40", "answer_type": "rational", "kind": "expression", "math_text": "18 / (-80) * (-49) - 42", "variable": null, "family": "expression_3op", "shape": "(- (* (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": -80, \"c\": -49, \"d\": 42}", "seed": "15901137921767710367", "semantic_fingerprint": "sha256:dffbb6379e8b1d4803102103f973a89ab9352167a4bd67e0ed965d5b2bd5699c", "generator_version": "3.0"}
{"id": "v3_test_id_00005760", "prompt": "What is -963 - 284?", "solution_steps": ["Subtract: -963 - 284 = -1247"], "final_answer": "-1247", "answer_type": "integer", "kind": "expression", "math_text": "-963 - 284", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -963, \"b\": 284}", "seed": "17004758191785568911", "semantic_fingerprint": "sha256:7925cf964854996dd9dd363603657682562e85798643d30f6ae289bc3c45a266", "generator_version": "3.0"}
{"id": "v3_test_id_00005761", "prompt": "Compute: -457 - (1 + (-55 + (-2)))", "solution_steps": ["Add: -55 + (-2) = -57", "Add: 1 + (-57) = -56", "Subtract: -457 - (-56) = -401"], "final_answer": "-401", "answer_type": "integer", "kind": "expression", "math_text": "-457 - (1 + (-55 + (-2)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -457, \"b\": 1, \"c\": -55, \"d\": -2}", "seed": "14981954433155739923", "semantic_fingerprint": "sha256:91a95a9b3938949df385703a5c457a234949dd33e28ac7707361456f60007dab", "generator_version": "3.0"}
{"id": "v3_test_id_00005762", "prompt": "Calculate: (75 - 8) * (-98 / (-90) * (-1 / 672))", "solution_steps": ["Subtract: 75 - 8 = 67", "Divide: -98 / (-90) = 49/45", "Divide: -1 / 672 = -1/672", "Multiply: (49/45) * (-1/672) = -7/4320", "Multiply: 67 * (-7/4320) = -469/4320"], "final_answer": "-469/4320", "answer_type": "rational", "kind": "expression", "math_text": "(75 - 8) * (-98 / (-90) * (-1 / 672))", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (* (/ n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": 8, \"c\": -98, \"d\": -90, \"e\": -1, \"f\": 672}", "seed": "10331316268963370804", "semantic_fingerprint": "sha256:99f95467c19c58231acfe773be11706771fb232bbb987f5185e91bb4382d84c3", "generator_version": "3.0"}
{"id": "v3_test_id_00005763", "prompt": "Evaluate: -676 * (-665) + 27", "solution_steps": ["Multiply: -676 * (-665) = 449540", "Add: 449540 + 27 = 449567"], "final_answer": "449567", "answer_type": "integer", "kind": "expression", "math_text": "-676 * (-665) + 27", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -676, \"b\": -665, \"c\": 27}", "seed": "15206539465235679929", "semantic_fingerprint": "sha256:e164ac5c43057f84b47283f630bcd041605cb4bd07a80875da181b5938e48afc", "generator_version": "3.0"}
{"id": "v3_test_id_00005764", "prompt": "Evaluate: 2 * 27", "solution_steps": ["Multiply: 2 * 27 = 54"], "final_answer": "54", "answer_type": "integer", "kind": "expression", "math_text": "2 * 27", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 27}", "seed": "16378983084156135674", "semantic_fingerprint": "sha256:b1bf8f882a61822e29c2375ad5a632f22d6ee513cde69a5cac96213d3f29e752", "generator_version": "3.0"}
{"id": "v3_test_id_00005765", "prompt": "Solve for x: 2(x + 23) - 657 = 9(x + 71)", "solution_steps": ["Expand: 2x + 46 - 657 = 9(x + 71)", "Expand: 2x + 46 - 657 = 9x + 639", "Combine constants: 2x - 611 = 9x + 639", "Subtract 9x from both sides: -7x - 611 = 639", "Add 611 to both sides: -7x = 1250", "Divide both sides by -7: x = -1250/7"], "final_answer": "-1250/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 23) - 657 = 9(x + 71)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 23, \"c\": 657, \"d\": 9, \"e\": 71}", "seed": "10040668438965523730", "semantic_fingerprint": "sha256:9c17f79e5cfdcd745aca76ba5e76d90f8d1d6bc71a8fcbe1868947cfa831b72f", "generator_version": "3.0"}
{"id": "v3_test_id_00005766", "prompt": "Find x: 9x - 64 = -5(x - 77) - 533", "solution_steps": ["Expand: 9x - 64 = -5x + 385 - 533", "Combine constants: 9x - 64 = -5x - 148", "Add 5x to both sides: 14x - 64 = -148", "Add 64 to both sides: 14x = -84", "Divide both sides by 14: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 64 = -5(x - 77) - 533", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 64, \"c\": -5, \"d\": 77, \"f\": -533, \"x\": -6}", "seed": "8770053035877621860", "semantic_fingerprint": "sha256:736131bd762589c7a17a14f4f1977f47ad46199ec4a7ac3c6c84e31162ea9ced", "generator_version": "3.0"}
{"id": "v3_test_id_00005767", "prompt": "Calculate: 98 / 64", "solution_steps": ["Divide: 98 / 64 = 49/32"], "final_answer": "49/32", "answer_type": "rational", "kind": "expression", "math_text": "98 / 64", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": 64}", "seed": "4996055137406890733", "semantic_fingerprint": "sha256:1572308e3b7438d9564806b3912fce031057cc5359f1b9cf309136ae70f820ad", "generator_version": "3.0"}
{"id": "v3_test_id_00005768", "prompt": "What value of x satisfies -7x + 48 = 2(x - 7) + 54?", "solution_steps": ["Expand: -7x + 48 = 2x - 14 + 54", "Combine constants: -7x + 48 = 2x + 40", "Subtract 2x from both sides: -9x + 48 = 40", "Subtract 48 from both sides: -9x = -8", "Divide both sides by -9: x = 8/9"], "final_answer": "8/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7x + 48 = 2(x - 7) + 54", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 48, \"c\": 2, \"d\": 7, \"e\": 54}", "seed": "12778746576450197534", "semantic_fingerprint": "sha256:e75ba5913db868aa2588fc0785bb3bb622689d73e3aed62a77763a28a7066ab1", "generator_version": "3.0"}
{"id": "v3_test_id_00005769", "prompt": "What value of x satisfies x + 10 = 8x + 2?", "solution_steps": ["Subtract 8x from both sides: -7x + 10 = 2", "Subtract 10 from both sides: -7x = -8", "Divide both sides by -7: x = 8/7"], "final_answer": "8/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 10 = 8x + 2", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 8, \"c\": 2}", "seed": "1710196027069575216", "semantic_fingerprint": "sha256:0699876e1a0499ceeb4a50d41349267a82a503c7a746cc15251630e84ce07120", "generator_version": "3.0"}
{"id": "v3_test_id_00005770", "prompt": "What value of x satisfies -11x + 49 = 8(x - 2) + 4?", "solution_steps": ["Expand: -11x + 49 = 8x - 16 + 4", "Combine constants: -11x + 49 = 8x - 12", "Subtract 8x from both sides: -19x + 49 = -12", "Subtract 49 from both sides: -19x = -61", "Divide both sides by -19: x = 61/19"], "final_answer": "61/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11x + 49 = 8(x - 2) + 4", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 49, \"c\": 8, \"d\": 2, \"e\": 4}", "seed": "15666247194125866750", "semantic_fingerprint": "sha256:6ffbe33a7077000e77d138497674ae6a63c8e0fcd2bd45f5c45bd49e706bf876", "generator_version": "3.0"}
{"id": "v3_test_id_00005771", "prompt": "Solve the equation 11(x + 9) = -4(x + 97) + 532 for x.", "solution_steps": ["Expand: 11x + 99 = -4(x + 97) + 532", "Expand: 11x + 99 = -4x - 388 + 532", "Combine constants: 11x + 99 = -4x + 144", "Add 4x to both sides: 15x + 99 = 144", "Subtract 99 from both sides: 15x = 45", "Divide both sides by 15: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 9) = -4(x + 97) + 532", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 9, \"c\": -4, \"d\": 97, \"f\": 532, \"x\": 3}", "seed": "9169587966464461937", "semantic_fingerprint": "sha256:ce8336d4a7e007d69c46be13730dfd3258489b4cd82825ad952d5d7555f0a177", "generator_version": "3.0"}
{"id": "v3_test_id_00005772", "prompt": "Find x: x - 97 = -2x - 79", "solution_steps": ["Add 2x to both sides: 3x - 97 = -79", "Add 97 to both sides: 3x = 18", "Divide both sides by 3: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 97 = -2x - 79", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": -2, \"d\": -79, \"x\": 6}", "seed": "7674952664966009893", "semantic_fingerprint": "sha256:acc07805c5bcbe42ebc603061e7169dd7828346a9ef8e449d7df08682e32a070", "generator_version": "3.0"}
{"id": "v3_test_id_00005773", "prompt": "Compute: -984 + 83 * 0 / (-29 * (-544))", "solution_steps": ["Multiply: 83 * 0 = 0", "Multiply: -29 * (-544) = 15776", "Divide: 0 / 15776 = 0", "Add: -984 + 0 = -984"], "final_answer": "-984", "answer_type": "integer", "kind": "expression", "math_text": "-984 + 83 * 0 / (-29 * (-544))", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (* n n) (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -984, \"b\": 83, \"c\": 0, \"d\": -29, \"e\": -544}", "seed": "9100697677884088113", "semantic_fingerprint": "sha256:db077b21ee76dc0be352edf1ccd90dea8c54b9f3f4df9ff5b535fa3a6e1a1daf", "generator_version": "3.0"}
{"id": "v3_test_id_00005774", "prompt": "Evaluate: 9 * (-449)", "solution_steps": ["Multiply: 9 * (-449) = -4041"], "final_answer": "-4041", "answer_type": "integer", "kind": "expression", "math_text": "9 * (-449)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -449}", "seed": "11641485591284621273", "semantic_fingerprint": "sha256:e944f49f0abd85ba4de97390232334f562419bd51f4b8dec7471c7e428e374e5", "generator_version": "3.0"}
{"id": "v3_test_id_00005775", "prompt": "What is -98 * (6 / 299) + 7?", "solution_steps": ["Divide: 6 / 299 = 6/299", "Multiply: -98 * (6/299) = -588/299", "Add: -588/299 + 7 = 1505/299"], "final_answer": "1505/299", "answer_type": "rational", "kind": "expression", "math_text": "-98 * (6 / 299) + 7", "variable": null, "family": "expression_3op", "shape": "(+ (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -98, \"b\": 6, \"c\": 299, \"d\": 7}", "seed": "6059224710251551561", "semantic_fingerprint": "sha256:6a9f553a27fb0aee47e5d93e0b9c36f62e5f32cef2efbbfe5bfff5f439ad3e77", "generator_version": "3.0"}
{"id": "v3_test_id_00005776", "prompt": "Calculate: -71 * 269 / 7 / (-5 - (23 - (-811)))", "solution_steps": ["Multiply: -71 * 269 = -19099", "Divide: -19099 / 7 = -19099/7", "Subtract: 23 - (-811) = 834", "Subtract: -5 - 834 = -839", "Divide: (-19099/7) / (-839) = 19099/5873"], "final_answer": "19099/5873", "answer_type": "rational", "kind": "expression", "math_text": "-71 * 269 / 7 / (-5 - (23 - (-811)))", "variable": null, "family": "expression_5op", "shape": "(/ (/ (* n n) n) (- n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -71, \"b\": 269, \"c\": 7, \"d\": -5, \"e\": 23, \"f\": -811}", "seed": "7138510007198129381", "semantic_fingerprint": "sha256:213df543b8383ec1eadf19eab88e4b9621883d8265eb9857b6aa92a605705465", "generator_version": "3.0"}
{"id": "v3_test_id_00005777", "prompt": "Calculate: -1 - (-195) / (-6) + (-290) * 56", "solution_steps": ["Divide: -195 / (-6) = 65/2", "Subtract: -1 - 65/2 = -67/2", "Multiply: -290 * 56 = -16240", "Add: -67/2 + (-16240) = -32547/2"], "final_answer": "-32547/2", "answer_type": "rational", "kind": "expression", "math_text": "-1 - (-195) / (-6) + (-290) * 56", "variable": null, "family": "expression_4op", "shape": "(+ (- n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -195, \"c\": -6, \"d\": -290, \"e\": 56}", "seed": "17799980820583456221", "semantic_fingerprint": "sha256:e324263f9244733140254499362211a23acad01fe67e9533ea89833de2be9bab", "generator_version": "3.0"}
{"id": "v3_test_id_00005778", "prompt": "Evaluate: -9 + (-5) / (-6 / 8)", "solution_steps": ["Divide: -6 / 8 = -3/4", "Divide: -5 / (-3/4) = 20/3", "Add: -9 + 20/3 = -7/3"], "final_answer": "-7/3", "answer_type": "rational", "kind": "expression", "math_text": "-9 + (-5) / (-6 / 8)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -5, \"c\": -6, \"d\": 8}", "seed": "15442031464192935844", "semantic_fingerprint": "sha256:8c75c8014213f6d91ae62ff93a4d4f317305a73450b0bb283aa880c42777cccb", "generator_version": "3.0"}
{"id": "v3_test_id_00005779", "prompt": "Compute: -292 - (23 - 891)", "solution_steps": ["Subtract: 23 - 891 = -868", "Subtract: -292 - (-868) = 576"], "final_answer": "576", "answer_type": "integer", "kind": "expression", "math_text": "-292 - (23 - 891)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -292, \"b\": 23, \"c\": 891}", "seed": "7324525311925068378", "semantic_fingerprint": "sha256:f5e92aea72e5ece54c240d357e9bbbc421c5d9d448168a24fbe185aaa99b0631", "generator_version": "3.0"}
{"id": "v3_test_id_00005780", "prompt": "Find x: 6(x - 680) = 4(x - 600)", "solution_steps": ["Expand: 6x - 4080 = 4(x - 600)", "Expand: 6x - 4080 = 4x - 2400", "Subtract 4x from both sides: 2x - 4080 = -2400", "Add 4080 to both sides: 2x = 1680", "Divide both sides by 2: x = 840"], "final_answer": "840", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 680) = 4(x - 600)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 680, \"c\": 4, \"d\": 600}", "seed": "14529320225056348948", "semantic_fingerprint": "sha256:44eea2f7eebfb37edf424013217dd72a8d4bde00da2ea97302c4935afaabfc93", "generator_version": "3.0"}
{"id": "v3_test_id_00005781", "prompt": "What value of x satisfies -11(x + 57) + 744 = 2(x + 10) + 6?", "solution_steps": ["Expand: -11x - 627 + 744 = 2(x + 10) + 6", "Expand: -11x - 627 + 744 = 2x + 20 + 6", "Combine constants: -11x + 117 = 2x + 20 + 6", "Combine constants: -11x + 117 = 2x + 26", "Subtract 2x from both sides: -13x + 117 = 26", "Subtract 117 from both sides: -13x = -91", "Divide both sides by -13: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 57) + 744 = 2(x + 10) + 6", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 57, \"c\": 744, \"d\": 2, \"e\": 10, \"g\": 6, \"x\": 7}", "seed": "17698896645501285093", "semantic_fingerprint": "sha256:c72d77191936f1ce41607733383bb0f9677ebe288e6a35c9735e568eb56024f0", "generator_version": "3.0"}
{"id": "v3_test_id_00005782", "prompt": "Find x: x + 963 = 945", "solution_steps": ["Subtract 963 from both sides: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 963 = 945", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 963, \"c\": 945, \"x\": -18}", "seed": "17212138123365874599", "semantic_fingerprint": "sha256:486e8c83b841c78dff5522c11863fb829b0009fb44042b93a07341b6e5451b50", "generator_version": "3.0"}
{"id": "v3_test_id_00005783", "prompt": "Evaluate: 2 * (-759 / 91)", "solution_steps": ["Divide: -759 / 91 = -759/91", "Multiply: 2 * (-759/91) = -1518/91"], "final_answer": "-1518/91", "answer_type": "rational", "kind": "expression", "math_text": "2 * (-759 / 91)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -759, \"c\": 91}", "seed": "10821380457802339125", "semantic_fingerprint": "sha256:a53b1ab247606fb28ad1773a79d18a907599c60c736d6c33347a947102613ea8", "generator_version": "3.0"}
{"id": "v3_test_id_00005784", "prompt": "Solve the equation x + 1 = -3x + 1 for x.", "solution_steps": ["Add 3x to both sides: 4x + 1 = 1", "Subtract 1 from both sides: 4x = 0", "Divide both sides by 4: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1 = -3x + 1", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -3, \"d\": 1, \"x\": 0}", "seed": "16072419110729117807", "semantic_fingerprint": "sha256:c8a9e5500ba79b53cca00c5cfc680d8bf664245d61a26882ec33b8feb34d60d5", "generator_version": "3.0"}
{"id": "v3_test_id_00005785", "prompt": "What is -728 / (2 + (-98)) - (33 + 984)?", "solution_steps": ["Add: 2 + (-98) = -96", "Divide: -728 / (-96) = 91/12", "Add: 33 + 984 = 1017", "Subtract: 91/12 - 1017 = -12113/12"], "final_answer": "-12113/12", "answer_type": "rational", "kind": "expression", "math_text": "-728 / (2 + (-98)) - (33 + 984)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (+ n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -728, \"b\": 2, \"c\": -98, \"d\": 33, \"e\": 984}", "seed": "16663694543283967621", "semantic_fingerprint": "sha256:34ecbda702ef00c2a0fb5ad8442e2a44030ad8e3ccdde63fccf8bbf1657ec5d4", "generator_version": "3.0"}
{"id": "v3_test_id_00005786", "prompt": "Calculate: -4 / (-384) - 22 + (-473 - (-3))", "solution_steps": ["Divide: -4 / (-384) = 1/96", "Subtract: 1/96 - 22 = -2111/96", "Subtract: -473 - (-3) = -470", "Add: -2111/96 + (-470) = -47231/96"], "final_answer": "-47231/96", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-384) - 22 + (-473 - (-3))", "variable": null, "family": "expression_4op", "shape": "(+ (- (/ n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -384, \"c\": 22, \"d\": -473, \"e\": -3}", "seed": "8588856779807090462", "semantic_fingerprint": "sha256:b0a5ed5eddf9ade03a23deb2a20241672cdc4b76dfcaddabbbf36a1dccef74bc", "generator_version": "3.0"}
{"id": "v3_test_id_00005787", "prompt": "Evaluate: 0 - (-66) / (-46) * (-354)", "solution_steps": ["Divide: -66 / (-46) = 33/23", "Multiply: (33/23) * (-354) = -11682/23", "Subtract: 0 - (-11682/23) = 11682/23"], "final_answer": "11682/23", "answer_type": "rational", "kind": "expression", "math_text": "0 - (-66) / (-46) * (-354)", "variable": null, "family": "expression_3op", "shape": "(- n (* (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -66, \"c\": -46, \"d\": -354}", "seed": "4111942957749540275", "semantic_fingerprint": "sha256:53077f6bd3182165b43715a6f084f5762a8fbd0d10eba140714985a9ed97d19b", "generator_version": "3.0"}
{"id": "v3_test_id_00005788", "prompt": "Solve for x: -5(x + 13) + 94 = 12(x + 354) + 71", "solution_steps": ["Expand: -5x - 65 + 94 = 12(x + 354) + 71", "Expand: -5x - 65 + 94 = 12x + 4248 + 71", "Combine constants: -5x + 29 = 12x + 4248 + 71", "Combine constants: -5x + 29 = 12x + 4319", "Subtract 12x from both sides: -17x + 29 = 4319", "Subtract 29 from both sides: -17x = 4290", "Divide both sides by -17: x = -4290/17"], "final_answer": "-4290/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x + 13) + 94 = 12(x + 354) + 71", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 13, \"c\": 94, \"d\": 12, \"e\": 354, \"f\": 71}", "seed": "17469041241098234825", "semantic_fingerprint": "sha256:449a68e1ded03e128d46e5cf4d38d10d3fd38cca0c14d5bc4003723d67f92d27", "generator_version": "3.0"}
{"id": "v3_test_id_00005789", "prompt": "Calculate: 3 + (798 - (0 + 839)) - 9 - (-1)", "solution_steps": ["Add: 0 + 839 = 839", "Subtract: 798 - 839 = -41", "Add: 3 + (-41) = -38", "Subtract: -38 - 9 = -47", "Subtract: -47 - (-1) = -46"], "final_answer": "-46", "answer_type": "integer", "kind": "expression", "math_text": "3 + (798 - (0 + 839)) - 9 - (-1)", "variable": null, "family": "expression_5op", "shape": "(- (- (+ n (- n (+ n n))) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 798, \"c\": 0, \"d\": 839, \"e\": 9, \"f\": -1}", "seed": "4854830012409521793", "semantic_fingerprint": "sha256:f8822a18c78ff2059a297101811832c706e5333c03bc76a825785bcb54808b73", "generator_version": "3.0"}
{"id": "v3_test_id_00005790", "prompt": "What is -95 * 32?", "solution_steps": ["Multiply: -95 * 32 = -3040"], "final_answer": "-3040", "answer_type": "integer", "kind": "expression", "math_text": "-95 * 32", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -95, \"b\": 32}", "seed": "12085974357239568817", "semantic_fingerprint": "sha256:a0e7225a1dd82323afcf6502c965c14e739310b8221c2f3e4e3113c6156c33d4", "generator_version": "3.0"}
{"id": "v3_test_id_00005791", "prompt": "Compute: -94 - 9 * 203", "solution_steps": ["Multiply: 9 * 203 = 1827", "Subtract: -94 - 1827 = -1921"], "final_answer": "-1921", "answer_type": "integer", "kind": "expression", "math_text": "-94 - 9 * 203", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": 9, \"c\": 203}", "seed": "5000980918677588624", "semantic_fingerprint": "sha256:313c100db97c021382effb95a92b48c7e4e9298fed18e3fc928539d6ee75fcff", "generator_version": "3.0"}
{"id": "v3_test_id_00005792", "prompt": "Calculate: 90 + (56 - 13)", "solution_steps": ["Subtract: 56 - 13 = 43", "Add: 90 + 43 = 133"], "final_answer": "133", "answer_type": "integer", "kind": "expression", "math_text": "90 + (56 - 13)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": 56, \"c\": 13}", "seed": "1304312127059623058", "semantic_fingerprint": "sha256:44376b723e5f4387b066aca00b6e1ffa0c3a7ccb0121c4201a36d24bc4805997", "generator_version": "3.0"}
{"id": "v3_test_id_00005793", "prompt": "Solve for x: -11x - 81 = x - 261", "solution_steps": ["Subtract x from both sides: -12x - 81 = -261", "Add 81 to both sides: -12x = -180", "Divide both sides by -12: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x - 81 = x - 261", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 81, \"d\": -261, \"x\": 15}", "seed": "5535645370621447020", "semantic_fingerprint": "sha256:aea41b139e13c63abcddbf70634379f2c76ffb4d19a2c1ed7f34fa4ddd61893f", "generator_version": "3.0"}
{"id": "v3_test_id_00005794", "prompt": "Compute: -47 * (47 - 634) / 74", "solution_steps": ["Subtract: 47 - 634 = -587", "Multiply: -47 * (-587) = 27589", "Divide: 27589 / 74 = 27589/74"], "final_answer": "27589/74", "answer_type": "rational", "kind": "expression", "math_text": "-47 * (47 - 634) / 74", "variable": null, "family": "expression_3op", "shape": "(/ (* n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": 47, \"c\": 634, \"d\": 74}", "seed": "3785475128928834464", "semantic_fingerprint": "sha256:d7da99f56569d47344b44843f108054051b7db2e59bfcd303cb17852fa735386", "generator_version": "3.0"}
{"id": "v3_test_id_00005795", "prompt": "Find x: 11(x - 29) = x", "solution_steps": ["Expand: 11x - 319 = x", "Subtract x from both sides: 10x - 319 = 0", "Add 319 to both sides: 10x = 319", "Divide both sides by 10: x = 319/10"], "final_answer": "319/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 29) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 29}", "seed": "15069668575325931712", "semantic_fingerprint": "sha256:3d6938b234ba07bf4b03fcf683de77e691792034c6fee0f4597020b68174a47d", "generator_version": "3.0"}
{"id": "v3_test_id_00005796", "prompt": "Compute: -130 / 4 - (-993) / (-141 / (-19) - 819)", "solution_steps": ["Divide: -130 / 4 = -65/2", "Divide: -141 / (-19) = 141/19", "Subtract: 141/19 - 819 = -15420/19", "Divide: -993 / (-15420/19) = 6289/5140", "Subtract: -65/2 - 6289/5140 = -173339/5140"], "final_answer": "-173339/5140", "answer_type": "rational", "kind": "expression", "math_text": "-130 / 4 - (-993) / (-141 / (-19) - 819)", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (/ n (- (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -130, \"b\": 4, \"c\": -993, \"d\": -141, \"e\": -19, \"f\": 819}", "seed": "4485980150083118035", "semantic_fingerprint": "sha256:0f142c30e2ff2ed96ebbb22b91a911342e8a9ed6307e2ff0504fc112b8229944", "generator_version": "3.0"}
{"id": "v3_test_id_00005797", "prompt": "What is -24 - 17 * (-36 + (-220))?", "solution_steps": ["Add: -36 + (-220) = -256", "Multiply: 17 * (-256) = -4352", "Subtract: -24 - (-4352) = 4328"], "final_answer": "4328", "answer_type": "integer", "kind": "expression", "math_text": "-24 - 17 * (-36 + (-220))", "variable": null, "family": "expression_3op", "shape": "(- n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": 17, \"c\": -36, \"d\": -220}", "seed": "16350519405210090053", "semantic_fingerprint": "sha256:89b6cf4f153fade74edf9a0228fddfb2a71685127d3d01213c0c4f40c949aa46", "generator_version": "3.0"}
{"id": "v3_test_id_00005798", "prompt": "What is 40 - (-8)?", "solution_steps": ["Subtract: 40 - (-8) = 48"], "final_answer": "48", "answer_type": "integer", "kind": "expression", "math_text": "40 - (-8)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": -8}", "seed": "9481124836384182458", "semantic_fingerprint": "sha256:c1422a30b7b9ba56d7f3899c28846f2a1d17f2271b243f4d0ea57b33fa8660f6", "generator_version": "3.0"}
{"id": "v3_test_id_00005799", "prompt": "Calculate: -49 / (-520 + (-2) * 17) / (-7)", "solution_steps": ["Multiply: -2 * 17 = -34", "Add: -520 + (-34) = -554", "Divide: -49 / (-554) = 49/554", "Divide: (49/554) / (-7) = -7/554"], "final_answer": "-7/554", "answer_type": "rational", "kind": "expression", "math_text": "-49 / (-520 + (-2) * 17) / (-7)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (+ n (* n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": -520, \"c\": -2, \"d\": 17, \"e\": -7}", "seed": "4509626538898075460", "semantic_fingerprint": "sha256:f66ecdda17d5d407943b435b0ed9c593444baaaf4d7c5cdf5bff5c3f596f4f55", "generator_version": "3.0"}
{"id": "v3_test_id_00005800", "prompt": "What is (3 - 59) * (-533 - (-32))?", "solution_steps": ["Subtract: 3 - 59 = -56", "Subtract: -533 - (-32) = -501", "Multiply: -56 * (-501) = 28056"], "final_answer": "28056", "answer_type": "integer", "kind": "expression", "math_text": "(3 - 59) * (-533 - (-32))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 59, \"c\": -533, \"d\": -32}", "seed": "2882540025885921815", "semantic_fingerprint": "sha256:67e302b118906059a37a775175edef429811473a26a2bf21f0c04a198dee1c87", "generator_version": "3.0"}
{"id": "v3_test_id_00005801", "prompt": "Calculate: (47 - (-89) / 237) * (-1 - (-58))", "solution_steps": ["Divide: -89 / 237 = -89/237", "Subtract: 47 - (-89/237) = 11228/237", "Subtract: -1 - (-58) = 57", "Multiply: (11228/237) * 57 = 213332/79"], "final_answer": "213332/79", "answer_type": "rational", "kind": "expression", "math_text": "(47 - (-89) / 237) * (-1 - (-58))", "variable": null, "family": "expression_4op", "shape": "(* (- n (/ n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": -89, \"c\": 237, \"d\": -1, \"e\": -58}", "seed": "14867158029510348964", "semantic_fingerprint": "sha256:ea8534e3b347b2f969f7b025e5a0324c910eef9a3fc81499b0278269732e5d2f", "generator_version": "3.0"}
{"id": "v3_test_id_00005802", "prompt": "What value of x satisfies -10(x - 8) = 7(x + 9) - 5?", "solution_steps": ["Expand: -10x + 80 = 7(x + 9) - 5", "Expand: -10x + 80 = 7x + 63 - 5", "Combine constants: -10x + 80 = 7x + 58", "Subtract 7x from both sides: -17x + 80 = 58", "Subtract 80 from both sides: -17x = -22", "Divide both sides by -17: x = 22/17"], "final_answer": "22/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "-10(x - 8) = 7(x + 9) - 5", "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\": 7, \"d\": 9, \"e\": 5}", "seed": "9603616011066413999", "semantic_fingerprint": "sha256:77506093022ce112761db4e6d8ea258075d2ed847adad0fd9bc780d7406b9970", "generator_version": "3.0"}
{"id": "v3_test_id_00005803", "prompt": "Calculate: (-6 + (-2)) * (-887 * (38 - 4))", "solution_steps": ["Add: -6 + (-2) = -8", "Subtract: 38 - 4 = 34", "Multiply: -887 * 34 = -30158", "Multiply: -8 * (-30158) = 241264"], "final_answer": "241264", "answer_type": "integer", "kind": "expression", "math_text": "(-6 + (-2)) * (-887 * (38 - 4))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -2, \"c\": -887, \"d\": 38, \"e\": 4}", "seed": "12596591499329983578", "semantic_fingerprint": "sha256:743e366e8dc8622ffd059e12a323cd175f763f289f8787c9963a8571d0f5681c", "generator_version": "3.0"}
{"id": "v3_test_id_00005804", "prompt": "Solve the equation x + 975 = 11(x + 99) for x.", "solution_steps": ["Expand: x + 975 = 11x + 1089", "Subtract 11x from both sides: -10x + 975 = 1089", "Subtract 975 from both sides: -10x = 114", "Divide both sides by -10: x = -57/5"], "final_answer": "-57/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 975 = 11(x + 99)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 975, \"b\": 11, \"c\": 99}", "seed": "12225420560630680103", "semantic_fingerprint": "sha256:6ee7854ce6b7ef0d0886b6fa0d5e2fb29274cac0a58d12592704e86991c4dd69", "generator_version": "3.0"}
{"id": "v3_test_id_00005805", "prompt": "Calculate: (-152 - 31 + 814) / (-28 - (-66))", "solution_steps": ["Subtract: -152 - 31 = -183", "Add: -183 + 814 = 631", "Subtract: -28 - (-66) = 38", "Divide: 631 / 38 = 631/38"], "final_answer": "631/38", "answer_type": "rational", "kind": "expression", "math_text": "(-152 - 31 + 814) / (-28 - (-66))", "variable": null, "family": "expression_4op", "shape": "(/ (+ (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -152, \"b\": 31, \"c\": 814, \"d\": -28, \"e\": -66}", "seed": "5404255495097398200", "semantic_fingerprint": "sha256:f3ec743ab532d513767de1fdc6c2c9b5a61ab44dde4940463495e5813eda8623", "generator_version": "3.0"}
{"id": "v3_test_id_00005806", "prompt": "Evaluate: 41 - (-5) * (-53)", "solution_steps": ["Multiply: -5 * (-53) = 265", "Subtract: 41 - 265 = -224"], "final_answer": "-224", "answer_type": "integer", "kind": "expression", "math_text": "41 - (-5) * (-53)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": -5, \"c\": -53}", "seed": "7485749435822631368", "semantic_fingerprint": "sha256:0b61708005e762e4b67b0da0787ef36b78d5fe35cd467cf5fcbee22d27b292df", "generator_version": "3.0"}
{"id": "v3_test_id_00005807", "prompt": "Evaluate: -66 + (-6 * (-802) - (-4 - 30) * (-6))", "solution_steps": ["Multiply: -6 * (-802) = 4812", "Subtract: -4 - 30 = -34", "Multiply: -34 * (-6) = 204", "Subtract: 4812 - 204 = 4608", "Add: -66 + 4608 = 4542"], "final_answer": "4542", "answer_type": "integer", "kind": "expression", "math_text": "-66 + (-6 * (-802) - (-4 - 30) * (-6))", "variable": null, "family": "expression_5op", "shape": "(+ n (- (* n n) (* (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": -6, \"c\": -802, \"d\": -4, \"e\": 30, \"f\": -6}", "seed": "6765288112601010928", "semantic_fingerprint": "sha256:4e8e93854afdf19cec16847a5d85e77fa3ed32161e8eec71efa578e6510e5903", "generator_version": "3.0"}
{"id": "v3_test_id_00005808", "prompt": "Solve for x: 10(x + 8) + 85 = -5x - 723", "solution_steps": ["Expand: 10x + 80 + 85 = -5x - 723", "Combine constants: 10x + 165 = -5x - 723", "Add 5x to both sides: 15x + 165 = -723", "Subtract 165 from both sides: 15x = -888", "Divide both sides by 15: x = -296/5"], "final_answer": "-296/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 8) + 85 = -5x - 723", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 8, \"c\": 85, \"d\": -5, \"e\": 723}", "seed": "5487315637826449660", "semantic_fingerprint": "sha256:2ce545c0aac9239fd0dea5d6690e3a195a7e4475e7502197274f210f73cc8717", "generator_version": "3.0"}
{"id": "v3_test_id_00005809", "prompt": "What is -26 + (-10)?", "solution_steps": ["Add: -26 + (-10) = -36"], "final_answer": "-36", "answer_type": "integer", "kind": "expression", "math_text": "-26 + (-10)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": -10}", "seed": "6412362922731245811", "semantic_fingerprint": "sha256:d8506f6ce75da0d7a044bd4a28cfd006420f1127fe826ec5e8dfbe1267baf2c1", "generator_version": "3.0"}
{"id": "v3_test_id_00005810", "prompt": "What is -82 * (-66)?", "solution_steps": ["Multiply: -82 * (-66) = 5412"], "final_answer": "5412", "answer_type": "integer", "kind": "expression", "math_text": "-82 * (-66)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -82, \"b\": -66}", "seed": "9357431321457004270", "semantic_fingerprint": "sha256:fa6a365344fbc4b59299392a0c1ad6df437be5c89a199d0cd138e2963c225979", "generator_version": "3.0"}
{"id": "v3_test_id_00005811", "prompt": "Compute: 83 - (-84) + 22 / 48 + 1", "solution_steps": ["Subtract: 83 - (-84) = 167", "Divide: 22 / 48 = 11/24", "Add: 167 + 11/24 = 4019/24", "Add: 4019/24 + 1 = 4043/24"], "final_answer": "4043/24", "answer_type": "rational", "kind": "expression", "math_text": "83 - (-84) + 22 / 48 + 1", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": -84, \"c\": 22, \"d\": 48, \"e\": 1}", "seed": "1552504318891959685", "semantic_fingerprint": "sha256:02c704228f7b6b18df5297b41a4e47677efc1203d6bf0c531b8c73e1761f7a6b", "generator_version": "3.0"}
{"id": "v3_test_id_00005812", "prompt": "Solve for x: 12(x - 5) = 4(x - 78)", "solution_steps": ["Expand: 12x - 60 = 4(x - 78)", "Expand: 12x - 60 = 4x - 312", "Subtract 4x from both sides: 8x - 60 = -312", "Add 60 to both sides: 8x = -252", "Divide both sides by 8: x = -63/2"], "final_answer": "-63/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 5) = 4(x - 78)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": 4, \"d\": 78}", "seed": "12724033046626883342", "semantic_fingerprint": "sha256:9cd8f2b0ac65de748ca6e35ef3c5ce5102dbd90c4837b20b90db23c0e9c46c48", "generator_version": "3.0"}
{"id": "v3_test_id_00005813", "prompt": "Solve the equation 12x + 75 = x + 83 for x.", "solution_steps": ["Subtract x from both sides: 11x + 75 = 83", "Subtract 75 from both sides: 11x = 8", "Divide both sides by 11: x = 8/11"], "final_answer": "8/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x + 75 = x + 83", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 75, \"c\": 83}", "seed": "3829421439056670144", "semantic_fingerprint": "sha256:cf4fcd7baff2107639d5dccad018ee18d2c4de7d6a9c8c96858efba52c2c5c83", "generator_version": "3.0"}
{"id": "v3_test_id_00005814", "prompt": "What value of x satisfies 4(x + 9) = 9x + 96?", "solution_steps": ["Expand: 4x + 36 = 9x + 96", "Subtract 9x from both sides: -5x + 36 = 96", "Subtract 36 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 + 9) = 9x + 96", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 9, \"e\": 96, \"x\": -12}", "seed": "12916205030750888808", "semantic_fingerprint": "sha256:446135473aad56cabdedc8ca8099f1546bd1ca337965dce072f35eb9320cdada", "generator_version": "3.0"}
{"id": "v3_test_id_00005815", "prompt": "Solve the equation -5(x + 1) = x + 85 for x.", "solution_steps": ["Expand: -5x - 5 = x + 85", "Subtract x from both sides: -6x - 5 = 85", "Add 5 to both sides: -6x = 90", "Divide both sides by -6: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 1) = x + 85", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 1, \"d\": 85, \"x\": -15}", "seed": "4794138505631157345", "semantic_fingerprint": "sha256:9c883d4ca324af3a9d6070cad675299077a32b21edbed6bb6f574e162a8787ee", "generator_version": "3.0"}
{"id": "v3_test_id_00005816", "prompt": "Evaluate: -517 - 540", "solution_steps": ["Subtract: -517 - 540 = -1057"], "final_answer": "-1057", "answer_type": "integer", "kind": "expression", "math_text": "-517 - 540", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -517, \"b\": 540}", "seed": "15161412544277203097", "semantic_fingerprint": "sha256:705b5960ec38abf29f4233f78cd601430c08d70fbda0bfe54f235dda648d4322", "generator_version": "3.0"}
{"id": "v3_test_id_00005817", "prompt": "Calculate: -20 - (43 + 198 * 8)", "solution_steps": ["Multiply: 198 * 8 = 1584", "Add: 43 + 1584 = 1627", "Subtract: -20 - 1627 = -1647"], "final_answer": "-1647", "answer_type": "integer", "kind": "expression", "math_text": "-20 - (43 + 198 * 8)", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": 43, \"c\": 198, \"d\": 8}", "seed": "11762553512927343580", "semantic_fingerprint": "sha256:138f0a863a8f8e8ee673854b9e365b44138adb25219c19ee8b4aba226ca42f73", "generator_version": "3.0"}
{"id": "v3_test_id_00005818", "prompt": "Evaluate: (6 - 526) / (-6)", "solution_steps": ["Subtract: 6 - 526 = -520", "Divide: -520 / (-6) = 260/3"], "final_answer": "260/3", "answer_type": "rational", "kind": "expression", "math_text": "(6 - 526) / (-6)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 526, \"c\": -6}", "seed": "9536729754358583658", "semantic_fingerprint": "sha256:c148134a7404d030e0a9603d4ab29d3c204c242a503a36a77265240ac0119edc", "generator_version": "3.0"}
{"id": "v3_test_id_00005819", "prompt": "Calculate: (-7 + 384) * 17", "solution_steps": ["Add: -7 + 384 = 377", "Multiply: 377 * 17 = 6409"], "final_answer": "6409", "answer_type": "integer", "kind": "expression", "math_text": "(-7 + 384) * 17", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 384, \"c\": 17}", "seed": "5371510664507103295", "semantic_fingerprint": "sha256:bdb227c4b84c508f92f5d22008bb91df2327dbae4e60f8d774b1a79d11c1b93e", "generator_version": "3.0"}
{"id": "v3_test_id_00005820", "prompt": "Calculate: -30 + (-8) + (-41)", "solution_steps": ["Add: -30 + (-8) = -38", "Add: -38 + (-41) = -79"], "final_answer": "-79", "answer_type": "integer", "kind": "expression", "math_text": "-30 + (-8) + (-41)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": -8, \"c\": -41}", "seed": "7298444310685199258", "semantic_fingerprint": "sha256:0ba86b5d51e6f218c616ffceaea18ce087c36ce4534ef754b7f43e22d4cb4116", "generator_version": "3.0"}
{"id": "v3_test_id_00005821", "prompt": "Solve the equation x + 6 = -3(x - 7) for x.", "solution_steps": ["Expand: x + 6 = -3x + 21", "Add 3x to both sides: 4x + 6 = 21", "Subtract 6 from both sides: 4x = 15", "Divide both sides by 4: x = 15/4"], "final_answer": "15/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 6 = -3(x - 7)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -3, \"c\": 7}", "seed": "2213140581933745812", "semantic_fingerprint": "sha256:eefefd8a76a892ffa63b9ea84f60c6e28d9efdd48a5cd76c05ff505645f48b4a", "generator_version": "3.0"}
{"id": "v3_test_id_00005822", "prompt": "What is 105 - 2 * (-59) - 6 + (656 + (-2))?", "solution_steps": ["Multiply: 2 * (-59) = -118", "Subtract: 105 - (-118) = 223", "Subtract: 223 - 6 = 217", "Add: 656 + (-2) = 654", "Add: 217 + 654 = 871"], "final_answer": "871", "answer_type": "integer", "kind": "expression", "math_text": "105 - 2 * (-59) - 6 + (656 + (-2))", "variable": null, "family": "expression_5op", "shape": "(+ (- (- n (* n n)) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 105, \"b\": 2, \"c\": -59, \"d\": 6, \"e\": 656, \"f\": -2}", "seed": "14803130519601566756", "semantic_fingerprint": "sha256:6846f9c1ea3ace42162fcb94f4c6a9e746a804a6bc19110c4de64fb8a1d5ed02", "generator_version": "3.0"}
{"id": "v3_test_id_00005823", "prompt": "What value of x satisfies -11(x - 46) - 65 = 9x + 621?", "solution_steps": ["Expand: -11x + 506 - 65 = 9x + 621", "Combine constants: -11x + 441 = 9x + 621", "Subtract 9x from both sides: -20x + 441 = 621", "Subtract 441 from both sides: -20x = 180", "Divide both sides by -20: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 46) - 65 = 9x + 621", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 46, \"c\": 65, \"d\": 9, \"f\": 621, \"x\": -9}", "seed": "4124082281367996981", "semantic_fingerprint": "sha256:b98dccfdf9596484933c4caa5533497b20f10171f7c5c624fa353a6732d9c013", "generator_version": "3.0"}
{"id": "v3_test_id_00005824", "prompt": "Calculate: -5 - (-833) - (-9 + (-37)) + (-9)", "solution_steps": ["Subtract: -5 - (-833) = 828", "Add: -9 + (-37) = -46", "Subtract: 828 - (-46) = 874", "Add: 874 + (-9) = 865"], "final_answer": "865", "answer_type": "integer", "kind": "expression", "math_text": "-5 - (-833) - (-9 + (-37)) + (-9)", "variable": null, "family": "expression_4op", "shape": "(+ (- (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -833, \"c\": -9, \"d\": -37, \"e\": -9}", "seed": "14213246717075055905", "semantic_fingerprint": "sha256:f07b95416b8eb474c59a8b001444edc08a008e8e7950005f94b9d452d762afb7", "generator_version": "3.0"}
{"id": "v3_test_id_00005825", "prompt": "Evaluate: 146 / (6 * (297 + (-16)) + 1)", "solution_steps": ["Add: 297 + (-16) = 281", "Multiply: 6 * 281 = 1686", "Add: 1686 + 1 = 1687", "Divide: 146 / 1687 = 146/1687"], "final_answer": "146/1687", "answer_type": "rational", "kind": "expression", "math_text": "146 / (6 * (297 + (-16)) + 1)", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (* n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 146, \"b\": 6, \"c\": 297, \"d\": -16, \"e\": 1}", "seed": "4848249583377384764", "semantic_fingerprint": "sha256:5bbece9f6c9fd2681f26d6c08cf014729d514b026fd92976518307ecebe53d3b", "generator_version": "3.0"}
{"id": "v3_test_id_00005826", "prompt": "Calculate: (-88 - 6) * ((19 - (-39)) / (-64))", "solution_steps": ["Subtract: -88 - 6 = -94", "Subtract: 19 - (-39) = 58", "Divide: 58 / (-64) = -29/32", "Multiply: -94 * (-29/32) = 1363/16"], "final_answer": "1363/16", "answer_type": "rational", "kind": "expression", "math_text": "(-88 - 6) * ((19 - (-39)) / (-64))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": 6, \"c\": 19, \"d\": -39, \"e\": -64}", "seed": "15682461550381443842", "semantic_fingerprint": "sha256:844016ef52683734bd502a1d7e18f0a79ee2957f8d3cc87d98618c218b1a9fc1", "generator_version": "3.0"}
{"id": "v3_test_id_00005827", "prompt": "Evaluate: 0 - (25 + (-7))", "solution_steps": ["Add: 25 + (-7) = 18", "Subtract: 0 - 18 = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "expression", "math_text": "0 - (25 + (-7))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 25, \"c\": -7}", "seed": "6368942595549729256", "semantic_fingerprint": "sha256:b5c639b6e5b55bec3c58aaeb2346d848cb5f13c15c2f58c0b1536b95248d2fb3", "generator_version": "3.0"}
{"id": "v3_test_id_00005828", "prompt": "What is 81 - (-8 - (-87)) + (-320) + (-47)?", "solution_steps": ["Subtract: -8 - (-87) = 79", "Subtract: 81 - 79 = 2", "Add: 2 + (-320) = -318", "Add: -318 + (-47) = -365"], "final_answer": "-365", "answer_type": "integer", "kind": "expression", "math_text": "81 - (-8 - (-87)) + (-320) + (-47)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 81, \"b\": -8, \"c\": -87, \"d\": -320, \"e\": -47}", "seed": "13331305986475676198", "semantic_fingerprint": "sha256:b27b6c7998e0febd9d65d529cbdd9f71b16c6bfab27b786350389c6d48cfd437", "generator_version": "3.0"}
{"id": "v3_test_id_00005829", "prompt": "Calculate: -36 + 7 * 26 * (-29)", "solution_steps": ["Multiply: 7 * 26 = 182", "Multiply: 182 * (-29) = -5278", "Add: -36 + (-5278) = -5314"], "final_answer": "-5314", "answer_type": "integer", "kind": "expression", "math_text": "-36 + 7 * 26 * (-29)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": 7, \"c\": 26, \"d\": -29}", "seed": "6278991165942940696", "semantic_fingerprint": "sha256:6c3342b2ad2abedf56417694eb9cb4bc41085005e4c5f8e5bf8c58c2144b46ab", "generator_version": "3.0"}
{"id": "v3_test_id_00005830", "prompt": "Solve for x: 3x - 3 = 2(x + 43) - 75", "solution_steps": ["Expand: 3x - 3 = 2x + 86 - 75", "Combine constants: 3x - 3 = 2x + 11", "Subtract 2x from both sides: x - 3 = 11", "Add 3 to both sides: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 3 = 2(x + 43) - 75", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 3, \"c\": 2, \"d\": 43, \"f\": -75, \"x\": 14}", "seed": "16459281679968193761", "semantic_fingerprint": "sha256:a567754c498b1ed72ab7bf190b3f3f1b1e4b127b1186d8c993e4043a3fb87738", "generator_version": "3.0"}
{"id": "v3_test_id_00005831", "prompt": "Solve for x: x - 382 = -4(x + 88)", "solution_steps": ["Expand: x - 382 = -4x - 352", "Add 4x to both sides: 5x - 382 = -352", "Add 382 to both sides: 5x = 30", "Divide both sides by 5: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 382 = -4(x + 88)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 88, \"d\": -382, \"x\": 6}", "seed": "16583827933908259533", "semantic_fingerprint": "sha256:9826c3f23d320236be43456355efb2b2ea6c5ac44f116c5327d1b64dd93666ae", "generator_version": "3.0"}
{"id": "v3_test_id_00005832", "prompt": "Calculate: -558 * (-26) / (31 / (-7))", "solution_steps": ["Multiply: -558 * (-26) = 14508", "Divide: 31 / (-7) = -31/7", "Divide: 14508 / (-31/7) = -3276"], "final_answer": "-3276", "answer_type": "integer", "kind": "expression", "math_text": "-558 * (-26) / (31 / (-7))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -558, \"b\": -26, \"c\": 31, \"d\": -7}", "seed": "11376217737433499932", "semantic_fingerprint": "sha256:a81ae0fa05bc1e8a65a6ae35423f37ace56428557437a1d66a78b96e72f6ecd4", "generator_version": "3.0"}
{"id": "v3_test_id_00005833", "prompt": "Compute: 388 * 4 * (-17) - (-49) / 3", "solution_steps": ["Multiply: 388 * 4 = 1552", "Multiply: 1552 * (-17) = -26384", "Divide: -49 / 3 = -49/3", "Subtract: -26384 - (-49/3) = -79103/3"], "final_answer": "-79103/3", "answer_type": "rational", "kind": "expression", "math_text": "388 * 4 * (-17) - (-49) / 3", "variable": null, "family": "expression_4op", "shape": "(- (* (* n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 388, \"b\": 4, \"c\": -17, \"d\": -49, \"e\": 3}", "seed": "7166346311811694146", "semantic_fingerprint": "sha256:2ebf4f66084503d0989be5e55f9c2fdde61e96d359ded7b610d8ce049bdaa886", "generator_version": "3.0"}
{"id": "v3_test_id_00005834", "prompt": "Compute: -5 / (-56 * (-33)) * (-12 + 696 * (-204))", "solution_steps": ["Multiply: -56 * (-33) = 1848", "Divide: -5 / 1848 = -5/1848", "Multiply: 696 * (-204) = -141984", "Add: -12 + (-141984) = -141996", "Multiply: (-5/1848) * (-141996) = 59165/154"], "final_answer": "59165/154", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-56 * (-33)) * (-12 + 696 * (-204))", "variable": null, "family": "expression_5op", "shape": "(* (/ n (* n n)) (+ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -56, \"c\": -33, \"d\": -12, \"e\": 696, \"f\": -204}", "seed": "549982947922849817", "semantic_fingerprint": "sha256:76eaae39a2c4431c9b69301808f25fc7c14f021ab5ebc5d853750d94ccf50e7e", "generator_version": "3.0"}
{"id": "v3_test_id_00005835", "prompt": "Find x: x = -12(x - 3)", "solution_steps": ["Expand: x = -12x + 36", "Add 12x to both sides: 13x = 36", "Divide both sides by 13: x = 36/13"], "final_answer": "36/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -12(x - 3)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 3}", "seed": "18289473914632574295", "semantic_fingerprint": "sha256:5075b163b59cc582783ce1a4ac77158a3bcfbebbbf0b55f50753a37926a13602", "generator_version": "3.0"}
{"id": "v3_test_id_00005836", "prompt": "Solve the equation 7(x + 165) + 38 = 5(x + 3) for x.", "solution_steps": ["Expand: 7x + 1155 + 38 = 5(x + 3)", "Expand: 7x + 1155 + 38 = 5x + 15", "Combine constants: 7x + 1193 = 5x + 15", "Subtract 5x from both sides: 2x + 1193 = 15", "Subtract 1193 from both sides: 2x = -1178", "Divide both sides by 2: x = -589"], "final_answer": "-589", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 165) + 38 = 5(x + 3)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 165, \"c\": 38, \"d\": 5, \"e\": 3}", "seed": "4041785236796137699", "semantic_fingerprint": "sha256:8805044aa0a774871d49d135ec338887b085116b601a647c493c150715f00626", "generator_version": "3.0"}
{"id": "v3_test_id_00005837", "prompt": "What is -20 - 79?", "solution_steps": ["Subtract: -20 - 79 = -99"], "final_answer": "-99", "answer_type": "integer", "kind": "expression", "math_text": "-20 - 79", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": 79}", "seed": "4964570696295885349", "semantic_fingerprint": "sha256:e48279bedb533b1480d35241158085044d9d445dcc882507a11817a4d5e56e8b", "generator_version": "3.0"}
{"id": "v3_test_id_00005838", "prompt": "Evaluate: -8 * (69 - (-6 - (-7)))", "solution_steps": ["Subtract: -6 - (-7) = 1", "Subtract: 69 - 1 = 68", "Multiply: -8 * 68 = -544"], "final_answer": "-544", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (69 - (-6 - (-7)))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 69, \"c\": -6, \"d\": -7}", "seed": "8538540885332836640", "semantic_fingerprint": "sha256:57869b849710b5911c49cd53cd00248cdb86da9aad6c4287fe9a7e6a8f88fea0", "generator_version": "3.0"}
{"id": "v3_test_id_00005839", "prompt": "Compute: (-320 + 41) / (-657)", "solution_steps": ["Add: -320 + 41 = -279", "Divide: -279 / (-657) = 31/73"], "final_answer": "31/73", "answer_type": "rational", "kind": "expression", "math_text": "(-320 + 41) / (-657)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -320, \"b\": 41, \"c\": -657}", "seed": "15535461004176198436", "semantic_fingerprint": "sha256:b47e9eb3ee99ac6d7266d8a92604d6f8e2bfa3d4514590e2e8d8e621f452aeb3", "generator_version": "3.0"}
{"id": "v3_test_id_00005840", "prompt": "Solve the equation 9(x + 8) = x + 94 for x.", "solution_steps": ["Expand: 9x + 72 = x + 94", "Subtract x from both sides: 8x + 72 = 94", "Subtract 72 from both sides: 8x = 22", "Divide both sides by 8: x = 11/4"], "final_answer": "11/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 8) = x + 94", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": 94}", "seed": "8802520850203864656", "semantic_fingerprint": "sha256:1b048a3b3017581bc300d3c6d4d0b358b1f76ffdb1ddfd2d280808455d983adb", "generator_version": "3.0"}
{"id": "v3_test_id_00005841", "prompt": "Find x: -5(x + 913) - 785 = x", "solution_steps": ["Expand: -5x - 4565 - 785 = x", "Combine constants: -5x - 5350 = x", "Subtract x from both sides: -6x - 5350 = 0", "Add 5350 to both sides: -6x = 5350", "Divide both sides by -6: x = -2675/3"], "final_answer": "-2675/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x + 913) - 785 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 913, \"c\": 785}", "seed": "589623195719491088", "semantic_fingerprint": "sha256:146ea7062a2fba9a37b1452ef8e2daf73ac9542735994c33992b2896acc3ac8a", "generator_version": "3.0"}
{"id": "v3_test_id_00005842", "prompt": "Evaluate: -914 - (8 + 497)", "solution_steps": ["Add: 8 + 497 = 505", "Subtract: -914 - 505 = -1419"], "final_answer": "-1419", "answer_type": "integer", "kind": "expression", "math_text": "-914 - (8 + 497)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -914, \"b\": 8, \"c\": 497}", "seed": "9853754134571344059", "semantic_fingerprint": "sha256:732ec62257a8770fd293d499a08d22ca0dd6894d327adb54287d473d69cb7340", "generator_version": "3.0"}
{"id": "v3_test_id_00005843", "prompt": "Compute: -20 + (109 + (-76))", "solution_steps": ["Add: 109 + (-76) = 33", "Add: -20 + 33 = 13"], "final_answer": "13", "answer_type": "integer", "kind": "expression", "math_text": "-20 + (109 + (-76))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": 109, \"c\": -76}", "seed": "3405276070909409825", "semantic_fingerprint": "sha256:b7c9f435c337c06a9eef603095dcb5421caa470069d43ef85955cf23faf59126", "generator_version": "3.0"}
{"id": "v3_test_id_00005844", "prompt": "Evaluate: (-960 - (-1 - 1 - (-298))) * (1 + 96)", "solution_steps": ["Subtract: -1 - 1 = -2", "Subtract: -2 - (-298) = 296", "Subtract: -960 - 296 = -1256", "Add: 1 + 96 = 97", "Multiply: -1256 * 97 = -121832"], "final_answer": "-121832", "answer_type": "integer", "kind": "expression", "math_text": "(-960 - (-1 - 1 - (-298))) * (1 + 96)", "variable": null, "family": "expression_5op", "shape": "(* (- n (- (- n n) n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -960, \"b\": -1, \"c\": 1, \"d\": -298, \"e\": 1, \"f\": 96}", "seed": "11533349166914765777", "semantic_fingerprint": "sha256:a4e3861158b1532e1e480fa190d923915657ade9395b2d3aaf33902140da96e9", "generator_version": "3.0"}
{"id": "v3_test_id_00005845", "prompt": "Solve the equation -9(x - 20) = -3x + 78 for x.", "solution_steps": ["Expand: -9x + 180 = -3x + 78", "Add 3x to both sides: -6x + 180 = 78", "Subtract 180 from both sides: -6x = -102", "Divide both sides by -6: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 20) = -3x + 78", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 20, \"c\": -3, \"e\": 78, \"x\": 17}", "seed": "15082927975696751696", "semantic_fingerprint": "sha256:107789ede338f52e1eae8be545d04298ab1c082ee43705f7a341a1acfa05e682", "generator_version": "3.0"}
{"id": "v3_test_id_00005846", "prompt": "What is (-51 + 0 * 9) / (-43 * (-201) - (-8))?", "solution_steps": ["Multiply: 0 * 9 = 0", "Add: -51 + 0 = -51", "Multiply: -43 * (-201) = 8643", "Subtract: 8643 - (-8) = 8651", "Divide: -51 / 8651 = -51/8651"], "final_answer": "-51/8651", "answer_type": "rational", "kind": "expression", "math_text": "(-51 + 0 * 9) / (-43 * (-201) - (-8))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (* n n)) (- (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": 0, \"c\": 9, \"d\": -43, \"e\": -201, \"f\": -8}", "seed": "17528065493591192741", "semantic_fingerprint": "sha256:38cf4117422114c980f8e74aae18e5754553afba232b9450371e4c667348e794", "generator_version": "3.0"}
{"id": "v3_test_id_00005847", "prompt": "Evaluate: (-1 + (-29)) / 65", "solution_steps": ["Add: -1 + (-29) = -30", "Divide: -30 / 65 = -6/13"], "final_answer": "-6/13", "answer_type": "rational", "kind": "expression", "math_text": "(-1 + (-29)) / 65", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -29, \"c\": 65}", "seed": "8429709205698828208", "semantic_fingerprint": "sha256:6ee3ab8c975ea485a0d80810e684f40d2735c50649bd66d7a79faed5640c86d6", "generator_version": "3.0"}
{"id": "v3_test_id_00005848", "prompt": "Evaluate: (341 - (-6)) / 22", "solution_steps": ["Subtract: 341 - (-6) = 347", "Divide: 347 / 22 = 347/22"], "final_answer": "347/22", "answer_type": "rational", "kind": "expression", "math_text": "(341 - (-6)) / 22", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 341, \"b\": -6, \"c\": 22}", "seed": "14284633550960706221", "semantic_fingerprint": "sha256:09ecd0bf331c446b2ba1c160052c843208ac987fa1141d7d6c58abca4eed93e4", "generator_version": "3.0"}
{"id": "v3_test_id_00005849", "prompt": "What is 1 - (-174) + (-1 - (-20))?", "solution_steps": ["Subtract: 1 - (-174) = 175", "Subtract: -1 - (-20) = 19", "Add: 175 + 19 = 194"], "final_answer": "194", "answer_type": "integer", "kind": "expression", "math_text": "1 - (-174) + (-1 - (-20))", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -174, \"c\": -1, \"d\": -20}", "seed": "16631939133962627688", "semantic_fingerprint": "sha256:f3a9ccfe25b87c5ee850fc99a0ae1a71f1cea86cad61d8782a5ce0e105a53092", "generator_version": "3.0"}
{"id": "v3_test_id_00005850", "prompt": "Evaluate: 0 / 1 * 414 * 564", "solution_steps": ["Divide: 0 / 1 = 0", "Multiply: 0 * 414 = 0", "Multiply: 0 * 564 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / 1 * 414 * 564", "variable": null, "family": "expression_3op", "shape": "(* (* (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 1, \"c\": 414, \"d\": 564}", "seed": "5652887373633198916", "semantic_fingerprint": "sha256:b77870d8bca61f99f253860e0be5b86f4a9e30073d62618e14bbad0abea6d78f", "generator_version": "3.0"}
{"id": "v3_test_id_00005851", "prompt": "Solve the equation 8x = 6(x - 928) for x.", "solution_steps": ["Expand: 8x = 6x - 5568", "Subtract 6x from both sides: 2x = -5568", "Divide both sides by 2: x = -2784"], "final_answer": "-2784", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = 6(x - 928)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 6, \"c\": 928}", "seed": "5169838309970194693", "semantic_fingerprint": "sha256:22c5d1a76e26de1a6d6fc2cb8f7c48f2c775718aeb47a76509139b6549931d91", "generator_version": "3.0"}
{"id": "v3_test_id_00005852", "prompt": "Calculate: 305 - (-28 - 6 * (-57)) + 69", "solution_steps": ["Multiply: 6 * (-57) = -342", "Subtract: -28 - (-342) = 314", "Subtract: 305 - 314 = -9", "Add: -9 + 69 = 60"], "final_answer": "60", "answer_type": "integer", "kind": "expression", "math_text": "305 - (-28 - 6 * (-57)) + 69", "variable": null, "family": "expression_4op", "shape": "(+ (- n (- n (* n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 305, \"b\": -28, \"c\": 6, \"d\": -57, \"e\": 69}", "seed": "1315725386010897817", "semantic_fingerprint": "sha256:142bb08389b384e7a14f98c95e98460f9d29640865b068b6e5ee1d7c495abe7d", "generator_version": "3.0"}
{"id": "v3_test_id_00005853", "prompt": "Compute: -172 / (-24 / (-29))", "solution_steps": ["Divide: -24 / (-29) = 24/29", "Divide: -172 / (24/29) = -1247/6"], "final_answer": "-1247/6", "answer_type": "rational", "kind": "expression", "math_text": "-172 / (-24 / (-29))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -172, \"b\": -24, \"c\": -29}", "seed": "559397778170354947", "semantic_fingerprint": "sha256:9ebbeb3f2414eebf4505aba2d29ccdee3111fb13d650405f9df2f03f843a62d3", "generator_version": "3.0"}
{"id": "v3_test_id_00005854", "prompt": "Evaluate: (-29 / (-50) - (-91 - (98 + 48))) * 48", "solution_steps": ["Divide: -29 / (-50) = 29/50", "Add: 98 + 48 = 146", "Subtract: -91 - 146 = -237", "Subtract: 29/50 - (-237) = 11879/50", "Multiply: (11879/50) * 48 = 285096/25"], "final_answer": "285096/25", "answer_type": "rational", "kind": "expression", "math_text": "(-29 / (-50) - (-91 - (98 + 48))) * 48", "variable": null, "family": "expression_5op", "shape": "(* (- (/ n n) (- n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": -50, \"c\": -91, \"d\": 98, \"e\": 48, \"f\": 48}", "seed": "13339948520272818742", "semantic_fingerprint": "sha256:b7b8f5e187bb6cff7f2dc0478eb63653d7ea82a1432fdd768035b96cd9853cda", "generator_version": "3.0"}
{"id": "v3_test_id_00005855", "prompt": "Calculate: 94 * 49", "solution_steps": ["Multiply: 94 * 49 = 4606"], "final_answer": "4606", "answer_type": "integer", "kind": "expression", "math_text": "94 * 49", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 94, \"b\": 49}", "seed": "12614777972595691371", "semantic_fingerprint": "sha256:ac36896e165d9b83f522ceaa4c317a9b4611429a2a72615e3bfed6479836f867", "generator_version": "3.0"}
{"id": "v3_test_id_00005856", "prompt": "What is (-8 - 515) / 68?", "solution_steps": ["Subtract: -8 - 515 = -523", "Divide: -523 / 68 = -523/68"], "final_answer": "-523/68", "answer_type": "rational", "kind": "expression", "math_text": "(-8 - 515) / 68", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 515, \"c\": 68}", "seed": "6944697686625415105", "semantic_fingerprint": "sha256:eb577fe9393ce9c8710d3fe2fa67dc40431ff91cecc8eaf3e1c80a6aa728ab02", "generator_version": "3.0"}
{"id": "v3_test_id_00005857", "prompt": "Solve the equation 10x + 144 = x for x.", "solution_steps": ["Subtract x from both sides: 9x + 144 = 0", "Subtract 144 from both sides: 9x = -144", "Divide both sides by 9: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x + 144 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"c\": 144, \"x\": -16}", "seed": "8953758290145879839", "semantic_fingerprint": "sha256:2f9c1d0daad4b9dc237282a5d17b61bac7b36579c7c47da9f6e1f1d8a2f1c1d2", "generator_version": "3.0"}
{"id": "v3_test_id_00005858", "prompt": "Calculate: -67 * (-77)", "solution_steps": ["Multiply: -67 * (-77) = 5159"], "final_answer": "5159", "answer_type": "integer", "kind": "expression", "math_text": "-67 * (-77)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": -77}", "seed": "5312890060153757980", "semantic_fingerprint": "sha256:74445d51b7214c796e13aaff0a787755fcd1a82a166a4260fe3b875904b97c6c", "generator_version": "3.0"}
{"id": "v3_test_id_00005859", "prompt": "Compute: 38 * (9 + (-43))", "solution_steps": ["Add: 9 + (-43) = -34", "Multiply: 38 * (-34) = -1292"], "final_answer": "-1292", "answer_type": "integer", "kind": "expression", "math_text": "38 * (9 + (-43))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 38, \"b\": 9, \"c\": -43}", "seed": "1441618910980927187", "semantic_fingerprint": "sha256:546bfe873d0da8b3e7f762ad16418587c9bc81d9a32ef3053597f5ad1b5f30a6", "generator_version": "3.0"}
{"id": "v3_test_id_00005860", "prompt": "Solve the equation -7(x + 91) + 592 = 8x for x.", "solution_steps": ["Expand: -7x - 637 + 592 = 8x", "Combine constants: -7x - 45 = 8x", "Subtract 8x from both sides: -15x - 45 = 0", "Add 45 to both sides: -15x = 45", "Divide both sides by -15: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 91) + 592 = 8x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 91, \"c\": 8, \"e\": 592, \"x\": -3}", "seed": "17828883021241698676", "semantic_fingerprint": "sha256:b3d16fa32e697e0c969436f4bf3338076f47d85a95ff5b3e19b332b90284cf2b", "generator_version": "3.0"}
{"id": "v3_test_id_00005861", "prompt": "Find x: x - 11 = 12x", "solution_steps": ["Subtract 12x from both sides: -11x - 11 = 0", "Add 11 to both sides: -11x = 11", "Divide both sides by -11: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 11 = 12x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"c\": -11, \"x\": -1}", "seed": "9005614801656075092", "semantic_fingerprint": "sha256:9d649c8339c90b96643cb0faa86440619aacc2fc36d8f284f15bbd98df1c6cb8", "generator_version": "3.0"}
{"id": "v3_test_id_00005862", "prompt": "Compute: 944 * ((133 - 71 - 2) * (-6))", "solution_steps": ["Subtract: 133 - 71 = 62", "Subtract: 62 - 2 = 60", "Multiply: 60 * (-6) = -360", "Multiply: 944 * (-360) = -339840"], "final_answer": "-339840", "answer_type": "integer", "kind": "expression", "math_text": "944 * ((133 - 71 - 2) * (-6))", "variable": null, "family": "expression_4op", "shape": "(* n (* (- (- n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 944, \"b\": 133, \"c\": 71, \"d\": 2, \"e\": -6}", "seed": "15694914664500379145", "semantic_fingerprint": "sha256:074c4feca675249a15edcffc239e9d686f83f309121f8041bd8c5393a6707675", "generator_version": "3.0"}
{"id": "v3_test_id_00005863", "prompt": "What is 95 * 554 / (-973) + (-93)?", "solution_steps": ["Multiply: 95 * 554 = 52630", "Divide: 52630 / (-973) = -52630/973", "Add: -52630/973 + (-93) = -143119/973"], "final_answer": "-143119/973", "answer_type": "rational", "kind": "expression", "math_text": "95 * 554 / (-973) + (-93)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": 554, \"c\": -973, \"d\": -93}", "seed": "1307153188933683836", "semantic_fingerprint": "sha256:bef5f6e93cb05c45fcd8565cb3f42d9ab87eef2d096c54f652ed4f1fdcc35614", "generator_version": "3.0"}
{"id": "v3_test_id_00005864", "prompt": "Find x: x - 98 = 5(x + 45) - 2", "solution_steps": ["Expand: x - 98 = 5x + 225 - 2", "Combine constants: x - 98 = 5x + 223", "Subtract 5x from both sides: -4x - 98 = 223", "Add 98 to both sides: -4x = 321", "Divide both sides by -4: x = -321/4"], "final_answer": "-321/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 98 = 5(x + 45) - 2", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 98, \"b\": 5, \"c\": 45, \"d\": 2}", "seed": "16054042345380351351", "semantic_fingerprint": "sha256:3cbe3a757f0b048c6288d504fc8d5ae452fc02a8962a454676fa4d6408bae92e", "generator_version": "3.0"}
{"id": "v3_test_id_00005865", "prompt": "Solve the equation -9x + 986 = 11(x - 340) for x.", "solution_steps": ["Expand: -9x + 986 = 11x - 3740", "Subtract 11x from both sides: -20x + 986 = -3740", "Subtract 986 from both sides: -20x = -4726", "Divide both sides by -20: x = 2363/10"], "final_answer": "2363/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9x + 986 = 11(x - 340)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 986, \"c\": 11, \"d\": 340}", "seed": "5418830094416056162", "semantic_fingerprint": "sha256:7b928936fcb4343883b4aa3e38d94810905e8e126d4d8b98da5e7ea46c7ec64b", "generator_version": "3.0"}
{"id": "v3_test_id_00005866", "prompt": "Compute: -23 * (-2) + 50", "solution_steps": ["Multiply: -23 * (-2) = 46", "Add: 46 + 50 = 96"], "final_answer": "96", "answer_type": "integer", "kind": "expression", "math_text": "-23 * (-2) + 50", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": -2, \"c\": 50}", "seed": "9123161387250435607", "semantic_fingerprint": "sha256:0571d37405e3c7c5fac478d850b419a7d23202b194d91387ab7f95c00124e652", "generator_version": "3.0"}
{"id": "v3_test_id_00005867", "prompt": "Find x: x = 9(x + 43)", "solution_steps": ["Expand: x = 9x + 387", "Subtract 9x from both sides: -8x = 387", "Divide both sides by -8: x = -387/8"], "final_answer": "-387/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 9(x + 43)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 43}", "seed": "15845209639516605130", "semantic_fingerprint": "sha256:c43ded257d8d5b7f0ef9fd91cf17050b11dddfde5c0358e2494df43a329d596d", "generator_version": "3.0"}
{"id": "v3_test_id_00005868", "prompt": "Find x: 3x = 12x + 277", "solution_steps": ["Subtract 12x from both sides: -9x = 277", "Divide both sides by -9: x = -277/9"], "final_answer": "-277/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "3x = 12x + 277", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 12, \"c\": 277}", "seed": "15792759895230355476", "semantic_fingerprint": "sha256:ddeb5421cb965687474f841a63680e2c8a4f6a0f4bcd862f9924bf27df80254b", "generator_version": "3.0"}
{"id": "v3_test_id_00005869", "prompt": "Evaluate: (-8 + (-73) * (-1)) * 8", "solution_steps": ["Multiply: -73 * (-1) = 73", "Add: -8 + 73 = 65", "Multiply: 65 * 8 = 520"], "final_answer": "520", "answer_type": "integer", "kind": "expression", "math_text": "(-8 + (-73) * (-1)) * 8", "variable": null, "family": "expression_3op", "shape": "(* (+ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -73, \"c\": -1, \"d\": 8}", "seed": "16294109007938158014", "semantic_fingerprint": "sha256:e5d52d1d7d45f5939ba635a7d19fce22ec58c72acf2fb0843303b4b3df2783ff", "generator_version": "3.0"}
{"id": "v3_test_id_00005870", "prompt": "Calculate: 817 + (46 + 25)", "solution_steps": ["Add: 46 + 25 = 71", "Add: 817 + 71 = 888"], "final_answer": "888", "answer_type": "integer", "kind": "expression", "math_text": "817 + (46 + 25)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 817, \"b\": 46, \"c\": 25}", "seed": "497694116872941229", "semantic_fingerprint": "sha256:db5122747254efa1fee1de5368fa0cbad44dafca838dcef37d8b97e8ca65c0d9", "generator_version": "3.0"}
{"id": "v3_test_id_00005871", "prompt": "Calculate: -275 / (-52 + (-7) * 90)", "solution_steps": ["Multiply: -7 * 90 = -630", "Add: -52 + (-630) = -682", "Divide: -275 / (-682) = 25/62"], "final_answer": "25/62", "answer_type": "rational", "kind": "expression", "math_text": "-275 / (-52 + (-7) * 90)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -275, \"b\": -52, \"c\": -7, \"d\": 90}", "seed": "4482908019829801364", "semantic_fingerprint": "sha256:5ec2e576ab034c5956e85f4736806dd8144834ab2e15602e6a42ed5574fe8ce2", "generator_version": "3.0"}
{"id": "v3_test_id_00005872", "prompt": "Find x: 8x + 59 = x + 32", "solution_steps": ["Subtract x from both sides: 7x + 59 = 32", "Subtract 59 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": "8x + 59 = x + 32", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 59, \"c\": 32}", "seed": "8487548321749827823", "semantic_fingerprint": "sha256:d90aee77dc24743a2e3b142af74604bb808ad96730f44b7750f86ad881f377b4", "generator_version": "3.0"}
{"id": "v3_test_id_00005873", "prompt": "Find x: 5(x - 19) + 65 = x - 90", "solution_steps": ["Expand: 5x - 95 + 65 = x - 90", "Combine constants: 5x - 30 = x - 90", "Subtract x from both sides: 4x - 30 = -90", "Add 30 to both sides: 4x = -60", "Divide both sides by 4: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 19) + 65 = x - 90", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 19, \"c\": 65, \"e\": -90, \"x\": -15}", "seed": "5222043781705537509", "semantic_fingerprint": "sha256:3d18666cbf638a49eaff65243985c182e88ff070610642b5a1beb3f327a735bf", "generator_version": "3.0"}
{"id": "v3_test_id_00005874", "prompt": "Find x: 2(x - 3) + 5 = 4x", "solution_steps": ["Expand: 2x - 6 + 5 = 4x", "Combine constants: 2x - 1 = 4x", "Subtract 4x from both sides: -2x - 1 = 0", "Add 1 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": "2(x - 3) + 5 = 4x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": 5, \"d\": 4}", "seed": "3893951667558600035", "semantic_fingerprint": "sha256:f7ad59b1d86b4ebff253f2c65a011fb8dd8c508f7a2f218cd044860b721e5dff", "generator_version": "3.0"}
{"id": "v3_test_id_00005875", "prompt": "Calculate: -94 - (83 - (97 - (-2 + 6)))", "solution_steps": ["Add: -2 + 6 = 4", "Subtract: 97 - 4 = 93", "Subtract: 83 - 93 = -10", "Subtract: -94 - (-10) = -84"], "final_answer": "-84", "answer_type": "integer", "kind": "expression", "math_text": "-94 - (83 - (97 - (-2 + 6)))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (- n (+ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -94, \"b\": 83, \"c\": 97, \"d\": -2, \"e\": 6}", "seed": "12252696026978175774", "semantic_fingerprint": "sha256:27cfc0c5969fafdb1c15d8dc53c067156f0c85cc5a4d10a54bc001c0f64a5ac8", "generator_version": "3.0"}
{"id": "v3_test_id_00005876", "prompt": "What is -69 * (2 * 216 / (-1 + 66))?", "solution_steps": ["Multiply: 2 * 216 = 432", "Add: -1 + 66 = 65", "Divide: 432 / 65 = 432/65", "Multiply: -69 * (432/65) = -29808/65"], "final_answer": "-29808/65", "answer_type": "rational", "kind": "expression", "math_text": "-69 * (2 * 216 / (-1 + 66))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (* n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": 2, \"c\": 216, \"d\": -1, \"e\": 66}", "seed": "17708832328925070208", "semantic_fingerprint": "sha256:9e296a918589a29498c3886d9dea86690219643d047af934054d3b3c2fb15498", "generator_version": "3.0"}
{"id": "v3_test_id_00005877", "prompt": "Solve the equation 8x - 87 = 6(x + 91) for x.", "solution_steps": ["Expand: 8x - 87 = 6x + 546", "Subtract 6x from both sides: 2x - 87 = 546", "Add 87 to both sides: 2x = 633", "Divide both sides by 2: x = 633/2"], "final_answer": "633/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "8x - 87 = 6(x + 91)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 87, \"c\": 6, \"d\": 91}", "seed": "12624841759723150595", "semantic_fingerprint": "sha256:09b018308a8f09f2d2c9adb8c8cb2e82b33a7fc7f696e48380d0bac077db269c", "generator_version": "3.0"}
{"id": "v3_test_id_00005878", "prompt": "Calculate: (-624 + (-24 - 3)) / (76 - 32)", "solution_steps": ["Subtract: -24 - 3 = -27", "Add: -624 + (-27) = -651", "Subtract: 76 - 32 = 44", "Divide: -651 / 44 = -651/44"], "final_answer": "-651/44", "answer_type": "rational", "kind": "expression", "math_text": "(-624 + (-24 - 3)) / (76 - 32)", "variable": null, "family": "expression_4op", "shape": "(/ (+ n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -624, \"b\": -24, \"c\": 3, \"d\": 76, \"e\": 32}", "seed": "17647566509206408248", "semantic_fingerprint": "sha256:451be5d6fca710fbebeb982eec02dbda81db5b84cd7bd77be08e2743ff6f3fbc", "generator_version": "3.0"}
{"id": "v3_test_id_00005879", "prompt": "What value of x satisfies -3x + 68 = x + 96?", "solution_steps": ["Subtract x from both sides: -4x + 68 = 96", "Subtract 68 from both sides: -4x = 28", "Divide both sides by -4: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x + 68 = x + 96", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 68, \"d\": 96, \"x\": -7}", "seed": "17942981454994303422", "semantic_fingerprint": "sha256:a2ab132fc4e0fc971dd7a552531b9fbc57410d53772a6a0897aead9ab9573e4f", "generator_version": "3.0"}
{"id": "v3_test_id_00005880", "prompt": "What is (-58 - 69) * 39 + (255 + 7 - (-260))?", "solution_steps": ["Subtract: -58 - 69 = -127", "Multiply: -127 * 39 = -4953", "Add: 255 + 7 = 262", "Subtract: 262 - (-260) = 522", "Add: -4953 + 522 = -4431"], "final_answer": "-4431", "answer_type": "integer", "kind": "expression", "math_text": "(-58 - 69) * 39 + (255 + 7 - (-260))", "variable": null, "family": "expression_5op", "shape": "(+ (* (- n n) n) (- (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": 69, \"c\": 39, \"d\": 255, \"e\": 7, \"f\": -260}", "seed": "4403648680884160937", "semantic_fingerprint": "sha256:fd4a761441bb8074f511e1d2adb015bfb66a17dcd73def2b70ddc94630e6e6fd", "generator_version": "3.0"}
{"id": "v3_test_id_00005881", "prompt": "Solve the equation x = 2(x - 79) for x.", "solution_steps": ["Expand: x = 2x - 158", "Subtract 2x from both sides: -x = -158", "Divide both sides by -1: x = 158"], "final_answer": "158", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 2(x - 79)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 79}", "seed": "14981651212885734743", "semantic_fingerprint": "sha256:6943213ad0d12ed3e43bb29d5aa8b0fc3c0b9721812bdf5ef6489f0aa0a3fe4d", "generator_version": "3.0"}
{"id": "v3_test_id_00005882", "prompt": "Calculate: -332 * (-31) - (-39) - 8", "solution_steps": ["Multiply: -332 * (-31) = 10292", "Subtract: 10292 - (-39) = 10331", "Subtract: 10331 - 8 = 10323"], "final_answer": "10323", "answer_type": "integer", "kind": "expression", "math_text": "-332 * (-31) - (-39) - 8", "variable": null, "family": "expression_3op", "shape": "(- (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -332, \"b\": -31, \"c\": -39, \"d\": 8}", "seed": "6162073210280765314", "semantic_fingerprint": "sha256:d8bd92a020b6fedc26bc376c4f82f86f68a8faf51bb4fa7c0d69639e7cc9405d", "generator_version": "3.0"}
{"id": "v3_test_id_00005883", "prompt": "Find x: 7x = -10(x + 43)", "solution_steps": ["Expand: 7x = -10x - 430", "Add 10x to both sides: 17x = -430", "Divide both sides by 17: x = -430/17"], "final_answer": "-430/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x = -10(x + 43)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -10, \"c\": 43}", "seed": "12967012268252164737", "semantic_fingerprint": "sha256:9024d64addc8ebd88f54a57d288812eac27f34da55df1dedd4d62d1866fbbb4a", "generator_version": "3.0"}
{"id": "v3_test_id_00005884", "prompt": "Solve the equation -4(x + 7) = x for x.", "solution_steps": ["Expand: -4x - 28 = x", "Subtract x from both sides: -5x - 28 = 0", "Add 28 to both sides: -5x = 28", "Divide both sides by -5: x = -28/5"], "final_answer": "-28/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 7) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 7}", "seed": "4389761440918518737", "semantic_fingerprint": "sha256:07995e6b114d4badb0b129f520389438a30f0fb4db2f6fb6fa7ec1eeeb0b10ee", "generator_version": "3.0"}
{"id": "v3_test_id_00005885", "prompt": "Calculate: 45 + (-8)", "solution_steps": ["Add: 45 + (-8) = 37"], "final_answer": "37", "answer_type": "integer", "kind": "expression", "math_text": "45 + (-8)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": -8}", "seed": "15286209406893094604", "semantic_fingerprint": "sha256:8055c6854799f31c98e1ca645e001f31cca6fa679f0596cf850f2f79c79c1df4", "generator_version": "3.0"}
{"id": "v3_test_id_00005886", "prompt": "Evaluate: -394 / (-35)", "solution_steps": ["Divide: -394 / (-35) = 394/35"], "final_answer": "394/35", "answer_type": "rational", "kind": "expression", "math_text": "-394 / (-35)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -394, \"b\": -35}", "seed": "15158934570814600879", "semantic_fingerprint": "sha256:c02761d79596317b190a3db2b31dfa435e8ae64296dee45d65647319536c700e", "generator_version": "3.0"}
{"id": "v3_test_id_00005887", "prompt": "What is -56 + 0 + (-77 * (-59) - (840 + (-52)))?", "solution_steps": ["Add: -56 + 0 = -56", "Multiply: -77 * (-59) = 4543", "Add: 840 + (-52) = 788", "Subtract: 4543 - 788 = 3755", "Add: -56 + 3755 = 3699"], "final_answer": "3699", "answer_type": "integer", "kind": "expression", "math_text": "-56 + 0 + (-77 * (-59) - (840 + (-52)))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (- (* n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -56, \"b\": 0, \"c\": -77, \"d\": -59, \"e\": 840, \"f\": -52}", "seed": "18238018799623639269", "semantic_fingerprint": "sha256:68e3bf182d16bd516ae155fe2f7d2433c323465f9d735e4c692d5bc42fbc67f0", "generator_version": "3.0"}
{"id": "v3_test_id_00005888", "prompt": "Evaluate: 562 * 3 / (-23)", "solution_steps": ["Multiply: 562 * 3 = 1686", "Divide: 1686 / (-23) = -1686/23"], "final_answer": "-1686/23", "answer_type": "rational", "kind": "expression", "math_text": "562 * 3 / (-23)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 562, \"b\": 3, \"c\": -23}", "seed": "1182243171530712979", "semantic_fingerprint": "sha256:9e87cab889ec5217202ea8c7ee5a1e53ee7d07ea402a1405b117b941fe0abda6", "generator_version": "3.0"}
{"id": "v3_test_id_00005889", "prompt": "Compute: 5 * (-9 * (43 * 30 - (-15)) / (-906))", "solution_steps": ["Multiply: 43 * 30 = 1290", "Subtract: 1290 - (-15) = 1305", "Multiply: -9 * 1305 = -11745", "Divide: -11745 / (-906) = 3915/302", "Multiply: 5 * (3915/302) = 19575/302"], "final_answer": "19575/302", "answer_type": "rational", "kind": "expression", "math_text": "5 * (-9 * (43 * 30 - (-15)) / (-906))", "variable": null, "family": "expression_5op", "shape": "(* n (/ (* n (- (* n n) n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -9, \"c\": 43, \"d\": 30, \"e\": -15, \"f\": -906}", "seed": "3147961621374412551", "semantic_fingerprint": "sha256:54a67e993223d15b0b93ff330274963b27460ba49f2b82d2d85cf789fcbefe3f", "generator_version": "3.0"}
{"id": "v3_test_id_00005890", "prompt": "Evaluate: 3 / 87 + (2 - (-18) * 72)", "solution_steps": ["Divide: 3 / 87 = 1/29", "Multiply: -18 * 72 = -1296", "Subtract: 2 - (-1296) = 1298", "Add: 1/29 + 1298 = 37643/29"], "final_answer": "37643/29", "answer_type": "rational", "kind": "expression", "math_text": "3 / 87 + (2 - (-18) * 72)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 87, \"c\": 2, \"d\": -18, \"e\": 72}", "seed": "8974475911527913497", "semantic_fingerprint": "sha256:323b9d9f021cdf2e4471ec718988a78240c011d1a4450bcfc3d4ce6257267c7a", "generator_version": "3.0"}
{"id": "v3_test_id_00005891", "prompt": "Evaluate: 15 + (-6 - (-961) - 2)", "solution_steps": ["Subtract: -6 - (-961) = 955", "Subtract: 955 - 2 = 953", "Add: 15 + 953 = 968"], "final_answer": "968", "answer_type": "integer", "kind": "expression", "math_text": "15 + (-6 - (-961) - 2)", "variable": null, "family": "expression_3op", "shape": "(+ n (- (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": -6, \"c\": -961, \"d\": 2}", "seed": "8446036957987751084", "semantic_fingerprint": "sha256:98e98962fa635511510d9c51394c93a03452c1a5e0c4eea8edd910aa5357e4aa", "generator_version": "3.0"}
{"id": "v3_test_id_00005892", "prompt": "Evaluate: -2 * (6 - (-273) / (-37 - (-411) / (-3)))", "solution_steps": ["Divide: -411 / (-3) = 137", "Subtract: -37 - 137 = -174", "Divide: -273 / (-174) = 91/58", "Subtract: 6 - 91/58 = 257/58", "Multiply: -2 * (257/58) = -257/29"], "final_answer": "-257/29", "answer_type": "rational", "kind": "expression", "math_text": "-2 * (6 - (-273) / (-37 - (-411) / (-3)))", "variable": null, "family": "expression_5op", "shape": "(* n (- n (/ n (- n (/ n n)))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 6, \"c\": -273, \"d\": -37, \"e\": -411, \"f\": -3}", "seed": "13840070854149460268", "semantic_fingerprint": "sha256:d245db8ddde85acf9d2ca67850f658e62b2198e098037b750d398a7999a6b6d6", "generator_version": "3.0"}
{"id": "v3_test_id_00005893", "prompt": "Compute: 37 - (-9) + (-92) / (-420) * 8", "solution_steps": ["Subtract: 37 - (-9) = 46", "Divide: -92 / (-420) = 23/105", "Multiply: (23/105) * 8 = 184/105", "Add: 46 + 184/105 = 5014/105"], "final_answer": "5014/105", "answer_type": "rational", "kind": "expression", "math_text": "37 - (-9) + (-92) / (-420) * 8", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (* (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": -9, \"c\": -92, \"d\": -420, \"e\": 8}", "seed": "4805090665610135370", "semantic_fingerprint": "sha256:7ec2b805e8fcfb426329a4f62e190f99d4547976b8654c8f5003f8cd24cf2d20", "generator_version": "3.0"}
{"id": "v3_test_id_00005894", "prompt": "Calculate: 386 - 5 + (-98)", "solution_steps": ["Subtract: 386 - 5 = 381", "Add: 381 + (-98) = 283"], "final_answer": "283", "answer_type": "integer", "kind": "expression", "math_text": "386 - 5 + (-98)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 386, \"b\": 5, \"c\": -98}", "seed": "10289564830033718715", "semantic_fingerprint": "sha256:41d1d52b08c883c20e07688448ccfb034f85ee31848df829102fd207d0fd6045", "generator_version": "3.0"}
{"id": "v3_test_id_00005895", "prompt": "Evaluate: (629 + (-149) + (-619)) / 39", "solution_steps": ["Add: 629 + (-149) = 480", "Add: 480 + (-619) = -139", "Divide: -139 / 39 = -139/39"], "final_answer": "-139/39", "answer_type": "rational", "kind": "expression", "math_text": "(629 + (-149) + (-619)) / 39", "variable": null, "family": "expression_3op", "shape": "(/ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 629, \"b\": -149, \"c\": -619, \"d\": 39}", "seed": "14586132941974633401", "semantic_fingerprint": "sha256:754335c297eb2176f98e751ac420c65f223bf60dd42385025fa0b8caa8daad20", "generator_version": "3.0"}
{"id": "v3_test_id_00005896", "prompt": "What value of x satisfies 2(x - 87) - 73 = 6(x + 56) - 655?", "solution_steps": ["Expand: 2x - 174 - 73 = 6(x + 56) - 655", "Expand: 2x - 174 - 73 = 6x + 336 - 655", "Combine constants: 2x - 247 = 6x + 336 - 655", "Combine constants: 2x - 247 = 6x - 319", "Subtract 6x from both sides: -4x - 247 = -319", "Add 247 to both sides: -4x = -72", "Divide both sides by -4: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 87) - 73 = 6(x + 56) - 655", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 87, \"c\": 73, \"d\": 6, \"e\": 56, \"g\": -655, \"x\": 18}", "seed": "7857709142504851339", "semantic_fingerprint": "sha256:06ffaa5d019bae1ce08aa49ee3ea5eb1de43311fd563b8d7c14c277ed2d4d6cb", "generator_version": "3.0"}
{"id": "v3_test_id_00005897", "prompt": "Compute: 0 * (54 / (-42) + 2 / (-32))", "solution_steps": ["Divide: 54 / (-42) = -9/7", "Divide: 2 / (-32) = -1/16", "Add: -9/7 + (-1/16) = -151/112", "Multiply: 0 * (-151/112) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (54 / (-42) + 2 / (-32))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (/ n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 54, \"c\": -42, \"d\": 2, \"e\": -32}", "seed": "6316331384028867452", "semantic_fingerprint": "sha256:5d6e4c3379a28768fe68b6e7c0d7df7110514924188023bc75522c4b292bcd4c", "generator_version": "3.0"}
{"id": "v3_test_id_00005898", "prompt": "Compute: -7 - 38 + (68 + (-926)) / 70", "solution_steps": ["Subtract: -7 - 38 = -45", "Add: 68 + (-926) = -858", "Divide: -858 / 70 = -429/35", "Add: -45 + (-429/35) = -2004/35"], "final_answer": "-2004/35", "answer_type": "rational", "kind": "expression", "math_text": "-7 - 38 + (68 + (-926)) / 70", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (/ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 38, \"c\": 68, \"d\": -926, \"e\": 70}", "seed": "4143459443024195818", "semantic_fingerprint": "sha256:75fb8aec6dfafdcc241dbf128d23f641850f21eb109280bb91320eba31c50c46", "generator_version": "3.0"}
{"id": "v3_test_id_00005899", "prompt": "Calculate: -57 - 0 * 2", "solution_steps": ["Multiply: 0 * 2 = 0", "Subtract: -57 - 0 = -57"], "final_answer": "-57", "answer_type": "integer", "kind": "expression", "math_text": "-57 - 0 * 2", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": 0, \"c\": 2}", "seed": "12902787161537102397", "semantic_fingerprint": "sha256:9ed52a14006b43accdbadd50f983968270b700f1481bae0ab45d126be122ee0c", "generator_version": "3.0"}
{"id": "v3_test_id_00005900", "prompt": "Compute: -6 / (-94) / (-30 / (-36))", "solution_steps": ["Divide: -6 / (-94) = 3/47", "Divide: -30 / (-36) = 5/6", "Divide: (3/47) / (5/6) = 18/235"], "final_answer": "18/235", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-94) / (-30 / (-36))", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -94, \"c\": -30, \"d\": -36}", "seed": "16300753932954921632", "semantic_fingerprint": "sha256:19d9d836e8a5a95393da610ff52e1ab837bb06ae92fa82234cbe8bae8b2c2bfd", "generator_version": "3.0"}
{"id": "v3_test_id_00005901", "prompt": "Evaluate: -44 * (-3)", "solution_steps": ["Multiply: -44 * (-3) = 132"], "final_answer": "132", "answer_type": "integer", "kind": "expression", "math_text": "-44 * (-3)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": -3}", "seed": "2155736891136750524", "semantic_fingerprint": "sha256:56c7944551a5c290dd50fe8feb21cdce3694f703294106df8ef4ef48b52408d9", "generator_version": "3.0"}
{"id": "v3_test_id_00005902", "prompt": "What is 194 * (365 * (22 - (-5)) / 2)?", "solution_steps": ["Subtract: 22 - (-5) = 27", "Multiply: 365 * 27 = 9855", "Divide: 9855 / 2 = 9855/2", "Multiply: 194 * (9855/2) = 955935"], "final_answer": "955935", "answer_type": "integer", "kind": "expression", "math_text": "194 * (365 * (22 - (-5)) / 2)", "variable": null, "family": "expression_4op", "shape": "(* n (/ (* n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 194, \"b\": 365, \"c\": 22, \"d\": -5, \"e\": 2}", "seed": "9450388816920963058", "semantic_fingerprint": "sha256:889f359bfbd28265067169228a807a19d84be801b965c7f9e465f0daac7b4326", "generator_version": "3.0"}
{"id": "v3_test_id_00005903", "prompt": "Find x: 11x - 5 = -90", "solution_steps": ["Add 5 to both sides: 11x = -85", "Divide both sides by 11: x = -85/11"], "final_answer": "-85/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x - 5 = -90", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": -90}", "seed": "7248961252222469159", "semantic_fingerprint": "sha256:cc176e87396dc4a0e1bde56a6b6b9008b8b1cdfc98a85de3c52413b102d463f5", "generator_version": "3.0"}
{"id": "v3_test_id_00005904", "prompt": "Find x: 3x = -11x - 56", "solution_steps": ["Add 11x to both sides: 14x = -56", "Divide both sides by 14: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = -11x - 56", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -11, \"d\": -56, \"x\": -4}", "seed": "7016479926619345417", "semantic_fingerprint": "sha256:b19c52ca1768eb4586bd1e728a651df0a510605ed1b2d8b12118f2a8f5d3d479", "generator_version": "3.0"}
{"id": "v3_test_id_00005905", "prompt": "Compute: 337 - 0 - 47 - 8", "solution_steps": ["Subtract: 337 - 0 = 337", "Subtract: 337 - 47 = 290", "Subtract: 290 - 8 = 282"], "final_answer": "282", "answer_type": "integer", "kind": "expression", "math_text": "337 - 0 - 47 - 8", "variable": null, "family": "expression_3op", "shape": "(- (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 337, \"b\": 0, \"c\": 47, \"d\": 8}", "seed": "16529920591946035949", "semantic_fingerprint": "sha256:9e75c5f0da444eb5c3c8188c418ea2e00506028dda05485764ec457d25eaec5b", "generator_version": "3.0"}
{"id": "v3_test_id_00005906", "prompt": "Evaluate: 2 / (8 + (32 + 29))", "solution_steps": ["Add: 32 + 29 = 61", "Add: 8 + 61 = 69", "Divide: 2 / 69 = 2/69"], "final_answer": "2/69", "answer_type": "rational", "kind": "expression", "math_text": "2 / (8 + (32 + 29))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 32, \"d\": 29}", "seed": "14237713587251669726", "semantic_fingerprint": "sha256:cba797ef7d79770a2c2d94813d89afe2d2c9c81cfb8fc19d70d62ba75003929f", "generator_version": "3.0"}
{"id": "v3_test_id_00005907", "prompt": "Solve for x: 3x = -11(x - 33) - 209", "solution_steps": ["Expand: 3x = -11x + 363 - 209", "Combine constants: 3x = -11x + 154", "Add 11x to both sides: 14x = 154", "Divide both sides by 14: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = -11(x - 33) - 209", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -11, \"c\": 33, \"e\": -209, \"x\": 11}", "seed": "1972775018834792276", "semantic_fingerprint": "sha256:8e5ba173b7718e671a202095ad03e830eb1238c3d0ac97896df2b450b7119a5b", "generator_version": "3.0"}
{"id": "v3_test_id_00005908", "prompt": "Compute: -27 + 701 * (-526) + 0", "solution_steps": ["Multiply: 701 * (-526) = -368726", "Add: -27 + (-368726) = -368753", "Add: -368753 + 0 = -368753"], "final_answer": "-368753", "answer_type": "integer", "kind": "expression", "math_text": "-27 + 701 * (-526) + 0", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": 701, \"c\": -526, \"d\": 0}", "seed": "4249667174426519612", "semantic_fingerprint": "sha256:17203675da2271d0db97cd82afe3cd74c284077441adf029bad4c3ca02468f9b", "generator_version": "3.0"}
{"id": "v3_test_id_00005909", "prompt": "Compute: 968 / 37", "solution_steps": ["Divide: 968 / 37 = 968/37"], "final_answer": "968/37", "answer_type": "rational", "kind": "expression", "math_text": "968 / 37", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 968, \"b\": 37}", "seed": "9040438420590137167", "semantic_fingerprint": "sha256:31455006983baadabe93392ffd03eb4f776cc47e26551f1e2eb0910f3f3856b1", "generator_version": "3.0"}
{"id": "v3_test_id_00005910", "prompt": "What value of x satisfies 12(x + 27) = -2(x + 44) + 384?", "solution_steps": ["Expand: 12x + 324 = -2(x + 44) + 384", "Expand: 12x + 324 = -2x - 88 + 384", "Combine constants: 12x + 324 = -2x + 296", "Add 2x to both sides: 14x + 324 = 296", "Subtract 324 from both sides: 14x = -28", "Divide both sides by 14: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 27) = -2(x + 44) + 384", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 27, \"c\": -2, \"d\": 44, \"f\": 384, \"x\": -2}", "seed": "1760445338814128566", "semantic_fingerprint": "sha256:3ff3cd058f3e8e9c0176aa35be5457c40a73fbe89ed26a4d21f6761582726222", "generator_version": "3.0"}
{"id": "v3_test_id_00005911", "prompt": "Evaluate: -25 - (-29 - (-88)) + (8 - 11)", "solution_steps": ["Subtract: -29 - (-88) = 59", "Subtract: -25 - 59 = -84", "Subtract: 8 - 11 = -3", "Add: -84 + (-3) = -87"], "final_answer": "-87", "answer_type": "integer", "kind": "expression", "math_text": "-25 - (-29 - (-88)) + (8 - 11)", "variable": null, "family": "expression_4op", "shape": "(+ (- n (- n n)) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": -29, \"c\": -88, \"d\": 8, \"e\": 11}", "seed": "13822042998250107705", "semantic_fingerprint": "sha256:5bc8943fd8af02c9d45671dd224bd954d1b74d1ac9f2ca44a345fd648a742685", "generator_version": "3.0"}
{"id": "v3_test_id_00005912", "prompt": "Compute: 713 / 87", "solution_steps": ["Divide: 713 / 87 = 713/87"], "final_answer": "713/87", "answer_type": "rational", "kind": "expression", "math_text": "713 / 87", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 713, \"b\": 87}", "seed": "184080484791739271", "semantic_fingerprint": "sha256:b1741bcc2db4ad167cc241bbd1c240b7b807c1b7fec09ef9161642bcd4de0695", "generator_version": "3.0"}
{"id": "v3_test_id_00005913", "prompt": "What is 0 - (-887)?", "solution_steps": ["Subtract: 0 - (-887) = 887"], "final_answer": "887", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-887)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -887}", "seed": "17995313875948386042", "semantic_fingerprint": "sha256:7cd79338d055137840d1652862bf3b15a3f6222eaa7d5f2ad198221c072c5279", "generator_version": "3.0"}
{"id": "v3_test_id_00005914", "prompt": "Calculate: 66 + (-56) * (-39)", "solution_steps": ["Multiply: -56 * (-39) = 2184", "Add: 66 + 2184 = 2250"], "final_answer": "2250", "answer_type": "integer", "kind": "expression", "math_text": "66 + (-56) * (-39)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": -56, \"c\": -39}", "seed": "13090880178962528303", "semantic_fingerprint": "sha256:f5db3d961c914495d8c0bba36ac6675d7dfc5084852a3530a583940aae5a93d2", "generator_version": "3.0"}
{"id": "v3_test_id_00005915", "prompt": "What is -59 * 63 * (-2)?", "solution_steps": ["Multiply: -59 * 63 = -3717", "Multiply: -3717 * (-2) = 7434"], "final_answer": "7434", "answer_type": "integer", "kind": "expression", "math_text": "-59 * 63 * (-2)", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": 63, \"c\": -2}", "seed": "16131000501920903293", "semantic_fingerprint": "sha256:cd2c1644761e4f64747c101f2d805aa67113c60fc3d31303284334e66e9fde73", "generator_version": "3.0"}
{"id": "v3_test_id_00005916", "prompt": "Compute: -463 / 1", "solution_steps": ["Divide: -463 / 1 = -463"], "final_answer": "-463", "answer_type": "integer", "kind": "expression", "math_text": "-463 / 1", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -463, \"b\": 1}", "seed": "13920455592093140903", "semantic_fingerprint": "sha256:e70f03f7205e604478f6d1bc945e07d75fbd624b3439ea0d2561a09bb49c0887", "generator_version": "3.0"}
{"id": "v3_test_id_00005917", "prompt": "Evaluate: 46 / (-63) - 93", "solution_steps": ["Divide: 46 / (-63) = -46/63", "Subtract: -46/63 - 93 = -5905/63"], "final_answer": "-5905/63", "answer_type": "rational", "kind": "expression", "math_text": "46 / (-63) - 93", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": -63, \"c\": 93}", "seed": "17878640510502523588", "semantic_fingerprint": "sha256:1871e0d0c34a141ce029ef62617c4953af81cbf11b50f82f75df89bd25daf361", "generator_version": "3.0"}
{"id": "v3_test_id_00005918", "prompt": "Calculate: 412 - (0 * (-5) - 8 * (14 / (-55)))", "solution_steps": ["Multiply: 0 * (-5) = 0", "Divide: 14 / (-55) = -14/55", "Multiply: 8 * (-14/55) = -112/55", "Subtract: 0 - (-112/55) = 112/55", "Subtract: 412 - 112/55 = 22548/55"], "final_answer": "22548/55", "answer_type": "rational", "kind": "expression", "math_text": "412 - (0 * (-5) - 8 * (14 / (-55)))", "variable": null, "family": "expression_5op", "shape": "(- n (- (* n n) (* n (/ n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 412, \"b\": 0, \"c\": -5, \"d\": 8, \"e\": 14, \"f\": -55}", "seed": "16148040147745172297", "semantic_fingerprint": "sha256:86d9148aad8782b25654d5e55bae2e1d955046278f148b29f2bfe6b7da0c2186", "generator_version": "3.0"}
{"id": "v3_test_id_00005919", "prompt": "Calculate: 88 + 0", "solution_steps": ["Add: 88 + 0 = 88"], "final_answer": "88", "answer_type": "integer", "kind": "expression", "math_text": "88 + 0", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": 0}", "seed": "14866428051095927930", "semantic_fingerprint": "sha256:9c81e0a46f39ef688e831577e2c4ef3b5e6d50d50c2a6621c976a9ed24d7f1b0", "generator_version": "3.0"}
{"id": "v3_test_id_00005920", "prompt": "What value of x satisfies x + 56 = 8(x + 3) + 4?", "solution_steps": ["Expand: x + 56 = 8x + 24 + 4", "Combine constants: x + 56 = 8x + 28", "Subtract 8x from both sides: -7x + 56 = 28", "Subtract 56 from both sides: -7x = -28", "Divide both sides by -7: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 56 = 8(x + 3) + 4", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 8, \"c\": 3, \"e\": 4, \"x\": 4}", "seed": "4242568416602980598", "semantic_fingerprint": "sha256:18f1833d707bd07ae3f9ca91cf9f6c72f921598968a3895bc8745374e5d77e56", "generator_version": "3.0"}
{"id": "v3_test_id_00005921", "prompt": "Evaluate: -65 - (0 + (-7))", "solution_steps": ["Add: 0 + (-7) = -7", "Subtract: -65 - (-7) = -58"], "final_answer": "-58", "answer_type": "integer", "kind": "expression", "math_text": "-65 - (0 + (-7))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": 0, \"c\": -7}", "seed": "13560085491105930385", "semantic_fingerprint": "sha256:f51a90d026679a18fbfc830494deff74c3aaef5c8c15eef6092cd9ddc8b95fea", "generator_version": "3.0"}
{"id": "v3_test_id_00005922", "prompt": "Evaluate: 436 * (-6 * 63)", "solution_steps": ["Multiply: -6 * 63 = -378", "Multiply: 436 * (-378) = -164808"], "final_answer": "-164808", "answer_type": "integer", "kind": "expression", "math_text": "436 * (-6 * 63)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 436, \"b\": -6, \"c\": 63}", "seed": "425808951270991522", "semantic_fingerprint": "sha256:d9028bdcb85d5ebe32c926efd309c35c08926ba93187ad9963a2d0513068ce9a", "generator_version": "3.0"}
{"id": "v3_test_id_00005923", "prompt": "What is -62 + 99 - (-496)?", "solution_steps": ["Add: -62 + 99 = 37", "Subtract: 37 - (-496) = 533"], "final_answer": "533", "answer_type": "integer", "kind": "expression", "math_text": "-62 + 99 - (-496)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": 99, \"c\": -496}", "seed": "14233977278813762521", "semantic_fingerprint": "sha256:3e7f17394d551200761436fb26e3d78b41f7ff3ccbdc544cd8ed5a4048d463d6", "generator_version": "3.0"}
{"id": "v3_test_id_00005924", "prompt": "Calculate: -84 * 54", "solution_steps": ["Multiply: -84 * 54 = -4536"], "final_answer": "-4536", "answer_type": "integer", "kind": "expression", "math_text": "-84 * 54", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -84, \"b\": 54}", "seed": "6105233262998092516", "semantic_fingerprint": "sha256:aeb144506608b49ff0dd5068446d5e5cae08c63c1de636b33e93249a61ce9046", "generator_version": "3.0"}
{"id": "v3_test_id_00005925", "prompt": "Calculate: -720 / (-3) + 39", "solution_steps": ["Divide: -720 / (-3) = 240", "Add: 240 + 39 = 279"], "final_answer": "279", "answer_type": "integer", "kind": "expression", "math_text": "-720 / (-3) + 39", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -720, \"b\": -3, \"c\": 39}", "seed": "12421851071411915628", "semantic_fingerprint": "sha256:dcdc549025594c68d6a3fed124db3f60dbf4ffb0531685171026514acbb7e1ee", "generator_version": "3.0"}
{"id": "v3_test_id_00005926", "prompt": "Calculate: -67 / (-2)", "solution_steps": ["Divide: -67 / (-2) = 67/2"], "final_answer": "67/2", "answer_type": "rational", "kind": "expression", "math_text": "-67 / (-2)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -67, \"b\": -2}", "seed": "6096442431101500039", "semantic_fingerprint": "sha256:e600221134176372e7fc12a14ecfa1d71bdf567af7b1e80fcda6724fd0302118", "generator_version": "3.0"}
{"id": "v3_test_id_00005927", "prompt": "What is 589 - 0 * (-8)?", "solution_steps": ["Multiply: 0 * (-8) = 0", "Subtract: 589 - 0 = 589"], "final_answer": "589", "answer_type": "integer", "kind": "expression", "math_text": "589 - 0 * (-8)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 589, \"b\": 0, \"c\": -8}", "seed": "10438397191731846306", "semantic_fingerprint": "sha256:180c07c82f3e464b9154e8d4c2064832ef66153d1f9bd4a6b4ac1b2863b275b8", "generator_version": "3.0"}
{"id": "v3_test_id_00005928", "prompt": "What value of x satisfies 11(x + 13) + 10 = 3x + 193?", "solution_steps": ["Expand: 11x + 143 + 10 = 3x + 193", "Combine constants: 11x + 153 = 3x + 193", "Subtract 3x from both sides: 8x + 153 = 193", "Subtract 153 from both sides: 8x = 40", "Divide both sides by 8: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 13) + 10 = 3x + 193", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 13, \"c\": 10, \"d\": 3, \"f\": 193, \"x\": 5}", "seed": "3020099638253179820", "semantic_fingerprint": "sha256:152d5a701ae98aa1b9512712d270822350711db68279f0857e6d70113abd13ab", "generator_version": "3.0"}
{"id": "v3_test_id_00005929", "prompt": "What value of x satisfies 7(x - 23) = 11(x - 3) - 196?", "solution_steps": ["Expand: 7x - 161 = 11(x - 3) - 196", "Expand: 7x - 161 = 11x - 33 - 196", "Combine constants: 7x - 161 = 11x - 229", "Subtract 11x from both sides: -4x - 161 = -229", "Add 161 to both sides: -4x = -68", "Divide both sides by -4: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x - 23) = 11(x - 3) - 196", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 23, \"c\": 11, \"d\": 3, \"f\": -196, \"x\": 17}", "seed": "17641745781325562267", "semantic_fingerprint": "sha256:6570cd4cd232cab7dc41f58f2bce7ff49d2dd90e59d469708b59152f5d697d7b", "generator_version": "3.0"}
{"id": "v3_test_id_00005930", "prompt": "Evaluate: (-840 - 0) * (-380) + (4 - 934) * 418", "solution_steps": ["Subtract: -840 - 0 = -840", "Multiply: -840 * (-380) = 319200", "Subtract: 4 - 934 = -930", "Multiply: -930 * 418 = -388740", "Add: 319200 + (-388740) = -69540"], "final_answer": "-69540", "answer_type": "integer", "kind": "expression", "math_text": "(-840 - 0) * (-380) + (4 - 934) * 418", "variable": null, "family": "expression_5op", "shape": "(+ (* (- n n) n) (* (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -840, \"b\": 0, \"c\": -380, \"d\": 4, \"e\": 934, \"f\": 418}", "seed": "18318659270276519762", "semantic_fingerprint": "sha256:a6616946bf6dd5f58aad9bc45ed400ce960403213ccb5b2120b615e798dada0f", "generator_version": "3.0"}
{"id": "v3_test_id_00005931", "prompt": "Calculate: -7 + (-288) - (-78) * (-8)", "solution_steps": ["Add: -7 + (-288) = -295", "Multiply: -78 * (-8) = 624", "Subtract: -295 - 624 = -919"], "final_answer": "-919", "answer_type": "integer", "kind": "expression", "math_text": "-7 + (-288) - (-78) * (-8)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -288, \"c\": -78, \"d\": -8}", "seed": "441928213201614186", "semantic_fingerprint": "sha256:08c8682abb13ef0c9b6cc73df6cb0d75e4ec00605728ed18cb4ce9f2e2712b56", "generator_version": "3.0"}
{"id": "v3_test_id_00005932", "prompt": "Calculate: -4 / 8 / 34", "solution_steps": ["Divide: -4 / 8 = -1/2", "Divide: (-1/2) / 34 = -1/68"], "final_answer": "-1/68", "answer_type": "rational", "kind": "expression", "math_text": "-4 / 8 / 34", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 8, \"c\": 34}", "seed": "6286971112648545003", "semantic_fingerprint": "sha256:d3deceef5c355c4b1992625b73a19dcd63fe07ba14b183aa50eba552f0da0dfc", "generator_version": "3.0"}
{"id": "v3_test_id_00005933", "prompt": "What value of x satisfies 7x = -56?", "solution_steps": ["Divide both sides by 7: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = -56", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"c\": -56, \"x\": -8}", "seed": "373275562355010022", "semantic_fingerprint": "sha256:662d54cec7696ebb00b64173dcbd0f4f77f173c99a9985e78c01b039a2858053", "generator_version": "3.0"}
{"id": "v3_test_id_00005934", "prompt": "Calculate: 53 + (-43) - (90 - (-49) * 0)", "solution_steps": ["Add: 53 + (-43) = 10", "Multiply: -49 * 0 = 0", "Subtract: 90 - 0 = 90", "Subtract: 10 - 90 = -80"], "final_answer": "-80", "answer_type": "integer", "kind": "expression", "math_text": "53 + (-43) - (90 - (-49) * 0)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (- n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": -43, \"c\": 90, \"d\": -49, \"e\": 0}", "seed": "797285186909636745", "semantic_fingerprint": "sha256:60309601d3fb43de7af67d934fa412e3bc0c9e6823e26ce3527b3dc14b6ceb2f", "generator_version": "3.0"}
{"id": "v3_test_id_00005935", "prompt": "Find x: 5x - 32 = x - 104", "solution_steps": ["Subtract x from both sides: 4x - 32 = -104", "Add 32 to both sides: 4x = -72", "Divide both sides by 4: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x - 32 = x - 104", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 32, \"d\": -104, \"x\": -18}", "seed": "8879355662588470816", "semantic_fingerprint": "sha256:b9ead3b1c0118ffd0babf1bd469aa01a650b09eed89a3de42f3d4fc7bb33539d", "generator_version": "3.0"}
{"id": "v3_test_id_00005936", "prompt": "What is 8 - 82 + (-54)?", "solution_steps": ["Subtract: 8 - 82 = -74", "Add: -74 + (-54) = -128"], "final_answer": "-128", "answer_type": "integer", "kind": "expression", "math_text": "8 - 82 + (-54)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 82, \"c\": -54}", "seed": "13961878012801341364", "semantic_fingerprint": "sha256:3ca07239e44ad4d5068a3e8ddf164aa400032fe169000c24b8d9fddba52a370f", "generator_version": "3.0"}
{"id": "v3_test_id_00005937", "prompt": "Solve the equation 11x + 79 = 4(x + 4) for x.", "solution_steps": ["Expand: 11x + 79 = 4x + 16", "Subtract 4x from both sides: 7x + 79 = 16", "Subtract 79 from both sides: 7x = -63", "Divide both sides by 7: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 79 = 4(x + 4)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 4, \"c\": 4, \"e\": 79, \"x\": -9}", "seed": "1785216344100747558", "semantic_fingerprint": "sha256:c50a9acd8928dd08b1531f814929ecf1cd65a75ca2b4c5447c53871db7ed105f", "generator_version": "3.0"}
{"id": "v3_test_id_00005938", "prompt": "Find x: -4(x + 181) + 660 = -8x", "solution_steps": ["Expand: -4x - 724 + 660 = -8x", "Combine constants: -4x - 64 = -8x", "Add 8x to both sides: 4x - 64 = 0", "Add 64 to both sides: 4x = 64", "Divide both sides by 4: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 181) + 660 = -8x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 181, \"c\": -8, \"e\": 660, \"x\": 16}", "seed": "16962179455297938208", "semantic_fingerprint": "sha256:5f37acb62879a1d8864a342be3516182c2f5d56671eccc667e489da20af3c504", "generator_version": "3.0"}
{"id": "v3_test_id_00005939", "prompt": "Solve the equation -9(x - 83) + 98 = -6(x - 14) + 749 for x.", "solution_steps": ["Expand: -9x + 747 + 98 = -6(x - 14) + 749", "Expand: -9x + 747 + 98 = -6x + 84 + 749", "Combine constants: -9x + 845 = -6x + 84 + 749", "Combine constants: -9x + 845 = -6x + 833", "Add 6x to both sides: -3x + 845 = 833", "Subtract 845 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 - 83) + 98 = -6(x - 14) + 749", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 83, \"c\": 98, \"d\": -6, \"e\": 14, \"g\": 749, \"x\": 4}", "seed": "9452296971154465343", "semantic_fingerprint": "sha256:8a3ff659fe185ff50f8bc3e1d214b8cdd9c9fb86f9feb0dfc2f677c5b700212f", "generator_version": "3.0"}
{"id": "v3_test_id_00005940", "prompt": "Compute: 290 - 0 / (42 + 177)", "solution_steps": ["Add: 42 + 177 = 219", "Divide: 0 / 219 = 0", "Subtract: 290 - 0 = 290"], "final_answer": "290", "answer_type": "integer", "kind": "expression", "math_text": "290 - 0 / (42 + 177)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 290, \"b\": 0, \"c\": 42, \"d\": 177}", "seed": "7537141545486813572", "semantic_fingerprint": "sha256:7578c27d2792fb2e9e416cdc6b37ca9a5e837a5abd2d395ff1ca25160b709061", "generator_version": "3.0"}
{"id": "v3_test_id_00005941", "prompt": "What value of x satisfies x - 359 = -7(x - 48) - 847?", "solution_steps": ["Expand: x - 359 = -7x + 336 - 847", "Combine constants: x - 359 = -7x - 511", "Add 7x to both sides: 8x - 359 = -511", "Add 359 to both sides: 8x = -152", "Divide both sides by 8: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 359 = -7(x - 48) - 847", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 359, \"b\": -7, \"c\": 48, \"e\": -847, \"x\": -19}", "seed": "14094614018371021549", "semantic_fingerprint": "sha256:3cd72495f4ca9ebba4a974cf6c53db31b8f51f73cc7e183e95567e233c49edea", "generator_version": "3.0"}
{"id": "v3_test_id_00005942", "prompt": "Solve the equation x = 10(x - 77) + 617 for x.", "solution_steps": ["Expand: x = 10x - 770 + 617", "Combine constants: x = 10x - 153", "Subtract 10x from both sides: -9x = -153", "Divide both sides by -9: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 10(x - 77) + 617", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 77, \"d\": 617, \"x\": 17}", "seed": "3089532163696051104", "semantic_fingerprint": "sha256:ba1bae98efcf924a0c6b262b71f52a6ada4b675ae20f6df8f81b9ef73e9469b1", "generator_version": "3.0"}
{"id": "v3_test_id_00005943", "prompt": "Calculate: -2 - 79 + (-797) / (-805)", "solution_steps": ["Subtract: -2 - 79 = -81", "Divide: -797 / (-805) = 797/805", "Add: -81 + 797/805 = -64408/805"], "final_answer": "-64408/805", "answer_type": "rational", "kind": "expression", "math_text": "-2 - 79 + (-797) / (-805)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 79, \"c\": -797, \"d\": -805}", "seed": "12919184864530358671", "semantic_fingerprint": "sha256:74dadc891afc82a01965ebe4d8e95cf8a6c2c85051466c012408d06fd5762812", "generator_version": "3.0"}
{"id": "v3_test_id_00005944", "prompt": "Solve the equation 9(x + 1) = -90 for x.", "solution_steps": ["Expand: 9x + 9 = -90", "Subtract 9 from both sides: 9x = -99", "Divide both sides by 9: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 1) = -90", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 1, \"d\": -90, \"x\": -11}", "seed": "1536817814107389604", "semantic_fingerprint": "sha256:4d35c9a70ce6d1b456e0e0550579285a075e2dea0b96922b25c9830744241ec6", "generator_version": "3.0"}
{"id": "v3_test_id_00005945", "prompt": "Calculate: 7 - (-39 - (-41) * (-105)) / (-6 - (-63))", "solution_steps": ["Multiply: -41 * (-105) = 4305", "Subtract: -39 - 4305 = -4344", "Subtract: -6 - (-63) = 57", "Divide: -4344 / 57 = -1448/19", "Subtract: 7 - (-1448/19) = 1581/19"], "final_answer": "1581/19", "answer_type": "rational", "kind": "expression", "math_text": "7 - (-39 - (-41) * (-105)) / (-6 - (-63))", "variable": null, "family": "expression_5op", "shape": "(- n (/ (- n (* n n)) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -39, \"c\": -41, \"d\": -105, \"e\": -6, \"f\": -63}", "seed": "9794735103336480129", "semantic_fingerprint": "sha256:ee29a98ef2c5cb650021e94f97b56d25fe4220867960cee198134059bedd7481", "generator_version": "3.0"}
{"id": "v3_test_id_00005946", "prompt": "Solve the equation -11(x - 84) + 5 = x + 701 for x.", "solution_steps": ["Expand: -11x + 924 + 5 = x + 701", "Combine constants: -11x + 929 = x + 701", "Subtract x from both sides: -12x + 929 = 701", "Subtract 929 from both sides: -12x = -228", "Divide both sides by -12: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x - 84) + 5 = x + 701", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 84, \"c\": 5, \"e\": 701, \"x\": 19}", "seed": "3985479221987217893", "semantic_fingerprint": "sha256:81c35723c4f3458a9765026c70009a74bd20b160ef33aa64b88eafe80dc73a35", "generator_version": "3.0"}
{"id": "v3_test_id_00005947", "prompt": "Calculate: -77 * 653 / ((96 - 6) / (-57) + (-22))", "solution_steps": ["Multiply: -77 * 653 = -50281", "Subtract: 96 - 6 = 90", "Divide: 90 / (-57) = -30/19", "Add: -30/19 + (-22) = -448/19", "Divide: -50281 / (-448/19) = 136477/64"], "final_answer": "136477/64", "answer_type": "rational", "kind": "expression", "math_text": "-77 * 653 / ((96 - 6) / (-57) + (-22))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (+ (/ (- n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": 653, \"c\": 96, \"d\": 6, \"e\": -57, \"f\": -22}", "seed": "5147890933229125007", "semantic_fingerprint": "sha256:f83c83168bba68bdbd428ee6d0c8b8c9552e1f7569d66f1a6014fc0516f093b2", "generator_version": "3.0"}
{"id": "v3_test_id_00005948", "prompt": "Compute: 5 - 6 / (-52)", "solution_steps": ["Divide: 6 / (-52) = -3/26", "Subtract: 5 - (-3/26) = 133/26"], "final_answer": "133/26", "answer_type": "rational", "kind": "expression", "math_text": "5 - 6 / (-52)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 6, \"c\": -52}", "seed": "1100907704086599099", "semantic_fingerprint": "sha256:f01b64e4263116e967518fa93fb9e294ce5869eed8a56d83514f90d206ac9e9b", "generator_version": "3.0"}
{"id": "v3_test_id_00005949", "prompt": "Calculate: -8 * (-19) - 2", "solution_steps": ["Multiply: -8 * (-19) = 152", "Subtract: 152 - 2 = 150"], "final_answer": "150", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (-19) - 2", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -19, \"c\": 2}", "seed": "8508972813714726804", "semantic_fingerprint": "sha256:07cf8b47f73bff953cd0a209930f86883010d2f3bae3a07c404717b88e588fb4", "generator_version": "3.0"}
{"id": "v3_test_id_00005950", "prompt": "Find x: -3(x - 630) + 735 = x", "solution_steps": ["Expand: -3x + 1890 + 735 = x", "Combine constants: -3x + 2625 = x", "Subtract x from both sides: -4x + 2625 = 0", "Subtract 2625 from both sides: -4x = -2625", "Divide both sides by -4: x = 2625/4"], "final_answer": "2625/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 630) + 735 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 630, \"c\": 735}", "seed": "8098193815564361282", "semantic_fingerprint": "sha256:5de3bc61397ea967d3ea897133059cef4bbe0cfdda6fbd9d78695f6096ff9c59", "generator_version": "3.0"}
{"id": "v3_test_id_00005951", "prompt": "Compute: (9 - 25) * 14", "solution_steps": ["Subtract: 9 - 25 = -16", "Multiply: -16 * 14 = -224"], "final_answer": "-224", "answer_type": "integer", "kind": "expression", "math_text": "(9 - 25) * 14", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 25, \"c\": 14}", "seed": "13417681498159772670", "semantic_fingerprint": "sha256:cb5fe6067edfaa700a8ceeb1cfda6c601dc0af2753b3e6cd20e79758c7027116", "generator_version": "3.0"}
{"id": "v3_test_id_00005952", "prompt": "What is (55 - 132) / (685 - (-3) / (-144))?", "solution_steps": ["Subtract: 55 - 132 = -77", "Divide: -3 / (-144) = 1/48", "Subtract: 685 - 1/48 = 32879/48", "Divide: -77 / (32879/48) = -48/427"], "final_answer": "-48/427", "answer_type": "rational", "kind": "expression", "math_text": "(55 - 132) / (685 - (-3) / (-144))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (- n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": 132, \"c\": 685, \"d\": -3, \"e\": -144}", "seed": "16575906752995870332", "semantic_fingerprint": "sha256:4da540019c25279d94893f7a2917d9e5bda45acf58bba7767dc3133e7ba3b393", "generator_version": "3.0"}
{"id": "v3_test_id_00005953", "prompt": "What is (5 + (21 + 64) + 0) * (-72 - (-12))?", "solution_steps": ["Add: 21 + 64 = 85", "Add: 5 + 85 = 90", "Add: 90 + 0 = 90", "Subtract: -72 - (-12) = -60", "Multiply: 90 * (-60) = -5400"], "final_answer": "-5400", "answer_type": "integer", "kind": "expression", "math_text": "(5 + (21 + 64) + 0) * (-72 - (-12))", "variable": null, "family": "expression_5op", "shape": "(* (+ (+ n (+ n n)) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 21, \"c\": 64, \"d\": 0, \"e\": -72, \"f\": -12}", "seed": "13905096246092386597", "semantic_fingerprint": "sha256:829d336fbb83168d86e50b2f639e7177750433a8cf611223913e2d3a0fb45af6", "generator_version": "3.0"}
{"id": "v3_test_id_00005954", "prompt": "Find x: 8(x - 78) + 484 = x", "solution_steps": ["Expand: 8x - 624 + 484 = x", "Combine constants: 8x - 140 = x", "Subtract x from both sides: 7x - 140 = 0", "Add 140 to both sides: 7x = 140", "Divide both sides by 7: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 78) + 484 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 78, \"d\": 484, \"x\": 20}", "seed": "18076653711336739308", "semantic_fingerprint": "sha256:d732528d01edb89e913e49f59b6407b90be62b8595b4c7950a6e5b7719463c63", "generator_version": "3.0"}
{"id": "v3_test_id_00005955", "prompt": "Compute: 65 - 75 + 41 * (-2)", "solution_steps": ["Subtract: 65 - 75 = -10", "Multiply: 41 * (-2) = -82", "Add: -10 + (-82) = -92"], "final_answer": "-92", "answer_type": "integer", "kind": "expression", "math_text": "65 - 75 + 41 * (-2)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 65, \"b\": 75, \"c\": 41, \"d\": -2}", "seed": "2257573027031547918", "semantic_fingerprint": "sha256:3ba35ede72032140544d901db17423616a83a6348c75e6bc59db1fc30a11bab4", "generator_version": "3.0"}
{"id": "v3_test_id_00005956", "prompt": "Compute: 15 - (-7 + (-9) / 419)", "solution_steps": ["Divide: -9 / 419 = -9/419", "Add: -7 + (-9/419) = -2942/419", "Subtract: 15 - (-2942/419) = 9227/419"], "final_answer": "9227/419", "answer_type": "rational", "kind": "expression", "math_text": "15 - (-7 + (-9) / 419)", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": -7, \"c\": -9, \"d\": 419}", "seed": "2834962689583430622", "semantic_fingerprint": "sha256:3e0e1fa07cecba9c1b3bbb55ab327593724782ab12b4fcb3e36b440c91f73407", "generator_version": "3.0"}
{"id": "v3_test_id_00005957", "prompt": "Evaluate: -22 / 6 / 46", "solution_steps": ["Divide: -22 / 6 = -11/3", "Divide: (-11/3) / 46 = -11/138"], "final_answer": "-11/138", "answer_type": "rational", "kind": "expression", "math_text": "-22 / 6 / 46", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": 6, \"c\": 46}", "seed": "3391390446878200082", "semantic_fingerprint": "sha256:a7bd2bdf4e6a48e9cbc5542e65fb4fd85e293395c918c51ec6374b7439ee38b4", "generator_version": "3.0"}
{"id": "v3_test_id_00005958", "prompt": "What is 75 * (-384 - 42)?", "solution_steps": ["Subtract: -384 - 42 = -426", "Multiply: 75 * (-426) = -31950"], "final_answer": "-31950", "answer_type": "integer", "kind": "expression", "math_text": "75 * (-384 - 42)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": -384, \"c\": 42}", "seed": "343188377617142083", "semantic_fingerprint": "sha256:00d72f0459126462b9ae444c873b11a14657f6ab9cb5c1ba3157ff143dcba047", "generator_version": "3.0"}
{"id": "v3_test_id_00005959", "prompt": "What is 9 * ((1 + 29 - (29 - (-240))) / (-9))?", "solution_steps": ["Add: 1 + 29 = 30", "Subtract: 29 - (-240) = 269", "Subtract: 30 - 269 = -239", "Divide: -239 / (-9) = 239/9", "Multiply: 9 * (239/9) = 239"], "final_answer": "239", "answer_type": "integer", "kind": "expression", "math_text": "9 * ((1 + 29 - (29 - (-240))) / (-9))", "variable": null, "family": "expression_5op", "shape": "(* n (/ (- (+ n n) (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 1, \"c\": 29, \"d\": 29, \"e\": -240, \"f\": -9}", "seed": "11216745601035413337", "semantic_fingerprint": "sha256:5247a02016639caed3a3bb5ca36d542cd98ab4dc701e4b144d635c17f7f93eb9", "generator_version": "3.0"}
{"id": "v3_test_id_00005960", "prompt": "Find x: 11x = -11x + 66", "solution_steps": ["Add 11x to both sides: 22x = 66", "Divide both sides by 22: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = -11x + 66", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -11, \"d\": 66, \"x\": 3}", "seed": "9175105707793279479", "semantic_fingerprint": "sha256:2ebe896497aa6aa2690588a9247ce45633c5b07bdd70f1b1116112be2258f5c8", "generator_version": "3.0"}
{"id": "v3_test_id_00005961", "prompt": "Find x: 6(x + 46) - 346 = x", "solution_steps": ["Expand: 6x + 276 - 346 = x", "Combine constants: 6x - 70 = x", "Subtract x from both sides: 5x - 70 = 0", "Add 70 to both sides: 5x = 70", "Divide both sides by 5: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 46) - 346 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 46, \"d\": -346, \"x\": 14}", "seed": "11054745020694348036", "semantic_fingerprint": "sha256:a150d0aaab5c8c929bd72c4f3d074bc5841bb2db7059c7630830cab69d0bd266", "generator_version": "3.0"}
{"id": "v3_test_id_00005962", "prompt": "What is 886 * 5 * 6 + (-41 + 27)?", "solution_steps": ["Multiply: 886 * 5 = 4430", "Multiply: 4430 * 6 = 26580", "Add: -41 + 27 = -14", "Add: 26580 + (-14) = 26566"], "final_answer": "26566", "answer_type": "integer", "kind": "expression", "math_text": "886 * 5 * 6 + (-41 + 27)", "variable": null, "family": "expression_4op", "shape": "(+ (* (* n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 886, \"b\": 5, \"c\": 6, \"d\": -41, \"e\": 27}", "seed": "8976919593194887640", "semantic_fingerprint": "sha256:94d34cd6cc3bf5ad694a93f06ff77785af8c5482631c458b2bab60dee64147ab", "generator_version": "3.0"}
{"id": "v3_test_id_00005963", "prompt": "Solve the equation 10x = 6x - 64 for x.", "solution_steps": ["Subtract 6x from both sides: 4x = -64", "Divide both sides by 4: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = 6x - 64", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 6, \"d\": -64, \"x\": -16}", "seed": "2186047035697152724", "semantic_fingerprint": "sha256:7f977bae643a3a6629a32400eb44c0d151237c09f326ca9a46ee55cf3d7d2d28", "generator_version": "3.0"}
{"id": "v3_test_id_00005964", "prompt": "Calculate: 35 * (75 / 148) - (-2)", "solution_steps": ["Divide: 75 / 148 = 75/148", "Multiply: 35 * (75/148) = 2625/148", "Subtract: 2625/148 - (-2) = 2921/148"], "final_answer": "2921/148", "answer_type": "rational", "kind": "expression", "math_text": "35 * (75 / 148) - (-2)", "variable": null, "family": "expression_3op", "shape": "(- (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 35, \"b\": 75, \"c\": 148, \"d\": -2}", "seed": "9068182113550795197", "semantic_fingerprint": "sha256:a442b308cfb1d3eeefd333cede4a72827148e5fa2a9bd4ae49bcfa43ac79899d", "generator_version": "3.0"}
{"id": "v3_test_id_00005965", "prompt": "Evaluate: 653 / 5 + (-99)", "solution_steps": ["Divide: 653 / 5 = 653/5", "Add: 653/5 + (-99) = 158/5"], "final_answer": "158/5", "answer_type": "rational", "kind": "expression", "math_text": "653 / 5 + (-99)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 653, \"b\": 5, \"c\": -99}", "seed": "6835435508958665675", "semantic_fingerprint": "sha256:1d8c90a53638fc6270597fe8cfedce2f050bfac4f8a9449185cf937de13d2bf0", "generator_version": "3.0"}
{"id": "v3_test_id_00005966", "prompt": "Calculate: -130 / (-53) - (94 + (-52) + (-702))", "solution_steps": ["Divide: -130 / (-53) = 130/53", "Add: 94 + (-52) = 42", "Add: 42 + (-702) = -660", "Subtract: 130/53 - (-660) = 35110/53"], "final_answer": "35110/53", "answer_type": "rational", "kind": "expression", "math_text": "-130 / (-53) - (94 + (-52) + (-702))", "variable": null, "family": "expression_4op", "shape": "(- (/ n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -130, \"b\": -53, \"c\": 94, \"d\": -52, \"e\": -702}", "seed": "1836745143830757099", "semantic_fingerprint": "sha256:c8e933a4ce25aafc38fef9d15ebf8abef78a65e0b2fd83ba9912b828c83d6170", "generator_version": "3.0"}
{"id": "v3_test_id_00005967", "prompt": "Compute: 851 / (-94 + (-37))", "solution_steps": ["Add: -94 + (-37) = -131", "Divide: 851 / (-131) = -851/131"], "final_answer": "-851/131", "answer_type": "rational", "kind": "expression", "math_text": "851 / (-94 + (-37))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 851, \"b\": -94, \"c\": -37}", "seed": "6350091981613537332", "semantic_fingerprint": "sha256:6f8fb1869a1eeffc8aefe68c44ab80822879b91a8699ff81f6c53eb59df646e3", "generator_version": "3.0"}
{"id": "v3_test_id_00005968", "prompt": "Find x: -5x + 7 = 3x + 23", "solution_steps": ["Subtract 3x from both sides: -8x + 7 = 23", "Subtract 7 from both sides: -8x = 16", "Divide both sides by -8: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x + 7 = 3x + 23", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 7, \"c\": 3, \"e\": 23, \"x\": -2}", "seed": "16585160447697402093", "semantic_fingerprint": "sha256:9bc6ffc51c31fe1f6338bc1961ad0694e5c0630c364335e5fc6117b6285bfd49", "generator_version": "3.0"}
{"id": "v3_test_id_00005969", "prompt": "Solve for x: 2(x + 7) - 27 = -11x", "solution_steps": ["Expand: 2x + 14 - 27 = -11x", "Combine constants: 2x - 13 = -11x", "Add 11x to both sides: 13x - 13 = 0", "Add 13 to both sides: 13x = 13", "Divide both sides by 13: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 7) - 27 = -11x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 7, \"c\": -11, \"e\": -27, \"x\": 1}", "seed": "546838209963540419", "semantic_fingerprint": "sha256:667c1b884f5b07541071a06ac3e4dc9b4f7be95901c3dc1fdb94d5f5947d4d0a", "generator_version": "3.0"}
{"id": "v3_test_id_00005970", "prompt": "Calculate: -50 - 8", "solution_steps": ["Subtract: -50 - 8 = -58"], "final_answer": "-58", "answer_type": "integer", "kind": "expression", "math_text": "-50 - 8", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": 8}", "seed": "14303158005020620406", "semantic_fingerprint": "sha256:4f749d2baf73caf2fc0e83f88f72a285b1cecf8acddbdbed70b3ea83eee97391", "generator_version": "3.0"}
{"id": "v3_test_id_00005971", "prompt": "Calculate: -381 + (-42) - (-17) * (-64)", "solution_steps": ["Add: -381 + (-42) = -423", "Multiply: -17 * (-64) = 1088", "Subtract: -423 - 1088 = -1511"], "final_answer": "-1511", "answer_type": "integer", "kind": "expression", "math_text": "-381 + (-42) - (-17) * (-64)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -381, \"b\": -42, \"c\": -17, \"d\": -64}", "seed": "6294203596897406328", "semantic_fingerprint": "sha256:0a74386e3fc091f0734d20f98b00c58c0e2c2d464a4c09b6c47e62fa6202ce07", "generator_version": "3.0"}
{"id": "v3_test_id_00005972", "prompt": "Compute: 0 / 696", "solution_steps": ["Divide: 0 / 696 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / 696", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 696}", "seed": "16005083798591898588", "semantic_fingerprint": "sha256:13cde0c6ca9fe1ed9e985a51e509810203c1ca8fa57885e41c2ccf5774ee15b6", "generator_version": "3.0"}
{"id": "v3_test_id_00005973", "prompt": "Compute: -14 / 45 + 4", "solution_steps": ["Divide: -14 / 45 = -14/45", "Add: -14/45 + 4 = 166/45"], "final_answer": "166/45", "answer_type": "rational", "kind": "expression", "math_text": "-14 / 45 + 4", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -14, \"b\": 45, \"c\": 4}", "seed": "10007022507739447386", "semantic_fingerprint": "sha256:329999c30de3ac3e4fa653ef20044715dc33791c6eafd9bb5939414ecb85201c", "generator_version": "3.0"}
{"id": "v3_test_id_00005974", "prompt": "Evaluate: (56 - (-170)) / (-3)", "solution_steps": ["Subtract: 56 - (-170) = 226", "Divide: 226 / (-3) = -226/3"], "final_answer": "-226/3", "answer_type": "rational", "kind": "expression", "math_text": "(56 - (-170)) / (-3)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": -170, \"c\": -3}", "seed": "582366514193910347", "semantic_fingerprint": "sha256:4d9d71e078563b473a96ad4f31be7e7fd54107c448ebf83fc3e08d83d2b31872", "generator_version": "3.0"}
{"id": "v3_test_id_00005975", "prompt": "Compute: -46 * 42 + (-67)", "solution_steps": ["Multiply: -46 * 42 = -1932", "Add: -1932 + (-67) = -1999"], "final_answer": "-1999", "answer_type": "integer", "kind": "expression", "math_text": "-46 * 42 + (-67)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": 42, \"c\": -67}", "seed": "12472717465825576070", "semantic_fingerprint": "sha256:83117a93555f18a661ba35a6097440001e20e0090485e93c122cce28cb5a7d13", "generator_version": "3.0"}
{"id": "v3_test_id_00005976", "prompt": "What value of x satisfies -5(x + 95) = 3x - 587?", "solution_steps": ["Expand: -5x - 475 = 3x - 587", "Subtract 3x from both sides: -8x - 475 = -587", "Add 475 to both sides: -8x = -112", "Divide both sides by -8: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 95) = 3x - 587", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 95, \"c\": 3, \"e\": -587, \"x\": 14}", "seed": "3565763337870292648", "semantic_fingerprint": "sha256:db77bb495bc171739c9bd2efbc8d591731fd7adb5625ef78289ddd74d78e4a2a", "generator_version": "3.0"}
{"id": "v3_test_id_00005977", "prompt": "Solve for x: -2(x - 83) - 148 = x", "solution_steps": ["Expand: -2x + 166 - 148 = x", "Combine constants: -2x + 18 = x", "Subtract x from both sides: -3x + 18 = 0", "Subtract 18 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 - 83) - 148 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 83, \"d\": -148, \"x\": 6}", "seed": "16336794957258913719", "semantic_fingerprint": "sha256:9982db7b81818e5d29f6561b8c9fff08a547da419de273659a373f27ef11afea", "generator_version": "3.0"}
{"id": "v3_test_id_00005978", "prompt": "Calculate: -1 + (-603 + 0)", "solution_steps": ["Add: -603 + 0 = -603", "Add: -1 + (-603) = -604"], "final_answer": "-604", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (-603 + 0)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -603, \"c\": 0}", "seed": "13341557527008145562", "semantic_fingerprint": "sha256:80d9776be21396faf783e66541d578d3d1935c308aabec4b48b0d362ea899d37", "generator_version": "3.0"}
{"id": "v3_test_id_00005979", "prompt": "Solve for x: x - 4 = -9(x - 2) - 1", "solution_steps": ["Expand: x - 4 = -9x + 18 - 1", "Combine constants: x - 4 = -9x + 17", "Add 9x to both sides: 10x - 4 = 17", "Add 4 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": "x - 4 = -9(x - 2) - 1", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -9, \"c\": 2, \"d\": 1}", "seed": "17471065809945032675", "semantic_fingerprint": "sha256:81ade32bc58d7c99b8002644c48ad361d80eb79531570cf3086d62eafa98e2a0", "generator_version": "3.0"}
{"id": "v3_test_id_00005980", "prompt": "What is -8 / (-82)?", "solution_steps": ["Divide: -8 / (-82) = 4/41"], "final_answer": "4/41", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (-82)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -82}", "seed": "8956424166378066005", "semantic_fingerprint": "sha256:10cff27ee5b5920b58b0f3ffa901b3cf852db9e549b83a42f2f962c5ec5b80d1", "generator_version": "3.0"}
{"id": "v3_test_id_00005981", "prompt": "What is (835 + 2) * (98 / (-833 * 7))?", "solution_steps": ["Add: 835 + 2 = 837", "Multiply: -833 * 7 = -5831", "Divide: 98 / (-5831) = -2/119", "Multiply: 837 * (-2/119) = -1674/119"], "final_answer": "-1674/119", "answer_type": "rational", "kind": "expression", "math_text": "(835 + 2) * (98 / (-833 * 7))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (/ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 835, \"b\": 2, \"c\": 98, \"d\": -833, \"e\": 7}", "seed": "17974087742697856677", "semantic_fingerprint": "sha256:b42758a5689d2d6d12ec8ecbe532e1d31b2f06496f5d9b332c9b27d9f99d7d8b", "generator_version": "3.0"}
{"id": "v3_test_id_00005982", "prompt": "Solve the equation 8(x - 89) - 7 = 6(x + 319) - 651 for x.", "solution_steps": ["Expand: 8x - 712 - 7 = 6(x + 319) - 651", "Expand: 8x - 712 - 7 = 6x + 1914 - 651", "Combine constants: 8x - 719 = 6x + 1914 - 651", "Combine constants: 8x - 719 = 6x + 1263", "Subtract 6x from both sides: 2x - 719 = 1263", "Add 719 to both sides: 2x = 1982", "Divide both sides by 2: x = 991"], "final_answer": "991", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 89) - 7 = 6(x + 319) - 651", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 89, \"c\": 7, \"d\": 6, \"e\": 319, \"f\": 651}", "seed": "7085651065990589491", "semantic_fingerprint": "sha256:6cb48bd1686ce59762983963c5523fdb6781e506c502a67177d3b21f0168e47f", "generator_version": "3.0"}
{"id": "v3_test_id_00005983", "prompt": "Compute: 150 * (-4) / (-42)", "solution_steps": ["Multiply: 150 * (-4) = -600", "Divide: -600 / (-42) = 100/7"], "final_answer": "100/7", "answer_type": "rational", "kind": "expression", "math_text": "150 * (-4) / (-42)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 150, \"b\": -4, \"c\": -42}", "seed": "1572756815126696070", "semantic_fingerprint": "sha256:e757886eb136e0718f47dffd28b72dc2ae757739ffbcce9a711d8bcca54e6027", "generator_version": "3.0"}
{"id": "v3_test_id_00005984", "prompt": "Solve the equation -5x = -11x + 78 for x.", "solution_steps": ["Add 11x to both sides: 6x = 78", "Divide both sides by 6: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5x = -11x + 78", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -11, \"d\": 78, \"x\": 13}", "seed": "11667406129007244812", "semantic_fingerprint": "sha256:a13163327951378a67ed82a94709d497631f5f33f5cc8dd4db85c0a7e120228d", "generator_version": "3.0"}
{"id": "v3_test_id_00005985", "prompt": "Solve for x: -2x + 6 = 7x - 12", "solution_steps": ["Subtract 7x from both sides: -9x + 6 = -12", "Subtract 6 from both sides: -9x = -18", "Divide both sides by -9: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x + 6 = 7x - 12", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 6, \"c\": 7, \"e\": -12, \"x\": 2}", "seed": "18255979779293905851", "semantic_fingerprint": "sha256:0a1881a66416b0be8de3afaceb1b5e9db59e50590f2a4915cf647e2c9d3c95d0", "generator_version": "3.0"}
{"id": "v3_test_id_00005986", "prompt": "What value of x satisfies x = 5(x + 56)?", "solution_steps": ["Expand: x = 5x + 280", "Subtract 5x from both sides: -4x = 280", "Divide both sides by -4: x = -70"], "final_answer": "-70", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 5(x + 56)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 56}", "seed": "18277201564787755908", "semantic_fingerprint": "sha256:793ff20724505cf65d78b0d54d7adae583f0ee44ae0255ec7041368d29473986", "generator_version": "3.0"}
{"id": "v3_test_id_00005987", "prompt": "Calculate: (-5 / (-2) + 6) / 9", "solution_steps": ["Divide: -5 / (-2) = 5/2", "Add: 5/2 + 6 = 17/2", "Divide: (17/2) / 9 = 17/18"], "final_answer": "17/18", "answer_type": "rational", "kind": "expression", "math_text": "(-5 / (-2) + 6) / 9", "variable": null, "family": "expression_3op", "shape": "(/ (+ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -2, \"c\": 6, \"d\": 9}", "seed": "15254300237797505476", "semantic_fingerprint": "sha256:a6921b94ebcc7320680662e450d05db0df5d65083dcccc4b605aea5b10aa1537", "generator_version": "3.0"}
{"id": "v3_test_id_00005988", "prompt": "Solve for x: 7(x + 99) = 5x", "solution_steps": ["Expand: 7x + 693 = 5x", "Subtract 5x from both sides: 2x + 693 = 0", "Subtract 693 from both sides: 2x = -693", "Divide both sides by 2: x = -693/2"], "final_answer": "-693/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 99) = 5x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 99, \"c\": 5}", "seed": "14152307465574562222", "semantic_fingerprint": "sha256:3909b8ba80d1b6670c002bbaf2be4c1a798bcb8659a40b0ff3f164a5c148e92b", "generator_version": "3.0"}
{"id": "v3_test_id_00005989", "prompt": "Evaluate: -52 + (-56) * 78 / (-428 / (-8) + 1)", "solution_steps": ["Multiply: -56 * 78 = -4368", "Divide: -428 / (-8) = 107/2", "Add: 107/2 + 1 = 109/2", "Divide: -4368 / (109/2) = -8736/109", "Add: -52 + (-8736/109) = -14404/109"], "final_answer": "-14404/109", "answer_type": "rational", "kind": "expression", "math_text": "-52 + (-56) * 78 / (-428 / (-8) + 1)", "variable": null, "family": "expression_5op", "shape": "(+ n (/ (* n n) (+ (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": -56, \"c\": 78, \"d\": -428, \"e\": -8, \"f\": 1}", "seed": "17610876634394392935", "semantic_fingerprint": "sha256:bdcdb9c974679373b15a3c88e06f50b7546d0c7e69bd6618551f11952d2c98a7", "generator_version": "3.0"}
{"id": "v3_test_id_00005990", "prompt": "Calculate: 99 / (-224 * (-3))", "solution_steps": ["Multiply: -224 * (-3) = 672", "Divide: 99 / 672 = 33/224"], "final_answer": "33/224", "answer_type": "rational", "kind": "expression", "math_text": "99 / (-224 * (-3))", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": -224, \"c\": -3}", "seed": "1494169589489812692", "semantic_fingerprint": "sha256:6e30eb71d3112cfb5b7f24116b906033b557acf0cc33663780114bae68760c30", "generator_version": "3.0"}
{"id": "v3_test_id_00005991", "prompt": "Compute: -73 / (-49) / 68", "solution_steps": ["Divide: -73 / (-49) = 73/49", "Divide: (73/49) / 68 = 73/3332"], "final_answer": "73/3332", "answer_type": "rational", "kind": "expression", "math_text": "-73 / (-49) / 68", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": -49, \"c\": 68}", "seed": "12320397407947457632", "semantic_fingerprint": "sha256:a312dee1141ec1aa9209293c637bfe9fce8ea6f634df472c00d0bb0d2c8f1ab9", "generator_version": "3.0"}
{"id": "v3_test_id_00005992", "prompt": "What is 4 - (-22)?", "solution_steps": ["Subtract: 4 - (-22) = 26"], "final_answer": "26", "answer_type": "integer", "kind": "expression", "math_text": "4 - (-22)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -22}", "seed": "4629776041929524211", "semantic_fingerprint": "sha256:aaaeca1ca6751f8b14088036b9ffc6650b8705e6453e84cdc8473c89271a4ff0", "generator_version": "3.0"}
{"id": "v3_test_id_00005993", "prompt": "Calculate: 176 - (-863)", "solution_steps": ["Subtract: 176 - (-863) = 1039"], "final_answer": "1039", "answer_type": "integer", "kind": "expression", "math_text": "176 - (-863)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 176, \"b\": -863}", "seed": "15921876890341960222", "semantic_fingerprint": "sha256:04684f23a1e906e57cb2e8d232c6c3f6738ee17f2f70be77e9c8bb85476c9f9a", "generator_version": "3.0"}
{"id": "v3_test_id_00005994", "prompt": "Compute: -6 / 6", "solution_steps": ["Divide: -6 / 6 = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "expression", "math_text": "-6 / 6", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 6}", "seed": "17058288773493237628", "semantic_fingerprint": "sha256:db941266e7a5c43977ebb17a4307a50eaa0ec84ffd658189695c7d9a65239774", "generator_version": "3.0"}
{"id": "v3_test_id_00005995", "prompt": "Evaluate: 700 / (77 / (-14) + (-1))", "solution_steps": ["Divide: 77 / (-14) = -11/2", "Add: -11/2 + (-1) = -13/2", "Divide: 700 / (-13/2) = -1400/13"], "final_answer": "-1400/13", "answer_type": "rational", "kind": "expression", "math_text": "700 / (77 / (-14) + (-1))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 700, \"b\": 77, \"c\": -14, \"d\": -1}", "seed": "6831547005280208066", "semantic_fingerprint": "sha256:20f739056e8e5f197e62936004e37a8b4c8ca3a7a70e2cfcc57a7cdc6b718510", "generator_version": "3.0"}
{"id": "v3_test_id_00005996", "prompt": "Calculate: 64 * (94 - (-419 - (-175))) + 6", "solution_steps": ["Subtract: -419 - (-175) = -244", "Subtract: 94 - (-244) = 338", "Multiply: 64 * 338 = 21632", "Add: 21632 + 6 = 21638"], "final_answer": "21638", "answer_type": "integer", "kind": "expression", "math_text": "64 * (94 - (-419 - (-175))) + 6", "variable": null, "family": "expression_4op", "shape": "(+ (* n (- n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": 94, \"c\": -419, \"d\": -175, \"e\": 6}", "seed": "6901770804341021492", "semantic_fingerprint": "sha256:ae577e6c273e71def1c3a53f0fab33bee4ef9481c33ce2561ecce6ab4090102a", "generator_version": "3.0"}
{"id": "v3_test_id_00005997", "prompt": "What is -2 / (57 + (-6) + 48) - (-897) + (-5)?", "solution_steps": ["Add: 57 + (-6) = 51", "Add: 51 + 48 = 99", "Divide: -2 / 99 = -2/99", "Subtract: -2/99 - (-897) = 88801/99", "Add: 88801/99 + (-5) = 88306/99"], "final_answer": "88306/99", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (57 + (-6) + 48) - (-897) + (-5)", "variable": null, "family": "expression_5op", "shape": "(+ (- (/ n (+ (+ n n) n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 57, \"c\": -6, \"d\": 48, \"e\": -897, \"f\": -5}", "seed": "3433335321809682015", "semantic_fingerprint": "sha256:c4e1fbcfce2b0e58c3103756444a49edff83d3afcb3108e7bea0946e964b3bd6", "generator_version": "3.0"}
{"id": "v3_test_id_00005998", "prompt": "Find x: 4(x + 50) - 6 = 10(x + 95) - 726", "solution_steps": ["Expand: 4x + 200 - 6 = 10(x + 95) - 726", "Expand: 4x + 200 - 6 = 10x + 950 - 726", "Combine constants: 4x + 194 = 10x + 950 - 726", "Combine constants: 4x + 194 = 10x + 224", "Subtract 10x from both sides: -6x + 194 = 224", "Subtract 194 from both sides: -6x = 30", "Divide both sides by -6: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 50) - 6 = 10(x + 95) - 726", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 50, \"c\": 6, \"d\": 10, \"e\": 95, \"g\": -726, \"x\": -5}", "seed": "14721705663188269111", "semantic_fingerprint": "sha256:752ae1bb080df8cd994e45ea00422cc6d5c89ca1c378b51d567afa90c0bebfd2", "generator_version": "3.0"}
{"id": "v3_test_id_00005999", "prompt": "What is -3 - 68?", "solution_steps": ["Subtract: -3 - 68 = -71"], "final_answer": "-71", "answer_type": "integer", "kind": "expression", "math_text": "-3 - 68", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 68}", "seed": "15046179711911576819", "semantic_fingerprint": "sha256:126531dff38bc15abe2eb060f92d29b447d3adb7ccffa18e3cfac3671866fe67", "generator_version": "3.0"}
{"id": "v3_test_id_00006000", "prompt": "Compute: (11 + (-82)) * 880 + 0", "solution_steps": ["Add: 11 + (-82) = -71", "Multiply: -71 * 880 = -62480", "Add: -62480 + 0 = -62480"], "final_answer": "-62480", "answer_type": "integer", "kind": "expression", "math_text": "(11 + (-82)) * 880 + 0", "variable": null, "family": "expression_3op", "shape": "(+ (* (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -82, \"c\": 880, \"d\": 0}", "seed": "1996580258708432863", "semantic_fingerprint": "sha256:7eeae9e0118026db4b5d1057a623e7828ae2006293a7db7a070575c5264dc9a8", "generator_version": "3.0"}
{"id": "v3_test_id_00006001", "prompt": "Solve for x: 7x + 58 = 10x + 61", "solution_steps": ["Subtract 10x from both sides: -3x + 58 = 61", "Subtract 58 from both sides: -3x = 3", "Divide both sides by -3: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 58 = 10x + 61", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 58, \"c\": 10, \"e\": 61, \"x\": -1}", "seed": "9782996470032423193", "semantic_fingerprint": "sha256:1ea4180cfb791ea872feafa40d5f1e26af439479e1c3f3d2e34bdd08c4733ea0", "generator_version": "3.0"}
{"id": "v3_test_id_00006002", "prompt": "Calculate: 8 / 83 / (-38)", "solution_steps": ["Divide: 8 / 83 = 8/83", "Divide: (8/83) / (-38) = -4/1577"], "final_answer": "-4/1577", "answer_type": "rational", "kind": "expression", "math_text": "8 / 83 / (-38)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 83, \"c\": -38}", "seed": "16120876213843908749", "semantic_fingerprint": "sha256:7e8c4961d51846c55d9cc7ff87cdc27c36ad0270fa0ea91082231e81e47443ee", "generator_version": "3.0"}
{"id": "v3_test_id_00006003", "prompt": "What is 718 + (-829) * 646 / (-30)?", "solution_steps": ["Multiply: -829 * 646 = -535534", "Divide: -535534 / (-30) = 267767/15", "Add: 718 + 267767/15 = 278537/15"], "final_answer": "278537/15", "answer_type": "rational", "kind": "expression", "math_text": "718 + (-829) * 646 / (-30)", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 718, \"b\": -829, \"c\": 646, \"d\": -30}", "seed": "18001466147144626153", "semantic_fingerprint": "sha256:8e10f3b84f4faa442b0157cb0491700a371061b5d16be526f4ae6b7525ae0823", "generator_version": "3.0"}
{"id": "v3_test_id_00006004", "prompt": "Compute: 945 - (-29) / 53", "solution_steps": ["Divide: -29 / 53 = -29/53", "Subtract: 945 - (-29/53) = 50114/53"], "final_answer": "50114/53", "answer_type": "rational", "kind": "expression", "math_text": "945 - (-29) / 53", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 945, \"b\": -29, \"c\": 53}", "seed": "11089432583139180646", "semantic_fingerprint": "sha256:7c3a86732be7aeb9b6418fe7f7128d48aef401c577b8c889b3dfa63a8ca39a50", "generator_version": "3.0"}
{"id": "v3_test_id_00006005", "prompt": "Compute: (-661 / (-96) - 88 * (-1)) * 232 * 9", "solution_steps": ["Divide: -661 / (-96) = 661/96", "Multiply: 88 * (-1) = -88", "Subtract: 661/96 - (-88) = 9109/96", "Multiply: (9109/96) * 232 = 264161/12", "Multiply: (264161/12) * 9 = 792483/4"], "final_answer": "792483/4", "answer_type": "rational", "kind": "expression", "math_text": "(-661 / (-96) - 88 * (-1)) * 232 * 9", "variable": null, "family": "expression_5op", "shape": "(* (* (- (/ n n) (* n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -661, \"b\": -96, \"c\": 88, \"d\": -1, \"e\": 232, \"f\": 9}", "seed": "15471142904509747945", "semantic_fingerprint": "sha256:a33bbdba488a41e4e51f7c2f153a7d816aaf619829f51ac53507b927139aa9e6", "generator_version": "3.0"}
{"id": "v3_test_id_00006006", "prompt": "What is 8 - (-3 + 4 * 7 - 92)?", "solution_steps": ["Multiply: 4 * 7 = 28", "Add: -3 + 28 = 25", "Subtract: 25 - 92 = -67", "Subtract: 8 - (-67) = 75"], "final_answer": "75", "answer_type": "integer", "kind": "expression", "math_text": "8 - (-3 + 4 * 7 - 92)", "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\": 7, \"e\": 92}", "seed": "16754731241308162099", "semantic_fingerprint": "sha256:a155e6467e48ffc5ce62e86985eae5cb0b6faf9ebc7929135a6017bfe567dcd9", "generator_version": "3.0"}
{"id": "v3_test_id_00006007", "prompt": "Compute: -35 - 80 - 59", "solution_steps": ["Subtract: -35 - 80 = -115", "Subtract: -115 - 59 = -174"], "final_answer": "-174", "answer_type": "integer", "kind": "expression", "math_text": "-35 - 80 - 59", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -35, \"b\": 80, \"c\": 59}", "seed": "9011453283531655159", "semantic_fingerprint": "sha256:02afa490a1df322b5af93d2f61d1a888eaa4eaaf8352aa89db29aa0c267c68aa", "generator_version": "3.0"}
{"id": "v3_test_id_00006008", "prompt": "Evaluate: 88 / (312 / 532)", "solution_steps": ["Divide: 312 / 532 = 78/133", "Divide: 88 / (78/133) = 5852/39"], "final_answer": "5852/39", "answer_type": "rational", "kind": "expression", "math_text": "88 / (312 / 532)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": 312, \"c\": 532}", "seed": "8771658291456288417", "semantic_fingerprint": "sha256:8578c5ceff7fba07e0c3bdff2406ab351c963bcb88617373b745e7baa0f3f791", "generator_version": "3.0"}
{"id": "v3_test_id_00006009", "prompt": "Solve for x: x + 63 = 12x + 162", "solution_steps": ["Subtract 12x from both sides: -11x + 63 = 162", "Subtract 63 from both sides: -11x = 99", "Divide both sides by -11: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 63 = 12x + 162", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": 12, \"d\": 162, \"x\": -9}", "seed": "4690600445023805948", "semantic_fingerprint": "sha256:cd12ab307d67dd8fcda7b1214a3d1dc20576124e0e8a670369d36b2759acab62", "generator_version": "3.0"}
{"id": "v3_test_id_00006010", "prompt": "Compute: 6 * 0 * 7", "solution_steps": ["Multiply: 6 * 0 = 0", "Multiply: 0 * 7 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "6 * 0 * 7", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 0, \"c\": 7}", "seed": "5627999608867125750", "semantic_fingerprint": "sha256:5673655aed83c88025afe153db999e7c50d80395fb27de32b879e7a76e3815a8", "generator_version": "3.0"}
{"id": "v3_test_id_00006011", "prompt": "What value of x satisfies 4(x + 9) + 39 = x - 55?", "solution_steps": ["Expand: 4x + 36 + 39 = x - 55", "Combine constants: 4x + 75 = x - 55", "Subtract x from both sides: 3x + 75 = -55", "Subtract 75 from both sides: 3x = -130", "Divide both sides by 3: x = -130/3"], "final_answer": "-130/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 9) + 39 = x - 55", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 39, \"d\": 55}", "seed": "11977028111318927965", "semantic_fingerprint": "sha256:70a34273b6e9229872048be864bc170effe0605b9ae06a2732470c055cb91840", "generator_version": "3.0"}
{"id": "v3_test_id_00006012", "prompt": "Evaluate: 508 - (35 + (35 + (-437)))", "solution_steps": ["Add: 35 + (-437) = -402", "Add: 35 + (-402) = -367", "Subtract: 508 - (-367) = 875"], "final_answer": "875", "answer_type": "integer", "kind": "expression", "math_text": "508 - (35 + (35 + (-437)))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 508, \"b\": 35, \"c\": 35, \"d\": -437}", "seed": "13374116609531368620", "semantic_fingerprint": "sha256:4401e81db02af4e229646e6e668e0a910c787adb50c0fb8584fb082190ccd533", "generator_version": "3.0"}
{"id": "v3_test_id_00006013", "prompt": "Evaluate: 1 * (2 - (-7) * 18)", "solution_steps": ["Multiply: -7 * 18 = -126", "Subtract: 2 - (-126) = 128", "Multiply: 1 * 128 = 128"], "final_answer": "128", "answer_type": "integer", "kind": "expression", "math_text": "1 * (2 - (-7) * 18)", "variable": null, "family": "expression_3op", "shape": "(* n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 2, \"c\": -7, \"d\": 18}", "seed": "13296803932363370334", "semantic_fingerprint": "sha256:3c0c3a701b6326d525ae5f43cbbedd150e32f95f74cf8a3ff7c762563239ded7", "generator_version": "3.0"}
{"id": "v3_test_id_00006014", "prompt": "Find x: x - 25 = 9(x + 10) - 67", "solution_steps": ["Expand: x - 25 = 9x + 90 - 67", "Combine constants: x - 25 = 9x + 23", "Subtract 9x from both sides: -8x - 25 = 23", "Add 25 to both sides: -8x = 48", "Divide both sides by -8: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 25 = 9(x + 10) - 67", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": 9, \"c\": 10, \"e\": -67, \"x\": -6}", "seed": "9836542502656825235", "semantic_fingerprint": "sha256:2bfcc72abf67b1c12ce469d04201980fd8e3e94043e466445921f7c92faee11f", "generator_version": "3.0"}
{"id": "v3_test_id_00006015", "prompt": "What is (26 + (-8 - (-30))) * 548?", "solution_steps": ["Subtract: -8 - (-30) = 22", "Add: 26 + 22 = 48", "Multiply: 48 * 548 = 26304"], "final_answer": "26304", "answer_type": "integer", "kind": "expression", "math_text": "(26 + (-8 - (-30))) * 548", "variable": null, "family": "expression_3op", "shape": "(* (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": -8, \"c\": -30, \"d\": 548}", "seed": "2912206112656918854", "semantic_fingerprint": "sha256:6558613c4063ae9994fdfd7c8588c93940c3d9d2e72d3a0007481b3bbb7e0c97", "generator_version": "3.0"}
{"id": "v3_test_id_00006016", "prompt": "Compute: -7 - (-26)", "solution_steps": ["Subtract: -7 - (-26) = 19"], "final_answer": "19", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (-26)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -26}", "seed": "15452632452948629865", "semantic_fingerprint": "sha256:9fd4ce8464d62aceeb9037252514f0c195ab6577e777db9959a3903ca4008601", "generator_version": "3.0"}
{"id": "v3_test_id_00006017", "prompt": "Calculate: -91 / (-657) / 2", "solution_steps": ["Divide: -91 / (-657) = 91/657", "Divide: (91/657) / 2 = 91/1314"], "final_answer": "91/1314", "answer_type": "rational", "kind": "expression", "math_text": "-91 / (-657) / 2", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -91, \"b\": -657, \"c\": 2}", "seed": "6929907584100239754", "semantic_fingerprint": "sha256:d64f470a00143f708f62c57125bd1300c62519d4af3811bb1d84cbeb315b9df0", "generator_version": "3.0"}
{"id": "v3_test_id_00006018", "prompt": "What is (12 / (-60) - (-72) / (-1)) * 9?", "solution_steps": ["Divide: 12 / (-60) = -1/5", "Divide: -72 / (-1) = 72", "Subtract: -1/5 - 72 = -361/5", "Multiply: (-361/5) * 9 = -3249/5"], "final_answer": "-3249/5", "answer_type": "rational", "kind": "expression", "math_text": "(12 / (-60) - (-72) / (-1)) * 9", "variable": null, "family": "expression_4op", "shape": "(* (- (/ n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -60, \"c\": -72, \"d\": -1, \"e\": 9}", "seed": "8460205076513725231", "semantic_fingerprint": "sha256:4225ce2458000ba56a1e9c45300e0036f47e8f33d9bba06a6bf86fd4c3e159fa", "generator_version": "3.0"}
{"id": "v3_test_id_00006019", "prompt": "Solve the equation 10(x - 76) = 3(x + 98) - 998 for x.", "solution_steps": ["Expand: 10x - 760 = 3(x + 98) - 998", "Expand: 10x - 760 = 3x + 294 - 998", "Combine constants: 10x - 760 = 3x - 704", "Subtract 3x from both sides: 7x - 760 = -704", "Add 760 to both sides: 7x = 56", "Divide both sides by 7: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 76) = 3(x + 98) - 998", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 76, \"c\": 3, \"d\": 98, \"f\": -998, \"x\": 8}", "seed": "12479292960235527475", "semantic_fingerprint": "sha256:9ee539f921b70455af46178c3245ff48feed644e8b6e0484109e79c63a49c397", "generator_version": "3.0"}
{"id": "v3_test_id_00006020", "prompt": "Compute: -53 - 137 + 55 - 381", "solution_steps": ["Subtract: -53 - 137 = -190", "Add: -190 + 55 = -135", "Subtract: -135 - 381 = -516"], "final_answer": "-516", "answer_type": "integer", "kind": "expression", "math_text": "-53 - 137 + 55 - 381", "variable": null, "family": "expression_3op", "shape": "(- (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -53, \"b\": 137, \"c\": 55, \"d\": 381}", "seed": "5551255500743222809", "semantic_fingerprint": "sha256:b03ae7ab97917b7b1dc2a1eefaaae8c3b46b35c50e7e1269364cf091200331d3", "generator_version": "3.0"}
{"id": "v3_test_id_00006021", "prompt": "Solve for x: x + 1 = -12(x + 67) + 42", "solution_steps": ["Expand: x + 1 = -12x - 804 + 42", "Combine constants: x + 1 = -12x - 762", "Add 12x to both sides: 13x + 1 = -762", "Subtract 1 from both sides: 13x = -763", "Divide both sides by 13: x = -763/13"], "final_answer": "-763/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 1 = -12(x + 67) + 42", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -12, \"c\": 67, \"d\": 42}", "seed": "12381283775375550654", "semantic_fingerprint": "sha256:c732d3ab4eba1c9a51b3ecc3f323b482baf0a9022911a16c4e551b022cc275b6", "generator_version": "3.0"}
{"id": "v3_test_id_00006022", "prompt": "What value of x satisfies 7(x - 90) + 305 = 11x?", "solution_steps": ["Expand: 7x - 630 + 305 = 11x", "Combine constants: 7x - 325 = 11x", "Subtract 11x from both sides: -4x - 325 = 0", "Add 325 to both sides: -4x = 325", "Divide both sides by -4: x = -325/4"], "final_answer": "-325/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 90) + 305 = 11x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 90, \"c\": 305, \"d\": 11}", "seed": "1592545982149131263", "semantic_fingerprint": "sha256:301749ca6b7f46beeec8375667ad05b49155c32b6ba05116b08465674dff8c0b", "generator_version": "3.0"}
{"id": "v3_test_id_00006023", "prompt": "Find x: 10(x - 774) - 177 = x - 386", "solution_steps": ["Expand: 10x - 7740 - 177 = x - 386", "Combine constants: 10x - 7917 = x - 386", "Subtract x from both sides: 9x - 7917 = -386", "Add 7917 to both sides: 9x = 7531", "Divide both sides by 9: x = 7531/9"], "final_answer": "7531/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 774) - 177 = x - 386", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 774, \"c\": 177, \"d\": 386}", "seed": "14844309932475132262", "semantic_fingerprint": "sha256:bab481c49f954fff9aae622da407ed63878e742fefac696afba4cd6d89b2a65b", "generator_version": "3.0"}
{"id": "v3_test_id_00006024", "prompt": "Calculate: 93 + (60 + 70) * 883", "solution_steps": ["Add: 60 + 70 = 130", "Multiply: 130 * 883 = 114790", "Add: 93 + 114790 = 114883"], "final_answer": "114883", "answer_type": "integer", "kind": "expression", "math_text": "93 + (60 + 70) * 883", "variable": null, "family": "expression_3op", "shape": "(+ n (* (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 93, \"b\": 60, \"c\": 70, \"d\": 883}", "seed": "8039049895790826162", "semantic_fingerprint": "sha256:67c397a9fe73228e6c585c42c7d0b1c5e7d5b293b8b98d00eece3f8ebf8706d4", "generator_version": "3.0"}
{"id": "v3_test_id_00006025", "prompt": "Calculate: 49 - 9 - 8", "solution_steps": ["Subtract: 49 - 9 = 40", "Subtract: 40 - 8 = 32"], "final_answer": "32", "answer_type": "integer", "kind": "expression", "math_text": "49 - 9 - 8", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 49, \"b\": 9, \"c\": 8}", "seed": "7290114968929386406", "semantic_fingerprint": "sha256:dba14a2acfb3f4f689c4d04b4aab3fa4ce859074f91afc6af4dd2af3d00b514a", "generator_version": "3.0"}
{"id": "v3_test_id_00006026", "prompt": "What value of x satisfies 2(x + 37) + 1 = x?", "solution_steps": ["Expand: 2x + 74 + 1 = x", "Combine constants: 2x + 75 = x", "Subtract x from both sides: x + 75 = 0", "Subtract 75 from both sides: x = -75"], "final_answer": "-75", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 37) + 1 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 37, \"c\": 1}", "seed": "9845192957020256172", "semantic_fingerprint": "sha256:1ba0b8d81efc162c293b905da0fd9ae6d09de619cbb00433cd80d49f3388f843", "generator_version": "3.0"}
{"id": "v3_test_id_00006027", "prompt": "Calculate: -8 - (-66) - (-783) * 993 / 39", "solution_steps": ["Subtract: -8 - (-66) = 58", "Multiply: -783 * 993 = -777519", "Divide: -777519 / 39 = -259173/13", "Subtract: 58 - (-259173/13) = 259927/13"], "final_answer": "259927/13", "answer_type": "rational", "kind": "expression", "math_text": "-8 - (-66) - (-783) * 993 / 39", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -66, \"c\": -783, \"d\": 993, \"e\": 39}", "seed": "11956844949175887912", "semantic_fingerprint": "sha256:e1dfcb12ecf685afe4ffe067f8a6b3fd91d985755f84a357a4e9df85bb48cc05", "generator_version": "3.0"}
{"id": "v3_test_id_00006028", "prompt": "Find x: 2(x + 15) + 630 = 8x - 531", "solution_steps": ["Expand: 2x + 30 + 630 = 8x - 531", "Combine constants: 2x + 660 = 8x - 531", "Subtract 8x from both sides: -6x + 660 = -531", "Subtract 660 from both sides: -6x = -1191", "Divide both sides by -6: x = 397/2"], "final_answer": "397/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 15) + 630 = 8x - 531", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 15, \"c\": 630, \"d\": 8, \"e\": 531}", "seed": "2218249453086880652", "semantic_fingerprint": "sha256:6d31c9e944aa324a838c258f19411539189be42120fc796b57f146505f1d801f", "generator_version": "3.0"}
{"id": "v3_test_id_00006029", "prompt": "What value of x satisfies -6(x - 2) - 74 = 52?", "solution_steps": ["Expand: -6x + 12 - 74 = 52", "Combine constants: -6x - 62 = 52", "Add 62 to both sides: -6x = 114", "Divide both sides by -6: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x - 2) - 74 = 52", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 2, \"c\": 74, \"e\": 52, \"x\": -19}", "seed": "14806502981167931721", "semantic_fingerprint": "sha256:0f9a26362887dbde7297b3a108bc54316c0317e3574f18a2e6718964dc38fd3f", "generator_version": "3.0"}
{"id": "v3_test_id_00006030", "prompt": "What value of x satisfies 12x + 3 = 2(x + 8) + 27?", "solution_steps": ["Expand: 12x + 3 = 2x + 16 + 27", "Combine constants: 12x + 3 = 2x + 43", "Subtract 2x from both sides: 10x + 3 = 43", "Subtract 3 from both sides: 10x = 40", "Divide both sides by 10: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 3 = 2(x + 8) + 27", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 3, \"c\": 2, \"d\": 8, \"f\": 27, \"x\": 4}", "seed": "10212927261783917432", "semantic_fingerprint": "sha256:67d01e67b85ca88ec069b0187fdef8a60c9bac3ffd5deb2c75275346219a2bf3", "generator_version": "3.0"}
{"id": "v3_test_id_00006031", "prompt": "Solve the equation 6(x - 8) + 7 = -6(x - 35) - 83 for x.", "solution_steps": ["Expand: 6x - 48 + 7 = -6(x - 35) - 83", "Expand: 6x - 48 + 7 = -6x + 210 - 83", "Combine constants: 6x - 41 = -6x + 210 - 83", "Combine constants: 6x - 41 = -6x + 127", "Add 6x to both sides: 12x - 41 = 127", "Add 41 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 - 8) + 7 = -6(x - 35) - 83", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 8, \"c\": 7, \"d\": -6, \"e\": 35, \"g\": -83, \"x\": 14}", "seed": "11072552329310198417", "semantic_fingerprint": "sha256:a1a782c9a6d04ebc0e28b0336cfa88b0e155152a9599cb65ff856736e31aa24a", "generator_version": "3.0"}
{"id": "v3_test_id_00006032", "prompt": "What is (2 - (-16) / 642) * (-48)?", "solution_steps": ["Divide: -16 / 642 = -8/321", "Subtract: 2 - (-8/321) = 650/321", "Multiply: (650/321) * (-48) = -10400/107"], "final_answer": "-10400/107", "answer_type": "rational", "kind": "expression", "math_text": "(2 - (-16) / 642) * (-48)", "variable": null, "family": "expression_3op", "shape": "(* (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -16, \"c\": 642, \"d\": -48}", "seed": "4433951409550309003", "semantic_fingerprint": "sha256:61d182f4e309fbdd9f8ddfd165f7a489947d703f0a91493a3f7088d2c77ae40c", "generator_version": "3.0"}
{"id": "v3_test_id_00006033", "prompt": "What is 3 - 7 / (-71)?", "solution_steps": ["Divide: 7 / (-71) = -7/71", "Subtract: 3 - (-7/71) = 220/71"], "final_answer": "220/71", "answer_type": "rational", "kind": "expression", "math_text": "3 - 7 / (-71)", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": -71}", "seed": "10018825049314845156", "semantic_fingerprint": "sha256:83133ccfa2daf3e115f64643674156a2e503cde8145fab7a70444162f38210e9", "generator_version": "3.0"}
{"id": "v3_test_id_00006034", "prompt": "Solve for x: 3x = x + 14", "solution_steps": ["Subtract x from both sides: 2x = 14", "Divide both sides by 2: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = x + 14", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"c\": 14, \"x\": 7}", "seed": "243238922370770837", "semantic_fingerprint": "sha256:35831e9359cbfe0274d45aff39a25fcab71dd95400e96cd78b87a1dea39f679c", "generator_version": "3.0"}
{"id": "v3_test_id_00006035", "prompt": "Calculate: (-19 - 233) / (-2) + (-17)", "solution_steps": ["Subtract: -19 - 233 = -252", "Divide: -252 / (-2) = 126", "Add: 126 + (-17) = 109"], "final_answer": "109", "answer_type": "integer", "kind": "expression", "math_text": "(-19 - 233) / (-2) + (-17)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": 233, \"c\": -2, \"d\": -17}", "seed": "16990387892427581420", "semantic_fingerprint": "sha256:9698aa55ae04b017efb953aa8be72972efc7abaa98ce9796ef0ab65ab2f3ff1d", "generator_version": "3.0"}
{"id": "v3_test_id_00006036", "prompt": "Solve the equation x + 1 = 9(x + 8) - 135 for x.", "solution_steps": ["Expand: x + 1 = 9x + 72 - 135", "Combine constants: x + 1 = 9x - 63", "Subtract 9x from both sides: -8x + 1 = -63", "Subtract 1 from both sides: -8x = -64", "Divide both sides by -8: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 1 = 9(x + 8) - 135", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 9, \"c\": 8, \"e\": -135, \"x\": 8}", "seed": "9014219325229955124", "semantic_fingerprint": "sha256:073e1fbc313105c35f3423cf459a15beae6f137e0a2e08237dbb413cb4a1d0c6", "generator_version": "3.0"}
{"id": "v3_test_id_00006037", "prompt": "Compute: 5 - (-3) * 271", "solution_steps": ["Multiply: -3 * 271 = -813", "Subtract: 5 - (-813) = 818"], "final_answer": "818", "answer_type": "integer", "kind": "expression", "math_text": "5 - (-3) * 271", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -3, \"c\": 271}", "seed": "8083659254710409703", "semantic_fingerprint": "sha256:26f43d58592577edee8bfa3123182ad573c7b33b9640b58a6426bcf9d3d192cc", "generator_version": "3.0"}
{"id": "v3_test_id_00006038", "prompt": "Solve the equation 6x - 5 = 5(x + 84) - 65 for x.", "solution_steps": ["Expand: 6x - 5 = 5x + 420 - 65", "Combine constants: 6x - 5 = 5x + 355", "Subtract 5x from both sides: x - 5 = 355", "Add 5 to both sides: x = 360"], "final_answer": "360", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 5 = 5(x + 84) - 65", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 5, \"d\": 84, \"e\": 65}", "seed": "12262017563805681026", "semantic_fingerprint": "sha256:779dff737f0de72f401847d8586e7813620dbed40c9d040f6247036d81710527", "generator_version": "3.0"}
{"id": "v3_test_id_00006039", "prompt": "Compute: -4 / (-9) / 19 + 1", "solution_steps": ["Divide: -4 / (-9) = 4/9", "Divide: (4/9) / 19 = 4/171", "Add: 4/171 + 1 = 175/171"], "final_answer": "175/171", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-9) / 19 + 1", "variable": null, "family": "expression_3op", "shape": "(+ (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -9, \"c\": 19, \"d\": 1}", "seed": "8378180887113594641", "semantic_fingerprint": "sha256:4c8dcffbcf03ad17f0a4342042d5cee8e78032cb9967b5ea8d4a5a4994b090fb", "generator_version": "3.0"}
{"id": "v3_test_id_00006040", "prompt": "What value of x satisfies 9(x + 32) + 84 = 8x + 374?", "solution_steps": ["Expand: 9x + 288 + 84 = 8x + 374", "Combine constants: 9x + 372 = 8x + 374", "Subtract 8x from both sides: x + 372 = 374", "Subtract 372 from both sides: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 32) + 84 = 8x + 374", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 32, \"c\": 84, \"d\": 8, \"f\": 374, \"x\": 2}", "seed": "16633867140853990056", "semantic_fingerprint": "sha256:1ff2560cc312f66ebadd6b174c63c2c8f8b49c123f7f0b09978c362cdc0bacf2", "generator_version": "3.0"}
{"id": "v3_test_id_00006041", "prompt": "Solve for x: -8(x - 70) - 479 = x", "solution_steps": ["Expand: -8x + 560 - 479 = x", "Combine constants: -8x + 81 = x", "Subtract x from both sides: -9x + 81 = 0", "Subtract 81 from both sides: -9x = -81", "Divide both sides by -9: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 70) - 479 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 70, \"d\": -479, \"x\": 9}", "seed": "2048893792675471525", "semantic_fingerprint": "sha256:8f68e2964e2ccd43f6e8043e2d9fe7b0290f14ee095ab465f5ff360e990541b1", "generator_version": "3.0"}
{"id": "v3_test_id_00006042", "prompt": "Compute: (-5 - (-985)) / 9", "solution_steps": ["Subtract: -5 - (-985) = 980", "Divide: 980 / 9 = 980/9"], "final_answer": "980/9", "answer_type": "rational", "kind": "expression", "math_text": "(-5 - (-985)) / 9", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -985, \"c\": 9}", "seed": "16873065910248397130", "semantic_fingerprint": "sha256:6c10409ce4e5391f3b15a126e18a4cfb0aed3fde88fdba6423c1a666745b2a59", "generator_version": "3.0"}
{"id": "v3_test_id_00006043", "prompt": "Compute: -86 * (-808)", "solution_steps": ["Multiply: -86 * (-808) = 69488"], "final_answer": "69488", "answer_type": "integer", "kind": "expression", "math_text": "-86 * (-808)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": -808}", "seed": "17158049062984928706", "semantic_fingerprint": "sha256:2176e007619a8f120adcbe4ecb17bc4977dac5a3540e2ead646945c1c722786d", "generator_version": "3.0"}
{"id": "v3_test_id_00006044", "prompt": "Solve for x: x - 176 = 4(x - 29)", "solution_steps": ["Expand: x - 176 = 4x - 116", "Subtract 4x from both sides: -3x - 176 = -116", "Add 176 to both sides: -3x = 60", "Divide both sides by -3: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 176 = 4(x - 29)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 29, \"d\": -176, \"x\": -20}", "seed": "2914482762087809844", "semantic_fingerprint": "sha256:503f22b72edc2e9bc09c141a46754db7d29b06b6ea5ae48e5357bc653bd62843", "generator_version": "3.0"}
{"id": "v3_test_id_00006045", "prompt": "Compute: -37 / (-85)", "solution_steps": ["Divide: -37 / (-85) = 37/85"], "final_answer": "37/85", "answer_type": "rational", "kind": "expression", "math_text": "-37 / (-85)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": -85}", "seed": "17319129571894010347", "semantic_fingerprint": "sha256:1f1b468ab9c505e0d7eca6c1697aef1dcf9bfd13d685ce30498429f08645179f", "generator_version": "3.0"}
{"id": "v3_test_id_00006046", "prompt": "Solve for x: x = 3(x + 5) + 4", "solution_steps": ["Expand: x = 3x + 15 + 4", "Combine constants: x = 3x + 19", "Subtract 3x from both sides: -2x = 19", "Divide both sides by -2: x = -19/2"], "final_answer": "-19/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 3(x + 5) + 4", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 5, \"c\": 4}", "seed": "6580042786574854928", "semantic_fingerprint": "sha256:12e58602a94256c2ca49946e558d1f9295593c6647cb2aa3a6df192a6b956476", "generator_version": "3.0"}
{"id": "v3_test_id_00006047", "prompt": "Compute: -491 + (-769 + 29)", "solution_steps": ["Add: -769 + 29 = -740", "Add: -491 + (-740) = -1231"], "final_answer": "-1231", "answer_type": "integer", "kind": "expression", "math_text": "-491 + (-769 + 29)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -491, \"b\": -769, \"c\": 29}", "seed": "12885709723085541856", "semantic_fingerprint": "sha256:f241205328bc7dd22cb59fd2577f925f20050d0bfb6df3a8b34c8d50b5deb2a8", "generator_version": "3.0"}
{"id": "v3_test_id_00006048", "prompt": "Evaluate: -584 / (-82) * (-3)", "solution_steps": ["Divide: -584 / (-82) = 292/41", "Multiply: (292/41) * (-3) = -876/41"], "final_answer": "-876/41", "answer_type": "rational", "kind": "expression", "math_text": "-584 / (-82) * (-3)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -584, \"b\": -82, \"c\": -3}", "seed": "15610157294252694687", "semantic_fingerprint": "sha256:cbe84af3fbf704eab9543e3b8dca5383f597cdbfe545870e4340602029efcbd0", "generator_version": "3.0"}
{"id": "v3_test_id_00006049", "prompt": "Solve for x: x = 6(x + 6) - 47", "solution_steps": ["Expand: x = 6x + 36 - 47", "Combine constants: x = 6x - 11", "Subtract 6x from both sides: -5x = -11", "Divide both sides by -5: x = 11/5"], "final_answer": "11/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 6(x + 6) - 47", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"c\": 47}", "seed": "14760722521365821620", "semantic_fingerprint": "sha256:7b351e37f9caf767b313d65d4458fedce0faebc7f2d24dd1771cabbf708e98ae", "generator_version": "3.0"}
{"id": "v3_test_id_00006050", "prompt": "What is -6 * (-934) * (4 * 4)?", "solution_steps": ["Multiply: -6 * (-934) = 5604", "Multiply: 4 * 4 = 16", "Multiply: 5604 * 16 = 89664"], "final_answer": "89664", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-934) * (4 * 4)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -934, \"c\": 4, \"d\": 4}", "seed": "6908642088892598849", "semantic_fingerprint": "sha256:e50a5caa114f5923b5582d62444b15e51e5ed7064d4ed132bc744117aca21c75", "generator_version": "3.0"}
{"id": "v3_test_id_00006051", "prompt": "Solve for x: -9x + 4 = 6x - 191", "solution_steps": ["Subtract 6x from both sides: -15x + 4 = -191", "Subtract 4 from both sides: -15x = -195", "Divide both sides by -15: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x + 4 = 6x - 191", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 4, \"c\": 6, \"e\": -191, \"x\": 13}", "seed": "17102837034251374771", "semantic_fingerprint": "sha256:27eaaeb3f533b92a22d4db136e8b382f36f719a5a71fb9797daae76796290cca", "generator_version": "3.0"}
{"id": "v3_test_id_00006052", "prompt": "Solve the equation 12(x + 3) = x + 256 for x.", "solution_steps": ["Expand: 12x + 36 = x + 256", "Subtract x from both sides: 11x + 36 = 256", "Subtract 36 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 + 3) = x + 256", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 3, \"d\": 256, \"x\": 20}", "seed": "11863702251068412967", "semantic_fingerprint": "sha256:223ef41315383920c5038f78737a821e8f93bdf1a405ab5fc07586f0c74e872d", "generator_version": "3.0"}
{"id": "v3_test_id_00006053", "prompt": "Evaluate: 33 * 143 + (-11) * (-151) / (-5 / 3)", "solution_steps": ["Multiply: 33 * 143 = 4719", "Multiply: -11 * (-151) = 1661", "Divide: -5 / 3 = -5/3", "Divide: 1661 / (-5/3) = -4983/5", "Add: 4719 + (-4983/5) = 18612/5"], "final_answer": "18612/5", "answer_type": "rational", "kind": "expression", "math_text": "33 * 143 + (-11) * (-151) / (-5 / 3)", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (/ (* n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": 143, \"c\": -11, \"d\": -151, \"e\": -5, \"f\": 3}", "seed": "7195246790670576798", "semantic_fingerprint": "sha256:fc1f11ff22c895a425e8c368dee553f18861bcb9c36a5b4a018286c03de43c18", "generator_version": "3.0"}
{"id": "v3_test_id_00006054", "prompt": "Calculate: 44 - 3 - 639", "solution_steps": ["Subtract: 44 - 3 = 41", "Subtract: 41 - 639 = -598"], "final_answer": "-598", "answer_type": "integer", "kind": "expression", "math_text": "44 - 3 - 639", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 44, \"b\": 3, \"c\": 639}", "seed": "10020576745970532011", "semantic_fingerprint": "sha256:50f0301f17a188ca777ad67bf30cc6d122426a6906c70a28dc5e60a75b65386f", "generator_version": "3.0"}
{"id": "v3_test_id_00006055", "prompt": "What value of x satisfies -5(x + 46) = 5x?", "solution_steps": ["Expand: -5x - 230 = 5x", "Subtract 5x from both sides: -10x - 230 = 0", "Add 230 to both sides: -10x = 230", "Divide both sides by -10: x = -23"], "final_answer": "-23", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 46) = 5x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 46, \"c\": 5}", "seed": "1966872176445315571", "semantic_fingerprint": "sha256:9cb06caeb3df2684a0a1d38bccf75ccda6debc60a350f5913853e11599ac0528", "generator_version": "3.0"}
{"id": "v3_test_id_00006056", "prompt": "Solve for x: x = -11(x - 35) - 289", "solution_steps": ["Expand: x = -11x + 385 - 289", "Combine constants: x = -11x + 96", "Add 11x to both sides: 12x = 96", "Divide both sides by 12: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -11(x - 35) - 289", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 35, \"d\": -289, \"x\": 8}", "seed": "9421006483220894187", "semantic_fingerprint": "sha256:bd7bfa3dc13eb56126982bb508a69c4a60e56ddb5c323ce120034a9e0607ad65", "generator_version": "3.0"}
{"id": "v3_test_id_00006057", "prompt": "Solve for x: x - 3 = -11x + 165", "solution_steps": ["Add 11x to both sides: 12x - 3 = 165", "Add 3 to both sides: 12x = 168", "Divide both sides by 12: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3 = -11x + 165", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -11, \"d\": 165, \"x\": 14}", "seed": "13088386999583649725", "semantic_fingerprint": "sha256:a45c447909733f366c99dfb873fc143e72dbf3c35f33561ad761ef804cf65ce2", "generator_version": "3.0"}
{"id": "v3_test_id_00006058", "prompt": "Solve for x: -4(x + 51) = x - 119", "solution_steps": ["Expand: -4x - 204 = x - 119", "Subtract x from both sides: -5x - 204 = -119", "Add 204 to both sides: -5x = 85", "Divide both sides by -5: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 51) = x - 119", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 51, \"d\": -119, \"x\": -17}", "seed": "17712694009165226742", "semantic_fingerprint": "sha256:af6180e76b9c2e9831a0b712eac4f456e71af790f17f7c2336486a83ba8e05b6", "generator_version": "3.0"}
{"id": "v3_test_id_00006059", "prompt": "Find x: x - 66 = 11(x + 70) - 19", "solution_steps": ["Expand: x - 66 = 11x + 770 - 19", "Combine constants: x - 66 = 11x + 751", "Subtract 11x from both sides: -10x - 66 = 751", "Add 66 to both sides: -10x = 817", "Divide both sides by -10: x = -817/10"], "final_answer": "-817/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 66 = 11(x + 70) - 19", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": 11, \"c\": 70, \"d\": 19}", "seed": "12422755795586193730", "semantic_fingerprint": "sha256:dc1e2d216e1b64b3208362fbd347968fb66827b18e9d7ef305d41d6750480a53", "generator_version": "3.0"}
{"id": "v3_test_id_00006060", "prompt": "Calculate: 51 - (110 + (-68)) - (3 + 74 + 23)", "solution_steps": ["Add: 110 + (-68) = 42", "Subtract: 51 - 42 = 9", "Add: 3 + 74 = 77", "Add: 77 + 23 = 100", "Subtract: 9 - 100 = -91"], "final_answer": "-91", "answer_type": "integer", "kind": "expression", "math_text": "51 - (110 + (-68)) - (3 + 74 + 23)", "variable": null, "family": "expression_5op", "shape": "(- (- n (+ n n)) (+ (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 51, \"b\": 110, \"c\": -68, \"d\": 3, \"e\": 74, \"f\": 23}", "seed": "8768420335789951368", "semantic_fingerprint": "sha256:547c2300fc3847650db3efee90f62c4cdac345259b7225c8ec8bb525b958a825", "generator_version": "3.0"}
{"id": "v3_test_id_00006061", "prompt": "What value of x satisfies 4(x - 8) = -7x?", "solution_steps": ["Expand: 4x - 32 = -7x", "Add 7x to both sides: 11x - 32 = 0", "Add 32 to both sides: 11x = 32", "Divide both sides by 11: x = 32/11"], "final_answer": "32/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 8) = -7x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 8, \"c\": -7}", "seed": "10315452121434495789", "semantic_fingerprint": "sha256:4f919893b89175fe1ef8a54d2332cbc2f787c515751bb67b838e0d12520c6704", "generator_version": "3.0"}
{"id": "v3_test_id_00006062", "prompt": "Evaluate: -9 / (-2) + 160", "solution_steps": ["Divide: -9 / (-2) = 9/2", "Add: 9/2 + 160 = 329/2"], "final_answer": "329/2", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-2) + 160", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -2, \"c\": 160}", "seed": "7476327224227730850", "semantic_fingerprint": "sha256:4612a8633f07bb347428e78622d787060662f9a994240dbdabfc0295a61ba549", "generator_version": "3.0"}
{"id": "v3_test_id_00006063", "prompt": "Solve for x: 4(x + 1) + 196 = x", "solution_steps": ["Expand: 4x + 4 + 196 = x", "Combine constants: 4x + 200 = x", "Subtract x from both sides: 3x + 200 = 0", "Subtract 200 from both sides: 3x = -200", "Divide both sides by 3: x = -200/3"], "final_answer": "-200/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 1) + 196 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 1, \"c\": 196}", "seed": "13466048545034072516", "semantic_fingerprint": "sha256:e84f4ce8129e523ce61d2d28bd1eb698ba213bcecfbe38a96d2a38cc3654cf02", "generator_version": "3.0"}
{"id": "v3_test_id_00006064", "prompt": "What is (7 - (-13)) * (46 * 483) / 4 - 27?", "solution_steps": ["Subtract: 7 - (-13) = 20", "Multiply: 46 * 483 = 22218", "Multiply: 20 * 22218 = 444360", "Divide: 444360 / 4 = 111090", "Subtract: 111090 - 27 = 111063"], "final_answer": "111063", "answer_type": "integer", "kind": "expression", "math_text": "(7 - (-13)) * (46 * 483) / 4 - 27", "variable": null, "family": "expression_5op", "shape": "(- (/ (* (- n n) (* n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -13, \"c\": 46, \"d\": 483, \"e\": 4, \"f\": 27}", "seed": "3569349783985373322", "semantic_fingerprint": "sha256:80c765ccfe700f3093ca98f9552a507413cf4388d612cb7792f83c93367d84e3", "generator_version": "3.0"}
{"id": "v3_test_id_00006065", "prompt": "Find x: x - 3 = 2(x + 253) - 515", "solution_steps": ["Expand: x - 3 = 2x + 506 - 515", "Combine constants: x - 3 = 2x - 9", "Subtract 2x from both sides: -x - 3 = -9", "Add 3 to both sides: -x = -6", "Divide both sides by -1: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 3 = 2(x + 253) - 515", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 2, \"c\": 253, \"e\": -515, \"x\": 6}", "seed": "8988440666983438707", "semantic_fingerprint": "sha256:0c33d1d80bf6d25f78cc77256b1cb6613bd9edee163a3588036f95aaa0ad0d37", "generator_version": "3.0"}
{"id": "v3_test_id_00006066", "prompt": "Compute: 515 / (894 / 65)", "solution_steps": ["Divide: 894 / 65 = 894/65", "Divide: 515 / (894/65) = 33475/894"], "final_answer": "33475/894", "answer_type": "rational", "kind": "expression", "math_text": "515 / (894 / 65)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 515, \"b\": 894, \"c\": 65}", "seed": "18380993102574907561", "semantic_fingerprint": "sha256:2e34a77a63d0305bb401f6da7b2c2b3f013119174d8650e30bce81f5171adecb", "generator_version": "3.0"}
{"id": "v3_test_id_00006067", "prompt": "Calculate: 636 + (2 + 41)", "solution_steps": ["Add: 2 + 41 = 43", "Add: 636 + 43 = 679"], "final_answer": "679", "answer_type": "integer", "kind": "expression", "math_text": "636 + (2 + 41)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 636, \"b\": 2, \"c\": 41}", "seed": "15018334474370188515", "semantic_fingerprint": "sha256:b6103b5a10762aa1622223e01c742b0081e992ee6fc60375a168793ed12b6ddb", "generator_version": "3.0"}
{"id": "v3_test_id_00006068", "prompt": "Calculate: -2 * (8 / 558)", "solution_steps": ["Divide: 8 / 558 = 4/279", "Multiply: -2 * (4/279) = -8/279"], "final_answer": "-8/279", "answer_type": "rational", "kind": "expression", "math_text": "-2 * (8 / 558)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 8, \"c\": 558}", "seed": "2214581880783453144", "semantic_fingerprint": "sha256:d9a0845a2fd28f07b02cfedb8fad39bd427f977c96aa3c32cf91a88c0332ad1a", "generator_version": "3.0"}
{"id": "v3_test_id_00006069", "prompt": "Compute: -44 + 0 * (120 / (-15))", "solution_steps": ["Divide: 120 / (-15) = -8", "Multiply: 0 * (-8) = 0", "Add: -44 + 0 = -44"], "final_answer": "-44", "answer_type": "integer", "kind": "expression", "math_text": "-44 + 0 * (120 / (-15))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -44, \"b\": 0, \"c\": 120, \"d\": -15}", "seed": "17695066286443267273", "semantic_fingerprint": "sha256:082c344468ea753d0307548e2daedd1e973441db952669f2623a861005dbce5c", "generator_version": "3.0"}
{"id": "v3_test_id_00006070", "prompt": "Find x: x + 7 = 7", "solution_steps": ["Subtract 7 from both sides: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 7 = 7", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"c\": 7, \"x\": 0}", "seed": "13287421224865357472", "semantic_fingerprint": "sha256:b10a5e4b3831d584c20722a953d66d28e1ffae8fa6e1c90362a242a59bfa7954", "generator_version": "3.0"}
{"id": "v3_test_id_00006071", "prompt": "Evaluate: 584 * (-23 / (-38)) + 4", "solution_steps": ["Divide: -23 / (-38) = 23/38", "Multiply: 584 * (23/38) = 6716/19", "Add: 6716/19 + 4 = 6792/19"], "final_answer": "6792/19", "answer_type": "rational", "kind": "expression", "math_text": "584 * (-23 / (-38)) + 4", "variable": null, "family": "expression_3op", "shape": "(+ (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 584, \"b\": -23, \"c\": -38, \"d\": 4}", "seed": "14469767539394520858", "semantic_fingerprint": "sha256:2a88dab16bc7fae5b349f7555f1cce99ffb100b4a3609cd42661cc67424e4403", "generator_version": "3.0"}
{"id": "v3_test_id_00006072", "prompt": "What value of x satisfies 9x - 97 = -6(x + 2) - 115?", "solution_steps": ["Expand: 9x - 97 = -6x - 12 - 115", "Combine constants: 9x - 97 = -6x - 127", "Add 6x to both sides: 15x - 97 = -127", "Add 97 to both sides: 15x = -30", "Divide both sides by 15: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 97 = -6(x + 2) - 115", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 97, \"c\": -6, \"d\": 2, \"f\": -115, \"x\": -2}", "seed": "15699777415885241194", "semantic_fingerprint": "sha256:2ac7e8b6c44d48ea724ba0fe7bdd08e99ab4fb8863e0ffae5228eb367a9a2f24", "generator_version": "3.0"}
{"id": "v3_test_id_00006073", "prompt": "Calculate: 23 * 0 - 18 + (-20 * 8 + (-16))", "solution_steps": ["Multiply: 23 * 0 = 0", "Subtract: 0 - 18 = -18", "Multiply: -20 * 8 = -160", "Add: -160 + (-16) = -176", "Add: -18 + (-176) = -194"], "final_answer": "-194", "answer_type": "integer", "kind": "expression", "math_text": "23 * 0 - 18 + (-20 * 8 + (-16))", "variable": null, "family": "expression_5op", "shape": "(+ (- (* n n) n) (+ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 0, \"c\": 18, \"d\": -20, \"e\": 8, \"f\": -16}", "seed": "14037793844993499517", "semantic_fingerprint": "sha256:800b5b6019ace1163207cd08d8b135c049ba80cdc9ef5943f6747dcfeae04fd0", "generator_version": "3.0"}
{"id": "v3_test_id_00006074", "prompt": "What is (9 - (-24)) * (-977) - (-43)?", "solution_steps": ["Subtract: 9 - (-24) = 33", "Multiply: 33 * (-977) = -32241", "Subtract: -32241 - (-43) = -32198"], "final_answer": "-32198", "answer_type": "integer", "kind": "expression", "math_text": "(9 - (-24)) * (-977) - (-43)", "variable": null, "family": "expression_3op", "shape": "(- (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -24, \"c\": -977, \"d\": -43}", "seed": "4640913857354419510", "semantic_fingerprint": "sha256:3eb7bf19aca7bcbc5b81d300a16a22f06530e74257508e30709b64c8ac0db7c1", "generator_version": "3.0"}
{"id": "v3_test_id_00006075", "prompt": "Find x: 7(x + 9) - 63 = 2(x + 369) - 823", "solution_steps": ["Expand: 7x + 63 - 63 = 2(x + 369) - 823", "Expand: 7x + 63 - 63 = 2x + 738 - 823", "Combine constants: 7x = 2x + 738 - 823", "Combine constants: 7x = 2x - 85", "Subtract 2x from both sides: 5x = -85", "Divide both sides by 5: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 9) - 63 = 2(x + 369) - 823", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": 63, \"d\": 2, \"e\": 369, \"g\": -823, \"x\": -17}", "seed": "5474427702388660217", "semantic_fingerprint": "sha256:f47e9042514fa7ff0fefc827242cc0bdde04eb583b8a06cbbe1cacba43cd9f64", "generator_version": "3.0"}
{"id": "v3_test_id_00006076", "prompt": "Solve the equation 6(x - 56) = x - 1 for x.", "solution_steps": ["Expand: 6x - 336 = x - 1", "Subtract x from both sides: 5x - 336 = -1", "Add 336 to both sides: 5x = 335", "Divide both sides by 5: x = 67"], "final_answer": "67", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 56) = x - 1", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 56, \"c\": 1}", "seed": "2908455655139419169", "semantic_fingerprint": "sha256:553965d1d5fcdc4e09b22e136a30f1331e4beb0eacdab1be3b4eb12450979d0a", "generator_version": "3.0"}
{"id": "v3_test_id_00006077", "prompt": "What value of x satisfies 3x + 24 = x?", "solution_steps": ["Subtract x from both sides: 2x + 24 = 0", "Subtract 24 from both sides: 2x = -24", "Divide both sides by 2: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x + 24 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"c\": 24, \"x\": -12}", "seed": "14930720536379279991", "semantic_fingerprint": "sha256:ef73e7d2b3a6373f5cfab417613dac892f57317ea89ee06a1c0b937daec4477d", "generator_version": "3.0"}
{"id": "v3_test_id_00006078", "prompt": "Solve for x: -8(x - 25) - 114 = 46", "solution_steps": ["Expand: -8x + 200 - 114 = 46", "Combine constants: -8x + 86 = 46", "Subtract 86 from both sides: -8x = -40", "Divide both sides by -8: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 25) - 114 = 46", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 25, \"c\": 114, \"e\": 46, \"x\": 5}", "seed": "3621956776905041893", "semantic_fingerprint": "sha256:e0c0699c6e9f46be20999b23afc8a55b4383a47dc9f4dec43cafd36c161ecb9f", "generator_version": "3.0"}
{"id": "v3_test_id_00006079", "prompt": "Solve for x: x + 1 = 11x", "solution_steps": ["Subtract 11x from both sides: -10x + 1 = 0", "Subtract 1 from both sides: -10x = -1", "Divide both sides by -10: x = 1/10"], "final_answer": "1/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 1 = 11x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 11}", "seed": "16320758172591294293", "semantic_fingerprint": "sha256:18cdef0ec79875daf06dd22347798937154561fff1348588aed3fdd8def6d50c", "generator_version": "3.0"}
{"id": "v3_test_id_00006080", "prompt": "What value of x satisfies -4(x - 70) = 7x + 291?", "solution_steps": ["Expand: -4x + 280 = 7x + 291", "Subtract 7x from both sides: -11x + 280 = 291", "Subtract 280 from both sides: -11x = 11", "Divide both sides by -11: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 70) = 7x + 291", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 70, \"c\": 7, \"e\": 291, \"x\": -1}", "seed": "1355519429340200432", "semantic_fingerprint": "sha256:be788808930cb4cb7437ab515a4c23c405455730f4bebc5fc06f01d515230dbd", "generator_version": "3.0"}
{"id": "v3_test_id_00006081", "prompt": "Evaluate: (-33 + (-95)) / 26", "solution_steps": ["Add: -33 + (-95) = -128", "Divide: -128 / 26 = -64/13"], "final_answer": "-64/13", "answer_type": "rational", "kind": "expression", "math_text": "(-33 + (-95)) / 26", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": -95, \"c\": 26}", "seed": "4407274179890946295", "semantic_fingerprint": "sha256:9c138082ab41698e9178d102c5d52b9633e0ce17f7790b1f4fe1348897d773ca", "generator_version": "3.0"}
{"id": "v3_test_id_00006082", "prompt": "Compute: 193 * (-71 * 8)", "solution_steps": ["Multiply: -71 * 8 = -568", "Multiply: 193 * (-568) = -109624"], "final_answer": "-109624", "answer_type": "integer", "kind": "expression", "math_text": "193 * (-71 * 8)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 193, \"b\": -71, \"c\": 8}", "seed": "42102926523631920", "semantic_fingerprint": "sha256:f269733cd25b542652a8e879f8c45a375c5f5564c5763f57e005eba0bb69cd3b", "generator_version": "3.0"}
{"id": "v3_test_id_00006083", "prompt": "Find x: -3(x + 490) = 11(x - 607)", "solution_steps": ["Expand: -3x - 1470 = 11(x - 607)", "Expand: -3x - 1470 = 11x - 6677", "Subtract 11x from both sides: -14x - 1470 = -6677", "Add 1470 to both sides: -14x = -5207", "Divide both sides by -14: x = 5207/14"], "final_answer": "5207/14", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x + 490) = 11(x - 607)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 490, \"c\": 11, \"d\": 607}", "seed": "1300681930105717432", "semantic_fingerprint": "sha256:0a89c0507675482e0af3b3d4f0d2b19e3036e8d500666a12044c3524665ede45", "generator_version": "3.0"}
{"id": "v3_test_id_00006084", "prompt": "Calculate: -9 / (-6)", "solution_steps": ["Divide: -9 / (-6) = 3/2"], "final_answer": "3/2", "answer_type": "rational", "kind": "expression", "math_text": "-9 / (-6)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -6}", "seed": "6478588074087700646", "semantic_fingerprint": "sha256:6572cdde73100765df6bb71e8e892db35a54ec1db2094b6dc544960b921ea279", "generator_version": "3.0"}
{"id": "v3_test_id_00006085", "prompt": "Compute: -3 / (619 / (-99))", "solution_steps": ["Divide: 619 / (-99) = -619/99", "Divide: -3 / (-619/99) = 297/619"], "final_answer": "297/619", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (619 / (-99))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 619, \"c\": -99}", "seed": "11981410880606738115", "semantic_fingerprint": "sha256:87355cf4075d89b808a2240d1f24a311403c969a57a7f2ef5647db6a45523c6b", "generator_version": "3.0"}
{"id": "v3_test_id_00006086", "prompt": "What is -27 / (-513)?", "solution_steps": ["Divide: -27 / (-513) = 1/19"], "final_answer": "1/19", "answer_type": "rational", "kind": "expression", "math_text": "-27 / (-513)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -27, \"b\": -513}", "seed": "4817214796986615027", "semantic_fingerprint": "sha256:5765d8beb025ff815b7da4d02d9af326afeeffadff547d84e60d20a8d3d0b7a7", "generator_version": "3.0"}
{"id": "v3_test_id_00006087", "prompt": "Evaluate: (-232 - (-887)) * (0 + 612)", "solution_steps": ["Subtract: -232 - (-887) = 655", "Add: 0 + 612 = 612", "Multiply: 655 * 612 = 400860"], "final_answer": "400860", "answer_type": "integer", "kind": "expression", "math_text": "(-232 - (-887)) * (0 + 612)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -232, \"b\": -887, \"c\": 0, \"d\": 612}", "seed": "17738041229895920048", "semantic_fingerprint": "sha256:54f7ec510494ff89481079f047d8b44ff21d08610f2597f60fd60d32fdf49b63", "generator_version": "3.0"}
{"id": "v3_test_id_00006088", "prompt": "What is 31 * (79 - 6)?", "solution_steps": ["Subtract: 79 - 6 = 73", "Multiply: 31 * 73 = 2263"], "final_answer": "2263", "answer_type": "integer", "kind": "expression", "math_text": "31 * (79 - 6)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 79, \"c\": 6}", "seed": "14465476885590064788", "semantic_fingerprint": "sha256:358b62868c9152bdb10d11740cec8d30a682d00478e3756a28102200f5fc2de8", "generator_version": "3.0"}
{"id": "v3_test_id_00006089", "prompt": "Solve for x: 4x - 342 = 10(x - 3) - 396", "solution_steps": ["Expand: 4x - 342 = 10x - 30 - 396", "Combine constants: 4x - 342 = 10x - 426", "Subtract 10x from both sides: -6x - 342 = -426", "Add 342 to both sides: -6x = -84", "Divide both sides by -6: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 342 = 10(x - 3) - 396", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 342, \"c\": 10, \"d\": 3, \"f\": -396, \"x\": 14}", "seed": "16683084928093832097", "semantic_fingerprint": "sha256:bbe567f383329a7eea63091564e6d7be4c37816d93f9b5c10b110b23955ba84a", "generator_version": "3.0"}
{"id": "v3_test_id_00006090", "prompt": "Find x: 10x = x + 6", "solution_steps": ["Subtract x from both sides: 9x = 6", "Divide both sides by 9: x = 2/3"], "final_answer": "2/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "10x = x + 6", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 6}", "seed": "50113850723717391", "semantic_fingerprint": "sha256:41d3acdf2d4b195b2b43cf8938b3127695780d8aa5c3c809419a876edfa70ac7", "generator_version": "3.0"}
{"id": "v3_test_id_00006091", "prompt": "Calculate: -7 / (-26 - (719 - 591))", "solution_steps": ["Subtract: 719 - 591 = 128", "Subtract: -26 - 128 = -154", "Divide: -7 / (-154) = 1/22"], "final_answer": "1/22", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (-26 - (719 - 591))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -26, \"c\": 719, \"d\": 591}", "seed": "6711702171835728543", "semantic_fingerprint": "sha256:3bfe7ce71070545353cefaf642099a89a90947b58ce0fb6afb955fbfc5f5b2ce", "generator_version": "3.0"}
{"id": "v3_test_id_00006092", "prompt": "Calculate: 90 - 3 - 56", "solution_steps": ["Subtract: 90 - 3 = 87", "Subtract: 87 - 56 = 31"], "final_answer": "31", "answer_type": "integer", "kind": "expression", "math_text": "90 - 3 - 56", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 90, \"b\": 3, \"c\": 56}", "seed": "6228545103977793782", "semantic_fingerprint": "sha256:10d98e5104167c6985d8fb501051c53dce3850edca1e4747e05177c4d431cbf6", "generator_version": "3.0"}
{"id": "v3_test_id_00006093", "prompt": "What value of x satisfies 6x + 854 = -12x + 926?", "solution_steps": ["Add 12x to both sides: 18x + 854 = 926", "Subtract 854 from both sides: 18x = 72", "Divide both sides by 18: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x + 854 = -12x + 926", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 854, \"c\": -12, \"e\": 926, \"x\": 4}", "seed": "4021936871084531011", "semantic_fingerprint": "sha256:215eff20a95ee7d67e4ddd6c83ee155c098f1a008a1b3bdde1bc4c8b48df4b19", "generator_version": "3.0"}
{"id": "v3_test_id_00006094", "prompt": "Evaluate: (-63 - 974 * 86) / (-27) + (-1)", "solution_steps": ["Multiply: 974 * 86 = 83764", "Subtract: -63 - 83764 = -83827", "Divide: -83827 / (-27) = 83827/27", "Add: 83827/27 + (-1) = 83800/27"], "final_answer": "83800/27", "answer_type": "rational", "kind": "expression", "math_text": "(-63 - 974 * 86) / (-27) + (-1)", "variable": null, "family": "expression_4op", "shape": "(+ (/ (- n (* n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": 974, \"c\": 86, \"d\": -27, \"e\": -1}", "seed": "14521156636982291120", "semantic_fingerprint": "sha256:00de37dd986c61faaedd792a4a459188ba569e5f96102786ccea2b3596b44e55", "generator_version": "3.0"}
{"id": "v3_test_id_00006095", "prompt": "Find x: 9(x - 14) - 89 = x - 215", "solution_steps": ["Expand: 9x - 126 - 89 = x - 215", "Combine constants: 9x - 215 = x - 215", "Subtract x from both sides: 8x - 215 = -215", "Add 215 to both sides: 8x = 0", "Divide both sides by 8: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 14) - 89 = x - 215", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 14, \"c\": 89, \"e\": -215, \"x\": 0}", "seed": "9733423988010634636", "semantic_fingerprint": "sha256:d3d12b1eff439e8d7fa06735fd84ec9a5f7073357a5d81c3dc0b1618a596d4e8", "generator_version": "3.0"}
{"id": "v3_test_id_00006096", "prompt": "Find x: 6(x + 3) + 64 = -11(x - 5) + 231", "solution_steps": ["Expand: 6x + 18 + 64 = -11(x - 5) + 231", "Expand: 6x + 18 + 64 = -11x + 55 + 231", "Combine constants: 6x + 82 = -11x + 55 + 231", "Combine constants: 6x + 82 = -11x + 286", "Add 11x to both sides: 17x + 82 = 286", "Subtract 82 from both sides: 17x = 204", "Divide both sides by 17: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 3) + 64 = -11(x - 5) + 231", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 64, \"d\": -11, \"e\": 5, \"g\": 231, \"x\": 12}", "seed": "13518149066102226999", "semantic_fingerprint": "sha256:622ccb8f5535c215399a1ab1f532d9c79e4deb9ef6da12b83efcb37907b44f86", "generator_version": "3.0"}
{"id": "v3_test_id_00006097", "prompt": "What value of x satisfies 7x - 89 = x?", "solution_steps": ["Subtract x from both sides: 6x - 89 = 0", "Add 89 to both sides: 6x = 89", "Divide both sides by 6: x = 89/6"], "final_answer": "89/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x - 89 = x", "variable": "x", "family": "linear_equation", "shape": "kx-c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 89}", "seed": "9914701465497914458", "semantic_fingerprint": "sha256:10aa6efd7d39eef79e9292fe0af83a078f55e2e5968f35fb13dc368d3a5b5a17", "generator_version": "3.0"}
{"id": "v3_test_id_00006098", "prompt": "Calculate: 40 * (-71)", "solution_steps": ["Multiply: 40 * (-71) = -2840"], "final_answer": "-2840", "answer_type": "integer", "kind": "expression", "math_text": "40 * (-71)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": -71}", "seed": "16935601621327084603", "semantic_fingerprint": "sha256:1fb6c5494967554301fa19365ea7b185e2e316d7e5ebca79708556db5371685d", "generator_version": "3.0"}
{"id": "v3_test_id_00006099", "prompt": "Compute: (-4 + (-49)) * (-108 * (-1 + (-3)))", "solution_steps": ["Add: -4 + (-49) = -53", "Add: -1 + (-3) = -4", "Multiply: -108 * (-4) = 432", "Multiply: -53 * 432 = -22896"], "final_answer": "-22896", "answer_type": "integer", "kind": "expression", "math_text": "(-4 + (-49)) * (-108 * (-1 + (-3)))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (* n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -49, \"c\": -108, \"d\": -1, \"e\": -3}", "seed": "16309315832623516350", "semantic_fingerprint": "sha256:9f7e92fe3796f69f95742f8e1d218163011482142675a3010ee85a999cf35c78", "generator_version": "3.0"}
{"id": "v3_test_id_00006100", "prompt": "Find x: -12(x + 54) = -9(x - 2) - 618", "solution_steps": ["Expand: -12x - 648 = -9(x - 2) - 618", "Expand: -12x - 648 = -9x + 18 - 618", "Combine constants: -12x - 648 = -9x - 600", "Add 9x to both sides: -3x - 648 = -600", "Add 648 to both sides: -3x = 48", "Divide both sides by -3: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12(x + 54) = -9(x - 2) - 618", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 54, \"c\": -9, \"d\": 2, \"f\": -618, \"x\": -16}", "seed": "14155460434547854313", "semantic_fingerprint": "sha256:2c3a46ef63e77fe62a89f9568febe58db2cc370d48ea384799178edb1f1474c0", "generator_version": "3.0"}
{"id": "v3_test_id_00006101", "prompt": "Find x: -3x + 236 = 11(x + 24)", "solution_steps": ["Expand: -3x + 236 = 11x + 264", "Subtract 11x from both sides: -14x + 236 = 264", "Subtract 236 from both sides: -14x = 28", "Divide both sides by -14: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x + 236 = 11(x + 24)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 11, \"c\": 24, \"e\": 236, \"x\": -2}", "seed": "11799835680282734208", "semantic_fingerprint": "sha256:f601c99a98e2713aaecfd3587e56665dfca0a97eddaa780ee4bb41640f850134", "generator_version": "3.0"}
{"id": "v3_test_id_00006102", "prompt": "Compute: 742 / 3 / 5", "solution_steps": ["Divide: 742 / 3 = 742/3", "Divide: (742/3) / 5 = 742/15"], "final_answer": "742/15", "answer_type": "rational", "kind": "expression", "math_text": "742 / 3 / 5", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 742, \"b\": 3, \"c\": 5}", "seed": "8491917647470910410", "semantic_fingerprint": "sha256:98fe3997777f31f95874eb71bedf86319970e67efd0c58f40cedcfc47a4c1b76", "generator_version": "3.0"}
{"id": "v3_test_id_00006103", "prompt": "Evaluate: -54 - 51", "solution_steps": ["Subtract: -54 - 51 = -105"], "final_answer": "-105", "answer_type": "integer", "kind": "expression", "math_text": "-54 - 51", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -54, \"b\": 51}", "seed": "10023404440117271953", "semantic_fingerprint": "sha256:d83cbe34679faf4f5b77d2234acb360cb7df2651dd2c8b87dbf3a5d8bbe7a7d4", "generator_version": "3.0"}
{"id": "v3_test_id_00006104", "prompt": "What is -839 / (50 / 68)?", "solution_steps": ["Divide: 50 / 68 = 25/34", "Divide: -839 / (25/34) = -28526/25"], "final_answer": "-28526/25", "answer_type": "rational", "kind": "expression", "math_text": "-839 / (50 / 68)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -839, \"b\": 50, \"c\": 68}", "seed": "2520534049533702984", "semantic_fingerprint": "sha256:bfe0b4e536b1c83d9ddc215b39ec1c33e3a4c6c93228e5d04d3df122efaac57a", "generator_version": "3.0"}
{"id": "v3_test_id_00006105", "prompt": "Solve the equation 8(x - 29) + 45 = -92 for x.", "solution_steps": ["Expand: 8x - 232 + 45 = -92", "Combine constants: 8x - 187 = -92", "Add 187 to both sides: 8x = 95", "Divide both sides by 8: x = 95/8"], "final_answer": "95/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 29) + 45 = -92", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 29, \"c\": 45, \"d\": -92}", "seed": "2169969542718302105", "semantic_fingerprint": "sha256:ddcd51ed9abc0ccb4bb4de6c972d63a699b1122cb0b9b552435c2d7c7ba4bfeb", "generator_version": "3.0"}
{"id": "v3_test_id_00006106", "prompt": "Compute: (-20 + 75 - 83) / 770 / 2", "solution_steps": ["Add: -20 + 75 = 55", "Subtract: 55 - 83 = -28", "Divide: -28 / 770 = -2/55", "Divide: (-2/55) / 2 = -1/55"], "final_answer": "-1/55", "answer_type": "rational", "kind": "expression", "math_text": "(-20 + 75 - 83) / 770 / 2", "variable": null, "family": "expression_4op", "shape": "(/ (/ (- (+ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": 75, \"c\": 83, \"d\": 770, \"e\": 2}", "seed": "11522072159725813772", "semantic_fingerprint": "sha256:2cf07a6d4b43acc48c2fca92a377c3917223095c5e67f63c7f5c218f82446956", "generator_version": "3.0"}
{"id": "v3_test_id_00006107", "prompt": "Calculate: -93 / 8 * 669", "solution_steps": ["Divide: -93 / 8 = -93/8", "Multiply: (-93/8) * 669 = -62217/8"], "final_answer": "-62217/8", "answer_type": "rational", "kind": "expression", "math_text": "-93 / 8 * 669", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -93, \"b\": 8, \"c\": 669}", "seed": "2924888007597793854", "semantic_fingerprint": "sha256:709e5624455cff5abf2657d69cf519645c67dbd51122f93c7f2583d16f548761", "generator_version": "3.0"}
{"id": "v3_test_id_00006108", "prompt": "Solve for x: 4x + 16 = x - 1", "solution_steps": ["Subtract x from both sides: 3x + 16 = -1", "Subtract 16 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": "4x + 16 = x - 1", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 16, \"c\": 1}", "seed": "7387644527252812753", "semantic_fingerprint": "sha256:43a6b8b02ab4dcaca2fb93e32651feb9fd07050c97fd08be34e9b25ef0b6d801", "generator_version": "3.0"}
{"id": "v3_test_id_00006109", "prompt": "What value of x satisfies x = -10(x - 32) - 155?", "solution_steps": ["Expand: x = -10x + 320 - 155", "Combine constants: x = -10x + 165", "Add 10x to both sides: 11x = 165", "Divide both sides by 11: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -10(x - 32) - 155", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 32, \"d\": -155, \"x\": 15}", "seed": "13107677759866331566", "semantic_fingerprint": "sha256:a863d30e1305d65b36d9ee2efcd36ad5c6068b45df7250c285c54a9714b097c8", "generator_version": "3.0"}
{"id": "v3_test_id_00006110", "prompt": "What value of x satisfies 12(x + 19) = -3(x + 781)?", "solution_steps": ["Expand: 12x + 228 = -3(x + 781)", "Expand: 12x + 228 = -3x - 2343", "Add 3x to both sides: 15x + 228 = -2343", "Subtract 228 from both sides: 15x = -2571", "Divide both sides by 15: x = -857/5"], "final_answer": "-857/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x + 19) = -3(x + 781)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 19, \"c\": -3, \"d\": 781}", "seed": "9126912871339188471", "semantic_fingerprint": "sha256:a0aa30ac2dafd4a6c111ea035955797c217dd521730cd2b5a8bba38aef1d2513", "generator_version": "3.0"}
{"id": "v3_test_id_00006111", "prompt": "What is 665 + 309 * (577 - (-41))?", "solution_steps": ["Subtract: 577 - (-41) = 618", "Multiply: 309 * 618 = 190962", "Add: 665 + 190962 = 191627"], "final_answer": "191627", "answer_type": "integer", "kind": "expression", "math_text": "665 + 309 * (577 - (-41))", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 665, \"b\": 309, \"c\": 577, \"d\": -41}", "seed": "8506168999159774723", "semantic_fingerprint": "sha256:bc26d45713969f57abd13feac9e9109709e568f0ceadc373d4e0cf706454d93c", "generator_version": "3.0"}
{"id": "v3_test_id_00006112", "prompt": "Calculate: 786 - (-2) * (-104)", "solution_steps": ["Multiply: -2 * (-104) = 208", "Subtract: 786 - 208 = 578"], "final_answer": "578", "answer_type": "integer", "kind": "expression", "math_text": "786 - (-2) * (-104)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 786, \"b\": -2, \"c\": -104}", "seed": "17312038382274936942", "semantic_fingerprint": "sha256:197ae0c7501438cb36efd9071cb6007e486619e992c2aca2ce6afc2013bbed3e", "generator_version": "3.0"}
{"id": "v3_test_id_00006113", "prompt": "Solve the equation 6(x - 5) - 77 = -89 for x.", "solution_steps": ["Expand: 6x - 30 - 77 = -89", "Combine constants: 6x - 107 = -89", "Add 107 to both sides: 6x = 18", "Divide both sides by 6: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 5) - 77 = -89", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 5, \"c\": 77, \"e\": -89, \"x\": 3}", "seed": "9729852765713809562", "semantic_fingerprint": "sha256:ab3f8a9ceaddbbc12c0f4c74793dbb7022303d01ce5f440819e046b40119962f", "generator_version": "3.0"}
{"id": "v3_test_id_00006114", "prompt": "Compute: 6 + (-87) + 114", "solution_steps": ["Add: 6 + (-87) = -81", "Add: -81 + 114 = 33"], "final_answer": "33", "answer_type": "integer", "kind": "expression", "math_text": "6 + (-87) + 114", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -87, \"c\": 114}", "seed": "18426607901291065223", "semantic_fingerprint": "sha256:9608dda865bdc1f9728ff2a4b3b79f5ed0b598bda92013c1a1ea155d81f3a678", "generator_version": "3.0"}
{"id": "v3_test_id_00006115", "prompt": "What value of x satisfies x + 2 = 8(x + 7) + 23?", "solution_steps": ["Expand: x + 2 = 8x + 56 + 23", "Combine constants: x + 2 = 8x + 79", "Subtract 8x from both sides: -7x + 2 = 79", "Subtract 2 from both sides: -7x = 77", "Divide both sides by -7: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 2 = 8(x + 7) + 23", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 7, \"e\": 23, \"x\": -11}", "seed": "10273921997552498547", "semantic_fingerprint": "sha256:c26c58215266b94ae682df11828d156c7c473dd98c003bebdb34718157547c06", "generator_version": "3.0"}
{"id": "v3_test_id_00006116", "prompt": "Solve the equation x + 21 = 9(x - 2) for x.", "solution_steps": ["Expand: x + 21 = 9x - 18", "Subtract 9x from both sides: -8x + 21 = -18", "Subtract 21 from both sides: -8x = -39", "Divide both sides by -8: x = 39/8"], "final_answer": "39/8", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 21 = 9(x - 2)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": 9, \"c\": 2}", "seed": "6258480824549639221", "semantic_fingerprint": "sha256:107bba41100cef17bcc632e5ff51b9853be4c37757f7e76d9bd4134e30221e4d", "generator_version": "3.0"}
{"id": "v3_test_id_00006117", "prompt": "Evaluate: 14 + (696 - (9 - (3 - 71) + (-95)))", "solution_steps": ["Subtract: 3 - 71 = -68", "Subtract: 9 - (-68) = 77", "Add: 77 + (-95) = -18", "Subtract: 696 - (-18) = 714", "Add: 14 + 714 = 728"], "final_answer": "728", "answer_type": "integer", "kind": "expression", "math_text": "14 + (696 - (9 - (3 - 71) + (-95)))", "variable": null, "family": "expression_5op", "shape": "(+ n (- n (+ (- n (- n n)) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 696, \"c\": 9, \"d\": 3, \"e\": 71, \"f\": -95}", "seed": "4503476185128245233", "semantic_fingerprint": "sha256:9af34f7bfc33991c9235e6aeb89df69e9ee9730f3fec31e3828244126555eae3", "generator_version": "3.0"}
{"id": "v3_test_id_00006118", "prompt": "Calculate: 68 / (-12 + 2) / 5", "solution_steps": ["Add: -12 + 2 = -10", "Divide: 68 / (-10) = -34/5", "Divide: (-34/5) / 5 = -34/25"], "final_answer": "-34/25", "answer_type": "rational", "kind": "expression", "math_text": "68 / (-12 + 2) / 5", "variable": null, "family": "expression_3op", "shape": "(/ (/ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": -12, \"c\": 2, \"d\": 5}", "seed": "2969005643084581031", "semantic_fingerprint": "sha256:900e472e3a6793afd42a26db8322ef885f56a649f8c50555b8c0e2187b05a210", "generator_version": "3.0"}
{"id": "v3_test_id_00006119", "prompt": "Find x: 5x - 47 = 12(x + 492)", "solution_steps": ["Expand: 5x - 47 = 12x + 5904", "Subtract 12x from both sides: -7x - 47 = 5904", "Add 47 to both sides: -7x = 5951", "Divide both sides by -7: x = -5951/7"], "final_answer": "-5951/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x - 47 = 12(x + 492)", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 47, \"c\": 12, \"d\": 492}", "seed": "5413561166914181540", "semantic_fingerprint": "sha256:ba719072f8952d536f10192b38d67ab44ba70888a3ac94e364d94413fd2cd51a", "generator_version": "3.0"}
{"id": "v3_test_id_00006120", "prompt": "Solve for x: x - 477 = -5x - 4", "solution_steps": ["Add 5x to both sides: 6x - 477 = -4", "Add 477 to both sides: 6x = 473", "Divide both sides by 6: x = 473/6"], "final_answer": "473/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 477 = -5x - 4", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 477, \"b\": -5, \"c\": 4}", "seed": "284746924805201796", "semantic_fingerprint": "sha256:409939001596e6271b3849ad3734d2fd9e7d32baed643c571599697beb1b373e", "generator_version": "3.0"}
{"id": "v3_test_id_00006121", "prompt": "Evaluate: -76 + (-6 - (-72) * (-9)) + 47", "solution_steps": ["Multiply: -72 * (-9) = 648", "Subtract: -6 - 648 = -654", "Add: -76 + (-654) = -730", "Add: -730 + 47 = -683"], "final_answer": "-683", "answer_type": "integer", "kind": "expression", "math_text": "-76 + (-6 - (-72) * (-9)) + 47", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n (* n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": -6, \"c\": -72, \"d\": -9, \"e\": 47}", "seed": "4454216743642677398", "semantic_fingerprint": "sha256:30aed8fbdb3c3e9cd0c53a7a7de1a97eb87a06fe2967dc1adbf0ab970496dc74", "generator_version": "3.0"}
{"id": "v3_test_id_00006122", "prompt": "What value of x satisfies -3(x - 821) - 998 = x?", "solution_steps": ["Expand: -3x + 2463 - 998 = x", "Combine constants: -3x + 1465 = x", "Subtract x from both sides: -4x + 1465 = 0", "Subtract 1465 from both sides: -4x = -1465", "Divide both sides by -4: x = 1465/4"], "final_answer": "1465/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x - 821) - 998 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 821, \"c\": 998}", "seed": "968412296242414749", "semantic_fingerprint": "sha256:ad1bfe7ca8220627e6d4a3b0cfce4c645a4ffc60676a77d24194cd06277e210c", "generator_version": "3.0"}
{"id": "v3_test_id_00006123", "prompt": "Find x: -6(x - 692) = -4(x + 72) - 365", "solution_steps": ["Expand: -6x + 4152 = -4(x + 72) - 365", "Expand: -6x + 4152 = -4x - 288 - 365", "Combine constants: -6x + 4152 = -4x - 653", "Add 4x to both sides: -2x + 4152 = -653", "Subtract 4152 from both sides: -2x = -4805", "Divide both sides by -2: x = 4805/2"], "final_answer": "4805/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "-6(x - 692) = -4(x + 72) - 365", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 692, \"c\": -4, \"d\": 72, \"e\": 365}", "seed": "2290114875513970473", "semantic_fingerprint": "sha256:09b271982e7f6ce4f382645cbcee9bb736cfc1c2899f89cd32c41eb162b2da65", "generator_version": "3.0"}
{"id": "v3_test_id_00006124", "prompt": "Find x: 6(x - 505) + 65 = 2(x - 2) - 74", "solution_steps": ["Expand: 6x - 3030 + 65 = 2(x - 2) - 74", "Expand: 6x - 3030 + 65 = 2x - 4 - 74", "Combine constants: 6x - 2965 = 2x - 4 - 74", "Combine constants: 6x - 2965 = 2x - 78", "Subtract 2x from both sides: 4x - 2965 = -78", "Add 2965 to both sides: 4x = 2887", "Divide both sides by 4: x = 2887/4"], "final_answer": "2887/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 505) + 65 = 2(x - 2) - 74", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 505, \"c\": 65, \"d\": 2, \"e\": 2, \"f\": 74}", "seed": "7790209041598653567", "semantic_fingerprint": "sha256:4f627ed830ac4703ae83cc2f886e544376859fd3c47ee967d7576fcaaf843224", "generator_version": "3.0"}
{"id": "v3_test_id_00006125", "prompt": "Evaluate: (50 + (126 + (-68))) / (-504)", "solution_steps": ["Add: 126 + (-68) = 58", "Add: 50 + 58 = 108", "Divide: 108 / (-504) = -3/14"], "final_answer": "-3/14", "answer_type": "rational", "kind": "expression", "math_text": "(50 + (126 + (-68))) / (-504)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": 126, \"c\": -68, \"d\": -504}", "seed": "10828776294454672615", "semantic_fingerprint": "sha256:99c9032b4270d4ab9d3b576d6bfdffda1cefcf6e220fb31ffef3443182c59101", "generator_version": "3.0"}
{"id": "v3_test_id_00006126", "prompt": "Calculate: 2 * (-28 + 5)", "solution_steps": ["Add: -28 + 5 = -23", "Multiply: 2 * (-23) = -46"], "final_answer": "-46", "answer_type": "integer", "kind": "expression", "math_text": "2 * (-28 + 5)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -28, \"c\": 5}", "seed": "8772338883304174136", "semantic_fingerprint": "sha256:aec95b3091e62d31067c4c747a92edf61577b6a86494f02c9be8f334af021583", "generator_version": "3.0"}
{"id": "v3_test_id_00006127", "prompt": "Solve for x: x + 7 = -3x + 83", "solution_steps": ["Add 3x to both sides: 4x + 7 = 83", "Subtract 7 from both sides: 4x = 76", "Divide both sides by 4: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 7 = -3x + 83", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -3, \"d\": 83, \"x\": 19}", "seed": "13199828965350520894", "semantic_fingerprint": "sha256:8ccdd7f9a770c11474e507fc03b10774df202cb3648870421e402faf04ddec60", "generator_version": "3.0"}
{"id": "v3_test_id_00006128", "prompt": "Compute: -920 + (-1) + (-173)", "solution_steps": ["Add: -920 + (-1) = -921", "Add: -921 + (-173) = -1094"], "final_answer": "-1094", "answer_type": "integer", "kind": "expression", "math_text": "-920 + (-1) + (-173)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -920, \"b\": -1, \"c\": -173}", "seed": "2972750073834693757", "semantic_fingerprint": "sha256:fbe4b480ddefc2fb6aabdc539dbc1b8ecfca845e9c62684bb86b55f16fbb1959", "generator_version": "3.0"}
{"id": "v3_test_id_00006129", "prompt": "Calculate: 58 / 852 * 86", "solution_steps": ["Divide: 58 / 852 = 29/426", "Multiply: (29/426) * 86 = 1247/213"], "final_answer": "1247/213", "answer_type": "rational", "kind": "expression", "math_text": "58 / 852 * 86", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": 852, \"c\": 86}", "seed": "3236814508477027649", "semantic_fingerprint": "sha256:1879a1d2c3c0f5d24e0719bcb7dede99ec52c1f22d40a6bde391b200ee42e483", "generator_version": "3.0"}
{"id": "v3_test_id_00006130", "prompt": "What is (-48 - (-7)) / (-33 - 38)?", "solution_steps": ["Subtract: -48 - (-7) = -41", "Subtract: -33 - 38 = -71", "Divide: -41 / (-71) = 41/71"], "final_answer": "41/71", "answer_type": "rational", "kind": "expression", "math_text": "(-48 - (-7)) / (-33 - 38)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -48, \"b\": -7, \"c\": -33, \"d\": 38}", "seed": "16638691744089751032", "semantic_fingerprint": "sha256:5744f569ef4b02924aafc1c18d1ea06064fac2b7c15de1d9bad21e110e075f4b", "generator_version": "3.0"}
{"id": "v3_test_id_00006131", "prompt": "What is -254 + (-81) * (-472 + (8 - (-5)))?", "solution_steps": ["Subtract: 8 - (-5) = 13", "Add: -472 + 13 = -459", "Multiply: -81 * (-459) = 37179", "Add: -254 + 37179 = 36925"], "final_answer": "36925", "answer_type": "integer", "kind": "expression", "math_text": "-254 + (-81) * (-472 + (8 - (-5)))", "variable": null, "family": "expression_4op", "shape": "(+ n (* n (+ n (- n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -254, \"b\": -81, \"c\": -472, \"d\": 8, \"e\": -5}", "seed": "14559531240926280567", "semantic_fingerprint": "sha256:8f97dff1137a35ccd5fa260f2e713d6d31bba3b530d411c5dd3f72c53dfb2df4", "generator_version": "3.0"}
{"id": "v3_test_id_00006132", "prompt": "Compute: -28 + 9", "solution_steps": ["Add: -28 + 9 = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "expression", "math_text": "-28 + 9", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": 9}", "seed": "3803906311612718876", "semantic_fingerprint": "sha256:21a9ed6291d0713d1e29aee33c90344afe399cc7e74d5c7c8468d9bed77f09a2", "generator_version": "3.0"}
{"id": "v3_test_id_00006133", "prompt": "Solve the equation x - 347 = 5x - 331 for x.", "solution_steps": ["Subtract 5x from both sides: -4x - 347 = -331", "Add 347 to both sides: -4x = 16", "Divide both sides by -4: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 347 = 5x - 331", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 347, \"b\": 5, \"d\": -331, \"x\": -4}", "seed": "6462579633830210044", "semantic_fingerprint": "sha256:a50fe96a4a3d7f85a442e8bdf017d1da6f95922f33de60d8a630c5470de56f70", "generator_version": "3.0"}
{"id": "v3_test_id_00006134", "prompt": "What is (1 + (-6) - (-25)) / (-819)?", "solution_steps": ["Add: 1 + (-6) = -5", "Subtract: -5 - (-25) = 20", "Divide: 20 / (-819) = -20/819"], "final_answer": "-20/819", "answer_type": "rational", "kind": "expression", "math_text": "(1 + (-6) - (-25)) / (-819)", "variable": null, "family": "expression_3op", "shape": "(/ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -6, \"c\": -25, \"d\": -819}", "seed": "9489630033900086180", "semantic_fingerprint": "sha256:7af9631c4e0e15663dc5a857ee5e891b85f75328aed13028b0905c653a775222", "generator_version": "3.0"}
{"id": "v3_test_id_00006135", "prompt": "Evaluate: 31 * (-3 + (-5) - 1 - (8 - (-31)))", "solution_steps": ["Add: -3 + (-5) = -8", "Subtract: -8 - 1 = -9", "Subtract: 8 - (-31) = 39", "Subtract: -9 - 39 = -48", "Multiply: 31 * (-48) = -1488"], "final_answer": "-1488", "answer_type": "integer", "kind": "expression", "math_text": "31 * (-3 + (-5) - 1 - (8 - (-31)))", "variable": null, "family": "expression_5op", "shape": "(* n (- (- (+ n n) n) (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": -3, \"c\": -5, \"d\": 1, \"e\": 8, \"f\": -31}", "seed": "15055431981912844332", "semantic_fingerprint": "sha256:49b584bd72d1e6d702abcb266b3843c87b3f6a88bfe43d97f277aa57594dc045", "generator_version": "3.0"}
{"id": "v3_test_id_00006136", "prompt": "Find x: -6(x + 3) + 6 = -54", "solution_steps": ["Expand: -6x - 18 + 6 = -54", "Combine constants: -6x - 12 = -54", "Add 12 to both sides: -6x = -42", "Divide both sides by -6: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 3) + 6 = -54", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 3, \"c\": 6, \"e\": -54, \"x\": 7}", "seed": "2023826313110910094", "semantic_fingerprint": "sha256:46292a4a7c2551e3b1e0c6b9414850c556ec34642a81f648c57001be6c1841cd", "generator_version": "3.0"}
{"id": "v3_test_id_00006137", "prompt": "Solve for x: 7(x - 7) - 2 = 5x + 46", "solution_steps": ["Expand: 7x - 49 - 2 = 5x + 46", "Combine constants: 7x - 51 = 5x + 46", "Subtract 5x from both sides: 2x - 51 = 46", "Add 51 to both sides: 2x = 97", "Divide both sides by 2: x = 97/2"], "final_answer": "97/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 7) - 2 = 5x + 46", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 2, \"d\": 5, \"e\": 46}", "seed": "6888033477498168871", "semantic_fingerprint": "sha256:d0c3ecc6bd3eb83d47b6f80535b9acbf60424964bb601a40fd00b5098a38f878", "generator_version": "3.0"}
{"id": "v3_test_id_00006138", "prompt": "Find x: 9x = 8(x - 25) + 213", "solution_steps": ["Expand: 9x = 8x - 200 + 213", "Combine constants: 9x = 8x + 13", "Subtract 8x from both sides: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x = 8(x - 25) + 213", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 8, \"c\": 25, \"e\": 213, \"x\": 13}", "seed": "17009867887982818413", "semantic_fingerprint": "sha256:2d7380d7b735c5955f9bef79bdbc0a0f57f89a1c45749a706417e0979c96fcdd", "generator_version": "3.0"}
{"id": "v3_test_id_00006139", "prompt": "Calculate: (-3 + (17 - (-18))) / (-4 * (-711 / (-92)))", "solution_steps": ["Subtract: 17 - (-18) = 35", "Add: -3 + 35 = 32", "Divide: -711 / (-92) = 711/92", "Multiply: -4 * (711/92) = -711/23", "Divide: 32 / (-711/23) = -736/711"], "final_answer": "-736/711", "answer_type": "rational", "kind": "expression", "math_text": "(-3 + (17 - (-18))) / (-4 * (-711 / (-92)))", "variable": null, "family": "expression_5op", "shape": "(/ (+ n (- n n)) (* n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 17, \"c\": -18, \"d\": -4, \"e\": -711, \"f\": -92}", "seed": "1152145657955450359", "semantic_fingerprint": "sha256:6c672506876e80d7bd233743e906e66557be16df455dc5000303a8534eea1dac", "generator_version": "3.0"}
{"id": "v3_test_id_00006140", "prompt": "What is 489 * (-81 * (-2) / (361 + (-7)))?", "solution_steps": ["Multiply: -81 * (-2) = 162", "Add: 361 + (-7) = 354", "Divide: 162 / 354 = 27/59", "Multiply: 489 * (27/59) = 13203/59"], "final_answer": "13203/59", "answer_type": "rational", "kind": "expression", "math_text": "489 * (-81 * (-2) / (361 + (-7)))", "variable": null, "family": "expression_4op", "shape": "(* n (/ (* n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 489, \"b\": -81, \"c\": -2, \"d\": 361, \"e\": -7}", "seed": "8114822307771942259", "semantic_fingerprint": "sha256:9c7e9c6263cc28afafad89ef82af8e45daaea52c2a113fb05d7d466d0f8c48bf", "generator_version": "3.0"}
{"id": "v3_test_id_00006141", "prompt": "What is 0 / (-874 / (630 + 2))?", "solution_steps": ["Add: 630 + 2 = 632", "Divide: -874 / 632 = -437/316", "Divide: 0 / (-437/316) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-874 / (630 + 2))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -874, \"c\": 630, \"d\": 2}", "seed": "4053762205224136392", "semantic_fingerprint": "sha256:20c369a8c1969b12252cd3d673e91aacf7c6b675abf4d8c114d7bdb491dc4f69", "generator_version": "3.0"}
{"id": "v3_test_id_00006142", "prompt": "What value of x satisfies 12x = x - 91?", "solution_steps": ["Subtract x from both sides: 11x = -91", "Divide both sides by 11: x = -91/11"], "final_answer": "-91/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "12x = x - 91", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 91}", "seed": "17160588753744567804", "semantic_fingerprint": "sha256:f3471a9e934f49fa85524f4673e2dc5870b1d0b61e0c60d20f2cab54773a0fb7", "generator_version": "3.0"}
{"id": "v3_test_id_00006143", "prompt": "Solve for x: 5(x - 3) - 1 = x - 64", "solution_steps": ["Expand: 5x - 15 - 1 = x - 64", "Combine constants: 5x - 16 = x - 64", "Subtract x from both sides: 4x - 16 = -64", "Add 16 to both sides: 4x = -48", "Divide both sides by 4: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 3) - 1 = x - 64", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 1, \"e\": -64, \"x\": -12}", "seed": "9977860338085272264", "semantic_fingerprint": "sha256:fc72d854da9cefdd93efac1cd2e7b98960f1144d25719a5e7af70066d1bca7f5", "generator_version": "3.0"}
{"id": "v3_test_id_00006144", "prompt": "Find x: 10(x + 3) - 6 = 4(x + 30) - 99", "solution_steps": ["Expand: 10x + 30 - 6 = 4(x + 30) - 99", "Expand: 10x + 30 - 6 = 4x + 120 - 99", "Combine constants: 10x + 24 = 4x + 120 - 99", "Combine constants: 10x + 24 = 4x + 21", "Subtract 4x from both sides: 6x + 24 = 21", "Subtract 24 from both sides: 6x = -3", "Divide both sides by 6: x = -1/2"], "final_answer": "-1/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 3) - 6 = 4(x + 30) - 99", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 3, \"c\": 6, \"d\": 4, \"e\": 30, \"f\": 99}", "seed": "1918741748194176287", "semantic_fingerprint": "sha256:8ceb35f39a2f0a20c988af730470a322581646f48392a50d961805f3cb1d0737", "generator_version": "3.0"}
{"id": "v3_test_id_00006145", "prompt": "What value of x satisfies -3(x + 92) + 276 = 12x?", "solution_steps": ["Expand: -3x - 276 + 276 = 12x", "Combine constants: -3x = 12x", "Subtract 12x from both sides: -15x = 0", "Divide both sides by -15: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x + 92) + 276 = 12x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 92, \"c\": 12, \"e\": 276, \"x\": 0}", "seed": "6157323768068556282", "semantic_fingerprint": "sha256:3c1aaa4c791ac02d5adb612bb2cadf3c96de06ea69407ecc50939ba0dd869d8c", "generator_version": "3.0"}
{"id": "v3_test_id_00006146", "prompt": "Find x: x = 4(x + 189) - 768", "solution_steps": ["Expand: x = 4x + 756 - 768", "Combine constants: x = 4x - 12", "Subtract 4x from both sides: -3x = -12", "Divide both sides by -3: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 4(x + 189) - 768", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 189, \"d\": -768, \"x\": 4}", "seed": "15411457963813983512", "semantic_fingerprint": "sha256:942ffbac05cbe2b0690bb6b4f715a8a527247bf9648e95d9677f9a69ed503427", "generator_version": "3.0"}
{"id": "v3_test_id_00006147", "prompt": "Find x: 9(x + 7) = 4x", "solution_steps": ["Expand: 9x + 63 = 4x", "Subtract 4x from both sides: 5x + 63 = 0", "Subtract 63 from both sides: 5x = -63", "Divide both sides by 5: x = -63/5"], "final_answer": "-63/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "9(x + 7) = 4x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": 4}", "seed": "5776248653834629178", "semantic_fingerprint": "sha256:e12d0cbed7ec717434955fd6bc6b6d09b539f77c635731e10df8a94ff0e2b08e", "generator_version": "3.0"}
{"id": "v3_test_id_00006148", "prompt": "Solve for x: 2x = 8(x - 98) - 343", "solution_steps": ["Expand: 2x = 8x - 784 - 343", "Combine constants: 2x = 8x - 1127", "Subtract 8x from both sides: -6x = -1127", "Divide both sides by -6: x = 1127/6"], "final_answer": "1127/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x = 8(x - 98) - 343", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 8, \"c\": 98, \"d\": 343}", "seed": "28499956950980831", "semantic_fingerprint": "sha256:8ab4cf93fa8dd07b16ca89ac921e56dd5d217857a196e2d966c8839018b65b42", "generator_version": "3.0"}
{"id": "v3_test_id_00006149", "prompt": "Evaluate: -1 / (-39)", "solution_steps": ["Divide: -1 / (-39) = 1/39"], "final_answer": "1/39", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (-39)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -39}", "seed": "14407389848064038539", "semantic_fingerprint": "sha256:d5bd557689fe33637378a58bdf86fbfa81e1f3632d6669b95e31d7257aa01900", "generator_version": "3.0"}
{"id": "v3_test_id_00006150", "prompt": "Evaluate: -82 / 7", "solution_steps": ["Divide: -82 / 7 = -82/7"], "final_answer": "-82/7", "answer_type": "rational", "kind": "expression", "math_text": "-82 / 7", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -82, \"b\": 7}", "seed": "16895901174335117841", "semantic_fingerprint": "sha256:0489255881c0f1527b472e3841a5d54e5219456d3dabd628ccbe6579c513100f", "generator_version": "3.0"}
{"id": "v3_test_id_00006151", "prompt": "Compute: -5 / (-73) / (-8)", "solution_steps": ["Divide: -5 / (-73) = 5/73", "Divide: (5/73) / (-8) = -5/584"], "final_answer": "-5/584", "answer_type": "rational", "kind": "expression", "math_text": "-5 / (-73) / (-8)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -73, \"c\": -8}", "seed": "14380911223672524571", "semantic_fingerprint": "sha256:9ed62ad57455215a7286f5a43c079ccadda9705a11e248ea3125f8578c80254d", "generator_version": "3.0"}
{"id": "v3_test_id_00006152", "prompt": "Calculate: -9 - (-106)", "solution_steps": ["Subtract: -9 - (-106) = 97"], "final_answer": "97", "answer_type": "integer", "kind": "expression", "math_text": "-9 - (-106)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -106}", "seed": "3288348422321543766", "semantic_fingerprint": "sha256:cf48bdba3141f208b0b1cbf837dd98de2e2dce96a9c75a5bde6d34c745ad50fb", "generator_version": "3.0"}
{"id": "v3_test_id_00006153", "prompt": "Calculate: 11 * (569 + (-6) / 84)", "solution_steps": ["Divide: -6 / 84 = -1/14", "Add: 569 + (-1/14) = 7965/14", "Multiply: 11 * (7965/14) = 87615/14"], "final_answer": "87615/14", "answer_type": "rational", "kind": "expression", "math_text": "11 * (569 + (-6) / 84)", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 569, \"c\": -6, \"d\": 84}", "seed": "16915299502103563956", "semantic_fingerprint": "sha256:77a3da4229ba6401a6a5bd8dc5e217a838d5c6c133b0285dcced88a906c9dbe9", "generator_version": "3.0"}
{"id": "v3_test_id_00006154", "prompt": "Compute: (-463 + 612 - 9) / (-1)", "solution_steps": ["Add: -463 + 612 = 149", "Subtract: 149 - 9 = 140", "Divide: 140 / (-1) = -140"], "final_answer": "-140", "answer_type": "integer", "kind": "expression", "math_text": "(-463 + 612 - 9) / (-1)", "variable": null, "family": "expression_3op", "shape": "(/ (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -463, \"b\": 612, \"c\": 9, \"d\": -1}", "seed": "17740410461046342179", "semantic_fingerprint": "sha256:b34b69743b3c74245686cb488d154b331908f3f730d0d9c506201f2d6194c186", "generator_version": "3.0"}
{"id": "v3_test_id_00006155", "prompt": "Evaluate: -193 - 118", "solution_steps": ["Subtract: -193 - 118 = -311"], "final_answer": "-311", "answer_type": "integer", "kind": "expression", "math_text": "-193 - 118", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -193, \"b\": 118}", "seed": "12827927092415024065", "semantic_fingerprint": "sha256:085a66550639333a4b5db6acc8c6b7c3995372bb22190e29d45555ab3b9206da", "generator_version": "3.0"}
{"id": "v3_test_id_00006156", "prompt": "Solve for x: 10(x - 6) + 24 = -6(x + 57) + 322", "solution_steps": ["Expand: 10x - 60 + 24 = -6(x + 57) + 322", "Expand: 10x - 60 + 24 = -6x - 342 + 322", "Combine constants: 10x - 36 = -6x - 342 + 322", "Combine constants: 10x - 36 = -6x - 20", "Add 6x to both sides: 16x - 36 = -20", "Add 36 to both sides: 16x = 16", "Divide both sides by 16: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 6) + 24 = -6(x + 57) + 322", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 6, \"c\": 24, \"d\": -6, \"e\": 57, \"g\": 322, \"x\": 1}", "seed": "13969945320251458239", "semantic_fingerprint": "sha256:1c46b65574154b0505933cebd75af2dccca3ac340f2f7214746bd853216d7d07", "generator_version": "3.0"}
{"id": "v3_test_id_00006157", "prompt": "Evaluate: -175 / (98 + (-4))", "solution_steps": ["Add: 98 + (-4) = 94", "Divide: -175 / 94 = -175/94"], "final_answer": "-175/94", "answer_type": "rational", "kind": "expression", "math_text": "-175 / (98 + (-4))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -175, \"b\": 98, \"c\": -4}", "seed": "11893308604410749536", "semantic_fingerprint": "sha256:b33838cde3a975702638c9a72a4a85d926a7050f83a0717a9b307d34cc026874", "generator_version": "3.0"}
{"id": "v3_test_id_00006158", "prompt": "Solve the equation 2(x - 5) + 33 = -7(x - 1) + 75 for x.", "solution_steps": ["Expand: 2x - 10 + 33 = -7(x - 1) + 75", "Expand: 2x - 10 + 33 = -7x + 7 + 75", "Combine constants: 2x + 23 = -7x + 7 + 75", "Combine constants: 2x + 23 = -7x + 82", "Add 7x to both sides: 9x + 23 = 82", "Subtract 23 from both sides: 9x = 59", "Divide both sides by 9: x = 59/9"], "final_answer": "59/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x - 5) + 33 = -7(x - 1) + 75", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"c\": 33, \"d\": -7, \"e\": 1, \"f\": 75}", "seed": "4204297938055802828", "semantic_fingerprint": "sha256:9b83dc8c60e92370ddb40f8a68f39b6e80036a6221239f83efbbad2f42c3a4d2", "generator_version": "3.0"}
{"id": "v3_test_id_00006159", "prompt": "Compute: -16 + (92 - (-302 + 70)) * (-705)", "solution_steps": ["Add: -302 + 70 = -232", "Subtract: 92 - (-232) = 324", "Multiply: 324 * (-705) = -228420", "Add: -16 + (-228420) = -228436"], "final_answer": "-228436", "answer_type": "integer", "kind": "expression", "math_text": "-16 + (92 - (-302 + 70)) * (-705)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (- n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": 92, \"c\": -302, \"d\": 70, \"e\": -705}", "seed": "11831084936290702903", "semantic_fingerprint": "sha256:4db819cbaa150578c09daea52cb442423462859ae41cb21a0bc949b96ce21917", "generator_version": "3.0"}
{"id": "v3_test_id_00006160", "prompt": "What is (-63 + (0 + 7 / (-4))) * (-183)?", "solution_steps": ["Divide: 7 / (-4) = -7/4", "Add: 0 + (-7/4) = -7/4", "Add: -63 + (-7/4) = -259/4", "Multiply: (-259/4) * (-183) = 47397/4"], "final_answer": "47397/4", "answer_type": "rational", "kind": "expression", "math_text": "(-63 + (0 + 7 / (-4))) * (-183)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (+ n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": 0, \"c\": 7, \"d\": -4, \"e\": -183}", "seed": "11485979702514595897", "semantic_fingerprint": "sha256:e2b18447fea50f0ec0e606b74b8af17cf9c6469821c5ef58be1c1b1c66519f2d", "generator_version": "3.0"}
{"id": "v3_test_id_00006161", "prompt": "Solve for x: 6(x + 1) - 101 = x", "solution_steps": ["Expand: 6x + 6 - 101 = x", "Combine constants: 6x - 95 = x", "Subtract x from both sides: 5x - 95 = 0", "Add 95 to both sides: 5x = 95", "Divide both sides by 5: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 1) - 101 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 1, \"d\": -101, \"x\": 19}", "seed": "2274987025077551550", "semantic_fingerprint": "sha256:d38434b7f682bdc3dbb1a49a5dd2f0b1d7e74c30986b76b10f56f51a0d4244e3", "generator_version": "3.0"}
{"id": "v3_test_id_00006162", "prompt": "What is -7 * (8 - (93 * (-776) + 388) + 6)?", "solution_steps": ["Multiply: 93 * (-776) = -72168", "Add: -72168 + 388 = -71780", "Subtract: 8 - (-71780) = 71788", "Add: 71788 + 6 = 71794", "Multiply: -7 * 71794 = -502558"], "final_answer": "-502558", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (8 - (93 * (-776) + 388) + 6)", "variable": null, "family": "expression_5op", "shape": "(* n (+ (- n (+ (* n n) n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 8, \"c\": 93, \"d\": -776, \"e\": 388, \"f\": 6}", "seed": "12113450667290419165", "semantic_fingerprint": "sha256:c58605d54915a52e2684693aa8ece036f3ba05eef23a3b7ce0e49464a60f3625", "generator_version": "3.0"}
{"id": "v3_test_id_00006163", "prompt": "Solve the equation x = -12x + 130 for x.", "solution_steps": ["Add 12x to both sides: 13x = 130", "Divide both sides by 13: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -12x + 130", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -12, \"c\": 130, \"x\": 10}", "seed": "16910158062416158811", "semantic_fingerprint": "sha256:ec6e580dda9135a35de03720243be01dd6592ca97a277a8629a3c9d5e2ad87c3", "generator_version": "3.0"}
{"id": "v3_test_id_00006164", "prompt": "Find x: 8(x - 70) = x - 679", "solution_steps": ["Expand: 8x - 560 = x - 679", "Subtract x from both sides: 7x - 560 = -679", "Add 560 to both sides: 7x = -119", "Divide both sides by 7: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 70) = x - 679", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 70, \"d\": -679, \"x\": -17}", "seed": "5185862661786671338", "semantic_fingerprint": "sha256:9453fb09be66c69efd299a25fc198a80dc7f7935ad6691510cafd4efe15a2155", "generator_version": "3.0"}
{"id": "v3_test_id_00006165", "prompt": "Calculate: -7 / (-73) * (0 + 9)", "solution_steps": ["Divide: -7 / (-73) = 7/73", "Add: 0 + 9 = 9", "Multiply: (7/73) * 9 = 63/73"], "final_answer": "63/73", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (-73) * (0 + 9)", "variable": null, "family": "expression_3op", "shape": "(* (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -73, \"c\": 0, \"d\": 9}", "seed": "11067064577074320341", "semantic_fingerprint": "sha256:1e91aecab37c939dda820ca56fe06ca70a47ebe91ef7fcc2501f14745326a274", "generator_version": "3.0"}
{"id": "v3_test_id_00006166", "prompt": "Solve for x: 7x + 5 = 8(x - 8) + 72", "solution_steps": ["Expand: 7x + 5 = 8x - 64 + 72", "Combine constants: 7x + 5 = 8x + 8", "Subtract 8x from both sides: -x + 5 = 8", "Subtract 5 from both sides: -x = 3", "Divide both sides by -1: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 5 = 8(x - 8) + 72", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 5, \"c\": 8, \"d\": 8, \"f\": 72, \"x\": -3}", "seed": "7801453874571690886", "semantic_fingerprint": "sha256:48da392e0fa6b1d06485e2e0dfd1954ccb226122fbb7c23ec868383fc748494e", "generator_version": "3.0"}
{"id": "v3_test_id_00006167", "prompt": "Compute: -425 + 4 - (86 + (7 + (-22))) - (-3)", "solution_steps": ["Add: -425 + 4 = -421", "Add: 7 + (-22) = -15", "Add: 86 + (-15) = 71", "Subtract: -421 - 71 = -492", "Subtract: -492 - (-3) = -489"], "final_answer": "-489", "answer_type": "integer", "kind": "expression", "math_text": "-425 + 4 - (86 + (7 + (-22))) - (-3)", "variable": null, "family": "expression_5op", "shape": "(- (- (+ n n) (+ n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -425, \"b\": 4, \"c\": 86, \"d\": 7, \"e\": -22, \"f\": -3}", "seed": "16948868417765487485", "semantic_fingerprint": "sha256:30c5adc8a666617ce8a02b52352fe87293b3bd3d213d8bab112005d474fa60c9", "generator_version": "3.0"}
{"id": "v3_test_id_00006168", "prompt": "What is -535 - 9 + 72?", "solution_steps": ["Subtract: -535 - 9 = -544", "Add: -544 + 72 = -472"], "final_answer": "-472", "answer_type": "integer", "kind": "expression", "math_text": "-535 - 9 + 72", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -535, \"b\": 9, \"c\": 72}", "seed": "9576957741964410801", "semantic_fingerprint": "sha256:9126b11077598b35e3fd3aa1dde8385fc363793d92d5b097cb12b4df55a9dcf5", "generator_version": "3.0"}
{"id": "v3_test_id_00006169", "prompt": "Calculate: 0 - (-3) - 56", "solution_steps": ["Subtract: 0 - (-3) = 3", "Subtract: 3 - 56 = -53"], "final_answer": "-53", "answer_type": "integer", "kind": "expression", "math_text": "0 - (-3) - 56", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -3, \"c\": 56}", "seed": "9871280046259504191", "semantic_fingerprint": "sha256:0a82e27f3dc6256d242d4013b1d32eced6565d799bc10f31b6e4172c1accdade", "generator_version": "3.0"}
{"id": "v3_test_id_00006170", "prompt": "Solve for x: 9x - 876 = -786", "solution_steps": ["Add 876 to both sides: 9x = 90", "Divide both sides by 9: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x - 876 = -786", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 876, \"d\": -786, \"x\": 10}", "seed": "7947214508154081310", "semantic_fingerprint": "sha256:bc591210d0671da6832812dcae0c8976963339578a1f6fe851b44e00289dea08", "generator_version": "3.0"}
{"id": "v3_test_id_00006171", "prompt": "What is (8 + 1) / (-7)?", "solution_steps": ["Add: 8 + 1 = 9", "Divide: 9 / (-7) = -9/7"], "final_answer": "-9/7", "answer_type": "rational", "kind": "expression", "math_text": "(8 + 1) / (-7)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1, \"c\": -7}", "seed": "8309349885190529621", "semantic_fingerprint": "sha256:05d728d45ec363538d126749231095a19f0ab4573fe11c7157650e0dcd92907c", "generator_version": "3.0"}
{"id": "v3_test_id_00006172", "prompt": "Calculate: 325 - (-8) * (-133)", "solution_steps": ["Multiply: -8 * (-133) = 1064", "Subtract: 325 - 1064 = -739"], "final_answer": "-739", "answer_type": "integer", "kind": "expression", "math_text": "325 - (-8) * (-133)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 325, \"b\": -8, \"c\": -133}", "seed": "11659596973991798750", "semantic_fingerprint": "sha256:7ff1367c2e5fc0d67140b16ae58cdbe7f65dce71efa17a254defdffe2e44ce3f", "generator_version": "3.0"}
{"id": "v3_test_id_00006173", "prompt": "Solve the equation 3x = 10(x - 86) + 825 for x.", "solution_steps": ["Expand: 3x = 10x - 860 + 825", "Combine constants: 3x = 10x - 35", "Subtract 10x from both sides: -7x = -35", "Divide both sides by -7: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x = 10(x - 86) + 825", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 10, \"c\": 86, \"e\": 825, \"x\": 5}", "seed": "1673640899751387424", "semantic_fingerprint": "sha256:cc6e2957ba8cef9c6d1d08a4805d587a12ce97ec885934afec06de90342c1616", "generator_version": "3.0"}
{"id": "v3_test_id_00006174", "prompt": "What is 0 + (-67 / 1 - (-831))?", "solution_steps": ["Divide: -67 / 1 = -67", "Subtract: -67 - (-831) = 764", "Add: 0 + 764 = 764"], "final_answer": "764", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-67 / 1 - (-831))", "variable": null, "family": "expression_3op", "shape": "(+ n (- (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -67, \"c\": 1, \"d\": -831}", "seed": "5813627949923805746", "semantic_fingerprint": "sha256:ff14504bf484d74c5b5b402d5137a57781338f75dfca3d36d81f9c4157222163", "generator_version": "3.0"}
{"id": "v3_test_id_00006175", "prompt": "What is -192 - (6 + (-582))?", "solution_steps": ["Add: 6 + (-582) = -576", "Subtract: -192 - (-576) = 384"], "final_answer": "384", "answer_type": "integer", "kind": "expression", "math_text": "-192 - (6 + (-582))", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -192, \"b\": 6, \"c\": -582}", "seed": "5680286071284683125", "semantic_fingerprint": "sha256:34ddacbbaa832cf1b965adc4771b138825e159bfcae04a2ca765e34d258d45ef", "generator_version": "3.0"}
{"id": "v3_test_id_00006176", "prompt": "Find x: -9(x + 9) = 4(x + 28) - 2", "solution_steps": ["Expand: -9x - 81 = 4(x + 28) - 2", "Expand: -9x - 81 = 4x + 112 - 2", "Combine constants: -9x - 81 = 4x + 110", "Subtract 4x from both sides: -13x - 81 = 110", "Add 81 to both sides: -13x = 191", "Divide both sides by -13: x = -191/13"], "final_answer": "-191/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-9(x + 9) = 4(x + 28) - 2", "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\": 28, \"e\": 2}", "seed": "18340660828159003359", "semantic_fingerprint": "sha256:7d7d45a7f5c308564d0277ee5f84ef68b47b94ce36737360d1305bae4635168a", "generator_version": "3.0"}
{"id": "v3_test_id_00006177", "prompt": "What is -1 * 23 / 2?", "solution_steps": ["Multiply: -1 * 23 = -23", "Divide: -23 / 2 = -23/2"], "final_answer": "-23/2", "answer_type": "rational", "kind": "expression", "math_text": "-1 * 23 / 2", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 23, \"c\": 2}", "seed": "6667139759191105262", "semantic_fingerprint": "sha256:cb0c1d79e7aa6aec3698d510809dea753c93e0c688b274d4b027eddc7d40814d", "generator_version": "3.0"}
{"id": "v3_test_id_00006178", "prompt": "Calculate: -3 - (-31) - (1 - 2) / 67", "solution_steps": ["Subtract: -3 - (-31) = 28", "Subtract: 1 - 2 = -1", "Divide: -1 / 67 = -1/67", "Subtract: 28 - (-1/67) = 1877/67"], "final_answer": "1877/67", "answer_type": "rational", "kind": "expression", "math_text": "-3 - (-31) - (1 - 2) / 67", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -31, \"c\": 1, \"d\": 2, \"e\": 67}", "seed": "6255495672833659214", "semantic_fingerprint": "sha256:cf4b55703c5ec080c3fb5f1b68138c8988f4618e80434413a30b88933ffee719", "generator_version": "3.0"}
{"id": "v3_test_id_00006179", "prompt": "What is -85 / 76 * (-382 / (-111 - (-84)))?", "solution_steps": ["Divide: -85 / 76 = -85/76", "Subtract: -111 - (-84) = -27", "Divide: -382 / (-27) = 382/27", "Multiply: (-85/76) * (382/27) = -16235/1026"], "final_answer": "-16235/1026", "answer_type": "rational", "kind": "expression", "math_text": "-85 / 76 * (-382 / (-111 - (-84)))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": 76, \"c\": -382, \"d\": -111, \"e\": -84}", "seed": "9296546107060196200", "semantic_fingerprint": "sha256:2138aad2457d57076714e4aff1e0f88174ceb9b47fc2508b5e13834827c9769a", "generator_version": "3.0"}
{"id": "v3_test_id_00006180", "prompt": "What is 41 + 1 + (-2) - 39 + 3 * 41?", "solution_steps": ["Add: 41 + 1 = 42", "Add: 42 + (-2) = 40", "Subtract: 40 - 39 = 1", "Multiply: 3 * 41 = 123", "Add: 1 + 123 = 124"], "final_answer": "124", "answer_type": "integer", "kind": "expression", "math_text": "41 + 1 + (-2) - 39 + 3 * 41", "variable": null, "family": "expression_5op", "shape": "(+ (- (+ (+ n n) n) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": 1, \"c\": -2, \"d\": 39, \"e\": 3, \"f\": 41}", "seed": "18170240408685117751", "semantic_fingerprint": "sha256:5d339a9eeb3436111670a0fdb62cd0c8ef756de9077f3a842a5fc428fc50dc33", "generator_version": "3.0"}
{"id": "v3_test_id_00006181", "prompt": "Evaluate: 75 - (-168) - 91", "solution_steps": ["Subtract: 75 - (-168) = 243", "Subtract: 243 - 91 = 152"], "final_answer": "152", "answer_type": "integer", "kind": "expression", "math_text": "75 - (-168) - 91", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 75, \"b\": -168, \"c\": 91}", "seed": "16971186219845457335", "semantic_fingerprint": "sha256:5b3580504db5c2d93895c0fc546fc95ae6d79378b14c06ce62b519313b40d99f", "generator_version": "3.0"}
{"id": "v3_test_id_00006182", "prompt": "Calculate: -33 * (-8 + 63 + (-21) - 52 * 16)", "solution_steps": ["Add: -8 + 63 = 55", "Add: 55 + (-21) = 34", "Multiply: 52 * 16 = 832", "Subtract: 34 - 832 = -798", "Multiply: -33 * (-798) = 26334"], "final_answer": "26334", "answer_type": "integer", "kind": "expression", "math_text": "-33 * (-8 + 63 + (-21) - 52 * 16)", "variable": null, "family": "expression_5op", "shape": "(* n (- (+ (+ n n) n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": -8, \"c\": 63, \"d\": -21, \"e\": 52, \"f\": 16}", "seed": "16187832986450598052", "semantic_fingerprint": "sha256:390166be3bf7f5768f2879a9bc6319891c2c24f0d19389bda8cd77f85f391c6a", "generator_version": "3.0"}
{"id": "v3_test_id_00006183", "prompt": "What is -736 / 465?", "solution_steps": ["Divide: -736 / 465 = -736/465"], "final_answer": "-736/465", "answer_type": "rational", "kind": "expression", "math_text": "-736 / 465", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -736, \"b\": 465}", "seed": "15973437342187320376", "semantic_fingerprint": "sha256:3abc3e63196a08d093c6f36a7c6b39c24a0527c1abb7298e66b0d79cfc3f6522", "generator_version": "3.0"}
{"id": "v3_test_id_00006184", "prompt": "Compute: (-639 / 1 - 0) / (-26 - 42 - (-5))", "solution_steps": ["Divide: -639 / 1 = -639", "Subtract: -639 - 0 = -639", "Subtract: -26 - 42 = -68", "Subtract: -68 - (-5) = -63", "Divide: -639 / (-63) = 71/7"], "final_answer": "71/7", "answer_type": "rational", "kind": "expression", "math_text": "(-639 / 1 - 0) / (-26 - 42 - (-5))", "variable": null, "family": "expression_5op", "shape": "(/ (- (/ n n) n) (- (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -639, \"b\": 1, \"c\": 0, \"d\": -26, \"e\": 42, \"f\": -5}", "seed": "7834822415812495220", "semantic_fingerprint": "sha256:bfcd0988a106da07a0562fefa131da30c9ed3898897e33472c85e96aad5b4d23", "generator_version": "3.0"}
{"id": "v3_test_id_00006185", "prompt": "Find x: x + 403 = 8(x + 60)", "solution_steps": ["Expand: x + 403 = 8x + 480", "Subtract 8x from both sides: -7x + 403 = 480", "Subtract 403 from both sides: -7x = 77", "Divide both sides by -7: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 403 = 8(x + 60)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 60, \"d\": 403, \"x\": -11}", "seed": "6768611106195695449", "semantic_fingerprint": "sha256:976a071adcca452e67379993f9d21a2c4cc96a0cc49e7af5105f0f5249cab942", "generator_version": "3.0"}
{"id": "v3_test_id_00006186", "prompt": "Evaluate: -4 / (-191)", "solution_steps": ["Divide: -4 / (-191) = 4/191"], "final_answer": "4/191", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-191)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -191}", "seed": "4110981471708279131", "semantic_fingerprint": "sha256:58197d2f10ec63a874dffe56c8c49688a050ffddb85216fa7848367c3981cbe3", "generator_version": "3.0"}
{"id": "v3_test_id_00006187", "prompt": "What is -16 * (-239) * (62 / (-55) / (-38)) - 71?", "solution_steps": ["Multiply: -16 * (-239) = 3824", "Divide: 62 / (-55) = -62/55", "Divide: (-62/55) / (-38) = 31/1045", "Multiply: 3824 * (31/1045) = 118544/1045", "Subtract: 118544/1045 - 71 = 44349/1045"], "final_answer": "44349/1045", "answer_type": "rational", "kind": "expression", "math_text": "-16 * (-239) * (62 / (-55) / (-38)) - 71", "variable": null, "family": "expression_5op", "shape": "(- (* (* n n) (/ (/ n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": -239, \"c\": 62, \"d\": -55, \"e\": -38, \"f\": 71}", "seed": "2108969643583685132", "semantic_fingerprint": "sha256:14ca841143bfaf25a2f0627623ef03777adfdcb6be03b21396432b41207401a4", "generator_version": "3.0"}
{"id": "v3_test_id_00006188", "prompt": "Find x: -3x = 6x - 15", "solution_steps": ["Subtract 6x from both sides: -9x = -15", "Divide both sides by -9: x = 5/3"], "final_answer": "5/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3x = 6x - 15", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 6, \"c\": 15}", "seed": "15925243795915180990", "semantic_fingerprint": "sha256:caf2594e46d44615c2da15299db4a809b73566a2b16d01399b43a68725a7f995", "generator_version": "3.0"}
{"id": "v3_test_id_00006189", "prompt": "Solve the equation -2(x - 69) = -5(x + 6) + 132 for x.", "solution_steps": ["Expand: -2x + 138 = -5(x + 6) + 132", "Expand: -2x + 138 = -5x - 30 + 132", "Combine constants: -2x + 138 = -5x + 102", "Add 5x to both sides: 3x + 138 = 102", "Subtract 138 from both sides: 3x = -36", "Divide both sides by 3: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 69) = -5(x + 6) + 132", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 69, \"c\": -5, \"d\": 6, \"f\": 132, \"x\": -12}", "seed": "243453074913915275", "semantic_fingerprint": "sha256:dfb1a98b14e7799ec06175eee185e4bffd7c6553e579b5575ed200f2651bd436", "generator_version": "3.0"}
{"id": "v3_test_id_00006190", "prompt": "What is -68 * (-69) + (81 - 56 + (-56)) * 1?", "solution_steps": ["Multiply: -68 * (-69) = 4692", "Subtract: 81 - 56 = 25", "Add: 25 + (-56) = -31", "Multiply: -31 * 1 = -31", "Add: 4692 + (-31) = 4661"], "final_answer": "4661", "answer_type": "integer", "kind": "expression", "math_text": "-68 * (-69) + (81 - 56 + (-56)) * 1", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (* (+ (- n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -68, \"b\": -69, \"c\": 81, \"d\": 56, \"e\": -56, \"f\": 1}", "seed": "5141937934942231549", "semantic_fingerprint": "sha256:d1fb7690f17227874ce3ab80dc7d81861278f51a519a3ea04fb49377343546a5", "generator_version": "3.0"}
{"id": "v3_test_id_00006191", "prompt": "What value of x satisfies 12(x + 5) - 192 = x?", "solution_steps": ["Expand: 12x + 60 - 192 = x", "Combine constants: 12x - 132 = x", "Subtract x from both sides: 11x - 132 = 0", "Add 132 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 + 5) - 192 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"d\": -192, \"x\": 12}", "seed": "7928937981060053446", "semantic_fingerprint": "sha256:69bf8499cfc0d747c0e7e0e6f53a53ab6e6f3b39ccd2c7af793cd49bb5697e79", "generator_version": "3.0"}
{"id": "v3_test_id_00006192", "prompt": "Evaluate: -1 + (-7) * (-55) + 4", "solution_steps": ["Multiply: -7 * (-55) = 385", "Add: -1 + 385 = 384", "Add: 384 + 4 = 388"], "final_answer": "388", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (-7) * (-55) + 4", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -7, \"c\": -55, \"d\": 4}", "seed": "10253326011094100742", "semantic_fingerprint": "sha256:38123a2695dc7a44bdcdd33be7bb81d7e24501c80cd1936bd1d85867a4f04e3c", "generator_version": "3.0"}
{"id": "v3_test_id_00006193", "prompt": "What value of x satisfies x = -12(x - 4) - 217?", "solution_steps": ["Expand: x = -12x + 48 - 217", "Combine constants: x = -12x - 169", "Add 12x to both sides: 13x = -169", "Divide both sides by 13: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -12(x - 4) - 217", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 4, \"d\": -217, \"x\": -13}", "seed": "9480314009948058727", "semantic_fingerprint": "sha256:90ccf7097ee5b7a85a1fee671dea3b045673112bfc8e234bbb89cb1dad75f466", "generator_version": "3.0"}
{"id": "v3_test_id_00006194", "prompt": "What is -427 / (-5) * 3?", "solution_steps": ["Divide: -427 / (-5) = 427/5", "Multiply: (427/5) * 3 = 1281/5"], "final_answer": "1281/5", "answer_type": "rational", "kind": "expression", "math_text": "-427 / (-5) * 3", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -427, \"b\": -5, \"c\": 3}", "seed": "2904756333723133241", "semantic_fingerprint": "sha256:efeb5c28d60cbc9eb7faac1afa3382af979eb1ca936f16b56d0d97c74a53dbd4", "generator_version": "3.0"}
{"id": "v3_test_id_00006195", "prompt": "Evaluate: (-83 + (-436 - (-68))) * (-45 / (7 / 38))", "solution_steps": ["Subtract: -436 - (-68) = -368", "Add: -83 + (-368) = -451", "Divide: 7 / 38 = 7/38", "Divide: -45 / (7/38) = -1710/7", "Multiply: -451 * (-1710/7) = 771210/7"], "final_answer": "771210/7", "answer_type": "rational", "kind": "expression", "math_text": "(-83 + (-436 - (-68))) * (-45 / (7 / 38))", "variable": null, "family": "expression_5op", "shape": "(* (+ n (- n n)) (/ n (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -83, \"b\": -436, \"c\": -68, \"d\": -45, \"e\": 7, \"f\": 38}", "seed": "18059009166706378700", "semantic_fingerprint": "sha256:6a2b9afdf4afa3d0ae5d2061fb4bb07596f17d68bd2b8554034f37b07633ce03", "generator_version": "3.0"}
{"id": "v3_test_id_00006196", "prompt": "Evaluate: -99 / (-38) - (-7)", "solution_steps": ["Divide: -99 / (-38) = 99/38", "Subtract: 99/38 - (-7) = 365/38"], "final_answer": "365/38", "answer_type": "rational", "kind": "expression", "math_text": "-99 / (-38) - (-7)", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": -38, \"c\": -7}", "seed": "2939536798546653202", "semantic_fingerprint": "sha256:e0ee4338e3fefc7ec2dcebd8cfaa623d638256a36a913cbce93b64ceda76b54a", "generator_version": "3.0"}
{"id": "v3_test_id_00006197", "prompt": "Calculate: 7 + (35 + 6) + (0 + (-6) * 8)", "solution_steps": ["Add: 35 + 6 = 41", "Add: 7 + 41 = 48", "Multiply: -6 * 8 = -48", "Add: 0 + (-48) = -48", "Add: 48 + (-48) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "7 + (35 + 6) + (0 + (-6) * 8)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (+ n n)) (+ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 35, \"c\": 6, \"d\": 0, \"e\": -6, \"f\": 8}", "seed": "9751642006085763791", "semantic_fingerprint": "sha256:5db48cc86263db64112cdcc2820d47479ee06d5fe212648d913cd3e8d5657376", "generator_version": "3.0"}
{"id": "v3_test_id_00006198", "prompt": "Calculate: 265 / 67 * 21 + (-285) / (-9) - (-288)", "solution_steps": ["Divide: 265 / 67 = 265/67", "Multiply: (265/67) * 21 = 5565/67", "Divide: -285 / (-9) = 95/3", "Add: 5565/67 + 95/3 = 23060/201", "Subtract: 23060/201 - (-288) = 80948/201"], "final_answer": "80948/201", "answer_type": "rational", "kind": "expression", "math_text": "265 / 67 * 21 + (-285) / (-9) - (-288)", "variable": null, "family": "expression_5op", "shape": "(- (+ (* (/ n n) n) (/ n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 265, \"b\": 67, \"c\": 21, \"d\": -285, \"e\": -9, \"f\": -288}", "seed": "17475766880422836304", "semantic_fingerprint": "sha256:008cfd796bf82bf9766bc1eb5aa12d09a276b17514aca05e22520478b3fc6af4", "generator_version": "3.0"}
{"id": "v3_test_id_00006199", "prompt": "Evaluate: 5 + 16 / (84 + (-4))", "solution_steps": ["Add: 84 + (-4) = 80", "Divide: 16 / 80 = 1/5", "Add: 5 + 1/5 = 26/5"], "final_answer": "26/5", "answer_type": "rational", "kind": "expression", "math_text": "5 + 16 / (84 + (-4))", "variable": null, "family": "expression_3op", "shape": "(+ n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 16, \"c\": 84, \"d\": -4}", "seed": "752785228188463311", "semantic_fingerprint": "sha256:029a852cc92e802f06176ec4c029ecd2a5ee5aaca234ebe65f98a378858c3cad", "generator_version": "3.0"}
{"id": "v3_test_id_00006200", "prompt": "Find x: 3(x - 72) + 248 = x", "solution_steps": ["Expand: 3x - 216 + 248 = x", "Combine constants: 3x + 32 = x", "Subtract x from both sides: 2x + 32 = 0", "Subtract 32 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 - 72) + 248 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 72, \"d\": 248, \"x\": -16}", "seed": "11538232623439696968", "semantic_fingerprint": "sha256:165162b17e241fc6f466d9aba71e676acfe6e0e8b74ae9217bc294897d7adc5f", "generator_version": "3.0"}
{"id": "v3_test_id_00006201", "prompt": "Solve for x: 2x - 2 = x - 16", "solution_steps": ["Subtract x from both sides: x - 2 = -16", "Add 2 to both sides: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x - 2 = x - 16", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 2, \"d\": -16, \"x\": -14}", "seed": "14899539848219229707", "semantic_fingerprint": "sha256:38abcf62626bd87f81183453da540bf8cf2706e8301e4f5fbc033f2ec4663eae", "generator_version": "3.0"}
{"id": "v3_test_id_00006202", "prompt": "Solve the equation -5(x + 5) - 386 = -431 for x.", "solution_steps": ["Expand: -5x - 25 - 386 = -431", "Combine constants: -5x - 411 = -431", "Add 411 to both sides: -5x = -20", "Divide both sides by -5: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-5(x + 5) - 386 = -431", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 5, \"c\": 386, \"e\": -431, \"x\": 4}", "seed": "9193452983552288827", "semantic_fingerprint": "sha256:2314faa8a49f7f91ddcecb4894ca92c6a31fc124a90ac0db96b02e72b1b4d7d7", "generator_version": "3.0"}
{"id": "v3_test_id_00006203", "prompt": "Calculate: -616 * (-91)", "solution_steps": ["Multiply: -616 * (-91) = 56056"], "final_answer": "56056", "answer_type": "integer", "kind": "expression", "math_text": "-616 * (-91)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -616, \"b\": -91}", "seed": "15631686085224573974", "semantic_fingerprint": "sha256:9fd5e7c9dbd465e2a7261b9e2597b21c432abdfec2800190bc90976d7fa47f08", "generator_version": "3.0"}
{"id": "v3_test_id_00006204", "prompt": "What is -9 + (-50)?", "solution_steps": ["Add: -9 + (-50) = -59"], "final_answer": "-59", "answer_type": "integer", "kind": "expression", "math_text": "-9 + (-50)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -50}", "seed": "3619123363330828923", "semantic_fingerprint": "sha256:ac8c460099fed58bab8fece4f0a5af92ac91564fe36234171806a66b41c69435", "generator_version": "3.0"}
{"id": "v3_test_id_00006205", "prompt": "Solve for x: 6x - 7 = x + 28", "solution_steps": ["Subtract x from both sides: 5x - 7 = 28", "Add 7 to both sides: 5x = 35", "Divide both sides by 5: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 7 = x + 28", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 7, \"d\": 28, \"x\": 7}", "seed": "6019255112024806985", "semantic_fingerprint": "sha256:605405b398ca1f66c3f696341efbf35bb45df42fffa912c8688042d828dc7490", "generator_version": "3.0"}
{"id": "v3_test_id_00006206", "prompt": "What value of x satisfies -8(x + 9) + 5 = x - 68?", "solution_steps": ["Expand: -8x - 72 + 5 = x - 68", "Combine constants: -8x - 67 = x - 68", "Subtract x from both sides: -9x - 67 = -68", "Add 67 to both sides: -9x = -1", "Divide both sides by -9: x = 1/9"], "final_answer": "1/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x + 9) + 5 = x - 68", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 9, \"c\": 5, \"d\": 68}", "seed": "8069003567141876235", "semantic_fingerprint": "sha256:f13f4e34fd3b61271cc8610b05c235cce5f9af94eff205b8421b99b46ca9f1f9", "generator_version": "3.0"}
{"id": "v3_test_id_00006207", "prompt": "Find x: -2(x - 6) = -20", "solution_steps": ["Expand: -2x + 12 = -20", "Subtract 12 from both sides: -2x = -32", "Divide both sides by -2: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2(x - 6) = -20", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 6, \"d\": -20, \"x\": 16}", "seed": "13165009476666698439", "semantic_fingerprint": "sha256:c98102b4edfd5c14a26572967207fc4f05e88aa6d2bb3615bb4bc70d1f277b92", "generator_version": "3.0"}
{"id": "v3_test_id_00006208", "prompt": "What value of x satisfies 6(x - 2) + 6 = x + 24?", "solution_steps": ["Expand: 6x - 12 + 6 = x + 24", "Combine constants: 6x - 6 = x + 24", "Subtract x from both sides: 5x - 6 = 24", "Add 6 to both sides: 5x = 30", "Divide both sides by 5: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 2) + 6 = x + 24", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 6, \"d\": 24}", "seed": "5890033582706429840", "semantic_fingerprint": "sha256:8d1a9f004a1cc7ccdc36ee3de043e822a605326fa8508d7151be270d452c2550", "generator_version": "3.0"}
{"id": "v3_test_id_00006209", "prompt": "Compute: -85 * (285 - (-6))", "solution_steps": ["Subtract: 285 - (-6) = 291", "Multiply: -85 * 291 = -24735"], "final_answer": "-24735", "answer_type": "integer", "kind": "expression", "math_text": "-85 * (285 - (-6))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": 285, \"c\": -6}", "seed": "161914083290995597", "semantic_fingerprint": "sha256:2cedc37c83afd083df356a09b53c1436bb235368e675679bd20129ccc178c5f6", "generator_version": "3.0"}
{"id": "v3_test_id_00006210", "prompt": "Find x: x = 12(x - 6)", "solution_steps": ["Expand: x = 12x - 72", "Subtract 12x from both sides: -11x = -72", "Divide both sides by -11: x = 72/11"], "final_answer": "72/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 12(x - 6)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 6}", "seed": "890005035100878061", "semantic_fingerprint": "sha256:004e7b83a3c14f498cb95c61bde4fe90dc7436e6e1082f58e2cd575bb2229430", "generator_version": "3.0"}
{"id": "v3_test_id_00006211", "prompt": "Evaluate: (1 + 396) * (-5 - (232 + (-1)))", "solution_steps": ["Add: 1 + 396 = 397", "Add: 232 + (-1) = 231", "Subtract: -5 - 231 = -236", "Multiply: 397 * (-236) = -93692"], "final_answer": "-93692", "answer_type": "integer", "kind": "expression", "math_text": "(1 + 396) * (-5 - (232 + (-1)))", "variable": null, "family": "expression_4op", "shape": "(* (+ n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 396, \"c\": -5, \"d\": 232, \"e\": -1}", "seed": "15934580510697368619", "semantic_fingerprint": "sha256:ec34a4777598ee7eae933c5cd544b15024172e1deb35946e927df0579d1cc740", "generator_version": "3.0"}
{"id": "v3_test_id_00006212", "prompt": "Evaluate: -698 * (-185 / 5)", "solution_steps": ["Divide: -185 / 5 = -37", "Multiply: -698 * (-37) = 25826"], "final_answer": "25826", "answer_type": "integer", "kind": "expression", "math_text": "-698 * (-185 / 5)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -698, \"b\": -185, \"c\": 5}", "seed": "2024810213489544175", "semantic_fingerprint": "sha256:42c1e4d0a9d5fcfa89551aab4eaac0079d8985207be30b718203c3fc2c226b86", "generator_version": "3.0"}
{"id": "v3_test_id_00006213", "prompt": "What is 39 + (-78) - (0 + (-575) + 782)?", "solution_steps": ["Add: 39 + (-78) = -39", "Add: 0 + (-575) = -575", "Add: -575 + 782 = 207", "Subtract: -39 - 207 = -246"], "final_answer": "-246", "answer_type": "integer", "kind": "expression", "math_text": "39 + (-78) - (0 + (-575) + 782)", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": -78, \"c\": 0, \"d\": -575, \"e\": 782}", "seed": "8475173677091800219", "semantic_fingerprint": "sha256:98febf546e919ac482567c1eb83d2b9a10f861ceacf08bb61c69ad6c85036aa4", "generator_version": "3.0"}
{"id": "v3_test_id_00006214", "prompt": "Compute: 218 - (-37) + (79 + 9) + 84", "solution_steps": ["Subtract: 218 - (-37) = 255", "Add: 79 + 9 = 88", "Add: 255 + 88 = 343", "Add: 343 + 84 = 427"], "final_answer": "427", "answer_type": "integer", "kind": "expression", "math_text": "218 - (-37) + (79 + 9) + 84", "variable": null, "family": "expression_4op", "shape": "(+ (+ (- n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 218, \"b\": -37, \"c\": 79, \"d\": 9, \"e\": 84}", "seed": "1335756978878742862", "semantic_fingerprint": "sha256:1f9b371d7d66e7caaf89e2cad9ac849b8f55fa253f6cec16413748961d8f1235", "generator_version": "3.0"}
{"id": "v3_test_id_00006215", "prompt": "Evaluate: 2 / 398 + (-6)", "solution_steps": ["Divide: 2 / 398 = 1/199", "Add: 1/199 + (-6) = -1193/199"], "final_answer": "-1193/199", "answer_type": "rational", "kind": "expression", "math_text": "2 / 398 + (-6)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 398, \"c\": -6}", "seed": "16282997086394008317", "semantic_fingerprint": "sha256:b4ec1cdb88f17ce4c79a7c4f8e9a9aa054874bd7dba52af960149e67900f6dcb", "generator_version": "3.0"}
{"id": "v3_test_id_00006216", "prompt": "Calculate: -30 / (-1) * (-5 / 459 * (-2 + 409))", "solution_steps": ["Divide: -30 / (-1) = 30", "Divide: -5 / 459 = -5/459", "Add: -2 + 409 = 407", "Multiply: (-5/459) * 407 = -2035/459", "Multiply: 30 * (-2035/459) = -20350/153"], "final_answer": "-20350/153", "answer_type": "rational", "kind": "expression", "math_text": "-30 / (-1) * (-5 / 459 * (-2 + 409))", "variable": null, "family": "expression_5op", "shape": "(* (/ n n) (* (/ n n) (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": -1, \"c\": -5, \"d\": 459, \"e\": -2, \"f\": 409}", "seed": "17116372363267486345", "semantic_fingerprint": "sha256:31c376f34529c3086df1137ebbb526186aa7f4f7bc5dc37929d51d070185feba", "generator_version": "3.0"}
{"id": "v3_test_id_00006217", "prompt": "Evaluate: 895 * (4 - (-5)) - (-8) + (-13) / 68", "solution_steps": ["Subtract: 4 - (-5) = 9", "Multiply: 895 * 9 = 8055", "Subtract: 8055 - (-8) = 8063", "Divide: -13 / 68 = -13/68", "Add: 8063 + (-13/68) = 548271/68"], "final_answer": "548271/68", "answer_type": "rational", "kind": "expression", "math_text": "895 * (4 - (-5)) - (-8) + (-13) / 68", "variable": null, "family": "expression_5op", "shape": "(+ (- (* n (- n n)) n) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 895, \"b\": 4, \"c\": -5, \"d\": -8, \"e\": -13, \"f\": 68}", "seed": "11818685874773214442", "semantic_fingerprint": "sha256:f88fbcccfe8b95b4468d8628ae9164c10c82b53edb8049294e7b666222c95e8b", "generator_version": "3.0"}
{"id": "v3_test_id_00006218", "prompt": "Calculate: -19 * (8 / (-84)) - (-32) + 641", "solution_steps": ["Divide: 8 / (-84) = -2/21", "Multiply: -19 * (-2/21) = 38/21", "Subtract: 38/21 - (-32) = 710/21", "Add: 710/21 + 641 = 14171/21"], "final_answer": "14171/21", "answer_type": "rational", "kind": "expression", "math_text": "-19 * (8 / (-84)) - (-32) + 641", "variable": null, "family": "expression_4op", "shape": "(+ (- (* n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": 8, \"c\": -84, \"d\": -32, \"e\": 641}", "seed": "16737663963621356027", "semantic_fingerprint": "sha256:65f404a2e7b43e0a0f8cb629153e8cf52efc53128671c9e1a22676d1c9d72729", "generator_version": "3.0"}
{"id": "v3_test_id_00006219", "prompt": "Find x: -8x - 273 = x - 237", "solution_steps": ["Subtract x from both sides: -9x - 273 = -237", "Add 273 to both sides: -9x = 36", "Divide both sides by -9: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x - 273 = x - 237", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 273, \"d\": -237, \"x\": -4}", "seed": "8134029971114758447", "semantic_fingerprint": "sha256:8ffda31b964e7b09030be39639670b84279d08325c7148dc3f734be7c68afa8e", "generator_version": "3.0"}
{"id": "v3_test_id_00006220", "prompt": "Calculate: -7 - (1 - (-75))", "solution_steps": ["Subtract: 1 - (-75) = 76", "Subtract: -7 - 76 = -83"], "final_answer": "-83", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (1 - (-75))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 1, \"c\": -75}", "seed": "18443236544373585731", "semantic_fingerprint": "sha256:82d04536f64ecfa059e0de37a530179982db61c725ab0115eefab9bd7fce1611", "generator_version": "3.0"}
{"id": "v3_test_id_00006221", "prompt": "Evaluate: (113 / 9 + (-916) / (-40 + 60)) / 98", "solution_steps": ["Divide: 113 / 9 = 113/9", "Add: -40 + 60 = 20", "Divide: -916 / 20 = -229/5", "Add: 113/9 + (-229/5) = -1496/45", "Divide: (-1496/45) / 98 = -748/2205"], "final_answer": "-748/2205", "answer_type": "rational", "kind": "expression", "math_text": "(113 / 9 + (-916) / (-40 + 60)) / 98", "variable": null, "family": "expression_5op", "shape": "(/ (+ (/ n n) (/ n (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 113, \"b\": 9, \"c\": -916, \"d\": -40, \"e\": 60, \"f\": 98}", "seed": "16642666606346936451", "semantic_fingerprint": "sha256:1adef813bf51e7cef5d29987049898369206a34b4b30bdd7ad8c314096bbfceb", "generator_version": "3.0"}
{"id": "v3_test_id_00006222", "prompt": "Calculate: -8 / (-996) * (70 + (-68)) * 0", "solution_steps": ["Divide: -8 / (-996) = 2/249", "Add: 70 + (-68) = 2", "Multiply: (2/249) * 2 = 4/249", "Multiply: (4/249) * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-8 / (-996) * (70 + (-68)) * 0", "variable": null, "family": "expression_4op", "shape": "(* (* (/ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -996, \"c\": 70, \"d\": -68, \"e\": 0}", "seed": "5936050849790673015", "semantic_fingerprint": "sha256:b6b8000f8008e9668c40f2baa9b9dd9c2e03f2bab2266187ade757be3cfa823b", "generator_version": "3.0"}
{"id": "v3_test_id_00006223", "prompt": "Find x: -9(x + 72) + 31 = 4(x - 46) - 654", "solution_steps": ["Expand: -9x - 648 + 31 = 4(x - 46) - 654", "Expand: -9x - 648 + 31 = 4x - 184 - 654", "Combine constants: -9x - 617 = 4x - 184 - 654", "Combine constants: -9x - 617 = 4x - 838", "Subtract 4x from both sides: -13x - 617 = -838", "Add 617 to both sides: -13x = -221", "Divide both sides by -13: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 72) + 31 = 4(x - 46) - 654", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 72, \"c\": 31, \"d\": 4, \"e\": 46, \"g\": -654, \"x\": 17}", "seed": "17189094308450395002", "semantic_fingerprint": "sha256:41a6db5dd08e3ea59bf11f39874c250cedac40c8bb30a1c4173046a97a9743c2", "generator_version": "3.0"}
{"id": "v3_test_id_00006224", "prompt": "Solve the equation -3(x - 9) = 3(x - 55) + 84 for x.", "solution_steps": ["Expand: -3x + 27 = 3(x - 55) + 84", "Expand: -3x + 27 = 3x - 165 + 84", "Combine constants: -3x + 27 = 3x - 81", "Subtract 3x from both sides: -6x + 27 = -81", "Subtract 27 from both sides: -6x = -108", "Divide both sides by -6: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 9) = 3(x - 55) + 84", "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\": 3, \"d\": 55, \"f\": 84, \"x\": 18}", "seed": "14066802958881324837", "semantic_fingerprint": "sha256:c150ea38d23974c8003f32d07f03cf24365ef3547555e6d35bcd4c08dbfcfe12", "generator_version": "3.0"}
{"id": "v3_test_id_00006225", "prompt": "What is -64 - (99 + 34 / (-75))?", "solution_steps": ["Divide: 34 / (-75) = -34/75", "Add: 99 + (-34/75) = 7391/75", "Subtract: -64 - 7391/75 = -12191/75"], "final_answer": "-12191/75", "answer_type": "rational", "kind": "expression", "math_text": "-64 - (99 + 34 / (-75))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": 99, \"c\": 34, \"d\": -75}", "seed": "6510823013956767832", "semantic_fingerprint": "sha256:43ca2c2179fc29af150bf712e4969560f1f4fb14875d3b107ac5c70ede1e44fd", "generator_version": "3.0"}
{"id": "v3_test_id_00006226", "prompt": "What is 22 * 38 - (-55) + (-8) - (-3 - 61)?", "solution_steps": ["Multiply: 22 * 38 = 836", "Subtract: 836 - (-55) = 891", "Add: 891 + (-8) = 883", "Subtract: -3 - 61 = -64", "Subtract: 883 - (-64) = 947"], "final_answer": "947", "answer_type": "integer", "kind": "expression", "math_text": "22 * 38 - (-55) + (-8) - (-3 - 61)", "variable": null, "family": "expression_5op", "shape": "(- (+ (- (* n n) n) n) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": 38, \"c\": -55, \"d\": -8, \"e\": -3, \"f\": 61}", "seed": "9208596758749845793", "semantic_fingerprint": "sha256:eb50befa5e1a2042f3419ad7f06a279b0a874d2045141c2f11493a38961fb695", "generator_version": "3.0"}
{"id": "v3_test_id_00006227", "prompt": "Compute: 814 / (-3 + 7)", "solution_steps": ["Add: -3 + 7 = 4", "Divide: 814 / 4 = 407/2"], "final_answer": "407/2", "answer_type": "rational", "kind": "expression", "math_text": "814 / (-3 + 7)", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 814, \"b\": -3, \"c\": 7}", "seed": "13319056650541973922", "semantic_fingerprint": "sha256:b6c1c8e0e7daf783df3c3b92e3e0420184f0db5660100585985233acbe83fa6c", "generator_version": "3.0"}
{"id": "v3_test_id_00006228", "prompt": "Compute: -65 + (-49) * (589 / (8 + (-2) + 77))", "solution_steps": ["Add: 8 + (-2) = 6", "Add: 6 + 77 = 83", "Divide: 589 / 83 = 589/83", "Multiply: -49 * (589/83) = -28861/83", "Add: -65 + (-28861/83) = -34256/83"], "final_answer": "-34256/83", "answer_type": "rational", "kind": "expression", "math_text": "-65 + (-49) * (589 / (8 + (-2) + 77))", "variable": null, "family": "expression_5op", "shape": "(+ n (* n (/ n (+ (+ n n) n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -49, \"c\": 589, \"d\": 8, \"e\": -2, \"f\": 77}", "seed": "601911247089437850", "semantic_fingerprint": "sha256:fba96a3e1d7995d7975db5e010fa7d85f9ba087e995624d412179441fd809038", "generator_version": "3.0"}
{"id": "v3_test_id_00006229", "prompt": "Calculate: -18 / (4 - (-754)) / (24 + (-7))", "solution_steps": ["Subtract: 4 - (-754) = 758", "Divide: -18 / 758 = -9/379", "Add: 24 + (-7) = 17", "Divide: (-9/379) / 17 = -9/6443"], "final_answer": "-9/6443", "answer_type": "rational", "kind": "expression", "math_text": "-18 / (4 - (-754)) / (24 + (-7))", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": 4, \"c\": -754, \"d\": 24, \"e\": -7}", "seed": "7436935256658692300", "semantic_fingerprint": "sha256:722ecfa23dfb20f450728601d12244d06d822859817e9c136018a198d5e442d0", "generator_version": "3.0"}
{"id": "v3_test_id_00006230", "prompt": "Find x: 2x + 84 = 5(x - 50) - 12", "solution_steps": ["Expand: 2x + 84 = 5x - 250 - 12", "Combine constants: 2x + 84 = 5x - 262", "Subtract 5x from both sides: -3x + 84 = -262", "Subtract 84 from both sides: -3x = -346", "Divide both sides by -3: x = 346/3"], "final_answer": "346/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "2x + 84 = 5(x - 50) - 12", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 84, \"c\": 5, \"d\": 50, \"e\": 12}", "seed": "5831007225593473168", "semantic_fingerprint": "sha256:12d220923c0a8b1dca3b6edb22f64257a53cd3390d3bcbd3fdc784e124a8b6e1", "generator_version": "3.0"}
{"id": "v3_test_id_00006231", "prompt": "Evaluate: -90 / (-7) * 14", "solution_steps": ["Divide: -90 / (-7) = 90/7", "Multiply: (90/7) * 14 = 180"], "final_answer": "180", "answer_type": "integer", "kind": "expression", "math_text": "-90 / (-7) * 14", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": -7, \"c\": 14}", "seed": "4751593666007800722", "semantic_fingerprint": "sha256:67edaf0bfff221ac840bb30733297432cdb9e348fccc53d3291059ecf56fdb36", "generator_version": "3.0"}
{"id": "v3_test_id_00006232", "prompt": "Compute: -3 + 209", "solution_steps": ["Add: -3 + 209 = 206"], "final_answer": "206", "answer_type": "integer", "kind": "expression", "math_text": "-3 + 209", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 209}", "seed": "17612091582310617233", "semantic_fingerprint": "sha256:f59a7aea8bb3e0fea0ac918009d3549a239efa04d87f49017291d6d4841599e8", "generator_version": "3.0"}
{"id": "v3_test_id_00006233", "prompt": "Solve the equation -11x = x + 240 for x.", "solution_steps": ["Subtract x from both sides: -12x = 240", "Divide both sides by -12: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x = x + 240", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"c\": 240, \"x\": -20}", "seed": "13779605353264637416", "semantic_fingerprint": "sha256:405d6169b99341b77d1c724d49045e21310540ce2a7a68b2afb2bf6d1e239459", "generator_version": "3.0"}
{"id": "v3_test_id_00006234", "prompt": "What is 66 - 1?", "solution_steps": ["Subtract: 66 - 1 = 65"], "final_answer": "65", "answer_type": "integer", "kind": "expression", "math_text": "66 - 1", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 66, \"b\": 1}", "seed": "423783826054466383", "semantic_fingerprint": "sha256:92abf6d7c6492ee82b1cd46b476a55949f04ccad7a6a19a56dc3300ed41e3bdd", "generator_version": "3.0"}
{"id": "v3_test_id_00006235", "prompt": "What is -26 * 0 * (-62 * (-8) - 369)?", "solution_steps": ["Multiply: -26 * 0 = 0", "Multiply: -62 * (-8) = 496", "Subtract: 496 - 369 = 127", "Multiply: 0 * 127 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-26 * 0 * (-62 * (-8) - 369)", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (- (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -26, \"b\": 0, \"c\": -62, \"d\": -8, \"e\": 369}", "seed": "809871806416755289", "semantic_fingerprint": "sha256:363b207691bb73e0c8a4628be0e48114e83ad24db3c604a6fc9679f80fe06740", "generator_version": "3.0"}
{"id": "v3_test_id_00006236", "prompt": "What is -189 / 451 / 20?", "solution_steps": ["Divide: -189 / 451 = -189/451", "Divide: (-189/451) / 20 = -189/9020"], "final_answer": "-189/9020", "answer_type": "rational", "kind": "expression", "math_text": "-189 / 451 / 20", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -189, \"b\": 451, \"c\": 20}", "seed": "14415440961997195834", "semantic_fingerprint": "sha256:d262753968e44a90c744656c325b237805c9eda14d5c6ae1a9f170dd25cab84d", "generator_version": "3.0"}
{"id": "v3_test_id_00006237", "prompt": "Evaluate: -28 * (-77) * 121", "solution_steps": ["Multiply: -28 * (-77) = 2156", "Multiply: 2156 * 121 = 260876"], "final_answer": "260876", "answer_type": "integer", "kind": "expression", "math_text": "-28 * (-77) * 121", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": -77, \"c\": 121}", "seed": "15508333761246268615", "semantic_fingerprint": "sha256:fecfdeea0dbc6a71d4388ea78e4f062a61de6ececcceaab2cc8a5d5b9b852b08", "generator_version": "3.0"}
{"id": "v3_test_id_00006238", "prompt": "Solve the equation x = 10(x - 163) for x.", "solution_steps": ["Expand: x = 10x - 1630", "Subtract 10x from both sides: -9x = -1630", "Divide both sides by -9: x = 1630/9"], "final_answer": "1630/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 10(x - 163)", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 163}", "seed": "2309427331558408005", "semantic_fingerprint": "sha256:e87fa816966c859c1d6e4d091b9443c48359dc47eaf275c89511968ad09f8f2b", "generator_version": "3.0"}
{"id": "v3_test_id_00006239", "prompt": "Compute: 72 / (-6 / (-89) * (85 / 4 + 45))", "solution_steps": ["Divide: -6 / (-89) = 6/89", "Divide: 85 / 4 = 85/4", "Add: 85/4 + 45 = 265/4", "Multiply: (6/89) * (265/4) = 795/178", "Divide: 72 / (795/178) = 4272/265"], "final_answer": "4272/265", "answer_type": "rational", "kind": "expression", "math_text": "72 / (-6 / (-89) * (85 / 4 + 45))", "variable": null, "family": "expression_5op", "shape": "(/ n (* (/ n n) (+ (/ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 72, \"b\": -6, \"c\": -89, \"d\": 85, \"e\": 4, \"f\": 45}", "seed": "4201584857416768995", "semantic_fingerprint": "sha256:f4410ca5934fb5a4b1a2eb0f587789747b11789bbffae552c622758bf1b69697", "generator_version": "3.0"}
{"id": "v3_test_id_00006240", "prompt": "Calculate: -959 * (-924) - (1 + (-2))", "solution_steps": ["Multiply: -959 * (-924) = 886116", "Add: 1 + (-2) = -1", "Subtract: 886116 - (-1) = 886117"], "final_answer": "886117", "answer_type": "integer", "kind": "expression", "math_text": "-959 * (-924) - (1 + (-2))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -959, \"b\": -924, \"c\": 1, \"d\": -2}", "seed": "6408296090422688444", "semantic_fingerprint": "sha256:2402d6ad93cd7efa6f82336ecc2e48ef45e520c5eee0b8bacf23afb175dca0c1", "generator_version": "3.0"}
{"id": "v3_test_id_00006241", "prompt": "Calculate: 92 * 201 * (41 - 54)", "solution_steps": ["Multiply: 92 * 201 = 18492", "Subtract: 41 - 54 = -13", "Multiply: 18492 * (-13) = -240396"], "final_answer": "-240396", "answer_type": "integer", "kind": "expression", "math_text": "92 * 201 * (41 - 54)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": 201, \"c\": 41, \"d\": 54}", "seed": "17026577527807715052", "semantic_fingerprint": "sha256:e5c0138a4c05c2a37933fc8eb4335983fc8f97e90172a409dc8988e269e707a5", "generator_version": "3.0"}
{"id": "v3_test_id_00006242", "prompt": "Solve the equation x - 73 = -2(x + 35) for x.", "solution_steps": ["Expand: x - 73 = -2x - 70", "Add 2x to both sides: 3x - 73 = -70", "Add 73 to both sides: 3x = 3", "Divide both sides by 3: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 73 = -2(x + 35)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 35, \"d\": -73, \"x\": 1}", "seed": "13618048534568236435", "semantic_fingerprint": "sha256:0b95aa2d7f63bb9ed45e6ede95c9cbca08aec8b7c06614d399863b67987ecb92", "generator_version": "3.0"}
{"id": "v3_test_id_00006243", "prompt": "What value of x satisfies x - 905 = 11x - 706?", "solution_steps": ["Subtract 11x from both sides: -10x - 905 = -706", "Add 905 to both sides: -10x = 199", "Divide both sides by -10: x = -199/10"], "final_answer": "-199/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 905 = 11x - 706", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 905, \"b\": 11, \"c\": 706}", "seed": "12154170033171217120", "semantic_fingerprint": "sha256:35ccb25e0975de03f7e6cf3c520c1586f20d9e3f167594fdaf60002e27562d93", "generator_version": "3.0"}
{"id": "v3_test_id_00006244", "prompt": "Evaluate: 4 + 900", "solution_steps": ["Add: 4 + 900 = 904"], "final_answer": "904", "answer_type": "integer", "kind": "expression", "math_text": "4 + 900", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 900}", "seed": "3260308321919246884", "semantic_fingerprint": "sha256:15922a43db6dbf06bfe9624f5916e24748cb27330877fbf07873d77779bde533", "generator_version": "3.0"}
{"id": "v3_test_id_00006245", "prompt": "Evaluate: 634 + 74", "solution_steps": ["Add: 634 + 74 = 708"], "final_answer": "708", "answer_type": "integer", "kind": "expression", "math_text": "634 + 74", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 634, \"b\": 74}", "seed": "9490238790776133065", "semantic_fingerprint": "sha256:3a541a824b75a0088680010e6f1e165e96faff3c7649ed36759c1901320e8f65", "generator_version": "3.0"}
{"id": "v3_test_id_00006246", "prompt": "Find x: -11x + 6 = x + 174", "solution_steps": ["Subtract x from both sides: -12x + 6 = 174", "Subtract 6 from both sides: -12x = 168", "Divide both sides by -12: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11x + 6 = x + 174", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 6, \"d\": 174, \"x\": -14}", "seed": "12939875763064385250", "semantic_fingerprint": "sha256:32fa0f1d26725d41a5f1709257f4c835e5931702d3138deae88166012008dbec", "generator_version": "3.0"}
{"id": "v3_test_id_00006247", "prompt": "Calculate: (5 - (-11)) / (-8)", "solution_steps": ["Subtract: 5 - (-11) = 16", "Divide: 16 / (-8) = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "expression", "math_text": "(5 - (-11)) / (-8)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -11, \"c\": -8}", "seed": "3012121130142185216", "semantic_fingerprint": "sha256:aed09058e28d6242811214194fc0e3e6697e3e217fedb74bb53411e11d909213", "generator_version": "3.0"}
{"id": "v3_test_id_00006248", "prompt": "What value of x satisfies 7(x + 9) - 32 = x?", "solution_steps": ["Expand: 7x + 63 - 32 = x", "Combine constants: 7x + 31 = x", "Subtract x from both sides: 6x + 31 = 0", "Subtract 31 from both sides: 6x = -31", "Divide both sides by 6: x = -31/6"], "final_answer": "-31/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x + 9) - 32 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"c\": 32}", "seed": "12412010773195060000", "semantic_fingerprint": "sha256:8b5c52b5ecbf0b23c10e43ccfb1add45bc528e1e8ad8656a914720fde02af9fc", "generator_version": "3.0"}
{"id": "v3_test_id_00006249", "prompt": "Solve for x: x - 891 = 11(x - 91)", "solution_steps": ["Expand: x - 891 = 11x - 1001", "Subtract 11x from both sides: -10x - 891 = -1001", "Add 891 to both sides: -10x = -110", "Divide both sides by -10: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 891 = 11(x - 91)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 91, \"d\": -891, \"x\": 11}", "seed": "8408769314142985313", "semantic_fingerprint": "sha256:a28ece1ba73f2a3784a16eb798d80ce2642516d81cb53462de0f188ade96af13", "generator_version": "3.0"}
{"id": "v3_test_id_00006250", "prompt": "Compute: -9 * (85 + 9) / (-49)", "solution_steps": ["Add: 85 + 9 = 94", "Multiply: -9 * 94 = -846", "Divide: -846 / (-49) = 846/49"], "final_answer": "846/49", "answer_type": "rational", "kind": "expression", "math_text": "-9 * (85 + 9) / (-49)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 85, \"c\": 9, \"d\": -49}", "seed": "8300052411416886518", "semantic_fingerprint": "sha256:408654e715c557c694d445f21c49c8b5021ac32fe5b660319feb1fa3fd89cd04", "generator_version": "3.0"}
{"id": "v3_test_id_00006251", "prompt": "Evaluate: -328 / (7 - (-6) * (-678))", "solution_steps": ["Multiply: -6 * (-678) = 4068", "Subtract: 7 - 4068 = -4061", "Divide: -328 / (-4061) = 328/4061"], "final_answer": "328/4061", "answer_type": "rational", "kind": "expression", "math_text": "-328 / (7 - (-6) * (-678))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -328, \"b\": 7, \"c\": -6, \"d\": -678}", "seed": "5959088200869427147", "semantic_fingerprint": "sha256:cc0681f45930a81115bdf3e2f42f108bc1b08ace07199605e855e4b10f46759d", "generator_version": "3.0"}
{"id": "v3_test_id_00006252", "prompt": "What value of x satisfies 2(x - 9) = x - 12?", "solution_steps": ["Expand: 2x - 18 = x - 12", "Subtract x from both sides: x - 18 = -12", "Add 18 to both sides: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 9) = x - 12", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 9, \"d\": -12, \"x\": 6}", "seed": "14881388096785966832", "semantic_fingerprint": "sha256:07d2abded8016f8aa1a62fef7e5bb344e332b644652eece5de650967e23a5475", "generator_version": "3.0"}
{"id": "v3_test_id_00006253", "prompt": "Evaluate: 0 / 33", "solution_steps": ["Divide: 0 / 33 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / 33", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 33}", "seed": "1531386030662236143", "semantic_fingerprint": "sha256:3a0722fcdf047dc8d90f4558c270e96676a9e566cfeae6ed6cee697c39ff34e5", "generator_version": "3.0"}
{"id": "v3_test_id_00006254", "prompt": "Solve the equation 4(x - 3) = -6(x + 7) - 73 for x.", "solution_steps": ["Expand: 4x - 12 = -6(x + 7) - 73", "Expand: 4x - 12 = -6x - 42 - 73", "Combine constants: 4x - 12 = -6x - 115", "Add 6x to both sides: 10x - 12 = -115", "Add 12 to both sides: 10x = -103", "Divide both sides by 10: x = -103/10"], "final_answer": "-103/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 3) = -6(x + 7) - 73", "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\": -6, \"d\": 7, \"e\": 73}", "seed": "2452757019322212185", "semantic_fingerprint": "sha256:012b4417279355a05895bb5911d038efb1787786b8b3ca1c3e6c8a67118135ba", "generator_version": "3.0"}
{"id": "v3_test_id_00006255", "prompt": "Find x: x = -4(x - 96) - 284", "solution_steps": ["Expand: x = -4x + 384 - 284", "Combine constants: x = -4x + 100", "Add 4x to both sides: 5x = 100", "Divide both sides by 5: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -4(x - 96) - 284", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 96, \"d\": -284, \"x\": 20}", "seed": "17924141622049480645", "semantic_fingerprint": "sha256:e480365854c2f5d7ecc05684ef670bba5d964e014d879afc92b38bc3a3fbcc17", "generator_version": "3.0"}
{"id": "v3_test_id_00006256", "prompt": "What is 8 - (-22)?", "solution_steps": ["Subtract: 8 - (-22) = 30"], "final_answer": "30", "answer_type": "integer", "kind": "expression", "math_text": "8 - (-22)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -22}", "seed": "8440654469812306979", "semantic_fingerprint": "sha256:c19b09d0ae4bc613fc2e1b1edd1e3df81ab4b918bf913fd72cb66fd5dc77649d", "generator_version": "3.0"}
{"id": "v3_test_id_00006257", "prompt": "Calculate: -98 * (-4)", "solution_steps": ["Multiply: -98 * (-4) = 392"], "final_answer": "392", "answer_type": "integer", "kind": "expression", "math_text": "-98 * (-4)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -98, \"b\": -4}", "seed": "11958944796291779272", "semantic_fingerprint": "sha256:6d7892e8e98207a8cffa2ae532ef2039cbbbc6280bc4a39b7d9bcec5c3d51e6d", "generator_version": "3.0"}
{"id": "v3_test_id_00006258", "prompt": "Find x: 10(x + 486) = 4(x + 754) - 35", "solution_steps": ["Expand: 10x + 4860 = 4(x + 754) - 35", "Expand: 10x + 4860 = 4x + 3016 - 35", "Combine constants: 10x + 4860 = 4x + 2981", "Subtract 4x from both sides: 6x + 4860 = 2981", "Subtract 4860 from both sides: 6x = -1879", "Divide both sides by 6: x = -1879/6"], "final_answer": "-1879/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 486) = 4(x + 754) - 35", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 486, \"c\": 4, \"d\": 754, \"e\": 35}", "seed": "15557061590088597633", "semantic_fingerprint": "sha256:aa8acf4652658e5ee1f165a484811d7a9622ece996de7d1c1ed62c57f023f96a", "generator_version": "3.0"}
{"id": "v3_test_id_00006259", "prompt": "Calculate: 62 - (-49) - 67 - 8", "solution_steps": ["Subtract: 62 - (-49) = 111", "Subtract: 111 - 67 = 44", "Subtract: 44 - 8 = 36"], "final_answer": "36", "answer_type": "integer", "kind": "expression", "math_text": "62 - (-49) - 67 - 8", "variable": null, "family": "expression_3op", "shape": "(- (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": -49, \"c\": 67, \"d\": 8}", "seed": "5155676146112498356", "semantic_fingerprint": "sha256:6af38c44f60aeb0718691aec9fc2ccabb4aec97e71a3b7b27d8beecf25da29e4", "generator_version": "3.0"}
{"id": "v3_test_id_00006260", "prompt": "Solve for x: -9(x - 273) = -4(x + 7)", "solution_steps": ["Expand: -9x + 2457 = -4(x + 7)", "Expand: -9x + 2457 = -4x - 28", "Add 4x to both sides: -5x + 2457 = -28", "Subtract 2457 from both sides: -5x = -2485", "Divide both sides by -5: x = 497"], "final_answer": "497", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 273) = -4(x + 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 273, \"c\": -4, \"d\": 7}", "seed": "12521367913929302973", "semantic_fingerprint": "sha256:4d5f138f9886cad76ae6630a8f34614928e4187b38edfbf135f75f6064266632", "generator_version": "3.0"}
{"id": "v3_test_id_00006261", "prompt": "Calculate: -45 - (-3) - (-4)", "solution_steps": ["Subtract: -45 - (-3) = -42", "Subtract: -42 - (-4) = -38"], "final_answer": "-38", "answer_type": "integer", "kind": "expression", "math_text": "-45 - (-3) - (-4)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": -3, \"c\": -4}", "seed": "9655485983736274949", "semantic_fingerprint": "sha256:e330379d87a58a662e136b3b0c1a5a935cd24a3b367b0fe9f0ebf94b05f1f4d5", "generator_version": "3.0"}
{"id": "v3_test_id_00006262", "prompt": "Evaluate: -82 - (-5) / (-180 + 6)", "solution_steps": ["Add: -180 + 6 = -174", "Divide: -5 / (-174) = 5/174", "Subtract: -82 - 5/174 = -14273/174"], "final_answer": "-14273/174", "answer_type": "rational", "kind": "expression", "math_text": "-82 - (-5) / (-180 + 6)", "variable": null, "family": "expression_3op", "shape": "(- n (/ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -82, \"b\": -5, \"c\": -180, \"d\": 6}", "seed": "6977816071697722411", "semantic_fingerprint": "sha256:d1c0cad7202936d0f15ff3da9d3f054b059b854fa9ff9605ebd2710b25d8fe90", "generator_version": "3.0"}
{"id": "v3_test_id_00006263", "prompt": "Calculate: 4 * (-815) - (-7 - (-230) / 98 - 5)", "solution_steps": ["Multiply: 4 * (-815) = -3260", "Divide: -230 / 98 = -115/49", "Subtract: -7 - (-115/49) = -228/49", "Subtract: -228/49 - 5 = -473/49", "Subtract: -3260 - (-473/49) = -159267/49"], "final_answer": "-159267/49", "answer_type": "rational", "kind": "expression", "math_text": "4 * (-815) - (-7 - (-230) / 98 - 5)", "variable": null, "family": "expression_5op", "shape": "(- (* n n) (- (- n (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -815, \"c\": -7, \"d\": -230, \"e\": 98, \"f\": 5}", "seed": "2946882006982503139", "semantic_fingerprint": "sha256:54963af600bbb18e3c3e1bcbe034536d8aa82f9a579b28b676e32760a0d54eee", "generator_version": "3.0"}
{"id": "v3_test_id_00006264", "prompt": "Compute: -448 - (-1 - (-5))", "solution_steps": ["Subtract: -1 - (-5) = 4", "Subtract: -448 - 4 = -452"], "final_answer": "-452", "answer_type": "integer", "kind": "expression", "math_text": "-448 - (-1 - (-5))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -448, \"b\": -1, \"c\": -5}", "seed": "7992026283204792322", "semantic_fingerprint": "sha256:650602a06b18c094085d54b6f06cf41eb1af2e5aa6eb2a220a7eaa94a57b1f9f", "generator_version": "3.0"}
{"id": "v3_test_id_00006265", "prompt": "Solve the equation 8(x + 71) = 720 for x.", "solution_steps": ["Expand: 8x + 568 = 720", "Subtract 568 from both sides: 8x = 152", "Divide both sides by 8: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 71) = 720", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 71, \"d\": 720, \"x\": 19}", "seed": "17186429551541644830", "semantic_fingerprint": "sha256:fb2e131abf20fb76fa96ab088db5db13cb8891d2dbf03ec59068052f4acee6ba", "generator_version": "3.0"}
{"id": "v3_test_id_00006266", "prompt": "Calculate: 71 - (-4) * (-4 * ((-961 - 7) / (-60)))", "solution_steps": ["Subtract: -961 - 7 = -968", "Divide: -968 / (-60) = 242/15", "Multiply: -4 * (242/15) = -968/15", "Multiply: -4 * (-968/15) = 3872/15", "Subtract: 71 - 3872/15 = -2807/15"], "final_answer": "-2807/15", "answer_type": "rational", "kind": "expression", "math_text": "71 - (-4) * (-4 * ((-961 - 7) / (-60)))", "variable": null, "family": "expression_5op", "shape": "(- n (* n (* n (/ (- n n) n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": -4, \"c\": -4, \"d\": -961, \"e\": 7, \"f\": -60}", "seed": "16510768089232230044", "semantic_fingerprint": "sha256:5df6b7496c1e6a3081a048c9f6471fc099df28926c4b19fdbcc42855ba156fbf", "generator_version": "3.0"}
{"id": "v3_test_id_00006267", "prompt": "Evaluate: 571 + (0 - (-5))", "solution_steps": ["Subtract: 0 - (-5) = 5", "Add: 571 + 5 = 576"], "final_answer": "576", "answer_type": "integer", "kind": "expression", "math_text": "571 + (0 - (-5))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 571, \"b\": 0, \"c\": -5}", "seed": "13072827763363810481", "semantic_fingerprint": "sha256:4ff0c1040560bfcf42365aad6a9e78932d1dadefa826eb6b7e95a7739fb69910", "generator_version": "3.0"}
{"id": "v3_test_id_00006268", "prompt": "Compute: -49 + (-52) * (-51) / 8", "solution_steps": ["Multiply: -52 * (-51) = 2652", "Divide: 2652 / 8 = 663/2", "Add: -49 + 663/2 = 565/2"], "final_answer": "565/2", "answer_type": "rational", "kind": "expression", "math_text": "-49 + (-52) * (-51) / 8", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -49, \"b\": -52, \"c\": -51, \"d\": 8}", "seed": "16885288730969372502", "semantic_fingerprint": "sha256:a9adec2dccceeedd1e47c582caebb55b0a2d50c44f8e666594ec7e9f6293eec4", "generator_version": "3.0"}
{"id": "v3_test_id_00006269", "prompt": "What value of x satisfies 5x + 24 = x?", "solution_steps": ["Subtract x from both sides: 4x + 24 = 0", "Subtract 24 from both sides: 4x = -24", "Divide both sides by 4: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 24 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"c\": 24, \"x\": -6}", "seed": "6834401718287576703", "semantic_fingerprint": "sha256:f717c649809f744e6b0ea565e3a459dd0acf29bf78d1aeec22fa3dc1b9d64c27", "generator_version": "3.0"}
{"id": "v3_test_id_00006270", "prompt": "What value of x satisfies 2(x - 57) - 151 = x - 6?", "solution_steps": ["Expand: 2x - 114 - 151 = x - 6", "Combine constants: 2x - 265 = x - 6", "Subtract x from both sides: x - 265 = -6", "Add 265 to both sides: x = 259"], "final_answer": "259", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 57) - 151 = x - 6", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 57, \"c\": 151, \"d\": 6}", "seed": "9733873676554811437", "semantic_fingerprint": "sha256:bbe55e74c662d5c067b82df6d9bb6792b4b7487fb152117ef02abf8951472b3e", "generator_version": "3.0"}
{"id": "v3_test_id_00006271", "prompt": "Compute: 8 + (-78 + 74)", "solution_steps": ["Add: -78 + 74 = -4", "Add: 8 + (-4) = 4"], "final_answer": "4", "answer_type": "integer", "kind": "expression", "math_text": "8 + (-78 + 74)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -78, \"c\": 74}", "seed": "5945188199063932211", "semantic_fingerprint": "sha256:8777eceae351634bd3b209dcd8ce3d411dfcad61022c3f463afb8103e353dbd3", "generator_version": "3.0"}
{"id": "v3_test_id_00006272", "prompt": "Evaluate: -29 + (-213) * (38 + 446)", "solution_steps": ["Add: 38 + 446 = 484", "Multiply: -213 * 484 = -103092", "Add: -29 + (-103092) = -103121"], "final_answer": "-103121", "answer_type": "integer", "kind": "expression", "math_text": "-29 + (-213) * (38 + 446)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": -213, \"c\": 38, \"d\": 446}", "seed": "10876479706255367150", "semantic_fingerprint": "sha256:a185027b654a82a01bbeeb385f00849da270448264721ab8d454c388e4b9581d", "generator_version": "3.0"}
{"id": "v3_test_id_00006273", "prompt": "Evaluate: 437 * 0 / (-1)", "solution_steps": ["Multiply: 437 * 0 = 0", "Divide: 0 / (-1) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "437 * 0 / (-1)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 437, \"b\": 0, \"c\": -1}", "seed": "13354238271448818759", "semantic_fingerprint": "sha256:bcab414c0d2be95e3442ccc7cc12c9735ecd872f6e800a8961c14ebb1f2814ee", "generator_version": "3.0"}
{"id": "v3_test_id_00006274", "prompt": "Compute: -684 * 53", "solution_steps": ["Multiply: -684 * 53 = -36252"], "final_answer": "-36252", "answer_type": "integer", "kind": "expression", "math_text": "-684 * 53", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -684, \"b\": 53}", "seed": "4433739269126311359", "semantic_fingerprint": "sha256:2a43121a6de683b3744d7362ef9d51bc40d3e08e4b9d4900565b71b54b902c7b", "generator_version": "3.0"}
{"id": "v3_test_id_00006275", "prompt": "What value of x satisfies 4(x - 40) - 96 = -9(x + 53) + 811?", "solution_steps": ["Expand: 4x - 160 - 96 = -9(x + 53) + 811", "Expand: 4x - 160 - 96 = -9x - 477 + 811", "Combine constants: 4x - 256 = -9x - 477 + 811", "Combine constants: 4x - 256 = -9x + 334", "Add 9x to both sides: 13x - 256 = 334", "Add 256 to both sides: 13x = 590", "Divide both sides by 13: x = 590/13"], "final_answer": "590/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 40) - 96 = -9(x + 53) + 811", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 40, \"c\": 96, \"d\": -9, \"e\": 53, \"f\": 811}", "seed": "8656256269851944746", "semantic_fingerprint": "sha256:e0762ca65a60747a004cb23b05cbd420590bd482f3b5dd036b35adaed1b89d21", "generator_version": "3.0"}
{"id": "v3_test_id_00006276", "prompt": "What value of x satisfies x - 70 = 3x - 52?", "solution_steps": ["Subtract 3x from both sides: -2x - 70 = -52", "Add 70 to both sides: -2x = 18", "Divide both sides by -2: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 70 = 3x - 52", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": 3, \"d\": -52, \"x\": -9}", "seed": "2508808527685914368", "semantic_fingerprint": "sha256:78ebb8eb23ec99ea60d1feb52f9bbac2730ab393b60afebf580357da0d772dbd", "generator_version": "3.0"}
{"id": "v3_test_id_00006277", "prompt": "What is 0 / (35 / (-567))?", "solution_steps": ["Divide: 35 / (-567) = -5/81", "Divide: 0 / (-5/81) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (35 / (-567))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 35, \"c\": -567}", "seed": "7872810539315605783", "semantic_fingerprint": "sha256:82891e4af366fe23168c40950f38df8591c816b316f5cdaf1fcba5b5ccee27b1", "generator_version": "3.0"}
{"id": "v3_test_id_00006278", "prompt": "Solve the equation x - 481 = -491 for x.", "solution_steps": ["Add 481 to both sides: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 481 = -491", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 481, \"c\": -491, \"x\": -10}", "seed": "1503127909304344225", "semantic_fingerprint": "sha256:03832b684dac602b07484e7009ddbad94eb75d4e1d16dab4439cc2de0fc2a254", "generator_version": "3.0"}
{"id": "v3_test_id_00006279", "prompt": "What value of x satisfies -9(x + 9) + 315 = 3(x + 6)?", "solution_steps": ["Expand: -9x - 81 + 315 = 3(x + 6)", "Expand: -9x - 81 + 315 = 3x + 18", "Combine constants: -9x + 234 = 3x + 18", "Subtract 3x from both sides: -12x + 234 = 18", "Subtract 234 from both sides: -12x = -216", "Divide both sides by -12: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 9) + 315 = 3(x + 6)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 9, \"c\": 3, \"d\": 6, \"f\": 315, \"x\": 18}", "seed": "4150245899582671441", "semantic_fingerprint": "sha256:7b529286f7fb17b0f6f43ba5abeb5f18ef4b4b3808f84806b73b0faf56606fd5", "generator_version": "3.0"}
{"id": "v3_test_id_00006280", "prompt": "What is 73 + (-962 * 5 + (-77) / 4)?", "solution_steps": ["Multiply: -962 * 5 = -4810", "Divide: -77 / 4 = -77/4", "Add: -4810 + (-77/4) = -19317/4", "Add: 73 + (-19317/4) = -19025/4"], "final_answer": "-19025/4", "answer_type": "rational", "kind": "expression", "math_text": "73 + (-962 * 5 + (-77) / 4)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ (* n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": -962, \"c\": 5, \"d\": -77, \"e\": 4}", "seed": "73394206939552701", "semantic_fingerprint": "sha256:aa38718d8a8013fa6800b9553f22cd6a5d3cac767fa77aee20151a1d4f601040", "generator_version": "3.0"}
{"id": "v3_test_id_00006281", "prompt": "Solve for x: x = 3(x + 46) + 848", "solution_steps": ["Expand: x = 3x + 138 + 848", "Combine constants: x = 3x + 986", "Subtract 3x from both sides: -2x = 986", "Divide both sides by -2: x = -493"], "final_answer": "-493", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 3(x + 46) + 848", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 46, \"c\": 848}", "seed": "10485054324663798779", "semantic_fingerprint": "sha256:dd1d43d86087a3f32806ce5c31ae894051c5592bebbf591796c04e66915a8be5", "generator_version": "3.0"}
{"id": "v3_test_id_00006282", "prompt": "Evaluate: 2 / 755", "solution_steps": ["Divide: 2 / 755 = 2/755"], "final_answer": "2/755", "answer_type": "rational", "kind": "expression", "math_text": "2 / 755", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 755}", "seed": "5805800455504847628", "semantic_fingerprint": "sha256:71fd8e117dde7ec6112ece1fcb054cde1f4ebed4b824133a494800a02e55efd1", "generator_version": "3.0"}
{"id": "v3_test_id_00006283", "prompt": "Calculate: -19 * (229 * (-11) + (-527 - (-68) + (-82)))", "solution_steps": ["Multiply: 229 * (-11) = -2519", "Subtract: -527 - (-68) = -459", "Add: -459 + (-82) = -541", "Add: -2519 + (-541) = -3060", "Multiply: -19 * (-3060) = 58140"], "final_answer": "58140", "answer_type": "integer", "kind": "expression", "math_text": "-19 * (229 * (-11) + (-527 - (-68) + (-82)))", "variable": null, "family": "expression_5op", "shape": "(* n (+ (* n n) (+ (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -19, \"b\": 229, \"c\": -11, \"d\": -527, \"e\": -68, \"f\": -82}", "seed": "9674529940608069383", "semantic_fingerprint": "sha256:673799996bc92430f65d6b9302d80be12901aa7dac93c1776647bda528a4b56a", "generator_version": "3.0"}
{"id": "v3_test_id_00006284", "prompt": "Calculate: 85 - (6 - (-29 - 47 * 5))", "solution_steps": ["Multiply: 47 * 5 = 235", "Subtract: -29 - 235 = -264", "Subtract: 6 - (-264) = 270", "Subtract: 85 - 270 = -185"], "final_answer": "-185", "answer_type": "integer", "kind": "expression", "math_text": "85 - (6 - (-29 - 47 * 5))", "variable": null, "family": "expression_4op", "shape": "(- n (- n (- n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": 6, \"c\": -29, \"d\": 47, \"e\": 5}", "seed": "17307830396799049078", "semantic_fingerprint": "sha256:3b7886410becdb3e256863031ea80f282a999873eeea57ed5cf53574a3bea527", "generator_version": "3.0"}
{"id": "v3_test_id_00006285", "prompt": "What is (18 + 973) / (-24)?", "solution_steps": ["Add: 18 + 973 = 991", "Divide: 991 / (-24) = -991/24"], "final_answer": "-991/24", "answer_type": "rational", "kind": "expression", "math_text": "(18 + 973) / (-24)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": 973, \"c\": -24}", "seed": "18096035761902693206", "semantic_fingerprint": "sha256:ca592121a07ee37f09e5c34951a488c62ec57423e6df5f60b0386ce98129c352", "generator_version": "3.0"}
{"id": "v3_test_id_00006286", "prompt": "Compute: 76 + 0 * 73", "solution_steps": ["Multiply: 0 * 73 = 0", "Add: 76 + 0 = 76"], "final_answer": "76", "answer_type": "integer", "kind": "expression", "math_text": "76 + 0 * 73", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 0, \"c\": 73}", "seed": "7919402832980967762", "semantic_fingerprint": "sha256:811b70433c5bb93402e0be239de8d2646ac7fee200840a84e4522a08db053667", "generator_version": "3.0"}
{"id": "v3_test_id_00006287", "prompt": "Compute: -70 * (47 * (-25))", "solution_steps": ["Multiply: 47 * (-25) = -1175", "Multiply: -70 * (-1175) = 82250"], "final_answer": "82250", "answer_type": "integer", "kind": "expression", "math_text": "-70 * (47 * (-25))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -70, \"b\": 47, \"c\": -25}", "seed": "5085073644995870839", "semantic_fingerprint": "sha256:8f58a6be83d26f018fab28ba6ff2007d43095131adf74dc72395b80bcb9dca6d", "generator_version": "3.0"}
{"id": "v3_test_id_00006288", "prompt": "Solve for x: 4x + 30 = 12x", "solution_steps": ["Subtract 12x from both sides: -8x + 30 = 0", "Subtract 30 from both sides: -8x = -30", "Divide both sides by -8: x = 15/4"], "final_answer": "15/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "4x + 30 = 12x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 30, \"c\": 12}", "seed": "10317533331976068698", "semantic_fingerprint": "sha256:80b2212b3db631322df145750a141fed9cb80804545cf7e5d0374561fda888a9", "generator_version": "3.0"}
{"id": "v3_test_id_00006289", "prompt": "Find x: -12(x + 220) = x", "solution_steps": ["Expand: -12x - 2640 = x", "Subtract x from both sides: -13x - 2640 = 0", "Add 2640 to both sides: -13x = 2640", "Divide both sides by -13: x = -2640/13"], "final_answer": "-2640/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "-12(x + 220) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 220}", "seed": "9799795462329465218", "semantic_fingerprint": "sha256:4de733e5aae7f7443a16f35de9d404b90cfdfd65eb14f8d61ccf405474dc5899", "generator_version": "3.0"}
{"id": "v3_test_id_00006290", "prompt": "Solve the equation 8(x - 231) + 4 = 9(x - 9) + 6 for x.", "solution_steps": ["Expand: 8x - 1848 + 4 = 9(x - 9) + 6", "Expand: 8x - 1848 + 4 = 9x - 81 + 6", "Combine constants: 8x - 1844 = 9x - 81 + 6", "Combine constants: 8x - 1844 = 9x - 75", "Subtract 9x from both sides: -x - 1844 = -75", "Add 1844 to both sides: -x = 1769", "Divide both sides by -1: x = -1769"], "final_answer": "-1769", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 231) + 4 = 9(x - 9) + 6", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 231, \"c\": 4, \"d\": 9, \"e\": 9, \"f\": 6}", "seed": "8386039970875608120", "semantic_fingerprint": "sha256:3d747fb7c19701edd4d4a208b8d94d38eb6915be36909bc1ce84447ace715836", "generator_version": "3.0"}
{"id": "v3_test_id_00006291", "prompt": "Solve for x: 8(x - 9) = 10x", "solution_steps": ["Expand: 8x - 72 = 10x", "Subtract 10x from both sides: -2x - 72 = 0", "Add 72 to both sides: -2x = 72", "Divide both sides by -2: x = -36"], "final_answer": "-36", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 9) = 10x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 9, \"c\": 10}", "seed": "1265685751194490229", "semantic_fingerprint": "sha256:b6020f2b5cbb8769b36f13856383e89586d716e369d01ec6c524a35af3a4ecff", "generator_version": "3.0"}
{"id": "v3_test_id_00006292", "prompt": "What value of x satisfies x - 752 = 2x?", "solution_steps": ["Subtract 2x from both sides: -x - 752 = 0", "Add 752 to both sides: -x = 752", "Divide both sides by -1: x = -752"], "final_answer": "-752", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 752 = 2x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 752, \"b\": 2}", "seed": "11978132330572688452", "semantic_fingerprint": "sha256:921a2a7776464f34b747699579c3a424966fc8e68aade3c318379bc302e5beaf", "generator_version": "3.0"}
{"id": "v3_test_id_00006293", "prompt": "Calculate: (-74 - (-9)) * 30 + 1", "solution_steps": ["Subtract: -74 - (-9) = -65", "Multiply: -65 * 30 = -1950", "Add: -1950 + 1 = -1949"], "final_answer": "-1949", "answer_type": "integer", "kind": "expression", "math_text": "(-74 - (-9)) * 30 + 1", "variable": null, "family": "expression_3op", "shape": "(+ (* (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -74, \"b\": -9, \"c\": 30, \"d\": 1}", "seed": "5767596567102698133", "semantic_fingerprint": "sha256:4785694100ec89818992e5f61664b9a9ad73c7b02700bcc78481680a5ee71aa5", "generator_version": "3.0"}
{"id": "v3_test_id_00006294", "prompt": "What is 4 * (-4 / 67 + (-250 - 80)) - 49?", "solution_steps": ["Divide: -4 / 67 = -4/67", "Subtract: -250 - 80 = -330", "Add: -4/67 + (-330) = -22114/67", "Multiply: 4 * (-22114/67) = -88456/67", "Subtract: -88456/67 - 49 = -91739/67"], "final_answer": "-91739/67", "answer_type": "rational", "kind": "expression", "math_text": "4 * (-4 / 67 + (-250 - 80)) - 49", "variable": null, "family": "expression_5op", "shape": "(- (* n (+ (/ n n) (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -4, \"c\": 67, \"d\": -250, \"e\": 80, \"f\": 49}", "seed": "3859627349977066896", "semantic_fingerprint": "sha256:f504a6e8da09b1b29567eeb7e2a4a811f5ccd7cf84708a917e72fb1d83b7a523", "generator_version": "3.0"}
{"id": "v3_test_id_00006295", "prompt": "Evaluate: -868 * 98 - (-1)", "solution_steps": ["Multiply: -868 * 98 = -85064", "Subtract: -85064 - (-1) = -85063"], "final_answer": "-85063", "answer_type": "integer", "kind": "expression", "math_text": "-868 * 98 - (-1)", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -868, \"b\": 98, \"c\": -1}", "seed": "6547717438132337722", "semantic_fingerprint": "sha256:239936edeecead280142b059c2862c9c4d9f545f93df4f385d614ad92f40d0c6", "generator_version": "3.0"}
{"id": "v3_test_id_00006296", "prompt": "Calculate: -699 + 89", "solution_steps": ["Add: -699 + 89 = -610"], "final_answer": "-610", "answer_type": "integer", "kind": "expression", "math_text": "-699 + 89", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -699, \"b\": 89}", "seed": "5233618869768749934", "semantic_fingerprint": "sha256:0b083e63bb0c91c58f83204d218eedacccef046f31729d7a985a9e97703e7f04", "generator_version": "3.0"}
{"id": "v3_test_id_00006297", "prompt": "Evaluate: -6 / (-9 / 1)", "solution_steps": ["Divide: -9 / 1 = -9", "Divide: -6 / (-9) = 2/3"], "final_answer": "2/3", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-9 / 1)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -9, \"c\": 1}", "seed": "4691379524282174235", "semantic_fingerprint": "sha256:6bd8a77b203cc2c1db2d0fca0c07f5dd5d1d8ac4a7cd2723fef24f0226a9a261", "generator_version": "3.0"}
{"id": "v3_test_id_00006298", "prompt": "What is (-57 - 24 + (-3)) / (-376)?", "solution_steps": ["Subtract: -57 - 24 = -81", "Add: -81 + (-3) = -84", "Divide: -84 / (-376) = 21/94"], "final_answer": "21/94", "answer_type": "rational", "kind": "expression", "math_text": "(-57 - 24 + (-3)) / (-376)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -57, \"b\": 24, \"c\": -3, \"d\": -376}", "seed": "7911526382490221319", "semantic_fingerprint": "sha256:7c613e01b00079c68ec2ff5a4ddb57aa3f25d51ea5141a5fea2b24ee29097f93", "generator_version": "3.0"}
{"id": "v3_test_id_00006299", "prompt": "What value of x satisfies 2(x - 40) = 3x?", "solution_steps": ["Expand: 2x - 80 = 3x", "Subtract 3x from both sides: -x - 80 = 0", "Add 80 to both sides: -x = 80", "Divide both sides by -1: x = -80"], "final_answer": "-80", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 40) = 3x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 40, \"c\": 3}", "seed": "4962752979426825772", "semantic_fingerprint": "sha256:5706d12b51304408e7ded42b8db38d31e1c075909866728fd996ffe2c2339144", "generator_version": "3.0"}
{"id": "v3_test_id_00006300", "prompt": "Calculate: -78 / (-6 - (-4)) * 25", "solution_steps": ["Subtract: -6 - (-4) = -2", "Divide: -78 / (-2) = 39", "Multiply: 39 * 25 = 975"], "final_answer": "975", "answer_type": "integer", "kind": "expression", "math_text": "-78 / (-6 - (-4)) * 25", "variable": null, "family": "expression_3op", "shape": "(* (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -78, \"b\": -6, \"c\": -4, \"d\": 25}", "seed": "14572472369120200217", "semantic_fingerprint": "sha256:b3d06d20b36f8425fb101419f0f1638c2c8c740ef4d58769965c2da199bc6692", "generator_version": "3.0"}
{"id": "v3_test_id_00006301", "prompt": "Calculate: -41 - (-99) * (-4) * 4", "solution_steps": ["Multiply: -99 * (-4) = 396", "Multiply: 396 * 4 = 1584", "Subtract: -41 - 1584 = -1625"], "final_answer": "-1625", "answer_type": "integer", "kind": "expression", "math_text": "-41 - (-99) * (-4) * 4", "variable": null, "family": "expression_3op", "shape": "(- n (* (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": -99, \"c\": -4, \"d\": 4}", "seed": "8689953392157362116", "semantic_fingerprint": "sha256:5fa0525fd0f27d15b65556f9ff23eeccd5f1eac24613af5cf4caf1c3073ea8f2", "generator_version": "3.0"}
{"id": "v3_test_id_00006302", "prompt": "What value of x satisfies -9(x + 48) - 5 = -7(x + 37) - 210?", "solution_steps": ["Expand: -9x - 432 - 5 = -7(x + 37) - 210", "Expand: -9x - 432 - 5 = -7x - 259 - 210", "Combine constants: -9x - 437 = -7x - 259 - 210", "Combine constants: -9x - 437 = -7x - 469", "Add 7x to both sides: -2x - 437 = -469", "Add 437 to both sides: -2x = -32", "Divide both sides by -2: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x + 48) - 5 = -7(x + 37) - 210", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 48, \"c\": 5, \"d\": -7, \"e\": 37, \"g\": -210, \"x\": 16}", "seed": "456793135268314721", "semantic_fingerprint": "sha256:7bdef89a701433cb0a0d51ddade57a8e8459cc809d5fa2f1da6ae15a2f91081d", "generator_version": "3.0"}
{"id": "v3_test_id_00006303", "prompt": "Compute: 67 / (-513) + (5 + 0)", "solution_steps": ["Divide: 67 / (-513) = -67/513", "Add: 5 + 0 = 5", "Add: -67/513 + 5 = 2498/513"], "final_answer": "2498/513", "answer_type": "rational", "kind": "expression", "math_text": "67 / (-513) + (5 + 0)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": -513, \"c\": 5, \"d\": 0}", "seed": "6859222226492624021", "semantic_fingerprint": "sha256:600cc607d38782b99b59cc020641e247cd751f3c07963fc5ee68ff94c3ed507e", "generator_version": "3.0"}
{"id": "v3_test_id_00006304", "prompt": "What is -3 * (-7) * (-145) - (97 / 287 + (-80))?", "solution_steps": ["Multiply: -3 * (-7) = 21", "Multiply: 21 * (-145) = -3045", "Divide: 97 / 287 = 97/287", "Add: 97/287 + (-80) = -22863/287", "Subtract: -3045 - (-22863/287) = -851052/287"], "final_answer": "-851052/287", "answer_type": "rational", "kind": "expression", "math_text": "-3 * (-7) * (-145) - (97 / 287 + (-80))", "variable": null, "family": "expression_5op", "shape": "(- (* (* n n) n) (+ (/ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -7, \"c\": -145, \"d\": 97, \"e\": 287, \"f\": -80}", "seed": "8574107672192954606", "semantic_fingerprint": "sha256:b0f46a59577262aa4395b459f9bd7dcc7192ef8d92ee4f820dfe2b1525a996f7", "generator_version": "3.0"}
{"id": "v3_test_id_00006305", "prompt": "Calculate: (-65 + 66) * (-8)", "solution_steps": ["Add: -65 + 66 = 1", "Multiply: 1 * (-8) = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "expression", "math_text": "(-65 + 66) * (-8)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": 66, \"c\": -8}", "seed": "2238327587379212411", "semantic_fingerprint": "sha256:216584913857125ff2f3dd22710fd666efb98e724736c66347bfd6f0554e92a5", "generator_version": "3.0"}
{"id": "v3_test_id_00006306", "prompt": "Find x: -6(x + 9) - 327 = -8(x + 83) + 313", "solution_steps": ["Expand: -6x - 54 - 327 = -8(x + 83) + 313", "Expand: -6x - 54 - 327 = -8x - 664 + 313", "Combine constants: -6x - 381 = -8x - 664 + 313", "Combine constants: -6x - 381 = -8x - 351", "Add 8x to both sides: 2x - 381 = -351", "Add 381 to both sides: 2x = 30", "Divide both sides by 2: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6(x + 9) - 327 = -8(x + 83) + 313", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 9, \"c\": 327, \"d\": -8, \"e\": 83, \"g\": 313, \"x\": 15}", "seed": "15165238383290068569", "semantic_fingerprint": "sha256:c85b85e35a077c6df02789808718fdbd268cd9f9eeb0ba99694f87e1ec04ba8f", "generator_version": "3.0"}
{"id": "v3_test_id_00006307", "prompt": "What value of x satisfies 4(x - 11) + 41 = 9x - 53?", "solution_steps": ["Expand: 4x - 44 + 41 = 9x - 53", "Combine constants: 4x - 3 = 9x - 53", "Subtract 9x from both sides: -5x - 3 = -53", "Add 3 to both sides: -5x = -50", "Divide both sides by -5: x = 10"], "final_answer": "10", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x - 11) + 41 = 9x - 53", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 11, \"c\": 41, \"d\": 9, \"f\": -53, \"x\": 10}", "seed": "16351364241358327963", "semantic_fingerprint": "sha256:0ef5fc097f0ce3a68c40da572a9a0fa96ac6b6a87dafd10c8b18b318bd2c03f0", "generator_version": "3.0"}
{"id": "v3_test_id_00006308", "prompt": "What is -3 * (-9)?", "solution_steps": ["Multiply: -3 * (-9) = 27"], "final_answer": "27", "answer_type": "integer", "kind": "expression", "math_text": "-3 * (-9)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -9}", "seed": "9288039710746051397", "semantic_fingerprint": "sha256:581010b52e74f53ae355580604de7b1d5b690e58c1c1dea3d04f393a38335743", "generator_version": "3.0"}
{"id": "v3_test_id_00006309", "prompt": "Calculate: -42 / (85 - 187)", "solution_steps": ["Subtract: 85 - 187 = -102", "Divide: -42 / (-102) = 7/17"], "final_answer": "7/17", "answer_type": "rational", "kind": "expression", "math_text": "-42 / (85 - 187)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": 85, \"c\": 187}", "seed": "5048036780399595795", "semantic_fingerprint": "sha256:fab1e54eeba70bab5afeed00adb1edfb34ffbe4bda24109883128d60a7b2bb2b", "generator_version": "3.0"}
{"id": "v3_test_id_00006310", "prompt": "Compute: -3 / (511 + (766 - 2))", "solution_steps": ["Subtract: 766 - 2 = 764", "Add: 511 + 764 = 1275", "Divide: -3 / 1275 = -1/425"], "final_answer": "-1/425", "answer_type": "rational", "kind": "expression", "math_text": "-3 / (511 + (766 - 2))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 511, \"c\": 766, \"d\": 2}", "seed": "17689763196227408537", "semantic_fingerprint": "sha256:f06511bb8388aafc6c8bd8f11ec90cde28250874ccd4dbcdc2d027ab9d8e49cc", "generator_version": "3.0"}
{"id": "v3_test_id_00006311", "prompt": "Solve for x: 10(x + 4) - 33 = -5x - 40", "solution_steps": ["Expand: 10x + 40 - 33 = -5x - 40", "Combine constants: 10x + 7 = -5x - 40", "Add 5x to both sides: 15x + 7 = -40", "Subtract 7 from both sides: 15x = -47", "Divide both sides by 15: x = -47/15"], "final_answer": "-47/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x + 4) - 33 = -5x - 40", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 4, \"c\": 33, \"d\": -5, \"e\": 40}", "seed": "17270892639464545058", "semantic_fingerprint": "sha256:b3e9e81e393be234c33e1a43b7b18825a9c1cbc3a405166b2516f86d122a7c21", "generator_version": "3.0"}
{"id": "v3_test_id_00006312", "prompt": "What is (12 + 6) * 8?", "solution_steps": ["Add: 12 + 6 = 18", "Multiply: 18 * 8 = 144"], "final_answer": "144", "answer_type": "integer", "kind": "expression", "math_text": "(12 + 6) * 8", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 6, \"c\": 8}", "seed": "17672933381366417552", "semantic_fingerprint": "sha256:9d4d18becf8d04f9b56a492c5035868eedbe46f19e15bf1de6683a5710f6e437", "generator_version": "3.0"}
{"id": "v3_test_id_00006313", "prompt": "What is (-887 - (-237)) * 8?", "solution_steps": ["Subtract: -887 - (-237) = -650", "Multiply: -650 * 8 = -5200"], "final_answer": "-5200", "answer_type": "integer", "kind": "expression", "math_text": "(-887 - (-237)) * 8", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -887, \"b\": -237, \"c\": 8}", "seed": "12679282774844519610", "semantic_fingerprint": "sha256:a812af335a8dfbeaf920e4c846dc85cc36896123a3e8840a72b4009a0eefa091", "generator_version": "3.0"}
{"id": "v3_test_id_00006314", "prompt": "What is -63 * (-8)?", "solution_steps": ["Multiply: -63 * (-8) = 504"], "final_answer": "504", "answer_type": "integer", "kind": "expression", "math_text": "-63 * (-8)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -63, \"b\": -8}", "seed": "11742103265161599583", "semantic_fingerprint": "sha256:53fc6a6c980ae065adc70f44d695046fa30ab2f455c921e04edd9ca879c6c4a4", "generator_version": "3.0"}
{"id": "v3_test_id_00006315", "prompt": "Compute: -41 + 5", "solution_steps": ["Add: -41 + 5 = -36"], "final_answer": "-36", "answer_type": "integer", "kind": "expression", "math_text": "-41 + 5", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": 5}", "seed": "18158072668903706161", "semantic_fingerprint": "sha256:00fae4f5baab42f5154896d9dbcc7cdd0c5094c7b57148e8c7be471f5f5b2387", "generator_version": "3.0"}
{"id": "v3_test_id_00006316", "prompt": "Find x: 7(x + 40) + 911 = -11(x - 87)", "solution_steps": ["Expand: 7x + 280 + 911 = -11(x - 87)", "Expand: 7x + 280 + 911 = -11x + 957", "Combine constants: 7x + 1191 = -11x + 957", "Add 11x to both sides: 18x + 1191 = 957", "Subtract 1191 from both sides: 18x = -234", "Divide both sides by 18: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 40) + 911 = -11(x - 87)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 40, \"c\": -11, \"d\": 87, \"f\": 911, \"x\": -13}", "seed": "1889785215922517214", "semantic_fingerprint": "sha256:c833fccee5c8c77d66c61d6082a6ba9984be4602240d14d64970b38210ff4a20", "generator_version": "3.0"}
{"id": "v3_test_id_00006317", "prompt": "Evaluate: (11 + (-390)) / 3", "solution_steps": ["Add: 11 + (-390) = -379", "Divide: -379 / 3 = -379/3"], "final_answer": "-379/3", "answer_type": "rational", "kind": "expression", "math_text": "(11 + (-390)) / 3", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -390, \"c\": 3}", "seed": "6907159719981975030", "semantic_fingerprint": "sha256:6446c2690baf1697d1fbb9a6bcee74a96bca9b70d5fc692cd5b9fcaf24635a89", "generator_version": "3.0"}
{"id": "v3_test_id_00006318", "prompt": "Solve the equation 7(x + 29) + 76 = 2x + 369 for x.", "solution_steps": ["Expand: 7x + 203 + 76 = 2x + 369", "Combine constants: 7x + 279 = 2x + 369", "Subtract 2x from both sides: 5x + 279 = 369", "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": "7(x + 29) + 76 = 2x + 369", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 29, \"c\": 76, \"d\": 2, \"f\": 369, \"x\": 18}", "seed": "16449859190106368057", "semantic_fingerprint": "sha256:d0a05fdca217380d13028aec9fa7e0918b5df8a4afe39a3010b3970d428dc674", "generator_version": "3.0"}
{"id": "v3_test_id_00006319", "prompt": "Calculate: 63 / 87 * (-425 + (-54)) / (-212)", "solution_steps": ["Divide: 63 / 87 = 21/29", "Add: -425 + (-54) = -479", "Multiply: (21/29) * (-479) = -10059/29", "Divide: (-10059/29) / (-212) = 10059/6148"], "final_answer": "10059/6148", "answer_type": "rational", "kind": "expression", "math_text": "63 / 87 * (-425 + (-54)) / (-212)", "variable": null, "family": "expression_4op", "shape": "(/ (* (/ n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": 87, \"c\": -425, \"d\": -54, \"e\": -212}", "seed": "18205453010591843625", "semantic_fingerprint": "sha256:894041b32259586c0806af06cbed3c2b767f61151ebec71708244093aa235d29", "generator_version": "3.0"}
{"id": "v3_test_id_00006320", "prompt": "Compute: -423 / (-2) + 7", "solution_steps": ["Divide: -423 / (-2) = 423/2", "Add: 423/2 + 7 = 437/2"], "final_answer": "437/2", "answer_type": "rational", "kind": "expression", "math_text": "-423 / (-2) + 7", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -423, \"b\": -2, \"c\": 7}", "seed": "1065024590691176287", "semantic_fingerprint": "sha256:e75b3b17f631eccff8d168062bd9c4c2589b711c0bb7e41fc42c4dab8bc00f5c", "generator_version": "3.0"}
{"id": "v3_test_id_00006321", "prompt": "What is 274 / 1 * ((70 - 0) / 836)?", "solution_steps": ["Divide: 274 / 1 = 274", "Subtract: 70 - 0 = 70", "Divide: 70 / 836 = 35/418", "Multiply: 274 * (35/418) = 4795/209"], "final_answer": "4795/209", "answer_type": "rational", "kind": "expression", "math_text": "274 / 1 * ((70 - 0) / 836)", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (/ (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 274, \"b\": 1, \"c\": 70, \"d\": 0, \"e\": 836}", "seed": "4367522060156140651", "semantic_fingerprint": "sha256:82fdaffe5968edfd54f93f14fdd708974b6887585eead6a75d17d91130fe6cd3", "generator_version": "3.0"}
{"id": "v3_test_id_00006322", "prompt": "Calculate: 0 + 537 + (-9)", "solution_steps": ["Add: 0 + 537 = 537", "Add: 537 + (-9) = 528"], "final_answer": "528", "answer_type": "integer", "kind": "expression", "math_text": "0 + 537 + (-9)", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 537, \"c\": -9}", "seed": "12319943933918120394", "semantic_fingerprint": "sha256:15f5cdbf407aa2182688ed25bf0a03eec5cab8bb2bdb77f3c16a7a07fd9ae2b8", "generator_version": "3.0"}
{"id": "v3_test_id_00006323", "prompt": "Evaluate: 64 + (-761) + 55 / 11", "solution_steps": ["Add: 64 + (-761) = -697", "Divide: 55 / 11 = 5", "Add: -697 + 5 = -692"], "final_answer": "-692", "answer_type": "integer", "kind": "expression", "math_text": "64 + (-761) + 55 / 11", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": -761, \"c\": 55, \"d\": 11}", "seed": "7534342502492144751", "semantic_fingerprint": "sha256:356181952968bbf82449b23b1f7b272ade5f873edd0656abdf8d953ce6ff28cb", "generator_version": "3.0"}
{"id": "v3_test_id_00006324", "prompt": "Compute: 914 * (-55 + (3 - (-54)))", "solution_steps": ["Subtract: 3 - (-54) = 57", "Add: -55 + 57 = 2", "Multiply: 914 * 2 = 1828"], "final_answer": "1828", "answer_type": "integer", "kind": "expression", "math_text": "914 * (-55 + (3 - (-54)))", "variable": null, "family": "expression_3op", "shape": "(* n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 914, \"b\": -55, \"c\": 3, \"d\": -54}", "seed": "13314138833506852404", "semantic_fingerprint": "sha256:0780d07db5d59791dc93409da56e06f460ca6c08b577e68c73bc199b74acb217", "generator_version": "3.0"}
{"id": "v3_test_id_00006325", "prompt": "Calculate: -65 * (-3)", "solution_steps": ["Multiply: -65 * (-3) = 195"], "final_answer": "195", "answer_type": "integer", "kind": "expression", "math_text": "-65 * (-3)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -65, \"b\": -3}", "seed": "17462131914099960400", "semantic_fingerprint": "sha256:4f1dae978b3c5e7dae3307181337753de7a7b1d7cf4e33931e5a8e639c270344", "generator_version": "3.0"}
{"id": "v3_test_id_00006326", "prompt": "Calculate: 121 / (-18) / (-2)", "solution_steps": ["Divide: 121 / (-18) = -121/18", "Divide: (-121/18) / (-2) = 121/36"], "final_answer": "121/36", "answer_type": "rational", "kind": "expression", "math_text": "121 / (-18) / (-2)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 121, \"b\": -18, \"c\": -2}", "seed": "10446639571789831394", "semantic_fingerprint": "sha256:aac86b308ae682f0e70e32d73390ebd01d58277f40b298eabfb483cfe549af43", "generator_version": "3.0"}
{"id": "v3_test_id_00006327", "prompt": "Solve the equation 11(x + 444) = -5(x + 83) for x.", "solution_steps": ["Expand: 11x + 4884 = -5(x + 83)", "Expand: 11x + 4884 = -5x - 415", "Add 5x to both sides: 16x + 4884 = -415", "Subtract 4884 from both sides: 16x = -5299", "Divide both sides by 16: x = -5299/16"], "final_answer": "-5299/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x + 444) = -5(x + 83)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 444, \"c\": -5, \"d\": 83}", "seed": "17644852217445532184", "semantic_fingerprint": "sha256:d077877ff3945d0b93cd76d0fbc3a08c68df4041d9fcca133e050f5e393532e3", "generator_version": "3.0"}
{"id": "v3_test_id_00006328", "prompt": "Calculate: -52 * (-97) / 17", "solution_steps": ["Multiply: -52 * (-97) = 5044", "Divide: 5044 / 17 = 5044/17"], "final_answer": "5044/17", "answer_type": "rational", "kind": "expression", "math_text": "-52 * (-97) / 17", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": -97, \"c\": 17}", "seed": "11193273193976398539", "semantic_fingerprint": "sha256:f621e0b0b5675f8a7ca54f77ed11077d88a3206ed1067ca0974f49fe8c464f5a", "generator_version": "3.0"}
{"id": "v3_test_id_00006329", "prompt": "Evaluate: 218 + (848 + (-440))", "solution_steps": ["Add: 848 + (-440) = 408", "Add: 218 + 408 = 626"], "final_answer": "626", "answer_type": "integer", "kind": "expression", "math_text": "218 + (848 + (-440))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 218, \"b\": 848, \"c\": -440}", "seed": "17105153575428689634", "semantic_fingerprint": "sha256:fd707190a80148afa49c3165b388b4de17329eae39d9ff85db76aa205b211cc4", "generator_version": "3.0"}
{"id": "v3_test_id_00006330", "prompt": "Calculate: -25 / ((3 + (-4)) * (32 + 20))", "solution_steps": ["Add: 3 + (-4) = -1", "Add: 32 + 20 = 52", "Multiply: -1 * 52 = -52", "Divide: -25 / (-52) = 25/52"], "final_answer": "25/52", "answer_type": "rational", "kind": "expression", "math_text": "-25 / ((3 + (-4)) * (32 + 20))", "variable": null, "family": "expression_4op", "shape": "(/ n (* (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -25, \"b\": 3, \"c\": -4, \"d\": 32, \"e\": 20}", "seed": "4659630022196557007", "semantic_fingerprint": "sha256:a8daf5ddab374259b4a4feda45f24112475d6adf805016e1027283bd33211e98", "generator_version": "3.0"}
{"id": "v3_test_id_00006331", "prompt": "Compute: (2 + 669) * 1", "solution_steps": ["Add: 2 + 669 = 671", "Multiply: 671 * 1 = 671"], "final_answer": "671", "answer_type": "integer", "kind": "expression", "math_text": "(2 + 669) * 1", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 669, \"c\": 1}", "seed": "15126815579003175115", "semantic_fingerprint": "sha256:3d5fe23cf0a47323e10010daf62e6f99a26c48fa885345e9f9a2acb390ae85bf", "generator_version": "3.0"}
{"id": "v3_test_id_00006332", "prompt": "Calculate: 27 + (-25) * (-79) / 941", "solution_steps": ["Multiply: -25 * (-79) = 1975", "Divide: 1975 / 941 = 1975/941", "Add: 27 + 1975/941 = 27382/941"], "final_answer": "27382/941", "answer_type": "rational", "kind": "expression", "math_text": "27 + (-25) * (-79) / 941", "variable": null, "family": "expression_3op", "shape": "(+ n (/ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 27, \"b\": -25, \"c\": -79, \"d\": 941}", "seed": "5805671070298242282", "semantic_fingerprint": "sha256:17b4942300a042c71fa68d3b6bb84189866815683aada1476857f801a54806dd", "generator_version": "3.0"}
{"id": "v3_test_id_00006333", "prompt": "Solve for x: -3x + 7 = 6(x + 9)", "solution_steps": ["Expand: -3x + 7 = 6x + 54", "Subtract 6x from both sides: -9x + 7 = 54", "Subtract 7 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": "-3x + 7 = 6(x + 9)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 7, \"c\": 6, \"d\": 9}", "seed": "14927981221884971160", "semantic_fingerprint": "sha256:fdee7b10075509ce8499808cb0ed7312287eddfc0ed86dfcaebc17a136c56eda", "generator_version": "3.0"}
{"id": "v3_test_id_00006334", "prompt": "What value of x satisfies 4x - 882 = x - 924?", "solution_steps": ["Subtract x from both sides: 3x - 882 = -924", "Add 882 to both sides: 3x = -42", "Divide both sides by 3: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 882 = x - 924", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 882, \"d\": -924, \"x\": -14}", "seed": "4106349062209595920", "semantic_fingerprint": "sha256:f0875a1850fb622fbd82683cd792ff1cec499af672ea2e21dcfc37f45d78b98b", "generator_version": "3.0"}
{"id": "v3_test_id_00006335", "prompt": "What is -468 * (63 + 2) - (-9)?", "solution_steps": ["Add: 63 + 2 = 65", "Multiply: -468 * 65 = -30420", "Subtract: -30420 - (-9) = -30411"], "final_answer": "-30411", "answer_type": "integer", "kind": "expression", "math_text": "-468 * (63 + 2) - (-9)", "variable": null, "family": "expression_3op", "shape": "(- (* n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -468, \"b\": 63, \"c\": 2, \"d\": -9}", "seed": "15347081001566923955", "semantic_fingerprint": "sha256:9b1b0b3ee4ecb143f45ce1f4960a697e5c3f32ff201542dd21f4dd29cfff1ca0", "generator_version": "3.0"}
{"id": "v3_test_id_00006336", "prompt": "Solve for x: x - 984 = -977", "solution_steps": ["Add 984 to both sides: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 984 = -977", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 984, \"c\": -977, \"x\": 7}", "seed": "5235644185117568510", "semantic_fingerprint": "sha256:2f3322d88e6aa81ebd0372c24146fbf80e6ebbca5016b37d51611f631b0d5cc0", "generator_version": "3.0"}
{"id": "v3_test_id_00006337", "prompt": "Solve the equation 9x + 2 = x + 58 for x.", "solution_steps": ["Subtract x from both sides: 8x + 2 = 58", "Subtract 2 from both sides: 8x = 56", "Divide both sides by 8: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "9x + 2 = x + 58", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 2, \"d\": 58, \"x\": 7}", "seed": "295575231722556457", "semantic_fingerprint": "sha256:68ef138074df297e698e3dc26dd051be1d4205c881720b235e13886c00b93099", "generator_version": "3.0"}
{"id": "v3_test_id_00006338", "prompt": "What value of x satisfies 10x + 6 = -3(x + 7) - 51?", "solution_steps": ["Expand: 10x + 6 = -3x - 21 - 51", "Combine constants: 10x + 6 = -3x - 72", "Add 3x to both sides: 13x + 6 = -72", "Subtract 6 from both sides: 13x = -78", "Divide both sides by 13: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x + 6 = -3(x + 7) - 51", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 6, \"c\": -3, \"d\": 7, \"f\": -51, \"x\": -6}", "seed": "17298932403522128262", "semantic_fingerprint": "sha256:216ab7e6f9dc9245c1bf9515c449c19847282e8c95f2dfe7d8414065b68c7608", "generator_version": "3.0"}
{"id": "v3_test_id_00006339", "prompt": "Calculate: -9 * 66", "solution_steps": ["Multiply: -9 * 66 = -594"], "final_answer": "-594", "answer_type": "integer", "kind": "expression", "math_text": "-9 * 66", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 66}", "seed": "6903250627336956140", "semantic_fingerprint": "sha256:757f48590a5eedc46c054cea4345297a45a27755b438dca607dde0228ab6c3a8", "generator_version": "3.0"}
{"id": "v3_test_id_00006340", "prompt": "Calculate: (-3 - (-516) / (9 - 8)) / 60", "solution_steps": ["Subtract: 9 - 8 = 1", "Divide: -516 / 1 = -516", "Subtract: -3 - (-516) = 513", "Divide: 513 / 60 = 171/20"], "final_answer": "171/20", "answer_type": "rational", "kind": "expression", "math_text": "(-3 - (-516) / (9 - 8)) / 60", "variable": null, "family": "expression_4op", "shape": "(/ (- n (/ n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": -516, \"c\": 9, \"d\": 8, \"e\": 60}", "seed": "15785335318835245139", "semantic_fingerprint": "sha256:088edac515a6dd41fb3aeea167d32b8a66c0a9dc82503846b639326924686323", "generator_version": "3.0"}
{"id": "v3_test_id_00006341", "prompt": "Calculate: 6 + (43 * 9 - (-513) - (-17))", "solution_steps": ["Multiply: 43 * 9 = 387", "Subtract: 387 - (-513) = 900", "Subtract: 900 - (-17) = 917", "Add: 6 + 917 = 923"], "final_answer": "923", "answer_type": "integer", "kind": "expression", "math_text": "6 + (43 * 9 - (-513) - (-17))", "variable": null, "family": "expression_4op", "shape": "(+ n (- (- (* n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 43, \"c\": 9, \"d\": -513, \"e\": -17}", "seed": "3046903217525031908", "semantic_fingerprint": "sha256:49cc124a6119602b0745a6fdf84719680d1c887a16127021254a225c2e72ace2", "generator_version": "3.0"}
{"id": "v3_test_id_00006342", "prompt": "Find x: x = -7(x + 2)", "solution_steps": ["Expand: x = -7x - 14", "Add 7x to both sides: 8x = -14", "Divide both sides by 8: x = -7/4"], "final_answer": "-7/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -7(x + 2)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 2}", "seed": "2852780111327388068", "semantic_fingerprint": "sha256:75266a6980053411072dfd096406ef3a41f5b9ef407aace48d47283eccb61e1f", "generator_version": "3.0"}
{"id": "v3_test_id_00006343", "prompt": "Evaluate: (387 + (-36)) / (-87) * (713 + 4 - 2)", "solution_steps": ["Add: 387 + (-36) = 351", "Divide: 351 / (-87) = -117/29", "Add: 713 + 4 = 717", "Subtract: 717 - 2 = 715", "Multiply: (-117/29) * 715 = -83655/29"], "final_answer": "-83655/29", "answer_type": "rational", "kind": "expression", "math_text": "(387 + (-36)) / (-87) * (713 + 4 - 2)", "variable": null, "family": "expression_5op", "shape": "(* (/ (+ n n) n) (- (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 387, \"b\": -36, \"c\": -87, \"d\": 713, \"e\": 4, \"f\": 2}", "seed": "14656953135239110406", "semantic_fingerprint": "sha256:a2bad13856d95da650ea30864372cd008160ee97f5df28ebe12b094c65f524e2", "generator_version": "3.0"}
{"id": "v3_test_id_00006344", "prompt": "What is 232 - (609 - (-789)) - 90?", "solution_steps": ["Subtract: 609 - (-789) = 1398", "Subtract: 232 - 1398 = -1166", "Subtract: -1166 - 90 = -1256"], "final_answer": "-1256", "answer_type": "integer", "kind": "expression", "math_text": "232 - (609 - (-789)) - 90", "variable": null, "family": "expression_3op", "shape": "(- (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 232, \"b\": 609, \"c\": -789, \"d\": 90}", "seed": "14008381533685372933", "semantic_fingerprint": "sha256:bd5d0beaab7ab0bc21ec93e9421bba0f7e55b830d51ee17f463907cbb31516b4", "generator_version": "3.0"}
{"id": "v3_test_id_00006345", "prompt": "Calculate: 12 + 56 * (-3)", "solution_steps": ["Multiply: 56 * (-3) = -168", "Add: 12 + (-168) = -156"], "final_answer": "-156", "answer_type": "integer", "kind": "expression", "math_text": "12 + 56 * (-3)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 56, \"c\": -3}", "seed": "1220435710290414790", "semantic_fingerprint": "sha256:deaf601f1d6846dd1f0f852f30a3a470a9c93a510921002281f3b5fa84a79ab1", "generator_version": "3.0"}
{"id": "v3_test_id_00006346", "prompt": "What value of x satisfies x = 8(x + 110)?", "solution_steps": ["Expand: x = 8x + 880", "Subtract 8x from both sides: -7x = 880", "Divide both sides by -7: x = -880/7"], "final_answer": "-880/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 8(x + 110)", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 110}", "seed": "11741128355228806184", "semantic_fingerprint": "sha256:3314b96e2d27c73eeca0d0a0e6b2bb960fa451b6fbf0d8dd7b3b8931b65d366f", "generator_version": "3.0"}
{"id": "v3_test_id_00006347", "prompt": "What is -7 - (69 + 0) * ((-9 - 485) * (-7))?", "solution_steps": ["Add: 69 + 0 = 69", "Subtract: -9 - 485 = -494", "Multiply: -494 * (-7) = 3458", "Multiply: 69 * 3458 = 238602", "Subtract: -7 - 238602 = -238609"], "final_answer": "-238609", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (69 + 0) * ((-9 - 485) * (-7))", "variable": null, "family": "expression_5op", "shape": "(- n (* (+ n n) (* (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 69, \"c\": 0, \"d\": -9, \"e\": 485, \"f\": -7}", "seed": "10833505718558625954", "semantic_fingerprint": "sha256:82fb2b684225f46914ee687bd1faeaeb7eebf729e688863cd312b96e4842c9eb", "generator_version": "3.0"}
{"id": "v3_test_id_00006348", "prompt": "Evaluate: -694 + 2 / (-26)", "solution_steps": ["Divide: 2 / (-26) = -1/13", "Add: -694 + (-1/13) = -9023/13"], "final_answer": "-9023/13", "answer_type": "rational", "kind": "expression", "math_text": "-694 + 2 / (-26)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -694, \"b\": 2, \"c\": -26}", "seed": "773262317712874543", "semantic_fingerprint": "sha256:b0c323c392529a6a0ae20b86a38b0d85967e275462d3969549e3fbc36d97748f", "generator_version": "3.0"}
{"id": "v3_test_id_00006349", "prompt": "Compute: (5 + 62) * (-7) / (-1)", "solution_steps": ["Add: 5 + 62 = 67", "Multiply: 67 * (-7) = -469", "Divide: -469 / (-1) = 469"], "final_answer": "469", "answer_type": "integer", "kind": "expression", "math_text": "(5 + 62) * (-7) / (-1)", "variable": null, "family": "expression_3op", "shape": "(/ (* (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 62, \"c\": -7, \"d\": -1}", "seed": "4542679841767889851", "semantic_fingerprint": "sha256:2243b4781bb2f596bb395856cb1f0e77a520def926fdf797a095fb46883210b4", "generator_version": "3.0"}
{"id": "v3_test_id_00006350", "prompt": "What is -997 / (-4 - 664) * (-565)?", "solution_steps": ["Subtract: -4 - 664 = -668", "Divide: -997 / (-668) = 997/668", "Multiply: (997/668) * (-565) = -563305/668"], "final_answer": "-563305/668", "answer_type": "rational", "kind": "expression", "math_text": "-997 / (-4 - 664) * (-565)", "variable": null, "family": "expression_3op", "shape": "(* (/ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -997, \"b\": -4, \"c\": 664, \"d\": -565}", "seed": "14342175837597243743", "semantic_fingerprint": "sha256:b4d9ffbcbbab7379939ad31cec943d0802e22dac001eb99501024f6535a9c41c", "generator_version": "3.0"}
{"id": "v3_test_id_00006351", "prompt": "Solve the equation 3(x - 5) - 69 = -10x for x.", "solution_steps": ["Expand: 3x - 15 - 69 = -10x", "Combine constants: 3x - 84 = -10x", "Add 10x to both sides: 13x - 84 = 0", "Add 84 to both sides: 13x = 84", "Divide both sides by 13: x = 84/13"], "final_answer": "84/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 5) - 69 = -10x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 5, \"c\": 69, \"d\": -10}", "seed": "10882489325409774369", "semantic_fingerprint": "sha256:198eaa4da4fc7c91ad1621d967bcce75cdb1c98f7d585a27c5d95778abf640a7", "generator_version": "3.0"}
{"id": "v3_test_id_00006352", "prompt": "Calculate: 25 / (-9 - (-795))", "solution_steps": ["Subtract: -9 - (-795) = 786", "Divide: 25 / 786 = 25/786"], "final_answer": "25/786", "answer_type": "rational", "kind": "expression", "math_text": "25 / (-9 - (-795))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": -9, \"c\": -795}", "seed": "9902688384251857936", "semantic_fingerprint": "sha256:e0f36428c814e62721bb49b337840bb841df913896949ec866c7e1e6835704b8", "generator_version": "3.0"}
{"id": "v3_test_id_00006353", "prompt": "Compute: -6 + (19 + (-4)) + (-3)", "solution_steps": ["Add: 19 + (-4) = 15", "Add: -6 + 15 = 9", "Add: 9 + (-3) = 6"], "final_answer": "6", "answer_type": "integer", "kind": "expression", "math_text": "-6 + (19 + (-4)) + (-3)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 19, \"c\": -4, \"d\": -3}", "seed": "12731815738369211191", "semantic_fingerprint": "sha256:8064a125796430405aa83f007e57bcd0b2da3f46c94bc25ba15ba7eecf669a5d", "generator_version": "3.0"}
{"id": "v3_test_id_00006354", "prompt": "Calculate: 7 + (-23 / (-1) + 66)", "solution_steps": ["Divide: -23 / (-1) = 23", "Add: 23 + 66 = 89", "Add: 7 + 89 = 96"], "final_answer": "96", "answer_type": "integer", "kind": "expression", "math_text": "7 + (-23 / (-1) + 66)", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -23, \"c\": -1, \"d\": 66}", "seed": "17128780687579621779", "semantic_fingerprint": "sha256:85fdd28d58887aa2c572b505fe12c6771b68df288f17c40c2d48f6e4449f5b92", "generator_version": "3.0"}
{"id": "v3_test_id_00006355", "prompt": "Calculate: (-7 - (-1)) * (-401 / 85 - 70)", "solution_steps": ["Subtract: -7 - (-1) = -6", "Divide: -401 / 85 = -401/85", "Subtract: -401/85 - 70 = -6351/85", "Multiply: -6 * (-6351/85) = 38106/85"], "final_answer": "38106/85", "answer_type": "rational", "kind": "expression", "math_text": "(-7 - (-1)) * (-401 / 85 - 70)", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (- (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -1, \"c\": -401, \"d\": 85, \"e\": 70}", "seed": "8801504546434134663", "semantic_fingerprint": "sha256:aa56667832b4a5d7f77c04c420ed7169ac18f49cf7c5d61b04bd4f175e521486", "generator_version": "3.0"}
{"id": "v3_test_id_00006356", "prompt": "Evaluate: 0 / 66", "solution_steps": ["Divide: 0 / 66 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / 66", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 66}", "seed": "3030891670616555022", "semantic_fingerprint": "sha256:dbdb10b4ac72efb176056acaa0f5a0ae3e6c07dac89bd7fe44c10634132ec712", "generator_version": "3.0"}
{"id": "v3_test_id_00006357", "prompt": "Calculate: -6 / ((-4 + 252) / (670 + 48) / 2)", "solution_steps": ["Add: -4 + 252 = 248", "Add: 670 + 48 = 718", "Divide: 248 / 718 = 124/359", "Divide: (124/359) / 2 = 62/359", "Divide: -6 / (62/359) = -1077/31"], "final_answer": "-1077/31", "answer_type": "rational", "kind": "expression", "math_text": "-6 / ((-4 + 252) / (670 + 48) / 2)", "variable": null, "family": "expression_5op", "shape": "(/ n (/ (/ (+ n n) (+ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -4, \"c\": 252, \"d\": 670, \"e\": 48, \"f\": 2}", "seed": "8965604129548026316", "semantic_fingerprint": "sha256:f3fed53109c441f00392bdc250369095d02f3282731141cd6218c8ada0dbb326", "generator_version": "3.0"}
{"id": "v3_test_id_00006358", "prompt": "Calculate: (-8 - (-67)) / 874", "solution_steps": ["Subtract: -8 - (-67) = 59", "Divide: 59 / 874 = 59/874"], "final_answer": "59/874", "answer_type": "rational", "kind": "expression", "math_text": "(-8 - (-67)) / 874", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -67, \"c\": 874}", "seed": "690739370578934172", "semantic_fingerprint": "sha256:6e1fa6db1323e5c71ee6be21789967b28047238c3b6f0f9b2d6e96b2469f7013", "generator_version": "3.0"}
{"id": "v3_test_id_00006359", "prompt": "Calculate: (371 - 80 - 916) * ((-9 + (-89)) * (-12))", "solution_steps": ["Subtract: 371 - 80 = 291", "Subtract: 291 - 916 = -625", "Add: -9 + (-89) = -98", "Multiply: -98 * (-12) = 1176", "Multiply: -625 * 1176 = -735000"], "final_answer": "-735000", "answer_type": "integer", "kind": "expression", "math_text": "(371 - 80 - 916) * ((-9 + (-89)) * (-12))", "variable": null, "family": "expression_5op", "shape": "(* (- (- n n) n) (* (+ n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 371, \"b\": 80, \"c\": 916, \"d\": -9, \"e\": -89, \"f\": -12}", "seed": "17867307686778446156", "semantic_fingerprint": "sha256:140858977ae82c5bc9fd9c0af65ea30e3269e9e826eca87a36f317dd631381ca", "generator_version": "3.0"}
{"id": "v3_test_id_00006360", "prompt": "Compute: 56 * (8 - (-7))", "solution_steps": ["Subtract: 8 - (-7) = 15", "Multiply: 56 * 15 = 840"], "final_answer": "840", "answer_type": "integer", "kind": "expression", "math_text": "56 * (8 - (-7))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 8, \"c\": -7}", "seed": "5203205089974135655", "semantic_fingerprint": "sha256:dacf56745500cf142a544bb9e78add63b3e792ac41626cb8226d353c8b3d0826", "generator_version": "3.0"}
{"id": "v3_test_id_00006361", "prompt": "Compute: -144 + (-3) - (-3) * (-61)", "solution_steps": ["Add: -144 + (-3) = -147", "Multiply: -3 * (-61) = 183", "Subtract: -147 - 183 = -330"], "final_answer": "-330", "answer_type": "integer", "kind": "expression", "math_text": "-144 + (-3) - (-3) * (-61)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -144, \"b\": -3, \"c\": -3, \"d\": -61}", "seed": "5120201850171147857", "semantic_fingerprint": "sha256:87b1b6f20cda4a50e4f3ef211ad84782352903d265a6fd1c4ec0deb976cb21b6", "generator_version": "3.0"}
{"id": "v3_test_id_00006362", "prompt": "What value of x satisfies 12(x - 2) + 69 = x - 87?", "solution_steps": ["Expand: 12x - 24 + 69 = x - 87", "Combine constants: 12x + 45 = x - 87", "Subtract x from both sides: 11x + 45 = -87", "Subtract 45 from both sides: 11x = -132", "Divide both sides by 11: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 2) + 69 = x - 87", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 69, \"e\": -87, \"x\": -12}", "seed": "8487391093421331750", "semantic_fingerprint": "sha256:d668339b92427f162955811a92658a0f6b0b92734df119de62064d19be66fbeb", "generator_version": "3.0"}
{"id": "v3_test_id_00006363", "prompt": "Calculate: 37 * (-9)", "solution_steps": ["Multiply: 37 * (-9) = -333"], "final_answer": "-333", "answer_type": "integer", "kind": "expression", "math_text": "37 * (-9)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 37, \"b\": -9}", "seed": "4440586390778302987", "semantic_fingerprint": "sha256:1bf88a479aeb5692cb45a2e92266caa20924e2f91db9d45c74611f873e143da9", "generator_version": "3.0"}
{"id": "v3_test_id_00006364", "prompt": "Evaluate: -5 * (93 / 2) * 76", "solution_steps": ["Divide: 93 / 2 = 93/2", "Multiply: -5 * (93/2) = -465/2", "Multiply: (-465/2) * 76 = -17670"], "final_answer": "-17670", "answer_type": "integer", "kind": "expression", "math_text": "-5 * (93 / 2) * 76", "variable": null, "family": "expression_3op", "shape": "(* (* n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 93, \"c\": 2, \"d\": 76}", "seed": "6996862384535715481", "semantic_fingerprint": "sha256:6340fc0d1654f6e1cb44430f8af4d36cffdd1c905f40f65d5ca16081b30b53c8", "generator_version": "3.0"}
{"id": "v3_test_id_00006365", "prompt": "What value of x satisfies 7x = 42?", "solution_steps": ["Divide both sides by 7: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 42", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"c\": 42, \"x\": 6}", "seed": "9798487066212614562", "semantic_fingerprint": "sha256:a217b24066f17195b27242a7cd97d2750c4484f5114c0e7a0ad208af88ff007d", "generator_version": "3.0"}
{"id": "v3_test_id_00006366", "prompt": "Compute: 785 / (-80 * (-4) * (-9))", "solution_steps": ["Multiply: -80 * (-4) = 320", "Multiply: 320 * (-9) = -2880", "Divide: 785 / (-2880) = -157/576"], "final_answer": "-157/576", "answer_type": "rational", "kind": "expression", "math_text": "785 / (-80 * (-4) * (-9))", "variable": null, "family": "expression_3op", "shape": "(/ n (* (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 785, \"b\": -80, \"c\": -4, \"d\": -9}", "seed": "6134030946345105884", "semantic_fingerprint": "sha256:d7f0828e9b9ab103ad51c081f53f1650d764c221977e94a46e3956b73b80339a", "generator_version": "3.0"}
{"id": "v3_test_id_00006367", "prompt": "Calculate: 85 - (-73)", "solution_steps": ["Subtract: 85 - (-73) = 158"], "final_answer": "158", "answer_type": "integer", "kind": "expression", "math_text": "85 - (-73)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 85, \"b\": -73}", "seed": "13538538185374088859", "semantic_fingerprint": "sha256:300808f77ff5ecfd8d7ed3dd75c981bff994f9954b9fe2efb387d729b4e17912", "generator_version": "3.0"}
{"id": "v3_test_id_00006368", "prompt": "Evaluate: 0 + 834 + 90 / (-7)", "solution_steps": ["Add: 0 + 834 = 834", "Divide: 90 / (-7) = -90/7", "Add: 834 + (-90/7) = 5748/7"], "final_answer": "5748/7", "answer_type": "rational", "kind": "expression", "math_text": "0 + 834 + 90 / (-7)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 834, \"c\": 90, \"d\": -7}", "seed": "1177219260574744997", "semantic_fingerprint": "sha256:ee448a3efe7b10f74b7e5f44fc311441d5558146652efd674a14abb0134bfc57", "generator_version": "3.0"}
{"id": "v3_test_id_00006369", "prompt": "Solve for x: 6x - 6 = -66", "solution_steps": ["Add 6 to both sides: 6x = -60", "Divide both sides by 6: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 6 = -66", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 6, \"d\": -66, \"x\": -10}", "seed": "948405234611796144", "semantic_fingerprint": "sha256:d72b33f57239bf6d9ef26bd53f3988b2222a46efc77213cce8fd15d9062d7cd1", "generator_version": "3.0"}
{"id": "v3_test_id_00006370", "prompt": "Evaluate: -87 / (59 * (-1 / (-80))) / (-9)", "solution_steps": ["Divide: -1 / (-80) = 1/80", "Multiply: 59 * (1/80) = 59/80", "Divide: -87 / (59/80) = -6960/59", "Divide: (-6960/59) / (-9) = 2320/177"], "final_answer": "2320/177", "answer_type": "rational", "kind": "expression", "math_text": "-87 / (59 * (-1 / (-80))) / (-9)", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (* n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -87, \"b\": 59, \"c\": -1, \"d\": -80, \"e\": -9}", "seed": "4438466777649820711", "semantic_fingerprint": "sha256:c6be0a4ef3ac488ee529804f8b01559a7a2b073e986803bb3434d29ca1df7263", "generator_version": "3.0"}
{"id": "v3_test_id_00006371", "prompt": "Evaluate: 76 / (764 - (-936) / (-96)) * (-8)", "solution_steps": ["Divide: -936 / (-96) = 39/4", "Subtract: 764 - 39/4 = 3017/4", "Divide: 76 / (3017/4) = 304/3017", "Multiply: (304/3017) * (-8) = -2432/3017"], "final_answer": "-2432/3017", "answer_type": "rational", "kind": "expression", "math_text": "76 / (764 - (-936) / (-96)) * (-8)", "variable": null, "family": "expression_4op", "shape": "(* (/ n (- n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 764, \"c\": -936, \"d\": -96, \"e\": -8}", "seed": "16569041406709600566", "semantic_fingerprint": "sha256:e43f7a6c904a6202892f1e99ea3e1efb7262180ab46011109350bc8b389429ff", "generator_version": "3.0"}
{"id": "v3_test_id_00006372", "prompt": "Calculate: -741 / (-30 + 310 * (-2))", "solution_steps": ["Multiply: 310 * (-2) = -620", "Add: -30 + (-620) = -650", "Divide: -741 / (-650) = 57/50"], "final_answer": "57/50", "answer_type": "rational", "kind": "expression", "math_text": "-741 / (-30 + 310 * (-2))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -741, \"b\": -30, \"c\": 310, \"d\": -2}", "seed": "9294629046746406460", "semantic_fingerprint": "sha256:bf27b0032c472c51be6db62a6ec88f418d1f3770c94cb7b94bfe38e0637876a1", "generator_version": "3.0"}
{"id": "v3_test_id_00006373", "prompt": "Compute: (-491 + (-40)) * (-97 / (-531 / (-772 - (-1))))", "solution_steps": ["Add: -491 + (-40) = -531", "Subtract: -772 - (-1) = -771", "Divide: -531 / (-771) = 177/257", "Divide: -97 / (177/257) = -24929/177", "Multiply: -531 * (-24929/177) = 74787"], "final_answer": "74787", "answer_type": "integer", "kind": "expression", "math_text": "(-491 + (-40)) * (-97 / (-531 / (-772 - (-1))))", "variable": null, "family": "expression_5op", "shape": "(* (+ n n) (/ n (/ n (- n n))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -491, \"b\": -40, \"c\": -97, \"d\": -531, \"e\": -772, \"f\": -1}", "seed": "568582355161118157", "semantic_fingerprint": "sha256:6288b15c6acaa0f35e16ea556dcf42ef15c1d50b72f91afaab483b98013b9c5f", "generator_version": "3.0"}
{"id": "v3_test_id_00006374", "prompt": "What is (-668 + (-830 + (-42))) * (-67)?", "solution_steps": ["Add: -830 + (-42) = -872", "Add: -668 + (-872) = -1540", "Multiply: -1540 * (-67) = 103180"], "final_answer": "103180", "answer_type": "integer", "kind": "expression", "math_text": "(-668 + (-830 + (-42))) * (-67)", "variable": null, "family": "expression_3op", "shape": "(* (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -668, \"b\": -830, \"c\": -42, \"d\": -67}", "seed": "12848141483468380532", "semantic_fingerprint": "sha256:dd67c898673e43406e01474222fe49b76a0e0eab1dd67260c6a4f1d9099f2b55", "generator_version": "3.0"}
{"id": "v3_test_id_00006375", "prompt": "Calculate: 23 * (-8 * 8) * (849 / (-422))", "solution_steps": ["Multiply: -8 * 8 = -64", "Multiply: 23 * (-64) = -1472", "Divide: 849 / (-422) = -849/422", "Multiply: -1472 * (-849/422) = 624864/211"], "final_answer": "624864/211", "answer_type": "rational", "kind": "expression", "math_text": "23 * (-8 * 8) * (849 / (-422))", "variable": null, "family": "expression_4op", "shape": "(* (* n (* n n)) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": -8, \"c\": 8, \"d\": 849, \"e\": -422}", "seed": "6916216981386576440", "semantic_fingerprint": "sha256:fd4eb90e0ead24309ccbad53f9a1dca404a31be2bbbe0f7d407809542f8bbc2e", "generator_version": "3.0"}
{"id": "v3_test_id_00006376", "prompt": "Evaluate: (234 - (-74)) * (-805)", "solution_steps": ["Subtract: 234 - (-74) = 308", "Multiply: 308 * (-805) = -247940"], "final_answer": "-247940", "answer_type": "integer", "kind": "expression", "math_text": "(234 - (-74)) * (-805)", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 234, \"b\": -74, \"c\": -805}", "seed": "17462593877146628426", "semantic_fingerprint": "sha256:4bbda52a44f87dd74f4c28d53a77fa1b89784e35429c13ae9b959a14891529ee", "generator_version": "3.0"}
{"id": "v3_test_id_00006377", "prompt": "Calculate: -3 + 77", "solution_steps": ["Add: -3 + 77 = 74"], "final_answer": "74", "answer_type": "integer", "kind": "expression", "math_text": "-3 + 77", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 77}", "seed": "18016416947533993649", "semantic_fingerprint": "sha256:9132ec3dcf42773636d6cce4c3c9492906b82f1060027125e0b3db8657ae55f2", "generator_version": "3.0"}
{"id": "v3_test_id_00006378", "prompt": "What value of x satisfies x + 4 = -10(x - 7)?", "solution_steps": ["Expand: x + 4 = -10x + 70", "Add 10x to both sides: 11x + 4 = 70", "Subtract 4 from both sides: 11x = 66", "Divide both sides by 11: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4 = -10(x - 7)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 7, \"d\": 4, \"x\": 6}", "seed": "13896629120445185547", "semantic_fingerprint": "sha256:e4afc772a6b671d0006ce70ec76ac235501ba59f5b8e9ca825b040541a54eb9d", "generator_version": "3.0"}
{"id": "v3_test_id_00006379", "prompt": "Compute: -13 - 48 - (-6)", "solution_steps": ["Subtract: -13 - 48 = -61", "Subtract: -61 - (-6) = -55"], "final_answer": "-55", "answer_type": "integer", "kind": "expression", "math_text": "-13 - 48 - (-6)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": 48, \"c\": -6}", "seed": "16362393850973798994", "semantic_fingerprint": "sha256:8140f029df0cd82e2cb3c1bfef061764a557497daf9b2c277f394bb650241591", "generator_version": "3.0"}
{"id": "v3_test_id_00006380", "prompt": "Solve the equation 3(x + 25) + 3 = 11(x - 2) for x.", "solution_steps": ["Expand: 3x + 75 + 3 = 11(x - 2)", "Expand: 3x + 75 + 3 = 11x - 22", "Combine constants: 3x + 78 = 11x - 22", "Subtract 11x from both sides: -8x + 78 = -22", "Subtract 78 from both sides: -8x = -100", "Divide both sides by -8: x = 25/2"], "final_answer": "25/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x + 25) + 3 = 11(x - 2)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 25, \"c\": 3, \"d\": 11, \"e\": 2}", "seed": "15765610052712983122", "semantic_fingerprint": "sha256:4b6baaa5073dbc5f16a04d9a86af36cccec58de17d37ea69d3acb3ce7a53bb8e", "generator_version": "3.0"}
{"id": "v3_test_id_00006381", "prompt": "Evaluate: 62 / 43 - (-37) / (-51)", "solution_steps": ["Divide: 62 / 43 = 62/43", "Divide: -37 / (-51) = 37/51", "Subtract: 62/43 - 37/51 = 1571/2193"], "final_answer": "1571/2193", "answer_type": "rational", "kind": "expression", "math_text": "62 / 43 - (-37) / (-51)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": 43, \"c\": -37, \"d\": -51}", "seed": "13111127442975216766", "semantic_fingerprint": "sha256:a4ef569019b6475fba94fe8063ff55426a1186443cf4c6fa3f34daa0e45fef75", "generator_version": "3.0"}
{"id": "v3_test_id_00006382", "prompt": "Solve the equation -9x + 6 = 12x - 141 for x.", "solution_steps": ["Subtract 12x from both sides: -21x + 6 = -141", "Subtract 6 from both sides: -21x = -147", "Divide both sides by -21: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x + 6 = 12x - 141", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 6, \"c\": 12, \"e\": -141, \"x\": 7}", "seed": "17335341664192266704", "semantic_fingerprint": "sha256:9953c0a2f21878fac5d3ad353cd148586699f5ba9dc2314e6bae6d565e278a29", "generator_version": "3.0"}
{"id": "v3_test_id_00006383", "prompt": "What value of x satisfies -8(x + 2) + 124 = x?", "solution_steps": ["Expand: -8x - 16 + 124 = x", "Combine constants: -8x + 108 = x", "Subtract x from both sides: -9x + 108 = 0", "Subtract 108 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 + 2) + 124 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 2, \"d\": 124, \"x\": 12}", "seed": "1376015810715564734", "semantic_fingerprint": "sha256:cb5712c373b5dff870a6accc48f413ca5ecd2ccdc890a6a24728fa0611821b17", "generator_version": "3.0"}
{"id": "v3_test_id_00006384", "prompt": "What is -62 - (17 - (-925) * 23)?", "solution_steps": ["Multiply: -925 * 23 = -21275", "Subtract: 17 - (-21275) = 21292", "Subtract: -62 - 21292 = -21354"], "final_answer": "-21354", "answer_type": "integer", "kind": "expression", "math_text": "-62 - (17 - (-925) * 23)", "variable": null, "family": "expression_3op", "shape": "(- n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -62, \"b\": 17, \"c\": -925, \"d\": 23}", "seed": "18290310967284093752", "semantic_fingerprint": "sha256:64355a1ac564518214b4fafbbf613b4dae5c75fdf831314a2a52f8dfced9f932", "generator_version": "3.0"}
{"id": "v3_test_id_00006385", "prompt": "Solve the equation x + 5 = 8(x - 77) + 530 for x.", "solution_steps": ["Expand: x + 5 = 8x - 616 + 530", "Combine constants: x + 5 = 8x - 86", "Subtract 8x from both sides: -7x + 5 = -86", "Subtract 5 from both sides: -7x = -91", "Divide both sides by -7: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 5 = 8(x - 77) + 530", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 8, \"c\": 77, \"e\": 530, \"x\": 13}", "seed": "956943499417356305", "semantic_fingerprint": "sha256:759e8d5f002e526de7ccdcecc2b1f99f9338ee914bf727feb5de8877062a23e5", "generator_version": "3.0"}
{"id": "v3_test_id_00006386", "prompt": "Calculate: (1 - 187 + (-56)) * (-467 - 2) - 4", "solution_steps": ["Subtract: 1 - 187 = -186", "Add: -186 + (-56) = -242", "Subtract: -467 - 2 = -469", "Multiply: -242 * (-469) = 113498", "Subtract: 113498 - 4 = 113494"], "final_answer": "113494", "answer_type": "integer", "kind": "expression", "math_text": "(1 - 187 + (-56)) * (-467 - 2) - 4", "variable": null, "family": "expression_5op", "shape": "(- (* (+ (- n n) n) (- n n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 187, \"c\": -56, \"d\": -467, \"e\": 2, \"f\": 4}", "seed": "8625312876488299317", "semantic_fingerprint": "sha256:c52e33f16651b4d10a74429b38fbb0aabd8611c71887f64ecdbd97ace776ab84", "generator_version": "3.0"}
{"id": "v3_test_id_00006387", "prompt": "Compute: -20 + (6 - (-9) / (-3))", "solution_steps": ["Divide: -9 / (-3) = 3", "Subtract: 6 - 3 = 3", "Add: -20 + 3 = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "expression", "math_text": "-20 + (6 - (-9) / (-3))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": 6, \"c\": -9, \"d\": -3}", "seed": "7973891896089244841", "semantic_fingerprint": "sha256:7841ee702faf06eb5a33592d683cabb2dd6e9d14ab78502efd6b2fef11c33fcc", "generator_version": "3.0"}
{"id": "v3_test_id_00006388", "prompt": "Calculate: 63 - (0 - (-368))", "solution_steps": ["Subtract: 0 - (-368) = 368", "Subtract: 63 - 368 = -305"], "final_answer": "-305", "answer_type": "integer", "kind": "expression", "math_text": "63 - (0 - (-368))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 63, \"b\": 0, \"c\": -368}", "seed": "1005734989963744158", "semantic_fingerprint": "sha256:85d49441563945923ed8b58823d2d3a51d1fc02a9c52119ebd15a26a792093a8", "generator_version": "3.0"}
{"id": "v3_test_id_00006389", "prompt": "Evaluate: (3 + 9) * (-55 - 860)", "solution_steps": ["Add: 3 + 9 = 12", "Subtract: -55 - 860 = -915", "Multiply: 12 * (-915) = -10980"], "final_answer": "-10980", "answer_type": "integer", "kind": "expression", "math_text": "(3 + 9) * (-55 - 860)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": -55, \"d\": 860}", "seed": "16028708651397923022", "semantic_fingerprint": "sha256:0e2ae43caba0e2f3828930008fe631117dd926dd61e0a6cf144f8d005bed8bd4", "generator_version": "3.0"}
{"id": "v3_test_id_00006390", "prompt": "Evaluate: 71 + (-235 - (-832 - (-771))) * (16 / (-3))", "solution_steps": ["Subtract: -832 - (-771) = -61", "Subtract: -235 - (-61) = -174", "Divide: 16 / (-3) = -16/3", "Multiply: -174 * (-16/3) = 928", "Add: 71 + 928 = 999"], "final_answer": "999", "answer_type": "integer", "kind": "expression", "math_text": "71 + (-235 - (-832 - (-771))) * (16 / (-3))", "variable": null, "family": "expression_5op", "shape": "(+ n (* (- n (- n n)) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 71, \"b\": -235, \"c\": -832, \"d\": -771, \"e\": 16, \"f\": -3}", "seed": "6368953440976249210", "semantic_fingerprint": "sha256:47f0ae320178c145c3fc38fae35d2c43efd67bacda0dfdfc460607c3d7048e7b", "generator_version": "3.0"}
{"id": "v3_test_id_00006391", "prompt": "What is -23 / (-1)?", "solution_steps": ["Divide: -23 / (-1) = 23"], "final_answer": "23", "answer_type": "integer", "kind": "expression", "math_text": "-23 / (-1)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": -1}", "seed": "16548205222936692998", "semantic_fingerprint": "sha256:026311fb1b572af54654641bfe76adc7e9fab6f30f4bec1151e484bf2f3f5e0b", "generator_version": "3.0"}
{"id": "v3_test_id_00006392", "prompt": "Solve for x: -3(x - 4) + 79 = x + 99", "solution_steps": ["Expand: -3x + 12 + 79 = x + 99", "Combine constants: -3x + 91 = x + 99", "Subtract x from both sides: -4x + 91 = 99", "Subtract 91 from both sides: -4x = 8", "Divide both sides by -4: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 4) + 79 = x + 99", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 4, \"c\": 79, \"e\": 99, \"x\": -2}", "seed": "6298677584306797559", "semantic_fingerprint": "sha256:54d9b9031a669891b1e57c915561061de51b3cb7dfe03ee8c8b26c091482eff4", "generator_version": "3.0"}
{"id": "v3_test_id_00006393", "prompt": "What is 45 - (72 - 19) - (-125)?", "solution_steps": ["Subtract: 72 - 19 = 53", "Subtract: 45 - 53 = -8", "Subtract: -8 - (-125) = 117"], "final_answer": "117", "answer_type": "integer", "kind": "expression", "math_text": "45 - (72 - 19) - (-125)", "variable": null, "family": "expression_3op", "shape": "(- (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": 72, \"c\": 19, \"d\": -125}", "seed": "14581930576949187857", "semantic_fingerprint": "sha256:fb60f414c0cf8326fed8ae95876d89a111da4a8575ecc8960d52a44a5ff875a5", "generator_version": "3.0"}
{"id": "v3_test_id_00006394", "prompt": "Evaluate: -9 * (-1 * (-729)) / (-1)", "solution_steps": ["Multiply: -1 * (-729) = 729", "Multiply: -9 * 729 = -6561", "Divide: -6561 / (-1) = 6561"], "final_answer": "6561", "answer_type": "integer", "kind": "expression", "math_text": "-9 * (-1 * (-729)) / (-1)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -1, \"c\": -729, \"d\": -1}", "seed": "17249358778678249480", "semantic_fingerprint": "sha256:5ee3a22b95ef94592db6c1f3ee12b55381c940089d1445f19b58bb29c12c0b6f", "generator_version": "3.0"}
{"id": "v3_test_id_00006395", "prompt": "Evaluate: (-265 + (95 + (-5))) * (-87)", "solution_steps": ["Add: 95 + (-5) = 90", "Add: -265 + 90 = -175", "Multiply: -175 * (-87) = 15225"], "final_answer": "15225", "answer_type": "integer", "kind": "expression", "math_text": "(-265 + (95 + (-5))) * (-87)", "variable": null, "family": "expression_3op", "shape": "(* (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -265, \"b\": 95, \"c\": -5, \"d\": -87}", "seed": "9675198504668802887", "semantic_fingerprint": "sha256:50ba91c09f9d71d01d8db85bd63676ab6c6cb28b9eab17cd1dc3285549978f97", "generator_version": "3.0"}
{"id": "v3_test_id_00006396", "prompt": "Solve for x: -7(x - 58) + 40 = x + 342", "solution_steps": ["Expand: -7x + 406 + 40 = x + 342", "Combine constants: -7x + 446 = x + 342", "Subtract x from both sides: -8x + 446 = 342", "Subtract 446 from both sides: -8x = -104", "Divide both sides by -8: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x - 58) + 40 = x + 342", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 58, \"c\": 40, \"e\": 342, \"x\": 13}", "seed": "5276811654087300622", "semantic_fingerprint": "sha256:14fc5ad2f807cf785e49efc2fe0b96cedcf217fcb7525f6f3aa471890a454963", "generator_version": "3.0"}
{"id": "v3_test_id_00006397", "prompt": "Evaluate: (-50 - 788) / (9 - 28)", "solution_steps": ["Subtract: -50 - 788 = -838", "Subtract: 9 - 28 = -19", "Divide: -838 / (-19) = 838/19"], "final_answer": "838/19", "answer_type": "rational", "kind": "expression", "math_text": "(-50 - 788) / (9 - 28)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": 788, \"c\": 9, \"d\": 28}", "seed": "9986134457669833270", "semantic_fingerprint": "sha256:496f5e34b2b6d8b7ea9f7ffeb0db12fee65d25d99397a29566272bc657cf637d", "generator_version": "3.0"}
{"id": "v3_test_id_00006398", "prompt": "What value of x satisfies 6x + 20 = 2(x - 8)?", "solution_steps": ["Expand: 6x + 20 = 2x - 16", "Subtract 2x from both sides: 4x + 20 = -16", "Subtract 20 from both sides: 4x = -36", "Divide both sides by 4: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x + 20 = 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\": 20, \"x\": -9}", "seed": "3772133424842108392", "semantic_fingerprint": "sha256:e41c5132261c98b893086138194e0dee75e702242dc9180b1d609750be288b22", "generator_version": "3.0"}
{"id": "v3_test_id_00006399", "prompt": "Find x: -9(x - 58) = -5(x + 6) + 472", "solution_steps": ["Expand: -9x + 522 = -5(x + 6) + 472", "Expand: -9x + 522 = -5x - 30 + 472", "Combine constants: -9x + 522 = -5x + 442", "Add 5x to both sides: -4x + 522 = 442", "Subtract 522 from both sides: -4x = -80", "Divide both sides by -4: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 58) = -5(x + 6) + 472", "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\": -5, \"d\": 6, \"f\": 472, \"x\": 20}", "seed": "6392207737986878915", "semantic_fingerprint": "sha256:b4320eeacf71ac562326fa9240ceb63d618895bcfeffea39ad32bd2dd9b91b40", "generator_version": "3.0"}
{"id": "v3_test_id_00006400", "prompt": "Find x: 4(x + 231) = -12(x + 51)", "solution_steps": ["Expand: 4x + 924 = -12(x + 51)", "Expand: 4x + 924 = -12x - 612", "Add 12x to both sides: 16x + 924 = -612", "Subtract 924 from both sides: 16x = -1536", "Divide both sides by 16: x = -96"], "final_answer": "-96", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 231) = -12(x + 51)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 231, \"c\": -12, \"d\": 51}", "seed": "16750016068452965809", "semantic_fingerprint": "sha256:be2d4de4d0f5dcd1bbaa42b21862fb8cf5758116dcb14f7fc0b9dac538ef5f1e", "generator_version": "3.0"}
{"id": "v3_test_id_00006401", "prompt": "What is 62 + (-82) / (-76)?", "solution_steps": ["Divide: -82 / (-76) = 41/38", "Add: 62 + 41/38 = 2397/38"], "final_answer": "2397/38", "answer_type": "rational", "kind": "expression", "math_text": "62 + (-82) / (-76)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": -82, \"c\": -76}", "seed": "16718887233699201697", "semantic_fingerprint": "sha256:0cd31debd89c8cad64e0db275d908d69c58be3a71d8051666f83ac30a04fcad4", "generator_version": "3.0"}
{"id": "v3_test_id_00006402", "prompt": "Compute: -161 - 33", "solution_steps": ["Subtract: -161 - 33 = -194"], "final_answer": "-194", "answer_type": "integer", "kind": "expression", "math_text": "-161 - 33", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -161, \"b\": 33}", "seed": "6822172522015931705", "semantic_fingerprint": "sha256:8a4709f3470258e98bdc50f6d8e3e68edebb547a70c00978ca04c4a0770047ee", "generator_version": "3.0"}
{"id": "v3_test_id_00006403", "prompt": "What is (89 - (-34)) / (9 + 71)?", "solution_steps": ["Subtract: 89 - (-34) = 123", "Add: 9 + 71 = 80", "Divide: 123 / 80 = 123/80"], "final_answer": "123/80", "answer_type": "rational", "kind": "expression", "math_text": "(89 - (-34)) / (9 + 71)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 89, \"b\": -34, \"c\": 9, \"d\": 71}", "seed": "15825055753637352083", "semantic_fingerprint": "sha256:5fa76e1b5c8cb6b3d434e7d5bf548b9e1f803102f4a788b35048ffd2872575df", "generator_version": "3.0"}
{"id": "v3_test_id_00006404", "prompt": "Calculate: -3 + (94 - 751) + (5 + (-8))", "solution_steps": ["Subtract: 94 - 751 = -657", "Add: -3 + (-657) = -660", "Add: 5 + (-8) = -3", "Add: -660 + (-3) = -663"], "final_answer": "-663", "answer_type": "integer", "kind": "expression", "math_text": "-3 + (94 - 751) + (5 + (-8))", "variable": null, "family": "expression_4op", "shape": "(+ (+ n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 94, \"c\": 751, \"d\": 5, \"e\": -8}", "seed": "14719494853638509999", "semantic_fingerprint": "sha256:902b9f5c426cbfb0e6f4638389a35f3d4eab6f7733509312bf07cbcbfc6b62a6", "generator_version": "3.0"}
{"id": "v3_test_id_00006405", "prompt": "What is -854 + (-99)?", "solution_steps": ["Add: -854 + (-99) = -953"], "final_answer": "-953", "answer_type": "integer", "kind": "expression", "math_text": "-854 + (-99)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -854, \"b\": -99}", "seed": "9801055885860678097", "semantic_fingerprint": "sha256:b0af98662569c2e9731fb46199b37e900b34a53473eec656a863e5675db00d9b", "generator_version": "3.0"}
{"id": "v3_test_id_00006406", "prompt": "Calculate: -92 * 0", "solution_steps": ["Multiply: -92 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "-92 * 0", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": 0}", "seed": "14184880194240960027", "semantic_fingerprint": "sha256:17987932b60dc683b1a7617605e0b262ff4ed5b4ca4ed6542d5c22e41b32e9cc", "generator_version": "3.0"}
{"id": "v3_test_id_00006407", "prompt": "Find x: 7x + 437 = 6(x + 71)", "solution_steps": ["Expand: 7x + 437 = 6x + 426", "Subtract 6x from both sides: x + 437 = 426", "Subtract 437 from both sides: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 437 = 6(x + 71)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": 71, \"e\": 437, \"x\": -11}", "seed": "11522395879307442405", "semantic_fingerprint": "sha256:0fd61fce8d6ee547438f518eaf531acab2ccb6eb233bdd729b3bf88ba70f77eb", "generator_version": "3.0"}
{"id": "v3_test_id_00006408", "prompt": "Calculate: (-2 - (-2)) / (-77)", "solution_steps": ["Subtract: -2 - (-2) = 0", "Divide: 0 / (-77) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-2 - (-2)) / (-77)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -2, \"c\": -77}", "seed": "9636531435866888505", "semantic_fingerprint": "sha256:60a87b50df5d70a2fcab3d73eab5177ca9f659f0ae75c913e33c76e11a4fd430", "generator_version": "3.0"}
{"id": "v3_test_id_00006409", "prompt": "Compute: -79 + (-91)", "solution_steps": ["Add: -79 + (-91) = -170"], "final_answer": "-170", "answer_type": "integer", "kind": "expression", "math_text": "-79 + (-91)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": -91}", "seed": "4993755181265239917", "semantic_fingerprint": "sha256:731816961f27d3bab859e1fb787610d7fdd67b001e1e58e97c2bcc88df83ebf7", "generator_version": "3.0"}
{"id": "v3_test_id_00006410", "prompt": "Calculate: 12 + (-553 + 596) / (7 + (-35)) - (-507)", "solution_steps": ["Add: -553 + 596 = 43", "Add: 7 + (-35) = -28", "Divide: 43 / (-28) = -43/28", "Add: 12 + (-43/28) = 293/28", "Subtract: 293/28 - (-507) = 14489/28"], "final_answer": "14489/28", "answer_type": "rational", "kind": "expression", "math_text": "12 + (-553 + 596) / (7 + (-35)) - (-507)", "variable": null, "family": "expression_5op", "shape": "(- (+ n (/ (+ n n) (+ n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -553, \"c\": 596, \"d\": 7, \"e\": -35, \"f\": -507}", "seed": "7331279603040377510", "semantic_fingerprint": "sha256:67f96ead9b4e1d2dd0d03a09bddbc694e17dbb1ab59a1ebbbe3a43e116604fa5", "generator_version": "3.0"}
{"id": "v3_test_id_00006411", "prompt": "Solve for x: 6x = 10x + 44", "solution_steps": ["Subtract 10x from both sides: -4x = 44", "Divide both sides by -4: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x = 10x + 44", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 10, \"d\": 44, \"x\": -11}", "seed": "2113342288469232720", "semantic_fingerprint": "sha256:bf625029267a0cced2ad8969346a5e6e59ae700c02b3fd99185cd0aa85a1b1e6", "generator_version": "3.0"}
{"id": "v3_test_id_00006412", "prompt": "Solve for x: x = 7x + 66", "solution_steps": ["Subtract 7x from both sides: -6x = 66", "Divide both sides by -6: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 7x + 66", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"c\": 66, \"x\": -11}", "seed": "11117149413645628429", "semantic_fingerprint": "sha256:cc4b187655411f238d4653f47c7ddb0ebacc91a288d4e985783811f0f25f7895", "generator_version": "3.0"}
{"id": "v3_test_id_00006413", "prompt": "Evaluate: (3 + 32) / (-6 - (-3)) + (-56) * (-258)", "solution_steps": ["Add: 3 + 32 = 35", "Subtract: -6 - (-3) = -3", "Divide: 35 / (-3) = -35/3", "Multiply: -56 * (-258) = 14448", "Add: -35/3 + 14448 = 43309/3"], "final_answer": "43309/3", "answer_type": "rational", "kind": "expression", "math_text": "(3 + 32) / (-6 - (-3)) + (-56) * (-258)", "variable": null, "family": "expression_5op", "shape": "(+ (/ (+ n n) (- n n)) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 32, \"c\": -6, \"d\": -3, \"e\": -56, \"f\": -258}", "seed": "11495848936404145265", "semantic_fingerprint": "sha256:d14cb4a5fd8976bf840d519e05239f4d0bf401fcef55879f36e5dfc4af73683b", "generator_version": "3.0"}
{"id": "v3_test_id_00006414", "prompt": "Calculate: 7 - 21 - (6 - (-35 - 85) - 11)", "solution_steps": ["Subtract: 7 - 21 = -14", "Subtract: -35 - 85 = -120", "Subtract: 6 - (-120) = 126", "Subtract: 126 - 11 = 115", "Subtract: -14 - 115 = -129"], "final_answer": "-129", "answer_type": "integer", "kind": "expression", "math_text": "7 - 21 - (6 - (-35 - 85) - 11)", "variable": null, "family": "expression_5op", "shape": "(- (- n n) (- (- n (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 21, \"c\": 6, \"d\": -35, \"e\": 85, \"f\": 11}", "seed": "14015838728578545786", "semantic_fingerprint": "sha256:bd234e46cdf713393553f87981bf527194c09d8ed78334117a1dbd91ae95cfbb", "generator_version": "3.0"}
{"id": "v3_test_id_00006415", "prompt": "Compute: -403 - (33 + (92 + 2))", "solution_steps": ["Add: 92 + 2 = 94", "Add: 33 + 94 = 127", "Subtract: -403 - 127 = -530"], "final_answer": "-530", "answer_type": "integer", "kind": "expression", "math_text": "-403 - (33 + (92 + 2))", "variable": null, "family": "expression_3op", "shape": "(- n (+ n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -403, \"b\": 33, \"c\": 92, \"d\": 2}", "seed": "973799223467320865", "semantic_fingerprint": "sha256:843144f61130af7262b3ef8a8dab88b02dd3bf586f905de9a173b7a48742ff30", "generator_version": "3.0"}
{"id": "v3_test_id_00006416", "prompt": "What is -382 / (-40)?", "solution_steps": ["Divide: -382 / (-40) = 191/20"], "final_answer": "191/20", "answer_type": "rational", "kind": "expression", "math_text": "-382 / (-40)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -382, \"b\": -40}", "seed": "14979108393555602879", "semantic_fingerprint": "sha256:d260482a08510f6ef5d5b5e31aff0168d95ac908664067ec92aa9835f6541238", "generator_version": "3.0"}
{"id": "v3_test_id_00006417", "prompt": "Evaluate: -77 / 39", "solution_steps": ["Divide: -77 / 39 = -77/39"], "final_answer": "-77/39", "answer_type": "rational", "kind": "expression", "math_text": "-77 / 39", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -77, \"b\": 39}", "seed": "14325868658712976317", "semantic_fingerprint": "sha256:3083c505f4ddc23e59bed26075ba5e60e5e97e86a4ea40a6a396f9bad53d3873", "generator_version": "3.0"}
{"id": "v3_test_id_00006418", "prompt": "Calculate: 86 - (-29) - 900", "solution_steps": ["Subtract: 86 - (-29) = 115", "Subtract: 115 - 900 = -785"], "final_answer": "-785", "answer_type": "integer", "kind": "expression", "math_text": "86 - (-29) - 900", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": -29, \"c\": 900}", "seed": "16503399038433576812", "semantic_fingerprint": "sha256:9150864d0c40640242ebe2e63e97ca2254183a8d0105ff3b8d1abcc6ffa05a47", "generator_version": "3.0"}
{"id": "v3_test_id_00006419", "prompt": "Compute: (6 + 33) / (-45 * (-1 - 161))", "solution_steps": ["Add: 6 + 33 = 39", "Subtract: -1 - 161 = -162", "Multiply: -45 * (-162) = 7290", "Divide: 39 / 7290 = 13/2430"], "final_answer": "13/2430", "answer_type": "rational", "kind": "expression", "math_text": "(6 + 33) / (-45 * (-1 - 161))", "variable": null, "family": "expression_4op", "shape": "(/ (+ n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 33, \"c\": -45, \"d\": -1, \"e\": 161}", "seed": "12240436539215498659", "semantic_fingerprint": "sha256:651602125f19844adf1c4ed5ab4b21d8a9dc6c2d59e6fac42b7278bef36bcc42", "generator_version": "3.0"}
{"id": "v3_test_id_00006420", "prompt": "Evaluate: -88 * (-6 / 4)", "solution_steps": ["Divide: -6 / 4 = -3/2", "Multiply: -88 * (-3/2) = 132"], "final_answer": "132", "answer_type": "integer", "kind": "expression", "math_text": "-88 * (-6 / 4)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -88, \"b\": -6, \"c\": 4}", "seed": "4000099625764440050", "semantic_fingerprint": "sha256:6bbc930b9dc22534a67e24bddc29c022b4cfd4569d252ce5ea3756df5821c855", "generator_version": "3.0"}
{"id": "v3_test_id_00006421", "prompt": "Find x: x + 60 = 11(x + 1) - 141", "solution_steps": ["Expand: x + 60 = 11x + 11 - 141", "Combine constants: x + 60 = 11x - 130", "Subtract 11x from both sides: -10x + 60 = -130", "Subtract 60 from both sides: -10x = -190", "Divide both sides by -10: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 60 = 11(x + 1) - 141", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": 11, \"c\": 1, \"e\": -141, \"x\": 19}", "seed": "14189515791340562604", "semantic_fingerprint": "sha256:e25aee0eeaabb340c30927306af28e9ca1317dc83ed255722e76f9d02b963831", "generator_version": "3.0"}
{"id": "v3_test_id_00006422", "prompt": "Solve the equation 4(x + 9) - 706 = x for x.", "solution_steps": ["Expand: 4x + 36 - 706 = x", "Combine constants: 4x - 670 = x", "Subtract x from both sides: 3x - 670 = 0", "Add 670 to both sides: 3x = 670", "Divide both sides by 3: x = 670/3"], "final_answer": "670/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x + 9) - 706 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 9, \"c\": 706}", "seed": "16392248376144366255", "semantic_fingerprint": "sha256:182067dbfcd9f71b3b31597feb50467b42cde41782bb30fbfb9029478e24a6a2", "generator_version": "3.0"}
{"id": "v3_test_id_00006423", "prompt": "Compute: (6 - (-65)) * 95", "solution_steps": ["Subtract: 6 - (-65) = 71", "Multiply: 71 * 95 = 6745"], "final_answer": "6745", "answer_type": "integer", "kind": "expression", "math_text": "(6 - (-65)) * 95", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -65, \"c\": 95}", "seed": "14225063439754422642", "semantic_fingerprint": "sha256:e7f781fb1669997fbe5efe3a8a8b71c7140f236726a0f3dc34eae0425cfc9845", "generator_version": "3.0"}
{"id": "v3_test_id_00006424", "prompt": "Compute: 8 + (-667) * (-2)", "solution_steps": ["Multiply: -667 * (-2) = 1334", "Add: 8 + 1334 = 1342"], "final_answer": "1342", "answer_type": "integer", "kind": "expression", "math_text": "8 + (-667) * (-2)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -667, \"c\": -2}", "seed": "7939618602280467897", "semantic_fingerprint": "sha256:78a0ae55d030c9dd8b673f4f7d7ed41d6c011d04964daf7588c41b11e5dcf21c", "generator_version": "3.0"}
{"id": "v3_test_id_00006425", "prompt": "Calculate: 6 - (1 - (-7)) / (-6 / (-92))", "solution_steps": ["Subtract: 1 - (-7) = 8", "Divide: -6 / (-92) = 3/46", "Divide: 8 / (3/46) = 368/3", "Subtract: 6 - 368/3 = -350/3"], "final_answer": "-350/3", "answer_type": "rational", "kind": "expression", "math_text": "6 - (1 - (-7)) / (-6 / (-92))", "variable": null, "family": "expression_4op", "shape": "(- n (/ (- n n) (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 1, \"c\": -7, \"d\": -6, \"e\": -92}", "seed": "2952486062324092236", "semantic_fingerprint": "sha256:349c4592b2f1801ffc941d291dcf1ffe96bef3e9a24713c47a060b28e8252b17", "generator_version": "3.0"}
{"id": "v3_test_id_00006426", "prompt": "Solve for x: x + 594 = 8(x - 3) + 499", "solution_steps": ["Expand: x + 594 = 8x - 24 + 499", "Combine constants: x + 594 = 8x + 475", "Subtract 8x from both sides: -7x + 594 = 475", "Subtract 594 from both sides: -7x = -119", "Divide both sides by -7: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 594 = 8(x - 3) + 499", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 594, \"b\": 8, \"c\": 3, \"e\": 499, \"x\": 17}", "seed": "6015646931498938635", "semantic_fingerprint": "sha256:043439ad073eefb016395183a24710d7af320a2fe75e37c2ccd7b21d9eba2e61", "generator_version": "3.0"}
{"id": "v3_test_id_00006427", "prompt": "Calculate: (929 + 2) / (86 - 807)", "solution_steps": ["Add: 929 + 2 = 931", "Subtract: 86 - 807 = -721", "Divide: 931 / (-721) = -133/103"], "final_answer": "-133/103", "answer_type": "rational", "kind": "expression", "math_text": "(929 + 2) / (86 - 807)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 929, \"b\": 2, \"c\": 86, \"d\": 807}", "seed": "6537757963832088774", "semantic_fingerprint": "sha256:65760aa38d29d6571419b6ebbd71bb97482f082bd6542e776ed5467129be0a09", "generator_version": "3.0"}
{"id": "v3_test_id_00006428", "prompt": "Solve the equation 9(x + 1) = 4x - 21 for x.", "solution_steps": ["Expand: 9x + 9 = 4x - 21", "Subtract 4x from both sides: 5x + 9 = -21", "Subtract 9 from both sides: 5x = -30", "Divide both sides by 5: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 1) = 4x - 21", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 1, \"c\": 4, \"e\": -21, \"x\": -6}", "seed": "14540316058086948086", "semantic_fingerprint": "sha256:f3e5cc4ae192312943c8d0e24bbcd2ad274930c13fa4365ffd9a0a5582b0e249", "generator_version": "3.0"}
{"id": "v3_test_id_00006429", "prompt": "Calculate: 14 + 9", "solution_steps": ["Add: 14 + 9 = 23"], "final_answer": "23", "answer_type": "integer", "kind": "expression", "math_text": "14 + 9", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 9}", "seed": "11181774022697479542", "semantic_fingerprint": "sha256:1cc4f52b174627e1b9b831b7389c1b41458cc3d24b8b4ea9ac301159d2f9ab59", "generator_version": "3.0"}
{"id": "v3_test_id_00006430", "prompt": "What is 58 / 892?", "solution_steps": ["Divide: 58 / 892 = 29/446"], "final_answer": "29/446", "answer_type": "rational", "kind": "expression", "math_text": "58 / 892", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": 892}", "seed": "14783295269824741545", "semantic_fingerprint": "sha256:551a1e76dd0fcb9068e252b0972459074db6c33bf590b4b80e38d6fb8ae9e17e", "generator_version": "3.0"}
{"id": "v3_test_id_00006431", "prompt": "What value of x satisfies x - 23 = -8x - 50?", "solution_steps": ["Add 8x to both sides: 9x - 23 = -50", "Add 23 to both sides: 9x = -27", "Divide both sides by 9: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 23 = -8x - 50", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": -8, \"d\": -50, \"x\": -3}", "seed": "1805824069974827994", "semantic_fingerprint": "sha256:d8903c806661083684826fc564583a210c109548a90ae73a8f36989e8b038ec3", "generator_version": "3.0"}
{"id": "v3_test_id_00006432", "prompt": "Compute: 9 / 7 * 900", "solution_steps": ["Divide: 9 / 7 = 9/7", "Multiply: (9/7) * 900 = 8100/7"], "final_answer": "8100/7", "answer_type": "rational", "kind": "expression", "math_text": "9 / 7 * 900", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": 900}", "seed": "11505714256753402887", "semantic_fingerprint": "sha256:c096d2588eb1bd15140647728aa913517b505cfe2e6bb729e3075ba71f6c7fb4", "generator_version": "3.0"}
{"id": "v3_test_id_00006433", "prompt": "Compute: 2 + (16 - 4)", "solution_steps": ["Subtract: 16 - 4 = 12", "Add: 2 + 12 = 14"], "final_answer": "14", "answer_type": "integer", "kind": "expression", "math_text": "2 + (16 - 4)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 16, \"c\": 4}", "seed": "3135966499613351974", "semantic_fingerprint": "sha256:73234acb96c79cb08329379b1d6edf7a2066df287c3fe750dfed57e72258d332", "generator_version": "3.0"}
{"id": "v3_test_id_00006434", "prompt": "Evaluate: 290 + (-3) / (-1)", "solution_steps": ["Divide: -3 / (-1) = 3", "Add: 290 + 3 = 293"], "final_answer": "293", "answer_type": "integer", "kind": "expression", "math_text": "290 + (-3) / (-1)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 290, \"b\": -3, \"c\": -1}", "seed": "24023400984474714", "semantic_fingerprint": "sha256:f7102217195ea05c272ec18503b60f82424de57e5ee6d0e0334808fa833ab8f4", "generator_version": "3.0"}
{"id": "v3_test_id_00006435", "prompt": "Evaluate: 47 * (-1) + (-9) - (-44) * 994 / (-45)", "solution_steps": ["Multiply: 47 * (-1) = -47", "Add: -47 + (-9) = -56", "Multiply: -44 * 994 = -43736", "Divide: -43736 / (-45) = 43736/45", "Subtract: -56 - 43736/45 = -46256/45"], "final_answer": "-46256/45", "answer_type": "rational", "kind": "expression", "math_text": "47 * (-1) + (-9) - (-44) * 994 / (-45)", "variable": null, "family": "expression_5op", "shape": "(- (+ (* n n) n) (/ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": -1, \"c\": -9, \"d\": -44, \"e\": 994, \"f\": -45}", "seed": "920342539918165121", "semantic_fingerprint": "sha256:bf406c0d8083adc689cf76446b55b5307fc138f4d415f08860d5ed76983a5b89", "generator_version": "3.0"}
{"id": "v3_test_id_00006436", "prompt": "Calculate: -73 * (-2) + (3 - 17) * 930", "solution_steps": ["Multiply: -73 * (-2) = 146", "Subtract: 3 - 17 = -14", "Multiply: -14 * 930 = -13020", "Add: 146 + (-13020) = -12874"], "final_answer": "-12874", "answer_type": "integer", "kind": "expression", "math_text": "-73 * (-2) + (3 - 17) * 930", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* (- n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": -2, \"c\": 3, \"d\": 17, \"e\": 930}", "seed": "2548565934164851359", "semantic_fingerprint": "sha256:9232e1d6ef58bd8403860e33e4bd022fe5ec3232b3608d89d8f90013ebdd067c", "generator_version": "3.0"}
{"id": "v3_test_id_00006437", "prompt": "Evaluate: 69 / 225 / (-8) / (-6)", "solution_steps": ["Divide: 69 / 225 = 23/75", "Divide: (23/75) / (-8) = -23/600", "Divide: (-23/600) / (-6) = 23/3600"], "final_answer": "23/3600", "answer_type": "rational", "kind": "expression", "math_text": "69 / 225 / (-8) / (-6)", "variable": null, "family": "expression_3op", "shape": "(/ (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": 225, \"c\": -8, \"d\": -6}", "seed": "4021092143307018032", "semantic_fingerprint": "sha256:1ce5ee35cde1ff5773dc7d279bcdb79c497aecc20bad4497376884d3bd47b385", "generator_version": "3.0"}
{"id": "v3_test_id_00006438", "prompt": "Find x: 5x + 1 = x", "solution_steps": ["Subtract x from both sides: 4x + 1 = 0", "Subtract 1 from both sides: 4x = -1", "Divide both sides by 4: x = -1/4"], "final_answer": "-1/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "5x + 1 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 1}", "seed": "6349582875019374160", "semantic_fingerprint": "sha256:7331e4904e99ebd997ca204e6defede5a94a30b7d359e8cf698943d68f35a9fd", "generator_version": "3.0"}
{"id": "v3_test_id_00006439", "prompt": "Compute: -7 - (-3) - (-54 + (-951 + 78))", "solution_steps": ["Subtract: -7 - (-3) = -4", "Add: -951 + 78 = -873", "Add: -54 + (-873) = -927", "Subtract: -4 - (-927) = 923"], "final_answer": "923", "answer_type": "integer", "kind": "expression", "math_text": "-7 - (-3) - (-54 + (-951 + 78))", "variable": null, "family": "expression_4op", "shape": "(- (- n n) (+ n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -3, \"c\": -54, \"d\": -951, \"e\": 78}", "seed": "9644359967666280135", "semantic_fingerprint": "sha256:28c864d93928bf579ae3e2312a80a7f92cfd42c9d311ff10bdda7ac1ab3945fa", "generator_version": "3.0"}
{"id": "v3_test_id_00006440", "prompt": "Calculate: 402 + (-107 + 9)", "solution_steps": ["Add: -107 + 9 = -98", "Add: 402 + (-98) = 304"], "final_answer": "304", "answer_type": "integer", "kind": "expression", "math_text": "402 + (-107 + 9)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 402, \"b\": -107, \"c\": 9}", "seed": "15225704878034507196", "semantic_fingerprint": "sha256:9052f5042717f1afbf9aff663032e7e8b50fc0124181138bf7c8cf85cf36e484", "generator_version": "3.0"}
{"id": "v3_test_id_00006441", "prompt": "Find x: 7x + 52 = 3x", "solution_steps": ["Subtract 3x from both sides: 4x + 52 = 0", "Subtract 52 from both sides: 4x = -52", "Divide both sides by 4: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x + 52 = 3x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 3, \"d\": 52, \"x\": -13}", "seed": "9923028050838468001", "semantic_fingerprint": "sha256:657f22dc135749894ee9fa9cc2da66243c3c0d596be7ff729e9dd8d4b1a7600e", "generator_version": "3.0"}
{"id": "v3_test_id_00006442", "prompt": "Evaluate: (-29 + (-59)) * (-92 - 85)", "solution_steps": ["Add: -29 + (-59) = -88", "Subtract: -92 - 85 = -177", "Multiply: -88 * (-177) = 15576"], "final_answer": "15576", "answer_type": "integer", "kind": "expression", "math_text": "(-29 + (-59)) * (-92 - 85)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": -59, \"c\": -92, \"d\": 85}", "seed": "13499825935528974763", "semantic_fingerprint": "sha256:7647053c47a3705671b01d8fa065ca561381b7c0f05484b778cd9711d9e21bf6", "generator_version": "3.0"}
{"id": "v3_test_id_00006443", "prompt": "Compute: -917 / 21", "solution_steps": ["Divide: -917 / 21 = -131/3"], "final_answer": "-131/3", "answer_type": "rational", "kind": "expression", "math_text": "-917 / 21", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -917, \"b\": 21}", "seed": "1792382739926494915", "semantic_fingerprint": "sha256:80635a2a77caecf224dbae22c59a97fac4240f3e954dc94012de4d17742a8939", "generator_version": "3.0"}
{"id": "v3_test_id_00006444", "prompt": "Compute: -4 / (7 / (-8) + (15 + 71))", "solution_steps": ["Divide: 7 / (-8) = -7/8", "Add: 15 + 71 = 86", "Add: -7/8 + 86 = 681/8", "Divide: -4 / (681/8) = -32/681"], "final_answer": "-32/681", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (7 / (-8) + (15 + 71))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (/ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 7, \"c\": -8, \"d\": 15, \"e\": 71}", "seed": "11141897358704275920", "semantic_fingerprint": "sha256:3ed6be10c830969e6cf285c0bce9a3cd498ff6c187c2a66f3df1df9cdf576993", "generator_version": "3.0"}
{"id": "v3_test_id_00006445", "prompt": "What is 61 * (-697) - (79 + 68)?", "solution_steps": ["Multiply: 61 * (-697) = -42517", "Add: 79 + 68 = 147", "Subtract: -42517 - 147 = -42664"], "final_answer": "-42664", "answer_type": "integer", "kind": "expression", "math_text": "61 * (-697) - (79 + 68)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 61, \"b\": -697, \"c\": 79, \"d\": 68}", "seed": "7048852788257081083", "semantic_fingerprint": "sha256:f502b77f009fd4c38b1852136fa2b10d6db92c10af3325b2f8af13abfe63be65", "generator_version": "3.0"}
{"id": "v3_test_id_00006446", "prompt": "Find x: 11x - 119 = -6x", "solution_steps": ["Add 6x to both sides: 17x - 119 = 0", "Add 119 to both sides: 17x = 119", "Divide both sides by 17: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 119 = -6x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -6, \"d\": -119, \"x\": 7}", "seed": "8865396786815389480", "semantic_fingerprint": "sha256:8797a4d2b383c088ab737266d87696253285b9695196ad8bfc3690356e23cf73", "generator_version": "3.0"}
{"id": "v3_test_id_00006447", "prompt": "Evaluate: -7 + (-986) - (-15 - (-97))", "solution_steps": ["Add: -7 + (-986) = -993", "Subtract: -15 - (-97) = 82", "Subtract: -993 - 82 = -1075"], "final_answer": "-1075", "answer_type": "integer", "kind": "expression", "math_text": "-7 + (-986) - (-15 - (-97))", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -986, \"c\": -15, \"d\": -97}", "seed": "17621946460015284994", "semantic_fingerprint": "sha256:6a97ef50dc258e34d4f7be19d34a6575d75f26094a74ca4c51e85c0e557b83e1", "generator_version": "3.0"}
{"id": "v3_test_id_00006448", "prompt": "Solve for x: x - 83 = 80", "solution_steps": ["Add 83 to both sides: x = 163"], "final_answer": "163", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 83 = 80", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 80}", "seed": "425649316001950847", "semantic_fingerprint": "sha256:69dd82006efec4727ba719eb75d468c8df127621530ee14ec7f6080ab0e9244e", "generator_version": "3.0"}
{"id": "v3_test_id_00006449", "prompt": "Evaluate: -45 + (-12) / 7 / 19 / (-45)", "solution_steps": ["Divide: -12 / 7 = -12/7", "Divide: (-12/7) / 19 = -12/133", "Divide: (-12/133) / (-45) = 4/1995", "Add: -45 + 4/1995 = -89771/1995"], "final_answer": "-89771/1995", "answer_type": "rational", "kind": "expression", "math_text": "-45 + (-12) / 7 / 19 / (-45)", "variable": null, "family": "expression_4op", "shape": "(+ n (/ (/ (/ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": -12, \"c\": 7, \"d\": 19, \"e\": -45}", "seed": "3673009076225914041", "semantic_fingerprint": "sha256:0f0e3f4956326d22280aa85046d88955623f1d1e21f549461e26ce683cad1894", "generator_version": "3.0"}
{"id": "v3_test_id_00006450", "prompt": "Evaluate: 639 + (9 + 10)", "solution_steps": ["Add: 9 + 10 = 19", "Add: 639 + 19 = 658"], "final_answer": "658", "answer_type": "integer", "kind": "expression", "math_text": "639 + (9 + 10)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 639, \"b\": 9, \"c\": 10}", "seed": "2294499216393215321", "semantic_fingerprint": "sha256:d6d912825d4f9bbed92f5aafbdda289de6f0134dbeabfbedd6f5c49ebf2be41b", "generator_version": "3.0"}
{"id": "v3_test_id_00006451", "prompt": "What is 31 / 64?", "solution_steps": ["Divide: 31 / 64 = 31/64"], "final_answer": "31/64", "answer_type": "rational", "kind": "expression", "math_text": "31 / 64", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 31, \"b\": 64}", "seed": "5981069402537446220", "semantic_fingerprint": "sha256:0eb9fa8aef76f26b46e994d9ee9304446d474a0e79d7c969dbec2ff5293439cf", "generator_version": "3.0"}
{"id": "v3_test_id_00006452", "prompt": "Solve the equation 5(x + 3) + 733 = 4(x - 977) - 2 for x.", "solution_steps": ["Expand: 5x + 15 + 733 = 4(x - 977) - 2", "Expand: 5x + 15 + 733 = 4x - 3908 - 2", "Combine constants: 5x + 748 = 4x - 3908 - 2", "Combine constants: 5x + 748 = 4x - 3910", "Subtract 4x from both sides: x + 748 = -3910", "Subtract 748 from both sides: x = -4658"], "final_answer": "-4658", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 3) + 733 = 4(x - 977) - 2", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 3, \"c\": 733, \"d\": 4, \"e\": 977, \"f\": 2}", "seed": "4354105991811773090", "semantic_fingerprint": "sha256:8545ed0646f58f98c229051e2fabc9941f3200c07c8854e94f678e0723759fb0", "generator_version": "3.0"}
{"id": "v3_test_id_00006453", "prompt": "Evaluate: (-224 - (-8)) * (-571 + (-489))", "solution_steps": ["Subtract: -224 - (-8) = -216", "Add: -571 + (-489) = -1060", "Multiply: -216 * (-1060) = 228960"], "final_answer": "228960", "answer_type": "integer", "kind": "expression", "math_text": "(-224 - (-8)) * (-571 + (-489))", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -224, \"b\": -8, \"c\": -571, \"d\": -489}", "seed": "10211109004712159596", "semantic_fingerprint": "sha256:29a92c2aab0b19e59c551aaa7240ba034d1d3bef95f888c9ce044c5f1e7a15c4", "generator_version": "3.0"}
{"id": "v3_test_id_00006454", "prompt": "Calculate: 5 * (-9) / (980 / (-592 / 36) / (-85))", "solution_steps": ["Multiply: 5 * (-9) = -45", "Divide: -592 / 36 = -148/9", "Divide: 980 / (-148/9) = -2205/37", "Divide: (-2205/37) / (-85) = 441/629", "Divide: -45 / (441/629) = -3145/49"], "final_answer": "-3145/49", "answer_type": "rational", "kind": "expression", "math_text": "5 * (-9) / (980 / (-592 / 36) / (-85))", "variable": null, "family": "expression_5op", "shape": "(/ (* n n) (/ (/ n (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": -9, \"c\": 980, \"d\": -592, \"e\": 36, \"f\": -85}", "seed": "497836558733707792", "semantic_fingerprint": "sha256:a5cfdf4d67ef2486f46078d56c9fc711de8d91ea780ba8a90f478c619c176aa3", "generator_version": "3.0"}
{"id": "v3_test_id_00006455", "prompt": "Evaluate: -36 / ((-89 + (-15)) * 4) / 31", "solution_steps": ["Add: -89 + (-15) = -104", "Multiply: -104 * 4 = -416", "Divide: -36 / (-416) = 9/104", "Divide: (9/104) / 31 = 9/3224"], "final_answer": "9/3224", "answer_type": "rational", "kind": "expression", "math_text": "-36 / ((-89 + (-15)) * 4) / 31", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (* (+ n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": -89, \"c\": -15, \"d\": 4, \"e\": 31}", "seed": "8973937266051927710", "semantic_fingerprint": "sha256:6ad5db8217eb5dd836241a99b980be1a165590dda18b2438b3222cbe1f0b0cf2", "generator_version": "3.0"}
{"id": "v3_test_id_00006456", "prompt": "What is -7 / (-368 * 8)?", "solution_steps": ["Multiply: -368 * 8 = -2944", "Divide: -7 / (-2944) = 7/2944"], "final_answer": "7/2944", "answer_type": "rational", "kind": "expression", "math_text": "-7 / (-368 * 8)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -368, \"c\": 8}", "seed": "12616689361600843326", "semantic_fingerprint": "sha256:52aa378f4b3b923f92f7f16e1ebeb5e340a55102ec27b20e7514fdcefe12c093", "generator_version": "3.0"}
{"id": "v3_test_id_00006457", "prompt": "Calculate: 21 - 94 + (-3)", "solution_steps": ["Subtract: 21 - 94 = -73", "Add: -73 + (-3) = -76"], "final_answer": "-76", "answer_type": "integer", "kind": "expression", "math_text": "21 - 94 + (-3)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": 94, \"c\": -3}", "seed": "17725698251413824926", "semantic_fingerprint": "sha256:9980388e84a3d4f3523ce4b8dbfb753125008a8cddd580a0c64c1d1f56eb14d4", "generator_version": "3.0"}
{"id": "v3_test_id_00006458", "prompt": "What is 216 / 16 / (6 - 0)?", "solution_steps": ["Divide: 216 / 16 = 27/2", "Subtract: 6 - 0 = 6", "Divide: (27/2) / 6 = 9/4"], "final_answer": "9/4", "answer_type": "rational", "kind": "expression", "math_text": "216 / 16 / (6 - 0)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 216, \"b\": 16, \"c\": 6, \"d\": 0}", "seed": "15796867692413864929", "semantic_fingerprint": "sha256:84f216afd139cd3e7c1b3cf9d17a65bcb9a7049538a83661b3842fbc90f5c1db", "generator_version": "3.0"}
{"id": "v3_test_id_00006459", "prompt": "What is 3 * 26?", "solution_steps": ["Multiply: 3 * 26 = 78"], "final_answer": "78", "answer_type": "integer", "kind": "expression", "math_text": "3 * 26", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 26}", "seed": "9429296469877137139", "semantic_fingerprint": "sha256:901254fb378ac5927f9a3ef10b34fed761fc70225fd6aba4f4b173a925f40af6", "generator_version": "3.0"}
{"id": "v3_test_id_00006460", "prompt": "Find x: x = 11(x + 51) - 441", "solution_steps": ["Expand: x = 11x + 561 - 441", "Combine constants: x = 11x + 120", "Subtract 11x from both sides: -10x = 120", "Divide both sides by -10: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 11(x + 51) - 441", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 51, \"d\": -441, \"x\": -12}", "seed": "17056793710933893333", "semantic_fingerprint": "sha256:c37399dbcdf13f19c0f7821a39f1df3b8904147b11466bce40094c16c33b152a", "generator_version": "3.0"}
{"id": "v3_test_id_00006461", "prompt": "What value of x satisfies 12x + 8 = x - 25?", "solution_steps": ["Subtract x from both sides: 11x + 8 = -25", "Subtract 8 from both sides: 11x = -33", "Divide both sides by 11: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 8 = x - 25", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 8, \"d\": -25, \"x\": -3}", "seed": "10310867816960446099", "semantic_fingerprint": "sha256:0244c0f6d70f2fff3d400378e5906d6a2f514dd86733639c75fc72220f9fca93", "generator_version": "3.0"}
{"id": "v3_test_id_00006462", "prompt": "Solve for x: x + 67 = 12(x - 49) + 435", "solution_steps": ["Expand: x + 67 = 12x - 588 + 435", "Combine constants: x + 67 = 12x - 153", "Subtract 12x from both sides: -11x + 67 = -153", "Subtract 67 from both sides: -11x = -220", "Divide both sides by -11: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 67 = 12(x - 49) + 435", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": 12, \"c\": 49, \"e\": 435, \"x\": 20}", "seed": "4035224147711233719", "semantic_fingerprint": "sha256:fe517fc956e2bfa2ce9a341b606eb5284bb0818d166dc51ee1300b9309c99cc4", "generator_version": "3.0"}
{"id": "v3_test_id_00006463", "prompt": "What is -36 / (-6) + (-836)?", "solution_steps": ["Divide: -36 / (-6) = 6", "Add: 6 + (-836) = -830"], "final_answer": "-830", "answer_type": "integer", "kind": "expression", "math_text": "-36 / (-6) + (-836)", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -36, \"b\": -6, \"c\": -836}", "seed": "3265376531962659443", "semantic_fingerprint": "sha256:41347bc6c5580eaee0fb4bb5690c413fe742efd433603315ffc043cf863fbf2a", "generator_version": "3.0"}
{"id": "v3_test_id_00006464", "prompt": "What value of x satisfies -5(x + 76) = x - 302?", "solution_steps": ["Expand: -5x - 380 = x - 302", "Subtract x from both sides: -6x - 380 = -302", "Add 380 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 + 76) = x - 302", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 76, \"d\": -302, \"x\": -13}", "seed": "1254115600436948617", "semantic_fingerprint": "sha256:1c90c4f9421d997fc0bdb63d99d2344d84b8e64746f1e83be3562f4939d7d648", "generator_version": "3.0"}
{"id": "v3_test_id_00006465", "prompt": "Solve the equation -8x + 135 = x for x.", "solution_steps": ["Subtract x from both sides: -9x + 135 = 0", "Subtract 135 from both sides: -9x = -135", "Divide both sides by -9: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x + 135 = x", "variable": "x", "family": "linear_equation", "shape": "kx+c=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"c\": 135, \"x\": 15}", "seed": "4059131773962493029", "semantic_fingerprint": "sha256:ef6694baf0b7848c5c7f5775ed6f1eaaf1134f452c4882b295b6069d8ddca570", "generator_version": "3.0"}
{"id": "v3_test_id_00006466", "prompt": "Solve for x: -11(x - 789) = 5x", "solution_steps": ["Expand: -11x + 8679 = 5x", "Subtract 5x from both sides: -16x + 8679 = 0", "Subtract 8679 from both sides: -16x = -8679", "Divide both sides by -16: x = 8679/16"], "final_answer": "8679/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "-11(x - 789) = 5x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 789, \"c\": 5}", "seed": "4488136521286128462", "semantic_fingerprint": "sha256:76417087007da13b9011d406953a96667dabb19713137e276c0c98af95d830f4", "generator_version": "3.0"}
{"id": "v3_test_id_00006467", "prompt": "Calculate: 265 * 0", "solution_steps": ["Multiply: 265 * 0 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "265 * 0", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 265, \"b\": 0}", "seed": "14960341219261834281", "semantic_fingerprint": "sha256:2a733e1000ba2b7d83b362a8ec1f5cced507379bb43d4829bcc96f7fdb314f7f", "generator_version": "3.0"}
{"id": "v3_test_id_00006468", "prompt": "Solve the equation -3(x - 33) - 5 = 2(x - 5) + 64 for x.", "solution_steps": ["Expand: -3x + 99 - 5 = 2(x - 5) + 64", "Expand: -3x + 99 - 5 = 2x - 10 + 64", "Combine constants: -3x + 94 = 2x - 10 + 64", "Combine constants: -3x + 94 = 2x + 54", "Subtract 2x from both sides: -5x + 94 = 54", "Subtract 94 from both sides: -5x = -40", "Divide both sides by -5: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 33) - 5 = 2(x - 5) + 64", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 33, \"c\": 5, \"d\": 2, \"e\": 5, \"g\": 64, \"x\": 8}", "seed": "13151815877709926994", "semantic_fingerprint": "sha256:fc1fec60c52d94feb3903ac32a2d71c524fbe813ef9a627483c8eb8f5e745a9c", "generator_version": "3.0"}
{"id": "v3_test_id_00006469", "prompt": "What value of x satisfies x + 73 = 3x + 35?", "solution_steps": ["Subtract 3x from both sides: -2x + 73 = 35", "Subtract 73 from both sides: -2x = -38", "Divide both sides by -2: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 73 = 3x + 35", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 3, \"d\": 35, \"x\": 19}", "seed": "5176182832976239912", "semantic_fingerprint": "sha256:563b45291dfeb07442ea101c2bde15aed019e54d0380e8781692e8d8b008b520", "generator_version": "3.0"}
{"id": "v3_test_id_00006470", "prompt": "What value of x satisfies x - 646 = 2(x + 66)?", "solution_steps": ["Expand: x - 646 = 2x + 132", "Subtract 2x from both sides: -x - 646 = 132", "Add 646 to both sides: -x = 778", "Divide both sides by -1: x = -778"], "final_answer": "-778", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 646 = 2(x + 66)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 646, \"b\": 2, \"c\": 66}", "seed": "16096586667021506200", "semantic_fingerprint": "sha256:c32f5ffbda5493e3f53f623ad6f9ee6d8c65c47f89f712d19079d2d36547ae8a", "generator_version": "3.0"}
{"id": "v3_test_id_00006471", "prompt": "Evaluate: 0 + (-753) - (57 - 20)", "solution_steps": ["Add: 0 + (-753) = -753", "Subtract: 57 - 20 = 37", "Subtract: -753 - 37 = -790"], "final_answer": "-790", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-753) - (57 - 20)", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -753, \"c\": 57, \"d\": 20}", "seed": "5006771128177623208", "semantic_fingerprint": "sha256:fdbf120709b788b88303188b25c32400b34ae387cb0bad2bb10f964a203cbd0b", "generator_version": "3.0"}
{"id": "v3_test_id_00006472", "prompt": "Calculate: -98 - 0 + (-840)", "solution_steps": ["Subtract: -98 - 0 = -98", "Add: -98 + (-840) = -938"], "final_answer": "-938", "answer_type": "integer", "kind": "expression", "math_text": "-98 - 0 + (-840)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -98, \"b\": 0, \"c\": -840}", "seed": "14786992861254355893", "semantic_fingerprint": "sha256:81b1c31636d648b85eaa83bc79a209dedde2e93ef9b52253ddbf79d5a314caa9", "generator_version": "3.0"}
{"id": "v3_test_id_00006473", "prompt": "What is (86 - 53) / (-98 - (-21 + (-1)))?", "solution_steps": ["Subtract: 86 - 53 = 33", "Add: -21 + (-1) = -22", "Subtract: -98 - (-22) = -76", "Divide: 33 / (-76) = -33/76"], "final_answer": "-33/76", "answer_type": "rational", "kind": "expression", "math_text": "(86 - 53) / (-98 - (-21 + (-1)))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": 53, \"c\": -98, \"d\": -21, \"e\": -1}", "seed": "1294749434488583844", "semantic_fingerprint": "sha256:2f4a9fbc0be09b26363852d9fbb5f1a839cd740d7fac43881832294c176692a6", "generator_version": "3.0"}
{"id": "v3_test_id_00006474", "prompt": "Evaluate: -3 - (493 + 32)", "solution_steps": ["Add: 493 + 32 = 525", "Subtract: -3 - 525 = -528"], "final_answer": "-528", "answer_type": "integer", "kind": "expression", "math_text": "-3 - (493 + 32)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 493, \"c\": 32}", "seed": "16607573393480732709", "semantic_fingerprint": "sha256:9272a280fc4af0fbf1caeb455dbbed9e870214acae57085eff6d00d006641d15", "generator_version": "3.0"}
{"id": "v3_test_id_00006475", "prompt": "Solve for x: x + 377 = 10(x - 8) + 430", "solution_steps": ["Expand: x + 377 = 10x - 80 + 430", "Combine constants: x + 377 = 10x + 350", "Subtract 10x from both sides: -9x + 377 = 350", "Subtract 377 from both sides: -9x = -27", "Divide both sides by -9: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 377 = 10(x - 8) + 430", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 377, \"b\": 10, \"c\": 8, \"e\": 430, \"x\": 3}", "seed": "73949020531438418", "semantic_fingerprint": "sha256:56db5bb46dd03e403b002df5ad1400b5259c067d75bfc344cd0ae672bf6da233", "generator_version": "3.0"}
{"id": "v3_test_id_00006476", "prompt": "Calculate: -22 + 33", "solution_steps": ["Add: -22 + 33 = 11"], "final_answer": "11", "answer_type": "integer", "kind": "expression", "math_text": "-22 + 33", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": 33}", "seed": "8101908429907729732", "semantic_fingerprint": "sha256:37ea923b50a6af7f37a2eebad00234a18fee05db43ab66d1fbe7cd54940d4cec", "generator_version": "3.0"}
{"id": "v3_test_id_00006477", "prompt": "What value of x satisfies 2(x + 5) + 2 = -7(x - 966)?", "solution_steps": ["Expand: 2x + 10 + 2 = -7(x - 966)", "Expand: 2x + 10 + 2 = -7x + 6762", "Combine constants: 2x + 12 = -7x + 6762", "Add 7x to both sides: 9x + 12 = 6762", "Subtract 12 from both sides: 9x = 6750", "Divide both sides by 9: x = 750"], "final_answer": "750", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 5) + 2 = -7(x - 966)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"c\": 2, \"d\": -7, \"e\": 966}", "seed": "288615542466938953", "semantic_fingerprint": "sha256:7b875b8bd48a302aa506fad0a0fd0a2e17f62b9b2e91d4374e2de9aacb9d32ac", "generator_version": "3.0"}
{"id": "v3_test_id_00006478", "prompt": "Solve the equation -8x + 80 = -3x for x.", "solution_steps": ["Add 3x to both sides: -5x + 80 = 0", "Subtract 80 from both sides: -5x = -80", "Divide both sides by -5: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8x + 80 = -3x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -3, \"d\": 80, \"x\": 16}", "seed": "14335148024328222052", "semantic_fingerprint": "sha256:396fc74f254bb644a63a8003d9c2446183ed5de36ea4ea1ca203b78433421180", "generator_version": "3.0"}
{"id": "v3_test_id_00006479", "prompt": "Calculate: 0 * 90 / (-9)", "solution_steps": ["Multiply: 0 * 90 = 0", "Divide: 0 / (-9) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * 90 / (-9)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 90, \"c\": -9}", "seed": "15377322868889690292", "semantic_fingerprint": "sha256:378e245bfb20661bc166c75323b799d984d822d61de568d8acea445655d6601a", "generator_version": "3.0"}
{"id": "v3_test_id_00006480", "prompt": "Solve for x: 4x + 660 = 12(x + 57)", "solution_steps": ["Expand: 4x + 660 = 12x + 684", "Subtract 12x from both sides: -8x + 660 = 684", "Subtract 660 from both sides: -8x = 24", "Divide both sides by -8: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x + 660 = 12(x + 57)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 12, \"c\": 57, \"e\": 660, \"x\": -3}", "seed": "6686151051441036531", "semantic_fingerprint": "sha256:7c4cf80aa7b13d420255603659194e9d1417c83d15dc0b34c735e482437ea335", "generator_version": "3.0"}
{"id": "v3_test_id_00006481", "prompt": "Compute: (39 - (-72)) / (-7 / (-88)) - 3", "solution_steps": ["Subtract: 39 - (-72) = 111", "Divide: -7 / (-88) = 7/88", "Divide: 111 / (7/88) = 9768/7", "Subtract: 9768/7 - 3 = 9747/7"], "final_answer": "9747/7", "answer_type": "rational", "kind": "expression", "math_text": "(39 - (-72)) / (-7 / (-88)) - 3", "variable": null, "family": "expression_4op", "shape": "(- (/ (- n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": -72, \"c\": -7, \"d\": -88, \"e\": 3}", "seed": "17895894005876247940", "semantic_fingerprint": "sha256:8d0c837776e51b29062de518a5c9e4898ee081fa08a55dc2d3ec8866b67d5197", "generator_version": "3.0"}
{"id": "v3_test_id_00006482", "prompt": "Compute: (-45 - (31 + 2)) * (76 * 12 + 22)", "solution_steps": ["Add: 31 + 2 = 33", "Subtract: -45 - 33 = -78", "Multiply: 76 * 12 = 912", "Add: 912 + 22 = 934", "Multiply: -78 * 934 = -72852"], "final_answer": "-72852", "answer_type": "integer", "kind": "expression", "math_text": "(-45 - (31 + 2)) * (76 * 12 + 22)", "variable": null, "family": "expression_5op", "shape": "(* (- n (+ n n)) (+ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -45, \"b\": 31, \"c\": 2, \"d\": 76, \"e\": 12, \"f\": 22}", "seed": "18401828117753753893", "semantic_fingerprint": "sha256:db7e1d52f01a30f3b8ae611a5a02197a423f618a5805a1935f3984a5663c83a3", "generator_version": "3.0"}
{"id": "v3_test_id_00006483", "prompt": "Evaluate: -830 + (-87) + (-81 - 50)", "solution_steps": ["Add: -830 + (-87) = -917", "Subtract: -81 - 50 = -131", "Add: -917 + (-131) = -1048"], "final_answer": "-1048", "answer_type": "integer", "kind": "expression", "math_text": "-830 + (-87) + (-81 - 50)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -830, \"b\": -87, \"c\": -81, \"d\": 50}", "seed": "10235873381282995465", "semantic_fingerprint": "sha256:f6e1317088e730974eb546d1bab4e72e30c69d7653a3e485b3b9f586cfec46fd", "generator_version": "3.0"}
{"id": "v3_test_id_00006484", "prompt": "What is 924 * 38 / (90 - 72)?", "solution_steps": ["Multiply: 924 * 38 = 35112", "Subtract: 90 - 72 = 18", "Divide: 35112 / 18 = 5852/3"], "final_answer": "5852/3", "answer_type": "rational", "kind": "expression", "math_text": "924 * 38 / (90 - 72)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 924, \"b\": 38, \"c\": 90, \"d\": 72}", "seed": "6120036246296331116", "semantic_fingerprint": "sha256:df09b7a785449ab746981e668db6f2523553de3143f593082a252065c0408f96", "generator_version": "3.0"}
{"id": "v3_test_id_00006485", "prompt": "Solve the equation -2x = x + 3 for x.", "solution_steps": ["Subtract x from both sides: -3x = 3", "Divide both sides by -3: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x = x + 3", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"c\": 3, \"x\": -1}", "seed": "10248626430068507393", "semantic_fingerprint": "sha256:47d0eca33a1f49c0e1021c5b1745bfbf1e8ec8ec033533aa10f83e2fa9300aa4", "generator_version": "3.0"}
{"id": "v3_test_id_00006486", "prompt": "What value of x satisfies x = 7(x - 4) + 130?", "solution_steps": ["Expand: x = 7x - 28 + 130", "Combine constants: x = 7x + 102", "Subtract 7x from both sides: -6x = 102", "Divide both sides by -6: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 7(x - 4) + 130", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"d\": 130, \"x\": -17}", "seed": "8473136284624096737", "semantic_fingerprint": "sha256:016262b9f0735595b48a86f4e7838cafdf68bbe13d439925a326e7177ad64009", "generator_version": "3.0"}
{"id": "v3_test_id_00006487", "prompt": "Solve the equation 5(x - 64) - 19 = -12(x + 74) + 821 for x.", "solution_steps": ["Expand: 5x - 320 - 19 = -12(x + 74) + 821", "Expand: 5x - 320 - 19 = -12x - 888 + 821", "Combine constants: 5x - 339 = -12x - 888 + 821", "Combine constants: 5x - 339 = -12x - 67", "Add 12x to both sides: 17x - 339 = -67", "Add 339 to both sides: 17x = 272", "Divide both sides by 17: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x - 64) - 19 = -12(x + 74) + 821", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 64, \"c\": 19, \"d\": -12, \"e\": 74, \"g\": 821, \"x\": 16}", "seed": "16220804409351205123", "semantic_fingerprint": "sha256:56094636fd36dfa5c20798c85d97b0ea393be0711ffa8230f33430b3eee725ea", "generator_version": "3.0"}
{"id": "v3_test_id_00006488", "prompt": "Evaluate: 4 - 92 - (78 - (-9))", "solution_steps": ["Subtract: 4 - 92 = -88", "Subtract: 78 - (-9) = 87", "Subtract: -88 - 87 = -175"], "final_answer": "-175", "answer_type": "integer", "kind": "expression", "math_text": "4 - 92 - (78 - (-9))", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 92, \"c\": 78, \"d\": -9}", "seed": "11406054801889621153", "semantic_fingerprint": "sha256:2c6901458f0d157b1e05be9db724a952d47874c0553da79f654c3698b6af221a", "generator_version": "3.0"}
{"id": "v3_test_id_00006489", "prompt": "Solve the equation x + 217 = 12(x + 861) + 7 for x.", "solution_steps": ["Expand: x + 217 = 12x + 10332 + 7", "Combine constants: x + 217 = 12x + 10339", "Subtract 12x from both sides: -11x + 217 = 10339", "Subtract 217 from both sides: -11x = 10122", "Divide both sides by -11: x = -10122/11"], "final_answer": "-10122/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 217 = 12(x + 861) + 7", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 217, \"b\": 12, \"c\": 861, \"d\": 7}", "seed": "9545057166899873443", "semantic_fingerprint": "sha256:e585f9e586be261c090d1c8d7f8f3d111b188bffc9d21de43f8b5c3752f37582", "generator_version": "3.0"}
{"id": "v3_test_id_00006490", "prompt": "Solve the equation x - 46 = 5(x - 5) - 9 for x.", "solution_steps": ["Expand: x - 46 = 5x - 25 - 9", "Combine constants: x - 46 = 5x - 34", "Subtract 5x from both sides: -4x - 46 = -34", "Add 46 to both sides: -4x = 12", "Divide both sides by -4: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 46 = 5(x - 5) - 9", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": 5, \"c\": 5, \"e\": -9, \"x\": -3}", "seed": "4304284562231755651", "semantic_fingerprint": "sha256:e59579f7b307d899eb86d81fbb392c86ad41e719b3bca4fb6ed04bdac432fca4", "generator_version": "3.0"}
{"id": "v3_test_id_00006491", "prompt": "Calculate: 1 * 187 + (-20)", "solution_steps": ["Multiply: 1 * 187 = 187", "Add: 187 + (-20) = 167"], "final_answer": "167", "answer_type": "integer", "kind": "expression", "math_text": "1 * 187 + (-20)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 187, \"c\": -20}", "seed": "5003137522091759373", "semantic_fingerprint": "sha256:0f05375aca548052cb4a41edfb95cd3cd78f248e7fad9e8c7ab6d1f5c18902a1", "generator_version": "3.0"}
{"id": "v3_test_id_00006492", "prompt": "Calculate: 45 + 313 / (-42)", "solution_steps": ["Divide: 313 / (-42) = -313/42", "Add: 45 + (-313/42) = 1577/42"], "final_answer": "1577/42", "answer_type": "rational", "kind": "expression", "math_text": "45 + 313 / (-42)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 45, \"b\": 313, \"c\": -42}", "seed": "7452772837177537644", "semantic_fingerprint": "sha256:4f734619e1c3179e53b5d9afd2e7929f132a5c70ee9147ef2688dd74473964c5", "generator_version": "3.0"}
{"id": "v3_test_id_00006493", "prompt": "Evaluate: (-712 + 11) / (-48)", "solution_steps": ["Add: -712 + 11 = -701", "Divide: -701 / (-48) = 701/48"], "final_answer": "701/48", "answer_type": "rational", "kind": "expression", "math_text": "(-712 + 11) / (-48)", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -712, \"b\": 11, \"c\": -48}", "seed": "8128793888134544048", "semantic_fingerprint": "sha256:2aa7c28596162b908c3ec5ea3ae9c821901cba706a7b07c30efcb1e40e172c9c", "generator_version": "3.0"}
{"id": "v3_test_id_00006494", "prompt": "Calculate: 2 * 56 - (-6 + (-71) / 43)", "solution_steps": ["Multiply: 2 * 56 = 112", "Divide: -71 / 43 = -71/43", "Add: -6 + (-71/43) = -329/43", "Subtract: 112 - (-329/43) = 5145/43"], "final_answer": "5145/43", "answer_type": "rational", "kind": "expression", "math_text": "2 * 56 - (-6 + (-71) / 43)", "variable": null, "family": "expression_4op", "shape": "(- (* n n) (+ n (/ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 56, \"c\": -6, \"d\": -71, \"e\": 43}", "seed": "3975039567228125657", "semantic_fingerprint": "sha256:e8f15bb2daff5b950be3bc9388c60bcecbd154b4033dfa0710652aa448fcff7a", "generator_version": "3.0"}
{"id": "v3_test_id_00006495", "prompt": "What is 3 - (-495) - (-54)?", "solution_steps": ["Subtract: 3 - (-495) = 498", "Subtract: 498 - (-54) = 552"], "final_answer": "552", "answer_type": "integer", "kind": "expression", "math_text": "3 - (-495) - (-54)", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": -495, \"c\": -54}", "seed": "3821425734201917815", "semantic_fingerprint": "sha256:d1546a00e1c8f67f4aed66bd327dfc59c345df0832ddc06b3b2c57aadcba756a", "generator_version": "3.0"}
{"id": "v3_test_id_00006496", "prompt": "Solve for x: 11x - 84 = 8(x - 894) - 124", "solution_steps": ["Expand: 11x - 84 = 8x - 7152 - 124", "Combine constants: 11x - 84 = 8x - 7276", "Subtract 8x from both sides: 3x - 84 = -7276", "Add 84 to both sides: 3x = -7192", "Divide both sides by 3: x = -7192/3"], "final_answer": "-7192/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x - 84 = 8(x - 894) - 124", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 84, \"c\": 8, \"d\": 894, \"e\": 124}", "seed": "7118809841831846510", "semantic_fingerprint": "sha256:cab50b205e1b4c3a929a853e4d5462bc7cd3b0619e77d29213ee52c56a46f823", "generator_version": "3.0"}
{"id": "v3_test_id_00006497", "prompt": "Calculate: 211 * (-9)", "solution_steps": ["Multiply: 211 * (-9) = -1899"], "final_answer": "-1899", "answer_type": "integer", "kind": "expression", "math_text": "211 * (-9)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 211, \"b\": -9}", "seed": "11527672829385874511", "semantic_fingerprint": "sha256:b68523ad69e6a6bdbd0bda726960c95a00eeff7ebadecb512ac064a7d5512477", "generator_version": "3.0"}
{"id": "v3_test_id_00006498", "prompt": "Compute: -59 + 137 - (-14 * (-8) + (-8))", "solution_steps": ["Add: -59 + 137 = 78", "Multiply: -14 * (-8) = 112", "Add: 112 + (-8) = 104", "Subtract: 78 - 104 = -26"], "final_answer": "-26", "answer_type": "integer", "kind": "expression", "math_text": "-59 + 137 - (-14 * (-8) + (-8))", "variable": null, "family": "expression_4op", "shape": "(- (+ n n) (+ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -59, \"b\": 137, \"c\": -14, \"d\": -8, \"e\": -8}", "seed": "18054478801028376498", "semantic_fingerprint": "sha256:087b9e8c938ca529c6e4883e03ab68e6b9f690ee84c3a0b5df4b34bf6ae5bc39", "generator_version": "3.0"}
{"id": "v3_test_id_00006499", "prompt": "Find x: 7x = 12(x - 9) + 143", "solution_steps": ["Expand: 7x = 12x - 108 + 143", "Combine constants: 7x = 12x + 35", "Subtract 12x from both sides: -5x = 35", "Divide both sides by -5: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 12(x - 9) + 143", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 12, \"c\": 9, \"e\": 143, \"x\": -7}", "seed": "13817880668200375067", "semantic_fingerprint": "sha256:3a18cbc0b3e7358ad9b665686ebb75688f7c3a9d1d86a254a72fbf819ffaa33e", "generator_version": "3.0"}
{"id": "v3_test_id_00006500", "prompt": "Compute: 0 - 92 + (-62)", "solution_steps": ["Subtract: 0 - 92 = -92", "Add: -92 + (-62) = -154"], "final_answer": "-154", "answer_type": "integer", "kind": "expression", "math_text": "0 - 92 + (-62)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 92, \"c\": -62}", "seed": "18115434362825215805", "semantic_fingerprint": "sha256:3f7f1066dcbb63bdd8cb90b1b5d5ccc671c8e69cd30d953b7bfa4c36b136d93b", "generator_version": "3.0"}
{"id": "v3_test_id_00006501", "prompt": "What value of x satisfies 4(x + 8) - 98 = 6x - 40?", "solution_steps": ["Expand: 4x + 32 - 98 = 6x - 40", "Combine constants: 4x - 66 = 6x - 40", "Subtract 6x from both sides: -2x - 66 = -40", "Add 66 to both sides: -2x = 26", "Divide both sides by -2: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 8) - 98 = 6x - 40", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 8, \"c\": 98, \"d\": 6, \"f\": -40, \"x\": -13}", "seed": "12969825935944004582", "semantic_fingerprint": "sha256:59b0e451ec6b3f3325dd33635c368dc4c6311979a03226c7a3efd4841d0dea8f", "generator_version": "3.0"}
{"id": "v3_test_id_00006502", "prompt": "Calculate: 46 / (-664) / (-19)", "solution_steps": ["Divide: 46 / (-664) = -23/332", "Divide: (-23/332) / (-19) = 23/6308"], "final_answer": "23/6308", "answer_type": "rational", "kind": "expression", "math_text": "46 / (-664) / (-19)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": -664, \"c\": -19}", "seed": "4720946061224370302", "semantic_fingerprint": "sha256:aa3d3dbf7323aa39859a36372930d75a6df424bd65272fd41bc24c7c60a75283", "generator_version": "3.0"}
{"id": "v3_test_id_00006503", "prompt": "Evaluate: 29 * (998 - 85)", "solution_steps": ["Subtract: 998 - 85 = 913", "Multiply: 29 * 913 = 26477"], "final_answer": "26477", "answer_type": "integer", "kind": "expression", "math_text": "29 * (998 - 85)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 29, \"b\": 998, \"c\": 85}", "seed": "16265401388580794267", "semantic_fingerprint": "sha256:0f2f67256a732ca9011f71250a18c5be3cef0e0618c6031c2561ee069794e5a3", "generator_version": "3.0"}
{"id": "v3_test_id_00006504", "prompt": "Evaluate: -28 / (3 * (32 * 8))", "solution_steps": ["Multiply: 32 * 8 = 256", "Multiply: 3 * 256 = 768", "Divide: -28 / 768 = -7/192"], "final_answer": "-7/192", "answer_type": "rational", "kind": "expression", "math_text": "-28 / (3 * (32 * 8))", "variable": null, "family": "expression_3op", "shape": "(/ n (* n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -28, \"b\": 3, \"c\": 32, \"d\": 8}", "seed": "2284776736584639843", "semantic_fingerprint": "sha256:bb2cf31b934042d6eb51d57b0af9b4f51058fa64b4fd0ef7ee1d03d96181dd7e", "generator_version": "3.0"}
{"id": "v3_test_id_00006505", "prompt": "Find x: 11x = 7x - 44", "solution_steps": ["Subtract 7x from both sides: 4x = -44", "Divide both sides by 4: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = 7x - 44", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 7, \"d\": -44, \"x\": -11}", "seed": "12797831736475594619", "semantic_fingerprint": "sha256:911cbb2ab7c4bc849f98573f62e5abaa7b57418510cf1799a54e34b3a50fcfcd", "generator_version": "3.0"}
{"id": "v3_test_id_00006506", "prompt": "Solve for x: -4(x + 585) + 25 = 11x - 91", "solution_steps": ["Expand: -4x - 2340 + 25 = 11x - 91", "Combine constants: -4x - 2315 = 11x - 91", "Subtract 11x from both sides: -15x - 2315 = -91", "Add 2315 to both sides: -15x = 2224", "Divide both sides by -15: x = -2224/15"], "final_answer": "-2224/15", "answer_type": "rational", "kind": "linear_equation", "math_text": "-4(x + 585) + 25 = 11x - 91", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 585, \"c\": 25, \"d\": 11, \"e\": 91}", "seed": "10686915915465563442", "semantic_fingerprint": "sha256:dc46c282f20d217574d6edde820a51f80a269114022d9664d8bbad8a8fca9aab", "generator_version": "3.0"}
{"id": "v3_test_id_00006507", "prompt": "What is 76 / 94?", "solution_steps": ["Divide: 76 / 94 = 38/47"], "final_answer": "38/47", "answer_type": "rational", "kind": "expression", "math_text": "76 / 94", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": 94}", "seed": "20101885513093006", "semantic_fingerprint": "sha256:623a12265aa0399418d662abcd7901e2e3259eefa191dc9fa1f08e1b05296e06", "generator_version": "3.0"}
{"id": "v3_test_id_00006508", "prompt": "Evaluate: 403 + (-80) + (-81) * ((21 + (-94)) / (-64))", "solution_steps": ["Add: 403 + (-80) = 323", "Add: 21 + (-94) = -73", "Divide: -73 / (-64) = 73/64", "Multiply: -81 * (73/64) = -5913/64", "Add: 323 + (-5913/64) = 14759/64"], "final_answer": "14759/64", "answer_type": "rational", "kind": "expression", "math_text": "403 + (-80) + (-81) * ((21 + (-94)) / (-64))", "variable": null, "family": "expression_5op", "shape": "(+ (+ n n) (* n (/ (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 403, \"b\": -80, \"c\": -81, \"d\": 21, \"e\": -94, \"f\": -64}", "seed": "15106154300059819073", "semantic_fingerprint": "sha256:29fcc1b529e0972527cac7c6c866befeee26bc9f689b3ecdbdf15dacabab95e0", "generator_version": "3.0"}
{"id": "v3_test_id_00006509", "prompt": "Evaluate: (386 + 3) / (98 * 4) - 3 / (-5)", "solution_steps": ["Add: 386 + 3 = 389", "Multiply: 98 * 4 = 392", "Divide: 389 / 392 = 389/392", "Divide: 3 / (-5) = -3/5", "Subtract: 389/392 - (-3/5) = 3121/1960"], "final_answer": "3121/1960", "answer_type": "rational", "kind": "expression", "math_text": "(386 + 3) / (98 * 4) - 3 / (-5)", "variable": null, "family": "expression_5op", "shape": "(- (/ (+ n n) (* n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 386, \"b\": 3, \"c\": 98, \"d\": 4, \"e\": 3, \"f\": -5}", "seed": "10429829955277804724", "semantic_fingerprint": "sha256:e25a88761f72ce8988697d4907fa4c75e244ede474195927611f5dd65d971c9f", "generator_version": "3.0"}
{"id": "v3_test_id_00006510", "prompt": "Compute: -38 * (-207) / 981 * (9 - (-45))", "solution_steps": ["Multiply: -38 * (-207) = 7866", "Divide: 7866 / 981 = 874/109", "Subtract: 9 - (-45) = 54", "Multiply: (874/109) * 54 = 47196/109"], "final_answer": "47196/109", "answer_type": "rational", "kind": "expression", "math_text": "-38 * (-207) / 981 * (9 - (-45))", "variable": null, "family": "expression_4op", "shape": "(* (/ (* n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -38, \"b\": -207, \"c\": 981, \"d\": 9, \"e\": -45}", "seed": "16842587202039977221", "semantic_fingerprint": "sha256:e6bca05e959ca5f40ea8577014b90daba040a48a18a66d303f0ff59f418e228c", "generator_version": "3.0"}
{"id": "v3_test_id_00006511", "prompt": "Find x: -3x + 23 = 5x + 461", "solution_steps": ["Subtract 5x from both sides: -8x + 23 = 461", "Subtract 23 from both sides: -8x = 438", "Divide both sides by -8: x = -219/4"], "final_answer": "-219/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3x + 23 = 5x + 461", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 23, \"c\": 5, \"d\": 461}", "seed": "180469457277941572", "semantic_fingerprint": "sha256:e70d4216c52427b75b95dd032c330418bb9e453a64f460b0146b46051c4750ec", "generator_version": "3.0"}
{"id": "v3_test_id_00006512", "prompt": "Evaluate: 8 + (-1 + (-16))", "solution_steps": ["Add: -1 + (-16) = -17", "Add: 8 + (-17) = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "expression", "math_text": "8 + (-1 + (-16))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -1, \"c\": -16}", "seed": "9571522067885535178", "semantic_fingerprint": "sha256:177e13b9749cd2b6783c78fc8561a2008b591b8196f21ed8699811973d38530b", "generator_version": "3.0"}
{"id": "v3_test_id_00006513", "prompt": "Compute: 650 - 73 * (-23)", "solution_steps": ["Multiply: 73 * (-23) = -1679", "Subtract: 650 - (-1679) = 2329"], "final_answer": "2329", "answer_type": "integer", "kind": "expression", "math_text": "650 - 73 * (-23)", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 650, \"b\": 73, \"c\": -23}", "seed": "15594345220205334810", "semantic_fingerprint": "sha256:46be59c493a08d0e36dc092c7299fa35326e6caf709ab7edda524485e579d409", "generator_version": "3.0"}
{"id": "v3_test_id_00006514", "prompt": "Calculate: 73 * (-51) + (-49)", "solution_steps": ["Multiply: 73 * (-51) = -3723", "Add: -3723 + (-49) = -3772"], "final_answer": "-3772", "answer_type": "integer", "kind": "expression", "math_text": "73 * (-51) + (-49)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": -51, \"c\": -49}", "seed": "3878621286488624618", "semantic_fingerprint": "sha256:d508fbb715a470a06a811bbb4350efe3e5a2bb77f1a94148d400f3076ae35454", "generator_version": "3.0"}
{"id": "v3_test_id_00006515", "prompt": "Compute: -4 + (-41)", "solution_steps": ["Add: -4 + (-41) = -45"], "final_answer": "-45", "answer_type": "integer", "kind": "expression", "math_text": "-4 + (-41)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -41}", "seed": "1463098730864508461", "semantic_fingerprint": "sha256:28381db0c1434d55e5def1834226a61dc36daedbbe719758dd81cbf039d2685a", "generator_version": "3.0"}
{"id": "v3_test_id_00006516", "prompt": "Solve for x: 4x - 91 = 10x + 83", "solution_steps": ["Subtract 10x from both sides: -6x - 91 = 83", "Add 91 to both sides: -6x = 174", "Divide both sides by -6: x = -29"], "final_answer": "-29", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x - 91 = 10x + 83", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 91, \"c\": 10, \"d\": 83}", "seed": "3632687269423462472", "semantic_fingerprint": "sha256:5856c0cef4bc33868701bdf071dd5a1e85495136e8aa5643a9fd0ace8e0ffac1", "generator_version": "3.0"}
{"id": "v3_test_id_00006517", "prompt": "Solve for x: -4x + 8 = 9x + 203", "solution_steps": ["Subtract 9x from both sides: -13x + 8 = 203", "Subtract 8 from both sides: -13x = 195", "Divide both sides by -13: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x + 8 = 9x + 203", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 8, \"c\": 9, \"e\": 203, \"x\": -15}", "seed": "8203257475413667083", "semantic_fingerprint": "sha256:2a79ba775e70f4d7780386bae33de1bfa66d9592f05c4017cabc33a2a2624904", "generator_version": "3.0"}
{"id": "v3_test_id_00006518", "prompt": "Calculate: -969 * (686 + 45)", "solution_steps": ["Add: 686 + 45 = 731", "Multiply: -969 * 731 = -708339"], "final_answer": "-708339", "answer_type": "integer", "kind": "expression", "math_text": "-969 * (686 + 45)", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -969, \"b\": 686, \"c\": 45}", "seed": "2519066064877550428", "semantic_fingerprint": "sha256:8f4b3a3f809f9dad957e29f6a7930852a015cb012147ca91fae3ea7f77b66612", "generator_version": "3.0"}
{"id": "v3_test_id_00006519", "prompt": "What is 920 + (5 - 514) - (-19)?", "solution_steps": ["Subtract: 5 - 514 = -509", "Add: 920 + (-509) = 411", "Subtract: 411 - (-19) = 430"], "final_answer": "430", "answer_type": "integer", "kind": "expression", "math_text": "920 + (5 - 514) - (-19)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 920, \"b\": 5, \"c\": 514, \"d\": -19}", "seed": "11460477052310789711", "semantic_fingerprint": "sha256:bb9e0b41169607a0aac79649a31c9ab6927106ecbc37f7a9402b6682a43f66bd", "generator_version": "3.0"}
{"id": "v3_test_id_00006520", "prompt": "Compute: 4 - 32 * 268 * (98 - (-4))", "solution_steps": ["Multiply: 32 * 268 = 8576", "Subtract: 98 - (-4) = 102", "Multiply: 8576 * 102 = 874752", "Subtract: 4 - 874752 = -874748"], "final_answer": "-874748", "answer_type": "integer", "kind": "expression", "math_text": "4 - 32 * 268 * (98 - (-4))", "variable": null, "family": "expression_4op", "shape": "(- n (* (* n n) (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 32, \"c\": 268, \"d\": 98, \"e\": -4}", "seed": "15268035714010488749", "semantic_fingerprint": "sha256:c3613e602586af69572f2eacb321065ff9413d8914428a88c7f0c95280aa97be", "generator_version": "3.0"}
{"id": "v3_test_id_00006521", "prompt": "Evaluate: 6 / (-90) / (304 / 65)", "solution_steps": ["Divide: 6 / (-90) = -1/15", "Divide: 304 / 65 = 304/65", "Divide: (-1/15) / (304/65) = -13/912"], "final_answer": "-13/912", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-90) / (304 / 65)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -90, \"c\": 304, \"d\": 65}", "seed": "10708241180948707769", "semantic_fingerprint": "sha256:d9df0b36f682483c099e27cd4f928229f1c197d431a35e84095e48bbfe682b02", "generator_version": "3.0"}
{"id": "v3_test_id_00006522", "prompt": "Find x: 11(x - 7) - 4 = x - 261", "solution_steps": ["Expand: 11x - 77 - 4 = x - 261", "Combine constants: 11x - 81 = x - 261", "Subtract x from both sides: 10x - 81 = -261", "Add 81 to both sides: 10x = -180", "Divide both sides by 10: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x - 7) - 4 = x - 261", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 7, \"c\": 4, \"e\": -261, \"x\": -18}", "seed": "225584839765272342", "semantic_fingerprint": "sha256:5cf61af6221cc3820885c5348d82e45a18d4499186f60496178d5f6bd4d7fd3c", "generator_version": "3.0"}
{"id": "v3_test_id_00006523", "prompt": "What is 9 - (-689) + (-46) * 7?", "solution_steps": ["Subtract: 9 - (-689) = 698", "Multiply: -46 * 7 = -322", "Add: 698 + (-322) = 376"], "final_answer": "376", "answer_type": "integer", "kind": "expression", "math_text": "9 - (-689) + (-46) * 7", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -689, \"c\": -46, \"d\": 7}", "seed": "1056313091074188225", "semantic_fingerprint": "sha256:8f6cb2b39a49621f7da43f4bd7330f446bfcf05839dd7658d2531f153eb7a8b8", "generator_version": "3.0"}
{"id": "v3_test_id_00006524", "prompt": "Evaluate: 2 + 1 - 32", "solution_steps": ["Add: 2 + 1 = 3", "Subtract: 3 - 32 = -29"], "final_answer": "-29", "answer_type": "integer", "kind": "expression", "math_text": "2 + 1 - 32", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 1, \"c\": 32}", "seed": "1077566335523817274", "semantic_fingerprint": "sha256:1b28b76d8f785874bd5131ad47f3dd8a7e1012722cb1f8b3e706d3d080b4c3c3", "generator_version": "3.0"}
{"id": "v3_test_id_00006525", "prompt": "Evaluate: -4 + (-38) * (-66)", "solution_steps": ["Multiply: -38 * (-66) = 2508", "Add: -4 + 2508 = 2504"], "final_answer": "2504", "answer_type": "integer", "kind": "expression", "math_text": "-4 + (-38) * (-66)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -38, \"c\": -66}", "seed": "14150574473135837122", "semantic_fingerprint": "sha256:ef7e98d2fe9476347c25acdc1e4af0607d7f280406220c12b14b4dc672e2ec87", "generator_version": "3.0"}
{"id": "v3_test_id_00006526", "prompt": "What is -6 * (2 + (-773))?", "solution_steps": ["Add: 2 + (-773) = -771", "Multiply: -6 * (-771) = 4626"], "final_answer": "4626", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (2 + (-773))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 2, \"c\": -773}", "seed": "9393434403890522586", "semantic_fingerprint": "sha256:1bef3e138b07c5117e1df97410a232fb55b6a30839304a3ffbadea7392fed0b8", "generator_version": "3.0"}
{"id": "v3_test_id_00006527", "prompt": "What value of x satisfies 3(x + 9) + 3 = 7(x - 7) + 47?", "solution_steps": ["Expand: 3x + 27 + 3 = 7(x - 7) + 47", "Expand: 3x + 27 + 3 = 7x - 49 + 47", "Combine constants: 3x + 30 = 7x - 49 + 47", "Combine constants: 3x + 30 = 7x - 2", "Subtract 7x from both sides: -4x + 30 = -2", "Subtract 30 from both sides: -4x = -32", "Divide both sides by -4: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 9) + 3 = 7(x - 7) + 47", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": 3, \"d\": 7, \"e\": 7, \"g\": 47, \"x\": 8}", "seed": "15010590184424404498", "semantic_fingerprint": "sha256:a55521ae8deb17a88e453ed731879de4694c29ddc8fede36d11dad00e9b4244e", "generator_version": "3.0"}
{"id": "v3_test_id_00006528", "prompt": "Solve for x: 6(x - 67) = -318", "solution_steps": ["Expand: 6x - 402 = -318", "Add 402 to both sides: 6x = 84", "Divide both sides by 6: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 67) = -318", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 67, \"d\": -318, \"x\": 14}", "seed": "8510917963327236386", "semantic_fingerprint": "sha256:602e3876172e057804d55879e8899c10d3877e82f3600c80395d551cb149d1ee", "generator_version": "3.0"}
{"id": "v3_test_id_00006529", "prompt": "Compute: 4 - (-944) + (-34)", "solution_steps": ["Subtract: 4 - (-944) = 948", "Add: 948 + (-34) = 914"], "final_answer": "914", "answer_type": "integer", "kind": "expression", "math_text": "4 - (-944) + (-34)", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -944, \"c\": -34}", "seed": "2445625707703225244", "semantic_fingerprint": "sha256:f33754b3e16964ff5d0e303b153052f09b0a578cd06203b58adf668a27a20630", "generator_version": "3.0"}
{"id": "v3_test_id_00006530", "prompt": "Evaluate: 46 * (-5) - (-1) - (-3)", "solution_steps": ["Multiply: 46 * (-5) = -230", "Subtract: -230 - (-1) = -229", "Subtract: -229 - (-3) = -226"], "final_answer": "-226", "answer_type": "integer", "kind": "expression", "math_text": "46 * (-5) - (-1) - (-3)", "variable": null, "family": "expression_3op", "shape": "(- (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 46, \"b\": -5, \"c\": -1, \"d\": -3}", "seed": "13238865275176869083", "semantic_fingerprint": "sha256:4a2f77128017b9863edf76ba331ad93993b7ef3a15c88bfbd7b7749580fafc15", "generator_version": "3.0"}
{"id": "v3_test_id_00006531", "prompt": "Find x: -7(x + 64) = -9x - 456", "solution_steps": ["Expand: -7x - 448 = -9x - 456", "Add 9x to both sides: 2x - 448 = -456", "Add 448 to both sides: 2x = -8", "Divide both sides by 2: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "-7(x + 64) = -9x - 456", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 64, \"c\": -9, \"e\": -456, \"x\": -4}", "seed": "15668514729683248390", "semantic_fingerprint": "sha256:6faa8729a033f3a3f8e6669bc7ee99caba1d069e077b12ff411b89e328478ef7", "generator_version": "3.0"}
{"id": "v3_test_id_00006532", "prompt": "Compute: -908 * 47 + (-78 - (80 + 24))", "solution_steps": ["Multiply: -908 * 47 = -42676", "Add: 80 + 24 = 104", "Subtract: -78 - 104 = -182", "Add: -42676 + (-182) = -42858"], "final_answer": "-42858", "answer_type": "integer", "kind": "expression", "math_text": "-908 * 47 + (-78 - (80 + 24))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- n (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -908, \"b\": 47, \"c\": -78, \"d\": 80, \"e\": 24}", "seed": "13748312147466271705", "semantic_fingerprint": "sha256:7c28ad3cc2dee0db0fc36a6331172af89c4d4d9b9b3e9b549235dd0e1ce50a0f", "generator_version": "3.0"}
{"id": "v3_test_id_00006533", "prompt": "Solve for x: -3(x - 9) - 3 = 9x - 216", "solution_steps": ["Expand: -3x + 27 - 3 = 9x - 216", "Combine constants: -3x + 24 = 9x - 216", "Subtract 9x from both sides: -12x + 24 = -216", "Subtract 24 from both sides: -12x = -240", "Divide both sides by -12: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3(x - 9) - 3 = 9x - 216", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 9, \"c\": 3, \"d\": 9, \"f\": -216, \"x\": 20}", "seed": "17126515815748393223", "semantic_fingerprint": "sha256:72b74e71028f57fbe0d9e2438c8940a0abd216e5ae9efb97e148091805560f8f", "generator_version": "3.0"}
{"id": "v3_test_id_00006534", "prompt": "Solve for x: 2(x + 21) = 11(x + 53) + 405", "solution_steps": ["Expand: 2x + 42 = 11(x + 53) + 405", "Expand: 2x + 42 = 11x + 583 + 405", "Combine constants: 2x + 42 = 11x + 988", "Subtract 11x from both sides: -9x + 42 = 988", "Subtract 42 from both sides: -9x = 946", "Divide both sides by -9: x = -946/9"], "final_answer": "-946/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 21) = 11(x + 53) + 405", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 21, \"c\": 11, \"d\": 53, \"e\": 405}", "seed": "4314210703989268808", "semantic_fingerprint": "sha256:74dfcd093861680df4f7db019788eae527705d8b646b445d1343a6aa123d7988", "generator_version": "3.0"}
{"id": "v3_test_id_00006535", "prompt": "Compute: -8 / (-52) * (939 - (30 - (-9)))", "solution_steps": ["Divide: -8 / (-52) = 2/13", "Subtract: 30 - (-9) = 39", "Subtract: 939 - 39 = 900", "Multiply: (2/13) * 900 = 1800/13"], "final_answer": "1800/13", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (-52) * (939 - (30 - (-9)))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -52, \"c\": 939, \"d\": 30, \"e\": -9}", "seed": "8564786067149406413", "semantic_fingerprint": "sha256:025e16b583332d5aca0f15576a1734d994aefc43b31a652a2418a4b48b7260e4", "generator_version": "3.0"}
{"id": "v3_test_id_00006536", "prompt": "Compute: -9 + 71 + (-98 - 3)", "solution_steps": ["Add: -9 + 71 = 62", "Subtract: -98 - 3 = -101", "Add: 62 + (-101) = -39"], "final_answer": "-39", "answer_type": "integer", "kind": "expression", "math_text": "-9 + 71 + (-98 - 3)", "variable": null, "family": "expression_3op", "shape": "(+ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 71, \"c\": -98, \"d\": 3}", "seed": "15171731186713734626", "semantic_fingerprint": "sha256:4c874b9de69efe668ee94e12bc539a06899c92b33056fda89e22db17dfee5e04", "generator_version": "3.0"}
{"id": "v3_test_id_00006537", "prompt": "Solve the equation 3(x + 7) = 9(x + 9) - 102 for x.", "solution_steps": ["Expand: 3x + 21 = 9(x + 9) - 102", "Expand: 3x + 21 = 9x + 81 - 102", "Combine constants: 3x + 21 = 9x - 21", "Subtract 9x from both sides: -6x + 21 = -21", "Subtract 21 from both sides: -6x = -42", "Divide both sides by -6: x = 7"], "final_answer": "7", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 7) = 9(x + 9) - 102", "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\": 9, \"d\": 9, \"f\": -102, \"x\": 7}", "seed": "998087965948513537", "semantic_fingerprint": "sha256:98c70c4bb068a4a335edaa65a9f40c7827cc74e8464bb666f2b1398d854635c1", "generator_version": "3.0"}
{"id": "v3_test_id_00006538", "prompt": "Solve the equation x = 5x - 16 for x.", "solution_steps": ["Subtract 5x from both sides: -4x = -16", "Divide both sides by -4: x = 4"], "final_answer": "4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 5x - 16", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"c\": -16, \"x\": 4}", "seed": "4603160605101703211", "semantic_fingerprint": "sha256:e38798dd22082679d41b941e45596cc7ac624f40f99017dcf56bec7905ee51c7", "generator_version": "3.0"}
{"id": "v3_test_id_00006539", "prompt": "Solve for x: 11x = 6x + 85", "solution_steps": ["Subtract 6x from both sides: 5x = 85", "Divide both sides by 5: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = 6x + 85", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 6, \"d\": 85, \"x\": 17}", "seed": "6112439849847266956", "semantic_fingerprint": "sha256:7b17c1dbf815f211889246326274093ba4afe5b7c67d6fc2f19fedf3bf80988f", "generator_version": "3.0"}
{"id": "v3_test_id_00006540", "prompt": "What is (-2 - (-1) - 2) / (-6 - 0)?", "solution_steps": ["Subtract: -2 - (-1) = -1", "Subtract: -1 - 2 = -3", "Subtract: -6 - 0 = -6", "Divide: -3 / (-6) = 1/2"], "final_answer": "1/2", "answer_type": "rational", "kind": "expression", "math_text": "(-2 - (-1) - 2) / (-6 - 0)", "variable": null, "family": "expression_4op", "shape": "(/ (- (- n n) n) (- n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -1, \"c\": 2, \"d\": -6, \"e\": 0}", "seed": "6475723775802027909", "semantic_fingerprint": "sha256:32569d76f42e906688cddd6c0011c2ab9e7d63f3b58fe30d31dbacffb3352fa6", "generator_version": "3.0"}
{"id": "v3_test_id_00006541", "prompt": "Find x: 12(x + 74) - 894 = 10x", "solution_steps": ["Expand: 12x + 888 - 894 = 10x", "Combine constants: 12x - 6 = 10x", "Subtract 10x from both sides: 2x - 6 = 0", "Add 6 to both sides: 2x = 6", "Divide both sides by 2: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 74) - 894 = 10x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 74, \"c\": 10, \"e\": -894, \"x\": 3}", "seed": "15947618886880790171", "semantic_fingerprint": "sha256:6c6a0c227bda327dd2dcd1f8f78f5f19c4fc05db46c41e89ff4a54892ce22355", "generator_version": "3.0"}
{"id": "v3_test_id_00006542", "prompt": "Solve for x: x - 9 = -5x + 98", "solution_steps": ["Add 5x to both sides: 6x - 9 = 98", "Add 9 to both sides: 6x = 107", "Divide both sides by 6: x = 107/6"], "final_answer": "107/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "x - 9 = -5x + 98", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -5, \"c\": 98}", "seed": "4280361633091277525", "semantic_fingerprint": "sha256:2ddefd4b2a5c70ebc3b1d57fe16185f379bc7cadb515352eb6d7904bdf998e83", "generator_version": "3.0"}
{"id": "v3_test_id_00006543", "prompt": "Evaluate: 22 - 358 + (-1) * (-56) / (-988)", "solution_steps": ["Subtract: 22 - 358 = -336", "Multiply: -1 * (-56) = 56", "Divide: 56 / (-988) = -14/247", "Add: -336 + (-14/247) = -83006/247"], "final_answer": "-83006/247", "answer_type": "rational", "kind": "expression", "math_text": "22 - 358 + (-1) * (-56) / (-988)", "variable": null, "family": "expression_4op", "shape": "(+ (- n n) (/ (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 22, \"b\": 358, \"c\": -1, \"d\": -56, \"e\": -988}", "seed": "12678859922363309568", "semantic_fingerprint": "sha256:e22f2003553ab36fb69aa75da0d5ad1f2c757bba56c7fff8affc4c3532dd8f06", "generator_version": "3.0"}
{"id": "v3_test_id_00006544", "prompt": "What value of x satisfies x + 332 = -5(x - 46)?", "solution_steps": ["Expand: x + 332 = -5x + 230", "Add 5x to both sides: 6x + 332 = 230", "Subtract 332 from both sides: 6x = -102", "Divide both sides by 6: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 332 = -5(x - 46)", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 46, \"d\": 332, \"x\": -17}", "seed": "18114390700304071634", "semantic_fingerprint": "sha256:27fff9c7cec52a9a246aacdafaaca5422a8bc274df310dfe210dc8dac1795212", "generator_version": "3.0"}
{"id": "v3_test_id_00006545", "prompt": "Solve the equation 2(x + 22) = 5x for x.", "solution_steps": ["Expand: 2x + 44 = 5x", "Subtract 5x from both sides: -3x + 44 = 0", "Subtract 44 from both sides: -3x = -44", "Divide both sides by -3: x = 44/3"], "final_answer": "44/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 22) = 5x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 22, \"c\": 5}", "seed": "10986802471628977052", "semantic_fingerprint": "sha256:5a761da9d52d30cad757b28074c14300a6d6f53d41b24a2d49b35b2712e9511d", "generator_version": "3.0"}
{"id": "v3_test_id_00006546", "prompt": "Solve the equation 8x = -5x - 208 for x.", "solution_steps": ["Add 5x to both sides: 13x = -208", "Divide both sides by 13: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x = -5x - 208", "variable": "x", "family": "linear_equation", "shape": "kx=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -5, \"d\": -208, \"x\": -16}", "seed": "3679738642530121512", "semantic_fingerprint": "sha256:8843b7be35a6fe6fdb6c72004fe75637190f989dc2713f991eb550d7aec773c3", "generator_version": "3.0"}
{"id": "v3_test_id_00006547", "prompt": "Compute: -15 * 756 + 6 / 2 - (-5)", "solution_steps": ["Multiply: -15 * 756 = -11340", "Divide: 6 / 2 = 3", "Add: -11340 + 3 = -11337", "Subtract: -11337 - (-5) = -11332"], "final_answer": "-11332", "answer_type": "integer", "kind": "expression", "math_text": "-15 * 756 + 6 / 2 - (-5)", "variable": null, "family": "expression_4op", "shape": "(- (+ (* n n) (/ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -15, \"b\": 756, \"c\": 6, \"d\": 2, \"e\": -5}", "seed": "13083399855825818671", "semantic_fingerprint": "sha256:49cf5abcd3f0d85fecc8dd60381f9c6caaac8a3c26039a0f371c013ef00cc4ad", "generator_version": "3.0"}
{"id": "v3_test_id_00006548", "prompt": "Evaluate: -994 * (-84) + 0 / (-9) / (-7) / (-6)", "solution_steps": ["Multiply: -994 * (-84) = 83496", "Divide: 0 / (-9) = 0", "Divide: 0 / (-7) = 0", "Divide: 0 / (-6) = 0", "Add: 83496 + 0 = 83496"], "final_answer": "83496", "answer_type": "integer", "kind": "expression", "math_text": "-994 * (-84) + 0 / (-9) / (-7) / (-6)", "variable": null, "family": "expression_5op", "shape": "(+ (* n n) (/ (/ (/ n n) n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -994, \"b\": -84, \"c\": 0, \"d\": -9, \"e\": -7, \"f\": -6}", "seed": "12255596786352263085", "semantic_fingerprint": "sha256:b9f2ed9d456c641e34766480664b48dba8d442a969bf7d71159e1b2f3ee65837", "generator_version": "3.0"}
{"id": "v3_test_id_00006549", "prompt": "Solve the equation x = 5x - 72 for x.", "solution_steps": ["Subtract 5x from both sides: -4x = -72", "Divide both sides by -4: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 5x - 72", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"c\": -72, \"x\": 18}", "seed": "2583448781134660597", "semantic_fingerprint": "sha256:1940d970bc91e0911cfe45f1dffe15cf477660fc6c422b3a035e16f0d3305b54", "generator_version": "3.0"}
{"id": "v3_test_id_00006550", "prompt": "Evaluate: 454 / (-614) * (-59 * (-50 - (-31)))", "solution_steps": ["Divide: 454 / (-614) = -227/307", "Subtract: -50 - (-31) = -19", "Multiply: -59 * (-19) = 1121", "Multiply: (-227/307) * 1121 = -254467/307"], "final_answer": "-254467/307", "answer_type": "rational", "kind": "expression", "math_text": "454 / (-614) * (-59 * (-50 - (-31)))", "variable": null, "family": "expression_4op", "shape": "(* (/ n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 454, \"b\": -614, \"c\": -59, \"d\": -50, \"e\": -31}", "seed": "8906417386372544404", "semantic_fingerprint": "sha256:6fcdbd59890c5892d4434816c8d8300caf4d872d08098027c61f759ca43b7d3c", "generator_version": "3.0"}
{"id": "v3_test_id_00006551", "prompt": "Calculate: -18 * (57 - 2)", "solution_steps": ["Subtract: 57 - 2 = 55", "Multiply: -18 * 55 = -990"], "final_answer": "-990", "answer_type": "integer", "kind": "expression", "math_text": "-18 * (57 - 2)", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": 57, \"c\": 2}", "seed": "15487049730939261210", "semantic_fingerprint": "sha256:9faa7550d8cf08bf282e73920e4c96b339729f1fa9d53cb401d895917b996700", "generator_version": "3.0"}
{"id": "v3_test_id_00006552", "prompt": "Evaluate: -64 / (-50) - 9", "solution_steps": ["Divide: -64 / (-50) = 32/25", "Subtract: 32/25 - 9 = -193/25"], "final_answer": "-193/25", "answer_type": "rational", "kind": "expression", "math_text": "-64 / (-50) - 9", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": -50, \"c\": 9}", "seed": "9336567339519778822", "semantic_fingerprint": "sha256:865c0a4d8dbcb25b78fa2bb724a8670871f9a6fdbe6e4b347e05e282d0914e76", "generator_version": "3.0"}
{"id": "v3_test_id_00006553", "prompt": "What is (4 - (-1 - (5 + 451))) * (-194)?", "solution_steps": ["Add: 5 + 451 = 456", "Subtract: -1 - 456 = -457", "Subtract: 4 - (-457) = 461", "Multiply: 461 * (-194) = -89434"], "final_answer": "-89434", "answer_type": "integer", "kind": "expression", "math_text": "(4 - (-1 - (5 + 451))) * (-194)", "variable": null, "family": "expression_4op", "shape": "(* (- n (- n (+ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -1, \"c\": 5, \"d\": 451, \"e\": -194}", "seed": "2492733813846666378", "semantic_fingerprint": "sha256:9c27228ab7ecb7207fa4a5dcd87186ca2c16f008b9d6ca1c4f1735bfaf343528", "generator_version": "3.0"}
{"id": "v3_test_id_00006554", "prompt": "Solve for x: -5x + 407 = 11x - 26", "solution_steps": ["Subtract 11x from both sides: -16x + 407 = -26", "Subtract 407 from both sides: -16x = -433", "Divide both sides by -16: x = 433/16"], "final_answer": "433/16", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5x + 407 = 11x - 26", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 407, \"c\": 11, \"d\": 26}", "seed": "7166507510748304857", "semantic_fingerprint": "sha256:43b7fa68acd69f3c4d9389e9c3ae4329c7f031395544ecae2f819c58e848f90b", "generator_version": "3.0"}
{"id": "v3_test_id_00006555", "prompt": "Calculate: 62 - (-846 - 3 * (-38))", "solution_steps": ["Multiply: 3 * (-38) = -114", "Subtract: -846 - (-114) = -732", "Subtract: 62 - (-732) = 794"], "final_answer": "794", "answer_type": "integer", "kind": "expression", "math_text": "62 - (-846 - 3 * (-38))", "variable": null, "family": "expression_3op", "shape": "(- n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": -846, \"c\": 3, \"d\": -38}", "seed": "10639059421179325109", "semantic_fingerprint": "sha256:83fb61974599f3259a44427ac962e6da80e2f37943035dad6e4da51cdeabe1c1", "generator_version": "3.0"}
{"id": "v3_test_id_00006556", "prompt": "What value of x satisfies x - 579 = 2(x + 370) + 50?", "solution_steps": ["Expand: x - 579 = 2x + 740 + 50", "Combine constants: x - 579 = 2x + 790", "Subtract 2x from both sides: -x - 579 = 790", "Add 579 to both sides: -x = 1369", "Divide both sides by -1: x = -1369"], "final_answer": "-1369", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 579 = 2(x + 370) + 50", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 579, \"b\": 2, \"c\": 370, \"d\": 50}", "seed": "6346130975951524641", "semantic_fingerprint": "sha256:9589a3f249c34a9cecbe86c48e763efb946cb31644ad428ded48ee2210112f24", "generator_version": "3.0"}
{"id": "v3_test_id_00006557", "prompt": "Solve the equation 2x + 104 = -5(x - 46) for x.", "solution_steps": ["Expand: 2x + 104 = -5x + 230", "Add 5x to both sides: 7x + 104 = 230", "Subtract 104 from both sides: 7x = 126", "Divide both sides by 7: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x + 104 = -5(x - 46)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -5, \"c\": 46, \"e\": 104, \"x\": 18}", "seed": "6817583501726833147", "semantic_fingerprint": "sha256:e480448f2eb64a57bcbe2650277cacd2dd039ef10216cebf5dafc5b3d8d46c0c", "generator_version": "3.0"}
{"id": "v3_test_id_00006558", "prompt": "Compute: 76 / (-58 + (-4 - 60 * (-96)))", "solution_steps": ["Multiply: 60 * (-96) = -5760", "Subtract: -4 - (-5760) = 5756", "Add: -58 + 5756 = 5698", "Divide: 76 / 5698 = 38/2849"], "final_answer": "38/2849", "answer_type": "rational", "kind": "expression", "math_text": "76 / (-58 + (-4 - 60 * (-96)))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ n (- n (* n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 76, \"b\": -58, \"c\": -4, \"d\": 60, \"e\": -96}", "seed": "4775273126076746634", "semantic_fingerprint": "sha256:9f2797147d10248d6cfd90f4aa03ba388f7fee8c4e47d52a2f311a5d8b9e26b3", "generator_version": "3.0"}
{"id": "v3_test_id_00006559", "prompt": "Find x: 10(x - 29) - 25 = 5(x - 159) + 415", "solution_steps": ["Expand: 10x - 290 - 25 = 5(x - 159) + 415", "Expand: 10x - 290 - 25 = 5x - 795 + 415", "Combine constants: 10x - 315 = 5x - 795 + 415", "Combine constants: 10x - 315 = 5x - 380", "Subtract 5x from both sides: 5x - 315 = -380", "Add 315 to both sides: 5x = -65", "Divide both sides by 5: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x - 29) - 25 = 5(x - 159) + 415", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 29, \"c\": 25, \"d\": 5, \"e\": 159, \"g\": 415, \"x\": -13}", "seed": "94232931995880355", "semantic_fingerprint": "sha256:f5aee055554988c060ae334e858f01e26043ea0cd7e19e919cfc1e1b7596a99c", "generator_version": "3.0"}
{"id": "v3_test_id_00006560", "prompt": "Solve the equation -8(x + 88) = x - 542 for x.", "solution_steps": ["Expand: -8x - 704 = x - 542", "Subtract x from both sides: -9x - 704 = -542", "Add 704 to both sides: -9x = 162", "Divide both sides by -9: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x + 88) = x - 542", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 88, \"d\": -542, \"x\": -18}", "seed": "8527565495132796670", "semantic_fingerprint": "sha256:e7c275c15162c0e985bcdee6bcf78f1fe1eefd5b5dafea5cf1c6289929b51397", "generator_version": "3.0"}
{"id": "v3_test_id_00006561", "prompt": "What value of x satisfies 7x = 6x + 5?", "solution_steps": ["Subtract 6x from both sides: x = 5"], "final_answer": "5", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x = 6x + 5", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"d\": 5, \"x\": 5}", "seed": "18445254081478582454", "semantic_fingerprint": "sha256:161ad645459bddf735d74958c2ab784aa5566987358872e810f4791e36f49e3d", "generator_version": "3.0"}
{"id": "v3_test_id_00006562", "prompt": "Solve the equation 11x + 14 = 4(x + 96) - 510 for x.", "solution_steps": ["Expand: 11x + 14 = 4x + 384 - 510", "Combine constants: 11x + 14 = 4x - 126", "Subtract 4x from both sides: 7x + 14 = -126", "Subtract 14 from both sides: 7x = -140", "Divide both sides by 7: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 14 = 4(x + 96) - 510", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 14, \"c\": 4, \"d\": 96, \"f\": -510, \"x\": -20}", "seed": "5529616617885675104", "semantic_fingerprint": "sha256:3bac838b486850352828ba71296a04fed88ab8f63b5dc1f9daa1e172b5484a66", "generator_version": "3.0"}
{"id": "v3_test_id_00006563", "prompt": "Solve for x: 5(x + 77) - 732 = 3x - 387", "solution_steps": ["Expand: 5x + 385 - 732 = 3x - 387", "Combine constants: 5x - 347 = 3x - 387", "Subtract 3x from both sides: 2x - 347 = -387", "Add 347 to both sides: 2x = -40", "Divide both sides by 2: x = -20"], "final_answer": "-20", "answer_type": "integer", "kind": "linear_equation", "math_text": "5(x + 77) - 732 = 3x - 387", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 77, \"c\": 732, \"d\": 3, \"f\": -387, \"x\": -20}", "seed": "4698024524701974676", "semantic_fingerprint": "sha256:c3ae2dcad9ec040bf00448eff7cbd3b08705a1869f2308d2a9dadbbc6afb3245", "generator_version": "3.0"}
{"id": "v3_test_id_00006564", "prompt": "Solve for x: 2x + 871 = x + 870", "solution_steps": ["Subtract x from both sides: x + 871 = 870", "Subtract 871 from both sides: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x + 871 = x + 870", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 871, \"d\": 870, \"x\": -1}", "seed": "5453331945013512986", "semantic_fingerprint": "sha256:889cb502f6d24faa75e2918dc6d7cb6419c154e74fb6ecdbfd61846add17e27c", "generator_version": "3.0"}
{"id": "v3_test_id_00006565", "prompt": "What value of x satisfies 3(x - 7) - 69 = 2x - 77?", "solution_steps": ["Expand: 3x - 21 - 69 = 2x - 77", "Combine constants: 3x - 90 = 2x - 77", "Subtract 2x from both sides: x - 90 = -77", "Add 90 to both sides: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 7) - 69 = 2x - 77", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": 69, \"d\": 2, \"f\": -77, \"x\": 13}", "seed": "12243709602690966004", "semantic_fingerprint": "sha256:84de16510189d0534198edcfe20a808c034e5197cb4c3dba427d601262b614c9", "generator_version": "3.0"}
{"id": "v3_test_id_00006566", "prompt": "What is -30 + 316 - 0?", "solution_steps": ["Add: -30 + 316 = 286", "Subtract: 286 - 0 = 286"], "final_answer": "286", "answer_type": "integer", "kind": "expression", "math_text": "-30 + 316 - 0", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -30, \"b\": 316, \"c\": 0}", "seed": "14552560539364634830", "semantic_fingerprint": "sha256:056753d13fba8cec545cda0c553908e497367c66a519574b4784a21d8a88ae86", "generator_version": "3.0"}
{"id": "v3_test_id_00006567", "prompt": "Evaluate: (634 - 1) * 51", "solution_steps": ["Subtract: 634 - 1 = 633", "Multiply: 633 * 51 = 32283"], "final_answer": "32283", "answer_type": "integer", "kind": "expression", "math_text": "(634 - 1) * 51", "variable": null, "family": "expression_2op", "shape": "(* (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 634, \"b\": 1, \"c\": 51}", "seed": "513488488485128503", "semantic_fingerprint": "sha256:6e0f402ca9f2669e71af40cd6e1e319013bf093092b8d0e68882f43a243d10a7", "generator_version": "3.0"}
{"id": "v3_test_id_00006568", "prompt": "Evaluate: 74 - (0 - (-61))", "solution_steps": ["Subtract: 0 - (-61) = 61", "Subtract: 74 - 61 = 13"], "final_answer": "13", "answer_type": "integer", "kind": "expression", "math_text": "74 - (0 - (-61))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": 0, \"c\": -61}", "seed": "9647775880372117153", "semantic_fingerprint": "sha256:725144494b3bd2eff7c481dca37e1d0fabc675cd0717175078d95a3e74703f81", "generator_version": "3.0"}
{"id": "v3_test_id_00006569", "prompt": "Solve for x: x + 30 = 3x", "solution_steps": ["Subtract 3x from both sides: -2x + 30 = 0", "Subtract 30 from both sides: -2x = -30", "Divide both sides by -2: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 30 = 3x", "variable": "x", "family": "linear_equation", "shape": "x+c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"c\": 30, \"x\": 15}", "seed": "8964837413352618307", "semantic_fingerprint": "sha256:888edcc31a22d34f6b2104d002575841aaf1a58e4024835af0bd83f6c1bb5b89", "generator_version": "3.0"}
{"id": "v3_test_id_00006570", "prompt": "Calculate: 97 - 89", "solution_steps": ["Subtract: 97 - 89 = 8"], "final_answer": "8", "answer_type": "integer", "kind": "expression", "math_text": "97 - 89", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": 89}", "seed": "3128523873137549157", "semantic_fingerprint": "sha256:dc399bc301b16116b920156c4f3662c7ed12c0108bc2b2c67feaa94305aedc3c", "generator_version": "3.0"}
{"id": "v3_test_id_00006571", "prompt": "Calculate: -6 * (-27 + (-2))", "solution_steps": ["Add: -27 + (-2) = -29", "Multiply: -6 * (-29) = 174"], "final_answer": "174", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-27 + (-2))", "variable": null, "family": "expression_2op", "shape": "(* n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -27, \"c\": -2}", "seed": "14127136619486001328", "semantic_fingerprint": "sha256:9562425f5bea337d806bee03da87f222b57a6288f533d005dc4f11198455ea71", "generator_version": "3.0"}
{"id": "v3_test_id_00006572", "prompt": "What is (7 - (-20) - (-5) * 4) * (-90 + (-98))?", "solution_steps": ["Subtract: 7 - (-20) = 27", "Multiply: -5 * 4 = -20", "Subtract: 27 - (-20) = 47", "Add: -90 + (-98) = -188", "Multiply: 47 * (-188) = -8836"], "final_answer": "-8836", "answer_type": "integer", "kind": "expression", "math_text": "(7 - (-20) - (-5) * 4) * (-90 + (-98))", "variable": null, "family": "expression_5op", "shape": "(* (- (- n n) (* n n)) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -20, \"c\": -5, \"d\": 4, \"e\": -90, \"f\": -98}", "seed": "8021683446828536597", "semantic_fingerprint": "sha256:1c05ae98ab18bf7f4e31542b7f593594d4a662f758b0a5c80cb882712794800a", "generator_version": "3.0"}
{"id": "v3_test_id_00006573", "prompt": "Calculate: 55 + (-335) * (-90)", "solution_steps": ["Multiply: -335 * (-90) = 30150", "Add: 55 + 30150 = 30205"], "final_answer": "30205", "answer_type": "integer", "kind": "expression", "math_text": "55 + (-335) * (-90)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 55, \"b\": -335, \"c\": -90}", "seed": "17666974330660981516", "semantic_fingerprint": "sha256:d39f13bc036b89554c4466970e950932a684635ace91c61f2e86912a531a137a", "generator_version": "3.0"}
{"id": "v3_test_id_00006574", "prompt": "Calculate: -2 + (-19) - (-1 + 17 + 30 / 96)", "solution_steps": ["Add: -2 + (-19) = -21", "Add: -1 + 17 = 16", "Divide: 30 / 96 = 5/16", "Add: 16 + 5/16 = 261/16", "Subtract: -21 - 261/16 = -597/16"], "final_answer": "-597/16", "answer_type": "rational", "kind": "expression", "math_text": "-2 + (-19) - (-1 + 17 + 30 / 96)", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (+ (+ n n) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -19, \"c\": -1, \"d\": 17, \"e\": 30, \"f\": 96}", "seed": "17444857628668435252", "semantic_fingerprint": "sha256:f102107bed6d77f0a566bbeca1d4092fae5c3a936922bbd4027d4d4c898dccff", "generator_version": "3.0"}
{"id": "v3_test_id_00006575", "prompt": "Solve for x: -9x = x + 100", "solution_steps": ["Subtract x from both sides: -10x = 100", "Divide both sides by -10: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9x = x + 100", "variable": "x", "family": "linear_equation", "shape": "kx=x+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"c\": 100, \"x\": -10}", "seed": "13306320501772965004", "semantic_fingerprint": "sha256:26355bfca7f29e931bd55d5230beb349bbda1f72cf30b57bd800617d295ece14", "generator_version": "3.0"}
{"id": "v3_test_id_00006576", "prompt": "Evaluate: -2 + (0 + (-85)) * (-43 + 44)", "solution_steps": ["Add: 0 + (-85) = -85", "Add: -43 + 44 = 1", "Multiply: -85 * 1 = -85", "Add: -2 + (-85) = -87"], "final_answer": "-87", "answer_type": "integer", "kind": "expression", "math_text": "-2 + (0 + (-85)) * (-43 + 44)", "variable": null, "family": "expression_4op", "shape": "(+ n (* (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 0, \"c\": -85, \"d\": -43, \"e\": 44}", "seed": "6657603925894552211", "semantic_fingerprint": "sha256:341f5a76be92450907908e43bb010a5f6cd636d2adc5081bc7b0914096ee8c8b", "generator_version": "3.0"}
{"id": "v3_test_id_00006577", "prompt": "Compute: -5 - (19 - (-741)) - (-90)", "solution_steps": ["Subtract: 19 - (-741) = 760", "Subtract: -5 - 760 = -765", "Subtract: -765 - (-90) = -675"], "final_answer": "-675", "answer_type": "integer", "kind": "expression", "math_text": "-5 - (19 - (-741)) - (-90)", "variable": null, "family": "expression_3op", "shape": "(- (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 19, \"c\": -741, \"d\": -90}", "seed": "14035128158145141454", "semantic_fingerprint": "sha256:f2a7e5f2434ab4121f00012cb0c9c61fa5a3db00d386299df13260d66518f9c1", "generator_version": "3.0"}
{"id": "v3_test_id_00006578", "prompt": "Compute: ((551 - 4) * (294 / 79) - (-4)) * 4", "solution_steps": ["Subtract: 551 - 4 = 547", "Divide: 294 / 79 = 294/79", "Multiply: 547 * (294/79) = 160818/79", "Subtract: 160818/79 - (-4) = 161134/79", "Multiply: (161134/79) * 4 = 644536/79"], "final_answer": "644536/79", "answer_type": "rational", "kind": "expression", "math_text": "((551 - 4) * (294 / 79) - (-4)) * 4", "variable": null, "family": "expression_5op", "shape": "(* (- (* (- n n) (/ n n)) n) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 551, \"b\": 4, \"c\": 294, \"d\": 79, \"e\": -4, \"f\": 4}", "seed": "11345361588232828334", "semantic_fingerprint": "sha256:436f5b7c8a0e41eac414f9305201d652c21e459f85c530dd4a83e4665ad202e9", "generator_version": "3.0"}
{"id": "v3_test_id_00006579", "prompt": "Calculate: 60 * 82 / (10 * (-91)) * 550", "solution_steps": ["Multiply: 60 * 82 = 4920", "Multiply: 10 * (-91) = -910", "Divide: 4920 / (-910) = -492/91", "Multiply: (-492/91) * 550 = -270600/91"], "final_answer": "-270600/91", "answer_type": "rational", "kind": "expression", "math_text": "60 * 82 / (10 * (-91)) * 550", "variable": null, "family": "expression_4op", "shape": "(* (/ (* n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": 82, \"c\": 10, \"d\": -91, \"e\": 550}", "seed": "17196832073447114126", "semantic_fingerprint": "sha256:5f1ce6c4662a6bf0686e6b5722d13c678842ee71ee4b737a5c5494e1fdbd9dd2", "generator_version": "3.0"}
{"id": "v3_test_id_00006580", "prompt": "What is -69 - 82 * 788?", "solution_steps": ["Multiply: 82 * 788 = 64616", "Subtract: -69 - 64616 = -64685"], "final_answer": "-64685", "answer_type": "integer", "kind": "expression", "math_text": "-69 - 82 * 788", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": 82, \"c\": 788}", "seed": "4311445723659681584", "semantic_fingerprint": "sha256:9506ccd215a0aa0cb579c8a677a6f9327cca440e21b839e0080fcbf13e4e4b43", "generator_version": "3.0"}
{"id": "v3_test_id_00006581", "prompt": "Solve the equation 12(x - 1) = -82 for x.", "solution_steps": ["Expand: 12x - 12 = -82", "Add 12 to both sides: 12x = -70", "Divide both sides by 12: x = -35/6"], "final_answer": "-35/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "12(x - 1) = -82", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 1, \"c\": -82}", "seed": "4464443683270411729", "semantic_fingerprint": "sha256:9285691587599dbef91d2059577d50db044c4ff4a97bfad3f70dff3bab32d84c", "generator_version": "3.0"}
{"id": "v3_test_id_00006582", "prompt": "Compute: -79 - 5", "solution_steps": ["Subtract: -79 - 5 = -84"], "final_answer": "-84", "answer_type": "integer", "kind": "expression", "math_text": "-79 - 5", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -79, \"b\": 5}", "seed": "18282191317455348718", "semantic_fingerprint": "sha256:06f7ad2dc2d1649ed3c5ff6ad71bfeae9b64c830dbdef72b5289cc65e0fc6227", "generator_version": "3.0"}
{"id": "v3_test_id_00006583", "prompt": "Solve the equation 11x - 8 = -3(x - 3) - 45 for x.", "solution_steps": ["Expand: 11x - 8 = -3x + 9 - 45", "Combine constants: 11x - 8 = -3x - 36", "Add 3x to both sides: 14x - 8 = -36", "Add 8 to both sides: 14x = -28", "Divide both sides by 14: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 8 = -3(x - 3) - 45", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 8, \"c\": -3, \"d\": 3, \"f\": -45, \"x\": -2}", "seed": "18218499659287193419", "semantic_fingerprint": "sha256:b4ccb393ce1cc1fd86df9c0c9ae27eb16dec50d41d5263d156fc2430a4ceb666", "generator_version": "3.0"}
{"id": "v3_test_id_00006584", "prompt": "Evaluate: -9 / (-18) * (-4)", "solution_steps": ["Divide: -9 / (-18) = 1/2", "Multiply: (1/2) * (-4) = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "expression", "math_text": "-9 / (-18) * (-4)", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -18, \"c\": -4}", "seed": "16973884854904658674", "semantic_fingerprint": "sha256:f43d1b19d6f2cf4fdbef6088e175f01c793080492c176ef0482d3392a440f65f", "generator_version": "3.0"}
{"id": "v3_test_id_00006585", "prompt": "Solve the equation 7x + 6 = -3(x + 9) - 710 for x.", "solution_steps": ["Expand: 7x + 6 = -3x - 27 - 710", "Combine constants: 7x + 6 = -3x - 737", "Add 3x to both sides: 10x + 6 = -737", "Subtract 6 from both sides: 10x = -743", "Divide both sides by 10: x = -743/10"], "final_answer": "-743/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "7x + 6 = -3(x + 9) - 710", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 6, \"c\": -3, \"d\": 9, \"e\": 710}", "seed": "7109942753018892573", "semantic_fingerprint": "sha256:fda2fb7c5f760396cd33fcfac7367acb27ed0b3c4b3a7f97c5d9b8f0666e7650", "generator_version": "3.0"}
{"id": "v3_test_id_00006586", "prompt": "Compute: (-363 - 853) / (863 + (-86))", "solution_steps": ["Subtract: -363 - 853 = -1216", "Add: 863 + (-86) = 777", "Divide: -1216 / 777 = -1216/777"], "final_answer": "-1216/777", "answer_type": "rational", "kind": "expression", "math_text": "(-363 - 853) / (863 + (-86))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -363, \"b\": 853, \"c\": 863, \"d\": -86}", "seed": "8763350669374516622", "semantic_fingerprint": "sha256:8a6827141ccdffe50e92d9ed7471324c022cf154bd2fb872e6e51f713c8985d1", "generator_version": "3.0"}
{"id": "v3_test_id_00006587", "prompt": "Compute: 584 * (1 * (-33))", "solution_steps": ["Multiply: 1 * (-33) = -33", "Multiply: 584 * (-33) = -19272"], "final_answer": "-19272", "answer_type": "integer", "kind": "expression", "math_text": "584 * (1 * (-33))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 584, \"b\": 1, \"c\": -33}", "seed": "7917161406982529222", "semantic_fingerprint": "sha256:3261bc19e798fba773e5144ae5d645912b1dab36668cc5433b4bcf7a12588cd8", "generator_version": "3.0"}
{"id": "v3_test_id_00006588", "prompt": "What value of x satisfies 7x - 3 = 5(x + 76) - 365?", "solution_steps": ["Expand: 7x - 3 = 5x + 380 - 365", "Combine constants: 7x - 3 = 5x + 15", "Subtract 5x from both sides: 2x - 3 = 15", "Add 3 to both sides: 2x = 18", "Divide both sides by 2: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 3 = 5(x + 76) - 365", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 3, \"c\": 5, \"d\": 76, \"f\": -365, \"x\": 9}", "seed": "12295885435215741903", "semantic_fingerprint": "sha256:57b92e0549b94938b3b09f1505cf46af553f59f0e1fcaf69bc33d7820a04ef74", "generator_version": "3.0"}
{"id": "v3_test_id_00006589", "prompt": "Find x: -2x = 3x + 95", "solution_steps": ["Subtract 3x from both sides: -5x = 95", "Divide both sides by -5: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-2x = 3x + 95", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 3, \"c\": 95}", "seed": "5330700365560312209", "semantic_fingerprint": "sha256:74b4b62a4403e6419062daac04257b8308129a332917f3a63beb9662984a5838", "generator_version": "3.0"}
{"id": "v3_test_id_00006590", "prompt": "What value of x satisfies 10x + 4 = 5(x + 8) - 91?", "solution_steps": ["Expand: 10x + 4 = 5x + 40 - 91", "Combine constants: 10x + 4 = 5x - 51", "Subtract 5x from both sides: 5x + 4 = -51", "Subtract 4 from both sides: 5x = -55", "Divide both sides by 5: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x + 4 = 5(x + 8) - 91", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 4, \"c\": 5, \"d\": 8, \"f\": -91, \"x\": -11}", "seed": "7612656820305146484", "semantic_fingerprint": "sha256:01f1a330213b5af853b38fba1b272b383160311a2a3043f77ca181a5d80a43a7", "generator_version": "3.0"}
{"id": "v3_test_id_00006591", "prompt": "Evaluate: (23 + (-726 + 31)) * (-83 + (34 - (-90)))", "solution_steps": ["Add: -726 + 31 = -695", "Add: 23 + (-695) = -672", "Subtract: 34 - (-90) = 124", "Add: -83 + 124 = 41", "Multiply: -672 * 41 = -27552"], "final_answer": "-27552", "answer_type": "integer", "kind": "expression", "math_text": "(23 + (-726 + 31)) * (-83 + (34 - (-90)))", "variable": null, "family": "expression_5op", "shape": "(* (+ n (+ n n)) (+ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": -726, \"c\": 31, \"d\": -83, \"e\": 34, \"f\": -90}", "seed": "10318895242652350015", "semantic_fingerprint": "sha256:d775e567ddd534922184f12bac70c9463cce2ada2f6aa6f34649abfdd52b875e", "generator_version": "3.0"}
{"id": "v3_test_id_00006592", "prompt": "Calculate: (9 - (-4) - (-99)) / (-358)", "solution_steps": ["Subtract: 9 - (-4) = 13", "Subtract: 13 - (-99) = 112", "Divide: 112 / (-358) = -56/179"], "final_answer": "-56/179", "answer_type": "rational", "kind": "expression", "math_text": "(9 - (-4) - (-99)) / (-358)", "variable": null, "family": "expression_3op", "shape": "(/ (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -4, \"c\": -99, \"d\": -358}", "seed": "13623646058556676599", "semantic_fingerprint": "sha256:f0a7de7cafca597eeda5b886aec4f25520b82f7ec3e0d8d5d983ee6de90b0694", "generator_version": "3.0"}
{"id": "v3_test_id_00006593", "prompt": "Compute: 30 / (276 + (-813 - (-355)) + 870)", "solution_steps": ["Subtract: -813 - (-355) = -458", "Add: 276 + (-458) = -182", "Add: -182 + 870 = 688", "Divide: 30 / 688 = 15/344"], "final_answer": "15/344", "answer_type": "rational", "kind": "expression", "math_text": "30 / (276 + (-813 - (-355)) + 870)", "variable": null, "family": "expression_4op", "shape": "(/ n (+ (+ n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 30, \"b\": 276, \"c\": -813, \"d\": -355, \"e\": 870}", "seed": "18231204765419315229", "semantic_fingerprint": "sha256:b3aed5b75910a2f681fef67f461c5e5264c5b48a60914e71a352f75efc463f34", "generator_version": "3.0"}
{"id": "v3_test_id_00006594", "prompt": "What is 7 - (-20) / (-6) / (-49)?", "solution_steps": ["Divide: -20 / (-6) = 10/3", "Divide: (10/3) / (-49) = -10/147", "Subtract: 7 - (-10/147) = 1039/147"], "final_answer": "1039/147", "answer_type": "rational", "kind": "expression", "math_text": "7 - (-20) / (-6) / (-49)", "variable": null, "family": "expression_3op", "shape": "(- n (/ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -20, \"c\": -6, \"d\": -49}", "seed": "18335072127255699173", "semantic_fingerprint": "sha256:0c5a13cfb2ae62400e6524f86a678896eaed0d3f2c9202466c43b6763a568b43", "generator_version": "3.0"}
{"id": "v3_test_id_00006595", "prompt": "Calculate: 7 / ((688 - (-968)) * (-25 / 87) / 790)", "solution_steps": ["Subtract: 688 - (-968) = 1656", "Divide: -25 / 87 = -25/87", "Multiply: 1656 * (-25/87) = -13800/29", "Divide: (-13800/29) / 790 = -1380/2291", "Divide: 7 / (-1380/2291) = -16037/1380"], "final_answer": "-16037/1380", "answer_type": "rational", "kind": "expression", "math_text": "7 / ((688 - (-968)) * (-25 / 87) / 790)", "variable": null, "family": "expression_5op", "shape": "(/ n (/ (* (- n n) (/ n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 688, \"c\": -968, \"d\": -25, \"e\": 87, \"f\": 790}", "seed": "11709726742370648989", "semantic_fingerprint": "sha256:8582f6c244beeebdff60ecd1a32b88723021dc7e7883fa905d2f6ebc03dbe399", "generator_version": "3.0"}
{"id": "v3_test_id_00006596", "prompt": "Solve for x: 8(x + 1) = x - 118", "solution_steps": ["Expand: 8x + 8 = x - 118", "Subtract x from both sides: 7x + 8 = -118", "Subtract 8 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 + 1) = x - 118", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1, \"d\": -118, \"x\": -18}", "seed": "130786253166670169", "semantic_fingerprint": "sha256:8564be5bbe3e1f99d0e656b4222dd66cd16dbf56806c368665da27874c74d19e", "generator_version": "3.0"}
{"id": "v3_test_id_00006597", "prompt": "What is (-4 / 4 + 1) * (6 * 546)?", "solution_steps": ["Divide: -4 / 4 = -1", "Add: -1 + 1 = 0", "Multiply: 6 * 546 = 3276", "Multiply: 0 * 3276 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "(-4 / 4 + 1) * (6 * 546)", "variable": null, "family": "expression_4op", "shape": "(* (+ (/ n n) n) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 4, \"c\": 1, \"d\": 6, \"e\": 546}", "seed": "5006515272397223446", "semantic_fingerprint": "sha256:15be4611d5c2582ca2b252b231f0ac8b88529f5dbbd819ae9c279cb74aaf83f9", "generator_version": "3.0"}
{"id": "v3_test_id_00006598", "prompt": "Solve the equation 11x = 6(x - 5) for x.", "solution_steps": ["Expand: 11x = 6x - 30", "Subtract 6x from both sides: 5x = -30", "Divide both sides by 5: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = 6(x - 5)", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 6, \"c\": 5}", "seed": "18445110502542881163", "semantic_fingerprint": "sha256:d7f09a9a1e9430ccf4d9cddc2388b4b4ff3b152ce865f95d8e845e39fcc283df", "generator_version": "3.0"}
{"id": "v3_test_id_00006599", "prompt": "Solve for x: 11x = -9x + 43", "solution_steps": ["Add 9x to both sides: 20x = 43", "Divide both sides by 20: x = 43/20"], "final_answer": "43/20", "answer_type": "rational", "kind": "linear_equation", "math_text": "11x = -9x + 43", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -9, \"c\": 43}", "seed": "16372406631689991831", "semantic_fingerprint": "sha256:40131ed71d462da83aa93078d8f36fb388a9060540472158409eba0ca82ef244", "generator_version": "3.0"}
{"id": "v3_test_id_00006600", "prompt": "Calculate: 19 / 14", "solution_steps": ["Divide: 19 / 14 = 19/14"], "final_answer": "19/14", "answer_type": "rational", "kind": "expression", "math_text": "19 / 14", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 19, \"b\": 14}", "seed": "13032265504150653215", "semantic_fingerprint": "sha256:95bca59a70c884ef14d269a9cd63708d319024881cd8c034f585c078fd886625", "generator_version": "3.0"}
{"id": "v3_test_id_00006601", "prompt": "What is (-90 - 85) / (-88 + 8)?", "solution_steps": ["Subtract: -90 - 85 = -175", "Add: -88 + 8 = -80", "Divide: -175 / (-80) = 35/16"], "final_answer": "35/16", "answer_type": "rational", "kind": "expression", "math_text": "(-90 - 85) / (-88 + 8)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": 85, \"c\": -88, \"d\": 8}", "seed": "8094760293787418790", "semantic_fingerprint": "sha256:fb1916794250ac31400dc4abd40931f2ee6ee65082af7fd421963b5429087b5f", "generator_version": "3.0"}
{"id": "v3_test_id_00006602", "prompt": "Evaluate: 96 - (542 + 4) / (1 + (-78))", "solution_steps": ["Add: 542 + 4 = 546", "Add: 1 + (-78) = -77", "Divide: 546 / (-77) = -78/11", "Subtract: 96 - (-78/11) = 1134/11"], "final_answer": "1134/11", "answer_type": "rational", "kind": "expression", "math_text": "96 - (542 + 4) / (1 + (-78))", "variable": null, "family": "expression_4op", "shape": "(- n (/ (+ n n) (+ n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": 542, \"c\": 4, \"d\": 1, \"e\": -78}", "seed": "8828294373067121456", "semantic_fingerprint": "sha256:bc24bf2b456c4e329940134730fff831d9a8770f0e8968d711b96c6dec9d7754", "generator_version": "3.0"}
{"id": "v3_test_id_00006603", "prompt": "Evaluate: -1 + (-50 - 11 * (-56))", "solution_steps": ["Multiply: 11 * (-56) = -616", "Subtract: -50 - (-616) = 566", "Add: -1 + 566 = 565"], "final_answer": "565", "answer_type": "integer", "kind": "expression", "math_text": "-1 + (-50 - 11 * (-56))", "variable": null, "family": "expression_3op", "shape": "(+ n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -50, \"c\": 11, \"d\": -56}", "seed": "9657471799124686718", "semantic_fingerprint": "sha256:3b6382474253ec1f173079b17643688482e4177abd414ccefbc1efe684eeb57d", "generator_version": "3.0"}
{"id": "v3_test_id_00006604", "prompt": "What is -29 / (6 * 4)?", "solution_steps": ["Multiply: 6 * 4 = 24", "Divide: -29 / 24 = -29/24"], "final_answer": "-29/24", "answer_type": "rational", "kind": "expression", "math_text": "-29 / (6 * 4)", "variable": null, "family": "expression_2op", "shape": "(/ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -29, \"b\": 6, \"c\": 4}", "seed": "1384995330324625372", "semantic_fingerprint": "sha256:6ea91d95b20f1d3d277808f9a1f58a3a9805f4b041a21f09d38ec7aad1923d69", "generator_version": "3.0"}
{"id": "v3_test_id_00006605", "prompt": "Compute: 739 * (-37)", "solution_steps": ["Multiply: 739 * (-37) = -27343"], "final_answer": "-27343", "answer_type": "integer", "kind": "expression", "math_text": "739 * (-37)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 739, \"b\": -37}", "seed": "13736541228498034984", "semantic_fingerprint": "sha256:4c2d0918f5516d7b7db1a6c00348dce9033e34566fb279dea99d39bebd2c9bfd", "generator_version": "3.0"}
{"id": "v3_test_id_00006606", "prompt": "What is (-7 + 4) / (-3 * 41)?", "solution_steps": ["Add: -7 + 4 = -3", "Multiply: -3 * 41 = -123", "Divide: -3 / (-123) = 1/41"], "final_answer": "1/41", "answer_type": "rational", "kind": "expression", "math_text": "(-7 + 4) / (-3 * 41)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 4, \"c\": -3, \"d\": 41}", "seed": "16724119658638248900", "semantic_fingerprint": "sha256:4d219191fe6c1e3146a89f2070ca10ec67be140982969f522b1b5e97d31ee853", "generator_version": "3.0"}
{"id": "v3_test_id_00006607", "prompt": "Solve the equation 11x + 106 = 9(x + 1) + 115 for x.", "solution_steps": ["Expand: 11x + 106 = 9x + 9 + 115", "Combine constants: 11x + 106 = 9x + 124", "Subtract 9x from both sides: 2x + 106 = 124", "Subtract 106 from both sides: 2x = 18", "Divide both sides by 2: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x + 106 = 9(x + 1) + 115", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 106, \"c\": 9, \"d\": 1, \"f\": 115, \"x\": 9}", "seed": "10097026856871766659", "semantic_fingerprint": "sha256:a52e2492d9e0d1494ef190ec4f777e1d41036852d9d077a6b33e4a3c7e139c44", "generator_version": "3.0"}
{"id": "v3_test_id_00006608", "prompt": "What is 96 * 96?", "solution_steps": ["Multiply: 96 * 96 = 9216"], "final_answer": "9216", "answer_type": "integer", "kind": "expression", "math_text": "96 * 96", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": 96}", "seed": "15831383733252813793", "semantic_fingerprint": "sha256:9e9bbf75d3b050e9f54123c2d67fee24c2ff34334874f87ac77db7700dd8bb3f", "generator_version": "3.0"}
{"id": "v3_test_id_00006609", "prompt": "Evaluate: -9 / 53", "solution_steps": ["Divide: -9 / 53 = -9/53"], "final_answer": "-9/53", "answer_type": "rational", "kind": "expression", "math_text": "-9 / 53", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 53}", "seed": "6019898168104077256", "semantic_fingerprint": "sha256:926819eeee6f6aa766de287f973bbad8e51ea12caa216854e5bbeb731af1a7f5", "generator_version": "3.0"}
{"id": "v3_test_id_00006610", "prompt": "Find x: -3(x + 57) - 8 = 5x + 659", "solution_steps": ["Expand: -3x - 171 - 8 = 5x + 659", "Combine constants: -3x - 179 = 5x + 659", "Subtract 5x from both sides: -8x - 179 = 659", "Add 179 to both sides: -8x = 838", "Divide both sides by -8: x = -419/4"], "final_answer": "-419/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "-3(x + 57) - 8 = 5x + 659", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 57, \"c\": 8, \"d\": 5, \"e\": 659}", "seed": "15678110174379271734", "semantic_fingerprint": "sha256:6148daf583fea8c9f4a4cbdae4a212764d2b7492c3def1ae5ec305dac1790a92", "generator_version": "3.0"}
{"id": "v3_test_id_00006611", "prompt": "Compute: 64 + 83 - 9 - (-2)", "solution_steps": ["Add: 64 + 83 = 147", "Subtract: 147 - 9 = 138", "Subtract: 138 - (-2) = 140"], "final_answer": "140", "answer_type": "integer", "kind": "expression", "math_text": "64 + 83 - 9 - (-2)", "variable": null, "family": "expression_3op", "shape": "(- (- (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 64, \"b\": 83, \"c\": 9, \"d\": -2}", "seed": "3578421986621672680", "semantic_fingerprint": "sha256:4161307f2baf0ec68695ec9a544f8b0eb8bcfa7b977452c2be184d115d65181b", "generator_version": "3.0"}
{"id": "v3_test_id_00006612", "prompt": "Evaluate: -51 * (5 - (-734))", "solution_steps": ["Subtract: 5 - (-734) = 739", "Multiply: -51 * 739 = -37689"], "final_answer": "-37689", "answer_type": "integer", "kind": "expression", "math_text": "-51 * (5 - (-734))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -51, \"b\": 5, \"c\": -734}", "seed": "7456840877555521997", "semantic_fingerprint": "sha256:0002a2bc6c6e742b826fbbafa7f03806ade2650e5faee26aa33bba1e5368c330", "generator_version": "3.0"}
{"id": "v3_test_id_00006613", "prompt": "Find x: x + 3 = 5x - 61", "solution_steps": ["Subtract 5x from both sides: -4x + 3 = -61", "Subtract 3 from both sides: -4x = -64", "Divide both sides by -4: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 3 = 5x - 61", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 5, \"d\": -61, \"x\": 16}", "seed": "2408604083166943164", "semantic_fingerprint": "sha256:fa07588ce22fcd715577e052d1ecdbb61415fd167100d381c6e55cdf7bcf489a", "generator_version": "3.0"}
{"id": "v3_test_id_00006614", "prompt": "What is -64 * (-51) / (-5 / (-8))?", "solution_steps": ["Multiply: -64 * (-51) = 3264", "Divide: -5 / (-8) = 5/8", "Divide: 3264 / (5/8) = 26112/5"], "final_answer": "26112/5", "answer_type": "rational", "kind": "expression", "math_text": "-64 * (-51) / (-5 / (-8))", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -64, \"b\": -51, \"c\": -5, \"d\": -8}", "seed": "8889239692466225671", "semantic_fingerprint": "sha256:6b671d48b65bca6a68aa73a7eaf9c4aaa2dbdc45654c2f014b3089c5b1bf78e3", "generator_version": "3.0"}
{"id": "v3_test_id_00006615", "prompt": "What value of x satisfies -9(x - 50) = 342?", "solution_steps": ["Expand: -9x + 450 = 342", "Subtract 450 from both sides: -9x = -108", "Divide both sides by -9: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "-9(x - 50) = 342", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 50, \"d\": 342, \"x\": 12}", "seed": "1809507657169078002", "semantic_fingerprint": "sha256:406947fb513796cf7aae34c4dd609c53eb084076849c7fd9dcad08c03ea40a18", "generator_version": "3.0"}
{"id": "v3_test_id_00006616", "prompt": "Evaluate: 3 + 9 - (-28) / 440", "solution_steps": ["Add: 3 + 9 = 12", "Divide: -28 / 440 = -7/110", "Subtract: 12 - (-7/110) = 1327/110"], "final_answer": "1327/110", "answer_type": "rational", "kind": "expression", "math_text": "3 + 9 - (-28) / 440", "variable": null, "family": "expression_3op", "shape": "(- (+ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 9, \"c\": -28, \"d\": 440}", "seed": "8198111946428162491", "semantic_fingerprint": "sha256:4d75c534f342405f184c1e07006b3fa4d67371dd2d1522dcb1b1ecdcfcde436b", "generator_version": "3.0"}
{"id": "v3_test_id_00006617", "prompt": "Find x: 12(x + 6) + 39 = -3(x - 7)", "solution_steps": ["Expand: 12x + 72 + 39 = -3(x - 7)", "Expand: 12x + 72 + 39 = -3x + 21", "Combine constants: 12x + 111 = -3x + 21", "Add 3x to both sides: 15x + 111 = 21", "Subtract 111 from both sides: 15x = -90", "Divide both sides by 15: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 6) + 39 = -3(x - 7)", "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\": -3, \"d\": 7, \"f\": 39, \"x\": -6}", "seed": "8287338198367902060", "semantic_fingerprint": "sha256:627479105a69f4ba864359650417167933ac5bba1dcd5fd89b0faf9d747c959a", "generator_version": "3.0"}
{"id": "v3_test_id_00006618", "prompt": "Calculate: -97 - (292 - 495)", "solution_steps": ["Subtract: 292 - 495 = -203", "Subtract: -97 - (-203) = 106"], "final_answer": "106", "answer_type": "integer", "kind": "expression", "math_text": "-97 - (292 - 495)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -97, \"b\": 292, \"c\": 495}", "seed": "9923184770109429626", "semantic_fingerprint": "sha256:7155f3afba04fd63cc2d17da5d7b8a94d9b0a1aceaf14d83dc7b72359fe1ab3d", "generator_version": "3.0"}
{"id": "v3_test_id_00006619", "prompt": "Evaluate: 7 * 0 / 2 + (-9 - (-54)) / 958", "solution_steps": ["Multiply: 7 * 0 = 0", "Divide: 0 / 2 = 0", "Subtract: -9 - (-54) = 45", "Divide: 45 / 958 = 45/958", "Add: 0 + 45/958 = 45/958"], "final_answer": "45/958", "answer_type": "rational", "kind": "expression", "math_text": "7 * 0 / 2 + (-9 - (-54)) / 958", "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\": -9, \"e\": -54, \"f\": 958}", "seed": "1918983457349801065", "semantic_fingerprint": "sha256:7fda1e44a901ceba32d2418b3b9789c3ab629588b1886df54de954d6199d9ab5", "generator_version": "3.0"}
{"id": "v3_test_id_00006620", "prompt": "What value of x satisfies 12(x + 9) - 75 = x?", "solution_steps": ["Expand: 12x + 108 - 75 = x", "Combine constants: 12x + 33 = x", "Subtract x from both sides: 11x + 33 = 0", "Subtract 33 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 + 9) - 75 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 9, \"d\": -75, \"x\": -3}", "seed": "7892963669256777586", "semantic_fingerprint": "sha256:b7830a552c405018f84d88f96170be9519f185e4402eeedc101764f98b8986f7", "generator_version": "3.0"}
{"id": "v3_test_id_00006621", "prompt": "Compute: 0 / 1 + 8 + (-65) * (7 * 64)", "solution_steps": ["Divide: 0 / 1 = 0", "Add: 0 + 8 = 8", "Multiply: 7 * 64 = 448", "Multiply: -65 * 448 = -29120", "Add: 8 + (-29120) = -29112"], "final_answer": "-29112", "answer_type": "integer", "kind": "expression", "math_text": "0 / 1 + 8 + (-65) * (7 * 64)", "variable": null, "family": "expression_5op", "shape": "(+ (+ (/ n n) n) (* n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 1, \"c\": 8, \"d\": -65, \"e\": 7, \"f\": 64}", "seed": "6616872071777679981", "semantic_fingerprint": "sha256:3d0a2929af8d69091a5b19294454d9b2ebe8d9fc5081c592f6975bcab0371049", "generator_version": "3.0"}
{"id": "v3_test_id_00006622", "prompt": "Evaluate: 4 + 16", "solution_steps": ["Add: 4 + 16 = 20"], "final_answer": "20", "answer_type": "integer", "kind": "expression", "math_text": "4 + 16", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 16}", "seed": "12341572725500262637", "semantic_fingerprint": "sha256:e51d8f6cd73d6126d16722081ce96f7ff051442631555801596f131ea8ba743d", "generator_version": "3.0"}
{"id": "v3_test_id_00006623", "prompt": "What is (-23 - (-2)) * (7 * (1 * 77))?", "solution_steps": ["Subtract: -23 - (-2) = -21", "Multiply: 1 * 77 = 77", "Multiply: 7 * 77 = 539", "Multiply: -21 * 539 = -11319"], "final_answer": "-11319", "answer_type": "integer", "kind": "expression", "math_text": "(-23 - (-2)) * (7 * (1 * 77))", "variable": null, "family": "expression_4op", "shape": "(* (- n n) (* n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -23, \"b\": -2, \"c\": 7, \"d\": 1, \"e\": 77}", "seed": "7061259621944597162", "semantic_fingerprint": "sha256:c8e50c1044891d1276e80d73ae74f05fe5c6445f804ddce5042f20013806d102", "generator_version": "3.0"}
{"id": "v3_test_id_00006624", "prompt": "What is 50 + (34 - (-891))?", "solution_steps": ["Subtract: 34 - (-891) = 925", "Add: 50 + 925 = 975"], "final_answer": "975", "answer_type": "integer", "kind": "expression", "math_text": "50 + (34 - (-891))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 50, \"b\": 34, \"c\": -891}", "seed": "293461950994965352", "semantic_fingerprint": "sha256:34b5eed96f4254b7ab341e3a8578b6681e44b6ce398e4f095fee69a0aad25db4", "generator_version": "3.0"}
{"id": "v3_test_id_00006625", "prompt": "Solve for x: x - 272 = 6(x - 32)", "solution_steps": ["Expand: x - 272 = 6x - 192", "Subtract 6x from both sides: -5x - 272 = -192", "Add 272 to both sides: -5x = 80", "Divide both sides by -5: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 272 = 6(x - 32)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x-b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 32, \"d\": -272, \"x\": -16}", "seed": "7893500663607845714", "semantic_fingerprint": "sha256:5cda875fe9a3468c277260635cc57858cb37db60495b27fbd79c1d1dbc31c0e0", "generator_version": "3.0"}
{"id": "v3_test_id_00006626", "prompt": "Compute: (-55 * (-211) + (-979)) / (-98)", "solution_steps": ["Multiply: -55 * (-211) = 11605", "Add: 11605 + (-979) = 10626", "Divide: 10626 / (-98) = -759/7"], "final_answer": "-759/7", "answer_type": "rational", "kind": "expression", "math_text": "(-55 * (-211) + (-979)) / (-98)", "variable": null, "family": "expression_3op", "shape": "(/ (+ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": -211, \"c\": -979, \"d\": -98}", "seed": "11763964093540855942", "semantic_fingerprint": "sha256:84c5b896d79c88a873098fc6a73de75d06c020ad65327156e1a1e2d719447a98", "generator_version": "3.0"}
{"id": "v3_test_id_00006627", "prompt": "Evaluate: -47 * (38 * 2)", "solution_steps": ["Multiply: 38 * 2 = 76", "Multiply: -47 * 76 = -3572"], "final_answer": "-3572", "answer_type": "integer", "kind": "expression", "math_text": "-47 * (38 * 2)", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": 38, \"c\": 2}", "seed": "1884957685705566846", "semantic_fingerprint": "sha256:f7db169a5a3cf1c4c2e3a10d6c81b45a001c6ed60e9264566a26ba5d0a5b9176", "generator_version": "3.0"}
{"id": "v3_test_id_00006628", "prompt": "Evaluate: (891 - 888) / (-10 - (-623))", "solution_steps": ["Subtract: 891 - 888 = 3", "Subtract: -10 - (-623) = 613", "Divide: 3 / 613 = 3/613"], "final_answer": "3/613", "answer_type": "rational", "kind": "expression", "math_text": "(891 - 888) / (-10 - (-623))", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 891, \"b\": 888, \"c\": -10, \"d\": -623}", "seed": "6694726755263960127", "semantic_fingerprint": "sha256:7e668bb952354e25789f11679223a78660324828491970d2cfb51a62f99e9392", "generator_version": "3.0"}
{"id": "v3_test_id_00006629", "prompt": "What is -8 * 461 - (-98) * (-200)?", "solution_steps": ["Multiply: -8 * 461 = -3688", "Multiply: -98 * (-200) = 19600", "Subtract: -3688 - 19600 = -23288"], "final_answer": "-23288", "answer_type": "integer", "kind": "expression", "math_text": "-8 * 461 - (-98) * (-200)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 461, \"c\": -98, \"d\": -200}", "seed": "7646575352468384707", "semantic_fingerprint": "sha256:958bcc0d3d52b289e0c9732e3ac013a379007d96a78da1a8da6bd5d2a22b5c36", "generator_version": "3.0"}
{"id": "v3_test_id_00006630", "prompt": "Calculate: 79 + (2 + 0)", "solution_steps": ["Add: 2 + 0 = 2", "Add: 79 + 2 = 81"], "final_answer": "81", "answer_type": "integer", "kind": "expression", "math_text": "79 + (2 + 0)", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": 2, \"c\": 0}", "seed": "13768100990740714749", "semantic_fingerprint": "sha256:2262b6c10686af72ded45cbd5a80bcac57bf6d95794047f6a72436466b64b8af", "generator_version": "3.0"}
{"id": "v3_test_id_00006631", "prompt": "Solve for x: -6x - 82 = 5(x + 49) - 503", "solution_steps": ["Expand: -6x - 82 = 5x + 245 - 503", "Combine constants: -6x - 82 = 5x - 258", "Subtract 5x from both sides: -11x - 82 = -258", "Add 82 to both sides: -11x = -176", "Divide both sides by -11: x = 16"], "final_answer": "16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x - 82 = 5(x + 49) - 503", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 82, \"c\": 5, \"d\": 49, \"f\": -503, \"x\": 16}", "seed": "15348410460386269433", "semantic_fingerprint": "sha256:ff13edbfe9d509c7b692b6665a67f0d49f4db60cd4dd68dfad30e1b422167b32", "generator_version": "3.0"}
{"id": "v3_test_id_00006632", "prompt": "Compute: 406 / (44 - 704) * (-275 * (-6))", "solution_steps": ["Subtract: 44 - 704 = -660", "Divide: 406 / (-660) = -203/330", "Multiply: -275 * (-6) = 1650", "Multiply: (-203/330) * 1650 = -1015"], "final_answer": "-1015", "answer_type": "integer", "kind": "expression", "math_text": "406 / (44 - 704) * (-275 * (-6))", "variable": null, "family": "expression_4op", "shape": "(* (/ n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 406, \"b\": 44, \"c\": 704, \"d\": -275, \"e\": -6}", "seed": "7573788774528115856", "semantic_fingerprint": "sha256:44fee420974b6bf136243eb802e7ebc08611c37e8629f64cf41881e982545049", "generator_version": "3.0"}
{"id": "v3_test_id_00006633", "prompt": "What is 33 - (91 - 169) / (35 + (-270) + (-6))?", "solution_steps": ["Subtract: 91 - 169 = -78", "Add: 35 + (-270) = -235", "Add: -235 + (-6) = -241", "Divide: -78 / (-241) = 78/241", "Subtract: 33 - 78/241 = 7875/241"], "final_answer": "7875/241", "answer_type": "rational", "kind": "expression", "math_text": "33 - (91 - 169) / (35 + (-270) + (-6))", "variable": null, "family": "expression_5op", "shape": "(- n (/ (- n n) (+ (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 33, \"b\": 91, \"c\": 169, \"d\": 35, \"e\": -270, \"f\": -6}", "seed": "6756296279639261964", "semantic_fingerprint": "sha256:fc0805d21609096523d6f38464448cd3bcaac423263d443392a33579d179ddd5", "generator_version": "3.0"}
{"id": "v3_test_id_00006634", "prompt": "What is 3 / (61 + (-86))?", "solution_steps": ["Add: 61 + (-86) = -25", "Divide: 3 / (-25) = -3/25"], "final_answer": "-3/25", "answer_type": "rational", "kind": "expression", "math_text": "3 / (61 + (-86))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 61, \"c\": -86}", "seed": "9294097990953904836", "semantic_fingerprint": "sha256:3361a842234eb244cb0edf1124210785b09322f83ca6300c920a261ba609f700", "generator_version": "3.0"}
{"id": "v3_test_id_00006635", "prompt": "Solve the equation 11x = 12(x - 5) + 58 for x.", "solution_steps": ["Expand: 11x = 12x - 60 + 58", "Combine constants: 11x = 12x - 2", "Subtract 12x from both sides: -x = -2", "Divide both sides by -1: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = 12(x - 5) + 58", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 12, \"c\": 5, \"e\": 58, \"x\": 2}", "seed": "11120197418249657197", "semantic_fingerprint": "sha256:fa2d8ac14cf8cb07bfba567faafad19dbf4606f1aac9dee2dba26eb90f4e8af4", "generator_version": "3.0"}
{"id": "v3_test_id_00006636", "prompt": "Solve for x: 12(x - 3) - 2 = 6(x - 24) + 22", "solution_steps": ["Expand: 12x - 36 - 2 = 6(x - 24) + 22", "Expand: 12x - 36 - 2 = 6x - 144 + 22", "Combine constants: 12x - 38 = 6x - 144 + 22", "Combine constants: 12x - 38 = 6x - 122", "Subtract 6x from both sides: 6x - 38 = -122", "Add 38 to both sides: 6x = -84", "Divide both sides by 6: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 3) - 2 = 6(x - 24) + 22", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 3, \"c\": 2, \"d\": 6, \"e\": 24, \"g\": 22, \"x\": -14}", "seed": "10211227951507519502", "semantic_fingerprint": "sha256:802499b82014fb64930013a046134e75160ee61c471b4d35a379ca3a56672ff8", "generator_version": "3.0"}
{"id": "v3_test_id_00006637", "prompt": "Evaluate: 2 * (-65 / (-2))", "solution_steps": ["Divide: -65 / (-2) = 65/2", "Multiply: 2 * (65/2) = 65"], "final_answer": "65", "answer_type": "integer", "kind": "expression", "math_text": "2 * (-65 / (-2))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -65, \"c\": -2}", "seed": "15917099844333717804", "semantic_fingerprint": "sha256:2b0e17e39b2c9d372dfb21e68d867b9729efa739ec2bc073c79aa944eef06b7f", "generator_version": "3.0"}
{"id": "v3_test_id_00006638", "prompt": "Solve for x: 9(x - 3) = -90", "solution_steps": ["Expand: 9x - 27 = -90", "Add 27 to both sides: 9x = -63", "Divide both sides by 9: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 3) = -90", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 3, \"d\": -90, \"x\": -7}", "seed": "13222711024658673614", "semantic_fingerprint": "sha256:cdb0908a78c4b95d2c0f2fe0956afa143fcb452d6b05c9368d47a84e69a73565", "generator_version": "3.0"}
{"id": "v3_test_id_00006639", "prompt": "What is -1 / (-82 + (8 - 157))?", "solution_steps": ["Subtract: 8 - 157 = -149", "Add: -82 + (-149) = -231", "Divide: -1 / (-231) = 1/231"], "final_answer": "1/231", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (-82 + (8 - 157))", "variable": null, "family": "expression_3op", "shape": "(/ n (+ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -82, \"c\": 8, \"d\": 157}", "seed": "5674555084528564873", "semantic_fingerprint": "sha256:8e498a6e709aa454c809441178a167ea1b51845dbbdcdac03aaf6fe21804e742", "generator_version": "3.0"}
{"id": "v3_test_id_00006640", "prompt": "Compute: 25 - (4 - 95) + (-502) * 85", "solution_steps": ["Subtract: 4 - 95 = -91", "Subtract: 25 - (-91) = 116", "Multiply: -502 * 85 = -42670", "Add: 116 + (-42670) = -42554"], "final_answer": "-42554", "answer_type": "integer", "kind": "expression", "math_text": "25 - (4 - 95) + (-502) * 85", "variable": null, "family": "expression_4op", "shape": "(+ (- n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 25, \"b\": 4, \"c\": 95, \"d\": -502, \"e\": 85}", "seed": "1848472625069577217", "semantic_fingerprint": "sha256:c628947eb3ccf648cb4e6b9b947f73a726995165575425ff8c6872271ce40542", "generator_version": "3.0"}
{"id": "v3_test_id_00006641", "prompt": "Compute: 2 + 31 * 55", "solution_steps": ["Multiply: 31 * 55 = 1705", "Add: 2 + 1705 = 1707"], "final_answer": "1707", "answer_type": "integer", "kind": "expression", "math_text": "2 + 31 * 55", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 31, \"c\": 55}", "seed": "17619916977727789207", "semantic_fingerprint": "sha256:2405fa95bbf81cc88cff908e094f07ae2cfb9ec1db5acfac35637db1aa63c904", "generator_version": "3.0"}
{"id": "v3_test_id_00006642", "prompt": "Evaluate: (-17 + (-2)) * 2", "solution_steps": ["Add: -17 + (-2) = -19", "Multiply: -19 * 2 = -38"], "final_answer": "-38", "answer_type": "integer", "kind": "expression", "math_text": "(-17 + (-2)) * 2", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -17, \"b\": -2, \"c\": 2}", "seed": "8189819518180302469", "semantic_fingerprint": "sha256:991ee7f6059d0c0da69379490ce8a3a2f8ac729bd4fc3e2d98667989a29b7d81", "generator_version": "3.0"}
{"id": "v3_test_id_00006643", "prompt": "Solve the equation x - 328 = -7(x + 64) for x.", "solution_steps": ["Expand: x - 328 = -7x - 448", "Add 7x to both sides: 8x - 328 = -448", "Add 328 to both sides: 8x = -120", "Divide both sides by 8: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 328 = -7(x + 64)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 64, \"d\": -328, \"x\": -15}", "seed": "13189390455407757124", "semantic_fingerprint": "sha256:40d84ccb9acfadb560d676d8e8f59ba3ac3a87df5911939bc3a44c8e87144877", "generator_version": "3.0"}
{"id": "v3_test_id_00006644", "prompt": "Find x: -12x - 3 = 33", "solution_steps": ["Add 3 to both sides: -12x = 36", "Divide both sides by -12: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x - 3 = 33", "variable": "x", "family": "linear_equation", "shape": "kx-c=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 3, \"d\": 33, \"x\": -3}", "seed": "16533630896401647804", "semantic_fingerprint": "sha256:e599dd49b4008594991e19a73388d5f12da2110bfcb41b9b571767869f569955", "generator_version": "3.0"}
{"id": "v3_test_id_00006645", "prompt": "What is 68 + (-371 + (-7) + (-8) * (-94)) / 982?", "solution_steps": ["Add: -371 + (-7) = -378", "Multiply: -8 * (-94) = 752", "Add: -378 + 752 = 374", "Divide: 374 / 982 = 187/491", "Add: 68 + 187/491 = 33575/491"], "final_answer": "33575/491", "answer_type": "rational", "kind": "expression", "math_text": "68 + (-371 + (-7) + (-8) * (-94)) / 982", "variable": null, "family": "expression_5op", "shape": "(+ n (/ (+ (+ n n) (* n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 68, \"b\": -371, \"c\": -7, \"d\": -8, \"e\": -94, \"f\": 982}", "seed": "15239053264499461400", "semantic_fingerprint": "sha256:972b79aa59baa729482bcd4cda4909dc0ab531f2ef1cdee8e0b0a8f8cb188194", "generator_version": "3.0"}
{"id": "v3_test_id_00006646", "prompt": "Calculate: -8 * (-33) * (-49 * (-55) - (-9))", "solution_steps": ["Multiply: -8 * (-33) = 264", "Multiply: -49 * (-55) = 2695", "Subtract: 2695 - (-9) = 2704", "Multiply: 264 * 2704 = 713856"], "final_answer": "713856", "answer_type": "integer", "kind": "expression", "math_text": "-8 * (-33) * (-49 * (-55) - (-9))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (- (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -33, \"c\": -49, \"d\": -55, \"e\": -9}", "seed": "16801875376560515942", "semantic_fingerprint": "sha256:f350aa4663fa18db64ef18a212b8c84a518edb6796cf06eea556a1b60e6354fe", "generator_version": "3.0"}
{"id": "v3_test_id_00006647", "prompt": "Compute: 83 * (18 / 35)", "solution_steps": ["Divide: 18 / 35 = 18/35", "Multiply: 83 * (18/35) = 1494/35"], "final_answer": "1494/35", "answer_type": "rational", "kind": "expression", "math_text": "83 * (18 / 35)", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 18, \"c\": 35}", "seed": "3278577762506155182", "semantic_fingerprint": "sha256:c523ce982cc5e9af6df11de2fa8b9a23a8253c30cb875bd76297f674dfaf01b1", "generator_version": "3.0"}
{"id": "v3_test_id_00006648", "prompt": "Calculate: -24 - (-20 - (-49))", "solution_steps": ["Subtract: -20 - (-49) = 29", "Subtract: -24 - 29 = -53"], "final_answer": "-53", "answer_type": "integer", "kind": "expression", "math_text": "-24 - (-20 - (-49))", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -24, \"b\": -20, \"c\": -49}", "seed": "4891697405707790815", "semantic_fingerprint": "sha256:a04f0cea745b6db4dd14bfda7236dd752bcb98d01934bc00fcddb784e1e807a7", "generator_version": "3.0"}
{"id": "v3_test_id_00006649", "prompt": "Evaluate: 80 / (-455 / 3)", "solution_steps": ["Divide: -455 / 3 = -455/3", "Divide: 80 / (-455/3) = -48/91"], "final_answer": "-48/91", "answer_type": "rational", "kind": "expression", "math_text": "80 / (-455 / 3)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 80, \"b\": -455, \"c\": 3}", "seed": "6565932659205825521", "semantic_fingerprint": "sha256:52093c5e7a2263dd36ef45496024abb12732bb16cc7b8934ea83751c8455b94d", "generator_version": "3.0"}
{"id": "v3_test_id_00006650", "prompt": "Calculate: (1 - (-42)) / (-1)", "solution_steps": ["Subtract: 1 - (-42) = 43", "Divide: 43 / (-1) = -43"], "final_answer": "-43", "answer_type": "integer", "kind": "expression", "math_text": "(1 - (-42)) / (-1)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -42, \"c\": -1}", "seed": "5335570290076940810", "semantic_fingerprint": "sha256:e7836ee3ddfe01caf4b543b1ce3233d4f3390637e41a58a42f95bf26caaaac46", "generator_version": "3.0"}
{"id": "v3_test_id_00006651", "prompt": "What is 1 + 46?", "solution_steps": ["Add: 1 + 46 = 47"], "final_answer": "47", "answer_type": "integer", "kind": "expression", "math_text": "1 + 46", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 46}", "seed": "9306562926885143242", "semantic_fingerprint": "sha256:b56428e1d64f99910df51fa377b333aa783fb6cc168a7bd38832db3cdcbc335c", "generator_version": "3.0"}
{"id": "v3_test_id_00006652", "prompt": "What is 73 + (-2 - 4)?", "solution_steps": ["Subtract: -2 - 4 = -6", "Add: 73 + (-6) = 67"], "final_answer": "67", "answer_type": "integer", "kind": "expression", "math_text": "73 + (-2 - 4)", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": -2, \"c\": 4}", "seed": "2490467988678392004", "semantic_fingerprint": "sha256:0607df1b633928bc0844c7dd915a59305dadca323ab7c7b281202f1424eae9e1", "generator_version": "3.0"}
{"id": "v3_test_id_00006653", "prompt": "Compute: -90 - (-6) * 36", "solution_steps": ["Multiply: -6 * 36 = -216", "Subtract: -90 - (-216) = 126"], "final_answer": "126", "answer_type": "integer", "kind": "expression", "math_text": "-90 - (-6) * 36", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -90, \"b\": -6, \"c\": 36}", "seed": "15057207883572641101", "semantic_fingerprint": "sha256:2dba5fdb035123670e0b639b41f2e65f5ae005b2aaeb3fe3f88cdefa4ea7dd3a", "generator_version": "3.0"}
{"id": "v3_test_id_00006654", "prompt": "Calculate: (0 - (-71)) / 7 / (-21 / (-396))", "solution_steps": ["Subtract: 0 - (-71) = 71", "Divide: 71 / 7 = 71/7", "Divide: -21 / (-396) = 7/132", "Divide: (71/7) / (7/132) = 9372/49"], "final_answer": "9372/49", "answer_type": "rational", "kind": "expression", "math_text": "(0 - (-71)) / 7 / (-21 / (-396))", "variable": null, "family": "expression_4op", "shape": "(/ (/ (- n n) n) (/ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -71, \"c\": 7, \"d\": -21, \"e\": -396}", "seed": "5159302589978143394", "semantic_fingerprint": "sha256:e92521b571d12412eea8e8664b88b432fcddc8685169f3a67d99c05aeabc24db", "generator_version": "3.0"}
{"id": "v3_test_id_00006655", "prompt": "Compute: -42 / 461 - (1 + (-74 - 148) * (-9))", "solution_steps": ["Divide: -42 / 461 = -42/461", "Subtract: -74 - 148 = -222", "Multiply: -222 * (-9) = 1998", "Add: 1 + 1998 = 1999", "Subtract: -42/461 - 1999 = -921581/461"], "final_answer": "-921581/461", "answer_type": "rational", "kind": "expression", "math_text": "-42 / 461 - (1 + (-74 - 148) * (-9))", "variable": null, "family": "expression_5op", "shape": "(- (/ n n) (+ n (* (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": 461, \"c\": 1, \"d\": -74, \"e\": 148, \"f\": -9}", "seed": "16404041520994363152", "semantic_fingerprint": "sha256:03b54bc1bea903ebd0546ad3515db49caa75a501b7535e7ca0961c588b41ab58", "generator_version": "3.0"}
{"id": "v3_test_id_00006656", "prompt": "Find x: -7(x + 28) = 12(x - 18)", "solution_steps": ["Expand: -7x - 196 = 12(x - 18)", "Expand: -7x - 196 = 12x - 216", "Subtract 12x from both sides: -19x - 196 = -216", "Add 196 to both sides: -19x = -20", "Divide both sides by -19: x = 20/19"], "final_answer": "20/19", "answer_type": "rational", "kind": "linear_equation", "math_text": "-7(x + 28) = 12(x - 18)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 28, \"c\": 12, \"d\": 18}", "seed": "15573454108204980803", "semantic_fingerprint": "sha256:920f81a3eeb44028bb568298295fc67d597d7afb4250db53aeab0153861a27d4", "generator_version": "3.0"}
{"id": "v3_test_id_00006657", "prompt": "What value of x satisfies 4x + 20 = x + 11?", "solution_steps": ["Subtract x from both sides: 3x + 20 = 11", "Subtract 20 from both sides: 3x = -9", "Divide both sides by 3: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "4x + 20 = x + 11", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 20, \"d\": 11, \"x\": -3}", "seed": "1339030957248439825", "semantic_fingerprint": "sha256:5b751e3cf5a3c84d0b92619d2d6e143391c0d39eb1835b7c82fe1840a1370f1a", "generator_version": "3.0"}
{"id": "v3_test_id_00006658", "prompt": "What is 8 - 55 - 65?", "solution_steps": ["Subtract: 8 - 55 = -47", "Subtract: -47 - 65 = -112"], "final_answer": "-112", "answer_type": "integer", "kind": "expression", "math_text": "8 - 55 - 65", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 55, \"c\": 65}", "seed": "16335326564608116998", "semantic_fingerprint": "sha256:4031b7ceed5a08bd4868f5e16070169c27b42aedb96ec63e9dce17ec82e2a547", "generator_version": "3.0"}
{"id": "v3_test_id_00006659", "prompt": "Compute: -69 / 55", "solution_steps": ["Divide: -69 / 55 = -69/55"], "final_answer": "-69/55", "answer_type": "rational", "kind": "expression", "math_text": "-69 / 55", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": 55}", "seed": "5197397373778273044", "semantic_fingerprint": "sha256:b91d0c2f54ad806ba5d71b899a576b25db6114fb79fb9b239a1187ac30d9dee7", "generator_version": "3.0"}
{"id": "v3_test_id_00006660", "prompt": "Solve the equation x + 1 = 10(x + 4) + 85 for x.", "solution_steps": ["Expand: x + 1 = 10x + 40 + 85", "Combine constants: x + 1 = 10x + 125", "Subtract 10x from both sides: -9x + 1 = 125", "Subtract 1 from both sides: -9x = 124", "Divide both sides by -9: x = -124/9"], "final_answer": "-124/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 1 = 10(x + 4) + 85", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 10, \"c\": 4, \"d\": 85}", "seed": "14385423617045342874", "semantic_fingerprint": "sha256:99d01c87a86c06b91225935e36346c5da5c6db161f05e1e55c45e91825cd9aef", "generator_version": "3.0"}
{"id": "v3_test_id_00006661", "prompt": "What is -52 * (788 / (-67))?", "solution_steps": ["Divide: 788 / (-67) = -788/67", "Multiply: -52 * (-788/67) = 40976/67"], "final_answer": "40976/67", "answer_type": "rational", "kind": "expression", "math_text": "-52 * (788 / (-67))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": 788, \"c\": -67}", "seed": "3467486763672098379", "semantic_fingerprint": "sha256:54142deadfa166b16a0ce36f3f6b23f59a13dee706b9846e22488605e60ac6b5", "generator_version": "3.0"}
{"id": "v3_test_id_00006662", "prompt": "Calculate: 28 / (-33) + (-74 - (-36 - (-7)) * (-39))", "solution_steps": ["Divide: 28 / (-33) = -28/33", "Subtract: -36 - (-7) = -29", "Multiply: -29 * (-39) = 1131", "Subtract: -74 - 1131 = -1205", "Add: -28/33 + (-1205) = -39793/33"], "final_answer": "-39793/33", "answer_type": "rational", "kind": "expression", "math_text": "28 / (-33) + (-74 - (-36 - (-7)) * (-39))", "variable": null, "family": "expression_5op", "shape": "(+ (/ n n) (- n (* (- n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 28, \"b\": -33, \"c\": -74, \"d\": -36, \"e\": -7, \"f\": -39}", "seed": "10602949683178663244", "semantic_fingerprint": "sha256:8ac347b27e2fac482c08428a7bea50443a15efd392baa43120a7cee6a9777761", "generator_version": "3.0"}
{"id": "v3_test_id_00006663", "prompt": "Calculate: 902 / 5 + 2", "solution_steps": ["Divide: 902 / 5 = 902/5", "Add: 902/5 + 2 = 912/5"], "final_answer": "912/5", "answer_type": "rational", "kind": "expression", "math_text": "902 / 5 + 2", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 902, \"b\": 5, \"c\": 2}", "seed": "7171895357408476451", "semantic_fingerprint": "sha256:a126c6b9760e16da119eb89610a6bb7e631e79cdac8b2909e1f77562c6545c18", "generator_version": "3.0"}
{"id": "v3_test_id_00006664", "prompt": "What value of x satisfies x + 88 = 107?", "solution_steps": ["Subtract 88 from both sides: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 88 = 107", "variable": "x", "family": "linear_equation", "shape": "x+c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 88, \"c\": 107, \"x\": 19}", "seed": "14810163264979129268", "semantic_fingerprint": "sha256:22244df4d23c3929c67f73381204b84be3c54b384bfc8b653c31814df6190453", "generator_version": "3.0"}
{"id": "v3_test_id_00006665", "prompt": "What is (-5 + (4 + (-20))) * (-52 * 455 + 39)?", "solution_steps": ["Add: 4 + (-20) = -16", "Add: -5 + (-16) = -21", "Multiply: -52 * 455 = -23660", "Add: -23660 + 39 = -23621", "Multiply: -21 * (-23621) = 496041"], "final_answer": "496041", "answer_type": "integer", "kind": "expression", "math_text": "(-5 + (4 + (-20))) * (-52 * 455 + 39)", "variable": null, "family": "expression_5op", "shape": "(* (+ n (+ n n)) (+ (* n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 4, \"c\": -20, \"d\": -52, \"e\": 455, \"f\": 39}", "seed": "13108071592672566322", "semantic_fingerprint": "sha256:5a4a57acca025be736814c2ac9ae5428661ee683696ab60b9267c2f0cb50954e", "generator_version": "3.0"}
{"id": "v3_test_id_00006666", "prompt": "Evaluate: 62 / 923", "solution_steps": ["Divide: 62 / 923 = 62/923"], "final_answer": "62/923", "answer_type": "rational", "kind": "expression", "math_text": "62 / 923", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 62, \"b\": 923}", "seed": "12290930173907294063", "semantic_fingerprint": "sha256:9ad09981803f482d7c07ba99e513b102230506fea231ed352c76749f211742cc", "generator_version": "3.0"}
{"id": "v3_test_id_00006667", "prompt": "Evaluate: -22 + 26 * (-72) * (-73)", "solution_steps": ["Multiply: 26 * (-72) = -1872", "Multiply: -1872 * (-73) = 136656", "Add: -22 + 136656 = 136634"], "final_answer": "136634", "answer_type": "integer", "kind": "expression", "math_text": "-22 + 26 * (-72) * (-73)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": 26, \"c\": -72, \"d\": -73}", "seed": "9632339981758092811", "semantic_fingerprint": "sha256:fb242a2432fbf64ed71ea9cd04d7caef5d023149e5c616d80f26df7353fe9f69", "generator_version": "3.0"}
{"id": "v3_test_id_00006668", "prompt": "What is (-4 + (-35 - (-73))) * (-6 + 21)?", "solution_steps": ["Subtract: -35 - (-73) = 38", "Add: -4 + 38 = 34", "Add: -6 + 21 = 15", "Multiply: 34 * 15 = 510"], "final_answer": "510", "answer_type": "integer", "kind": "expression", "math_text": "(-4 + (-35 - (-73))) * (-6 + 21)", "variable": null, "family": "expression_4op", "shape": "(* (+ n (- n n)) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -35, \"c\": -73, \"d\": -6, \"e\": 21}", "seed": "12866573828482234771", "semantic_fingerprint": "sha256:203b3eb215e5ed85e736b580c6d0617ffc495de5f639049a093b62333ccf8e3a", "generator_version": "3.0"}
{"id": "v3_test_id_00006669", "prompt": "Compute: (-248 - 58) / (-19 * (2 - (-149)))", "solution_steps": ["Subtract: -248 - 58 = -306", "Subtract: 2 - (-149) = 151", "Multiply: -19 * 151 = -2869", "Divide: -306 / (-2869) = 306/2869"], "final_answer": "306/2869", "answer_type": "rational", "kind": "expression", "math_text": "(-248 - 58) / (-19 * (2 - (-149)))", "variable": null, "family": "expression_4op", "shape": "(/ (- n n) (* n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -248, \"b\": 58, \"c\": -19, \"d\": 2, \"e\": -149}", "seed": "591714990632212452", "semantic_fingerprint": "sha256:08cf1aa9908c297ce8db2b6f92525dad4fabae574cd5c55e4a04dec48dba240d", "generator_version": "3.0"}
{"id": "v3_test_id_00006670", "prompt": "Solve for x: x + 114 = 7(x + 3) + 3", "solution_steps": ["Expand: x + 114 = 7x + 21 + 3", "Combine constants: x + 114 = 7x + 24", "Subtract 7x from both sides: -6x + 114 = 24", "Subtract 114 from both sides: -6x = -90", "Divide both sides by -6: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 114 = 7(x + 3) + 3", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 114, \"b\": 7, \"c\": 3, \"e\": 3, \"x\": 15}", "seed": "2725596327850401109", "semantic_fingerprint": "sha256:21a53fb01a8415a2262c53d6db579348059dbc9a417dd91440b364bacf1899b7", "generator_version": "3.0"}
{"id": "v3_test_id_00006671", "prompt": "What value of x satisfies -11(x + 35) - 110 = 4(x - 75)?", "solution_steps": ["Expand: -11x - 385 - 110 = 4(x - 75)", "Expand: -11x - 385 - 110 = 4x - 300", "Combine constants: -11x - 495 = 4x - 300", "Subtract 4x from both sides: -15x - 495 = -300", "Add 495 to both sides: -15x = 195", "Divide both sides by -15: x = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "linear_equation", "math_text": "-11(x + 35) - 110 = 4(x - 75)", "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\": 4, \"d\": 75, \"f\": -110, \"x\": -13}", "seed": "10350369253116119522", "semantic_fingerprint": "sha256:1d2c190bf2fa37bcf4441cd8f75bbefba85c9f0596211ab1a08645a7d9363da0", "generator_version": "3.0"}
{"id": "v3_test_id_00006672", "prompt": "What is 58 / (-9) * 1?", "solution_steps": ["Divide: 58 / (-9) = -58/9", "Multiply: (-58/9) * 1 = -58/9"], "final_answer": "-58/9", "answer_type": "rational", "kind": "expression", "math_text": "58 / (-9) * 1", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 58, \"b\": -9, \"c\": 1}", "seed": "18365751449930894578", "semantic_fingerprint": "sha256:a02aaa1340beb200f55ced6c558619eaf919b2ad9db6a2dcc51f4d1c76cabe25", "generator_version": "3.0"}
{"id": "v3_test_id_00006673", "prompt": "What value of x satisfies 11x - 18 = -7x?", "solution_steps": ["Add 7x to both sides: 18x - 18 = 0", "Add 18 to both sides: 18x = 18", "Divide both sides by 18: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x - 18 = -7x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -7, \"d\": -18, \"x\": 1}", "seed": "3038606049906691331", "semantic_fingerprint": "sha256:24112de6b8d196c27e62ecf6a4f6a160a7e9040ff6b97f802a93b9cf4da535cd", "generator_version": "3.0"}
{"id": "v3_test_id_00006674", "prompt": "Solve the equation 12(x - 2) - 824 = 3x - 974 for x.", "solution_steps": ["Expand: 12x - 24 - 824 = 3x - 974", "Combine constants: 12x - 848 = 3x - 974", "Subtract 3x from both sides: 9x - 848 = -974", "Add 848 to both sides: 9x = -126", "Divide both sides by 9: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x - 2) - 824 = 3x - 974", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 2, \"c\": 824, \"d\": 3, \"f\": -974, \"x\": -14}", "seed": "16485804784207229388", "semantic_fingerprint": "sha256:2059912ee72841f582e1fb757354d3fcdfc1839761637a53b2bc8a0dcf774d63", "generator_version": "3.0"}
{"id": "v3_test_id_00006675", "prompt": "What is -46 * (-95)?", "solution_steps": ["Multiply: -46 * (-95) = 4370"], "final_answer": "4370", "answer_type": "integer", "kind": "expression", "math_text": "-46 * (-95)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -46, \"b\": -95}", "seed": "7024584039774400254", "semantic_fingerprint": "sha256:7d3e95a3abebc972384c013649c186847fc1eb12e75da80182c38d7c0b705c0c", "generator_version": "3.0"}
{"id": "v3_test_id_00006676", "prompt": "Calculate: 7 / (-65 / (502 - 23))", "solution_steps": ["Subtract: 502 - 23 = 479", "Divide: -65 / 479 = -65/479", "Divide: 7 / (-65/479) = -3353/65"], "final_answer": "-3353/65", "answer_type": "rational", "kind": "expression", "math_text": "7 / (-65 / (502 - 23))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (- n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -65, \"c\": 502, \"d\": 23}", "seed": "13951483353284694915", "semantic_fingerprint": "sha256:ff585f296bbef5eab41e436a40e83881087f219c40075ead9d4f66c114817f77", "generator_version": "3.0"}
{"id": "v3_test_id_00006677", "prompt": "What is (86 + (-747)) / (-968) * (-21)?", "solution_steps": ["Add: 86 + (-747) = -661", "Divide: -661 / (-968) = 661/968", "Multiply: (661/968) * (-21) = -13881/968"], "final_answer": "-13881/968", "answer_type": "rational", "kind": "expression", "math_text": "(86 + (-747)) / (-968) * (-21)", "variable": null, "family": "expression_3op", "shape": "(* (/ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 86, \"b\": -747, \"c\": -968, \"d\": -21}", "seed": "17134101033035031395", "semantic_fingerprint": "sha256:7524fa14e2df25e342ad6c0ec7cda4cadcbf79da6009016afb8ef6452ff3c0b5", "generator_version": "3.0"}
{"id": "v3_test_id_00006678", "prompt": "Evaluate: (999 + (-55)) * (7 * 1)", "solution_steps": ["Add: 999 + (-55) = 944", "Multiply: 7 * 1 = 7", "Multiply: 944 * 7 = 6608"], "final_answer": "6608", "answer_type": "integer", "kind": "expression", "math_text": "(999 + (-55)) * (7 * 1)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (* n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 999, \"b\": -55, \"c\": 7, \"d\": 1}", "seed": "1458854950530191062", "semantic_fingerprint": "sha256:144ef2b9a6096f740a1925832ce0e3a883a9456520d5a33ae9ebc43b75e49f06", "generator_version": "3.0"}
{"id": "v3_test_id_00006679", "prompt": "Calculate: 0 + (-1) / (6 / (0 - 87 / (-12)))", "solution_steps": ["Divide: 87 / (-12) = -29/4", "Subtract: 0 - (-29/4) = 29/4", "Divide: 6 / (29/4) = 24/29", "Divide: -1 / (24/29) = -29/24", "Add: 0 + (-29/24) = -29/24"], "final_answer": "-29/24", "answer_type": "rational", "kind": "expression", "math_text": "0 + (-1) / (6 / (0 - 87 / (-12)))", "variable": null, "family": "expression_5op", "shape": "(+ n (/ n (/ n (- n (/ n n)))))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -1, \"c\": 6, \"d\": 0, \"e\": 87, \"f\": -12}", "seed": "16165930833689410296", "semantic_fingerprint": "sha256:caf7752e716205ad5985de69088e627f529bda76e8504e121bc8ba87e85f334e", "generator_version": "3.0"}
{"id": "v3_test_id_00006680", "prompt": "Compute: -348 / (-917 / (-61))", "solution_steps": ["Divide: -917 / (-61) = 917/61", "Divide: -348 / (917/61) = -21228/917"], "final_answer": "-21228/917", "answer_type": "rational", "kind": "expression", "math_text": "-348 / (-917 / (-61))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -348, \"b\": -917, \"c\": -61}", "seed": "590724316142747109", "semantic_fingerprint": "sha256:390b208d3d98eb89dc6319f2785e631152517f28795c48b8722717c2183e8dec", "generator_version": "3.0"}
{"id": "v3_test_id_00006681", "prompt": "Calculate: (213 - 19) / (40 - 29)", "solution_steps": ["Subtract: 213 - 19 = 194", "Subtract: 40 - 29 = 11", "Divide: 194 / 11 = 194/11"], "final_answer": "194/11", "answer_type": "rational", "kind": "expression", "math_text": "(213 - 19) / (40 - 29)", "variable": null, "family": "expression_3op", "shape": "(/ (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 213, \"b\": 19, \"c\": 40, \"d\": 29}", "seed": "684333809905001632", "semantic_fingerprint": "sha256:2e85f2a221ae8150eb1a09616fd8017dc9a9a6a0494a42eebafd5e4e53cd640f", "generator_version": "3.0"}
{"id": "v3_test_id_00006682", "prompt": "What is -85 - (-2)?", "solution_steps": ["Subtract: -85 - (-2) = -83"], "final_answer": "-83", "answer_type": "integer", "kind": "expression", "math_text": "-85 - (-2)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -85, \"b\": -2}", "seed": "7735868302580230401", "semantic_fingerprint": "sha256:b69f299ddc0eef371ae571786221aa19fbf8ea467895c95600ef6dbbe93356c4", "generator_version": "3.0"}
{"id": "v3_test_id_00006683", "prompt": "Compute: (4 + (-5)) * (-29 - 7)", "solution_steps": ["Add: 4 + (-5) = -1", "Subtract: -29 - 7 = -36", "Multiply: -1 * (-36) = 36"], "final_answer": "36", "answer_type": "integer", "kind": "expression", "math_text": "(4 + (-5)) * (-29 - 7)", "variable": null, "family": "expression_3op", "shape": "(* (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": -5, \"c\": -29, \"d\": 7}", "seed": "9101774055729587676", "semantic_fingerprint": "sha256:21ebd2292f7749d5116e6795e81ff7879e7cb75aecd62a3ee56397eea633c219", "generator_version": "3.0"}
{"id": "v3_test_id_00006684", "prompt": "Find x: -6x - 820 = x - 757", "solution_steps": ["Subtract x from both sides: -7x - 820 = -757", "Add 820 to both sides: -7x = 63", "Divide both sides by -7: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-6x - 820 = x - 757", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": 820, \"d\": -757, \"x\": -9}", "seed": "15526695751939030751", "semantic_fingerprint": "sha256:5c3196b25d31567f381649eeb006fdacf030448a8c7faf317e5a7e0a139308ce", "generator_version": "3.0"}
{"id": "v3_test_id_00006685", "prompt": "Evaluate: 7 * (-64)", "solution_steps": ["Multiply: 7 * (-64) = -448"], "final_answer": "-448", "answer_type": "integer", "kind": "expression", "math_text": "7 * (-64)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -64}", "seed": "10032079105252457713", "semantic_fingerprint": "sha256:86e466da40df37ccd2648168e5b2ce3396e02878c9b7c6f050c88973b24bdea1", "generator_version": "3.0"}
{"id": "v3_test_id_00006686", "prompt": "What value of x satisfies -3x + 15 = 8(x - 76) + 524?", "solution_steps": ["Expand: -3x + 15 = 8x - 608 + 524", "Combine constants: -3x + 15 = 8x - 84", "Subtract 8x from both sides: -11x + 15 = -84", "Subtract 15 from both sides: -11x = -99", "Divide both sides by -11: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-3x + 15 = 8(x - 76) + 524", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 15, \"c\": 8, \"d\": 76, \"f\": 524, \"x\": 9}", "seed": "15521855597595839551", "semantic_fingerprint": "sha256:f8f51cfd5076e319f5ead460045fd3b53914abeffbe330f45869caa57924d895", "generator_version": "3.0"}
{"id": "v3_test_id_00006687", "prompt": "Solve the equation -8(x + 5) = x for x.", "solution_steps": ["Expand: -8x - 40 = x", "Subtract x from both sides: -9x - 40 = 0", "Add 40 to both sides: -9x = 40", "Divide both sides by -9: x = -40/9"], "final_answer": "-40/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x + 5) = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 5}", "seed": "5167920348292735347", "semantic_fingerprint": "sha256:2603059193e2812c515c7b06723031cfd69fad4b4f1a1b0d4b885865dd91eccb", "generator_version": "3.0"}
{"id": "v3_test_id_00006688", "prompt": "What value of x satisfies x = 6x + 29?", "solution_steps": ["Subtract 6x from both sides: -5x = 29", "Divide both sides by -5: x = -29/5"], "final_answer": "-29/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = 6x + 29", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 29}", "seed": "14512384631836598340", "semantic_fingerprint": "sha256:eebf5f9dbbd4a731fd0e3ff1d093cd2f5b2e6fbefda67235b4c632ea0895133e", "generator_version": "3.0"}
{"id": "v3_test_id_00006689", "prompt": "What value of x satisfies -2(x + 96) + 80 = 5(x - 60)?", "solution_steps": ["Expand: -2x - 192 + 80 = 5(x - 60)", "Expand: -2x - 192 + 80 = 5x - 300", "Combine constants: -2x - 112 = 5x - 300", "Subtract 5x from both sides: -7x - 112 = -300", "Add 112 to both sides: -7x = -188", "Divide both sides by -7: x = 188/7"], "final_answer": "188/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x + 96) + 80 = 5(x - 60)", "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\": 80, \"d\": 5, \"e\": 60}", "seed": "17597307650207830", "semantic_fingerprint": "sha256:bf839fe1316edcd18afecdddf727d27fa6da93d3f9477a5d66e4c05337667deb", "generator_version": "3.0"}
{"id": "v3_test_id_00006690", "prompt": "Calculate: -99 / (0 + (-205))", "solution_steps": ["Add: 0 + (-205) = -205", "Divide: -99 / (-205) = 99/205"], "final_answer": "99/205", "answer_type": "rational", "kind": "expression", "math_text": "-99 / (0 + (-205))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -99, \"b\": 0, \"c\": -205}", "seed": "5938745522625763699", "semantic_fingerprint": "sha256:bdfe8363fea9a39faea7fe7cd4318c7435d9d07e75bbbe04debdecf4c43b8525", "generator_version": "3.0"}
{"id": "v3_test_id_00006691", "prompt": "What is 815 - (-75)?", "solution_steps": ["Subtract: 815 - (-75) = 890"], "final_answer": "890", "answer_type": "integer", "kind": "expression", "math_text": "815 - (-75)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 815, \"b\": -75}", "seed": "11575555981446432528", "semantic_fingerprint": "sha256:4615599c8ac5dddb399cc8802dfb342b5ad749a2934f39b03a46605bfca6abc6", "generator_version": "3.0"}
{"id": "v3_test_id_00006692", "prompt": "Find x: x - 121 = 12x", "solution_steps": ["Subtract 12x from both sides: -11x - 121 = 0", "Add 121 to both sides: -11x = 121", "Divide both sides by -11: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 121 = 12x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"c\": -121, \"x\": -11}", "seed": "3718996816881024375", "semantic_fingerprint": "sha256:734f6e3712a53225027f0a2de4a7ca46f46605a314023bcc6ba300f7d0eb6747", "generator_version": "3.0"}
{"id": "v3_test_id_00006693", "prompt": "Calculate: 1 / (-3) / (300 - (-9))", "solution_steps": ["Divide: 1 / (-3) = -1/3", "Subtract: 300 - (-9) = 309", "Divide: (-1/3) / 309 = -1/927"], "final_answer": "-1/927", "answer_type": "rational", "kind": "expression", "math_text": "1 / (-3) / (300 - (-9))", "variable": null, "family": "expression_3op", "shape": "(/ (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -3, \"c\": 300, \"d\": -9}", "seed": "12009073067792559068", "semantic_fingerprint": "sha256:fe99c04d32dd0c69b2865ba24169a57a95476ea0ba3b719ae6f239c39a0250d2", "generator_version": "3.0"}
{"id": "v3_test_id_00006694", "prompt": "Evaluate: -366 / (-10) + (-329) / (-3 - 4)", "solution_steps": ["Divide: -366 / (-10) = 183/5", "Subtract: -3 - 4 = -7", "Divide: -329 / (-7) = 47", "Add: 183/5 + 47 = 418/5"], "final_answer": "418/5", "answer_type": "rational", "kind": "expression", "math_text": "-366 / (-10) + (-329) / (-3 - 4)", "variable": null, "family": "expression_4op", "shape": "(+ (/ n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -366, \"b\": -10, \"c\": -329, \"d\": -3, \"e\": 4}", "seed": "6246821003057828119", "semantic_fingerprint": "sha256:7926eebf8ca1f0efd3ec42a5ba7e4933768a79ac15fa7b6e37d3c198d16d3a9f", "generator_version": "3.0"}
{"id": "v3_test_id_00006695", "prompt": "Calculate: (-73 - (8 + (-2))) * ((44 - 118) / 47)", "solution_steps": ["Add: 8 + (-2) = 6", "Subtract: -73 - 6 = -79", "Subtract: 44 - 118 = -74", "Divide: -74 / 47 = -74/47", "Multiply: -79 * (-74/47) = 5846/47"], "final_answer": "5846/47", "answer_type": "rational", "kind": "expression", "math_text": "(-73 - (8 + (-2))) * ((44 - 118) / 47)", "variable": null, "family": "expression_5op", "shape": "(* (- n (+ n n)) (/ (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": 8, \"c\": -2, \"d\": 44, \"e\": 118, \"f\": 47}", "seed": "5223076156817100738", "semantic_fingerprint": "sha256:07f0a9308becae2fb0134dd3cd5027a00aae12280f6e1dfdd9e0dec763d1f038", "generator_version": "3.0"}
{"id": "v3_test_id_00006696", "prompt": "Compute: 0 + (-661) / (-77)", "solution_steps": ["Divide: -661 / (-77) = 661/77", "Add: 0 + 661/77 = 661/77"], "final_answer": "661/77", "answer_type": "rational", "kind": "expression", "math_text": "0 + (-661) / (-77)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -661, \"c\": -77}", "seed": "16797507826424750312", "semantic_fingerprint": "sha256:9d46111950c4634d6faf1b2e81a13dbd208fa26e7bd713bca11b3b3e4a3cf53c", "generator_version": "3.0"}
{"id": "v3_test_id_00006697", "prompt": "Compute: -156 * 422 + 131", "solution_steps": ["Multiply: -156 * 422 = -65832", "Add: -65832 + 131 = -65701"], "final_answer": "-65701", "answer_type": "integer", "kind": "expression", "math_text": "-156 * 422 + 131", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -156, \"b\": 422, \"c\": 131}", "seed": "14383356208975270206", "semantic_fingerprint": "sha256:a683a001e9284dbfacb6e35df27ad568942255dcf97fc96e0c0e55ee69efdd3c", "generator_version": "3.0"}
{"id": "v3_test_id_00006698", "prompt": "Calculate: 0 * 37", "solution_steps": ["Multiply: 0 * 37 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * 37", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 37}", "seed": "10578532703097810808", "semantic_fingerprint": "sha256:31f98933c5036d378f7cfe762559da04e74fd61fff86bfb12a8deaa1376af69a", "generator_version": "3.0"}
{"id": "v3_test_id_00006699", "prompt": "What is 6 / (-9 + (-44)) - (-419)?", "solution_steps": ["Add: -9 + (-44) = -53", "Divide: 6 / (-53) = -6/53", "Subtract: -6/53 - (-419) = 22201/53"], "final_answer": "22201/53", "answer_type": "rational", "kind": "expression", "math_text": "6 / (-9 + (-44)) - (-419)", "variable": null, "family": "expression_3op", "shape": "(- (/ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -9, \"c\": -44, \"d\": -419}", "seed": "3754375265674516677", "semantic_fingerprint": "sha256:7e9914dd89f7e219cd1625dfd89aa4d196ce0dfe9fa859edf6f07132a5db83bf", "generator_version": "3.0"}
{"id": "v3_test_id_00006700", "prompt": "Solve the equation 5(x - 167) + 949 = -12(x + 99) + 6 for x.", "solution_steps": ["Expand: 5x - 835 + 949 = -12(x + 99) + 6", "Expand: 5x - 835 + 949 = -12x - 1188 + 6", "Combine constants: 5x + 114 = -12x - 1188 + 6", "Combine constants: 5x + 114 = -12x - 1182", "Add 12x to both sides: 17x + 114 = -1182", "Subtract 114 from both sides: 17x = -1296", "Divide both sides by 17: x = -1296/17"], "final_answer": "-1296/17", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 167) + 949 = -12(x + 99) + 6", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 167, \"c\": 949, \"d\": -12, \"e\": 99, \"f\": 6}", "seed": "5949405274287840004", "semantic_fingerprint": "sha256:b1d87918ed57a01ad8b0abef91472f136a3a032a274a75386f56ddfab975a7d1", "generator_version": "3.0"}
{"id": "v3_test_id_00006701", "prompt": "Calculate: 0 / (936 - (15 - (-417))) / 253", "solution_steps": ["Subtract: 15 - (-417) = 432", "Subtract: 936 - 432 = 504", "Divide: 0 / 504 = 0", "Divide: 0 / 253 = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (936 - (15 - (-417))) / 253", "variable": null, "family": "expression_4op", "shape": "(/ (/ n (- n (- n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 936, \"c\": 15, \"d\": -417, \"e\": 253}", "seed": "18168148231607780000", "semantic_fingerprint": "sha256:f06dbc0149b9003936e9f930890eea67182c3faf29821ea7807c6f3ec0d96676", "generator_version": "3.0"}
{"id": "v3_test_id_00006702", "prompt": "What is 16 * 8?", "solution_steps": ["Multiply: 16 * 8 = 128"], "final_answer": "128", "answer_type": "integer", "kind": "expression", "math_text": "16 * 8", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 16, \"b\": 8}", "seed": "14609398480041286509", "semantic_fingerprint": "sha256:60092cd68189e24ac61609f53f2ca14fef09771a46cc5b66d6e7be74ddb14688", "generator_version": "3.0"}
{"id": "v3_test_id_00006703", "prompt": "What is 18 * (-4)?", "solution_steps": ["Multiply: 18 * (-4) = -72"], "final_answer": "-72", "answer_type": "integer", "kind": "expression", "math_text": "18 * (-4)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": -4}", "seed": "8566416420200030522", "semantic_fingerprint": "sha256:2f6e71c2efc6adedece0bb24e87fda48eb20acd4b4a4fd5d0798630660efa270", "generator_version": "3.0"}
{"id": "v3_test_id_00006704", "prompt": "Compute: -74 * 375 / (-59) / 3 / (-3)", "solution_steps": ["Multiply: -74 * 375 = -27750", "Divide: -27750 / (-59) = 27750/59", "Divide: (27750/59) / 3 = 9250/59", "Divide: (9250/59) / (-3) = -9250/177"], "final_answer": "-9250/177", "answer_type": "rational", "kind": "expression", "math_text": "-74 * 375 / (-59) / 3 / (-3)", "variable": null, "family": "expression_4op", "shape": "(/ (/ (/ (* n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -74, \"b\": 375, \"c\": -59, \"d\": 3, \"e\": -3}", "seed": "10008315732329163148", "semantic_fingerprint": "sha256:48ee9273e69d6015f7d9c6b1a69824bfc568a2ebf46751da92d7bc86df5eeb65", "generator_version": "3.0"}
{"id": "v3_test_id_00006705", "prompt": "Compute: 82 + 1 - (-38)", "solution_steps": ["Add: 82 + 1 = 83", "Subtract: 83 - (-38) = 121"], "final_answer": "121", "answer_type": "integer", "kind": "expression", "math_text": "82 + 1 - (-38)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 82, \"b\": 1, \"c\": -38}", "seed": "6756295103064520064", "semantic_fingerprint": "sha256:307d7d1f1214c695265cb13c41d76b9395a403fcd8d58cc798f23124a508ae91", "generator_version": "3.0"}
{"id": "v3_test_id_00006706", "prompt": "What is (370 + (-7)) / 102?", "solution_steps": ["Add: 370 + (-7) = 363", "Divide: 363 / 102 = 121/34"], "final_answer": "121/34", "answer_type": "rational", "kind": "expression", "math_text": "(370 + (-7)) / 102", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 370, \"b\": -7, \"c\": 102}", "seed": "923860678847427658", "semantic_fingerprint": "sha256:dde75edc21ff171823677e3251ad20d65c16a7e3e0f7cdc8febe338293d25181", "generator_version": "3.0"}
{"id": "v3_test_id_00006707", "prompt": "Evaluate: 70 + (-4)", "solution_steps": ["Add: 70 + (-4) = 66"], "final_answer": "66", "answer_type": "integer", "kind": "expression", "math_text": "70 + (-4)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 70, \"b\": -4}", "seed": "1045221083132970857", "semantic_fingerprint": "sha256:c18b22f8028cc54b3437cb2903939935dd9bd08af9633606b3e841d6facb26b7", "generator_version": "3.0"}
{"id": "v3_test_id_00006708", "prompt": "What value of x satisfies 6(x - 69) = x?", "solution_steps": ["Expand: 6x - 414 = x", "Subtract x from both sides: 5x - 414 = 0", "Add 414 to both sides: 5x = 414", "Divide both sides by 5: x = 414/5"], "final_answer": "414/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x - 69) = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 69}", "seed": "6548221937330807578", "semantic_fingerprint": "sha256:eb72d86352eb10712f39b99eb65b626568ad1d486c0d280972afa0dd8948b890", "generator_version": "3.0"}
{"id": "v3_test_id_00006709", "prompt": "Calculate: (8 - (-36)) * (-4) + (8 + 174)", "solution_steps": ["Subtract: 8 - (-36) = 44", "Multiply: 44 * (-4) = -176", "Add: 8 + 174 = 182", "Add: -176 + 182 = 6"], "final_answer": "6", "answer_type": "integer", "kind": "expression", "math_text": "(8 - (-36)) * (-4) + (8 + 174)", "variable": null, "family": "expression_4op", "shape": "(+ (* (- n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -36, \"c\": -4, \"d\": 8, \"e\": 174}", "seed": "7736015600137187020", "semantic_fingerprint": "sha256:3db4af7f73808caf08640d543aebac56ce94086f12a9853a57460497671b43f5", "generator_version": "3.0"}
{"id": "v3_test_id_00006710", "prompt": "Evaluate: -1 / (-80) - (-54) / (-105)", "solution_steps": ["Divide: -1 / (-80) = 1/80", "Divide: -54 / (-105) = 18/35", "Subtract: 1/80 - 18/35 = -281/560"], "final_answer": "-281/560", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (-80) - (-54) / (-105)", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -80, \"c\": -54, \"d\": -105}", "seed": "16490479158275651966", "semantic_fingerprint": "sha256:53146a11e812a4a96fdddd6b76933ecb760ed781515dcba5a66a1a62d189bbd9", "generator_version": "3.0"}
{"id": "v3_test_id_00006711", "prompt": "Solve the equation -8(x - 9) - 225 = x for x.", "solution_steps": ["Expand: -8x + 72 - 225 = x", "Combine constants: -8x - 153 = x", "Subtract x from both sides: -9x - 153 = 0", "Add 153 to both sides: -9x = 153", "Divide both sides by -9: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "-8(x - 9) - 225 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 9, \"d\": -225, \"x\": -17}", "seed": "11643404829044382880", "semantic_fingerprint": "sha256:5802893f0b392ae55351589ff69a8c084ac81eb0285f875e707a05d057a45c6a", "generator_version": "3.0"}
{"id": "v3_test_id_00006712", "prompt": "Find x: x - 5 = 12(x + 6)", "solution_steps": ["Expand: x - 5 = 12x + 72", "Subtract 12x from both sides: -11x - 5 = 72", "Add 5 to both sides: -11x = 77", "Divide both sides by -11: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 5 = 12(x + 6)", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 12, \"c\": 6}", "seed": "2554982622221952236", "semantic_fingerprint": "sha256:48dca8566cd945231ba23161260fdc95395d21b4f98a0b1c79d89531d6d9cdb8", "generator_version": "3.0"}
{"id": "v3_test_id_00006713", "prompt": "Solve the equation 8(x - 4) = 4(x + 7) for x.", "solution_steps": ["Expand: 8x - 32 = 4(x + 7)", "Expand: 8x - 32 = 4x + 28", "Subtract 4x from both sides: 4x - 32 = 28", "Add 32 to both sides: 4x = 60", "Divide both sides by 4: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 4) = 4(x + 7)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 4, \"c\": 4, \"d\": 7}", "seed": "9936739977482775495", "semantic_fingerprint": "sha256:12d7e292e8001d6baded949b3ef43f2c774b99355555606bf201a325d68f8269", "generator_version": "3.0"}
{"id": "v3_test_id_00006714", "prompt": "Evaluate: 0 + (-66 - (-293))", "solution_steps": ["Subtract: -66 - (-293) = 227", "Add: 0 + 227 = 227"], "final_answer": "227", "answer_type": "integer", "kind": "expression", "math_text": "0 + (-66 - (-293))", "variable": null, "family": "expression_2op", "shape": "(+ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -66, \"c\": -293}", "seed": "16641398266959228103", "semantic_fingerprint": "sha256:4a54133ca6ecfaebf78f2600368604d7b61c3b1b830ea9ab21838bc309f7b90f", "generator_version": "3.0"}
{"id": "v3_test_id_00006715", "prompt": "Evaluate: -76 / (38 / (-6) - (7 + 2 - 0))", "solution_steps": ["Divide: 38 / (-6) = -19/3", "Add: 7 + 2 = 9", "Subtract: 9 - 0 = 9", "Subtract: -19/3 - 9 = -46/3", "Divide: -76 / (-46/3) = 114/23"], "final_answer": "114/23", "answer_type": "rational", "kind": "expression", "math_text": "-76 / (38 / (-6) - (7 + 2 - 0))", "variable": null, "family": "expression_5op", "shape": "(/ n (- (/ n n) (- (+ n n) n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -76, \"b\": 38, \"c\": -6, \"d\": 7, \"e\": 2, \"f\": 0}", "seed": "6688664884621192516", "semantic_fingerprint": "sha256:81b402be368b1a2906f6716ec50db87b58cd1f43c73f24e7da9399833dcd7de4", "generator_version": "3.0"}
{"id": "v3_test_id_00006716", "prompt": "Solve the equation x + 12 = 5(x + 2) - 95 for x.", "solution_steps": ["Expand: x + 12 = 5x + 10 - 95", "Combine constants: x + 12 = 5x - 85", "Subtract 5x from both sides: -4x + 12 = -85", "Subtract 12 from both sides: -4x = -97", "Divide both sides by -4: x = 97/4"], "final_answer": "97/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "x + 12 = 5(x + 2) - 95", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x+b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 5, \"c\": 2, \"d\": 95}", "seed": "9753522033378227337", "semantic_fingerprint": "sha256:829b63f8e6052b2290578a90326fd6ba19aa66aa8559f24fd486b21458aa108c", "generator_version": "3.0"}
{"id": "v3_test_id_00006717", "prompt": "What is 387 / (22 - (-76))?", "solution_steps": ["Subtract: 22 - (-76) = 98", "Divide: 387 / 98 = 387/98"], "final_answer": "387/98", "answer_type": "rational", "kind": "expression", "math_text": "387 / (22 - (-76))", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 387, \"b\": 22, \"c\": -76}", "seed": "7389203699317324280", "semantic_fingerprint": "sha256:eefb50964704a1517fe3da88ec293f8241174b9431f10b1d0e501fb453fb968b", "generator_version": "3.0"}
{"id": "v3_test_id_00006718", "prompt": "Find x: -4(x + 8) = x - 7", "solution_steps": ["Expand: -4x - 32 = x - 7", "Subtract x from both sides: -5x - 32 = -7", "Add 32 to both sides: -5x = 25", "Divide both sides by -5: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 8) = x - 7", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 8, \"c\": 7}", "seed": "10179097976619858154", "semantic_fingerprint": "sha256:867d9319705eb32a08572c93e044456c8cad4457272ad5ab4353b42cf9da2b08", "generator_version": "3.0"}
{"id": "v3_test_id_00006719", "prompt": "Evaluate: -4 * (9 - (-403))", "solution_steps": ["Subtract: 9 - (-403) = 412", "Multiply: -4 * 412 = -1648"], "final_answer": "-1648", "answer_type": "integer", "kind": "expression", "math_text": "-4 * (9 - (-403))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 9, \"c\": -403}", "seed": "3874380246478371837", "semantic_fingerprint": "sha256:e5dd218161ae3d322ec0aa712b6ca9a1ef6be863c99ae09bcba84488eefe9be1", "generator_version": "3.0"}
{"id": "v3_test_id_00006720", "prompt": "Compute: (-1 - (-424) - (-87)) * (4 + (-37 + 189))", "solution_steps": ["Subtract: -1 - (-424) = 423", "Subtract: 423 - (-87) = 510", "Add: -37 + 189 = 152", "Add: 4 + 152 = 156", "Multiply: 510 * 156 = 79560"], "final_answer": "79560", "answer_type": "integer", "kind": "expression", "math_text": "(-1 - (-424) - (-87)) * (4 + (-37 + 189))", "variable": null, "family": "expression_5op", "shape": "(* (- (- n n) n) (+ n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -424, \"c\": -87, \"d\": 4, \"e\": -37, \"f\": 189}", "seed": "1700049567802319879", "semantic_fingerprint": "sha256:6f3620c0c33334d56f0ab012c8a89e4ef4326ac107a4395d35ec54a483bf7f09", "generator_version": "3.0"}
{"id": "v3_test_id_00006721", "prompt": "Calculate: -66 + (-48 - 7) * 748 + (-7 - 904)", "solution_steps": ["Subtract: -48 - 7 = -55", "Multiply: -55 * 748 = -41140", "Add: -66 + (-41140) = -41206", "Subtract: -7 - 904 = -911", "Add: -41206 + (-911) = -42117"], "final_answer": "-42117", "answer_type": "integer", "kind": "expression", "math_text": "-66 + (-48 - 7) * 748 + (-7 - 904)", "variable": null, "family": "expression_5op", "shape": "(+ (+ n (* (- n n) n)) (- n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -66, \"b\": -48, \"c\": 7, \"d\": 748, \"e\": -7, \"f\": 904}", "seed": "8329943530293842078", "semantic_fingerprint": "sha256:f61253c58742d4e9eeb5095686a93502217db64e852f47f763da42935a15ed1c", "generator_version": "3.0"}
{"id": "v3_test_id_00006722", "prompt": "Calculate: 884 / (-13) + 2", "solution_steps": ["Divide: 884 / (-13) = -68", "Add: -68 + 2 = -66"], "final_answer": "-66", "answer_type": "integer", "kind": "expression", "math_text": "884 / (-13) + 2", "variable": null, "family": "expression_2op", "shape": "(+ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 884, \"b\": -13, \"c\": 2}", "seed": "2598341255013673898", "semantic_fingerprint": "sha256:52aae6c22a6a1b20ba7d2ab473060faec33df7aba4bb431d82e2c450cb8cac7b", "generator_version": "3.0"}
{"id": "v3_test_id_00006723", "prompt": "Compute: -42 + (-63)", "solution_steps": ["Add: -42 + (-63) = -105"], "final_answer": "-105", "answer_type": "integer", "kind": "expression", "math_text": "-42 + (-63)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -42, \"b\": -63}", "seed": "11133446758941975717", "semantic_fingerprint": "sha256:4df3fe9f54fc6e5a0b1cbf18c626119ae9c077df1ea160f8475b9b2e0839e7c5", "generator_version": "3.0"}
{"id": "v3_test_id_00006724", "prompt": "Calculate: 8 + (-45) * 9", "solution_steps": ["Multiply: -45 * 9 = -405", "Add: 8 + (-405) = -397"], "final_answer": "-397", "answer_type": "integer", "kind": "expression", "math_text": "8 + (-45) * 9", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -45, \"c\": 9}", "seed": "13847546483754843231", "semantic_fingerprint": "sha256:e61a8db6ec45e2d1c35423b1ba7874d8fe53715294383ad4f4515230234816fb", "generator_version": "3.0"}
{"id": "v3_test_id_00006725", "prompt": "Compute: 8 / (-7) / (-928 * (-5)) + 1 / 7", "solution_steps": ["Divide: 8 / (-7) = -8/7", "Multiply: -928 * (-5) = 4640", "Divide: (-8/7) / 4640 = -1/4060", "Divide: 1 / 7 = 1/7", "Add: -1/4060 + 1/7 = 579/4060"], "final_answer": "579/4060", "answer_type": "rational", "kind": "expression", "math_text": "8 / (-7) / (-928 * (-5)) + 1 / 7", "variable": null, "family": "expression_5op", "shape": "(+ (/ (/ n n) (* n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -7, \"c\": -928, \"d\": -5, \"e\": 1, \"f\": 7}", "seed": "8312054359172650104", "semantic_fingerprint": "sha256:a3bf8e6471b7c59e8fa1d0570f053ebc86fae83da9b35f7f9bc68469526a0b5e", "generator_version": "3.0"}
{"id": "v3_test_id_00006726", "prompt": "What is 293 - (-75) - 318 / (-718)?", "solution_steps": ["Subtract: 293 - (-75) = 368", "Divide: 318 / (-718) = -159/359", "Subtract: 368 - (-159/359) = 132271/359"], "final_answer": "132271/359", "answer_type": "rational", "kind": "expression", "math_text": "293 - (-75) - 318 / (-718)", "variable": null, "family": "expression_3op", "shape": "(- (- n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 293, \"b\": -75, \"c\": 318, \"d\": -718}", "seed": "15142552417009406066", "semantic_fingerprint": "sha256:23a52ee46293d98f0ef736ff0d3acbf0ee4ac40a1b8c39c9cfdd756c54652254", "generator_version": "3.0"}
{"id": "v3_test_id_00006727", "prompt": "Evaluate: 5 + 83 * 21 - (-27)", "solution_steps": ["Multiply: 83 * 21 = 1743", "Add: 5 + 1743 = 1748", "Subtract: 1748 - (-27) = 1775"], "final_answer": "1775", "answer_type": "integer", "kind": "expression", "math_text": "5 + 83 * 21 - (-27)", "variable": null, "family": "expression_3op", "shape": "(- (+ n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 83, \"c\": 21, \"d\": -27}", "seed": "5334528892688372458", "semantic_fingerprint": "sha256:faa39926e727bc90a480f058f1eb0853e31d0ff46415b27162a2c816f2138943", "generator_version": "3.0"}
{"id": "v3_test_id_00006728", "prompt": "Calculate: 9 - (-581) + 30", "solution_steps": ["Subtract: 9 - (-581) = 590", "Add: 590 + 30 = 620"], "final_answer": "620", "answer_type": "integer", "kind": "expression", "math_text": "9 - (-581) + 30", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -581, \"c\": 30}", "seed": "15305337686858045081", "semantic_fingerprint": "sha256:45c57646cd980579bc4c976b003b8b21628e177720d0d929735b2b1d5f6f558a", "generator_version": "3.0"}
{"id": "v3_test_id_00006729", "prompt": "Calculate: 12 * (-8) * (-2 - (-999))", "solution_steps": ["Multiply: 12 * (-8) = -96", "Subtract: -2 - (-999) = 997", "Multiply: -96 * 997 = -95712"], "final_answer": "-95712", "answer_type": "integer", "kind": "expression", "math_text": "12 * (-8) * (-2 - (-999))", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": -8, \"c\": -2, \"d\": -999}", "seed": "2563425827814261758", "semantic_fingerprint": "sha256:c74a4975df11c4524849f6379f7faff32220b3440b78ff86b53a293e6ed9f685", "generator_version": "3.0"}
{"id": "v3_test_id_00006730", "prompt": "Compute: -55 * 96", "solution_steps": ["Multiply: -55 * 96 = -5280"], "final_answer": "-5280", "answer_type": "integer", "kind": "expression", "math_text": "-55 * 96", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -55, \"b\": 96}", "seed": "16550793106750733434", "semantic_fingerprint": "sha256:65b79766ac3d7ef81bdcf03b6a04bc8cc2ec2bc366e5e68de3692bf5eaf104e9", "generator_version": "3.0"}
{"id": "v3_test_id_00006731", "prompt": "What is (-5 - (-327) / (-6)) * (-19)?", "solution_steps": ["Divide: -327 / (-6) = 109/2", "Subtract: -5 - 109/2 = -119/2", "Multiply: (-119/2) * (-19) = 2261/2"], "final_answer": "2261/2", "answer_type": "rational", "kind": "expression", "math_text": "(-5 - (-327) / (-6)) * (-19)", "variable": null, "family": "expression_3op", "shape": "(* (- n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": -327, \"c\": -6, \"d\": -19}", "seed": "8861502696926884365", "semantic_fingerprint": "sha256:7e29bac64cb4557017f3ccad9465ecd1c556d7ebff7e8f3ecdd2a405271a2725", "generator_version": "3.0"}
{"id": "v3_test_id_00006732", "prompt": "Calculate: -52 - (-4)", "solution_steps": ["Subtract: -52 - (-4) = -48"], "final_answer": "-48", "answer_type": "integer", "kind": "expression", "math_text": "-52 - (-4)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -52, \"b\": -4}", "seed": "10037913166127258528", "semantic_fingerprint": "sha256:3865127bd3f38b940006e3176c505bd0bcf492d4517f4cbff3c7e0ca110d7876", "generator_version": "3.0"}
{"id": "v3_test_id_00006733", "prompt": "Calculate: 509 - 786 + (-482) / (97 - (-11)) - (-5)", "solution_steps": ["Subtract: 509 - 786 = -277", "Subtract: 97 - (-11) = 108", "Divide: -482 / 108 = -241/54", "Add: -277 + (-241/54) = -15199/54", "Subtract: -15199/54 - (-5) = -14929/54"], "final_answer": "-14929/54", "answer_type": "rational", "kind": "expression", "math_text": "509 - 786 + (-482) / (97 - (-11)) - (-5)", "variable": null, "family": "expression_5op", "shape": "(- (+ (- n n) (/ n (- n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 509, \"b\": 786, \"c\": -482, \"d\": 97, \"e\": -11, \"f\": -5}", "seed": "5235052987766616291", "semantic_fingerprint": "sha256:7f535a2a2cf1c7e8cc04e9ade136778986d900356009ac047298ada246ccd31a", "generator_version": "3.0"}
{"id": "v3_test_id_00006734", "prompt": "What is (1 + (-112 + (-343))) * (-131)?", "solution_steps": ["Add: -112 + (-343) = -455", "Add: 1 + (-455) = -454", "Multiply: -454 * (-131) = 59474"], "final_answer": "59474", "answer_type": "integer", "kind": "expression", "math_text": "(1 + (-112 + (-343))) * (-131)", "variable": null, "family": "expression_3op", "shape": "(* (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": -112, \"c\": -343, \"d\": -131}", "seed": "7586404411194531893", "semantic_fingerprint": "sha256:c89bef396382cba9c588315d005f932a0ad7d29abbea240229ace0ec012ecd22", "generator_version": "3.0"}
{"id": "v3_test_id_00006735", "prompt": "What is 23 + 39 / 1?", "solution_steps": ["Divide: 39 / 1 = 39", "Add: 23 + 39 = 62"], "final_answer": "62", "answer_type": "integer", "kind": "expression", "math_text": "23 + 39 / 1", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": 39, \"c\": 1}", "seed": "7455186036998402753", "semantic_fingerprint": "sha256:48eae03658bb82d3777270daa8ed7feeb8fc6b7a552361a0ed942803a499072a", "generator_version": "3.0"}
{"id": "v3_test_id_00006736", "prompt": "Evaluate: 0 / (-767) / (-10)", "solution_steps": ["Divide: 0 / (-767) = 0", "Divide: 0 / (-10) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-767) / (-10)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -767, \"c\": -10}", "seed": "488415507254506514", "semantic_fingerprint": "sha256:f0375d0fec7e9d3e66598f7124229b8272afbb80e04f4d3785dbe65d5f35f12e", "generator_version": "3.0"}
{"id": "v3_test_id_00006737", "prompt": "What is -13 / (4 / (-5 + 0) / 7)?", "solution_steps": ["Add: -5 + 0 = -5", "Divide: 4 / (-5) = -4/5", "Divide: (-4/5) / 7 = -4/35", "Divide: -13 / (-4/35) = 455/4"], "final_answer": "455/4", "answer_type": "rational", "kind": "expression", "math_text": "-13 / (4 / (-5 + 0) / 7)", "variable": null, "family": "expression_4op", "shape": "(/ n (/ (/ n (+ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -13, \"b\": 4, \"c\": -5, \"d\": 0, \"e\": 7}", "seed": "9272112583259243187", "semantic_fingerprint": "sha256:b610c549f7a1f7b12b10e67f99aaba5e75e0b05375e091d2dfd0f75d77591d46", "generator_version": "3.0"}
{"id": "v3_test_id_00006738", "prompt": "Evaluate: -771 + (-7)", "solution_steps": ["Add: -771 + (-7) = -778"], "final_answer": "-778", "answer_type": "integer", "kind": "expression", "math_text": "-771 + (-7)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -771, \"b\": -7}", "seed": "5875226129733048172", "semantic_fingerprint": "sha256:afffd42bb2f1d93a7a5ba4d177c9975871bce38728bf40ec7a0eb1d591dcfb06", "generator_version": "3.0"}
{"id": "v3_test_id_00006739", "prompt": "Solve the equation 4(x + 4) + 411 = 3(x - 35) + 32 for x.", "solution_steps": ["Expand: 4x + 16 + 411 = 3(x - 35) + 32", "Expand: 4x + 16 + 411 = 3x - 105 + 32", "Combine constants: 4x + 427 = 3x - 105 + 32", "Combine constants: 4x + 427 = 3x - 73", "Subtract 3x from both sides: x + 427 = -73", "Subtract 427 from both sides: x = -500"], "final_answer": "-500", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 4) + 411 = 3(x - 35) + 32", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 4, \"c\": 411, \"d\": 3, \"e\": 35, \"f\": 32}", "seed": "1458483639405994570", "semantic_fingerprint": "sha256:3328736412b6c80dc6835ecccd97a77d9bbfe8b1af7aa6b57577ff15573b5521", "generator_version": "3.0"}
{"id": "v3_test_id_00006740", "prompt": "Solve the equation x + 2 = -6x - 12 for x.", "solution_steps": ["Add 6x to both sides: 7x + 2 = -12", "Subtract 2 from both sides: 7x = -14", "Divide both sides by 7: x = -2"], "final_answer": "-2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 2 = -6x - 12", "variable": "x", "family": "linear_equation", "shape": "x+c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -6, \"c\": 12}", "seed": "15817797943791079866", "semantic_fingerprint": "sha256:b034fb1c0edd793a4f163044189bfba1f51a5dca57e72ec96c857880a0d2874f", "generator_version": "3.0"}
{"id": "v3_test_id_00006741", "prompt": "Evaluate: (2 - (-3)) * (5 / (35 - 745) - 99)", "solution_steps": ["Subtract: 2 - (-3) = 5", "Subtract: 35 - 745 = -710", "Divide: 5 / (-710) = -1/142", "Subtract: -1/142 - 99 = -14059/142", "Multiply: 5 * (-14059/142) = -70295/142"], "final_answer": "-70295/142", "answer_type": "rational", "kind": "expression", "math_text": "(2 - (-3)) * (5 / (35 - 745) - 99)", "variable": null, "family": "expression_5op", "shape": "(* (- n n) (- (/ n (- n n)) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -3, \"c\": 5, \"d\": 35, \"e\": 745, \"f\": 99}", "seed": "11284925308038851099", "semantic_fingerprint": "sha256:62d2d83b3d4335edc0e7ed9f1b735bd078b859ff530caad453a86d03a5a83375", "generator_version": "3.0"}
{"id": "v3_test_id_00006742", "prompt": "What is -22 / (45 - 15)?", "solution_steps": ["Subtract: 45 - 15 = 30", "Divide: -22 / 30 = -11/15"], "final_answer": "-11/15", "answer_type": "rational", "kind": "expression", "math_text": "-22 / (45 - 15)", "variable": null, "family": "expression_2op", "shape": "(/ n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -22, \"b\": 45, \"c\": 15}", "seed": "1206893226388508658", "semantic_fingerprint": "sha256:a181c19d811ed3bcda08b844d53c59d29e9cda3cb42450552763518fb4188f9c", "generator_version": "3.0"}
{"id": "v3_test_id_00006743", "prompt": "Compute: 2 - 77 - 78 * (-60) + 63", "solution_steps": ["Subtract: 2 - 77 = -75", "Multiply: 78 * (-60) = -4680", "Subtract: -75 - (-4680) = 4605", "Add: 4605 + 63 = 4668"], "final_answer": "4668", "answer_type": "integer", "kind": "expression", "math_text": "2 - 77 - 78 * (-60) + 63", "variable": null, "family": "expression_4op", "shape": "(+ (- (- n n) (* n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 77, \"c\": 78, \"d\": -60, \"e\": 63}", "seed": "328815620164115018", "semantic_fingerprint": "sha256:c45a8626378bdf0184ead8b7b179c7db1fd7dc4494bad3cc58c80e5137b4f010", "generator_version": "3.0"}
{"id": "v3_test_id_00006744", "prompt": "What is 39 * 40 - 328?", "solution_steps": ["Multiply: 39 * 40 = 1560", "Subtract: 1560 - 328 = 1232"], "final_answer": "1232", "answer_type": "integer", "kind": "expression", "math_text": "39 * 40 - 328", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": 40, \"c\": 328}", "seed": "2933188201457065382", "semantic_fingerprint": "sha256:a0feced8aa576023c6f8047fbf3aabeb29e1a684f122d134b5a713f862f71059", "generator_version": "3.0"}
{"id": "v3_test_id_00006745", "prompt": "What is 140 / (3 / (-5))?", "solution_steps": ["Divide: 3 / (-5) = -3/5", "Divide: 140 / (-3/5) = -700/3"], "final_answer": "-700/3", "answer_type": "rational", "kind": "expression", "math_text": "140 / (3 / (-5))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 140, \"b\": 3, \"c\": -5}", "seed": "6788635457189772425", "semantic_fingerprint": "sha256:b7a326307bf4745bcd9ef290381789dee0a523a45efb37050ebde76ab0075996", "generator_version": "3.0"}
{"id": "v3_test_id_00006746", "prompt": "Calculate: 60 - 84 + (-57) + (-14)", "solution_steps": ["Subtract: 60 - 84 = -24", "Add: -24 + (-57) = -81", "Add: -81 + (-14) = -95"], "final_answer": "-95", "answer_type": "integer", "kind": "expression", "math_text": "60 - 84 + (-57) + (-14)", "variable": null, "family": "expression_3op", "shape": "(+ (+ (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 60, \"b\": 84, \"c\": -57, \"d\": -14}", "seed": "14219298173283456583", "semantic_fingerprint": "sha256:f7d534163b051302dc5e1bb72af22750df067a5a524b7e2845a19d21e8e8e7ee", "generator_version": "3.0"}
{"id": "v3_test_id_00006747", "prompt": "What value of x satisfies 8x + 19 = x - 30?", "solution_steps": ["Subtract x from both sides: 7x + 19 = -30", "Subtract 19 from both sides: 7x = -49", "Divide both sides by 7: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x + 19 = x - 30", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 19, \"d\": -30, \"x\": -7}", "seed": "6259250851178881750", "semantic_fingerprint": "sha256:f06b62fe7e490cda297be24e8522753bee5f6b1f3535e4e82ededf8f339f531f", "generator_version": "3.0"}
{"id": "v3_test_id_00006748", "prompt": "What value of x satisfies 4(x - 69) + 249 = x?", "solution_steps": ["Expand: 4x - 276 + 249 = x", "Combine constants: 4x - 27 = x", "Subtract x from both sides: 3x - 27 = 0", "Add 27 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 - 69) + 249 = x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 69, \"d\": 249, \"x\": 9}", "seed": "8438931121584366045", "semantic_fingerprint": "sha256:69700d4701fc9a1357cc6caeb737614b4ff73107d306fe59598647f225363f41", "generator_version": "3.0"}
{"id": "v3_test_id_00006749", "prompt": "What is -478 * 4?", "solution_steps": ["Multiply: -478 * 4 = -1912"], "final_answer": "-1912", "answer_type": "integer", "kind": "expression", "math_text": "-478 * 4", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -478, \"b\": 4}", "seed": "12830216667508849208", "semantic_fingerprint": "sha256:cfc76c0b932debca03834c49567d0e7b55c40719413a27673d99fef1e3e5861c", "generator_version": "3.0"}
{"id": "v3_test_id_00006750", "prompt": "Compute: -7 * 98 - (-445 + 8)", "solution_steps": ["Multiply: -7 * 98 = -686", "Add: -445 + 8 = -437", "Subtract: -686 - (-437) = -249"], "final_answer": "-249", "answer_type": "integer", "kind": "expression", "math_text": "-7 * 98 - (-445 + 8)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": 98, \"c\": -445, \"d\": 8}", "seed": "1649218218645944844", "semantic_fingerprint": "sha256:0ae209a9f7da751dee0e17fc4a6d56620dd536f054209d336cff4408b6d1528e", "generator_version": "3.0"}
{"id": "v3_test_id_00006751", "prompt": "Solve for x: 3(x - 77) - 1 = -9(x + 22) + 194", "solution_steps": ["Expand: 3x - 231 - 1 = -9(x + 22) + 194", "Expand: 3x - 231 - 1 = -9x - 198 + 194", "Combine constants: 3x - 232 = -9x - 198 + 194", "Combine constants: 3x - 232 = -9x - 4", "Add 9x to both sides: 12x - 232 = -4", "Add 232 to both sides: 12x = 228", "Divide both sides by 12: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 77) - 1 = -9(x + 22) + 194", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 77, \"c\": 1, \"d\": -9, \"e\": 22, \"g\": 194, \"x\": 19}", "seed": "16873042175471908659", "semantic_fingerprint": "sha256:dc2a772cb68a025eae72d551cdcc0fdcd542ca5cebc76d1e770f0d415a2c3e91", "generator_version": "3.0"}
{"id": "v3_test_id_00006752", "prompt": "Find x: -4(x - 31) = 9x + 371", "solution_steps": ["Expand: -4x + 124 = 9x + 371", "Subtract 9x from both sides: -13x + 124 = 371", "Subtract 124 from both sides: -13x = 247", "Divide both sides by -13: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x - 31) = 9x + 371", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 31, \"c\": 9, \"e\": 371, \"x\": -19}", "seed": "6363855976908210312", "semantic_fingerprint": "sha256:a73ae47205c2a3ebc9b76fd39010f42291ef09e2846b576ece4c51940962d7d8", "generator_version": "3.0"}
{"id": "v3_test_id_00006753", "prompt": "Calculate: 9 + (-37) + (-9) / (-6 - 14)", "solution_steps": ["Add: 9 + (-37) = -28", "Subtract: -6 - 14 = -20", "Divide: -9 / (-20) = 9/20", "Add: -28 + 9/20 = -551/20"], "final_answer": "-551/20", "answer_type": "rational", "kind": "expression", "math_text": "9 + (-37) + (-9) / (-6 - 14)", "variable": null, "family": "expression_4op", "shape": "(+ (+ n n) (/ n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -37, \"c\": -9, \"d\": -6, \"e\": 14}", "seed": "2612244111399935797", "semantic_fingerprint": "sha256:d3384d067ec45432578f787dcf5296ea3398f8bb06178d71f375dc00b972a3c1", "generator_version": "3.0"}
{"id": "v3_test_id_00006754", "prompt": "Compute: -521 * (9 * 2) / (-4 - (1 - 91))", "solution_steps": ["Multiply: 9 * 2 = 18", "Multiply: -521 * 18 = -9378", "Subtract: 1 - 91 = -90", "Subtract: -4 - (-90) = 86", "Divide: -9378 / 86 = -4689/43"], "final_answer": "-4689/43", "answer_type": "rational", "kind": "expression", "math_text": "-521 * (9 * 2) / (-4 - (1 - 91))", "variable": null, "family": "expression_5op", "shape": "(/ (* n (* n n)) (- n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -521, \"b\": 9, \"c\": 2, \"d\": -4, \"e\": 1, \"f\": 91}", "seed": "6836308695449448912", "semantic_fingerprint": "sha256:eed90789eeb6642492f50370b538312a52e16f2022a9cde479b644c0ee62fd4e", "generator_version": "3.0"}
{"id": "v3_test_id_00006755", "prompt": "Calculate: (-6 - (-9)) * (-250 - 6)", "solution_steps": ["Subtract: -6 - (-9) = 3", "Subtract: -250 - 6 = -256", "Multiply: 3 * (-256) = -768"], "final_answer": "-768", "answer_type": "integer", "kind": "expression", "math_text": "(-6 - (-9)) * (-250 - 6)", "variable": null, "family": "expression_3op", "shape": "(* (- n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -9, \"c\": -250, \"d\": 6}", "seed": "8086664929923708522", "semantic_fingerprint": "sha256:292d609af2c09a8d45fe8a21582bccd6ec4a17c4f3ceb6918e5e97ee76e1cfa8", "generator_version": "3.0"}
{"id": "v3_test_id_00006756", "prompt": "What is -16 - (-3) / 11?", "solution_steps": ["Divide: -3 / 11 = -3/11", "Subtract: -16 - (-3/11) = -173/11"], "final_answer": "-173/11", "answer_type": "rational", "kind": "expression", "math_text": "-16 - (-3) / 11", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -16, \"b\": -3, \"c\": 11}", "seed": "285379902028544757", "semantic_fingerprint": "sha256:b3c6f9cc13e2a19fa2907706dde9c28583b68910c1794dc8600cec125e2aaa36", "generator_version": "3.0"}
{"id": "v3_test_id_00006757", "prompt": "Calculate: -119 * 60", "solution_steps": ["Multiply: -119 * 60 = -7140"], "final_answer": "-7140", "answer_type": "integer", "kind": "expression", "math_text": "-119 * 60", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -119, \"b\": 60}", "seed": "7771463631047017533", "semantic_fingerprint": "sha256:325eb19bf262e6af43235307da6c5452d5fbd287de4d29709a60e349c913b767", "generator_version": "3.0"}
{"id": "v3_test_id_00006758", "prompt": "Compute: -61 * 11 / 74", "solution_steps": ["Multiply: -61 * 11 = -671", "Divide: -671 / 74 = -671/74"], "final_answer": "-671/74", "answer_type": "rational", "kind": "expression", "math_text": "-61 * 11 / 74", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": 11, \"c\": 74}", "seed": "3045383857741467132", "semantic_fingerprint": "sha256:de0dc2b53920a5e466c9b9764bfb63a08681935efe676ca88dab0b13f11ec878", "generator_version": "3.0"}
{"id": "v3_test_id_00006759", "prompt": "Evaluate: -992 + 53", "solution_steps": ["Add: -992 + 53 = -939"], "final_answer": "-939", "answer_type": "integer", "kind": "expression", "math_text": "-992 + 53", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -992, \"b\": 53}", "seed": "14598721918996395565", "semantic_fingerprint": "sha256:af3e7bd8c3574501dd742fd1ccc355edbe301c6fcb8eb65e279c442359ba6912", "generator_version": "3.0"}
{"id": "v3_test_id_00006760", "prompt": "Compute: -20 + (-39)", "solution_steps": ["Add: -20 + (-39) = -59"], "final_answer": "-59", "answer_type": "integer", "kind": "expression", "math_text": "-20 + (-39)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -20, \"b\": -39}", "seed": "15760972356016917860", "semantic_fingerprint": "sha256:4b92ec2ba3e7c6b2f6571db25f1ae16a5dce0a0254a4c201e8fd084d44875a5a", "generator_version": "3.0"}
{"id": "v3_test_id_00006761", "prompt": "Solve for x: x = 3(x - 50) + 148", "solution_steps": ["Expand: x = 3x - 150 + 148", "Combine constants: x = 3x - 2", "Subtract 3x from both sides: -2x = -2", "Divide both sides by -2: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 3(x - 50) + 148", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 50, \"d\": 148, \"x\": 1}", "seed": "17646855269610344837", "semantic_fingerprint": "sha256:a5a61a6a9d19b8a551f9382d7975c994b835e3ec36993819c8d3c072bdb1c068", "generator_version": "3.0"}
{"id": "v3_test_id_00006762", "prompt": "Calculate: 41 + 29", "solution_steps": ["Add: 41 + 29 = 70"], "final_answer": "70", "answer_type": "integer", "kind": "expression", "math_text": "41 + 29", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 41, \"b\": 29}", "seed": "7743961949757331969", "semantic_fingerprint": "sha256:984c17c8c116302795fb22c20390d3d49e311fc24b33c570def58f090eb8ef3b", "generator_version": "3.0"}
{"id": "v3_test_id_00006763", "prompt": "What value of x satisfies -2(x + 77) = 9(x - 9)?", "solution_steps": ["Expand: -2x - 154 = 9(x - 9)", "Expand: -2x - 154 = 9x - 81", "Subtract 9x from both sides: -11x - 154 = -81", "Add 154 to both sides: -11x = 73", "Divide both sides by -11: x = -73/11"], "final_answer": "-73/11", "answer_type": "rational", "kind": "linear_equation", "math_text": "-2(x + 77) = 9(x - 9)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 77, \"c\": 9, \"d\": 9}", "seed": "6872792199031025463", "semantic_fingerprint": "sha256:a9ba41af46f6448cb0117d7457770e518dca102752de86af2f433c89df2c0ab0", "generator_version": "3.0"}
{"id": "v3_test_id_00006764", "prompt": "Evaluate: -1 * (-438) - (-8 - (-3))", "solution_steps": ["Multiply: -1 * (-438) = 438", "Subtract: -8 - (-3) = -5", "Subtract: 438 - (-5) = 443"], "final_answer": "443", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (-438) - (-8 - (-3))", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -438, \"c\": -8, \"d\": -3}", "seed": "9770756484445343783", "semantic_fingerprint": "sha256:051f49e87679853a6640a7da58381ea911ceab8b3f35be61a934daac2e114685", "generator_version": "3.0"}
{"id": "v3_test_id_00006765", "prompt": "Compute: 14 / ((8 - 91) / (-2))", "solution_steps": ["Subtract: 8 - 91 = -83", "Divide: -83 / (-2) = 83/2", "Divide: 14 / (83/2) = 28/83"], "final_answer": "28/83", "answer_type": "rational", "kind": "expression", "math_text": "14 / ((8 - 91) / (-2))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 8, \"c\": 91, \"d\": -2}", "seed": "13236371430085028757", "semantic_fingerprint": "sha256:ff954feb899b5e8fc9eddd1161bbc03f6ce296f277cedc5a92bf0c8d1da93eec", "generator_version": "3.0"}
{"id": "v3_test_id_00006766", "prompt": "Evaluate: 96 * (-7) * 63", "solution_steps": ["Multiply: 96 * (-7) = -672", "Multiply: -672 * 63 = -42336"], "final_answer": "-42336", "answer_type": "integer", "kind": "expression", "math_text": "96 * (-7) * 63", "variable": null, "family": "expression_2op", "shape": "(* (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 96, \"b\": -7, \"c\": 63}", "seed": "3700431378089706635", "semantic_fingerprint": "sha256:f425a573e582f568d305bc677c172184202acbd18c7f1665b9b4cb3e296337c5", "generator_version": "3.0"}
{"id": "v3_test_id_00006767", "prompt": "What value of x satisfies 4(x + 72) = 5x + 277?", "solution_steps": ["Expand: 4x + 288 = 5x + 277", "Subtract 5x from both sides: -x + 288 = 277", "Subtract 288 from both sides: -x = -11", "Divide both sides by -1: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "4(x + 72) = 5x + 277", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 72, \"c\": 5, \"e\": 277, \"x\": 11}", "seed": "14892168861132177892", "semantic_fingerprint": "sha256:a147a53e749e8c50144dc8c0590869a6c01e64d1f9d9e9b8b7bf654b00319407", "generator_version": "3.0"}
{"id": "v3_test_id_00006768", "prompt": "Solve for x: 12x = -228", "solution_steps": ["Divide both sides by 12: x = -19"], "final_answer": "-19", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = -228", "variable": "x", "family": "linear_equation", "shape": "kx=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 12, \"c\": -228, \"x\": -19}", "seed": "7473357833151045238", "semantic_fingerprint": "sha256:3423d09a773031d6ca6c09cc11cf4bfbad30270e7e1c9b232b784b04ee46b01c", "generator_version": "3.0"}
{"id": "v3_test_id_00006769", "prompt": "What value of x satisfies 11(x + 24) - 208 = 9(x + 8)?", "solution_steps": ["Expand: 11x + 264 - 208 = 9(x + 8)", "Expand: 11x + 264 - 208 = 9x + 72", "Combine constants: 11x + 56 = 9x + 72", "Subtract 9x from both sides: 2x + 56 = 72", "Subtract 56 from both sides: 2x = 16", "Divide both sides by 2: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 24) - 208 = 9(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\": 24, \"c\": 9, \"d\": 8, \"f\": -208, \"x\": 8}", "seed": "279573250412367519", "semantic_fingerprint": "sha256:792f76cf630edf838b8840149e7d6fa7a73d863d725bd95ff3f0823e4a212a88", "generator_version": "3.0"}
{"id": "v3_test_id_00006770", "prompt": "Find x: 3(x - 72) = 11(x - 610)", "solution_steps": ["Expand: 3x - 216 = 11(x - 610)", "Expand: 3x - 216 = 11x - 6710", "Subtract 11x from both sides: -8x - 216 = -6710", "Add 216 to both sides: -8x = -6494", "Divide both sides by -8: x = 3247/4"], "final_answer": "3247/4", "answer_type": "rational", "kind": "linear_equation", "math_text": "3(x - 72) = 11(x - 610)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 72, \"c\": 11, \"d\": 610}", "seed": "3675874989205237927", "semantic_fingerprint": "sha256:b08b84626bdefc3ecedba31996a57d396ee8d9ada6bff9a6fb55247b43e438ee", "generator_version": "3.0"}
{"id": "v3_test_id_00006771", "prompt": "What is 767 - (-1 - 7)?", "solution_steps": ["Subtract: -1 - 7 = -8", "Subtract: 767 - (-8) = 775"], "final_answer": "775", "answer_type": "integer", "kind": "expression", "math_text": "767 - (-1 - 7)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 767, \"b\": -1, \"c\": 7}", "seed": "11051074932666988265", "semantic_fingerprint": "sha256:5a31d9c4d1fadc87164f39972a39b402f1e00475a2c7ced87426013d0fdc91d6", "generator_version": "3.0"}
{"id": "v3_test_id_00006772", "prompt": "Solve the equation 11(x + 5) + 3 = -11(x - 44) + 36 for x.", "solution_steps": ["Expand: 11x + 55 + 3 = -11(x - 44) + 36", "Expand: 11x + 55 + 3 = -11x + 484 + 36", "Combine constants: 11x + 58 = -11x + 484 + 36", "Combine constants: 11x + 58 = -11x + 520", "Add 11x to both sides: 22x + 58 = 520", "Subtract 58 from both sides: 22x = 462", "Divide both sides by 22: x = 21"], "final_answer": "21", "answer_type": "integer", "kind": "linear_equation", "math_text": "11(x + 5) + 3 = -11(x - 44) + 36", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 5, \"c\": 3, \"d\": -11, \"e\": 44, \"f\": 36}", "seed": "14446625928845017678", "semantic_fingerprint": "sha256:495f8b706fee25f21933577cb04ba4ba3a6511fa1665be76baf70544d3815e22", "generator_version": "3.0"}
{"id": "v3_test_id_00006773", "prompt": "Calculate: 18 - 0 + (-8 + 829)", "solution_steps": ["Subtract: 18 - 0 = 18", "Add: -8 + 829 = 821", "Add: 18 + 821 = 839"], "final_answer": "839", "answer_type": "integer", "kind": "expression", "math_text": "18 - 0 + (-8 + 829)", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 18, \"b\": 0, \"c\": -8, \"d\": 829}", "seed": "11307108734137550266", "semantic_fingerprint": "sha256:7d153cdb87d6cf57a48548173c495e0eec1ff346715fbd38c18f3f99877ac3bf", "generator_version": "3.0"}
{"id": "v3_test_id_00006774", "prompt": "Compute: (2 + (-224 + (-98))) * (-4)", "solution_steps": ["Add: -224 + (-98) = -322", "Add: 2 + (-322) = -320", "Multiply: -320 * (-4) = 1280"], "final_answer": "1280", "answer_type": "integer", "kind": "expression", "math_text": "(2 + (-224 + (-98))) * (-4)", "variable": null, "family": "expression_3op", "shape": "(* (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": -224, \"c\": -98, \"d\": -4}", "seed": "18243287104366491602", "semantic_fingerprint": "sha256:01afbcf3de28e4d9016c70f3019eb1e01aa76975133b464bed340dd5b64e46f6", "generator_version": "3.0"}
{"id": "v3_test_id_00006775", "prompt": "Evaluate: -86 / (-89) - 37", "solution_steps": ["Divide: -86 / (-89) = 86/89", "Subtract: 86/89 - 37 = -3207/89"], "final_answer": "-3207/89", "answer_type": "rational", "kind": "expression", "math_text": "-86 / (-89) - 37", "variable": null, "family": "expression_2op", "shape": "(- (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": -89, \"c\": 37}", "seed": "7149490330403620607", "semantic_fingerprint": "sha256:e92317e78a61833296bffdbde1b2a881e93194157e7b884b782eb696b6d48fb7", "generator_version": "3.0"}
{"id": "v3_test_id_00006776", "prompt": "Evaluate: -8 + (-5)", "solution_steps": ["Add: -8 + (-5) = -13"], "final_answer": "-13", "answer_type": "integer", "kind": "expression", "math_text": "-8 + (-5)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -5}", "seed": "1267831408579497842", "semantic_fingerprint": "sha256:e5e219064cbb5c31a85c63a26cb3a24ed8765e60d3834a0d6c5884db6417396f", "generator_version": "3.0"}
{"id": "v3_test_id_00006777", "prompt": "Find x: 8(x + 5) = 200", "solution_steps": ["Expand: 8x + 40 = 200", "Subtract 40 from both sides: 8x = 160", "Divide both sides by 8: x = 20"], "final_answer": "20", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 5) = 200", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 5, \"d\": 200, \"x\": 20}", "seed": "4433386709093221046", "semantic_fingerprint": "sha256:1467200d9dbb8a2f483063fdf5f8b97682c116a826e8524f8dba2a1368df38d6", "generator_version": "3.0"}
{"id": "v3_test_id_00006778", "prompt": "What is -18 * 27 / (-21) + (-46)?", "solution_steps": ["Multiply: -18 * 27 = -486", "Divide: -486 / (-21) = 162/7", "Add: 162/7 + (-46) = -160/7"], "final_answer": "-160/7", "answer_type": "rational", "kind": "expression", "math_text": "-18 * 27 / (-21) + (-46)", "variable": null, "family": "expression_3op", "shape": "(+ (/ (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -18, \"b\": 27, \"c\": -21, \"d\": -46}", "seed": "6788437972826195948", "semantic_fingerprint": "sha256:cd8c9766feae883beac9a16dd56eee61b7e56874345a870dab2287688858396f", "generator_version": "3.0"}
{"id": "v3_test_id_00006779", "prompt": "What value of x satisfies 2(x + 83) + 166 = 8(x + 52)?", "solution_steps": ["Expand: 2x + 166 + 166 = 8(x + 52)", "Expand: 2x + 166 + 166 = 8x + 416", "Combine constants: 2x + 332 = 8x + 416", "Subtract 8x from both sides: -6x + 332 = 416", "Subtract 332 from both sides: -6x = 84", "Divide both sides by -6: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x + 83) + 166 = 8(x + 52)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 83, \"c\": 8, \"d\": 52, \"f\": 166, \"x\": -14}", "seed": "17447244088245320047", "semantic_fingerprint": "sha256:f8ab9ee9271b83206e824b7619d81c18fde3d26576726eb0bbf3927c6d99fe91", "generator_version": "3.0"}
{"id": "v3_test_id_00006780", "prompt": "What is -745 + (-37) + 84 - (-69)?", "solution_steps": ["Add: -745 + (-37) = -782", "Add: -782 + 84 = -698", "Subtract: -698 - (-69) = -629"], "final_answer": "-629", "answer_type": "integer", "kind": "expression", "math_text": "-745 + (-37) + 84 - (-69)", "variable": null, "family": "expression_3op", "shape": "(- (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -745, \"b\": -37, \"c\": 84, \"d\": -69}", "seed": "6743348101743638546", "semantic_fingerprint": "sha256:23440875632cb8c52957d415aebbbc9b905d8e53a47bd8d7561b1d68caf9d042", "generator_version": "3.0"}
{"id": "v3_test_id_00006781", "prompt": "Compute: -4 * (-898 * 7) * (-37) / (506 + 937)", "solution_steps": ["Multiply: -898 * 7 = -6286", "Multiply: -4 * (-6286) = 25144", "Multiply: 25144 * (-37) = -930328", "Add: 506 + 937 = 1443", "Divide: -930328 / 1443 = -25144/39"], "final_answer": "-25144/39", "answer_type": "rational", "kind": "expression", "math_text": "-4 * (-898 * 7) * (-37) / (506 + 937)", "variable": null, "family": "expression_5op", "shape": "(/ (* (* n (* n n)) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -898, \"c\": 7, \"d\": -37, \"e\": 506, \"f\": 937}", "seed": "428183041229194958", "semantic_fingerprint": "sha256:c8ee8eac2b4795037200848a9c81584fbcba799838a6cf1c692f390fd4b0ae16", "generator_version": "3.0"}
{"id": "v3_test_id_00006782", "prompt": "Evaluate: -6 + (-7 * (-71) + (-1))", "solution_steps": ["Multiply: -7 * (-71) = 497", "Add: 497 + (-1) = 496", "Add: -6 + 496 = 490"], "final_answer": "490", "answer_type": "integer", "kind": "expression", "math_text": "-6 + (-7 * (-71) + (-1))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -7, \"c\": -71, \"d\": -1}", "seed": "18263869317644587697", "semantic_fingerprint": "sha256:bbd56f145e6a1ff2b18db9a6aa6f01d57e74091bd3480a6d0141c08b1ed59cc0", "generator_version": "3.0"}
{"id": "v3_test_id_00006783", "prompt": "What is 6 + (-46)?", "solution_steps": ["Add: 6 + (-46) = -40"], "final_answer": "-40", "answer_type": "integer", "kind": "expression", "math_text": "6 + (-46)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -46}", "seed": "17939311849535172184", "semantic_fingerprint": "sha256:691d6e577b244e41912a24f7f27625724bba1de1159bcc8d37ef0b9f4c4779b2", "generator_version": "3.0"}
{"id": "v3_test_id_00006784", "prompt": "Compute: 2 - 57 - 0 + (-8)", "solution_steps": ["Subtract: 2 - 57 = -55", "Subtract: -55 - 0 = -55", "Add: -55 + (-8) = -63"], "final_answer": "-63", "answer_type": "integer", "kind": "expression", "math_text": "2 - 57 - 0 + (-8)", "variable": null, "family": "expression_3op", "shape": "(+ (- (- n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 57, \"c\": 0, \"d\": -8}", "seed": "6094593900763324580", "semantic_fingerprint": "sha256:8510c30a8c22956749bb617cc77cd3943c15eedb26a8d69f2a857f1dbc43e964", "generator_version": "3.0"}
{"id": "v3_test_id_00006785", "prompt": "Evaluate: -1 * (-42)", "solution_steps": ["Multiply: -1 * (-42) = 42"], "final_answer": "42", "answer_type": "integer", "kind": "expression", "math_text": "-1 * (-42)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -42}", "seed": "7881117995173578910", "semantic_fingerprint": "sha256:d14707eb83765484bb719dc13ca68472c311eb5ab96f9c8d4b0a9d3209dd0078", "generator_version": "3.0"}
{"id": "v3_test_id_00006786", "prompt": "What is 14 - (-115)?", "solution_steps": ["Subtract: 14 - (-115) = 129"], "final_answer": "129", "answer_type": "integer", "kind": "expression", "math_text": "14 - (-115)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": -115}", "seed": "10122066859330878487", "semantic_fingerprint": "sha256:55b9887816eec8a349e612f8564ad3867125cce1af34f9a13f09cce4886f8c42", "generator_version": "3.0"}
{"id": "v3_test_id_00006787", "prompt": "Solve for x: 10x = 5x", "solution_steps": ["Subtract 5x from both sides: 5x = 0", "Divide both sides by 5: x = 0"], "final_answer": "0", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = 5x", "variable": "x", "family": "linear_equation", "shape": "kx=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 5}", "seed": "15867213560223497174", "semantic_fingerprint": "sha256:2d1b83560dfb8350df27075acf1742b1b847afeb1777ca9c5e2df1137438aa5e", "generator_version": "3.0"}
{"id": "v3_test_id_00006788", "prompt": "Find x: 8(x - 7) = 10(x - 721) - 19", "solution_steps": ["Expand: 8x - 56 = 10(x - 721) - 19", "Expand: 8x - 56 = 10x - 7210 - 19", "Combine constants: 8x - 56 = 10x - 7229", "Subtract 10x from both sides: -2x - 56 = -7229", "Add 56 to both sides: -2x = -7173", "Divide both sides by -2: x = 7173/2"], "final_answer": "7173/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x - 7) = 10(x - 721) - 19", "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\": 10, \"d\": 721, \"e\": 19}", "seed": "65037965035503025", "semantic_fingerprint": "sha256:bd2853a80ce61e4d7c6bda85f6394b51f0b6a382dbc4f193184bf1e11e51970d", "generator_version": "3.0"}
{"id": "v3_test_id_00006789", "prompt": "Calculate: 69 + (-2) + (-11 - (-2)) + (-416)", "solution_steps": ["Add: 69 + (-2) = 67", "Subtract: -11 - (-2) = -9", "Add: 67 + (-9) = 58", "Add: 58 + (-416) = -358"], "final_answer": "-358", "answer_type": "integer", "kind": "expression", "math_text": "69 + (-2) + (-11 - (-2)) + (-416)", "variable": null, "family": "expression_4op", "shape": "(+ (+ (+ n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": -2, \"c\": -11, \"d\": -2, \"e\": -416}", "seed": "1096142192188548357", "semantic_fingerprint": "sha256:bfeaf4144954a0e2e88c88a7bf4989cf10fed75203f08f1057a1e410e98dfecf", "generator_version": "3.0"}
{"id": "v3_test_id_00006790", "prompt": "Solve for x: 5(x + 7) = 11x", "solution_steps": ["Expand: 5x + 35 = 11x", "Subtract 11x from both sides: -6x + 35 = 0", "Subtract 35 from both sides: -6x = -35", "Divide both sides by -6: x = 35/6"], "final_answer": "35/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x + 7) = 11x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 7, \"c\": 11}", "seed": "1444200296503638555", "semantic_fingerprint": "sha256:2923ea4ca08307371461313c4ea582286e7b7d141bd1348d76dde27ba2fa3481", "generator_version": "3.0"}
{"id": "v3_test_id_00006791", "prompt": "Compute: -4 - 70 * 2", "solution_steps": ["Multiply: 70 * 2 = 140", "Subtract: -4 - 140 = -144"], "final_answer": "-144", "answer_type": "integer", "kind": "expression", "math_text": "-4 - 70 * 2", "variable": null, "family": "expression_2op", "shape": "(- n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 70, \"c\": 2}", "seed": "144355950750579425", "semantic_fingerprint": "sha256:ca6166abe08120e9d3ab38e7e06ecac59287c3224274a361ea2b347263139788", "generator_version": "3.0"}
{"id": "v3_test_id_00006792", "prompt": "Find x: 6x - 84 = 12x", "solution_steps": ["Subtract 12x from both sides: -6x - 84 = 0", "Add 84 to both sides: -6x = 84", "Divide both sides by -6: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x - 84 = 12x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 12, \"d\": -84, \"x\": -14}", "seed": "1760053689073002149", "semantic_fingerprint": "sha256:599f6adc2b56fbe99066141cfc3a94b349286ca364d32146a3b81402e3fc4697", "generator_version": "3.0"}
{"id": "v3_test_id_00006793", "prompt": "Compute: 0 * (-17)", "solution_steps": ["Multiply: 0 * (-17) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-17)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -17}", "seed": "14408892749613422011", "semantic_fingerprint": "sha256:3267a7518ac05275249c02f093ff004d2410c7f9b883dbcd79f5ddaeac3a4929", "generator_version": "3.0"}
{"id": "v3_test_id_00006794", "prompt": "Solve for x: 12x + 6 = x - 5", "solution_steps": ["Subtract x from both sides: 11x + 6 = -5", "Subtract 6 from both sides: 11x = -11", "Divide both sides by 11: x = -1"], "final_answer": "-1", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x + 6 = x - 5", "variable": "x", "family": "linear_equation", "shape": "kx+c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 6, \"d\": -5, \"x\": -1}", "seed": "955747178594776994", "semantic_fingerprint": "sha256:1b61f36ff253fae053fa418529ea7ce47611dd9ac61a3f52126b0da7d9952c8a", "generator_version": "3.0"}
{"id": "v3_test_id_00006795", "prompt": "Calculate: 145 / 27", "solution_steps": ["Divide: 145 / 27 = 145/27"], "final_answer": "145/27", "answer_type": "rational", "kind": "expression", "math_text": "145 / 27", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 145, \"b\": 27}", "seed": "2373307187719077436", "semantic_fingerprint": "sha256:dd80e9edec3e0c60431cf6594b1e8612b6bffba23dd6bbdba62f3a052d7cb0d8", "generator_version": "3.0"}
{"id": "v3_test_id_00006796", "prompt": "What is (14 * 13 + (-24 + 8)) * (-706)?", "solution_steps": ["Multiply: 14 * 13 = 182", "Add: -24 + 8 = -16", "Add: 182 + (-16) = 166", "Multiply: 166 * (-706) = -117196"], "final_answer": "-117196", "answer_type": "integer", "kind": "expression", "math_text": "(14 * 13 + (-24 + 8)) * (-706)", "variable": null, "family": "expression_4op", "shape": "(* (+ (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 13, \"c\": -24, \"d\": 8, \"e\": -706}", "seed": "13382692094661001779", "semantic_fingerprint": "sha256:b01045aae03befc15d4839913244d1f0cd01b38fefc740ec1a848d6b3b2bc8cc", "generator_version": "3.0"}
{"id": "v3_test_id_00006797", "prompt": "Evaluate: 160 - (-2)", "solution_steps": ["Subtract: 160 - (-2) = 162"], "final_answer": "162", "answer_type": "integer", "kind": "expression", "math_text": "160 - (-2)", "variable": null, "family": "expression_1op", "shape": "(- n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 160, \"b\": -2}", "seed": "17016017301256144806", "semantic_fingerprint": "sha256:b8f4d17dc8c0defedd6fa45ddccca998d729f1f7111fab0bd663b659c7ee0317", "generator_version": "3.0"}
{"id": "v3_test_id_00006798", "prompt": "Calculate: (47 + (-79)) / 68 / (-85 + (-8))", "solution_steps": ["Add: 47 + (-79) = -32", "Divide: -32 / 68 = -8/17", "Add: -85 + (-8) = -93", "Divide: (-8/17) / (-93) = 8/1581"], "final_answer": "8/1581", "answer_type": "rational", "kind": "expression", "math_text": "(47 + (-79)) / 68 / (-85 + (-8))", "variable": null, "family": "expression_4op", "shape": "(/ (/ (+ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 47, \"b\": -79, \"c\": 68, \"d\": -85, \"e\": -8}", "seed": "12321165866450258183", "semantic_fingerprint": "sha256:7b5cd271dea2a0b8f3f8b4e0e3a50cbe38dfd3e632d98f80e7775f3840a2e24b", "generator_version": "3.0"}
{"id": "v3_test_id_00006799", "prompt": "What is -137 * (-57)?", "solution_steps": ["Multiply: -137 * (-57) = 7809"], "final_answer": "7809", "answer_type": "integer", "kind": "expression", "math_text": "-137 * (-57)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -137, \"b\": -57}", "seed": "17872534018742343770", "semantic_fingerprint": "sha256:9996e2cfd84658d941963d6807608ef350fbed26f9722f0736b596508566b9a9", "generator_version": "3.0"}
{"id": "v3_test_id_00006800", "prompt": "Compute: 0 * (-8 / (-75))", "solution_steps": ["Divide: -8 / (-75) = 8/75", "Multiply: 0 * (8/75) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 * (-8 / (-75))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -8, \"c\": -75}", "seed": "15459679828679145236", "semantic_fingerprint": "sha256:fb31cabe4b77e7b5bec8fd75a09282883fb4fbed70f0ba4f77c04608c4f6105c", "generator_version": "3.0"}
{"id": "v3_test_id_00006801", "prompt": "Solve the equation 3(x + 7) + 75 = 8x + 126 for x.", "solution_steps": ["Expand: 3x + 21 + 75 = 8x + 126", "Combine constants: 3x + 96 = 8x + 126", "Subtract 8x from both sides: -5x + 96 = 126", "Subtract 96 from both sides: -5x = 30", "Divide both sides by -5: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 7) + 75 = 8x + 126", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"c\": 75, \"d\": 8, \"f\": 126, \"x\": -6}", "seed": "14328584160320716116", "semantic_fingerprint": "sha256:4600a0c82c47b7625a12310bc7f5f133a90124bdff4dfc34ed76a9f4ffe2e639", "generator_version": "3.0"}
{"id": "v3_test_id_00006802", "prompt": "Calculate: (2 + 106) * (-8)", "solution_steps": ["Add: 2 + 106 = 108", "Multiply: 108 * (-8) = -864"], "final_answer": "-864", "answer_type": "integer", "kind": "expression", "math_text": "(2 + 106) * (-8)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 106, \"c\": -8}", "seed": "1455802669669035635", "semantic_fingerprint": "sha256:8f8cf249f0d3cfb1e26a681a38d9f7878d0104d20e4d12f08bc52f982453df0b", "generator_version": "3.0"}
{"id": "v3_test_id_00006803", "prompt": "Find x: 7(x + 73) - 528 = 8x", "solution_steps": ["Expand: 7x + 511 - 528 = 8x", "Combine constants: 7x - 17 = 8x", "Subtract 8x from both sides: -x - 17 = 0", "Add 17 to both sides: -x = 17", "Divide both sides by -1: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "7(x + 73) - 528 = 8x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 73, \"c\": 8, \"e\": -528, \"x\": -17}", "seed": "15688776247924609403", "semantic_fingerprint": "sha256:86de8e8c8d4e4692cfb5c1beccb4d57994f534e9632f942407b5564543a7683d", "generator_version": "3.0"}
{"id": "v3_test_id_00006804", "prompt": "What is 294 + 63?", "solution_steps": ["Add: 294 + 63 = 357"], "final_answer": "357", "answer_type": "integer", "kind": "expression", "math_text": "294 + 63", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 294, \"b\": 63}", "seed": "789387786304389850", "semantic_fingerprint": "sha256:6c2de625d0ceff2ef8fc76b4e769306a7a951656e52a78a7b23b921c827ef551", "generator_version": "3.0"}
{"id": "v3_test_id_00006805", "prompt": "Solve for x: x = 2(x + 39) - 68", "solution_steps": ["Expand: x = 2x + 78 - 68", "Combine constants: x = 2x + 10", "Subtract 2x from both sides: -x = 10", "Divide both sides by -1: x = -10"], "final_answer": "-10", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 2(x + 39) - 68", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 39, \"d\": -68, \"x\": -10}", "seed": "14002272520744827774", "semantic_fingerprint": "sha256:72e1c6c8e9da9458f41facb80ea314e4d5d06e8584152727617f6d38b26de280", "generator_version": "3.0"}
{"id": "v3_test_id_00006806", "prompt": "What is -2 * (-52 - 31 * (-88))?", "solution_steps": ["Multiply: 31 * (-88) = -2728", "Subtract: -52 - (-2728) = 2676", "Multiply: -2 * 2676 = -5352"], "final_answer": "-5352", "answer_type": "integer", "kind": "expression", "math_text": "-2 * (-52 - 31 * (-88))", "variable": null, "family": "expression_3op", "shape": "(* n (- n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -52, \"c\": 31, \"d\": -88}", "seed": "13560060222036093127", "semantic_fingerprint": "sha256:19f68ac8e2ae89e97b5ea4871037b9802b541c0d00a0f433a13bacb853282a3d", "generator_version": "3.0"}
{"id": "v3_test_id_00006807", "prompt": "Find x: 6x + 88 = x + 153", "solution_steps": ["Subtract x from both sides: 5x + 88 = 153", "Subtract 88 from both sides: 5x = 65", "Divide both sides by 5: x = 13"], "final_answer": "13", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x + 88 = x + 153", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 88, \"d\": 153, \"x\": 13}", "seed": "10476733903156475468", "semantic_fingerprint": "sha256:d2edbbd860a03322e937943008abea3894203c75fc1f081445b0a651c7309064", "generator_version": "3.0"}
{"id": "v3_test_id_00006808", "prompt": "Find x: x - 99 = 2x - 82", "solution_steps": ["Subtract 2x from both sides: -x - 99 = -82", "Add 99 to both sides: -x = 17", "Divide both sides by -1: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 99 = 2x - 82", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": 2, \"d\": -82, \"x\": -17}", "seed": "9825620806827555444", "semantic_fingerprint": "sha256:2bee71a2ae3d02201aeb9b383de4c1b73d2ea2b9e39eb9dac7d89b34526a4ca0", "generator_version": "3.0"}
{"id": "v3_test_id_00006809", "prompt": "What value of x satisfies 9(x - 200) - 1 = 6x + 95?", "solution_steps": ["Expand: 9x - 1800 - 1 = 6x + 95", "Combine constants: 9x - 1801 = 6x + 95", "Subtract 6x from both sides: 3x - 1801 = 95", "Add 1801 to both sides: 3x = 1896", "Divide both sides by 3: x = 632"], "final_answer": "632", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 200) - 1 = 6x + 95", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 200, \"c\": 1, \"d\": 6, \"e\": 95}", "seed": "5044719590146681334", "semantic_fingerprint": "sha256:2a5695e053f4eebbca6c606b5053dfe034061ebb0e692a9b2070fff182331c8a", "generator_version": "3.0"}
{"id": "v3_test_id_00006810", "prompt": "Solve for x: 8(x + 52) - 5 = 9(x - 49)", "solution_steps": ["Expand: 8x + 416 - 5 = 9(x - 49)", "Expand: 8x + 416 - 5 = 9x - 441", "Combine constants: 8x + 411 = 9x - 441", "Subtract 9x from both sides: -x + 411 = -441", "Subtract 411 from both sides: -x = -852", "Divide both sides by -1: x = 852"], "final_answer": "852", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 52) - 5 = 9(x - 49)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 52, \"c\": 5, \"d\": 9, \"e\": 49}", "seed": "9846143750226179136", "semantic_fingerprint": "sha256:49742d0d5aa579ba3319520c9282d192f9e1e07bff046e8f3ed40d26e585132c", "generator_version": "3.0"}
{"id": "v3_test_id_00006811", "prompt": "Evaluate: 69 - (-25 + (-98) - 3)", "solution_steps": ["Add: -25 + (-98) = -123", "Subtract: -123 - 3 = -126", "Subtract: 69 - (-126) = 195"], "final_answer": "195", "answer_type": "integer", "kind": "expression", "math_text": "69 - (-25 + (-98) - 3)", "variable": null, "family": "expression_3op", "shape": "(- n (- (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": -25, \"c\": -98, \"d\": 3}", "seed": "17868833265982867795", "semantic_fingerprint": "sha256:3281cad68c72a59bfa1ecd4ef5863aa39f18995a8c61bec4cb3a78f802852cb0", "generator_version": "3.0"}
{"id": "v3_test_id_00006812", "prompt": "What is -8 / (-7 / (-3)) / (-744) * (-23 + (-90))?", "solution_steps": ["Divide: -7 / (-3) = 7/3", "Divide: -8 / (7/3) = -24/7", "Divide: (-24/7) / (-744) = 1/217", "Add: -23 + (-90) = -113", "Multiply: (1/217) * (-113) = -113/217"], "final_answer": "-113/217", "answer_type": "rational", "kind": "expression", "math_text": "-8 / (-7 / (-3)) / (-744) * (-23 + (-90))", "variable": null, "family": "expression_5op", "shape": "(* (/ (/ n (/ n n)) n) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -7, \"c\": -3, \"d\": -744, \"e\": -23, \"f\": -90}", "seed": "15732708192707986773", "semantic_fingerprint": "sha256:4122b4b9f928935c2da32151b8c15685724c62917c8b8cd73a04c8c2bce4afa2", "generator_version": "3.0"}
{"id": "v3_test_id_00006813", "prompt": "Evaluate: -2 * (-1 * 29) / (-49)", "solution_steps": ["Multiply: -1 * 29 = -29", "Multiply: -2 * (-29) = 58", "Divide: 58 / (-49) = -58/49"], "final_answer": "-58/49", "answer_type": "rational", "kind": "expression", "math_text": "-2 * (-1 * 29) / (-49)", "variable": null, "family": "expression_3op", "shape": "(/ (* n (* n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": -1, \"c\": 29, \"d\": -49}", "seed": "16573914688628713003", "semantic_fingerprint": "sha256:f6e9952b9be5bde8b31fcacf2b1c535b4f646c6a0a86488479a5d1bf2e9b1c2e", "generator_version": "3.0"}
{"id": "v3_test_id_00006814", "prompt": "Solve for x: 9(x + 4) - 3 = -2x + 187", "solution_steps": ["Expand: 9x + 36 - 3 = -2x + 187", "Combine constants: 9x + 33 = -2x + 187", "Add 2x to both sides: 11x + 33 = 187", "Subtract 33 from both sides: 11x = 154", "Divide both sides by 11: x = 14"], "final_answer": "14", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x + 4) - 3 = -2x + 187", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 4, \"c\": 3, \"d\": -2, \"f\": 187, \"x\": 14}", "seed": "15505879781386495475", "semantic_fingerprint": "sha256:208728bb380e232fbc87d18b847e863278317861532fbf2fa7243f6e85265516", "generator_version": "3.0"}
{"id": "v3_test_id_00006815", "prompt": "Calculate: -7 * (-46 * 997 - 1)", "solution_steps": ["Multiply: -46 * 997 = -45862", "Subtract: -45862 - 1 = -45863", "Multiply: -7 * (-45863) = 321041"], "final_answer": "321041", "answer_type": "integer", "kind": "expression", "math_text": "-7 * (-46 * 997 - 1)", "variable": null, "family": "expression_3op", "shape": "(* n (- (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -46, \"c\": 997, \"d\": 1}", "seed": "9415141825729648704", "semantic_fingerprint": "sha256:6cb3605468d854536a20592f79589b35ff69531cde64e469e75da1cae5c756e6", "generator_version": "3.0"}
{"id": "v3_test_id_00006816", "prompt": "What is 1 + 7 / (-26)?", "solution_steps": ["Divide: 7 / (-26) = -7/26", "Add: 1 + (-7/26) = 19/26"], "final_answer": "19/26", "answer_type": "rational", "kind": "expression", "math_text": "1 + 7 / (-26)", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 7, \"c\": -26}", "seed": "14269599179710001927", "semantic_fingerprint": "sha256:c55c9c5ce77ff2f88802bc4cd0a49cfab01b94c32994fb9af41e163d59c6d1f9", "generator_version": "3.0"}
{"id": "v3_test_id_00006817", "prompt": "Evaluate: -75 / 2", "solution_steps": ["Divide: -75 / 2 = -75/2"], "final_answer": "-75/2", "answer_type": "rational", "kind": "expression", "math_text": "-75 / 2", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": 2}", "seed": "9932688773725094120", "semantic_fingerprint": "sha256:30da0d1e7402408abae10c50bb133618911f76e405df773e5ab5e94d1898c81f", "generator_version": "3.0"}
{"id": "v3_test_id_00006818", "prompt": "What is -75 - 38 + 79?", "solution_steps": ["Subtract: -75 - 38 = -113", "Add: -113 + 79 = -34"], "final_answer": "-34", "answer_type": "integer", "kind": "expression", "math_text": "-75 - 38 + 79", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": 38, \"c\": 79}", "seed": "430679948959883792", "semantic_fingerprint": "sha256:a67cdef51e65fcc1a269e2d79a4bfe97de72594a497107ef82164c1ee03fd532", "generator_version": "3.0"}
{"id": "v3_test_id_00006819", "prompt": "Compute: 9 / (62 / (-53 * (-59)) * (-61 / 3))", "solution_steps": ["Multiply: -53 * (-59) = 3127", "Divide: 62 / 3127 = 62/3127", "Divide: -61 / 3 = -61/3", "Multiply: (62/3127) * (-61/3) = -3782/9381", "Divide: 9 / (-3782/9381) = -84429/3782"], "final_answer": "-84429/3782", "answer_type": "rational", "kind": "expression", "math_text": "9 / (62 / (-53 * (-59)) * (-61 / 3))", "variable": null, "family": "expression_5op", "shape": "(/ n (* (/ n (* n n)) (/ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 62, \"c\": -53, \"d\": -59, \"e\": -61, \"f\": 3}", "seed": "9887020253609907272", "semantic_fingerprint": "sha256:ee2916db0cd231e7c94a65ccf071837644f7548dc95b22212548c9632e6e80a6", "generator_version": "3.0"}
{"id": "v3_test_id_00006820", "prompt": "Calculate: -40 * (-65)", "solution_steps": ["Multiply: -40 * (-65) = 2600"], "final_answer": "2600", "answer_type": "integer", "kind": "expression", "math_text": "-40 * (-65)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -40, \"b\": -65}", "seed": "6135031603825249709", "semantic_fingerprint": "sha256:c58f812567ae8675f75da458e083b351f4f1507083a435a91125e941101f07c5", "generator_version": "3.0"}
{"id": "v3_test_id_00006821", "prompt": "Solve for x: 2(x - 3) + 33 = 10x - 125", "solution_steps": ["Expand: 2x - 6 + 33 = 10x - 125", "Combine constants: 2x + 27 = 10x - 125", "Subtract 10x from both sides: -8x + 27 = -125", "Subtract 27 from both sides: -8x = -152", "Divide both sides by -8: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 3) + 33 = 10x - 125", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 3, \"c\": 33, \"d\": 10, \"f\": -125, \"x\": 19}", "seed": "11270478693338861676", "semantic_fingerprint": "sha256:5c9fe2a90427c93908733a1758917dc9cb0d0329ebe8e22de39d9b353bda6bf2", "generator_version": "3.0"}
{"id": "v3_test_id_00006822", "prompt": "What is 21 + (6 + (-942 - 687) * 7)?", "solution_steps": ["Subtract: -942 - 687 = -1629", "Multiply: -1629 * 7 = -11403", "Add: 6 + (-11403) = -11397", "Add: 21 + (-11397) = -11376"], "final_answer": "-11376", "answer_type": "integer", "kind": "expression", "math_text": "21 + (6 + (-942 - 687) * 7)", "variable": null, "family": "expression_4op", "shape": "(+ n (+ n (* (- n n) n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": 6, \"c\": -942, \"d\": 687, \"e\": 7}", "seed": "3132075493625545618", "semantic_fingerprint": "sha256:a376745e43921b09553c06cbf7cd5510ddff6b1319a34732155e636409834c92", "generator_version": "3.0"}
{"id": "v3_test_id_00006823", "prompt": "Compute: 440 + 62", "solution_steps": ["Add: 440 + 62 = 502"], "final_answer": "502", "answer_type": "integer", "kind": "expression", "math_text": "440 + 62", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 440, \"b\": 62}", "seed": "16895634510020109834", "semantic_fingerprint": "sha256:7613dee229e102bf932ab552bfee5770639786259522ad476e481d55d67b1489", "generator_version": "3.0"}
{"id": "v3_test_id_00006824", "prompt": "Solve for x: x = 3(x - 25) + 105", "solution_steps": ["Expand: x = 3x - 75 + 105", "Combine constants: x = 3x + 30", "Subtract 3x from both sides: -2x = 30", "Divide both sides by -2: x = -15"], "final_answer": "-15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 3(x - 25) + 105", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 25, \"d\": 105, \"x\": -15}", "seed": "2000301327109043501", "semantic_fingerprint": "sha256:3dc267b710a15dae5350588234978853010fe93fc8760a291419496804761d70", "generator_version": "3.0"}
{"id": "v3_test_id_00006825", "prompt": "Find x: 2(x - 5) + 265 = 12(x - 2) + 449", "solution_steps": ["Expand: 2x - 10 + 265 = 12(x - 2) + 449", "Expand: 2x - 10 + 265 = 12x - 24 + 449", "Combine constants: 2x + 255 = 12x - 24 + 449", "Combine constants: 2x + 255 = 12x + 425", "Subtract 12x from both sides: -10x + 255 = 425", "Subtract 255 from both sides: -10x = 170", "Divide both sides by -10: x = -17"], "final_answer": "-17", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 5) + 265 = 12(x - 2) + 449", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 5, \"c\": 265, \"d\": 12, \"e\": 2, \"g\": 449, \"x\": -17}", "seed": "14343985270087800019", "semantic_fingerprint": "sha256:5da79257143e8e6408356e84f8ad3b3b86524499c6d767207d9990179c2fa246", "generator_version": "3.0"}
{"id": "v3_test_id_00006826", "prompt": "Find x: 6(x - 5) = 4(x + 12) - 48", "solution_steps": ["Expand: 6x - 30 = 4(x + 12) - 48", "Expand: 6x - 30 = 4x + 48 - 48", "Combine constants: 6x - 30 = 4x", "Subtract 4x from both sides: 2x - 30 = 0", "Add 30 to both sides: 2x = 30", "Divide both sides by 2: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 5) = 4(x + 12) - 48", "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\": 4, \"d\": 12, \"f\": -48, \"x\": 15}", "seed": "3626448283383779351", "semantic_fingerprint": "sha256:9bfb7118d746d9b60648c16b3a3ea929b5f67e5198f24391d7e840b7277ba60b", "generator_version": "3.0"}
{"id": "v3_test_id_00006827", "prompt": "Solve the equation 5(x - 665) - 44 = 3x - 950 for x.", "solution_steps": ["Expand: 5x - 3325 - 44 = 3x - 950", "Combine constants: 5x - 3369 = 3x - 950", "Subtract 3x from both sides: 2x - 3369 = -950", "Add 3369 to both sides: 2x = 2419", "Divide both sides by 2: x = 2419/2"], "final_answer": "2419/2", "answer_type": "rational", "kind": "linear_equation", "math_text": "5(x - 665) - 44 = 3x - 950", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 665, \"c\": 44, \"d\": 3, \"e\": 950}", "seed": "5657068444690072308", "semantic_fingerprint": "sha256:2c8ef871260cefaf1738ce0a46d8bb57f9611fd61bcec12b321d05478c303b4c", "generator_version": "3.0"}
{"id": "v3_test_id_00006828", "prompt": "Evaluate: -4 / (-184) - (-97) + 0", "solution_steps": ["Divide: -4 / (-184) = 1/46", "Subtract: 1/46 - (-97) = 4463/46", "Add: 4463/46 + 0 = 4463/46"], "final_answer": "4463/46", "answer_type": "rational", "kind": "expression", "math_text": "-4 / (-184) - (-97) + 0", "variable": null, "family": "expression_3op", "shape": "(+ (- (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": -184, \"c\": -97, \"d\": 0}", "seed": "9216681841340443389", "semantic_fingerprint": "sha256:2a6da2afaca8edcc70480527f722486a3c9c189d00aea36164752c877120dab1", "generator_version": "3.0"}
{"id": "v3_test_id_00006829", "prompt": "Evaluate: -622 + (-222) / 3", "solution_steps": ["Divide: -222 / 3 = -74", "Add: -622 + (-74) = -696"], "final_answer": "-696", "answer_type": "integer", "kind": "expression", "math_text": "-622 + (-222) / 3", "variable": null, "family": "expression_2op", "shape": "(+ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -622, \"b\": -222, \"c\": 3}", "seed": "10695515133535309491", "semantic_fingerprint": "sha256:2ad13f12983c7a22a08c57383337c6537b71e41af1bc713df769701651298226", "generator_version": "3.0"}
{"id": "v3_test_id_00006830", "prompt": "What value of x satisfies -8(x + 87) = 10(x - 108)?", "solution_steps": ["Expand: -8x - 696 = 10(x - 108)", "Expand: -8x - 696 = 10x - 1080", "Subtract 10x from both sides: -18x - 696 = -1080", "Add 696 to both sides: -18x = -384", "Divide both sides by -18: x = 64/3"], "final_answer": "64/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "-8(x + 87) = 10(x - 108)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 87, \"c\": 10, \"d\": 108}", "seed": "801699569119493380", "semantic_fingerprint": "sha256:42c1e0915f71bc12a18202f7f9b02ddc9b6ace966fab3b00b649ea80b6d53cd7", "generator_version": "3.0"}
{"id": "v3_test_id_00006831", "prompt": "Find x: -4x - 51 = 4x + 21", "solution_steps": ["Subtract 4x from both sides: -8x - 51 = 21", "Add 51 to both sides: -8x = 72", "Divide both sides by -8: x = -9"], "final_answer": "-9", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x - 51 = 4x + 21", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 51, \"c\": 4, \"e\": 21, \"x\": -9}", "seed": "17722660063752023961", "semantic_fingerprint": "sha256:8290779b32fed74bd09aff150b8c792705f073a34fc3cb25149eb8bfd5c2ed27", "generator_version": "3.0"}
{"id": "v3_test_id_00006832", "prompt": "Calculate: 333 - 2 - 5", "solution_steps": ["Subtract: 333 - 2 = 331", "Subtract: 331 - 5 = 326"], "final_answer": "326", "answer_type": "integer", "kind": "expression", "math_text": "333 - 2 - 5", "variable": null, "family": "expression_2op", "shape": "(- (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 333, \"b\": 2, \"c\": 5}", "seed": "2686165194833791331", "semantic_fingerprint": "sha256:c57ecfd3d1623a065d38ec194f61a51bf3fc57c82a0f1087b9d958ede18b9523", "generator_version": "3.0"}
{"id": "v3_test_id_00006833", "prompt": "Compute: 441 + 2", "solution_steps": ["Add: 441 + 2 = 443"], "final_answer": "443", "answer_type": "integer", "kind": "expression", "math_text": "441 + 2", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 441, \"b\": 2}", "seed": "11714676924337242222", "semantic_fingerprint": "sha256:dec2611b1714e134d2f925ffea073a0c12127683249c4137ae72b64191cdd679", "generator_version": "3.0"}
{"id": "v3_test_id_00006834", "prompt": "Calculate: 6 * (-38) / (0 + (-70)) + 6", "solution_steps": ["Multiply: 6 * (-38) = -228", "Add: 0 + (-70) = -70", "Divide: -228 / (-70) = 114/35", "Add: 114/35 + 6 = 324/35"], "final_answer": "324/35", "answer_type": "rational", "kind": "expression", "math_text": "6 * (-38) / (0 + (-70)) + 6", "variable": null, "family": "expression_4op", "shape": "(+ (/ (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": -38, \"c\": 0, \"d\": -70, \"e\": 6}", "seed": "17142441628574005235", "semantic_fingerprint": "sha256:6b97396521d425ef4aa10994445c7f7867ca29f35ffc041faa7f071eeb158ba8", "generator_version": "3.0"}
{"id": "v3_test_id_00006835", "prompt": "Evaluate: -6 * (-5) - (-78) / (-12)", "solution_steps": ["Multiply: -6 * (-5) = 30", "Divide: -78 / (-12) = 13/2", "Subtract: 30 - 13/2 = 47/2"], "final_answer": "47/2", "answer_type": "rational", "kind": "expression", "math_text": "-6 * (-5) - (-78) / (-12)", "variable": null, "family": "expression_3op", "shape": "(- (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -5, \"c\": -78, \"d\": -12}", "seed": "11427552720567618156", "semantic_fingerprint": "sha256:f36c71808ff30b6164b9f01bc46d83806fb6d093f0477e2d14d4642e6f9de0f0", "generator_version": "3.0"}
{"id": "v3_test_id_00006836", "prompt": "Calculate: 26 + (-14) + 8", "solution_steps": ["Add: 26 + (-14) = 12", "Add: 12 + 8 = 20"], "final_answer": "20", "answer_type": "integer", "kind": "expression", "math_text": "26 + (-14) + 8", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 26, \"b\": -14, \"c\": 8}", "seed": "721324541253972132", "semantic_fingerprint": "sha256:94a5f79c023101c46f84582b681429adee17d50a5fcb128339e27e5ceba1a337", "generator_version": "3.0"}
{"id": "v3_test_id_00006837", "prompt": "Solve for x: 7(x - 7) = x + 7", "solution_steps": ["Expand: 7x - 49 = x + 7", "Subtract x from both sides: 6x - 49 = 7", "Add 49 to both sides: 6x = 56", "Divide both sides by 6: x = 28/3"], "final_answer": "28/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "7(x - 7) = x + 7", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 7, \"c\": 7}", "seed": "8490307134697823459", "semantic_fingerprint": "sha256:6634f08f5c98ad477e326b3df90ad4e9b3cd30efc6e23914f79afedcffa1e769", "generator_version": "3.0"}
{"id": "v3_test_id_00006838", "prompt": "Evaluate: 92 + (-2) * (5 + 97)", "solution_steps": ["Add: 5 + 97 = 102", "Multiply: -2 * 102 = -204", "Add: 92 + (-204) = -112"], "final_answer": "-112", "answer_type": "integer", "kind": "expression", "math_text": "92 + (-2) * (5 + 97)", "variable": null, "family": "expression_3op", "shape": "(+ n (* n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 92, \"b\": -2, \"c\": 5, \"d\": 97}", "seed": "12312595917279041403", "semantic_fingerprint": "sha256:490b652ab87ac72bbfcc31226d77c40441a9e7982c6992fcb0a170deee992f27", "generator_version": "3.0"}
{"id": "v3_test_id_00006839", "prompt": "What is (69 + 686) * (-11)?", "solution_steps": ["Add: 69 + 686 = 755", "Multiply: 755 * (-11) = -8305"], "final_answer": "-8305", "answer_type": "integer", "kind": "expression", "math_text": "(69 + 686) * (-11)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 69, \"b\": 686, \"c\": -11}", "seed": "17205811656129011700", "semantic_fingerprint": "sha256:395df0b989212d84672351ce94a2913730d1c75795200dcc5046a2e90ac308e9", "generator_version": "3.0"}
{"id": "v3_test_id_00006840", "prompt": "Solve the equation -12x + 72 = x + 280 for x.", "solution_steps": ["Subtract x from both sides: -13x + 72 = 280", "Subtract 72 from both sides: -13x = 208", "Divide both sides by -13: x = -16"], "final_answer": "-16", "answer_type": "integer", "kind": "linear_equation", "math_text": "-12x + 72 = x + 280", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -12, \"b\": 72, \"d\": 280, \"x\": -16}", "seed": "6855021322345143939", "semantic_fingerprint": "sha256:3a76c1ebe93424c3e36518cb149165de2060ba8a30a33b31791d9bb1e17c4307", "generator_version": "3.0"}
{"id": "v3_test_id_00006841", "prompt": "Solve for x: 2x + 64 = 10x", "solution_steps": ["Subtract 10x from both sides: -8x + 64 = 0", "Subtract 64 from both sides: -8x = -64", "Divide both sides by -8: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "2x + 64 = 10x", "variable": "x", "family": "linear_equation", "shape": "kx+c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 10, \"d\": 64, \"x\": 8}", "seed": "6126927861069163569", "semantic_fingerprint": "sha256:b4090640bdef7b5099b168e28f96969bf88c79fc957e2983d9469e3bf9c1b44e", "generator_version": "3.0"}
{"id": "v3_test_id_00006842", "prompt": "Solve the equation 6(x + 7) - 83 = 11(x - 753) + 5 for x.", "solution_steps": ["Expand: 6x + 42 - 83 = 11(x - 753) + 5", "Expand: 6x + 42 - 83 = 11x - 8283 + 5", "Combine constants: 6x - 41 = 11x - 8283 + 5", "Combine constants: 6x - 41 = 11x - 8278", "Subtract 11x from both sides: -5x - 41 = -8278", "Add 41 to both sides: -5x = -8237", "Divide both sides by -5: x = 8237/5"], "final_answer": "8237/5", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 7) - 83 = 11(x - 753) + 5", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 7, \"c\": 83, \"d\": 11, \"e\": 753, \"f\": 5}", "seed": "8008567066928429102", "semantic_fingerprint": "sha256:e3f89a2184e44f194e8719c1a51fcb939da113d2f468e6ea5345882c5eddc59a", "generator_version": "3.0"}
{"id": "v3_test_id_00006843", "prompt": "Solve for x: 7x - 9 = x + 27", "solution_steps": ["Subtract x from both sides: 6x - 9 = 27", "Add 9 to both sides: 6x = 36", "Divide both sides by 6: x = 6"], "final_answer": "6", "answer_type": "integer", "kind": "linear_equation", "math_text": "7x - 9 = x + 27", "variable": "x", "family": "linear_equation", "shape": "kx-c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 9, \"d\": 27, \"x\": 6}", "seed": "433672896082865438", "semantic_fingerprint": "sha256:30f26c2df9b0c585020850b87a194b4fda6d030256c14e146729d170637bcbd7", "generator_version": "3.0"}
{"id": "v3_test_id_00006844", "prompt": "Compute: 372 / 493 / 6 / 13", "solution_steps": ["Divide: 372 / 493 = 372/493", "Divide: (372/493) / 6 = 62/493", "Divide: (62/493) / 13 = 62/6409"], "final_answer": "62/6409", "answer_type": "rational", "kind": "expression", "math_text": "372 / 493 / 6 / 13", "variable": null, "family": "expression_3op", "shape": "(/ (/ (/ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 372, \"b\": 493, \"c\": 6, \"d\": 13}", "seed": "8339622870203025827", "semantic_fingerprint": "sha256:1185c3c0a2a6efa8acc6ebc9547d0c7a32eaf92eb4b8af7ca5f38ccf7299d8a0", "generator_version": "3.0"}
{"id": "v3_test_id_00006845", "prompt": "Evaluate: -58 + 0", "solution_steps": ["Add: -58 + 0 = -58"], "final_answer": "-58", "answer_type": "integer", "kind": "expression", "math_text": "-58 + 0", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": 0}", "seed": "5457576684658602512", "semantic_fingerprint": "sha256:9f80d41e5c9d8aecfd0a73ee37a5f64d917badf89d61dd3c660f5676d3f80df3", "generator_version": "3.0"}
{"id": "v3_test_id_00006846", "prompt": "What is -2 / (6 * (-83) * 6) - (-59)?", "solution_steps": ["Multiply: 6 * (-83) = -498", "Multiply: -498 * 6 = -2988", "Divide: -2 / (-2988) = 1/1494", "Subtract: 1/1494 - (-59) = 88147/1494"], "final_answer": "88147/1494", "answer_type": "rational", "kind": "expression", "math_text": "-2 / (6 * (-83) * 6) - (-59)", "variable": null, "family": "expression_4op", "shape": "(- (/ n (* (* n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 6, \"c\": -83, \"d\": 6, \"e\": -59}", "seed": "2487639530980495045", "semantic_fingerprint": "sha256:d9ee8a46543fd0148264210e73c35a4221b7855bb0fde848e3b841df224d8699", "generator_version": "3.0"}
{"id": "v3_test_id_00006847", "prompt": "Evaluate: (3 - 5) * (8 + 59 + (-33) / (-93))", "solution_steps": ["Subtract: 3 - 5 = -2", "Add: 8 + 59 = 67", "Divide: -33 / (-93) = 11/31", "Add: 67 + 11/31 = 2088/31", "Multiply: -2 * (2088/31) = -4176/31"], "final_answer": "-4176/31", "answer_type": "rational", "kind": "expression", "math_text": "(3 - 5) * (8 + 59 + (-33) / (-93))", "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\": 59, \"e\": -33, \"f\": -93}", "seed": "6419428224547001669", "semantic_fingerprint": "sha256:f6264ad0e8b3a620c2a2c87ee38802a0bbc870aaf8ee55b2ea2ca12119eecfad", "generator_version": "3.0"}
{"id": "v3_test_id_00006848", "prompt": "Find x: -4(x + 24) - 144 = 9x - 487", "solution_steps": ["Expand: -4x - 96 - 144 = 9x - 487", "Combine constants: -4x - 240 = 9x - 487", "Subtract 9x from both sides: -13x - 240 = -487", "Add 240 to both sides: -13x = -247", "Divide both sides by -13: x = 19"], "final_answer": "19", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4(x + 24) - 144 = 9x - 487", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 24, \"c\": 144, \"d\": 9, \"f\": -487, \"x\": 19}", "seed": "708929959917105536", "semantic_fingerprint": "sha256:22358d947f9fd62c2036dcfa0500b8edba16b1a592e11c3fe62c4f117ce334c8", "generator_version": "3.0"}
{"id": "v3_test_id_00006849", "prompt": "What value of x satisfies 10(x - 7) = -3x?", "solution_steps": ["Expand: 10x - 70 = -3x", "Add 3x to both sides: 13x - 70 = 0", "Add 70 to both sides: 13x = 70", "Divide both sides by 13: x = 70/13"], "final_answer": "70/13", "answer_type": "rational", "kind": "linear_equation", "math_text": "10(x - 7) = -3x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 7, \"c\": -3}", "seed": "5048822458776771285", "semantic_fingerprint": "sha256:94db064f5da64d75fa65e568dfcdce4a35240d41ee864696bd2a43c070a3216e", "generator_version": "3.0"}
{"id": "v3_test_id_00006850", "prompt": "Find x: -8(x - 28) + 3 = x + 209", "solution_steps": ["Expand: -8x + 224 + 3 = x + 209", "Combine constants: -8x + 227 = x + 209", "Subtract x from both sides: -9x + 227 = 209", "Subtract 227 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 - 28) + 3 = x + 209", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=x+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 28, \"c\": 3, \"e\": 209, \"x\": 2}", "seed": "12216953870271206944", "semantic_fingerprint": "sha256:7898cb7b1b40808d771cbb3a022d7ccbb5a95144229dd40289fae3cb6e64f1ee", "generator_version": "3.0"}
{"id": "v3_test_id_00006851", "prompt": "Evaluate: 501 + (-96)", "solution_steps": ["Add: 501 + (-96) = 405"], "final_answer": "405", "answer_type": "integer", "kind": "expression", "math_text": "501 + (-96)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 501, \"b\": -96}", "seed": "17589992662271225815", "semantic_fingerprint": "sha256:abd88e19700ae9c00ff3bd39e09ffc82085bd6c3f0765dc5549d9ede6c546f2b", "generator_version": "3.0"}
{"id": "v3_test_id_00006852", "prompt": "Compute: -9 * 81 * 77 * (-2)", "solution_steps": ["Multiply: -9 * 81 = -729", "Multiply: -729 * 77 = -56133", "Multiply: -56133 * (-2) = 112266"], "final_answer": "112266", "answer_type": "integer", "kind": "expression", "math_text": "-9 * 81 * 77 * (-2)", "variable": null, "family": "expression_3op", "shape": "(* (* (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": 81, \"c\": 77, \"d\": -2}", "seed": "6017046040550309197", "semantic_fingerprint": "sha256:3341c27685da2e06385c5c444d3ce689da4e64f98a98731c34be08237e26c72e", "generator_version": "3.0"}
{"id": "v3_test_id_00006853", "prompt": "Find x: 3x + 1 = x + 25", "solution_steps": ["Subtract x from both sides: 2x + 1 = 25", "Subtract 1 from both sides: 2x = 24", "Divide both sides by 2: x = 12"], "final_answer": "12", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x + 1 = x + 25", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 1, \"d\": 25, \"x\": 12}", "seed": "6605734211369766177", "semantic_fingerprint": "sha256:9428983a51c8e60d9e14027c684dd88c056d524eb23ae55aecbd30ed5714eb54", "generator_version": "3.0"}
{"id": "v3_test_id_00006854", "prompt": "Evaluate: -58 * (-9 * (-1))", "solution_steps": ["Multiply: -9 * (-1) = 9", "Multiply: -58 * 9 = -522"], "final_answer": "-522", "answer_type": "integer", "kind": "expression", "math_text": "-58 * (-9 * (-1))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -58, \"b\": -9, \"c\": -1}", "seed": "12933144962455678707", "semantic_fingerprint": "sha256:6617fc70f8637f225e5dd94a3e0e0754db88fb589842c01fe3d49194c03d0db5", "generator_version": "3.0"}
{"id": "v3_test_id_00006855", "prompt": "Calculate: 73 * 1", "solution_steps": ["Multiply: 73 * 1 = 73"], "final_answer": "73", "answer_type": "integer", "kind": "expression", "math_text": "73 * 1", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 1}", "seed": "3678663438948355602", "semantic_fingerprint": "sha256:c1527bcea85c583e71079931aead593ac32bc26d8cf92abb6c52f2a13f286858", "generator_version": "3.0"}
{"id": "v3_test_id_00006856", "prompt": "Compute: (3 - (106 / 48 - (-6) * (-63))) * (-66)", "solution_steps": ["Divide: 106 / 48 = 53/24", "Multiply: -6 * (-63) = 378", "Subtract: 53/24 - 378 = -9019/24", "Subtract: 3 - (-9019/24) = 9091/24", "Multiply: (9091/24) * (-66) = -100001/4"], "final_answer": "-100001/4", "answer_type": "rational", "kind": "expression", "math_text": "(3 - (106 / 48 - (-6) * (-63))) * (-66)", "variable": null, "family": "expression_5op", "shape": "(* (- n (- (/ n n) (* n n))) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 106, \"c\": 48, \"d\": -6, \"e\": -63, \"f\": -66}", "seed": "9014701838054020690", "semantic_fingerprint": "sha256:051371b1b7a25a8f823c026713d77187bdcc33e9de0c87635d4f3faf77a83d8f", "generator_version": "3.0"}
{"id": "v3_test_id_00006857", "prompt": "What is 57 / (-42) / 70?", "solution_steps": ["Divide: 57 / (-42) = -19/14", "Divide: (-19/14) / 70 = -19/980"], "final_answer": "-19/980", "answer_type": "rational", "kind": "expression", "math_text": "57 / (-42) / 70", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": -42, \"c\": 70}", "seed": "17937098275669511894", "semantic_fingerprint": "sha256:0e378bc703fde5f4257d673c488ff1cdb8e1eb621851e0fa61c1a3a46545ba62", "generator_version": "3.0"}
{"id": "v3_test_id_00006858", "prompt": "What is 441 / ((956 - 6) / (-937))?", "solution_steps": ["Subtract: 956 - 6 = 950", "Divide: 950 / (-937) = -950/937", "Divide: 441 / (-950/937) = -413217/950"], "final_answer": "-413217/950", "answer_type": "rational", "kind": "expression", "math_text": "441 / ((956 - 6) / (-937))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 441, \"b\": 956, \"c\": 6, \"d\": -937}", "seed": "1964245493132178322", "semantic_fingerprint": "sha256:f78727e7989338e973d638f1c8a52622d1e35db3252f58ffab606e2d9d52e74d", "generator_version": "3.0"}
{"id": "v3_test_id_00006859", "prompt": "What value of x satisfies 8(x + 8) + 206 = -12(x + 6) + 242?", "solution_steps": ["Expand: 8x + 64 + 206 = -12(x + 6) + 242", "Expand: 8x + 64 + 206 = -12x - 72 + 242", "Combine constants: 8x + 270 = -12x - 72 + 242", "Combine constants: 8x + 270 = -12x + 170", "Add 12x to both sides: 20x + 270 = 170", "Subtract 270 from both sides: 20x = -100", "Divide both sides by 20: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 8) + 206 = -12(x + 6) + 242", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 8, \"c\": 206, \"d\": -12, \"e\": 6, \"g\": 242, \"x\": -5}", "seed": "16550155853727444193", "semantic_fingerprint": "sha256:8b240105a193cab14a7944a19b1124177f6b086f527dce6708ad1a2bd02734a1", "generator_version": "3.0"}
{"id": "v3_test_id_00006860", "prompt": "What is 499 - (-9) + (-40 + (-5))?", "solution_steps": ["Subtract: 499 - (-9) = 508", "Add: -40 + (-5) = -45", "Add: 508 + (-45) = 463"], "final_answer": "463", "answer_type": "integer", "kind": "expression", "math_text": "499 - (-9) + (-40 + (-5))", "variable": null, "family": "expression_3op", "shape": "(+ (- n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 499, \"b\": -9, \"c\": -40, \"d\": -5}", "seed": "15007679030661047755", "semantic_fingerprint": "sha256:9c2591f175ee2e1de5ceb6547b2a3a7fbe423c6f41dcb262ded987c422e86936", "generator_version": "3.0"}
{"id": "v3_test_id_00006861", "prompt": "Evaluate: 849 * (-902) + (-86)", "solution_steps": ["Multiply: 849 * (-902) = -765798", "Add: -765798 + (-86) = -765884"], "final_answer": "-765884", "answer_type": "integer", "kind": "expression", "math_text": "849 * (-902) + (-86)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 849, \"b\": -902, \"c\": -86}", "seed": "15716406953500469707", "semantic_fingerprint": "sha256:cd12cbab46e86dd16ae749b60f1650f7956157c0e2343fb2d3413cdf622213bf", "generator_version": "3.0"}
{"id": "v3_test_id_00006862", "prompt": "Solve the equation 2(x - 7) + 81 = 3(x - 874) + 430 for x.", "solution_steps": ["Expand: 2x - 14 + 81 = 3(x - 874) + 430", "Expand: 2x - 14 + 81 = 3x - 2622 + 430", "Combine constants: 2x + 67 = 3x - 2622 + 430", "Combine constants: 2x + 67 = 3x - 2192", "Subtract 3x from both sides: -x + 67 = -2192", "Subtract 67 from both sides: -x = -2259", "Divide both sides by -1: x = 2259"], "final_answer": "2259", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 7) + 81 = 3(x - 874) + 430", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 7, \"c\": 81, \"d\": 3, \"e\": 874, \"f\": 430}", "seed": "991057749323178072", "semantic_fingerprint": "sha256:4583f8eb71d87563bb1b7d5f4dc294a16b88c91e3142f238049aa978d00c55dd", "generator_version": "3.0"}
{"id": "v3_test_id_00006863", "prompt": "Calculate: 716 / (-14 + (-10))", "solution_steps": ["Add: -14 + (-10) = -24", "Divide: 716 / (-24) = -179/6"], "final_answer": "-179/6", "answer_type": "rational", "kind": "expression", "math_text": "716 / (-14 + (-10))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 716, \"b\": -14, \"c\": -10}", "seed": "12125987232163406202", "semantic_fingerprint": "sha256:7e1e043e478af0c662886cd699e4d04628120f57097c07370f82e2d3302dc775", "generator_version": "3.0"}
{"id": "v3_test_id_00006864", "prompt": "Compute: 14 * (528 / (-4 * (-57)))", "solution_steps": ["Multiply: -4 * (-57) = 228", "Divide: 528 / 228 = 44/19", "Multiply: 14 * (44/19) = 616/19"], "final_answer": "616/19", "answer_type": "rational", "kind": "expression", "math_text": "14 * (528 / (-4 * (-57)))", "variable": null, "family": "expression_3op", "shape": "(* n (/ n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 528, \"c\": -4, \"d\": -57}", "seed": "14143086698754267211", "semantic_fingerprint": "sha256:be3717dda06acfb3e0b474dae4e42e5579004b3b103203b844b282d302eefbb9", "generator_version": "3.0"}
{"id": "v3_test_id_00006865", "prompt": "What value of x satisfies x - 914 = -12x - 888?", "solution_steps": ["Add 12x to both sides: 13x - 914 = -888", "Add 914 to both sides: 13x = 26", "Divide both sides by 13: x = 2"], "final_answer": "2", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 914 = -12x - 888", "variable": "x", "family": "linear_equation", "shape": "x-c=kx-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 914, \"b\": -12, \"d\": -888, \"x\": 2}", "seed": "8989562868600621009", "semantic_fingerprint": "sha256:2706f1db197ae2b730baebcf4c7f604affb3bbb3144f5ef1783b647f651b2b5f", "generator_version": "3.0"}
{"id": "v3_test_id_00006866", "prompt": "What is 7 * (19 * (-4))?", "solution_steps": ["Multiply: 19 * (-4) = -76", "Multiply: 7 * (-76) = -532"], "final_answer": "-532", "answer_type": "integer", "kind": "expression", "math_text": "7 * (19 * (-4))", "variable": null, "family": "expression_2op", "shape": "(* n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 19, \"c\": -4}", "seed": "2102862586486086939", "semantic_fingerprint": "sha256:086a17c790399f94e0a9649d7f5fc9fe52f62c75be291ca676cce2673c2f16fe", "generator_version": "3.0"}
{"id": "v3_test_id_00006867", "prompt": "What is (88 / (-2) * (-241) + (-19)) / 33?", "solution_steps": ["Divide: 88 / (-2) = -44", "Multiply: -44 * (-241) = 10604", "Add: 10604 + (-19) = 10585", "Divide: 10585 / 33 = 10585/33"], "final_answer": "10585/33", "answer_type": "rational", "kind": "expression", "math_text": "(88 / (-2) * (-241) + (-19)) / 33", "variable": null, "family": "expression_4op", "shape": "(/ (+ (* (/ n n) n) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 88, \"b\": -2, \"c\": -241, \"d\": -19, \"e\": 33}", "seed": "7166170032484426831", "semantic_fingerprint": "sha256:7191c05c6be87728672deb71d9b4dff0aeea04dc867b7bbb89a0d4921dea922a", "generator_version": "3.0"}
{"id": "v3_test_id_00006868", "prompt": "Compute: 692 / 9", "solution_steps": ["Divide: 692 / 9 = 692/9"], "final_answer": "692/9", "answer_type": "rational", "kind": "expression", "math_text": "692 / 9", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 692, \"b\": 9}", "seed": "7591466150690530266", "semantic_fingerprint": "sha256:53a1abcb02f660c1306354ee31fd9432e37f31aa6c3be3731fe9921b87eb5a52", "generator_version": "3.0"}
{"id": "v3_test_id_00006869", "prompt": "Solve for x: 10x = x - 54", "solution_steps": ["Subtract x from both sides: 9x = -54", "Divide both sides by 9: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "10x = x - 54", "variable": "x", "family": "linear_equation", "shape": "kx=x-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 10, \"c\": -54, \"x\": -6}", "seed": "3564834928799469140", "semantic_fingerprint": "sha256:0f4da511d8e51313acdb3019a0ffd46fa48089f8f933543c06f6976ae14d4a53", "generator_version": "3.0"}
{"id": "v3_test_id_00006870", "prompt": "Compute: -146 * (7 / (-72))", "solution_steps": ["Divide: 7 / (-72) = -7/72", "Multiply: -146 * (-7/72) = 511/36"], "final_answer": "511/36", "answer_type": "rational", "kind": "expression", "math_text": "-146 * (7 / (-72))", "variable": null, "family": "expression_2op", "shape": "(* n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -146, \"b\": 7, \"c\": -72}", "seed": "10990399623751686629", "semantic_fingerprint": "sha256:952058ee93406a0646e67b15a159387b2091b35abff61b93529f175536dbae97", "generator_version": "3.0"}
{"id": "v3_test_id_00006871", "prompt": "Compute: -61 * (1 * (9 * 3))", "solution_steps": ["Multiply: 9 * 3 = 27", "Multiply: 1 * 27 = 27", "Multiply: -61 * 27 = -1647"], "final_answer": "-1647", "answer_type": "integer", "kind": "expression", "math_text": "-61 * (1 * (9 * 3))", "variable": null, "family": "expression_3op", "shape": "(* n (* n (* n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -61, \"b\": 1, \"c\": 9, \"d\": 3}", "seed": "1011306902258264146", "semantic_fingerprint": "sha256:6fb072fad8abfc62caedabbb9ff8fa1adaa37cd75a872a94d19132b13ee1f0a4", "generator_version": "3.0"}
{"id": "v3_test_id_00006872", "prompt": "Calculate: -69 / (-13 / 7)", "solution_steps": ["Divide: -13 / 7 = -13/7", "Divide: -69 / (-13/7) = 483/13"], "final_answer": "483/13", "answer_type": "rational", "kind": "expression", "math_text": "-69 / (-13 / 7)", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -69, \"b\": -13, \"c\": 7}", "seed": "17576282450290723267", "semantic_fingerprint": "sha256:66c7d46cc74457df566e31dc0607db5e1edaa5aae66afbea5e78dfa5239641c3", "generator_version": "3.0"}
{"id": "v3_test_id_00006873", "prompt": "Calculate: -41 - (1 - 0)", "solution_steps": ["Subtract: 1 - 0 = 1", "Subtract: -41 - 1 = -42"], "final_answer": "-42", "answer_type": "integer", "kind": "expression", "math_text": "-41 - (1 - 0)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -41, \"b\": 1, \"c\": 0}", "seed": "10391860909047609713", "semantic_fingerprint": "sha256:f4ec2a27c661b36114fab6b9cc0c03e0e3cc23a14b5e3bf775228ebc911a7e58", "generator_version": "3.0"}
{"id": "v3_test_id_00006874", "prompt": "What is 99 / (-2 + (-31 - 8 / (-6)))?", "solution_steps": ["Divide: 8 / (-6) = -4/3", "Subtract: -31 - (-4/3) = -89/3", "Add: -2 + (-89/3) = -95/3", "Divide: 99 / (-95/3) = -297/95"], "final_answer": "-297/95", "answer_type": "rational", "kind": "expression", "math_text": "99 / (-2 + (-31 - 8 / (-6)))", "variable": null, "family": "expression_4op", "shape": "(/ n (+ n (- n (/ n n))))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": -2, \"c\": -31, \"d\": 8, \"e\": -6}", "seed": "10731264619185066069", "semantic_fingerprint": "sha256:30b78dbd3a1fca9dd537bbf87f3d9cca7360bee48534fe38b10af60dccebd71e", "generator_version": "3.0"}
{"id": "v3_test_id_00006875", "prompt": "Calculate: -9 * ((-1 + (-50)) / 61 - 47)", "solution_steps": ["Add: -1 + (-50) = -51", "Divide: -51 / 61 = -51/61", "Subtract: -51/61 - 47 = -2918/61", "Multiply: -9 * (-2918/61) = 26262/61"], "final_answer": "26262/61", "answer_type": "rational", "kind": "expression", "math_text": "-9 * ((-1 + (-50)) / 61 - 47)", "variable": null, "family": "expression_4op", "shape": "(* n (- (/ (+ n n) n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -9, \"b\": -1, \"c\": -50, \"d\": 61, \"e\": 47}", "seed": "9828419463176997924", "semantic_fingerprint": "sha256:d7c8248497b7134ed982872f655c0bf1065d9ff651703eb77df00aaf31071512", "generator_version": "3.0"}
{"id": "v3_test_id_00006876", "prompt": "Calculate: -6 * (-835) - 482 + 293", "solution_steps": ["Multiply: -6 * (-835) = 5010", "Subtract: 5010 - 482 = 4528", "Add: 4528 + 293 = 4821"], "final_answer": "4821", "answer_type": "integer", "kind": "expression", "math_text": "-6 * (-835) - 482 + 293", "variable": null, "family": "expression_3op", "shape": "(+ (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -835, \"c\": 482, \"d\": 293}", "seed": "10025467598437522822", "semantic_fingerprint": "sha256:acfb717aef3dce75961967d3168028542c7fdfa18c2a87a88f2249918735213f", "generator_version": "3.0"}
{"id": "v3_test_id_00006877", "prompt": "What is 7 * (-5) / (-106 - (-42 - 0))?", "solution_steps": ["Multiply: 7 * (-5) = -35", "Subtract: -42 - 0 = -42", "Subtract: -106 - (-42) = -64", "Divide: -35 / (-64) = 35/64"], "final_answer": "35/64", "answer_type": "rational", "kind": "expression", "math_text": "7 * (-5) / (-106 - (-42 - 0))", "variable": null, "family": "expression_4op", "shape": "(/ (* n n) (- n (- n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": -5, \"c\": -106, \"d\": -42, \"e\": 0}", "seed": "6670397777943304150", "semantic_fingerprint": "sha256:043112e64f23fe2dcb2486413257921cd14cb851d9e4dfc09a6b97231d254a34", "generator_version": "3.0"}
{"id": "v3_test_id_00006878", "prompt": "What is -47 * (867 - 4 / 6 + 2)?", "solution_steps": ["Divide: 4 / 6 = 2/3", "Subtract: 867 - 2/3 = 2599/3", "Add: 2599/3 + 2 = 2605/3", "Multiply: -47 * (2605/3) = -122435/3"], "final_answer": "-122435/3", "answer_type": "rational", "kind": "expression", "math_text": "-47 * (867 - 4 / 6 + 2)", "variable": null, "family": "expression_4op", "shape": "(* n (+ (- n (/ n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -47, \"b\": 867, \"c\": 4, \"d\": 6, \"e\": 2}", "seed": "11936988065578792902", "semantic_fingerprint": "sha256:61df1f70efdea4c86b02bb8799e652ed1b847cec88fc4f95f218efc3f13c8ece", "generator_version": "3.0"}
{"id": "v3_test_id_00006879", "prompt": "What value of x satisfies 8(x + 3) - 44 = 3(x + 3) - 14?", "solution_steps": ["Expand: 8x + 24 - 44 = 3(x + 3) - 14", "Expand: 8x + 24 - 44 = 3x + 9 - 14", "Combine constants: 8x - 20 = 3x + 9 - 14", "Combine constants: 8x - 20 = 3x - 5", "Subtract 3x from both sides: 5x - 20 = -5", "Add 20 to both sides: 5x = 15", "Divide both sides by 5: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 3) - 44 = 3(x + 3) - 14", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 3, \"c\": 44, \"d\": 3, \"e\": 3, \"g\": -14, \"x\": 3}", "seed": "13696346477312631231", "semantic_fingerprint": "sha256:9ef658ed6fe1405676b966fecbd5c36362afe39d8cb20eb3787bda984e18d18c", "generator_version": "3.0"}
{"id": "v3_test_id_00006880", "prompt": "What is 238 * (-582)?", "solution_steps": ["Multiply: 238 * (-582) = -138516"], "final_answer": "-138516", "answer_type": "integer", "kind": "expression", "math_text": "238 * (-582)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 238, \"b\": -582}", "seed": "3917031459851139422", "semantic_fingerprint": "sha256:aa0e2e6b603b6716a4cf2d466f8a8e3f22713fe31ff22dadcc0ef08eac233195", "generator_version": "3.0"}
{"id": "v3_test_id_00006881", "prompt": "Find x: x + 4 = 5(x - 5) + 57", "solution_steps": ["Expand: x + 4 = 5x - 25 + 57", "Combine constants: x + 4 = 5x + 32", "Subtract 5x from both sides: -4x + 4 = 32", "Subtract 4 from both sides: -4x = 28", "Divide both sides by -4: x = -7"], "final_answer": "-7", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 4 = 5(x - 5) + 57", "variable": "x", "family": "linear_equation", "shape": "x+c=k(x-b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 5, \"c\": 5, \"e\": 57, \"x\": -7}", "seed": "21135573434160140", "semantic_fingerprint": "sha256:4d9a37c84b4ff0b9082eea8527d40efc388a385087a29143078960f476a08973", "generator_version": "3.0"}
{"id": "v3_test_id_00006882", "prompt": "Solve the equation 10(x + 8) - 21 = 11x for x.", "solution_steps": ["Expand: 10x + 80 - 21 = 11x", "Combine constants: 10x + 59 = 11x", "Subtract 11x from both sides: -x + 59 = 0", "Subtract 59 from both sides: -x = -59", "Divide both sides by -1: x = 59"], "final_answer": "59", "answer_type": "integer", "kind": "linear_equation", "math_text": "10(x + 8) - 21 = 11x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=kx", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 10, \"b\": 8, \"c\": 21, \"d\": 11}", "seed": "11587925231042959929", "semantic_fingerprint": "sha256:3cc44d9fc41eb21b5b93e3fbf9922a5381f7a5af5bac1f7fcd866a91b661478e", "generator_version": "3.0"}
{"id": "v3_test_id_00006883", "prompt": "Calculate: 9 * 4 / (-72)", "solution_steps": ["Multiply: 9 * 4 = 36", "Divide: 36 / (-72) = -1/2"], "final_answer": "-1/2", "answer_type": "rational", "kind": "expression", "math_text": "9 * 4 / (-72)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 4, \"c\": -72}", "seed": "15645878488616266903", "semantic_fingerprint": "sha256:0ea79b20b27068122424ce219f583a47b5286532bd5f3f870ab2d7d4c2748227", "generator_version": "3.0"}
{"id": "v3_test_id_00006884", "prompt": "Compute: (-2 + 20) / 748", "solution_steps": ["Add: -2 + 20 = 18", "Divide: 18 / 748 = 9/374"], "final_answer": "9/374", "answer_type": "rational", "kind": "expression", "math_text": "(-2 + 20) / 748", "variable": null, "family": "expression_2op", "shape": "(/ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -2, \"b\": 20, \"c\": 748}", "seed": "11385498729485757981", "semantic_fingerprint": "sha256:1df79abbd20ad7d1aa4cc98ff686a0e8175b1393849fb0b6f34295d8b40458b1", "generator_version": "3.0"}
{"id": "v3_test_id_00006885", "prompt": "What value of x satisfies 3(x - 742) - 74 = 4x - 634?", "solution_steps": ["Expand: 3x - 2226 - 74 = 4x - 634", "Combine constants: 3x - 2300 = 4x - 634", "Subtract 4x from both sides: -x - 2300 = -634", "Add 2300 to both sides: -x = 1666", "Divide both sides by -1: x = -1666"], "final_answer": "-1666", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x - 742) - 74 = 4x - 634", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 742, \"c\": 74, \"d\": 4, \"e\": 634}", "seed": "15986425145176916398", "semantic_fingerprint": "sha256:3cdc710b535de1c0ec77905aa664a4d1d4e70a0c6b4e412f7d4abf6ec0430c64", "generator_version": "3.0"}
{"id": "v3_test_id_00006886", "prompt": "Compute: -50 * 8", "solution_steps": ["Multiply: -50 * 8 = -400"], "final_answer": "-400", "answer_type": "integer", "kind": "expression", "math_text": "-50 * 8", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -50, \"b\": 8}", "seed": "2245295738803522396", "semantic_fingerprint": "sha256:abfb0a3b72c3364b546c80fdfd6b5e9efc63cdb48975398437cf33c8057d878d", "generator_version": "3.0"}
{"id": "v3_test_id_00006887", "prompt": "Evaluate: 17 / 7", "solution_steps": ["Divide: 17 / 7 = 17/7"], "final_answer": "17/7", "answer_type": "rational", "kind": "expression", "math_text": "17 / 7", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 17, \"b\": 7}", "seed": "10806110546476081667", "semantic_fingerprint": "sha256:40de406eb77f86dced1242438cd4c9312aaad74922eeacce3706f24e4ab2098c", "generator_version": "3.0"}
{"id": "v3_test_id_00006888", "prompt": "What is (-3 / 60 + 3) * (92 + (-5))?", "solution_steps": ["Divide: -3 / 60 = -1/20", "Add: -1/20 + 3 = 59/20", "Add: 92 + (-5) = 87", "Multiply: (59/20) * 87 = 5133/20"], "final_answer": "5133/20", "answer_type": "rational", "kind": "expression", "math_text": "(-3 / 60 + 3) * (92 + (-5))", "variable": null, "family": "expression_4op", "shape": "(* (+ (/ n n) n) (+ n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -3, \"b\": 60, \"c\": 3, \"d\": 92, \"e\": -5}", "seed": "3445795883614227521", "semantic_fingerprint": "sha256:38e88fa32e5a45ea9e272e49c919c638724c9157026cc81d9e0e0adec30b7add", "generator_version": "3.0"}
{"id": "v3_test_id_00006889", "prompt": "Calculate: (40 * 108 - 5) / (-83)", "solution_steps": ["Multiply: 40 * 108 = 4320", "Subtract: 4320 - 5 = 4315", "Divide: 4315 / (-83) = -4315/83"], "final_answer": "-4315/83", "answer_type": "rational", "kind": "expression", "math_text": "(40 * 108 - 5) / (-83)", "variable": null, "family": "expression_3op", "shape": "(/ (- (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": 108, \"c\": 5, \"d\": -83}", "seed": "9013235807409341086", "semantic_fingerprint": "sha256:71ce0cefbbece083b2999826da7668ec9436371e5ea09689d3d085ca8d2447e3", "generator_version": "3.0"}
{"id": "v3_test_id_00006890", "prompt": "Evaluate: -92 + (-15)", "solution_steps": ["Add: -92 + (-15) = -107"], "final_answer": "-107", "answer_type": "integer", "kind": "expression", "math_text": "-92 + (-15)", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -92, \"b\": -15}", "seed": "13191728054553745681", "semantic_fingerprint": "sha256:d15483ebe56baa6d306389f594f1b07e193bf620f5e80f56c8fbd32be0bbb855", "generator_version": "3.0"}
{"id": "v3_test_id_00006891", "prompt": "Calculate: (95 + (926 - (-10))) / 867", "solution_steps": ["Subtract: 926 - (-10) = 936", "Add: 95 + 936 = 1031", "Divide: 1031 / 867 = 1031/867"], "final_answer": "1031/867", "answer_type": "rational", "kind": "expression", "math_text": "(95 + (926 - (-10))) / 867", "variable": null, "family": "expression_3op", "shape": "(/ (+ n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": 926, \"c\": -10, \"d\": 867}", "seed": "14991381362149162293", "semantic_fingerprint": "sha256:c5ee52730b837a6299c0000a1459f79a59bcec4301a20b72be19e9b91b230b74", "generator_version": "3.0"}
{"id": "v3_test_id_00006892", "prompt": "Calculate: -701 / 8 * 79", "solution_steps": ["Divide: -701 / 8 = -701/8", "Multiply: (-701/8) * 79 = -55379/8"], "final_answer": "-55379/8", "answer_type": "rational", "kind": "expression", "math_text": "-701 / 8 * 79", "variable": null, "family": "expression_2op", "shape": "(* (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -701, \"b\": 8, \"c\": 79}", "seed": "7175312125601037480", "semantic_fingerprint": "sha256:d4def0127cf15f0d99ba0060cfefb95be4be6f5159847c7b7513bdff5e931beb", "generator_version": "3.0"}
{"id": "v3_test_id_00006893", "prompt": "Solve the equation 4(x - 22) = -3x for x.", "solution_steps": ["Expand: 4x - 88 = -3x", "Add 3x to both sides: 7x - 88 = 0", "Add 88 to both sides: 7x = 88", "Divide both sides by 7: x = 88/7"], "final_answer": "88/7", "answer_type": "rational", "kind": "linear_equation", "math_text": "4(x - 22) = -3x", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 22, \"c\": -3}", "seed": "8203127545274709001", "semantic_fingerprint": "sha256:bc80cc10be1a7c87c0c6cc78c5b4921a35b17815fde53afcb878d76e6b464e24", "generator_version": "3.0"}
{"id": "v3_test_id_00006894", "prompt": "Compute: -11 / 758 + (88 + 33)", "solution_steps": ["Divide: -11 / 758 = -11/758", "Add: 88 + 33 = 121", "Add: -11/758 + 121 = 91707/758"], "final_answer": "91707/758", "answer_type": "rational", "kind": "expression", "math_text": "-11 / 758 + (88 + 33)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -11, \"b\": 758, \"c\": 88, \"d\": 33}", "seed": "1851449100432587859", "semantic_fingerprint": "sha256:3d3bce659fe2db21b8369f13e6f17665cd9848b0a9603c8a5c0965e6c2aa31a8", "generator_version": "3.0"}
{"id": "v3_test_id_00006895", "prompt": "What is (-260 + 0 + (2 + 19)) / (-74 / (-979))?", "solution_steps": ["Add: -260 + 0 = -260", "Add: 2 + 19 = 21", "Add: -260 + 21 = -239", "Divide: -74 / (-979) = 74/979", "Divide: -239 / (74/979) = -233981/74"], "final_answer": "-233981/74", "answer_type": "rational", "kind": "expression", "math_text": "(-260 + 0 + (2 + 19)) / (-74 / (-979))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (+ n n) (+ n n)) (/ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -260, \"b\": 0, \"c\": 2, \"d\": 19, \"e\": -74, \"f\": -979}", "seed": "13996217049265704867", "semantic_fingerprint": "sha256:3950fecd01513e8abf328d9db7e832405d64561395bf6ab36c5d113bea14ee9d", "generator_version": "3.0"}
{"id": "v3_test_id_00006896", "prompt": "What is 53 / (-939) - (35 - (-82))?", "solution_steps": ["Divide: 53 / (-939) = -53/939", "Subtract: 35 - (-82) = 117", "Subtract: -53/939 - 117 = -109916/939"], "final_answer": "-109916/939", "answer_type": "rational", "kind": "expression", "math_text": "53 / (-939) - (35 - (-82))", "variable": null, "family": "expression_3op", "shape": "(- (/ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 53, \"b\": -939, \"c\": 35, \"d\": -82}", "seed": "10455900519387054980", "semantic_fingerprint": "sha256:1fec540da1832660739d03df2e90868205bdd183864289216c846733067fcbdd", "generator_version": "3.0"}
{"id": "v3_test_id_00006897", "prompt": "Calculate: 587 + 9 + 9", "solution_steps": ["Add: 587 + 9 = 596", "Add: 596 + 9 = 605"], "final_answer": "605", "answer_type": "integer", "kind": "expression", "math_text": "587 + 9 + 9", "variable": null, "family": "expression_2op", "shape": "(+ (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 587, \"b\": 9, \"c\": 9}", "seed": "14920732879427753395", "semantic_fingerprint": "sha256:d8c85f2856c28db637713847c6aaa8d12221c2b53c1301487aff244d88b84abd", "generator_version": "3.0"}
{"id": "v3_test_id_00006898", "prompt": "Compute: 20 * 87 - 85", "solution_steps": ["Multiply: 20 * 87 = 1740", "Subtract: 1740 - 85 = 1655"], "final_answer": "1655", "answer_type": "integer", "kind": "expression", "math_text": "20 * 87 - 85", "variable": null, "family": "expression_2op", "shape": "(- (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 20, \"b\": 87, \"c\": 85}", "seed": "1787060379131919036", "semantic_fingerprint": "sha256:878bb2f07ccf13b93d5766144dc8843ed5f84613358ee3a7b013f71648b5026c", "generator_version": "3.0"}
{"id": "v3_test_id_00006899", "prompt": "Solve the equation 12(x + 61) - 592 = 4(x + 19) for x.", "solution_steps": ["Expand: 12x + 732 - 592 = 4(x + 19)", "Expand: 12x + 732 - 592 = 4x + 76", "Combine constants: 12x + 140 = 4x + 76", "Subtract 4x from both sides: 8x + 140 = 76", "Subtract 140 from both sides: 8x = -64", "Divide both sides by 8: x = -8"], "final_answer": "-8", "answer_type": "integer", "kind": "linear_equation", "math_text": "12(x + 61) - 592 = 4(x + 19)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 61, \"c\": 4, \"d\": 19, \"f\": -592, \"x\": -8}", "seed": "8435383537459438702", "semantic_fingerprint": "sha256:beb0973c624edb9b1f1eaabd2f2a80f8c7a87476d9c7385080a7de3d0b6884c9", "generator_version": "3.0"}
{"id": "v3_test_id_00006900", "prompt": "Calculate: 99 / 34 + (-57 + 781)", "solution_steps": ["Divide: 99 / 34 = 99/34", "Add: -57 + 781 = 724", "Add: 99/34 + 724 = 24715/34"], "final_answer": "24715/34", "answer_type": "rational", "kind": "expression", "math_text": "99 / 34 + (-57 + 781)", "variable": null, "family": "expression_3op", "shape": "(+ (/ n n) (+ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": 34, \"c\": -57, \"d\": 781}", "seed": "6936545399464709993", "semantic_fingerprint": "sha256:1cba918ba4bdecf1c21db13209b13f6fd74a04fd6bc9397c33f0273d79ce63c7", "generator_version": "3.0"}
{"id": "v3_test_id_00006901", "prompt": "Find x: 8(x + 614) = 5x", "solution_steps": ["Expand: 8x + 4912 = 5x", "Subtract 5x from both sides: 3x + 4912 = 0", "Subtract 4912 from both sides: 3x = -4912", "Divide both sides by 3: x = -4912/3"], "final_answer": "-4912/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "8(x + 614) = 5x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 614, \"c\": 5}", "seed": "17782561706262103496", "semantic_fingerprint": "sha256:b14ca663386d0d56b95f1d95ffada4e36210e8cce049b2792ce996121af6c5d7", "generator_version": "3.0"}
{"id": "v3_test_id_00006902", "prompt": "Calculate: (9 + (-181 - (-47)) - 4) / 6", "solution_steps": ["Subtract: -181 - (-47) = -134", "Add: 9 + (-134) = -125", "Subtract: -125 - 4 = -129", "Divide: -129 / 6 = -43/2"], "final_answer": "-43/2", "answer_type": "rational", "kind": "expression", "math_text": "(9 + (-181 - (-47)) - 4) / 6", "variable": null, "family": "expression_4op", "shape": "(/ (- (+ n (- n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": -181, \"c\": -47, \"d\": 4, \"e\": 6}", "seed": "7733222639682974277", "semantic_fingerprint": "sha256:949413362b637e741bd2067f5d3b367ad73ae6e51fa2bb783eb55c89bb12365c", "generator_version": "3.0"}
{"id": "v3_test_id_00006903", "prompt": "Solve the equation 8(x + 50) + 839 = x for x.", "solution_steps": ["Expand: 8x + 400 + 839 = x", "Combine constants: 8x + 1239 = x", "Subtract x from both sides: 7x + 1239 = 0", "Subtract 1239 from both sides: 7x = -1239", "Divide both sides by 7: x = -177"], "final_answer": "-177", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x + 50) + 839 = x", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=x", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 50, \"c\": 839}", "seed": "6509547925271109166", "semantic_fingerprint": "sha256:3aff4ff6ea03286c989fa45bdc8caa05ca07ce88c3e770ce085434b3f781493c", "generator_version": "3.0"}
{"id": "v3_test_id_00006904", "prompt": "Solve for x: x - 74 = 0", "solution_steps": ["Add 74 to both sides: x = 74"], "final_answer": "74", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 74 = 0", "variable": "x", "family": "linear_equation", "shape": "x-c=c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": 0}", "seed": "10450750542441549709", "semantic_fingerprint": "sha256:765d1448b9eb8832186b117db76d571b0385d96ea53547eb58093fc6c3c5f221", "generator_version": "3.0"}
{"id": "v3_test_id_00006905", "prompt": "Evaluate: 643 / (0 / 2 + 310)", "solution_steps": ["Divide: 0 / 2 = 0", "Add: 0 + 310 = 310", "Divide: 643 / 310 = 643/310"], "final_answer": "643/310", "answer_type": "rational", "kind": "expression", "math_text": "643 / (0 / 2 + 310)", "variable": null, "family": "expression_3op", "shape": "(/ n (+ (/ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 643, \"b\": 0, \"c\": 2, \"d\": 310}", "seed": "10572639067030508553", "semantic_fingerprint": "sha256:1f0e238196bb66223bfc46fa1d4bbc19d2faf83aad9c8a191c0975417e600e54", "generator_version": "3.0"}
{"id": "v3_test_id_00006906", "prompt": "What is -5 * 95?", "solution_steps": ["Multiply: -5 * 95 = -475"], "final_answer": "-475", "answer_type": "integer", "kind": "expression", "math_text": "-5 * 95", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 95}", "seed": "10129922144886990628", "semantic_fingerprint": "sha256:7f18410ca211a5cfcec2e907d19a23c5260cdb3fe83acc74df99de99437b4142", "generator_version": "3.0"}
{"id": "v3_test_id_00006907", "prompt": "Calculate: 95 * (-9) / (-81)", "solution_steps": ["Multiply: 95 * (-9) = -855", "Divide: -855 / (-81) = 95/9"], "final_answer": "95/9", "answer_type": "rational", "kind": "expression", "math_text": "95 * (-9) / (-81)", "variable": null, "family": "expression_2op", "shape": "(/ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 95, \"b\": -9, \"c\": -81}", "seed": "14660485924447922183", "semantic_fingerprint": "sha256:758229ae20ba290b9ed6b22f04da4b9079c3b75fc63f7a6fe3f910cb84059cf9", "generator_version": "3.0"}
{"id": "v3_test_id_00006908", "prompt": "What is 8 - 35 + 95?", "solution_steps": ["Subtract: 8 - 35 = -27", "Add: -27 + 95 = 68"], "final_answer": "68", "answer_type": "integer", "kind": "expression", "math_text": "8 - 35 + 95", "variable": null, "family": "expression_2op", "shape": "(+ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 35, \"c\": 95}", "seed": "13211722278943012750", "semantic_fingerprint": "sha256:a564647879f38171ebfeea2bb9e37e04058416bea8bfe4b63e1b39e915dabedf", "generator_version": "3.0"}
{"id": "v3_test_id_00006909", "prompt": "What is -6 / (-44)?", "solution_steps": ["Divide: -6 / (-44) = 3/22"], "final_answer": "3/22", "answer_type": "rational", "kind": "expression", "math_text": "-6 / (-44)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -44}", "seed": "137712442869082681", "semantic_fingerprint": "sha256:9b39d961451fa7326608f024539e046a2c046ec47b531f249ccb75479e98ae74", "generator_version": "3.0"}
{"id": "v3_test_id_00006910", "prompt": "Find x: -4x + 210 = x + 135", "solution_steps": ["Subtract x from both sides: -5x + 210 = 135", "Subtract 210 from both sides: -5x = -75", "Divide both sides by -5: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-4x + 210 = x + 135", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 210, \"d\": 135, \"x\": 15}", "seed": "11992455367173457573", "semantic_fingerprint": "sha256:affe14b90c0f51270098b6ac83d3b9eff6600cf3930495e89ae88af382c70502", "generator_version": "3.0"}
{"id": "v3_test_id_00006911", "prompt": "Compute: 97 + 9 - (5 * 506 - (-3) * (-652))", "solution_steps": ["Add: 97 + 9 = 106", "Multiply: 5 * 506 = 2530", "Multiply: -3 * (-652) = 1956", "Subtract: 2530 - 1956 = 574", "Subtract: 106 - 574 = -468"], "final_answer": "-468", "answer_type": "integer", "kind": "expression", "math_text": "97 + 9 - (5 * 506 - (-3) * (-652))", "variable": null, "family": "expression_5op", "shape": "(- (+ n n) (- (* n n) (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 97, \"b\": 9, \"c\": 5, \"d\": 506, \"e\": -3, \"f\": -652}", "seed": "4057362929767220752", "semantic_fingerprint": "sha256:1b79926816b02042ebc22ef92106e2543e1fc1a78569bfb217970a6a460a2df8", "generator_version": "3.0"}
{"id": "v3_test_id_00006912", "prompt": "Calculate: 56 * 591 + 3 + (-8 - (-33 + (-87)))", "solution_steps": ["Multiply: 56 * 591 = 33096", "Add: 33096 + 3 = 33099", "Add: -33 + (-87) = -120", "Subtract: -8 - (-120) = 112", "Add: 33099 + 112 = 33211"], "final_answer": "33211", "answer_type": "integer", "kind": "expression", "math_text": "56 * 591 + 3 + (-8 - (-33 + (-87)))", "variable": null, "family": "expression_5op", "shape": "(+ (+ (* n n) n) (- n (+ n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 56, \"b\": 591, \"c\": 3, \"d\": -8, \"e\": -33, \"f\": -87}", "seed": "3884589212820239279", "semantic_fingerprint": "sha256:5e31e2dda8070eba57021e6590c0eb95db125764a1f08e9a7d7ad8dbee7e7614", "generator_version": "3.0"}
{"id": "v3_test_id_00006913", "prompt": "What is -950 * 59 * (274 / (-959) / (-8))?", "solution_steps": ["Multiply: -950 * 59 = -56050", "Divide: 274 / (-959) = -2/7", "Divide: (-2/7) / (-8) = 1/28", "Multiply: -56050 * (1/28) = -28025/14"], "final_answer": "-28025/14", "answer_type": "rational", "kind": "expression", "math_text": "-950 * 59 * (274 / (-959) / (-8))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (/ (/ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -950, \"b\": 59, \"c\": 274, \"d\": -959, \"e\": -8}", "seed": "3391831700419968379", "semantic_fingerprint": "sha256:527293bc4c2bda7aedc13828602d9e140fe6d170d8a254dd674cb47ddeba1f68", "generator_version": "3.0"}
{"id": "v3_test_id_00006914", "prompt": "Solve for x: x + 67 = -9x + 147", "solution_steps": ["Add 9x to both sides: 10x + 67 = 147", "Subtract 67 from both sides: 10x = 80", "Divide both sides by 10: x = 8"], "final_answer": "8", "answer_type": "integer", "kind": "linear_equation", "math_text": "x + 67 = -9x + 147", "variable": "x", "family": "linear_equation", "shape": "x+c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 67, \"b\": -9, \"d\": 147, \"x\": 8}", "seed": "18266243645798650371", "semantic_fingerprint": "sha256:1d37afa7dcdc3bd40d214d0b552b7fe1220faa9446920dae26437f833a3e7d22", "generator_version": "3.0"}
{"id": "v3_test_id_00006915", "prompt": "What value of x satisfies -5(x + 1) = x + 43?", "solution_steps": ["Expand: -5x - 5 = x + 43", "Subtract x from both sides: -6x - 5 = 43", "Add 5 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 + 1) = x + 43", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 1, \"d\": 43, \"x\": -8}", "seed": "7031520391452800901", "semantic_fingerprint": "sha256:4d536fabf023f03465b35e78cf3e614629534809030326b0cba11d7bf254f45d", "generator_version": "3.0"}
{"id": "v3_test_id_00006916", "prompt": "Evaluate: 386 / (85 / (-20))", "solution_steps": ["Divide: 85 / (-20) = -17/4", "Divide: 386 / (-17/4) = -1544/17"], "final_answer": "-1544/17", "answer_type": "rational", "kind": "expression", "math_text": "386 / (85 / (-20))", "variable": null, "family": "expression_2op", "shape": "(/ n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 386, \"b\": 85, \"c\": -20}", "seed": "2871832698953560187", "semantic_fingerprint": "sha256:aae5e55e31634e17d374f1cefc9e683068745f477e91f0f9d4c658948de6c564", "generator_version": "3.0"}
{"id": "v3_test_id_00006917", "prompt": "Evaluate: (9 - 323 + (-4 - (-2))) / 7", "solution_steps": ["Subtract: 9 - 323 = -314", "Subtract: -4 - (-2) = -2", "Add: -314 + (-2) = -316", "Divide: -316 / 7 = -316/7"], "final_answer": "-316/7", "answer_type": "rational", "kind": "expression", "math_text": "(9 - 323 + (-4 - (-2))) / 7", "variable": null, "family": "expression_4op", "shape": "(/ (+ (- n n) (- n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 323, \"c\": -4, \"d\": -2, \"e\": 7}", "seed": "7633634435103190948", "semantic_fingerprint": "sha256:10f750ea23cb3364c542cac8bf57b2e98f38dfea7329d5eef5a340ba374fbec5", "generator_version": "3.0"}
{"id": "v3_test_id_00006918", "prompt": "What is 0 - (-935 / (545 - (-49 - 50)) - (-376))?", "solution_steps": ["Subtract: -49 - 50 = -99", "Subtract: 545 - (-99) = 644", "Divide: -935 / 644 = -935/644", "Subtract: -935/644 - (-376) = 241209/644", "Subtract: 0 - 241209/644 = -241209/644"], "final_answer": "-241209/644", "answer_type": "rational", "kind": "expression", "math_text": "0 - (-935 / (545 - (-49 - 50)) - (-376))", "variable": null, "family": "expression_5op", "shape": "(- n (- (/ n (- n (- n n))) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -935, \"c\": 545, \"d\": -49, \"e\": 50, \"f\": -376}", "seed": "17309637175415824232", "semantic_fingerprint": "sha256:2ce8df011d2be91694e91968758300eedd3e9d4562a30745f6d70d9a4637f409", "generator_version": "3.0"}
{"id": "v3_test_id_00006919", "prompt": "Compute: 23 / (-4 / (98 / (-3)))", "solution_steps": ["Divide: 98 / (-3) = -98/3", "Divide: -4 / (-98/3) = 6/49", "Divide: 23 / (6/49) = 1127/6"], "final_answer": "1127/6", "answer_type": "rational", "kind": "expression", "math_text": "23 / (-4 / (98 / (-3)))", "variable": null, "family": "expression_3op", "shape": "(/ n (/ n (/ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 23, \"b\": -4, \"c\": 98, \"d\": -3}", "seed": "2387660278038194671", "semantic_fingerprint": "sha256:a03044e2d226ef64fdc599ed4a62a3dc0e89105ce0836d05c942ace88180adde", "generator_version": "3.0"}
{"id": "v3_test_id_00006920", "prompt": "Solve for x: 6x + 57 = x + 102", "solution_steps": ["Subtract x from both sides: 5x + 57 = 102", "Subtract 57 from both sides: 5x = 45", "Divide both sides by 5: x = 9"], "final_answer": "9", "answer_type": "integer", "kind": "linear_equation", "math_text": "6x + 57 = x + 102", "variable": "x", "family": "linear_equation", "shape": "kx+c=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 57, \"d\": 102, \"x\": 9}", "seed": "6198656753250346082", "semantic_fingerprint": "sha256:7d1f867048ba4f14810d4f83b1a9cd8962fcf44307ae85fec23fa3343926de09", "generator_version": "3.0"}
{"id": "v3_test_id_00006921", "prompt": "Calculate: 834 * (-50 / (78 * (-59))) - 79", "solution_steps": ["Multiply: 78 * (-59) = -4602", "Divide: -50 / (-4602) = 25/2301", "Multiply: 834 * (25/2301) = 6950/767", "Subtract: 6950/767 - 79 = -53643/767"], "final_answer": "-53643/767", "answer_type": "rational", "kind": "expression", "math_text": "834 * (-50 / (78 * (-59))) - 79", "variable": null, "family": "expression_4op", "shape": "(- (* n (/ n (* n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 834, \"b\": -50, \"c\": 78, \"d\": -59, \"e\": 79}", "seed": "12212708038321406021", "semantic_fingerprint": "sha256:d5883462f4541696bde359d950ddad97ced0168a58a3364aac6aa38fdc78fd11", "generator_version": "3.0"}
{"id": "v3_test_id_00006922", "prompt": "Solve for x: 5x + 18 = 2(x - 9)", "solution_steps": ["Expand: 5x + 18 = 2x - 18", "Subtract 2x from both sides: 3x + 18 = -18", "Subtract 18 from both sides: 3x = -36", "Divide both sides by 3: x = -12"], "final_answer": "-12", "answer_type": "integer", "kind": "linear_equation", "math_text": "5x + 18 = 2(x - 9)", "variable": "x", "family": "linear_equation", "shape": "kx+c=k(x-b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 2, \"c\": 9, \"e\": 18, \"x\": -12}", "seed": "14633608827141888924", "semantic_fingerprint": "sha256:b754eadda34f3d55ec0cad985b46a22326fbcb881ed06e1e7705560e347f31fc", "generator_version": "3.0"}
{"id": "v3_test_id_00006923", "prompt": "Calculate: -537 + (-57) * 33 * (-96)", "solution_steps": ["Multiply: -57 * 33 = -1881", "Multiply: -1881 * (-96) = 180576", "Add: -537 + 180576 = 180039"], "final_answer": "180039", "answer_type": "integer", "kind": "expression", "math_text": "-537 + (-57) * 33 * (-96)", "variable": null, "family": "expression_3op", "shape": "(+ n (* (* n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -537, \"b\": -57, \"c\": 33, \"d\": -96}", "seed": "9346831926843912120", "semantic_fingerprint": "sha256:5d170d3c782dd5531799d5962887f2e120012f650d7d58d03119e5e9672ee76f", "generator_version": "3.0"}
{"id": "v3_test_id_00006924", "prompt": "Evaluate: 822 + (-84) * (64 / (-64)) - (-19)", "solution_steps": ["Divide: 64 / (-64) = -1", "Multiply: -84 * (-1) = 84", "Add: 822 + 84 = 906", "Subtract: 906 - (-19) = 925"], "final_answer": "925", "answer_type": "integer", "kind": "expression", "math_text": "822 + (-84) * (64 / (-64)) - (-19)", "variable": null, "family": "expression_4op", "shape": "(- (+ n (* n (/ n n))) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 822, \"b\": -84, \"c\": 64, \"d\": -64, \"e\": -19}", "seed": "10643459982039990657", "semantic_fingerprint": "sha256:feb764bdbe361190d9f9bef8fad64631785e9da37d50779e75a4004de67385cd", "generator_version": "3.0"}
{"id": "v3_test_id_00006925", "prompt": "What value of x satisfies 3x - 70 = 8x?", "solution_steps": ["Subtract 8x from both sides: -5x - 70 = 0", "Add 70 to both sides: -5x = 70", "Divide both sides by -5: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "3x - 70 = 8x", "variable": "x", "family": "linear_equation", "shape": "kx-c=kx", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 8, \"d\": -70, \"x\": -14}", "seed": "4722012106485986501", "semantic_fingerprint": "sha256:d708c4388ee0ffbe9d279455401f07d9865740ee6bca3fdea8fc1394285fa178", "generator_version": "3.0"}
{"id": "v3_test_id_00006926", "prompt": "Find x: 6(x + 2) - 9 = 11(x - 45) + 413", "solution_steps": ["Expand: 6x + 12 - 9 = 11(x - 45) + 413", "Expand: 6x + 12 - 9 = 11x - 495 + 413", "Combine constants: 6x + 3 = 11x - 495 + 413", "Combine constants: 6x + 3 = 11x - 82", "Subtract 11x from both sides: -5x + 3 = -82", "Subtract 3 from both sides: -5x = -85", "Divide both sides by -5: x = 17"], "final_answer": "17", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 2) - 9 = 11(x - 45) + 413", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 2, \"c\": 9, \"d\": 11, \"e\": 45, \"g\": 413, \"x\": 17}", "seed": "6575749038534629837", "semantic_fingerprint": "sha256:ff3c0deaa6f90720db382d5e6015dbd8cbf25f9983ce4393fee3393b39f76ade", "generator_version": "3.0"}
{"id": "v3_test_id_00006927", "prompt": "Solve for x: 11x - 28 = -5(x - 6) + 86", "solution_steps": ["Expand: 11x - 28 = -5x + 30 + 86", "Combine constants: 11x - 28 = -5x + 116", "Add 5x to both sides: 16x - 28 = 116", "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": "11x - 28 = -5(x - 6) + 86", "variable": "x", "family": "linear_equation", "shape": "kx-c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 28, \"c\": -5, \"d\": 6, \"f\": 86, \"x\": 9}", "seed": "4420203717262683380", "semantic_fingerprint": "sha256:06412a7246ee888165d48eeae2cade34727fbb817ffafc3870e99e9cd7b649e8", "generator_version": "3.0"}
{"id": "v3_test_id_00006928", "prompt": "Calculate: -721 + (46 + (-3))", "solution_steps": ["Add: 46 + (-3) = 43", "Add: -721 + 43 = -678"], "final_answer": "-678", "answer_type": "integer", "kind": "expression", "math_text": "-721 + (46 + (-3))", "variable": null, "family": "expression_2op", "shape": "(+ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -721, \"b\": 46, \"c\": -3}", "seed": "3110338391883582843", "semantic_fingerprint": "sha256:e38a1b40367356916662dd540b597e7c365129901b3601b9caa2dcf03b805341", "generator_version": "3.0"}
{"id": "v3_test_id_00006929", "prompt": "Compute: -4 / 21", "solution_steps": ["Divide: -4 / 21 = -4/21"], "final_answer": "-4/21", "answer_type": "rational", "kind": "expression", "math_text": "-4 / 21", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -4, \"b\": 21}", "seed": "6549791364491440379", "semantic_fingerprint": "sha256:ce92b8e4a78addb2b584d6816be07b95433b0642461c47f10be806efc1fba2a4", "generator_version": "3.0"}
{"id": "v3_test_id_00006930", "prompt": "Calculate: 54 * (-5)", "solution_steps": ["Multiply: 54 * (-5) = -270"], "final_answer": "-270", "answer_type": "integer", "kind": "expression", "math_text": "54 * (-5)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 54, \"b\": -5}", "seed": "3067362405332530102", "semantic_fingerprint": "sha256:189740e46c06967bfee0938f4e90b28dcd3dbee768e6851f458db6c61204993b", "generator_version": "3.0"}
{"id": "v3_test_id_00006931", "prompt": "Find x: -10(x - 35) + 61 = 2(x - 2) + 235", "solution_steps": ["Expand: -10x + 350 + 61 = 2(x - 2) + 235", "Expand: -10x + 350 + 61 = 2x - 4 + 235", "Combine constants: -10x + 411 = 2x - 4 + 235", "Combine constants: -10x + 411 = 2x + 231", "Subtract 2x from both sides: -12x + 411 = 231", "Subtract 411 from both sides: -12x = -180", "Divide both sides by -12: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "-10(x - 35) + 61 = 2(x - 2) + 235", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=k(x-b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -10, \"b\": 35, \"c\": 61, \"d\": 2, \"e\": 2, \"g\": 235, \"x\": 15}", "seed": "7988303543982580955", "semantic_fingerprint": "sha256:49fd91b76cf91046fd8df8be34e263588dd1557b4a1313abf27afb47c0a760b8", "generator_version": "3.0"}
{"id": "v3_test_id_00006932", "prompt": "Solve for x: 4(x + 49) = x + 145", "solution_steps": ["Expand: 4x + 196 = x + 145", "Subtract x from both sides: 3x + 196 = 145", "Subtract 196 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 + 49) = x + 145", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 49, \"d\": 145, \"x\": -17}", "seed": "7626396667914076850", "semantic_fingerprint": "sha256:7396d1aeacafc0df477c8bb8afef6ef00b961bb7339e2a1c203220026da7166c", "generator_version": "3.0"}
{"id": "v3_test_id_00006933", "prompt": "What value of x satisfies x - 39 = -3(x + 321) + 984?", "solution_steps": ["Expand: x - 39 = -3x - 963 + 984", "Combine constants: x - 39 = -3x + 21", "Add 3x to both sides: 4x - 39 = 21", "Add 39 to both sides: 4x = 60", "Divide both sides by 4: x = 15"], "final_answer": "15", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 39 = -3(x + 321) + 984", "variable": "x", "family": "linear_equation", "shape": "x-c=k(x+b)+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 39, \"b\": -3, \"c\": 321, \"e\": 984, \"x\": 15}", "seed": "343187795171591448", "semantic_fingerprint": "sha256:7f19bf6f96b234e97456d83da32ea30b59ccc1f7f7a031e54df7a159aa54e8f4", "generator_version": "3.0"}
{"id": "v3_test_id_00006934", "prompt": "Compute: 789 * 74 / (-828 / 68)", "solution_steps": ["Multiply: 789 * 74 = 58386", "Divide: -828 / 68 = -207/17", "Divide: 58386 / (-207/17) = -330854/69"], "final_answer": "-330854/69", "answer_type": "rational", "kind": "expression", "math_text": "789 * 74 / (-828 / 68)", "variable": null, "family": "expression_3op", "shape": "(/ (* n n) (/ n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 789, \"b\": 74, \"c\": -828, \"d\": 68}", "seed": "565873580237561184", "semantic_fingerprint": "sha256:0ee8a3b1d6614bb4659b1c72dd355bbad8923d409b085d8f0c0712e3ef495adb", "generator_version": "3.0"}
{"id": "v3_test_id_00006935", "prompt": "What is 611 * (-16) * (69 - 24)?", "solution_steps": ["Multiply: 611 * (-16) = -9776", "Subtract: 69 - 24 = 45", "Multiply: -9776 * 45 = -439920"], "final_answer": "-439920", "answer_type": "integer", "kind": "expression", "math_text": "611 * (-16) * (69 - 24)", "variable": null, "family": "expression_3op", "shape": "(* (* n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 611, \"b\": -16, \"c\": 69, \"d\": 24}", "seed": "6374298345692813288", "semantic_fingerprint": "sha256:2374f492d020a0cf3c67f0b8c1f421fa93ac72e536da6730503787a4a220370c", "generator_version": "3.0"}
{"id": "v3_test_id_00006936", "prompt": "What is (614 - 9 + 43) * (-4) + 0 * (-5)?", "solution_steps": ["Subtract: 614 - 9 = 605", "Add: 605 + 43 = 648", "Multiply: 648 * (-4) = -2592", "Multiply: 0 * (-5) = 0", "Add: -2592 + 0 = -2592"], "final_answer": "-2592", "answer_type": "integer", "kind": "expression", "math_text": "(614 - 9 + 43) * (-4) + 0 * (-5)", "variable": null, "family": "expression_5op", "shape": "(+ (* (+ (- n n) n) n) (* n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 614, \"b\": 9, \"c\": 43, \"d\": -4, \"e\": 0, \"f\": -5}", "seed": "12883030635695759262", "semantic_fingerprint": "sha256:b0bd4d8feb8768427f3cf660735a8af028a0800bac24b27df27f607f278227cb", "generator_version": "3.0"}
{"id": "v3_test_id_00006937", "prompt": "What value of x satisfies x - 15 = 6x?", "solution_steps": ["Subtract 6x from both sides: -5x - 15 = 0", "Add 15 to both sides: -5x = 15", "Divide both sides by -5: x = -3"], "final_answer": "-3", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 15 = 6x", "variable": "x", "family": "linear_equation", "shape": "x-c=kx", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"c\": -15, \"x\": -3}", "seed": "14814708159018352611", "semantic_fingerprint": "sha256:42515a07e6e357e53706f1c9a3ef6d09dbbdc2a7104137ed2737067b68c83d94", "generator_version": "3.0"}
{"id": "v3_test_id_00006938", "prompt": "Compute: -1 / (7 / (-454)) / (-959)", "solution_steps": ["Divide: 7 / (-454) = -7/454", "Divide: -1 / (-7/454) = 454/7", "Divide: (454/7) / (-959) = -454/6713"], "final_answer": "-454/6713", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (7 / (-454)) / (-959)", "variable": null, "family": "expression_3op", "shape": "(/ (/ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": 7, \"c\": -454, \"d\": -959}", "seed": "11427439373405846577", "semantic_fingerprint": "sha256:e596fe9eb940f337d81462dbd127449f81aa383d6066712f12345f652f8a93b5", "generator_version": "3.0"}
{"id": "v3_test_id_00006939", "prompt": "Calculate: -37 / (-57)", "solution_steps": ["Divide: -37 / (-57) = 37/57"], "final_answer": "37/57", "answer_type": "rational", "kind": "expression", "math_text": "-37 / (-57)", "variable": null, "family": "expression_1op", "shape": "(/ n n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -37, \"b\": -57}", "seed": "7298302608134568331", "semantic_fingerprint": "sha256:1f9272ecb656a5356d0657f4a54ff58c8fd2ca3ab95365e493fcd75405347e5a", "generator_version": "3.0"}
{"id": "v3_test_id_00006940", "prompt": "What is -8 - (67 - 16 + 9)?", "solution_steps": ["Subtract: 67 - 16 = 51", "Add: 51 + 9 = 60", "Subtract: -8 - 60 = -68"], "final_answer": "-68", "answer_type": "integer", "kind": "expression", "math_text": "-8 - (67 - 16 + 9)", "variable": null, "family": "expression_3op", "shape": "(- n (+ (- n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": 67, \"c\": 16, \"d\": 9}", "seed": "15552749862574658631", "semantic_fingerprint": "sha256:cb8c2214dc6aa2deb60d3beb33f87085917953ee37d2038dbd54a6456c52ecc4", "generator_version": "3.0"}
{"id": "v3_test_id_00006941", "prompt": "Evaluate: 2 / (71 - (-286)) * (-285 * 49)", "solution_steps": ["Subtract: 71 - (-286) = 357", "Divide: 2 / 357 = 2/357", "Multiply: -285 * 49 = -13965", "Multiply: (2/357) * (-13965) = -1330/17"], "final_answer": "-1330/17", "answer_type": "rational", "kind": "expression", "math_text": "2 / (71 - (-286)) * (-285 * 49)", "variable": null, "family": "expression_4op", "shape": "(* (/ n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 71, \"c\": -286, \"d\": -285, \"e\": 49}", "seed": "8516865319245206142", "semantic_fingerprint": "sha256:1ee594604dc516c36b01b598d261f76456c0efcd7041b18abf8de4a8c3f1ad92", "generator_version": "3.0"}
{"id": "v3_test_id_00006942", "prompt": "Solve for x: 11(x - 9) - 88 = 5x - 2", "solution_steps": ["Expand: 11x - 99 - 88 = 5x - 2", "Combine constants: 11x - 187 = 5x - 2", "Subtract 5x from both sides: 6x - 187 = -2", "Add 187 to both sides: 6x = 185", "Divide both sides by 6: x = 185/6"], "final_answer": "185/6", "answer_type": "rational", "kind": "linear_equation", "math_text": "11(x - 9) - 88 = 5x - 2", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=kx-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": 9, \"c\": 88, \"d\": 5, \"e\": 2}", "seed": "7181484273407092007", "semantic_fingerprint": "sha256:1dd64cd8718bed15fd6040418644ebf6cc9e8d3e02c813b2a88fbb86bf7dc63a", "generator_version": "3.0"}
{"id": "v3_test_id_00006943", "prompt": "What is 79 * (-6)?", "solution_steps": ["Multiply: 79 * (-6) = -474"], "final_answer": "-474", "answer_type": "integer", "kind": "expression", "math_text": "79 * (-6)", "variable": null, "family": "expression_1op", "shape": "(* n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": 79, \"b\": -6}", "seed": "14164569342090884136", "semantic_fingerprint": "sha256:27faba47fa6e32c9ae4bbd1e615dac86f3142d0d625ef71a4a2503f2b70d9d1c", "generator_version": "3.0"}
{"id": "v3_test_id_00006944", "prompt": "What value of x satisfies x = 8(x + 1) + 20?", "solution_steps": ["Expand: x = 8x + 8 + 20", "Combine constants: x = 8x + 28", "Subtract 8x from both sides: -7x = 28", "Divide both sides by -7: x = -4"], "final_answer": "-4", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = 8(x + 1) + 20", "variable": "x", "family": "linear_equation", "shape": "x=k(x+b)+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 1, \"d\": 20, \"x\": -4}", "seed": "8637251566645516351", "semantic_fingerprint": "sha256:0cb477f438b32ec22cdfffd6f08f496da0468412d4dd9a0e991b96c90e8a4395", "generator_version": "3.0"}
{"id": "v3_test_id_00006945", "prompt": "Evaluate: 73 * 8 + (-6 * 4 - (-35))", "solution_steps": ["Multiply: 73 * 8 = 584", "Multiply: -6 * 4 = -24", "Subtract: -24 - (-35) = 11", "Add: 584 + 11 = 595"], "final_answer": "595", "answer_type": "integer", "kind": "expression", "math_text": "73 * 8 + (-6 * 4 - (-35))", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (- (* n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 73, \"b\": 8, \"c\": -6, \"d\": 4, \"e\": -35}", "seed": "2491844443229094573", "semantic_fingerprint": "sha256:44a7db5cceec0c5113eb6fce3a93b9de3f23ce7615c1385b20f05a80f34fc08a", "generator_version": "3.0"}
{"id": "v3_test_id_00006946", "prompt": "Evaluate: 8 + (-67) - 0", "solution_steps": ["Add: 8 + (-67) = -59", "Subtract: -59 - 0 = -59"], "final_answer": "-59", "answer_type": "integer", "kind": "expression", "math_text": "8 + (-67) - 0", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": -67, \"c\": 0}", "seed": "1622375024036719714", "semantic_fingerprint": "sha256:7936d2453c083e80e40a6883ed039cd82d7f662e3042c5b3e9ab191a2ad45d57", "generator_version": "3.0"}
{"id": "v3_test_id_00006947", "prompt": "What is -7 + (-44) * (-8) - (64 + (-1 - (-789)))?", "solution_steps": ["Multiply: -44 * (-8) = 352", "Add: -7 + 352 = 345", "Subtract: -1 - (-789) = 788", "Add: 64 + 788 = 852", "Subtract: 345 - 852 = -507"], "final_answer": "-507", "answer_type": "integer", "kind": "expression", "math_text": "-7 + (-44) * (-8) - (64 + (-1 - (-789)))", "variable": null, "family": "expression_5op", "shape": "(- (+ n (* n n)) (+ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -7, \"b\": -44, \"c\": -8, \"d\": 64, \"e\": -1, \"f\": -789}", "seed": "12003657758277958691", "semantic_fingerprint": "sha256:6b51bcc3a484d88f10bdc3c91998373239d2e49bb62d900c19426d0b8280785e", "generator_version": "3.0"}
{"id": "v3_test_id_00006948", "prompt": "Evaluate: -81 * (-60 - (-34 - (-290)) + (-48))", "solution_steps": ["Subtract: -34 - (-290) = 256", "Subtract: -60 - 256 = -316", "Add: -316 + (-48) = -364", "Multiply: -81 * (-364) = 29484"], "final_answer": "29484", "answer_type": "integer", "kind": "expression", "math_text": "-81 * (-60 - (-34 - (-290)) + (-48))", "variable": null, "family": "expression_4op", "shape": "(* n (+ (- n (- n n)) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -81, \"b\": -60, \"c\": -34, \"d\": -290, \"e\": -48}", "seed": "7497380803873804722", "semantic_fingerprint": "sha256:31c7fff21155a4b325411181aec23f6cd316826ee3fc0186e99be9d5777f34ac", "generator_version": "3.0"}
{"id": "v3_test_id_00006949", "prompt": "Calculate: 0 / (-4 + (-11))", "solution_steps": ["Add: -4 + (-11) = -15", "Divide: 0 / (-15) = 0"], "final_answer": "0", "answer_type": "integer", "kind": "expression", "math_text": "0 / (-4 + (-11))", "variable": null, "family": "expression_2op", "shape": "(/ n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": -4, \"c\": -11}", "seed": "4826210734169708807", "semantic_fingerprint": "sha256:e5a4a49bd192db5a4c767ebe0683c3bb219fde23824f40a536f42da4dbdf090a", "generator_version": "3.0"}
{"id": "v3_test_id_00006950", "prompt": "What value of x satisfies 11x = -5(x - 7) - 211?", "solution_steps": ["Expand: 11x = -5x + 35 - 211", "Combine constants: 11x = -5x - 176", "Add 5x to both sides: 16x = -176", "Divide both sides by 16: x = -11"], "final_answer": "-11", "answer_type": "integer", "kind": "linear_equation", "math_text": "11x = -5(x - 7) - 211", "variable": "x", "family": "linear_equation", "shape": "kx=k(x-b)-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 11, \"b\": -5, \"c\": 7, \"e\": -211, \"x\": -11}", "seed": "9790070202311589348", "semantic_fingerprint": "sha256:e46b7377f0af32472f55d3874acc9d83712c90ce401fd9b50393dd07b4fd8f13", "generator_version": "3.0"}
{"id": "v3_test_id_00006951", "prompt": "Calculate: (551 - (-69 - (-2))) / (72 * (-527))", "solution_steps": ["Subtract: -69 - (-2) = -67", "Subtract: 551 - (-67) = 618", "Multiply: 72 * (-527) = -37944", "Divide: 618 / (-37944) = -103/6324"], "final_answer": "-103/6324", "answer_type": "rational", "kind": "expression", "math_text": "(551 - (-69 - (-2))) / (72 * (-527))", "variable": null, "family": "expression_4op", "shape": "(/ (- n (- n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 551, \"b\": -69, \"c\": -2, \"d\": 72, \"e\": -527}", "seed": "1268375626928143008", "semantic_fingerprint": "sha256:5c92654af48d11b28407e7012a7ffb562091023c9af8c11a2c0c12155402e822", "generator_version": "3.0"}
{"id": "v3_test_id_00006952", "prompt": "Calculate: -8 / (-8 / (-200)) - (-53 + (76 - 384))", "solution_steps": ["Divide: -8 / (-200) = 1/25", "Divide: -8 / (1/25) = -200", "Subtract: 76 - 384 = -308", "Add: -53 + (-308) = -361", "Subtract: -200 - (-361) = 161"], "final_answer": "161", "answer_type": "integer", "kind": "expression", "math_text": "-8 / (-8 / (-200)) - (-53 + (76 - 384))", "variable": null, "family": "expression_5op", "shape": "(- (/ n (/ n n)) (+ n (- n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -8, \"b\": -8, \"c\": -200, \"d\": -53, \"e\": 76, \"f\": 384}", "seed": "9732795309692652131", "semantic_fingerprint": "sha256:9b0395d7470b00cba6f7bcdd496dc58c27a1ecfa6eda9646f7173814e7d58851", "generator_version": "3.0"}
{"id": "v3_test_id_00006953", "prompt": "Solve the equation x = -5x - 108 for x.", "solution_steps": ["Add 5x to both sides: 6x = -108", "Divide both sides by 6: x = -18"], "final_answer": "-18", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -5x - 108", "variable": "x", "family": "linear_equation", "shape": "x=kx-c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -5, \"c\": -108, \"x\": -18}", "seed": "11520366065692885570", "semantic_fingerprint": "sha256:ff5a56a2dbe497277647da7191332f049e5cc74010ca67928d4b4372d5a6cff2", "generator_version": "3.0"}
{"id": "v3_test_id_00006954", "prompt": "Solve the equation x = -5(x - 4) - 498 for x.", "solution_steps": ["Expand: x = -5x + 20 - 498", "Combine constants: x = -5x - 478", "Add 5x to both sides: 6x = -478", "Divide both sides by 6: x = -239/3"], "final_answer": "-239/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "x = -5(x - 4) - 498", "variable": "x", "family": "linear_equation", "shape": "x=k(x-b)-c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 4, \"c\": 498}", "seed": "16981464404158704738", "semantic_fingerprint": "sha256:9e99efa8602c69112b50cff9c5511b9ca41634b5a62e877fd04b34cace39c1cb", "generator_version": "3.0"}
{"id": "v3_test_id_00006955", "prompt": "Calculate: 74 / 7 / (-5)", "solution_steps": ["Divide: 74 / 7 = 74/7", "Divide: (74/7) / (-5) = -74/35"], "final_answer": "-74/35", "answer_type": "rational", "kind": "expression", "math_text": "74 / 7 / (-5)", "variable": null, "family": "expression_2op", "shape": "(/ (/ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 74, \"b\": 7, \"c\": -5}", "seed": "14492641899573051487", "semantic_fingerprint": "sha256:c1d7a50fc92b5136bcb344cdd70be5ec067745612662ed5fde4df5d41988639d", "generator_version": "3.0"}
{"id": "v3_test_id_00006956", "prompt": "Solve for x: 3(x + 7) = x + 21", "solution_steps": ["Expand: 3x + 21 = x + 21", "Subtract x from both sides: 2x + 21 = 21", "Subtract 21 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 + 7) = x + 21", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=x+c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 7, \"d\": 21, \"x\": 0}", "seed": "9655910351587597618", "semantic_fingerprint": "sha256:89f871a7da3286f3ff213639a1b43c84c2969474709ac6bd88b25282e57d763d", "generator_version": "3.0"}
{"id": "v3_test_id_00006957", "prompt": "Find x: 2(x + 341) + 275 = 12(x - 8)", "solution_steps": ["Expand: 2x + 682 + 275 = 12(x - 8)", "Expand: 2x + 682 + 275 = 12x - 96", "Combine constants: 2x + 957 = 12x - 96", "Subtract 12x from both sides: -10x + 957 = -96", "Subtract 957 from both sides: -10x = -1053", "Divide both sides by -10: x = 1053/10"], "final_answer": "1053/10", "answer_type": "rational", "kind": "linear_equation", "math_text": "2(x + 341) + 275 = 12(x - 8)", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x-b)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 341, \"c\": 275, \"d\": 12, \"e\": 8}", "seed": "14754348107445327341", "semantic_fingerprint": "sha256:6756ab77373c6430a27d98d5c7465955420fd9b661e192a01774ec59418d64c7", "generator_version": "3.0"}
{"id": "v3_test_id_00006958", "prompt": "Compute: -96 + (7 + 119 + (-19))", "solution_steps": ["Add: 7 + 119 = 126", "Add: 126 + (-19) = 107", "Add: -96 + 107 = 11"], "final_answer": "11", "answer_type": "integer", "kind": "expression", "math_text": "-96 + (7 + 119 + (-19))", "variable": null, "family": "expression_3op", "shape": "(+ n (+ (+ n n) n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -96, \"b\": 7, \"c\": 119, \"d\": -19}", "seed": "7817848449740744063", "semantic_fingerprint": "sha256:5278907b14397bb9687aec2c899e0141432812c1771522cf6cf28164ea247a9f", "generator_version": "3.0"}
{"id": "v3_test_id_00006959", "prompt": "Calculate: (21 - (-37)) / (-443)", "solution_steps": ["Subtract: 21 - (-37) = 58", "Divide: 58 / (-443) = -58/443"], "final_answer": "-58/443", "answer_type": "rational", "kind": "expression", "math_text": "(21 - (-37)) / (-443)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 21, \"b\": -37, \"c\": -443}", "seed": "2540725391910840114", "semantic_fingerprint": "sha256:f410148ac0f5bd710fa7a1dfe81c94b7b42c0db8f64840fc82164fd14fce716b", "generator_version": "3.0"}
{"id": "v3_test_id_00006960", "prompt": "Calculate: (1 * 0 + (51 + (-16))) * 74", "solution_steps": ["Multiply: 1 * 0 = 0", "Add: 51 + (-16) = 35", "Add: 0 + 35 = 35", "Multiply: 35 * 74 = 2590"], "final_answer": "2590", "answer_type": "integer", "kind": "expression", "math_text": "(1 * 0 + (51 + (-16))) * 74", "variable": null, "family": "expression_4op", "shape": "(* (+ (* n n) (+ n n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 1, \"b\": 0, \"c\": 51, \"d\": -16, \"e\": 74}", "seed": "11831390620390364037", "semantic_fingerprint": "sha256:ea144477c39549477465600969301212064b1480360a446310b3330160ccf968", "generator_version": "3.0"}
{"id": "v3_test_id_00006961", "prompt": "Calculate: 4 * 961 + (-9 + 2) * 3", "solution_steps": ["Multiply: 4 * 961 = 3844", "Add: -9 + 2 = -7", "Multiply: -7 * 3 = -21", "Add: 3844 + (-21) = 3823"], "final_answer": "3823", "answer_type": "integer", "kind": "expression", "math_text": "4 * 961 + (-9 + 2) * 3", "variable": null, "family": "expression_4op", "shape": "(+ (* n n) (* (+ n n) n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 961, \"c\": -9, \"d\": 2, \"e\": 3}", "seed": "8922862882330595123", "semantic_fingerprint": "sha256:97a7b7d9bbec09fac051540013cdfbed3097c9daa88a92a2a2965bd8a670ee8a", "generator_version": "3.0"}
{"id": "v3_test_id_00006962", "prompt": "Calculate: 112 + (-65) / (-433) + 272", "solution_steps": ["Divide: -65 / (-433) = 65/433", "Add: 112 + 65/433 = 48561/433", "Add: 48561/433 + 272 = 166337/433"], "final_answer": "166337/433", "answer_type": "rational", "kind": "expression", "math_text": "112 + (-65) / (-433) + 272", "variable": null, "family": "expression_3op", "shape": "(+ (+ n (/ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 112, \"b\": -65, \"c\": -433, \"d\": 272}", "seed": "4511611944846666976", "semantic_fingerprint": "sha256:88dd1b520deba7c17bac97887094a7871e9ffab712bb49ab50d3ddc6515021d0", "generator_version": "3.0"}
{"id": "v3_test_id_00006963", "prompt": "What is 0 - (297 - 316)?", "solution_steps": ["Subtract: 297 - 316 = -19", "Subtract: 0 - (-19) = 19"], "final_answer": "19", "answer_type": "integer", "kind": "expression", "math_text": "0 - (297 - 316)", "variable": null, "family": "expression_2op", "shape": "(- n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 297, \"c\": 316}", "seed": "6394560179146065709", "semantic_fingerprint": "sha256:51391e7595b9fb0c4a536e48fd5c26109ee001897d495bdf737e67ac60a30f0c", "generator_version": "3.0"}
{"id": "v3_test_id_00006964", "prompt": "Find x: -5(x - 340) = 4(x + 273)", "solution_steps": ["Expand: -5x + 1700 = 4(x + 273)", "Expand: -5x + 1700 = 4x + 1092", "Subtract 4x from both sides: -9x + 1700 = 1092", "Subtract 1700 from both sides: -9x = -608", "Divide both sides by -9: x = 608/9"], "final_answer": "608/9", "answer_type": "rational", "kind": "linear_equation", "math_text": "-5(x - 340) = 4(x + 273)", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -5, \"b\": 340, \"c\": 4, \"d\": 273}", "seed": "16359724689839821737", "semantic_fingerprint": "sha256:efd9314e59566cc12c1fa819cb26219d59956dca66118461c333d6e230e0f2d7", "generator_version": "3.0"}
{"id": "v3_test_id_00006965", "prompt": "Calculate: 195 - 0 / 53", "solution_steps": ["Divide: 0 / 53 = 0", "Subtract: 195 - 0 = 195"], "final_answer": "195", "answer_type": "integer", "kind": "expression", "math_text": "195 - 0 / 53", "variable": null, "family": "expression_2op", "shape": "(- n (/ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 195, \"b\": 0, \"c\": 53}", "seed": "9391610453419775451", "semantic_fingerprint": "sha256:488830f6f48defb860c4194779ffb81b267467a31e4fb405f01362f2a8ad9c54", "generator_version": "3.0"}
{"id": "v3_test_id_00006966", "prompt": "What is (6 - 64) / (-575)?", "solution_steps": ["Subtract: 6 - 64 = -58", "Divide: -58 / (-575) = 58/575"], "final_answer": "58/575", "answer_type": "rational", "kind": "expression", "math_text": "(6 - 64) / (-575)", "variable": null, "family": "expression_2op", "shape": "(/ (- n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 64, \"c\": -575}", "seed": "15985556583418071982", "semantic_fingerprint": "sha256:804ff0ea44e1c598c8b9c7a37ce7537c5b1b652bf6d1426d479465ffae6adb75", "generator_version": "3.0"}
{"id": "v3_test_id_00006967", "prompt": "Compute: (7 + (4 - 305 + 6)) * 7", "solution_steps": ["Subtract: 4 - 305 = -301", "Add: -301 + 6 = -295", "Add: 7 + (-295) = -288", "Multiply: -288 * 7 = -2016"], "final_answer": "-2016", "answer_type": "integer", "kind": "expression", "math_text": "(7 + (4 - 305 + 6)) * 7", "variable": null, "family": "expression_4op", "shape": "(* (+ n (+ (- n n) n)) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 7, \"b\": 4, \"c\": 305, \"d\": 6, \"e\": 7}", "seed": "4400364970950574334", "semantic_fingerprint": "sha256:e3823011787440a323b9ba3f6c6ca95a05fe32200a328ccf033c9559d0697815", "generator_version": "3.0"}
{"id": "v3_test_id_00006968", "prompt": "Solve for x: x = -7x + 8", "solution_steps": ["Add 7x to both sides: 8x = 8", "Divide both sides by 8: x = 1"], "final_answer": "1", "answer_type": "integer", "kind": "linear_equation", "math_text": "x = -7x + 8", "variable": "x", "family": "linear_equation", "shape": "x=kx+c", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -7, \"c\": 8, \"x\": 1}", "seed": "10210105226396944334", "semantic_fingerprint": "sha256:8bdd271e8c5ebbab8545a0a8a9a89e99a2a10a40249fb9c89543906a5d92a6d9", "generator_version": "3.0"}
{"id": "v3_test_id_00006969", "prompt": "Calculate: -73 / (-83) / (-77) + (0 - 64 - (-69))", "solution_steps": ["Divide: -73 / (-83) = 73/83", "Divide: (73/83) / (-77) = -73/6391", "Subtract: 0 - 64 = -64", "Subtract: -64 - (-69) = 5", "Add: -73/6391 + 5 = 31882/6391"], "final_answer": "31882/6391", "answer_type": "rational", "kind": "expression", "math_text": "-73 / (-83) / (-77) + (0 - 64 - (-69))", "variable": null, "family": "expression_5op", "shape": "(+ (/ (/ n n) n) (- (- n n) n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -73, \"b\": -83, \"c\": -77, \"d\": 0, \"e\": 64, \"f\": -69}", "seed": "15840832518938687081", "semantic_fingerprint": "sha256:e62dffc3005b29e64187b8cf237591ebfc32889532578bf50e72bad2efec2d9c", "generator_version": "3.0"}
{"id": "v3_test_id_00006970", "prompt": "Evaluate: -316 + 3", "solution_steps": ["Add: -316 + 3 = -313"], "final_answer": "-313", "answer_type": "integer", "kind": "expression", "math_text": "-316 + 3", "variable": null, "family": "expression_1op", "shape": "(+ n n)", "difficulty": 1, "number_range": "in_distribution", "params": "{\"a\": -316, \"b\": 3}", "seed": "3843942913125377222", "semantic_fingerprint": "sha256:74041172295304784d5be636b94a20179a9075c7f6f6edf4925182bfd186ee86", "generator_version": "3.0"}
{"id": "v3_test_id_00006971", "prompt": "Solve the equation 6(x + 3) = 5(x + 24) - 99 for x.", "solution_steps": ["Expand: 6x + 18 = 5(x + 24) - 99", "Expand: 6x + 18 = 5x + 120 - 99", "Combine constants: 6x + 18 = 5x + 21", "Subtract 5x from both sides: x + 18 = 21", "Subtract 18 from both sides: x = 3"], "final_answer": "3", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x + 3) = 5(x + 24) - 99", "variable": "x", "family": "linear_equation", "shape": "k(x+b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 5, \"d\": 24, \"f\": -99, \"x\": 3}", "seed": "195229598162639646", "semantic_fingerprint": "sha256:594aeeabea0a517d4b4ee56d0022862f26d938957878ec05ac91bc6564acbd93", "generator_version": "3.0"}
{"id": "v3_test_id_00006972", "prompt": "What is -33 + (-250) + 778 - 922?", "solution_steps": ["Add: -33 + (-250) = -283", "Add: -283 + 778 = 495", "Subtract: 495 - 922 = -427"], "final_answer": "-427", "answer_type": "integer", "kind": "expression", "math_text": "-33 + (-250) + 778 - 922", "variable": null, "family": "expression_3op", "shape": "(- (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -33, \"b\": -250, \"c\": 778, \"d\": 922}", "seed": "9187793790328135962", "semantic_fingerprint": "sha256:ba8358cb7738289e317d5aa7a93c1da676081503e78ee87130bada5048b1c049", "generator_version": "3.0"}
{"id": "v3_test_id_00006973", "prompt": "Solve the equation 9(x - 32) - 4 = 12(x + 18) - 490 for x.", "solution_steps": ["Expand: 9x - 288 - 4 = 12(x + 18) - 490", "Expand: 9x - 288 - 4 = 12x + 216 - 490", "Combine constants: 9x - 292 = 12x + 216 - 490", "Combine constants: 9x - 292 = 12x - 274", "Subtract 12x from both sides: -3x - 292 = -274", "Add 292 to both sides: -3x = 18", "Divide both sides by -3: x = -6"], "final_answer": "-6", "answer_type": "integer", "kind": "linear_equation", "math_text": "9(x - 32) - 4 = 12(x + 18) - 490", "variable": "x", "family": "linear_equation", "shape": "k(x-b)-c=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 32, \"c\": 4, \"d\": 12, \"e\": 18, \"g\": -490, \"x\": -6}", "seed": "8624468201152120195", "semantic_fingerprint": "sha256:cc0c96d57db10a037f2d8c1be97c9cc8209e127d00177f2e35d310f4a13cf028", "generator_version": "3.0"}
{"id": "v3_test_id_00006974", "prompt": "Solve for x: 8x - 938 = x - 973", "solution_steps": ["Subtract x from both sides: 7x - 938 = -973", "Add 938 to both sides: 7x = -35", "Divide both sides by 7: x = -5"], "final_answer": "-5", "answer_type": "integer", "kind": "linear_equation", "math_text": "8x - 938 = x - 973", "variable": "x", "family": "linear_equation", "shape": "kx-c=x-c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 938, \"d\": -973, \"x\": -5}", "seed": "2054640020588150109", "semantic_fingerprint": "sha256:4b0162d5c73c8a7a86dd8e00f0cddb0eb83715e2bbbc4da7154ea5d18a8fa493", "generator_version": "3.0"}
{"id": "v3_test_id_00006975", "prompt": "What is 0 + 258 - (-7)?", "solution_steps": ["Add: 0 + 258 = 258", "Subtract: 258 - (-7) = 265"], "final_answer": "265", "answer_type": "integer", "kind": "expression", "math_text": "0 + 258 - (-7)", "variable": null, "family": "expression_2op", "shape": "(- (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 0, \"b\": 258, \"c\": -7}", "seed": "1879184871908284254", "semantic_fingerprint": "sha256:5ed8335b048fee5b5a2c853a7069acc47a2b6c9dc1d6b84c0ea3e43d98796646", "generator_version": "3.0"}
{"id": "v3_test_id_00006976", "prompt": "Calculate: (9 / 7 + (-56)) / (18 / (-269 * 9))", "solution_steps": ["Divide: 9 / 7 = 9/7", "Add: 9/7 + (-56) = -383/7", "Multiply: -269 * 9 = -2421", "Divide: 18 / (-2421) = -2/269", "Divide: (-383/7) / (-2/269) = 103027/14"], "final_answer": "103027/14", "answer_type": "rational", "kind": "expression", "math_text": "(9 / 7 + (-56)) / (18 / (-269 * 9))", "variable": null, "family": "expression_5op", "shape": "(/ (+ (/ n n) n) (/ n (* n n)))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 9, \"b\": 7, \"c\": -56, \"d\": 18, \"e\": -269, \"f\": 9}", "seed": "4598887002555426230", "semantic_fingerprint": "sha256:479d5b02ee5d77141543ef6990874d7562d7016258b2436292f8010fb9d2304b", "generator_version": "3.0"}
{"id": "v3_test_id_00006977", "prompt": "Compute: 936 * 18 * (-29) + (-291)", "solution_steps": ["Multiply: 936 * 18 = 16848", "Multiply: 16848 * (-29) = -488592", "Add: -488592 + (-291) = -488883"], "final_answer": "-488883", "answer_type": "integer", "kind": "expression", "math_text": "936 * 18 * (-29) + (-291)", "variable": null, "family": "expression_3op", "shape": "(+ (* (* n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 936, \"b\": 18, \"c\": -29, \"d\": -291}", "seed": "11875594745328596600", "semantic_fingerprint": "sha256:deec505112ce42d3e1ebf326f223025787eb9f354c29636ab9ba56fb67856def", "generator_version": "3.0"}
{"id": "v3_test_id_00006978", "prompt": "What is 83 / (75 - (3 + 2))?", "solution_steps": ["Add: 3 + 2 = 5", "Subtract: 75 - 5 = 70", "Divide: 83 / 70 = 83/70"], "final_answer": "83/70", "answer_type": "rational", "kind": "expression", "math_text": "83 / (75 - (3 + 2))", "variable": null, "family": "expression_3op", "shape": "(/ n (- n (+ n n)))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 83, \"b\": 75, \"c\": 3, \"d\": 2}", "seed": "8757422224334720447", "semantic_fingerprint": "sha256:bf74189701fe838c5452bd6a79a38f21affdae6db8329908dc308ac656d94dc0", "generator_version": "3.0"}
{"id": "v3_test_id_00006979", "prompt": "Evaluate: (5 + 1) * (-97)", "solution_steps": ["Add: 5 + 1 = 6", "Multiply: 6 * (-97) = -582"], "final_answer": "-582", "answer_type": "integer", "kind": "expression", "math_text": "(5 + 1) * (-97)", "variable": null, "family": "expression_2op", "shape": "(* (+ n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 5, \"b\": 1, \"c\": -97}", "seed": "4316181133387085368", "semantic_fingerprint": "sha256:b4ea2c34bb15ae4689f80e29c9947564ecd0c46289e1a619fdd48833fd53bde6", "generator_version": "3.0"}
{"id": "v3_test_id_00006980", "prompt": "What is 972 - (-23 + 5)?", "solution_steps": ["Add: -23 + 5 = -18", "Subtract: 972 - (-18) = 990"], "final_answer": "990", "answer_type": "integer", "kind": "expression", "math_text": "972 - (-23 + 5)", "variable": null, "family": "expression_2op", "shape": "(- n (+ n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 972, \"b\": -23, \"c\": 5}", "seed": "6009083794333894857", "semantic_fingerprint": "sha256:65bc8604d00edf8cf1aff85d9d4293027c80d85bcf6092c2b0e8da44d99a1863", "generator_version": "3.0"}
{"id": "v3_test_id_00006981", "prompt": "Solve the equation x - 14 = 5x + 42 for x.", "solution_steps": ["Subtract 5x from both sides: -4x - 14 = 42", "Add 14 to both sides: -4x = 56", "Divide both sides by -4: x = -14"], "final_answer": "-14", "answer_type": "integer", "kind": "linear_equation", "math_text": "x - 14 = 5x + 42", "variable": "x", "family": "linear_equation", "shape": "x-c=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 14, \"b\": 5, \"d\": 42, \"x\": -14}", "seed": "13607637018918925402", "semantic_fingerprint": "sha256:19faa980d2692245e5865df90f7dc68e8d652bddc557f6ea8a097b52aed9cfc2", "generator_version": "3.0"}
{"id": "v3_test_id_00006982", "prompt": "What is 15 * (-792 / 36) + (-665) * (-7)?", "solution_steps": ["Divide: -792 / 36 = -22", "Multiply: 15 * (-22) = -330", "Multiply: -665 * (-7) = 4655", "Add: -330 + 4655 = 4325"], "final_answer": "4325", "answer_type": "integer", "kind": "expression", "math_text": "15 * (-792 / 36) + (-665) * (-7)", "variable": null, "family": "expression_4op", "shape": "(+ (* n (/ n n)) (* n n))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 15, \"b\": -792, \"c\": 36, \"d\": -665, \"e\": -7}", "seed": "14977587400500672405", "semantic_fingerprint": "sha256:bd88342ac8cfc9cfe03f53707f064b17e5b6893ca6f59bad5aedf983e8590e69", "generator_version": "3.0"}
{"id": "v3_test_id_00006983", "prompt": "Calculate: -32 * (-782 - (428 - (-100))) - (130 + (-10))", "solution_steps": ["Subtract: 428 - (-100) = 528", "Subtract: -782 - 528 = -1310", "Multiply: -32 * (-1310) = 41920", "Add: 130 + (-10) = 120", "Subtract: 41920 - 120 = 41800"], "final_answer": "41800", "answer_type": "integer", "kind": "expression", "math_text": "-32 * (-782 - (428 - (-100))) - (130 + (-10))", "variable": null, "family": "expression_5op", "shape": "(- (* n (- n (- n n))) (+ n n))", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -32, \"b\": -782, \"c\": 428, \"d\": -100, \"e\": 130, \"f\": -10}", "seed": "9036876828390530177", "semantic_fingerprint": "sha256:d9e8a99c6b49439680dd948c80c64db5009e0cc712c178e056460129644de807", "generator_version": "3.0"}
{"id": "v3_test_id_00006984", "prompt": "What is (40 + (-8)) / (-8 - 26)?", "solution_steps": ["Add: 40 + (-8) = 32", "Subtract: -8 - 26 = -34", "Divide: 32 / (-34) = -16/17"], "final_answer": "-16/17", "answer_type": "rational", "kind": "expression", "math_text": "(40 + (-8)) / (-8 - 26)", "variable": null, "family": "expression_3op", "shape": "(/ (+ n n) (- n n))", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 40, \"b\": -8, \"c\": -8, \"d\": 26}", "seed": "12876722838787889388", "semantic_fingerprint": "sha256:c52b3dbc3f51d177f7a734638d88fa85366b8fd4edc65890de75f0c5588b775f", "generator_version": "3.0"}
{"id": "v3_test_id_00006985", "prompt": "Solve for x: 8(x - 32) = -11(x + 25) + 361", "solution_steps": ["Expand: 8x - 256 = -11(x + 25) + 361", "Expand: 8x - 256 = -11x - 275 + 361", "Combine constants: 8x - 256 = -11x + 86", "Add 11x to both sides: 19x - 256 = 86", "Add 256 to both sides: 19x = 342", "Divide both sides by 19: x = 18"], "final_answer": "18", "answer_type": "integer", "kind": "linear_equation", "math_text": "8(x - 32) = -11(x + 25) + 361", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 8, \"b\": 32, \"c\": -11, \"d\": 25, \"f\": 361, \"x\": 18}", "seed": "3840304527093186629", "semantic_fingerprint": "sha256:806b454c975b47aa2ac648952eacaf3b89aa41244d86e50d64af861836d9d7bb", "generator_version": "3.0"}
{"id": "v3_test_id_00006986", "prompt": "Calculate: -1 / (-7) + (-15) * 6 / (-5) + 50", "solution_steps": ["Divide: -1 / (-7) = 1/7", "Multiply: -15 * 6 = -90", "Divide: -90 / (-5) = 18", "Add: 1/7 + 18 = 127/7", "Add: 127/7 + 50 = 477/7"], "final_answer": "477/7", "answer_type": "rational", "kind": "expression", "math_text": "-1 / (-7) + (-15) * 6 / (-5) + 50", "variable": null, "family": "expression_5op", "shape": "(+ (+ (/ n n) (/ (* n n) n)) n)", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": -1, \"b\": -7, \"c\": -15, \"d\": 6, \"e\": -5, \"f\": 50}", "seed": "4204738405534145316", "semantic_fingerprint": "sha256:7380c5dd05cac9a74e0c1e594d8023029553a2676512bff72d01ce8569d27616", "generator_version": "3.0"}
{"id": "v3_test_id_00006987", "prompt": "Solve for x: 2(x - 55) + 753 = -675", "solution_steps": ["Expand: 2x - 110 + 753 = -675", "Combine constants: 2x + 643 = -675", "Subtract 643 from both sides: 2x = -1318", "Divide both sides by 2: x = -659"], "final_answer": "-659", "answer_type": "integer", "kind": "linear_equation", "math_text": "2(x - 55) + 753 = -675", "variable": "x", "family": "linear_equation", "shape": "k(x-b)+c=c", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": 2, \"b\": 55, \"c\": 753, \"d\": -675}", "seed": "129087829895111057", "semantic_fingerprint": "sha256:bcbcf116bea51bb54638291e4d5a102b6c7090a0407a93280b67753b8dfea048", "generator_version": "3.0"}
{"id": "v3_test_id_00006988", "prompt": "Compute: (4 + (3 + (-9))) * 189", "solution_steps": ["Add: 3 + (-9) = -6", "Add: 4 + (-6) = -2", "Multiply: -2 * 189 = -378"], "final_answer": "-378", "answer_type": "integer", "kind": "expression", "math_text": "(4 + (3 + (-9))) * 189", "variable": null, "family": "expression_3op", "shape": "(* (+ n (+ n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 4, \"b\": 3, \"c\": -9, \"d\": 189}", "seed": "18288501428771243286", "semantic_fingerprint": "sha256:9a4c09cf05e760472f752b693f7e2747e9a536b78c4853c58154a0bf6b303d84", "generator_version": "3.0"}
{"id": "v3_test_id_00006989", "prompt": "Evaluate: 272 + 81 * (-11)", "solution_steps": ["Multiply: 81 * (-11) = -891", "Add: 272 + (-891) = -619"], "final_answer": "-619", "answer_type": "integer", "kind": "expression", "math_text": "272 + 81 * (-11)", "variable": null, "family": "expression_2op", "shape": "(+ n (* n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 272, \"b\": 81, \"c\": -11}", "seed": "135879182895089172", "semantic_fingerprint": "sha256:46ff9620a3d58d8f74d1b20a28eb48b8c1b6c180668c360dd71123ef75444c2e", "generator_version": "3.0"}
{"id": "v3_test_id_00006990", "prompt": "What is (99 - (2 - 235)) / 4?", "solution_steps": ["Subtract: 2 - 235 = -233", "Subtract: 99 - (-233) = 332", "Divide: 332 / 4 = 83"], "final_answer": "83", "answer_type": "integer", "kind": "expression", "math_text": "(99 - (2 - 235)) / 4", "variable": null, "family": "expression_3op", "shape": "(/ (- n (- n n)) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 99, \"b\": 2, \"c\": 235, \"d\": 4}", "seed": "3928217883360704376", "semantic_fingerprint": "sha256:4d3f7510fc11d5d1d9c3ef763db3a9eb1ea6feba364d15cfa34aa0d3ceb7e6ab", "generator_version": "3.0"}
{"id": "v3_test_id_00006991", "prompt": "Calculate: (-6 + (-2) + 163) / 315", "solution_steps": ["Add: -6 + (-2) = -8", "Add: -8 + 163 = 155", "Divide: 155 / 315 = 31/63"], "final_answer": "31/63", "answer_type": "rational", "kind": "expression", "math_text": "(-6 + (-2) + 163) / 315", "variable": null, "family": "expression_3op", "shape": "(/ (+ (+ n n) n) n)", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": -6, \"b\": -2, \"c\": 163, \"d\": 315}", "seed": "15013079122795171129", "semantic_fingerprint": "sha256:e5cad34b005d3e69ad04d55366013ffa4fa85011a4ba8dbb38495a851e9d516c", "generator_version": "3.0"}
{"id": "v3_test_id_00006992", "prompt": "Solve the equation 6(x - 3) = 5(x + 8) - 8 for x.", "solution_steps": ["Expand: 6x - 18 = 5(x + 8) - 8", "Expand: 6x - 18 = 5x + 40 - 8", "Combine constants: 6x - 18 = 5x + 32", "Subtract 5x from both sides: x - 18 = 32", "Add 18 to both sides: x = 50"], "final_answer": "50", "answer_type": "integer", "kind": "linear_equation", "math_text": "6(x - 3) = 5(x + 8) - 8", "variable": "x", "family": "linear_equation", "shape": "k(x-b)=k(x+b)-c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 3, \"c\": 5, \"d\": 8, \"e\": 8}", "seed": "14779875658099436712", "semantic_fingerprint": "sha256:5e6212a68ec85a4bf0a77aaefb08170300b0786c099e80598012c98dfc1655cc", "generator_version": "3.0"}
{"id": "v3_test_id_00006993", "prompt": "What value of x satisfies 3(x + 1) - 618 = 7(x + 2) + 7?", "solution_steps": ["Expand: 3x + 3 - 618 = 7(x + 2) + 7", "Expand: 3x + 3 - 618 = 7x + 14 + 7", "Combine constants: 3x - 615 = 7x + 14 + 7", "Combine constants: 3x - 615 = 7x + 21", "Subtract 7x from both sides: -4x - 615 = 21", "Add 615 to both sides: -4x = 636", "Divide both sides by -4: x = -159"], "final_answer": "-159", "answer_type": "integer", "kind": "linear_equation", "math_text": "3(x + 1) - 618 = 7(x + 2) + 7", "variable": "x", "family": "linear_equation", "shape": "k(x+b)-c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 3, \"b\": 1, \"c\": 618, \"d\": 7, \"e\": 2, \"f\": 7}", "seed": "16318424043027392873", "semantic_fingerprint": "sha256:e8fed648648a6494d0f5d3bbc4cfaa03ea9b87bdd57c66fe8cd0011cac8eb592", "generator_version": "3.0"}
{"id": "v3_test_id_00006994", "prompt": "Calculate: 57 * (53 - (-9))", "solution_steps": ["Subtract: 53 - (-9) = 62", "Multiply: 57 * 62 = 3534"], "final_answer": "3534", "answer_type": "integer", "kind": "expression", "math_text": "57 * (53 - (-9))", "variable": null, "family": "expression_2op", "shape": "(* n (- n n))", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": 57, \"b\": 53, \"c\": -9}", "seed": "11912686796693587196", "semantic_fingerprint": "sha256:6bd88d2f0675c234eea748299a9890858ecaf4e8b9fc21d01202793b863e6afb", "generator_version": "3.0"}
{"id": "v3_test_id_00006995", "prompt": "What value of x satisfies 12x = 9x + 33?", "solution_steps": ["Subtract 9x from both sides: 3x = 33", "Divide both sides by 3: x = 11"], "final_answer": "11", "answer_type": "integer", "kind": "linear_equation", "math_text": "12x = 9x + 33", "variable": "x", "family": "linear_equation", "shape": "kx=kx+c", "difficulty": 3, "number_range": "in_distribution", "params": "{\"a\": 12, \"b\": 9, \"d\": 33, \"x\": 11}", "seed": "4637665802010279586", "semantic_fingerprint": "sha256:f9279b44594fded3e9f12976a79e5b37e14b5dbfa16df77e8cfe1540598cb6d5", "generator_version": "3.0"}
{"id": "v3_test_id_00006996", "prompt": "Solve the equation 6(x + 25) + 77 = 9(x + 31) + 70 for x.", "solution_steps": ["Expand: 6x + 150 + 77 = 9(x + 31) + 70", "Expand: 6x + 150 + 77 = 9x + 279 + 70", "Combine constants: 6x + 227 = 9x + 279 + 70", "Combine constants: 6x + 227 = 9x + 349", "Subtract 9x from both sides: -3x + 227 = 349", "Subtract 227 from both sides: -3x = 122", "Divide both sides by -3: x = -122/3"], "final_answer": "-122/3", "answer_type": "rational", "kind": "linear_equation", "math_text": "6(x + 25) + 77 = 9(x + 31) + 70", "variable": "x", "family": "linear_equation", "shape": "k(x+b)+c=k(x+b)+c", "difficulty": 5, "number_range": "in_distribution", "params": "{\"a\": 6, \"b\": 25, \"c\": 77, \"d\": 9, \"e\": 31, \"f\": 70}", "seed": "17074731983692937396", "semantic_fingerprint": "sha256:32922293628f3dbab3634d9900c0e4db797a42d6dcc62418610a6448382006cd", "generator_version": "3.0"}
{"id": "v3_test_id_00006997", "prompt": "Evaluate: -75 * 69 + (-98)", "solution_steps": ["Multiply: -75 * 69 = -5175", "Add: -5175 + (-98) = -5273"], "final_answer": "-5273", "answer_type": "integer", "kind": "expression", "math_text": "-75 * 69 + (-98)", "variable": null, "family": "expression_2op", "shape": "(+ (* n n) n)", "difficulty": 2, "number_range": "in_distribution", "params": "{\"a\": -75, \"b\": 69, \"c\": -98}", "seed": "18427778559661572384", "semantic_fingerprint": "sha256:a0af29fdd0a59da2f6774c208bccc9a49dc3314f6558ce0d664e9afdfd8e183d", "generator_version": "3.0"}
{"id": "v3_test_id_00006998", "prompt": "Compute: -86 * (-3) * (-63 / (9 * 9))", "solution_steps": ["Multiply: -86 * (-3) = 258", "Multiply: 9 * 9 = 81", "Divide: -63 / 81 = -7/9", "Multiply: 258 * (-7/9) = -602/3"], "final_answer": "-602/3", "answer_type": "rational", "kind": "expression", "math_text": "-86 * (-3) * (-63 / (9 * 9))", "variable": null, "family": "expression_4op", "shape": "(* (* n n) (/ n (* n n)))", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -86, \"b\": -3, \"c\": -63, \"d\": 9, \"e\": 9}", "seed": "1020734068433030209", "semantic_fingerprint": "sha256:2b5e01bc3005db55c8eff9087463032230590772385726bfd5768974abf57e99", "generator_version": "3.0"}
{"id": "v3_test_id_00006999", "prompt": "Calculate: (-389 + (-73) / 15) * 53 * 30", "solution_steps": ["Divide: -73 / 15 = -73/15", "Add: -389 + (-73/15) = -5908/15", "Multiply: (-5908/15) * 53 = -313124/15", "Multiply: (-313124/15) * 30 = -626248"], "final_answer": "-626248", "answer_type": "integer", "kind": "expression", "math_text": "(-389 + (-73) / 15) * 53 * 30", "variable": null, "family": "expression_4op", "shape": "(* (* (+ n (/ n n)) n) n)", "difficulty": 4, "number_range": "in_distribution", "params": "{\"a\": -389, \"b\": -73, \"c\": 15, \"d\": 53, \"e\": 30}", "seed": "13814361951858479805", "semantic_fingerprint": "sha256:566d0fd8a4a3729a616c9c5f8ecaaa704c2b2dcc85458f807239164950ee411b", "generator_version": "3.0"}